#help-0

1 messages · Page 762 of 1

vale wigeon
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answer the leading question i asked you

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.

reef geyser
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opposite and adjacent

vale wigeon
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that's right.

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what is the opposite side in our case?

reef geyser
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x?

vale wigeon
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no

fresh bolt
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its 16

vale wigeon
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x is the hypotenuse

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@fresh bolt was not asking you and would appreciate you not interrupting

reef geyser
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so it’s the unlabelled side ?

vale wigeon
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no

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the unlabeled side is the adjacent

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16 is the opposite

reef geyser
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OHH

vale wigeon
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@haughty holly i see you typing. this channel is busy, please move.

haughty holly
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... ok

vale wigeon
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@reef geyser so with this in mind, would you be able to find the adjacent side?

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i.e. the unlabeled one at the bottom

reef geyser
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yes

vale wigeon
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okay, do it and tell me what you get

reef geyser
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so that side is 12 ??

vale wigeon
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yes that side is 12

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now you have both legs

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do you know how to find the hypotenuse?

reef geyser
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so then i just use the Pythagorus theorem right

vale wigeon
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yes, the Pythagorean theorem is exactly what i was hinting at

reef geyser
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so the final is 20 ???

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THANK U SMMM

vale wigeon
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yes

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can i see part b again?

reef geyser
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sure do i resend it?

vale wigeon
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yes, as i just asked you

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i'm having a weird feeling about it

reef geyser
vale wigeon
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it sounds like there isn't enough info to find y

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yeah, no, there isn't. this question is messed up

tulip pier
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You have enough info

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Tan of x gives you what you need

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After that it is just applying pythagoras theorems to figure out y

cinder falcon
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free channel?

vale wigeon
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@tulip pier please enlighten me as to how you will use the value of tan(x) when you know none of the side lengths of ABC

tulip pier
tulip pier
vale wigeon
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referring to the diagram, tan(x) = CB/AB

tulip pier
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CB = 10 amd AB=24

vale wigeon
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what's your point?

tulip pier
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then you get 60-24 to get BC

autumn forge
#

how to do 73? i thoguht the formula for difference quotient was (f(x+h) -f(x))/h not (f(2+h) - f(x))/h

vale wigeon
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@autumn forge channel busy please move

autumn forge
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alright my bad

vale wigeon
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@tulip pier where are you getting it from that AB = 24?

tulip pier
vale wigeon
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nobody said that CB had to be 10 and AB had to be 24

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a/b = c/d does not imply that a=c and b=d

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why couldn't we have CB=5 and AB=12 instead?

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or maybe even CB = 2.5 and AB = 6?

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or any other combination that gives the same ratio?

tulip pier
vale wigeon
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CB/AB = 10/24 does not imply CB=10

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if CB were 5 and AB were 12 you would also have CB/AB = 10/24

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you cannot say that CB = 10

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and you cannot say that AB = 24

tulip pier
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because the fraction within a trig function can be manipulated to get triangles of different sizes

vale wigeon
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no, the question gives you tan(x) = 10/24 and nothing else

tulip pier
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and the question gives us that specific triangle size with those number

vale wigeon
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10/24 and 5/12 are the same fraction

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the way it's written cannot and should not be relied upon like you're trying to insist

tulip pier
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draw me a 10/24 and a 5/12

vale wigeon
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if they wanted to give you either CB or AB directly then they should've given you CB or AB diesctly

tulip pier
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are they the same triangle?

vale wigeon
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they aren't, so what? the angle in them would still be the same

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and the angle is all we're given

tulip pier
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the angle has also given us the ratio

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which is 10/24

vale wigeon
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yes, the ratio

tulip pier
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so that is the lengths we use

vale wigeon
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all we know is the ratio

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no

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nothing in the question says that AB = 24

tulip pier
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the tan(x) = 10/24 says it is

vale wigeon
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no it doesn't

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by that logic look at part a of the same blasted question

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we're told tan(θ) = 4/3 but the opposite side is not 4 but 16

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according to you writing tan(θ) as 4/3 would somehow be wrong and it shouldve been 16/12 instead

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you're insistent on completely ignoring the fact that the fractions 10/24 and 5/12 are ONE AND THE BLOODY SAME

tulip pier
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bruhhhhhhh

vale wigeon
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they arent different as you keep trying to claim they are.

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AB isn't 24. we CANNOT conclude that AB is 24.

tulip pier
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if your talking about a triangle ratio it is

vale wigeon
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no it fucking isn't

tulip pier
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WE can conclude because that is what the question tells us

vale wigeon
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you don't suddenly get to treat two equivalent fractions as different just because we're talking about triangles

tulip pier
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well ok how are you gonna do the question then?

vale wigeon
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that's not how things work in math

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i've already made myself clear: there is not enough info to do the question

tulip pier
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IT IS A TRIGNOMETRIC FUNCTION

vale wigeon
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SO WHAT IF IT'S A TRIGONOMETRIC FUNCTION

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THAT DOESN'T MAKE ANY BLASTED DIFFERENCE

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if AB were 12 and BC were 5 we would have the EXACT SAME value for tan(x)

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the EXACT

tulip pier
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SO IT THE THE RATIO OF THE TRIANGLE THE MAKES IT UP

vale wigeon
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FUCKING

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SAME

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JUST BECAUSE IT'S WRITTEN AS 10/24 AND NOT 5/12

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MEANS

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JACK

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FUCKING

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SHIT

warped phoenix
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um

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i dont mean to interrupt

vale wigeon
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IT DOESN'T MEAN ANYTHING, AND YOU CANNOT DERIVE ANYTHING FROM IT

tulip pier
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bruhh this guy

vale wigeon
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i beg your pardon?

warped phoenix
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but i would like some assistance in channel q1 when u guys are done, take ur time ofc, ty

vale wigeon
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"this guy"?

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who was that referring to

fresh bolt
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guy hjahah

cinder falcon
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lol

fresh bolt
tulip pier
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the question gives tan = 10/24 and he says the lengths could be 5 and 12

vale wigeon
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i'm not a he

fresh bolt
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he

warped phoenix
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this guy is pretty common

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i dont think he meant it

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with

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gender

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weighed to it

vale wigeon
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duck just called me he

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@tulip pier i'm a she, just so you know.

warped phoenix
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well even if you're talking with a girl i dont usually hear "this gal"

tulip pier
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well idk what you are from your profile pic through discord lol

cinder falcon
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their status

tulip pier
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i am sorry this person

vale wigeon
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my about me literally has my pronouns in it

warped phoenix
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maybe hes not reading your about me catshrug

vale wigeon
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you have no excuse

fresh bolt
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girl + girl = guy

tulip pier
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well tanx = 10/24 means that opposite is 10 and adjacent is 24 you can ask someone

warped phoenix
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(can someone please help me in q1 😄 )

fresh bolt
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math

vale wigeon
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no it doesn't

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no it bloody doesn't, duck

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by your logic

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in part 10a

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tan(θ) = 4/3

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would mean the opposite is 4 and the adjacent is 3

fresh bolt
vale wigeon
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which would directly contradict what's actually stated in the question

tulip pier
warped phoenix
vale wigeon
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this is different

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here you KNOW the sides

warped phoenix
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its quick anyway

vale wigeon
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and get tan(x) from it

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you're trying to go the other way

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which cannot be done

tulip pier
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omg

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they label that in

vale wigeon
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AND you're misgendering me, which is unrelated but something i take issue with nonetheless.

tulip pier
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well i am sorry i did not click on a profile of a user i have never talked too until today m'lady

vale wigeon
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one would think Ann would strike you as a feminine name

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but whatever

tulip pier
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ok so have you learnt about sin(pi/3) and stuff like that?

vale wigeon
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yes obviously

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who do you take me for, some kind of middle-schooler?

fresh bolt
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ann sounds like name from vietnam

tulip pier
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what is sin(pi/3) in it's exact form?

vale wigeon
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sin(pi/3) = sqrt(3)/2. what's your point?

tulip pier
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why is it not 2sqrt(3)/4

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or increments of that

vale wigeon
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you could write it as 2sqrt(3)/4 too.

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you could write it as 42069sqrt(3)/84138 if you so desired

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it's the same value, just written differently

tulip pier
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but the are different triangle correct?

vale wigeon
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what are you talking about?

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you didn't bring up any triangles.

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all you asked me for was the sine of pi/3, or 60 degrees

tulip pier
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so within that question would a tanx=30/72 triangle fit in?

vale wigeon
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"tanx=30/72" what

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what's a "tanx=30/72 triangle"?

tulip pier
vale wigeon
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if you mean a triangle whose legs are 30 and 72 then you should say "a triangle whose legs are 30 and 72"

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this triangle would have the same angle A as the ABC in the diagram

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and due to other things in the diagram, 72 is too large to be the size of AB

tulip pier
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yeah so it cant be that right so it has to be a specific triangle

vale wigeon
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no it doesn't.

tulip pier
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it has to be only a slect few to fit the question

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yes????

vale wigeon
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no

tulip pier
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it cant be too big

vale wigeon
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there are infinitely many possibilities

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and nobody said any of the lengths had to be whole numbers either

tulip pier
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your looking way too much into this

vale wigeon
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we could have its legs be 9.23774 and 22.170576

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i am not looking too much into this

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i'm just trying to dispel a misconception you're having

tulip pier
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if i told you to draw a sin(x) = 1/2 what would you draw?

vale wigeon
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i would ask you to clarify what you're talking about

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do you mean a triangle with an angle x such that sin(x) = 1/2?

tulip pier
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that is the question worth 1 mark

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if you cant do it you get 0

vale wigeon
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do you mean a triangle with an angle x such that sin(x) = 1/2?

tulip pier
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the question is draw sin(x)=1/2 that is it

vale wigeon
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that's it, just "Draw sin(x) = 1/2" no further words or instructions?

tulip pier
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yeah that is it

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worth 1 mark

vale wigeon
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then i'm going to draw the equation sin(x) = 1/2

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maybe make it pretty

fathom pulsar
#

hey can somebody suggest a chemistry related server regarding doubts,discussion etc.

vale wigeon
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if that isn't what you meant then too bad so sad

tulip pier
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ok cool you got 0 for the question

vale wigeon
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and?

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i don't see your point

alpine sable
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Can someone look over this, I have looked at it so many times and nothing seems to be wrong from it. I need to figure this out for my project.

tulip pier
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i am done maybe someone else can explain it in a way you understand

fringe yoke
#

Do you not understand that trig functions are ratios?

vale wigeon
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do you mean that it's somehow my fault that i couldn't understand what your 'question' wanted me to do from deliberately vague wording?

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is that what you're saying? @tulip pier

tulip pier
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solve this however you like

vale wigeon
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i've said it before and i'll say it again

tulip pier
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if you think it is unsolveable you get a fat 0 in a test

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good luck

vale wigeon
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tests can be, and often are, flawed

fringe yoke
#

Duck be nice

vale wigeon
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your refusal to acknowledge that is concerning

tulip pier
vale wigeon
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oh, so you're a grade-chaser.

tulip pier
vale wigeon
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you don't actually give two shits about the math, all you care about is playing this fucking game of telephone with your teacher.

sly mantle
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for the record, to ‘draw sin(x)=1/2’ is to draw the vertical lines at values of x satisfying sin(x)=1/2

vale wigeon
#

you mean like for a graph of y=sin(x)?

lethal spoke
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Hey @tulip pier

sly mantle
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now this convo has been going nowhere for the past 10min and i see no reason to keep it up

tulip pier
lethal spoke
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Just invited you to a discord where they actually help and not insult people who are asking questions

sly mantle
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i’m convinced the prior question is unanswerable until more relevant details are given, and let’s leave it alone

vale wigeon
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are you saying i insulted duck

lethal spoke
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Yes i am LD

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😄

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Dont be rude and just help people

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Swearing at them isnt assistance

vale wigeon
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duck isn't even the OP lol

lethal spoke
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Ok and? is swearing ever useful

sly mantle
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let’s all move on from this convo

lethal spoke
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You arent the smartest in the room

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But fine

vale wigeon
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and you cannot and will not tell me when i can and can't say fuck

tulip pier
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Look lets just put it behind you get 0 on the test and i get the mark cause i have complete the question

sly mantle
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sigh

vale wigeon
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what the fuck

sly mantle
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b&

vale wigeon
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thank you roketto

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also ty for not immediately deleting their msgs so i could more easily block them

tulip pier
cinder falcon
#

,rotate

ocean sealBOT
tulip pier
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I found the first point that the graph is above 3.2 but I can't get the other point

clever folio
#

For sin(t * pi/6)=2/7 if you let u=t * pi/6 do you see how on the unit circle there are two values for u that make sinu=2/7 in the interval 0 to 2pi?

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And then every other angle u that satisfies sinu=2/7 is just one of those two angles plus 2kpi for k an integer?

tulip pier
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how do you get the 2 values?

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wait i am so dumb

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omgggggg

clever folio
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It helps if you look at a unit circle to see intuitively I guess.

tulip pier
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sine is postive in the 1st and 4th

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omg i am so dumb

clever folio
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But any sine value greater than 0 has two angles that produce it in the unit circle.

tulip pier
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can you post this in another channel please?

clever folio
#

I did not really look at your work besides that Duck. I just noticed ur trying to solve an eqn of the form sin(ax)=b which can be figured out in terms of the unit circle like I mentioned.

tulip pier
tulip pier
round gulch
#

I just send my work and they helped me

clever folio
#

It's more of a courteousy thing.

round gulch
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should I be doing something else?

clever folio
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Since duck already asked a question

round gulch
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Oh

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K

clever folio
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For ur sisters thing mixed fraction notation is sorta misleading

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It's shorthand for adding rather than multiplying

tulip pier
clever folio
#

So y=sin(ax) gives the height right?

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(a=pi/6)

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Well I guess y=3+0.6sin(t * pi/6) does

tulip pier
#

yeah the y is the depth of the wave at a point in the day

clever folio
#

Okay so the solns of this eqn for a constant y=3.2 tell you when the wave rises above and below 3.2

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So don't those solns tell you exactly the times the waves are above 3.2 meters?

warped phoenix
#

is this channel still in use

tulip pier
warped phoenix
#

did i do this right?

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for the sample standard deviation i took the square root of the given variance

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sqrt(17.6) = 4.20 and sqrt(10.93) = 3.31

tulip pier
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what was n?

warped phoenix
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heres the full thinbg

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i just put n as 20

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because there were 20 petri dishes

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it may need to be 10 though

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i wasnt sure on that

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what do you think?

tulip pier
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pre sure it is 10 as this would be a form of bivariate data

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as the dark is getting calculated seperately

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so it would be standard error: 1.328

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and 1.047

warped phoenix
#

so then

tight locust
#

OHHH OK

warped phoenix
#

do you know what id be doing for this?

warped phoenix
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the left one is SE

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so for the dark, the SE is 1.33

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would i just draw a line going from the top of the dark bar down to 1.33?

tulip pier
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yeah

short flare
#

Can any1 help me with d(i)

alpine sable
#

what does LS and RS mean

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im confusion

sage bronze
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Left side

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and Right side

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i would assume

alpine sable
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WOWW IM SO STUPID 😭😭

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ty for clarifying 😭

dreamy bone
#

Hey! I was just wondering like what's the difference between polar form and modulus argument form?

sly mantle
#

in polar/exponential/phasor form
$$r\cis(t)=re^{it}=\ph rt$$

ocean sealBOT
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Dreadful Encore of Twisted Karma

wheat acorn
#

hellol

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I am struggling here

reef dust
wheat acorn
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ok so

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I saw that

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but I think I need to convert from spherical coordinates or cylindrical

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I'm not sure which I need to convert from?

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and I also don't know how 3 dimensions changes this

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and I also don't know how the point given changes this

somber osprey
#

how to be smart

wheat acorn
#

?

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can someone help me out it's past midnight

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I'm starting to not be able to think straight I just need a little nudge

dreamy bone
wheat acorn
#

@reef dust hey if you're still here I still need help

alpine sable
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can anyone tell me how to do this

wheat acorn
#

the question I posted above

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I'm not sure what to do and I don't really know how to handle the at point P part of the question

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so I'm sort of lost

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I keep trying to do the dot product in different ways but I keep getting weird answers

deft python
#

How do you describe a linear equation in your own words?

clever folio
placid zinc
#

Well, I start to speak. I have to use my knowledge from high school

clever folio
#

I guess you can always say "the line from this pt to that pt"

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Or "the line through this pt with slope <blah>"

placid zinc
#

I make sure to reflect on what I'm saying in case I am saying something wrong, as linear equations are a very specific thing

fresh bolt
#

straight line graph?

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directly proportional?

deft python
clever folio
#

There's a couple common forms of a line. Slope intercept is one and another gives you the equation of a line given one point and the slope.

deft python
#

Ty btw

clever folio
#

I forgot the second one also needs the slope.

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Slope intercept and point slope are the names of the things I'm explaining poorly.

deft python
#

Okii ty sir!!

snow nest
#

can someone explain this to me

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so far i've always expanded then used dy/dx

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is this method faster?

rigid smelt
#

lmao did they just write d/dx *x -1 to represent the derivative of (x-1)

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but anyway, they used the product rule

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say you have a product of two functions f(x) and g(x), the derivative of f(x)g(x) is f**'(x)g(x) + f(x)g'**(x)

snow nest
#

so dy/dx of (x-1) = 1
1(x+2) = (x+2)
dy/dx of (x+2) = 1
1(x-1) = (x-1)
x+2+x-1 = 2x + 1

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so my main question is: would this be faster then simply expanding and using dy/dx?

lusty ibex
#

just use y'

rigid smelt
#

well "faster" kind of depends here, if you feel like you can expand (x-1)(x+2) faster than just do that

lusty ibex
#

instead of dy/dx bc dy/dx is normally on differential equations

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or rates

rigid smelt
#

if you feel like you can not expand (x-1)(x+2) very quickly then use the product rule

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either way, you would still end up with the same answer and the marker will not care at all

snow nest
#

i'm used to dy/dx and it's been shown on my textbook, so i'm going to use dy/dx
also i'll expand it's faster for me

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also I have a somewhat dumb question

ocean sealBOT
snow nest
#

say i had this term $\frac{x^3}{y^2}$

ocean sealBOT
#

Slime_Bob

snow nest
#

okay i'll do that

snow nest
#

would it be x^3y^-2

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right?

lusty ibex
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yea

rigid smelt
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yes

snow nest
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okay thanks just making sure

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for some reason i thought it was x^3 + y^-2

lusty ibex
#

btw why not just expand and diffrentiate

snow nest
#

i was planning to

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but i just wanted to see what this other method was

lusty ibex
#

i mean product rule is normally used for something like xsinx

snow nest
#

yeah we haven't learn that stuff yet

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currently having an antidiff and diff SAC

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wait

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are SACs an australia only thing

lusty ibex
#

no bro ur capping

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its atar

snow nest
#

yeah but your atar is calculated using your study score

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which is calculated from SACs and other stuff

lusty ibex
#

wait hsc i ment

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whats sac?

snow nest
#

oh is hsc a NSW thing

lusty ibex
#

oh yea i forgot that our country is alittle stupid and like to call it different stuff

snow nest
#

in VIC, it's like this
SACs (School Assesed Coursework) goes towards study score, which goes towards your SAC

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which country?

lusty ibex
#

wait wait what about the vce then

snow nest
#

you can only get SACs in VCE subjects

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man it's hard to understand and even harder to explain

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like my god i spent at least 6 hours trying to understand it
and i still don't get it thaaat much

fluid mica
#

Hi there does anyone know how to do this?

Find all the complex solutions to z^4 + a^4 = 0, where z ∈ C, a ∈ R, a > 0,
and illustrate them in the complex plane.

grave hinge
#

Hello everyone!
Why do we define basis of vector-space and span of vectors?
Can someone help me see the actual picture!

main zephyr
#

lets say that 20 apples are distributed to 4 children, each children has at least 5 apples, whats the most amount of apples a children can have?

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this is primary school level math but i havent done it in a while so i forgot akko_lewd

grave hinge
#

Since each child must get at least 5 apples, hence most apples any child can get is 5

main zephyr
#

oh i see

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i kinda understand yet i kinda dont

grave hinge
#

Okay let's try again
draw 20 lines representing 20 apples. Since each child must get atleast 5 apples, so cross out 5 lines for each child(because lines are apples now), how many lines remain now?

main zephyr
#

i think i understand now

vale wigeon
#

if everyone gets the bare minimum of 5 you already run out of apples to give

vale wigeon
#

maybe i could motivate the ideas of basis and span based on that, if you have

main zephyr
#

i dont know if the problem is with the answer or what but heres the question:

"the remaining number of 4 divided numbers is 33, each number is not less than 28, whats the biggest number among the 4" (i translated this from chinese lol sorry if something isnt spelled right)

heres my working:

33 * 4 = 132 (max number)
28 * 4 = 112 (minimum number)
132 - 112 = 20
28 + 20 = 48 (max value a number can have)

but the answers does not have a 48 among them

vale wigeon
#

i think something was lost in translation here...

main zephyr
#

well i'll use algebra to show u the question:

n / n / n / n = 33

"the value of each n is not less than 28, whats the possible biggest value n can have"

vale wigeon
#

is this (n/n)/(n/n)

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or ((n/n)/n)/n

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or what

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also maybe don't use the same symbol for different things

main zephyr
#

i am lost in translation

#

well the result of the devision of 4 n is 33

grave hinge
vale wigeon
#

sorry potsu i have no idea what you're talking about

main zephyr
#

wait no

#

wait im confused

grave hinge
main zephyr
#

"the average number of 4 numbers is 33, each number cannot be lower than 28, what is the maximum value a number can have"

vale wigeon
#

oh AVERAGE!

main zephyr
#

this is what ive done so far

33 * 4 = 132 (max number)
28 * 4 = 112 (minimum number)
132 - 112 = 20
28 + 20 = 48 (max value a number can have)
vale wigeon
#

so it's (a+b+c+d)/4 = 33

main zephyr
#

yes

vale wigeon
#

48 seems to be the right answer...

main zephyr
#

yea...

steep hearth
#

-mode is the number repeated most often
example 10,10,11,12,13
mode =10

what if no repeated number?

vale wigeon
#

then there is no mode

stuck jolt
vale wigeon
#

or if you want, every number present is a mode

stuck jolt
vale wigeon
#

don't reply-ping me twice in a row please

stuck jolt
#

Sorry, I was just correcting smth...

grave hinge
#

@cursive bloom Are you familiar with coulomb's law!

#

Wonderful!

Also, ask yourself, how would you calculate forces if the charges are present in different media

alpine sable
#

merci.

mortal void
#

is this free right now?

#

i got a riddle asking

#

the product of two successive odd number is 35! and using variables and operation symbols prove it

stuck jolt
#

What I would do here

mortal void
uncut tapir
#

Well we know right off the bat the factors of 35! by definition of the factorial

stuck jolt
#

Is direct proof

#

Woah this took a while to send

#

You know an odd number can be generalised as 2n-1 or 2n+1

mortal void
#

yes but i forgot

stuck jolt
uncut tapir
#

Yes. The bigger factors would have to equal 2n+1

mortal void
#

i learnt it on arithmetic progression

uncut tapir
#

I don't see how this can work though. An even number times an odd number is always odd right? And an odd number times another odd number is always odd too

#

Multiplying two odd numbers would require 35! to be an odd number. But this is impossible since 2 is a factor

vale wigeon
mortal void
vale wigeon
#

as-is, it is impossible to multiply two odd numbers - let alone two consecutive odd numbers - and get 35 factorial.

uncut tapir
#

If it was just 35 alone, it would be 7 and 5

mortal void
#

Using variables and operation symbols, express each of the following verbal statements as algebraic statement:
now question- The product of two successive odd number is 35*

mortal void
uncut tapir
#

That's also impossible, 11 is prime

vale wigeon
#

so we're just translating statements into symbols, without regard for whether the statement itself is true or false.

#

am i understanding this correctly?

stuck jolt
vale wigeon
#

then perhaps "the product of two consecutive odd numbers is 11" would be (2n+1)(2n+3) = 11

mortal void
vale wigeon
#

just z(z+2)? not z(z+2) = 11?

stuck jolt
#

They just want

#

You to generalise it

#

That makes sense

mortal void
vale wigeon
#

...

stuck jolt
vale wigeon
#

why did you say "eleven" when you meant 35

stuck jolt
#

Bruh

mortal void
#

lol i made a mistake

uncut tapir
#

Well the same strategy holds. Write down all factor pairs of 35 and find the one where they are two consecutive odd numbers

vale wigeon
#

gaunter

#

that wasn't the question

#

if eive d is to be taken at their word, all we need to do is write down the statement symbolically

vale wigeon
#

i'll be honest

#

there are many ways to translate your statement into symbols

#

any exercise that insists or implies that there is one and only one correct translation is a bad exercise

uncut tapir
#

I prefer the (2n-1)(2n+1) personally

stuck jolt
#

Same, it's cleaner

uncut tapir
#

Nice difference of two squares equation

vale wigeon
#

sure, that's entirely possible

mortal void
vale wigeon
#

...........

mortal void
#

lol i thought that guy is bowing down

#

and he has rolled his notebook on hands

vale wigeon
#

the sticker is literally named "spivak smelling his shoe" but ok

alpine sable
#

If the determinant is 0, is the area of ​​a transverse vector a and vector a 0 when it's a parallelogram and 0 if it's a triangle as well?

glass lichen
#

vectors dont have area also

alpine sable
#

i mean you can draw a parallelogram if you have two vectors

glass lichen
#

yes

#

but that's not the same as "this vector has an area"

alpine sable
#

will the area of that parallelogram the 2 vectors form be 0 if the determinant is 0

glass lichen
#

yes

alpine sable
glass lichen
#

cause the operator defined by the 2x2 matrix will squish the plane into a line or the 0 vector

stuck jolt
alpine sable
#

will it just be 2 zero vectors then?

glass lichen
glass lichen
alpine sable
#

Okay

glass lichen
#

you can have non-zero 2x2's with det 0

alpine sable
#

can you try drawing what will happen if det(vectorA, vectorB)=0

stuck jolt
glass lichen
#

The 2 vectors forming the parallelogram will map to the same line in R^2 for example

alpine sable
#

i think i know what you mean now

autumn nacelle
#

U guys seem smart, I like ur energy

alpine sable
#

*mosh smart

glass lichen
#

$\begin{bmatrix}1&2\2&4\end{bmatrix}$ has det 0, and geometrically the column vectors are both in the span of $[1,2]^T$

ocean sealBOT
stuck jolt
autumn nacelle
#

Tried doing math wanted to get good at it but just cant hahaha

#

why I appreciate the energy

#

Im better at using my body than brain

#

Cya all, keep working hard and u will change the world 100%

vague coral
#

weird flex but ok catThink

alpine sable
#

this?

#

there are two (one of them cannot be seen though) btw

glass lichen
#

Yes, both vectors lie on that line segment

#

so the parallelogram they form has to have area 0

#

since a line has area 0

alpine sable
#

yeah okay got it

mystic sinew
#

how do you decide what are the "possible factors" of a polynomial

vague coral
#

?

mystic sinew
jagged imp
#

rational root theorem is what it wants you to use

vague coral
#

or you take +1 or -1 and plug in p(x) and see if you get 0

ebon finch
#

How do we prove that$\ \sum_{n=1}^{\infty}\frac{1}{nx^n}=\ln\left(\frac{x}{x-1}\right)?\ $
Where $x\in\mathbb{R}-(-1, 1]$.

ocean sealBOT
#

VardhanR

vale wigeon
#

integrate a suitably formed geometric series perhaps?

alpine sable
#

I'm looking for help for a price calculation where the price increases more heavily the higher the input number gets.

For example, some formula that allows me to input numbers between 20-35 that returns an increasing value the closer we get to 35.

20 = $75,000 ($3,750 each)

25 = $150,000 ($6,000 each)

26 = $175,000 ($6,730 each)

35 = $350,000 ($10,000 each)

ocean sealBOT
zinc fjord
#

I wanna die

a + a + b + b + a − b − a + b − b = __a + __b

#

ignore the end with the underscore

#

,help

I wanna die

a + a + b + b + a − b − a + b − b = a + b
ignore the end with the underscore

ocean sealBOT
#

Command `I wanna die

a + a + b + b + a − b − a + b − b = a + b
ignore the end with the underscorenot found! Use the,list` command without arguments to see a list of commands.

zinc fjord
#

,help a + a + b + b + a − b − a + b − b

ocean sealBOT
#

Command a + a + b + b + a − b − a + b − b not found!
Use the ,list command without arguments to see a list of commands.

strange owl
#

so im trying to find the best algo to find this pattern 1111 41 1411 111421 it counts how many of each number are there, i.e. 4 times 1 so 41
i know this has a name and i'd love if someone tells me the name of the algorithm, thanks in advance!

prime badge
#

it's run length encoding

#

it's not like, an algorithm, there's no trick

robust palm
#

,list

ocean sealBOT
#
My commands!

Use ,ls to obtain a briefer listing, and use ,help <cmd>to view detailed help for a particular command, or ,help to view general help.

If you still have questions, talk to our friendly support team here.

LaTeX Rendering

Render LaTeX code and configure rendering options.
​ ​ ​ ​ ​ ​ ​ ​ ​ ​ tex: Render LaTeX code.
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alpine sable
#

How do I find the LCF of 4, 9, 16, 25 and 36?

#

LCF means least common factor

#

I know to prime factor those numbers, but then I dont know what to do with it.

#

Like 4 = 2 * 2

#

9 = 3 * 3 and 16 = 2 * 2 * 2 * 2 and so on.

prime badge
#

for each prime, you take the largest amount

#

2, you find the number with most twos, and take that many

#

and so on

alpine sable
#

2^4 * 3^2 * 5*2?

prime badge
#

yes, that

#

wait, divisor

#

no, it's the opposite

#

you look for the least amount, and take that many

#

if it has none, that counts, you take 0

#

no what

#

"least common factor" is neither

#

it's just always 1

#

it probably doesn;t mean least common factor

vestal oriole
#

occupied?

prime badge
#

no

vestal oriole
#

Can I get some help on this

edgy breach
#

2nd differential

prime badge
#

yeah, just that thing twice

vestal oriole
#

wdym

glass lichen
#

differentiate twice

edgy breach
#

^

vestal oriole
#

oh

#

ok

edgy breach
#

u think

#

time is in seconds, displacement is in metres

vestal oriole
#

im dumb, how do I differenciate dractions?

edgy breach
#

use ur textbook

#

its a bit long-winded to explain it on here

#

this is something you should've learnt throughout the year

#

there are some very good, very simple videos online. Try TLMaths on yt

vestal oriole
#

x = 2t

#

?

prime badge
#

it's (1/20) × t

#

first derivative is 1/20

#

second is 0

glass lichen
#

no

edgy breach
prime badge
#

yeah no

glass lichen
prime badge
#

it's upside down

edgy breach
#

lol

glass lichen
#

$\frac{1}{t}=t^{-1}$

ocean sealBOT
glass lichen
#

@vestal oriole

vestal oriole
#

o

#

what happened to the 20?

prime badge
#

it's 20 × t^-1

glass lichen
#

It's called not doing every step for you

#

aka a hint

vestal oriole
#

oo

edgy breach
#

So, I'm going back through some random stuff from first year of ALevel maths, and Im going over the cast diagram. I can easily use it to find values for theta. Eg sin(x) = 1/2 find x, etc

#

but I'm finding it difficult to find values for sinx, tanx, cosx

#

eg work out the value of tan135 using the cast diagram

#

any tips lol

glass lichen
#

what quadrant is 135 in?

stuck jolt
#

hmmmm

edgy breach
#

or the sin quadrant

glass lichen
#

Yes, so tan is what in the 2nd quadrant?

edgy breach
#

negative

glass lichen
#

ok, and your reference angle is 45, so it's -tan(45)=-1

edgy breach
#

why is my reference angle 45 though?

glass lichen
#

cause... what else would it be?

#

135=180-45, so it's 45

edgy breach
#

omg, so i confused myself. I got -1 before, but then I tried the same method on tan120

#

and then double checked it on my calc and it was wrong

#

my calc was in radians 🤣

glass lichen
#

ok

edgy breach
#

thanks for your help

rose geode
#

is this full

edgy breach
#

u can use it now

rose geode
#

ok i need help on some trigonometry i’m in geometry but they are giving me this

edgy breach
#

what year/grade are u in

rose geode
#

going into 11th but i’m finishing some 10th grad geometry

edgy breach
#

ok ye makes sense

#

ok

#

so this is relatively simple stuff once u get the hang of it

#

have u used SoH CaH ToA before? @rose geode

rose geode
#

not really i have this chart from my dads of books

#

dads old book

edgy breach
#

where do you live?

#

do u not have calculators in ur exams now ?

#

@rose geode

rose geode
#

it’s not an exam it an online academy

edgy breach
#

ok

#

but are you allowed to use calculators

rose geode
#

yea

edgy breach
#

ok

#

well then we can say bye bye to that chart lol

rose geode
#

ok

edgy breach
#

1 second, im going to write some stuff down and post it to show u

#

@rose geode

#

u need to learn the theory to be able to do the question

#

if this isnt helpful just search "Soh cah toa" on yt

#

if u want me to keep helping lmk

hollow pelican
#

hi guys does anyone know how to solve this

rose geode
#

@edgy breach ok so how would i solve the problem

#

sorry yoda room full

edgy breach
#

ok so out of the opposite, the adjacent, and the hypotenuse, which 2 sides on there do you have values for? @rose geode

rose geode
#

@edgy breach opposite and adjacent

edgy breach
#

yup

#

so which equation involves those 2 sides?

rose geode
#

tan so i would divide them

edgy breach
#

so tanx = 8/10, yes, but then u are not done

#

so tanx = 0.8

#

now, which calculator do u have?

mystic inlet
#

i haven't clicked on this server in 6 months

#

ok no 3 months

rose geode
#

@edgy breach the standard one on my iphone and desmos

edgy breach
#

Ok, here's a tip: buy a calculator lol

#

But we can still work with that

mystic inlet
#

Imagine not using PhotoMath™

rose geode
#

i have that but it doesn’t work for trigonometry

glass lichen
edgy breach
#

Imagine not having a casio fx cg50 smh

hollow pelican
#

ikr

edgy breach
rose geode
#

@edgy breach ok

edgy breach
#

press on where it says function

#

now press the arctan button

rose geode
#

ok

edgy breach
#

so to the nearest tenth it's 38.7

#

degrees

#

then when u have another question like that

#

you just need to relabel the different parts of the triangle

#

so if you have to find y next

#

u will need to change which side is the opposite and which is the adjacent

#

then work it out from there

#

using the info I gave you in the picture

rose geode
#

ok thank you have a good day

hollow pelican
#

how to solve this qn?

edgy breach
#

you2

edgy breach
hollow pelican
edgy breach
restive locust
#

<@&286206848099549185> \

#

how would i put this in quadratic form

wary stream
restive locust
#

ok

alpine sable
#

hi

#

okay so

#

@restive locust are you there?

restive locust
#

Yea

#

The topic was quadratics and parabolas but I just wasn’t sure how this would go into the form of it

#

I tried a bunch of different things but it all didn’t really make sense

dusky bluff
#

@restive locust the basic idea of the problem is to form two equations in two variables and solve it.

restive locust
#

Huh

#

Could you give me an example

spice adder
#

hi all

dusky bluff
#

@restive locust For first equation use speed distance formula, with variable time t, constant speed v and distance 108. For second equation add 2 in speed and subtract 9/2 hrs. Then solve the both equations.

latent iron
#

A phone number is built of 5 numbers. The last number is 6 and all number are equal to 0. Each number is bigger than the one beforehand
Find the number of options available for phone nukbers

restive locust
#

Oh right. That actually makes me feel so stupid because the topic wasn’t about speed I completely forgot I could use speed / distance

#

I’m so tunnel visioned lmao this gives me some insight to handle future questions thanks @dusky bluff

latent iron
dusky bluff
#

@latent iron Are you clear about you problem. I have difficult understanding it." all numbers are equal to 0" statement.

latent iron
#

All digits in the phone number are not equal to zero

#

1 through 9

#

They are actually 1 to 6 since the last number is 6

#

But that's a question given on a limited time exam and I wondered if there is a fast way to solve it

native temple
#

hey What dies intercepting mean in this context

#

I googled it

dusky bluff
#

Since the last digit is 6, the only possible remaining values are 1 to 5. But we need to select only 4 of them. So answer would be 5 choose 4.

#

@latent iron the answer is 5 possible ways.

native temple
#

and it said “to include (part of a curve, surface, or solid) between two points, curves, or surfaces”

white karma
#

A chord AB of length 2 cm is drawn in a circle of radius 3 cm. A diameter BC is constructed, and the tangent from C is drawn. The chord AB is extended to meet the tangent at D. Find the length of AD.

#

my question still needs answering

#

<@&286206848099549185>

autumn rivet
#

srry thought that was a answer to the question on top

white karma
#

np

tight locust
#

stats q:

#

when taking the standard deviation of a set of data

#

why do you divide by n-1

#

instead of just n?

white karma
#

...

tight locust
#

isn't the goal to take the average squared difference? so if there are n differences you should divide by n?

white karma
#

sorry my question is still open

tight locust
#

draw it

white karma
#

i have

#

I got 4.67

#

the answer got 16

#

soo

#

@tight locust

wary stream
# tight locust why do you divide by n-1

Hope this helps, it is from my book
"It is natural to wonder why the sum of the squared deviations is divided by n − 1 rather than n. The purpose in computing the sample standard deviation is to estimate the amount of spread in the population from which the sample was drawn. Ideally, therefore, we would compute deviations from the mean of all the items in the population, rather than the deviations from the sample mean. "

white karma
#

dldh06 any ideas

#

for mine

#

?

wary stream
#

Chord tangent theorem

white karma
#

is the answer 16?

tight locust
#

of course it would be better to work with the entire population instead of the sample. but why n-1 ?

wary stream
#

It's an estimate the amount of spread

tight locust
#

yes but why n-1 instead of n

alpine sable
#

n-1 overfits the data

wicked merlin
#

n+g=72 right?
g(other girl)
n(the girl who gives eleven cards)

#

2n=g+11

#

or n-11=g/2

undone dock
#

Wait actually

#

it's close, remember that g now has 11 more

tight locust
wary stream
# tight locust yes but why n-1 instead of n

Also from my book,
"It is a mathematical fact that the deviations around the sample mean tend to be a bit smaller then the deviations around the population mean and that dividing by n - 1 rather than n provides exactly the right correction"

#

It's just to fix the error

alpine sable
#

to fix the error of over fitting

#

if you dont use n-1 you will develop a model that will over estimate. doing n-1 fix that error

wary stream
#

Basically what I just said too

#

Error fixing

alpine sable
#

yes, i think i just said it in a way thats easier to understand than your book 😛 hahaha

wary stream
#

You probably just read it and summarized it

alpine sable
#

I am a data analyst...... i know what the point of n-1 is without your book.

tight locust
#

what is overfitting and why is it bad

cerulean surge
#

How do I do (3) and (4)?

#

<@&286206848099549185>

oak chasm
#

The girl who gave 11 has 11 less. The other girl has 11 more.

#

Or, n - 11 = 1/2(g + 11)

#

Either one.

spring inlet
#

@tight locust It's n-1 because you're estimating std dev using the sample mean; n-1 are the degrees of freedom. If you had the population mean to calculate the population std dev, it would be n. Using n-1 gives you an 'unbiased' estimate. see: https://en.wikipedia.org/wiki/Unbiased_estimation_of_standard_deviation

In statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated value of the standard deviation (a measure of statistical dispersion) of a population of values, in such a way that the expected value of the calculation equals the true value. Except in so...

elfin talon
#

Can I use this to prove that n^0 = 1

spring inlet
#

If you want to prove n^0 = 1, then you can't use the fact that n^0 = 1 in your proof.

glass lichen
#

You did

#

Also inf root is bullshit

elfin talon
#

Let me explain

#

The radical of a number over 1 is always over one

#

this is effectively x radical y

#

As y approach’s 0, x approaches 1(never going under it)

placid zinc
#

We all understand how you get to n⁰

elfin talon
#

Can you let me continue

placid zinc
#

But how did you then get to 1?

elfin talon
elfin talon
#

So x radical 0 = 1

#

So x^0 = 1

#

Get it?

spring inlet
#

Why must it equal 1

elfin talon
spring inlet
#

Prove it

elfin talon
#

Oh I get your question

elfin talon
elfin talon
#

And yeah the exponent will equal 0

#

So it sorta converges towards 1

elfin talon
#

@placid zinc does this make sense

#

I’m really bad at explaining

#

But I think I did a good job

placid zinc
#

Yeah it makes sense

elfin talon
# placid zinc Yeah it makes sense

You can also use repetition permutations which are x^n, if you have x elements and 0 slots your gonna have 1 combination which is null

spring inlet
#

You may want to write a little bit explaining it, if this were a real proof on a test, makes sense now

placid zinc
alpine sable
#

is there a on going question ?

elfin talon
#

Never thought it was the slots I just guessed

#

Since it doesn’t matter

#

1 combination

#

Null

glass lichen
#

You also assume 1/inf=0

#

Which is false

elfin talon
glass lichen
#

You did

elfin talon
#

There are no assumptions made

glass lichen
#

Infinite root if x makes no sense

elfin talon
#

Fuck

#

I did say that shit

glass lichen
#

Yes

elfin talon
#

What I meant is that as n approach’s 0, x approach’s infinity, so when n is 0 x is infinity

glass lichen
#

Now you can salvage it by showing the limit is 1, then show the limit US equivalent to n^0

elfin talon
#

So the infinit root of x is x^0

glass lichen
#

Hence getting n^0=1

elfin talon
#

So yeah the infinit root part isn’t wrong

glass lichen
#

Again

#

Infinite root isn't a thing

#

And n can't be 0

#

n has to be positive

elfin talon
elfin talon
#

I know I said that accidentally

#

@glass lichen does it make sense

#

In theory x radical infinity is in fact 1 I still insist

#

It really depends if you think convergence is good enough

radiant agate
#

What numbers would make the denominator zero?

alpine sable
#

Heh.

wary stream
alpine sable
#

Epic.

wary stream
#

Don't be telling answers

elfin talon
#

Shit yeah

alpine sable
#

is f(x) = 0 a function?

brave pelican
#

👍 a sort of function

alpine sable
#

a constant function

meager jay
#

Hi

#

Is $x=0$ an inflection point of $y = x^{\frac{1}{3}}$?

ocean sealBOT
#

Delta0001

meager jay
#

If yes, then can I get some textbook reference which says that for inflection point f''(x) doesn't need to be defined

#

If no, then please explain why not

alpine sable
ocean sealBOT
alpine sable
#

it will be -8?

#

$$y=2\cdot(-8) - (-16) = 32$$

wary stream
#

Why is there a double negative?

ocean sealBOT
alpine sable
#

there's supposed to be one

wary stream
alpine sable
#

it's just me being sleepy

wary stream
#

Which is it?

alpine sable
#

if you have y = 2x - 16, the function will have the biggest value when x=-8

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oh wait maybe not

wary stream
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$$2*(-8) -16 \neq 32$$

alpine sable
#

i know

ocean sealBOT
#

dldh06

alpine sable
#

i'll just try with them all ig

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y = 2(-8) - 16= -32
y = 2(-6) - 16 = -28
y = 2(-4) - 16 = -24
y = 2(-2) - 16 = -20
y = 2(0) - 16 = -16
y = 2(2) - 16 = -12
y = 2(4) - 16 = -8
y = 2(6) - 16 = -4
y = 2(8) - 16 = 0
so the biggest value is when x=8, right?

wary stream
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Yes

glass lichen
#

@elfin talon would you like to see my proof using your idea?

glass lichen
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Ok let me TeX it

elfin talon
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Go on then

glass lichen
#

RTP: $\lim_{x\to\infty}n^{\frac{1}{x}}=n^0=1$
First, since $n^x$ is continuous $$\lim_{x\to\infty}n^{\frac{1}{x}}=n^{\lim_{x\to\infty}\frac{1}{x}}=n^0$$
Next, let $\lim_{x\to\infty}n^{\frac{1}{x}}=L$ then we want to now show $L=1$
Consider $\ln(L)=\ln(\lim_{x\to\infty}n^{\frac{1}{x}}) =\lim_{x\to\infty}\ln(n^{\frac{1}{x}})$ since $\ln(x)$ is continuous on $(0,\infty)$
Then, $\lim_{x\to\infty}\ln(n^{\frac{1}{x}})=\ln(n)\lim_{x\to\infty}\frac{1}{x}=0 \ \implies \ln(L)=0 \iff L=1$

ocean sealBOT
glass lichen
#

So n^0=1

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@elfin talon

elfin talon
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@glass lichen amazing

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Btw you admitted that 1/inf is 0

glass lichen
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I didnt

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Nowhere is $\frac{1}{\infty}$ written

ocean sealBOT
elfin talon
glass lichen
#

yeah

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that's not 1/inf

elfin talon
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Didn’t see the link

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*lim

alpine sable
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Where can i go, to ask simply maths questions, please and thankyou

elfin talon
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Didn’t consider it

alpine sable
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simple*

elfin talon
#

Sorry yeah

elfin talon
elfin talon
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Amazing explanation tho

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Mosh

alpine sable
#

My answer is wrong, what am i doing wrong in regards to this question

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A goat is tethered to a post in the centre of a circular grassed area that has a radius of 6.2 metre. What
area of grass is the goat unable to reach if it is tethered by a rope 5.6 m long?

3.14 x 6.2squared

3.14 x 5.6squared

= 3.77m squared

elfin talon
glass lichen
#

,w pi*(6.2^2-5.6^2)

elfin talon
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It first said it was 6.2 and then 5.4

glass lichen
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Im going to guess you just messed up punching it in @alpine sable

alpine sable
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tytyty 😄

glass lichen
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because your working is correct, just not the final answer

elfin talon
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Oh he did

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Excuse me

glass lichen
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well... that's what was said

alpine sable
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You're right i entered it wrong into the calculator 😅

glass lichen
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I mean regardless, if you write $\pi\cdot 6.2^2-\pi\cdot 5.6^2$ on your working you should get majority of the marks anyways, as you nailed the concept perfectly

ocean sealBOT
tight locust
#

now use the fact that it is a difference of squares

alpine sable
#

quick question

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can this symbol: *

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be used as a multiplication sign

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like instead of brackets or x, you could use *

glass lichen
#

it's how multiplication is written in text / code, also mimics the $\cdot$

ocean sealBOT
alpine sable
#

okie tysm

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depends though, it's used for convolution

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:0

#

depends on what you're doing and your level

spark zenith
#

how to solve this -6x = 48 ????

alpine sable
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isolate x

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also is 8ab the same as 8ba

spark zenith
alpine sable
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is 2 times 3 the same as 3 times 2? @alpine sable

spark zenith
#

need i do 48:(-6)??

alpine sable
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@spark zenith yes

spark zenith
alpine sable
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sure

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@alpine sable 8ab is the same as 8ba is the same as ab8

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a8b, ba8, b8a etc

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but usually the variables are written alphabetically right?

spark zenith
#

3 x=1 ???
_
2

alpine sable
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it's nicer yes

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thanks for explaining Em,

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$\frac32 x=1$

ocean sealBOT
spark zenith