#help-39 | Mathematics | Page 17

pearl pondBOT Nov 12, 2022, 12:58 AM

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pearl pondBOT Nov 12, 2022, 1:33 AM

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copper kestrel Nov 12, 2022, 1:41 AM

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there’s no definite point at x = 4.5, so I’d say [-5, 4.5)

fast zealot Nov 12, 2022, 1:41 AM

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copper kestrel there’s no definite point at x = 4.5, so I’d say [-5, 4.5)

why does it not go until infinity ?

copper kestrel Nov 12, 2022, 1:41 AM

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the range goes to - infinity

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not the domain

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actually

fast zealot Nov 12, 2022, 1:42 AM

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no

copper kestrel Nov 12, 2022, 1:42 AM

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there is an arrow

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hmm

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I guess that is infinity

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it’s likely [-5, infinity) now that I think about it

fast zealot Nov 12, 2022, 1:43 AM

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im pretty sure its [-5, infinity) as no endpoint of the function is specified

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soo what you want to look for in these

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is if a specific endpoint is defined on the graph your given

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like the little dot

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and if there as arrow

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this implies that it just continues like that forever unless another interval is given

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so look at x^2 as a good example

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no

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thats what the arrow implies

pearl pondBOT Nov 12, 2022, 1:47 AM

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pearl pondBOT Nov 12, 2022, 3:18 AM

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pearl pondBOT Nov 12, 2022, 3:37 AM

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patent flame Nov 12, 2022, 3:38 AM

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Do you know log rules?

cinder flower Nov 12, 2022, 3:40 AM

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<@&268886789983436800>

plush bramble Nov 12, 2022, 3:40 AM

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<@&268886789983436800>

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Ty nami

patent flame Nov 12, 2022, 3:42 AM

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@vital estuary you there?

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Oop

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@vast dune

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Ok

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Do you know general log rules?

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Ok so log(ab)= log(a) + log(b)

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Natural log is just log base e

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Keep the absolute value

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But yes

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Idk it's just there

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Well actually

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It's there cuz logs don't take negative numbers

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Unless you go complex

pearl pondBOT Nov 12, 2022, 3:47 AM

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desert tusk Nov 12, 2022, 3:56 AM

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complex number: z=1-i

pearl pondBOT Nov 12, 2022, 3:56 AM

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desert tusk complex number: z=1-i

desert tusk Nov 12, 2022, 3:56 AM

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what is the polar form?

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z=2^(1/2)(cos(7pi/8)+isin(7pi/8)) right ?

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answer says its -pi/4

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is there a mistake ?

shell oxide Nov 12, 2022, 3:58 AM

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The polar form is made of a magnitude m and angle(in radians) a, and it’s written like (m,a)

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,w polar form

desert tusk Nov 12, 2022, 3:59 AM

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So

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Is my angle right ?

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@shell oxide

shell oxide Nov 12, 2022, 4:00 AM

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Oh uhh u r right that it’s -pi/4

desert tusk Nov 12, 2022, 4:00 AM

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?

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my answer is 7pi/8

shell oxide Nov 12, 2022, 4:01 AM

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Can you walk me through your logic so that I can point out possible errors? Or just like snap a pic for me?

desert tusk Nov 12, 2022, 4:02 AM

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y is the imaginary part x is real

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So it makes a triangle

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then

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tan(1/1)=45

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so 7pi/8

shell oxide Nov 12, 2022, 4:03 AM

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Woah woah woah

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Ok so

desert tusk Nov 12, 2022, 4:03 AM

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._.

shell oxide Nov 12, 2022, 4:03 AM

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Tan(1/1) is 45 degrees?

desert tusk Nov 12, 2022, 4:03 AM

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i think

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omg

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Im a dumbass

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thanks

shell oxide Nov 12, 2022, 4:04 AM

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Tan, like all trig functions, takes in angles for input and spits out ratio of sides for outputs

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Np

desert tusk Nov 12, 2022, 4:04 AM

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.close

pearl pondBOT Nov 12, 2022, 4:04 AM

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noble sigil Nov 12, 2022, 4:26 AM

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pearl pondBOT Nov 12, 2022, 4:26 AM

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noble sigil

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Please don't occupy multiple help channels.

noble sigil Nov 12, 2022, 4:26 AM

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.close

pearl pondBOT Nov 12, 2022, 4:26 AM

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faint void Nov 12, 2022, 4:43 AM

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pearl pondBOT Nov 12, 2022, 4:43 AM

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faint void

faint void Nov 12, 2022, 4:43 AM

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the equation would be 0.6 = (1-0.045)^t

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where t represents thickness of ice in cm

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how would i solve this without a calculator

glossy parrot Nov 12, 2022, 4:52 AM

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1-0.045 = .955

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so now you have

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$0.6 = 0.955^t$

jolly parrotBOT Nov 12, 2022, 4:52 AM

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WhyWouldYouKap

glossy parrot Nov 12, 2022, 4:52 AM

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now you rearrange with logs

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t = log base .955 of 0.6

faint void Nov 12, 2022, 4:54 AM

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i would still need a calculator to solve that though no?

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im not rly familiar with solving logs

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/evaluating

glossy parrot Nov 12, 2022, 4:55 AM

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u would need a calculator

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bc of the change of base

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t = log 0.6 / log 0.955

faint void Nov 12, 2022, 4:57 AM

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it says to the nearest integer in the question would that still not be possible

upbeat mirage Nov 12, 2022, 5:01 AM

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You can round it

faint void Nov 12, 2022, 5:08 AM

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so like round .955^2, then multiply that by 0.95, until its around 0.6?

glossy parrot Nov 12, 2022, 5:09 AM

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is the no calc thing a self imposed rule or a test rule

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its about 11

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11.094 (3dp)

glossy parrot Nov 12, 2022, 5:14 AM

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glossy parrot $0.6 = 0.955^t$

but u could get it to here and use guess and check

faint void Nov 12, 2022, 5:15 AM

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its kinda self imposed but good 2 know that u kinda need a calculator

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.close

pearl pondBOT Nov 12, 2022, 5:15 AM

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pearl pondBOT Nov 13, 2022, 12:42 PM

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tardy epoch Nov 13, 2022, 1:00 PM

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how is d(df) proportional to $dx^2$?

pearl pondBOT Nov 13, 2022, 1:00 PM

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tardy epoch how is d(df) proportional to $dx^2$?

jolly parrotBOT Nov 13, 2022, 1:00 PM

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LichBaw_GT

elfin shale Nov 13, 2022, 1:02 PM

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tardy epoch Nov 13, 2022, 1:03 PM

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elfin shale

i think you posted it in the wrong channel

tardy epoch Nov 13, 2022, 1:05 PM

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elfin shale

delete this

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.close

pearl pondBOT Nov 13, 2022, 1:07 PM

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coarse pike Nov 13, 2022, 1:31 PM

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currently at (b), no idea how to start solving it 🙏 sorry if im too stupid to solve it myself

pearl pondBOT Nov 13, 2022, 1:31 PM

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coarse pike currently at (b), no idea how to start solving it 🙏 sorry if im too stupid to s...

safe pendant Nov 13, 2022, 1:33 PM

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you have the frequencies and the values, simply start multiplying them like 5 x 10 + 10.2 x 3 ... etc all the way to the end, and that sum divided by 40 must be 17.95

coarse pike Nov 13, 2022, 1:34 PM

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so i have to try all possible value for a and b from (a)?

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since there are 10 possible pairs of a and b i think

safe pendant Nov 13, 2022, 1:37 PM

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yeah I guess you could try

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couldn't think of an easier way

coarse pike Nov 13, 2022, 1:38 PM

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alright thank you

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.close

pearl pondBOT Nov 13, 2022, 1:38 PM

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pearl pondBOT Nov 13, 2022, 3:00 PM

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waxen kayak Nov 13, 2022, 3:01 PM

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hi

pearl pondBOT Nov 13, 2022, 3:01 PM

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waxen kayak hi

waxen kayak Nov 13, 2022, 3:01 PM

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i am doing this question

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on circle theorem

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i do have answer for x and y but idk if correct

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i came to conclude y = 32 because angle on same chord are equal

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and x = 90 because triangle which pass through diameter of circle is 90

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am i correct?

viscid oxide Nov 13, 2022, 3:03 PM

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y will be 32 if the 32° angle and y both were subtended by the same arc

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which is not the case here

waxen kayak Nov 13, 2022, 3:03 PM

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so y is not 32

viscid oxide Nov 13, 2022, 3:03 PM

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we see that angle SOR is 88
because SOR will be twice of SPR

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from there we can find ORS
then we will have y

vestal cobalt Nov 13, 2022, 3:04 PM

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SOR = 2 × SPR

waxen kayak Nov 13, 2022, 3:04 PM

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where is O

viscid oxide Nov 13, 2022, 3:04 PM

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O is the centre

waxen kayak Nov 13, 2022, 3:04 PM

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ohhh yea

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so isoceles?

viscid oxide Nov 13, 2022, 3:04 PM

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PQRS is cyclic quadrilateral

viscid oxide Nov 13, 2022, 3:04 PM

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waxen kayak so isoceles?

yep

vestal cobalt Nov 13, 2022, 3:05 PM

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SOR + 44 + y + 32 = 360

waxen kayak Nov 13, 2022, 3:05 PM

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180 - 88 = 92

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92 / 2 = 46

viscid oxide Nov 13, 2022, 3:05 PM

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viscid oxide PQRS is cyclic quadrilateral

and therefore, since we have OSR too, we have PSR
now in cyclic quadrilaterals opp angles are supplementary
thats how we can find x

waxen kayak Nov 13, 2022, 3:05 PM

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ohhhh yes 100%

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so like 32 + 46 = ORS?

viscid oxide Nov 13, 2022, 3:06 PM

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yes

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it should be

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so x is 102

waxen kayak Nov 13, 2022, 3:06 PM

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and y is 78?

viscid oxide Nov 13, 2022, 3:09 PM

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$y=180-(44+32+46+46)=180-168=12$

jolly parrotBOT Nov 13, 2022, 3:09 PM

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n11

waxen kayak Nov 13, 2022, 3:09 PM

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what?

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confused

viscid oxide Nov 13, 2022, 3:09 PM

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we have ORS=OSR=46 right?

jolly parrotBOT Nov 13, 2022, 3:13 PM

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n11

viscid oxide Nov 13, 2022, 3:14 PM

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hope this clears

pearl pondBOT Nov 13, 2022, 3:24 PM

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@waxen kayak Has your question been resolved?

pearl pondBOT Nov 13, 2022, 3:39 PM

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grizzled lodge Nov 13, 2022, 4:00 PM

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pearl pondBOT Nov 13, 2022, 4:00 PM

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grizzled lodge

midnight haven Nov 13, 2022, 4:06 PM

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consider the equation mod 6. The squares mod 6 are 0,1,4, so q1^2=1 mod6

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then maybe try and figure out what some of the other primes are

grizzled lodge Nov 13, 2022, 4:07 PM

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Okay ill see

shrewd basin Nov 13, 2022, 4:13 PM

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Probably easier to check mod 3

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Then 8

midnight haven Nov 13, 2022, 4:14 PM

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midnight haven consider the equation mod 6. The squares mod 6 are 0,1,4, so q1^2=1 mod6

ps 3 is also a square

midnight haven Nov 13, 2022, 4:14 PM

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shrewd basin Probably easier to check mod 3

hmm yeah

grizzled lodge Nov 13, 2022, 4:22 PM

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I think I got 5 2 2 2 2 3

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The only possibility?

pearl pondBOT Nov 13, 2022, 4:38 PM

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@grizzled lodge Has your question been resolved?

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dark jay Nov 13, 2022, 4:45 PM

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I dont understand how they got to the answer at all, like i dont understand the steps they took. How did they get pi/2 - theta = 4pi/9? Why did they need to show that 1/cos4pi/9 is equal to a?

pearl pondBOT Nov 13, 2022, 4:45 PM

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dark jay I dont understand how they got to the answer at all, like i dont understand the ...

dark jay Nov 13, 2022, 4:48 PM

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.close

pearl pondBOT Nov 13, 2022, 4:48 PM

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dark jay Nov 13, 2022, 4:50 PM

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.reopen

pearl pondBOT Nov 13, 2022, 4:50 PM

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✅

eternal verge Nov 13, 2022, 4:52 PM

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in the second column

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u understand the substitution?

dark jay Nov 13, 2022, 4:53 PM

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Yes

eternal verge Nov 13, 2022, 4:53 PM

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u realize what theta represents?

dark jay Nov 13, 2022, 4:53 PM

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Does it represent a?

eternal verge Nov 13, 2022, 4:53 PM

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its a variable

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it could be anything

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thats why on both sides u can subtitute theta with pi/18

dark jay Nov 13, 2022, 4:54 PM

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O ok

eternal verge Nov 13, 2022, 4:55 PM

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its fine; pi/2 - theta = 4pi/9

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this just says pi/2+4pi/9 adds up to a certain something

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which i have no idea about

dark jay Nov 13, 2022, 4:56 PM

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ok i think i understand the question now ty

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.close

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late sequoia Nov 13, 2022, 5:04 PM

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Hi

pearl pondBOT Nov 13, 2022, 5:04 PM

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late sequoia Hi

late sequoia Nov 13, 2022, 5:05 PM

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How to express number as a product of prime factors?

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616

old geyser Nov 13, 2022, 5:06 PM

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Easiest way to do this is to keep dividing by 2 until you can't

tropic saddle Nov 13, 2022, 5:08 PM

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then divide by 3 until you cant, then 5, 7, 11 etc and work your way up the list of primes

old geyser Nov 13, 2022, 5:16 PM

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Well

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I mean

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The funny thing about 616 is that you only need to do one step

pearl pondBOT Nov 13, 2022, 5:21 PM

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@late sequoia Has your question been resolved?

tropic saddle Nov 13, 2022, 5:23 PM

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one step?

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308 is not prime. so you need to repeat

vestal tapir Nov 13, 2022, 5:25 PM

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that's after one third of one step

tropic saddle Nov 13, 2022, 5:26 PM

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well ok if you wanna call all of dividing by 2 until you can't one step, sure. but not like 77 is prime either

pearl pondBOT Nov 13, 2022, 5:36 PM

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shell niche Nov 13, 2022, 5:42 PM

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Thsi is supposed to give x=+-1, what have I done wrong

pearl pondBOT Nov 13, 2022, 5:42 PM

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shell niche Thsi is supposed to give x=+-1, what have I done wrong

midnight haven Nov 13, 2022, 5:43 PM

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if x = -1 then y = -2, x^2-y^2 = -3

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so yeah x=1 is correct

shell niche Nov 13, 2022, 5:44 PM

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Oh, yeah. I read it wrong, x=1 is the right answer, thanks

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.close

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strange delta Nov 13, 2022, 6:05 PM

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How do you do part d)??

pearl pondBOT Nov 13, 2022, 6:05 PM

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strange delta How do you do part d)??

strange delta Nov 13, 2022, 6:07 PM

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<@&286206848099549185>

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there's also this idk

pearl pondBOT Nov 13, 2022, 6:23 PM

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@strange delta Has your question been resolved?

pearl pondBOT Nov 13, 2022, 6:53 PM

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@strange delta Has your question been resolved?

pearl pondBOT Nov 13, 2022, 7:53 PM

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@strange delta Has your question been resolved?

pearl pondBOT Nov 13, 2022, 8:53 PM

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pearl pondBOT Nov 13, 2022, 9:09 PM

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hollow wedge Nov 13, 2022, 9:16 PM

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i need help with power sums

pearl pondBOT Nov 13, 2022, 9:16 PM

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hollow wedge i need help with power sums

plush bramble Nov 13, 2022, 9:17 PM

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JustAsk

hollow wedge Nov 13, 2022, 9:17 PM

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So ive simplified this far

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and i know the first one is just 20*25

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but im not sure how to solve the second and third one

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since my teacher only explained how to solve in cases where the function was just m^2 or m

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Like this

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but i dont know how to apply this to the 15m and (9m^2)/4

plush bramble Nov 13, 2022, 9:20 PM

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Factor out 9/4 from the sum

fleet sky Nov 13, 2022, 9:20 PM

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so you can factor out

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yeah that

hollow wedge Nov 13, 2022, 9:20 PM

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how do i do that

fleet sky Nov 13, 2022, 9:22 PM

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The logic is like this. Say if we had the following:
$\ \sum_{i=1}^{n}3 j = 3 + 3(2) + 3(3) + ... + 3(n)\$
We can see that they all have a factor of 3, so we can factor that out:
$\ \sum_{i=1}^{n}3 j = 3 + 3(2) + 3(3) + ... + 3(n) = 3\sum_{i=1}^{n} j$

jolly parrotBOT Nov 13, 2022, 9:22 PM

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MellowDramaLlama

hollow wedge Nov 13, 2022, 9:22 PM

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ah i see

fleet sky Nov 13, 2022, 9:23 PM

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aka we can pull out constants out of sums

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then we have our standard form 🙂

hollow wedge Nov 13, 2022, 9:23 PM

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so solve regularly as if it was j^2 then just multiply by 9/4

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and same for 15m just multiply by 15

scenic finch Nov 13, 2022, 9:24 PM

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helphelphelp pls pls

fleet sky Nov 13, 2022, 9:24 PM

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yep! You'll multiply 9/4 by the sum formula: $\ \sum_{i=1}^{20} \frac{9}{4}m^2 = \frac{9}{4} \sum_{i=1}^{20} m^2$

fleet sky Nov 13, 2022, 9:24 PM

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scenic finch helphelphelp pls pls

#❓how-to-get-help

scenic finch Nov 13, 2022, 9:24 PM

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i need to solve x²+10x+21=0 and find x

fleet sky Nov 13, 2022, 9:24 PM

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this channel is occupied

jolly parrotBOT Nov 13, 2022, 9:25 PM

#

MellowDramaLlama

fleet sky Nov 13, 2022, 9:25 PM

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and we know how to solve that summation 🙂

hollow wedge Nov 13, 2022, 9:26 PM

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great thanks!!

fleet sky Nov 13, 2022, 9:26 PM

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yep np!

hollow wedge Nov 13, 2022, 9:27 PM

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.close

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obsidian nexus Nov 13, 2022, 9:43 PM

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pearl pondBOT Nov 13, 2022, 9:43 PM

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obsidian nexus

obsidian nexus Nov 13, 2022, 9:43 PM

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for some reason i cant get the correct answer for p

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i got it as 80gN the answer is meant to be 2160gN

pearl pondBOT Nov 13, 2022, 9:59 PM

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@obsidian nexus Has your question been resolved?

obsidian nexus Nov 13, 2022, 10:01 PM

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<@&286206848099549185>

pearl pondBOT Nov 13, 2022, 10:31 PM

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@obsidian nexus Has your question been resolved?

pearl pondBOT Nov 13, 2022, 11:44 PM

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@obsidian nexus Has your question been resolved?

pearl pondBOT Nov 14, 2022, 2:04 AM

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@obsidian nexus Has your question been resolved?

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tiny lily Nov 14, 2022, 4:08 AM

#

Would this be an arithmetic or geometric and how do I find out

pearl pondBOT Nov 14, 2022, 4:08 AM

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tiny lily Would this be an arithmetic or geometric and how do I find out

fleet sky Nov 14, 2022, 4:14 AM

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I don't think it's either... it's not arithmetic since there's not a common difference between the values, and it's not geometric because the values don't have a common ratio

tiny lily Nov 14, 2022, 4:15 AM

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fleet sky I don't think it's either... it's not arithmetic since there's not a common diff...

That's what I thought, I was just making sure I wasn't going crazy, and my teacher didn't give me instruction after i find out if it's neither

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Thanks

fleet sky Nov 14, 2022, 4:15 AM

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yeah that's weirdly worded... they don't say it can be neitherlol

tiny lily Nov 14, 2022, 4:15 AM

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Also if it's not Arithmetic or Geometric I cant find the common term?

midnight haven Nov 14, 2022, 4:16 AM

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hi

tiny lily Nov 14, 2022, 4:16 AM

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fleet sky yeah that's weirdly worded... they don't say it can be neitherlol

Sorry there was another sheet with it

fleet sky Nov 14, 2022, 4:16 AM

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yeah correct.

tiny lily Nov 14, 2022, 4:16 AM

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Alright thank you very much for your help

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!close

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.close

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midnight haven Nov 14, 2022, 4:16 AM

#

anyone here read manga ?

fleet sky Nov 14, 2022, 4:17 AM

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hi not on these help channels please. Head to either #discussion , #serious-discussion , or #chill

pearl pondBOT Nov 14, 2022, 3:39 PM

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outer hazel Nov 14, 2022, 3:40 PM

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Help

pearl pondBOT Nov 14, 2022, 3:40 PM

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outer hazel Help

outer hazel Nov 14, 2022, 3:40 PM

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I have this one math problem I’m struggling with can someone help me out?

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edgy veldt Nov 14, 2022, 3:45 PM

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u can form two equations using angles on a straight line and vertically opposite angles

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then solve for x and y

outer hazel Nov 14, 2022, 3:46 PM

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Alright

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I think I got it

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high magnet Nov 14, 2022, 4:27 PM

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how would i go about solving this?

pearl pondBOT Nov 14, 2022, 4:27 PM

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high magnet how would i go about solving this?

high magnet Nov 14, 2022, 4:28 PM

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i believe this is discrete mathematics, but i absolutely have no idea what i am supposed to be doing here

pearl pondBOT Nov 14, 2022, 4:43 PM

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@high magnet Has your question been resolved?

pearl pondBOT Nov 14, 2022, 5:13 PM

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@high magnet Has your question been resolved?

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pearl pondBOT Nov 14, 2022, 8:22 PM

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hasty dome Nov 14, 2022, 8:23 PM

#

I use CTCMath for school and they usually tend to not give things proper names and also tend to fail in explaining the formulas.
What I'm working on atm is Product and Addition Rules and I was doing fine until it gave me this problem:

pearl pondBOT Nov 14, 2022, 8:24 PM

#

hasty dome I use CTCMath for school and they usually tend to not give things proper names a...

hasty dome Nov 14, 2022, 8:24 PM

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(this, btw is all the help it gave and all the explanation it gave as well)

wet night Nov 14, 2022, 8:29 PM

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The number of possible dice domcinatilns is 36

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I think

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And you find number of combinations that sum to 9

pearl pondBOT Nov 14, 2022, 8:39 PM

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pearl pondBOT Nov 15, 2022, 1:40 AM

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devout grove Nov 15, 2022, 1:40 AM

#

I dont want answers, I want help understanding this

pearl pondBOT Nov 15, 2022, 1:40 AM

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devout grove I dont want answers, I want help understanding this

devout grove Nov 15, 2022, 1:42 AM

#

#

i need help pls

pearl pondBOT Nov 15, 2022, 2:07 AM

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@devout grove Has your question been resolved?

pearl pondBOT Nov 15, 2022, 2:40 AM

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@devout grove Has your question been resolved?

devout grove Nov 15, 2022, 2:40 AM

#

Not yet

pearl pondBOT Nov 15, 2022, 3:40 AM

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@devout grove Has your question been resolved?

slow pecan Nov 15, 2022, 3:41 AM

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Hi

pearl pondBOT Nov 15, 2022, 4:40 AM

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torn coral Nov 15, 2022, 6:07 AM

#

pearl pondBOT Nov 15, 2022, 6:07 AM

#

torn coral

midnight haven Nov 15, 2022, 6:10 AM

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How can it have only one solution I'm confusion thonk

cinder flower Nov 15, 2022, 6:10 AM

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can confirm it can

midnight haven Nov 15, 2022, 6:11 AM

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ah I see now

light helm Nov 15, 2022, 6:11 AM

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there seem to be two valid options here

midnight haven Nov 15, 2022, 6:12 AM

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😵‍💫

cinder flower Nov 15, 2022, 6:13 AM

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yea lol

pearl pondBOT Nov 15, 2022, 6:22 AM

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@torn coral Has your question been resolved?

torn coral Nov 15, 2022, 6:23 AM

#

wait can smn explian

plush bramble Nov 15, 2022, 6:25 AM

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torn coral wait can smn explian

Plot it?

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By that I mean plot 2sin(x)+1 and see when there's only one intersection with horizontal lines y=b in your interval (0,2pi)

#

Try setting b equal to all your options on the graph

pearl pondBOT Nov 15, 2022, 6:37 AM

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hard plank Nov 15, 2022, 8:20 AM

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What the hell?

pearl pondBOT Nov 15, 2022, 8:20 AM

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hard plank What the hell?

gusty hamlet Nov 15, 2022, 8:20 AM

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hi

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can someone help

hard plank Nov 15, 2022, 8:20 AM

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yes

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someone help

dull lion Nov 15, 2022, 8:22 AM

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hard plank What the hell?

What is the context?

hard plank Nov 15, 2022, 8:23 AM

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dull lion What is the context?

Like how do it their is 24.5L and 19 Lc

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How do I convert to Lc

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I'm confused

dull lion Nov 15, 2022, 8:23 AM

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Yeah. What subject is this? Chemistry?

hard plank Nov 15, 2022, 8:23 AM

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Math

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Algebra

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dull lion Nov 15, 2022, 8:26 AM

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hard plank What the hell?

Check with your teacher to see if there is some mistake

because, even if you convert the wrongly written units of Lc -> corrected -> cL -> convert -> L

it would be L•L which is L^2

hard plank Nov 15, 2022, 8:27 AM

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dull lion Check with your teacher to see if there is some mistake because, even if you co...

so that problem is wrong and unsolvable?

dull lion Nov 15, 2022, 8:28 AM

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Yeah according to the labeled units of the wanted answer

hard plank Nov 15, 2022, 8:28 AM

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Alright I will ask her thanks!

limber ravine Nov 15, 2022, 8:28 AM

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dull lion Yeah according to the labeled units of the wanted answer

Not if you write units in your answer awoogenzoom

hard plank Nov 15, 2022, 8:28 AM

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oh what

hard plank Nov 15, 2022, 8:29 AM

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limber ravine Not if you write units in your answer<:awoogenzoom:640699498359947284> <:awoogen...

Can you elaborate?

limber ravine Nov 15, 2022, 8:30 AM

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Well, it's probably not the wanted answer, and it's most likely a mistake in the question, but if you out "245L" as the answer, the equality holds

hard plank Nov 15, 2022, 8:32 AM

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So remove the 245L? But if I do that their will be 2 Lc's

limber ravine Nov 15, 2022, 8:33 AM

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What do you mean remove?

hard plank Nov 15, 2022, 8:33 AM

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Cause you said out 245 L

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oh wait

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I get it now

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Thanks @limber ravine

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I will still ask my teacher

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Thanks guys I appreciate you help

#

.close

pearl pondBOT Nov 15, 2022, 8:34 AM

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tired lake Nov 15, 2022, 10:55 AM

#

please how can i do this

pearl pondBOT Nov 15, 2022, 10:55 AM

#

tired lake please how can i do this

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@tired lake Has your question been resolved?

pearl pondBOT Nov 15, 2022, 11:45 AM

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@tired lake Has your question been resolved?

pearl pondBOT Nov 15, 2022, 1:05 PM

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@tired lake Has your question been resolved?

tired lake Nov 15, 2022, 1:26 PM

#

<@&286206848099549185>

#

pls

pearl pondBOT Nov 15, 2022, 3:26 PM

#

@tired lake Has your question been resolved?

midnight haven Nov 15, 2022, 4:09 PM

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tired lake please how can i do this

I am not sure that I understand the whole question, but it seems that if you start from A⇒(A∨B) and B⇒(A∨B), the rest is easy.

tired lake Nov 15, 2022, 4:19 PM

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midnight haven I am not sure that I understand the whole question, but it seems that if you sta...

i dont get it

midnight haven Nov 15, 2022, 4:21 PM

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I am not sure, what you can use. Is A⇒(A∨B) an axiom?

tired lake Nov 15, 2022, 4:23 PM

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midnight haven I am not sure, what you can use. Is A⇒(A∨B) an axiom?

do you know how to do this one?

#

#

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i think first one is demorgan but not sure

midnight haven Nov 15, 2022, 4:24 PM

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hm

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3 is de Morgan, can you identify 2, 4, 5?

tired lake Nov 15, 2022, 4:28 PM

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midnight haven 3 is de Morgan, can you identify 2, 4, 5?

im not really sure with 4 or 5

midnight haven Nov 15, 2022, 4:29 PM

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2 and 5 is definition of implication - you change implication to or and back

tired lake Nov 15, 2022, 4:30 PM

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midnight haven 2 and 5 is definition of implication - you change implication to or and back

i see

midnight haven Nov 15, 2022, 4:31 PM

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good

tired lake Nov 15, 2022, 4:33 PM

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midnight haven 2 and 5 is definition of implication - you change implication to or and back

would 4 be

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distributivity

midnight haven Nov 15, 2022, 4:33 PM

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yes

tired lake Nov 15, 2022, 4:33 PM

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because it consists of 3 nots

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it cant be de morgan so

tired lake Nov 15, 2022, 4:34 PM

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midnight haven yes

but im confused on 2

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how is two implication? to or and back

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there's no implication sign or notation

midnight haven Nov 15, 2022, 4:34 PM

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1 had implication, 2 has or

tired lake Nov 15, 2022, 4:35 PM

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to be clear which one are you referring to

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top or bottom?

midnight haven Nov 15, 2022, 4:35 PM

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in 2 from implication to or

tired lake Nov 15, 2022, 4:35 PM

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for 5 would it be the opposite?

midnight haven Nov 15, 2022, 4:36 PM

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yes

tired lake Nov 15, 2022, 4:36 PM

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ah that makes sense

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thank you!

midnight haven Nov 15, 2022, 4:36 PM

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do you see that the whole question is about explaining a derivation?

tired lake Nov 15, 2022, 4:37 PM

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derivation meaning

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the one from before

midnight haven Nov 15, 2022, 4:37 PM

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I am sorry, I do not know English terminology

tired lake Nov 15, 2022, 4:38 PM

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the previous equation is derived by the next one

tired lake Nov 15, 2022, 4:38 PM

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midnight haven I am sorry, I do not know English terminology

oh

midnight haven Nov 15, 2022, 4:38 PM

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yes

tired lake Nov 15, 2022, 4:38 PM

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np

tired lake Nov 15, 2022, 4:38 PM

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midnight haven yes

thanks for the help

midnight haven Nov 15, 2022, 4:38 PM

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nice that I could help

tired lake Nov 15, 2022, 4:39 PM

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.close

pearl pondBOT Nov 15, 2022, 4:39 PM

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pearl pondBOT Nov 15, 2022, 6:38 PM

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proper merlin Nov 15, 2022, 6:52 PM

#

pearl pondBOT Nov 15, 2022, 6:52 PM

#

proper merlin

proper merlin Nov 15, 2022, 6:52 PM

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I don't know if I did it correctly with 1.1 and 1.2 and also need help to solve 1.3 and 1.4

pearl pondBOT Nov 15, 2022, 7:07 PM

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@proper merlin Has your question been resolved?

pearl pondBOT Nov 15, 2022, 7:38 PM

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@proper merlin Has your question been resolved?

proper merlin Nov 15, 2022, 8:17 PM

#

<@&286206848099549185>

pearl pondBOT Nov 15, 2022, 9:17 PM

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@proper merlin Has your question been resolved?

proper merlin Nov 15, 2022, 9:57 PM

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.close

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quartz yew Nov 15, 2022, 10:40 PM

#

Find the equation of a line containing points A(2a+1,3b) and B(-5a,3-6b) parallel to y = 1/2 + 10

pearl pondBOT Nov 15, 2022, 10:40 PM

#

quartz yew Find the equation of a line containing points A(2a+1,3b) and B(-5a,3-6b) paralle...

quartz yew Nov 15, 2022, 10:42 PM

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I straight up don't know how to solve these. I can only get to figuring out the variables A & B but idk were to go from there

#

<@&286206848099549185>

pearl pondBOT Nov 15, 2022, 11:11 PM

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@quartz yew Has your question been resolved?

quartz yew Nov 15, 2022, 11:21 PM

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.close

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vivid forge Nov 15, 2022, 11:24 PM

#

pearl pondBOT Nov 15, 2022, 11:24 PM

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vivid forge

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Channel closed

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drifting bone Nov 16, 2022, 12:01 AM

#

#

.close

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.reopen

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oh nvm

#

please help I’m begging 😭😭

pearl pondBOT Nov 16, 2022, 12:53 AM

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mighty ginkgo Nov 16, 2022, 12:58 AM

#

pearl pondBOT Nov 16, 2022, 12:58 AM

#

mighty ginkgo

mighty ginkgo Nov 16, 2022, 12:59 AM

#

First time doing trigonometric ratios for functions

vapid grove Nov 16, 2022, 12:59 AM

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which quetion

mighty ginkgo Nov 16, 2022, 12:59 AM

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So can someone explain how to do 4 b please

vapid grove Nov 16, 2022, 1:00 AM

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my english sucks, i cant help

mighty ginkgo Nov 16, 2022, 1:00 AM

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Awww okay

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It’s ok

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Ty

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What language do u speak

vapid grove Nov 16, 2022, 1:01 AM

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english but it sucks

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i can only do maths

mighty ginkgo Nov 16, 2022, 1:01 AM

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Okay u don’t have to explain it

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You can just show it to me

vapid grove Nov 16, 2022, 1:01 AM

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i think u just plug it into the calculator??

mighty ginkgo Nov 16, 2022, 1:02 AM

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There’s no sec on an calcuatkr

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At least not mines

vapid grove Nov 16, 2022, 1:02 AM

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because it says to evaluate to the nearest hundrth which means there is a decimal

mighty ginkgo Nov 16, 2022, 1:02 AM

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Yes

vapid grove Nov 16, 2022, 1:02 AM

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mighty ginkgo There’s no sec on an calcuatkr

wait, let me get an imag erq

mighty ginkgo Nov 16, 2022, 1:02 AM

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Okay

vapid grove Nov 16, 2022, 1:03 AM

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Screen_Shot_2022-11-16_at_12.02.51_pm.png

#

cot is 1/tan

mighty ginkgo Nov 16, 2022, 1:03 AM

#

Okok thank you

#

I get it known

#

Now

#

.close

pearl pondBOT Nov 16, 2022, 1:04 AM

#

Channel closed

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hexed granite Nov 16, 2022, 1:20 AM

#

1+1 is?

pearl pondBOT Nov 16, 2022, 1:20 AM

#

hexed granite 1+1 is?

mossy canopy Nov 16, 2022, 1:21 AM

#

2 in most cases

#

depends on which structure we are in

#

but in most cases it is 2

#

for example

#

$\mathbb{F}_{2}$

jolly parrotBOT Nov 16, 2022, 1:23 AM

#

~Martin

mossy canopy Nov 16, 2022, 1:23 AM

#

this is a field

#

a field is a structure containing elements, numbers if you will

#

a field has properties

#

in algebra, a field for example has the properties:
a(b+c)=ab+ac
a+(b+c)=(a+b)+c
a+b=b+a
similar stuff for multiplication
also inverse and neutral elements

#

F2 now is a field with just 2 elements

#

0 and 1

#

so

#

0+0=0
0+1=1+0=1
1+1=0

#

that would be an exception to 1+1=2

#

but generally we can assume 1+1=2 because we mostly deal with natural/whole/real/complex numbers
for these 1+1=2 is always correct

pearl pondBOT Nov 16, 2022, 1:35 AM

#

@hexed granite Has your question been resolved?

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vapid grove Nov 16, 2022, 2:46 AM

#

Screen_Shot_2022-11-16_at_1.45.24_pm.png

pearl pondBOT Nov 16, 2022, 2:46 AM

#

vapid grove

vapid grove Nov 16, 2022, 2:46 AM

#

trig identities, how do i solve this

bold ledge Nov 16, 2022, 2:54 AM

#

honestly I would just plug in a bunch of numbers and see which work

#

but

#

since it's mostly sin from answer choices

#

you probably want to write

#

cos(2x)=1-2sin^2(x)

#

actually maybe it's difference of squares

#

try both

cunning heart Nov 16, 2022, 3:01 AM

#

difference of squares

cunning heart Nov 16, 2022, 3:02 AM

#

vapid grove

pearl pondBOT Nov 16, 2022, 3:07 AM

#

@vapid grove Has your question been resolved?

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uncut pine Nov 16, 2022, 3:07 PM

#

,tex $f(x)=\floor{x}+\floor{2x}-\floor{3x}+2}$

pearl pondBOT Nov 16, 2022, 3:07 PM

#

uncut pine ,tex $f(x)=\floor{x}+\floor{2x}-\floor{3x}+2}$

jolly parrotBOT Nov 16, 2022, 3:07 PM

#

j0sephTheA
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

uncut pine Nov 16, 2022, 3:08 PM

#

Hey,
what is the highest value of this function?

eternal verge Nov 16, 2022, 3:12 PM

#

2..?

uncut pine Nov 16, 2022, 3:16 PM

#

.close

pearl pondBOT Nov 16, 2022, 3:16 PM

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dark thistle Nov 16, 2022, 3:27 PM

#

{\displaystyle n=qm+r,\quad n,q,m,r\in \mathbb {Z} ,\quad m\not =0,\quad 0\leq r<m}
wtf is this

pearl pondBOT Nov 16, 2022, 3:27 PM

#

dark thistle {\displaystyle n=qm+r,\quad n,q,m,r\in \mathbb {Z} ,\quad m\not =0,\quad 0\leq r...

toxic lichen Nov 16, 2022, 3:28 PM

#

some mildly shoddy LaTeX code

dark thistle Nov 16, 2022, 3:28 PM

#

is it even math

#

i was told it was math

toxic lichen Nov 16, 2022, 3:28 PM

#

it's something mathematical written in a markup language called LaTeX

dark thistle Nov 16, 2022, 3:28 PM

#

oh

#

well thanks

tropic niche Nov 16, 2022, 3:37 PM

#

You forgot the $

pearl pondBOT Nov 16, 2022, 3:43 PM

#

@dark thistle Has your question been resolved?

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midnight haven Nov 16, 2022, 3:51 PM

#

quick question how do you write for all real numbers

pearl pondBOT Nov 16, 2022, 3:51 PM

#

midnight haven quick question how do you write for all real numbers

tropic saddle Nov 16, 2022, 3:53 PM

#

"for all real numbers"

#

or $\forall x\in\bR$

jolly parrotBOT Nov 16, 2022, 3:53 PM

#

Denascite

midnight haven Nov 16, 2022, 3:53 PM

#

that’s what I was looking for

#

tyty

#

.close

pearl pondBOT Nov 16, 2022, 3:54 PM

#

Channel closed

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pearl pondBOT Nov 16, 2022, 6:28 PM

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white coral Nov 16, 2022, 6:32 PM

#

I don’t know how to do this, I don’t have to know the number of people in the room?

pearl pondBOT Nov 16, 2022, 6:32 PM

#

white coral I don’t know how to do this, I don’t have to know the number of people in the ro...

clear trench Nov 16, 2022, 6:35 PM

#

Well to come to a numeric value yes. But here you want something in terms of n. So for example what's the probability when n=10.

white coral Nov 16, 2022, 6:36 PM

#

Ooh okay okay

night urchin Nov 16, 2022, 6:36 PM

#

for 18b, consider the probability all n people are born on different days

#

i.e. calculate the complement

white coral Nov 16, 2022, 6:36 PM

#

Mmm so, the possible cases are n? and the total also n? for the 18a

night urchin Nov 16, 2022, 6:37 PM

#

?

#

for 18a you just have two people lol

#

where is the n

white coral Nov 16, 2022, 6:38 PM

#

Oh sorry sorry

#

So possibles cases are 2 and the total is n?

night urchin Nov 16, 2022, 6:38 PM

#

no and no

#

as I said there is no n

clear trench Nov 16, 2022, 6:39 PM

#

n is just the amount of people in 18b

night urchin Nov 16, 2022, 6:39 PM

#

you have 2 people

#

you look at which day of week person 1 was born, and which day of week person 2 was born

white coral Nov 16, 2022, 6:40 PM

#

So... I have two events, and that events are and intersection A intersect B? cause both have to be the same day? for 18a

night urchin Nov 16, 2022, 6:41 PM

#

not really

white coral Nov 16, 2022, 6:41 PM

#

why?

night urchin Nov 16, 2022, 6:42 PM

#

this is not the intersection of two events, it is more like the union of seven events

white coral Nov 16, 2022, 6:43 PM

#

seven events is the days of the week, right?

night urchin Nov 16, 2022, 6:43 PM

#

yes

white coral Nov 16, 2022, 6:43 PM

#

oooh that is the event when a person birth

#

but union is p(a)+p(b)-p(a intersect b), and that intersection will be when someone birth the same day?

night urchin Nov 16, 2022, 6:44 PM

#

I...

#

what is a and b here

#

I dont even

white coral Nov 16, 2022, 6:45 PM

#

mmm a day of the week?

#

it will be seven letters

#

but it can't be and intersection between all days

night urchin Nov 16, 2022, 6:46 PM

#

you are confused, before talking about events you need to get your sample space correct

#

what is the sample space for this experiment

white coral Nov 16, 2022, 6:48 PM

#

the seven days of the week

night urchin Nov 16, 2022, 6:48 PM

#

no

white coral Nov 16, 2022, 6:48 PM

#

:o

#

why?

#

all days of the year

night urchin Nov 16, 2022, 6:49 PM

#

we pick 2 people, we ask which day of the week they were born in

#

we can get something like (Monday, Tuesday)

#

(Sunday, Friday)

#

(Thursday, Thursday)

#

where the first element is the answer first person gave, second element answer second person gave

white coral Nov 16, 2022, 6:50 PM

#

pairs of two days of the week

night urchin Nov 16, 2022, 6:50 PM

#

yes

white coral Nov 16, 2022, 6:50 PM

#

C(7,2)

#

combinatorics?

night urchin Nov 16, 2022, 6:51 PM

#

wait wait what

white coral Nov 16, 2022, 6:51 PM

#

no :c

night urchin Nov 16, 2022, 6:51 PM

#

what are you calculating

#

?

white coral Nov 16, 2022, 6:51 PM

#

The number of pairs

night urchin Nov 16, 2022, 6:51 PM

#

that is very wrong

white coral Nov 16, 2022, 6:51 PM

#

:o

#

why? :c

#

pandaOhNo

night urchin Nov 16, 2022, 6:51 PM

#

there are 7 options for the first, and 7 options for the second?

#

there are 7^2 pairs

#

you take combinations when there are no repeats and order doesnt matter

#

here there are repeats and order does matter

white coral Nov 16, 2022, 6:53 PM

#

Aaa I get it :')

#

So 7^2 will be my sample space?

night urchin Nov 16, 2022, 6:54 PM

#

that is a wrong way to think about it, 7^2 is the size of your sample space

#

your sample space is pairs of days of the week

#

but yes

#

and what are the events you want

white coral Nov 16, 2022, 6:56 PM

#

when I have repetition

night urchin Nov 16, 2022, 6:56 PM

#

yes

#

how many of those are there

#

pairs that repeat

white coral Nov 16, 2022, 6:58 PM

#

7

night urchin Nov 16, 2022, 6:58 PM

#

yes, so whats the probability

white coral Nov 16, 2022, 6:59 PM

#

7/7^2?

night urchin Nov 16, 2022, 6:59 PM

#

yes

white coral Nov 16, 2022, 6:59 PM

#

pandaWow

#

pandaHugg

night urchin Nov 16, 2022, 7:00 PM

#

good job, but to be clear 18a is supposed to be much easier than the rest of those questions and uhh, I would suggest studying more before doing the rest

white coral Nov 16, 2022, 7:03 PM

#

oki doki, thank you so much, sorry for being slow

night urchin Nov 16, 2022, 7:04 PM

#

np

#

good luck

white coral Nov 16, 2022, 7:04 PM

#

💗

#

.close

pearl pondBOT Nov 16, 2022, 7:04 PM

#

Channel closed

Closed by @white coral

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pearl pondBOT Nov 16, 2022, 7:30 PM

#

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midnight haven Nov 16, 2022, 7:33 PM

#

did I do this correct

pearl pondBOT Nov 16, 2022, 7:33 PM

#

midnight haven did I do this correct

dim sage Nov 16, 2022, 7:37 PM

#

midnight haven did I do this correct

First u tell me how does that triangle even exist

#

15 is hypotenuse and 15 is one side ???

midnight haven Nov 16, 2022, 7:37 PM

#

dude idk

#

Ik I did something wrong

#

I just kept going cause I didn't know how to do it

dim sage Nov 16, 2022, 7:40 PM

#

midnight haven I just kept going cause I didn't know how to do it

What was the question originally?

midnight haven Nov 16, 2022, 7:40 PM

#

Find the angle measure of W

dim sage Nov 16, 2022, 7:40 PM

#

Did it include that triangle?

midnight haven Nov 16, 2022, 7:40 PM

#

mhm

#

without the 15

#

I added

#

#

wait I think Ik what I did

#

1 sec

dim sage Nov 16, 2022, 7:42 PM

#

...

#

Use Pythagoras to find base then proceed...

midnight haven Nov 16, 2022, 7:43 PM

#

idk how

#

forgot

#

a^2 + b^2 = c^2?

dim sage Nov 16, 2022, 7:45 PM

#

midnight haven idk how

U don't know Pythagoras theorum?

#

Yes

midnight haven Nov 16, 2022, 7:45 PM

#

ye

#

I do nvm

#

@dim sage

#

think I did it wrong again

#

or a. is wrong

dim sage Nov 16, 2022, 7:59 PM

#

@midnight haven learn Pythagoras please

#

C should be 15...

pearl pondBOT Nov 16, 2022, 8:15 PM

#

@midnight haven Has your question been resolved?

pearl pondBOT Nov 16, 2022, 8:30 PM

#

Channel closed

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covert basalt Nov 16, 2022, 8:32 PM

#

Hello

pearl pondBOT Nov 16, 2022, 8:32 PM

#

covert basalt Hello

covert basalt Nov 16, 2022, 8:32 PM

#

Am I able to find help here

honest bough Nov 16, 2022, 8:33 PM

#

Yes

covert basalt Nov 16, 2022, 8:33 PM

#

Could I please have help with this page

#

Is this possible? This is my first time doing something like this

pearl pondBOT Nov 16, 2022, 8:51 PM

#

@covert basalt Has your question been resolved?

covert basalt Nov 16, 2022, 9:03 PM

#

Hello

pearl pondBOT Nov 16, 2022, 9:42 PM

#

@covert basalt Has your question been resolved?

pearl pondBOT Nov 16, 2022, 10:12 PM

#

Channel closed

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pearl pondBOT Nov 16, 2022, 10:29 PM

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orchid cobalt Nov 16, 2022, 10:34 PM

#

when optimizing how do I find the other variable? For example, I want to maximize the area of a rectangle with certain restrictions, I solve for x and find it, now I know what value of x makes the area function to maximize, I need to know z for example, because xz is area, so how do I find z?

pearl pondBOT Nov 16, 2022, 10:34 PM

#

orchid cobalt when optimizing how do I find the other variable? For example, I want to maximiz...

orchid cobalt Nov 16, 2022, 10:34 PM

#

Do I have to do everything I did but instead solving for x I solve for z?

#

or is there like a shortcut or something?

buoyant panther Nov 16, 2022, 10:35 PM

#

orchid cobalt when optimizing how do I find the other variable? For example, I want to maximiz...

max area is for x you've already found so

#

wait, do you know the area?

#

or something other

orchid cobalt Nov 16, 2022, 10:35 PM

#

yeah

buoyant panther Nov 16, 2022, 10:36 PM

#

so then plug x into formula for the area and solve for z

#

aka z = A/x

orchid cobalt Nov 16, 2022, 10:36 PM

#

since I know x, then I know when what's the maximum area

orchid cobalt Nov 16, 2022, 10:36 PM

#

buoyant panther aka z = A/x

I do that but it doesn't work tho

#

I don't know if I'm tripping but it doesn't work

#

it gives another value

#

that doesn't match with the graph

buoyant panther Nov 16, 2022, 10:37 PM

#

Can you post the original problem/question?

orchid cobalt Nov 16, 2022, 10:37 PM

#

#

this is the function*

#

and the critical points

#

since it's a rectangle I get that x and y are the same

#

but it's obviously not, maybe i'm dumb

buoyant panther Nov 16, 2022, 10:41 PM

#

,w critical points (600/y-4)(y-5)

jolly parrotBOT Nov 16, 2022, 10:41 PM

#

Results provided by WolframAlpha

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orchid cobalt Nov 16, 2022, 10:45 PM

#

bro

#

I'm so confused

orchid cobalt Nov 16, 2022, 10:47 PM

#

orchid cobalt and the critical points

@buoyant panther what exactly is this?

buoyant panther Nov 16, 2022, 10:48 PM

#

idk, was that your derivative?

orchid cobalt Nov 16, 2022, 10:48 PM

#

buoyant panther Nov 16, 2022, 10:48 PM

#

-5 *

#

not 4

orchid cobalt Nov 16, 2022, 10:48 PM

#

ohhhh

#

bro

#

thank you so much

#

my mind is blown, such a stupid mistake

#

.close

pearl pondBOT Nov 16, 2022, 10:51 PM

#

Channel closed

Closed by @orchid cobalt

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placid bane Nov 16, 2022, 10:56 PM

#

rn_image_picker_lib_temp_8da3e1e7-15cf-4544-af87-385e36026093.jpg

pearl pondBOT Nov 16, 2022, 10:56 PM

#

placid bane

placid bane Nov 16, 2022, 10:56 PM

#

How would I simplify this and what identity would I use

honest bough Nov 16, 2022, 10:58 PM

#

Factor it

placid bane Nov 16, 2022, 10:58 PM

#

How

honest bough Nov 16, 2022, 10:59 PM

#

Start with a simplification

#

Let u = cos²x

#

What's the equation in terms of u?

placid bane Nov 16, 2022, 11:00 PM

#

1-2u+u^2

honest bough Nov 16, 2022, 11:00 PM

#

Now you have a quadratic

#

Factor it

placid bane Nov 16, 2022, 11:01 PM

#

(u-2)(u+1)?

honest bough Nov 16, 2022, 11:02 PM

#

How'd you get that?

hollow grove Nov 16, 2022, 11:02 PM

#

try again

placid bane Nov 16, 2022, 11:06 PM

#

How would I split the the 2u

honest bough Nov 16, 2022, 11:07 PM

#

u² - 2u + 1

#

What two numbers multiply to 1 and add to -2

placid bane Nov 16, 2022, 11:08 PM

#

-1 and - 1

honest bough Nov 16, 2022, 11:08 PM

#

So what's the factored expression?

placid bane Nov 16, 2022, 11:09 PM

#

(u-1)(u-1)

honest bough Nov 16, 2022, 11:10 PM

#

Yes

#

Now replace u with cos²x

placid bane Nov 16, 2022, 11:11 PM

#

(cos²x - 1) (cos²x - 1)

honest bough Nov 16, 2022, 11:12 PM

#

Now use identities

placid bane Nov 16, 2022, 11:13 PM

#

(sin²x) (sin²x)

#

Would that multiply to sin⁴x?

honest bough Nov 16, 2022, 11:14 PM

#

Yes

placid bane Nov 16, 2022, 11:14 PM

#

Thanks

#

.close

pearl pondBOT Nov 16, 2022, 11:15 PM

#

Channel closed

Closed by @placid bane

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#

distant wadi Nov 16, 2022, 11:27 PM

#

turn them into improper fractions, make the denominator the same, add together and then make it a mixed number

pearl pondBOT Nov 16, 2022, 11:27 PM

#

Channel closed

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ionic thistle Nov 16, 2022, 11:39 PM

#

Hello! Did I resolve it well?

pearl pondBOT Nov 16, 2022, 11:39 PM

#

ionic thistle Hello! Did I resolve it well?

#

@ionic thistle Has your question been resolved?

ionic thistle Nov 17, 2022, 12:09 AM

#

.close

pearl pondBOT Nov 17, 2022, 12:09 AM

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Channel closed

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noble root Nov 17, 2022, 2:47 AM

#

help

pearl pondBOT Nov 17, 2022, 2:47 AM

#

noble root help

noble root Nov 17, 2022, 2:47 AM

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pls

junior flower Nov 17, 2022, 2:49 AM

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With what?

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You are supposed to just ask the question instead of saying help pls.

coarse dawn Nov 17, 2022, 2:49 AM

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noble root help

noble root Nov 17, 2022, 2:53 AM

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i dont know if ur suppose to add it all up

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noble root Nov 17, 2022, 2:54 AM

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junior flower With what?

srry

pearl pondBOT Nov 17, 2022, 3:09 AM

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@noble root Has your question been resolved?

pearl pondBOT Nov 17, 2022, 3:41 AM

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@noble root Has your question been resolved?

pearl pondBOT Nov 17, 2022, 4:11 AM

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Channel closed

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pearl pondBOT Nov 17, 2022, 3:40 PM

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steady arch Nov 17, 2022, 4:01 PM

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How to do b

pearl pondBOT Nov 17, 2022, 4:01 PM

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steady arch How to do b

short magnet Nov 17, 2022, 4:02 PM

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area of garden is length x width of the rectangle

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and is 45

midnight haven Nov 17, 2022, 4:02 PM

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what is this for thonk

steady arch Nov 17, 2022, 4:03 PM

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revision booklet for exam tommorow

midnight haven Nov 17, 2022, 4:03 PM

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fair enough

short magnet Nov 17, 2022, 4:03 PM

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b*c is product of inner terms

midnight haven Nov 17, 2022, 4:04 PM

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steady arch How to do b

anyways you are on the right track, just do the quadratic u did in part a

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for 45

steady arch Nov 17, 2022, 4:04 PM

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i have no idea what that means

midnight haven Nov 17, 2022, 4:04 PM

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okay

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solve

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$x^2+10x+21 = 45$

steady arch Nov 17, 2022, 4:05 PM

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yes?

midnight haven Nov 17, 2022, 4:05 PM

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oh wait, you messed up your FOIL

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it needs to be 21

jolly parrotBOT Nov 17, 2022, 4:05 PM

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♡LexQa♡

midnight haven Nov 17, 2022, 4:06 PM

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solve for the x's

steady arch Nov 17, 2022, 4:06 PM

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midnight haven it needs to be 21

oh yeah

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x^2 + 10x = 18

midnight haven Nov 17, 2022, 4:07 PM

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jolly parrot **♡LexQa♡**

45-21 is not 18

steady arch Nov 17, 2022, 4:07 PM

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24

midnight haven Nov 17, 2022, 4:07 PM

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also, keep the constant term on the left side, you want to solve for it here

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anyways

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$x^2+10x-24=0$ is what you have

jolly parrotBOT Nov 17, 2022, 4:08 PM

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♡LexQa♡

midnight haven Nov 17, 2022, 4:08 PM

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what do u think is the best approach?

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to solve this

steady arch Nov 17, 2022, 4:08 PM

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factorisng or quadratic fomrula

midnight haven Nov 17, 2022, 4:08 PM

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yes, lets do the former

steady arch Nov 17, 2022, 4:08 PM

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ok

midnight haven Nov 17, 2022, 4:08 PM

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so actually, we can rewrite 10x as 12x - 2x

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$x^2+12x-2x-24=0$

jolly parrotBOT Nov 17, 2022, 4:09 PM

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♡LexQa♡

steady arch Nov 17, 2022, 4:09 PM

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ye

midnight haven Nov 17, 2022, 4:09 PM

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how should we proceed?

steady arch Nov 17, 2022, 4:09 PM

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take out x from the first bit and 2 from the second bit

midnight haven Nov 17, 2022, 4:09 PM

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yep!

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so you have

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$x(x+12)-2(x+12)=0$ right?

steady arch Nov 17, 2022, 4:10 PM

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ye

jolly parrotBOT Nov 17, 2022, 4:10 PM

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♡LexQa♡

midnight haven Nov 17, 2022, 4:10 PM

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what is the next step?

steady arch Nov 17, 2022, 4:10 PM

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(x+12)(x-2)

midnight haven Nov 17, 2022, 4:10 PM

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yes

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so you have $(x+12)(x-2) = 0$

jolly parrotBOT Nov 17, 2022, 4:10 PM

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♡LexQa♡

midnight haven Nov 17, 2022, 4:10 PM

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what are our solutions

steady arch Nov 17, 2022, 4:10 PM

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-12 and 2

midnight haven Nov 17, 2022, 4:11 PM

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yep

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now, if we use x = -12 we will get a negative area

steady arch Nov 17, 2022, 4:11 PM

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but i can't be minus twelve so has to be 2

midnight haven Nov 17, 2022, 4:11 PM

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which does not make much sense

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yes\

steady arch Nov 17, 2022, 4:11 PM

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tysm bro

midnight haven Nov 17, 2022, 4:11 PM

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you are pretty good, good job

steady arch Nov 17, 2022, 4:11 PM

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will really help

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thanks for the help

midnight haven Nov 17, 2022, 4:12 PM

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ofc

steady arch Nov 17, 2022, 4:15 PM

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How do I close this help thing

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.close

pearl pondBOT Nov 17, 2022, 4:16 PM

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Channel closed

Closed by @steady arch

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pearl pondBOT Nov 17, 2022, 5:45 PM

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midnight haven Nov 17, 2022, 5:46 PM

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Hello, Would this be correct? I think I need to make n a radical but Idk

pearl pondBOT Nov 17, 2022, 5:46 PM

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midnight haven Hello, Would this be correct? I think I need to make n a radical but Idk

hollow cobalt Nov 17, 2022, 5:47 PM

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It's correct

toxic lichen Nov 17, 2022, 5:47 PM

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wdym "make n a radical"?

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yeah this is correct

midnight haven Nov 17, 2022, 5:48 PM

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Would this also be correct?

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@toxic lichen

toxic lichen Nov 17, 2022, 6:00 PM

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appears so, yes.

midnight haven Nov 17, 2022, 6:00 PM

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ty

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.close

pearl pondBOT Nov 17, 2022, 6:00 PM

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Channel closed

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rotund lagoon Nov 17, 2022, 6:13 PM

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Help me how to do that

pearl pondBOT Nov 17, 2022, 6:14 PM

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rotund lagoon Help me how to do that

vivid coyote Nov 17, 2022, 6:15 PM

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what is a, b, x and y in this context

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i assume a and b are some constants

rotund lagoon Nov 17, 2022, 6:15 PM

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vivid coyote i assume a and b are some constants

yes

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Some arbitrary values

hollow cobalt Nov 17, 2022, 6:16 PM

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You don't need to prove that though, generally all of the equations remain true after replacing i with -i

rotund lagoon Nov 17, 2022, 6:16 PM

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and I hope you know what 'i' is

rotund lagoon Nov 17, 2022, 6:17 PM

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hollow cobalt You don't need to prove that though, generally all of the equations remain true ...

Here, I gotta use the first line equation to prove the 2nd line. It is not a function like I can just swap out the inputs

hollow cobalt Nov 17, 2022, 6:17 PM

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I haven't referred to a function anyways

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You can actually take any equation, replace i with -i in it, and it's still true

rotund lagoon Nov 17, 2022, 6:18 PM

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Then how would you going to replace it then?

toxic lichen Nov 17, 2022, 6:19 PM

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rotund lagoon Some arbitrary values

real ones?

rotund lagoon Nov 17, 2022, 6:19 PM

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toxic lichen _real_ ones?

yeah

toxic lichen Nov 17, 2022, 6:19 PM

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right

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in that case you can expand the LHS in both equations

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you will get from the first equation that x = ac - bd and y = ad + bc

rotund lagoon Nov 17, 2022, 6:19 PM

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Ok, I did that

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next?

toxic lichen Nov 17, 2022, 6:20 PM

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you should immediately see that expanding the LHS of the second equation gives you (ac - bd) + (-ad-bc)i

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which is exactly what you want it to be

rotund lagoon Nov 17, 2022, 6:21 PM

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But then how tf I am going to bring it in that RHS form?

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Oh holy sex

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I get it

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thanks @toxic lichen

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.close

pearl pondBOT Nov 17, 2022, 6:23 PM

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Channel closed

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pearl pondBOT Nov 17, 2022, 7:27 PM

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merry stirrup Nov 17, 2022, 7:30 PM

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pearl pondBOT Nov 17, 2022, 7:30 PM

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merry stirrup

merry stirrup Nov 17, 2022, 7:30 PM

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How would I solve this

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Show I use log?

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But it will result in ln (x)

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Which dosent work

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Oh I got it I think I should take whole square

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.close

pearl pondBOT Nov 17, 2022, 7:32 PM

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pearl pondBOT Nov 17, 2022, 8:12 PM

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little bough Nov 17, 2022, 8:16 PM

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Hello i need help in factoring I was answering some examples i found online and i can't understand where they got 2(x+7)(x-4) from 2x^2 + 6x - 56

pearl pondBOT Nov 17, 2022, 8:16 PM

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little bough Hello i need help in factoring I was answering some examples i found online and ...

old marsh Nov 17, 2022, 8:17 PM

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First you can factor out a 2

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2(x^2 + 3x -28)

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Now we can factor the quadratic using ac method. a = 1, c = -28. We want factors of ac that add to b, which is 3. So ac = -28, factors of -28 that add to 3 are 7 and -4. Then we just put x’s and parentheses in front of them and remember the 2 from before and we end up with 2(x+7)(x-4)

little bough Nov 17, 2022, 8:20 PM

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this only works if all numerical coefficients are divisible by the same number right or if it has a gcf?

old marsh Nov 17, 2022, 8:20 PM

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the ac method?

little bough Nov 17, 2022, 8:20 PM

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no like the factoring out the 2

old marsh Nov 17, 2022, 8:21 PM

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Yes, all numerical coefficients must be divisible by the same number or a gcf in order to yield whole number coefficients after factoring out

little bough Nov 17, 2022, 8:22 PM

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alright thanks alot i understand now

old marsh Nov 17, 2022, 8:22 PM

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Np

little bough Nov 17, 2022, 8:22 PM

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.close

pearl pondBOT Nov 17, 2022, 8:22 PM

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Channel closed

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pearl pondBOT Nov 17, 2022, 9:41 PM

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silk vine Nov 17, 2022, 9:48 PM

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!help

pearl pondBOT Nov 17, 2022, 9:48 PM

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silk vine !help

silk vine Nov 17, 2022, 9:50 PM

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This is a question from the Canadian Senior Maths contest

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I brought it home to try attempt it myslef but still have had no luck

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This is a more detailed drawing with units filled in

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rn_image_picker_lib_temp_5f53ad04-4142-4325-acf5-b3496f0eb91d.jpg

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This is what I've been looking at

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and am confident that if I had one more piece of information I could solve it

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any idea

pearl pondBOT Nov 17, 2022, 10:07 PM

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@silk vine Has your question been resolved?

silk vine Nov 17, 2022, 10:10 PM

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<@&286206848099549185>

pearl pondBOT Nov 17, 2022, 10:40 PM

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@silk vine Has your question been resolved?

silk vine Nov 17, 2022, 10:40 PM

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Nope

pearl pondBOT Nov 17, 2022, 11:10 PM

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Channel closed

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sour badger Nov 17, 2022, 11:21 PM

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How do you find the remainder of a very large number, eg 15^123 divided by 176. Using modulo arithmetic?

pearl pondBOT Nov 17, 2022, 11:21 PM

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sour badger How do you find the remainder of a very large number, eg 15^123 divided by 176. ...

sour badger Nov 17, 2022, 11:36 PM

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<@&286206848099549185>

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I'm trying to do this question

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and this is my working out so far

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.close

pearl pondBOT Nov 17, 2022, 11:51 PM

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Channel closed

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midnight haven Nov 18, 2022, 12:38 AM

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Yo

pearl pondBOT Nov 18, 2022, 12:38 AM

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midnight haven Yo

midnight haven Nov 18, 2022, 12:38 AM

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I need help with this one

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What is the weight of a boy with a mass of 50 kg on earth?

plush bramble Nov 18, 2022, 12:39 AM

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what's the formula for weight

midnight haven Nov 18, 2022, 12:39 AM

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"N"

plush bramble Nov 18, 2022, 12:40 AM

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that's N for Newtons

graceful tendon Nov 18, 2022, 12:40 AM

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Isn't it Fg = mg

midnight haven Nov 18, 2022, 12:41 AM

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plush bramble that's N for Newtons

yes

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i guess

graceful tendon Nov 18, 2022, 12:41 AM

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r u solving then for force of gravity

plush bramble Nov 18, 2022, 12:41 AM

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midnight haven yes

so find a formula for weight

midnight haven Nov 18, 2022, 12:41 AM

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graceful tendon r u solving then for force of gravity

physics math something like that

graceful tendon Nov 18, 2022, 12:42 AM

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so Fg = 50 kg * 9.8 (gravity)

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490 N?

midnight haven Nov 18, 2022, 12:42 AM

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I got wrong once

graceful tendon Nov 18, 2022, 12:42 AM

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midnight haven physics math something like that

im in the same unit as you rn lmao

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should just be 490 N

midnight haven Nov 18, 2022, 12:42 AM

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is not fr

graceful tendon Nov 18, 2022, 12:42 AM

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Wait

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well

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is there like an answer key or smth

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how do u know that's wrong

midnight haven Nov 18, 2022, 12:43 AM

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graceful tendon should just be 490 N

i tried this answer like 30 times already

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devastation

plush bramble Nov 18, 2022, 12:43 AM

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,calc 50 * 9.8

jolly parrotBOT Nov 18, 2022, 12:43 AM

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Result:

graceful tendon Nov 18, 2022, 12:43 AM

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Try -490

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Maybe it's -9.8 since it pulls down

random eagle Nov 18, 2022, 12:44 AM

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midnight haven Nov 18, 2022, 12:44 AM

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wait let me just

random eagle Nov 18, 2022, 12:44 AM

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kelp

plush bramble Nov 18, 2022, 12:44 AM

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random eagle

this channel's occupied. stop spamming

random eagle Nov 18, 2022, 12:44 AM

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that’s not spam but okay 💀

midnight haven Nov 18, 2022, 12:44 AM

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lmao

graceful tendon Nov 18, 2022, 12:44 AM

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swift open up a channel I can help you

midnight haven Nov 18, 2022, 12:44 AM

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bro just spawned

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plush bramble Nov 18, 2022, 12:45 AM

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plush bramble ,calc 50 * 9.8

replace this with 9.81

midnight haven Nov 18, 2022, 12:45 AM

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for the answer?

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NervousSweat

graceful tendon Nov 18, 2022, 12:47 AM

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,calc 50 *9.81

jolly parrotBOT Nov 18, 2022, 12:47 AM

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Result:

490.5

graceful tendon Nov 18, 2022, 12:47 AM

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Try 490.5

midnight haven Nov 18, 2022, 12:47 AM

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ok

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is like my last try

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🙏 _ _

graceful tendon Nov 18, 2022, 12:47 AM

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if its not that try negative

midnight haven Nov 18, 2022, 12:47 AM

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omg thank you so much

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it worked

graceful tendon Nov 18, 2022, 12:48 AM

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sick

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pls for the love of god answer mine im so dead for tmr

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how does the transformation work

midnight haven Nov 18, 2022, 12:48 AM

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i dunno how to explain

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srry

graceful tendon Nov 18, 2022, 12:49 AM

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j tell me if its one or the other