#help-27 | Mathematics | Page 121

devout snowBOT Oct 17, 2023, 2:03 AM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

outer oasis Oct 17, 2023, 2:05 AM

#

idk how to solve this

devout snowBOT Oct 17, 2023, 2:05 AM

#

outer oasis idk how to solve this

bitter bough Oct 17, 2023, 2:05 AM

#

lets start with the inside function

#

what does inverse cot mean?

outer oasis Oct 17, 2023, 2:06 AM

#

angle where cotangent is

#

^

bitter bough Oct 17, 2023, 2:07 AM

#

outer oasis angle where cotangent is

its this one

outer oasis Oct 17, 2023, 2:07 AM

#

yeah

#

i dont know how to get the the angle of a number that isnt on unit circle

bitter bough Oct 17, 2023, 2:08 AM

#

we can rewrite it

#

$\cot(\Theta)=-7/6$

woven radishBOT Oct 17, 2023, 2:09 AM

#

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

outer oasis Oct 17, 2023, 2:09 AM

#

yes

lyric hornet Oct 17, 2023, 2:11 AM

#

outer oasis yes

Ru, can I have you consider something?

outer oasis Oct 17, 2023, 2:11 AM

#

yes

lyric hornet Oct 17, 2023, 2:11 AM

#

Let $y=\arccot(x)$

woven radishBOT Oct 17, 2023, 2:11 AM

#

PajamaMamaLlama

lyric hornet Oct 17, 2023, 2:11 AM

#

then $\cot(y)=x$, right?

woven radishBOT Oct 17, 2023, 2:11 AM

#

PajamaMamaLlama

outer oasis Oct 17, 2023, 2:11 AM

#

uhh yes

lyric hornet Oct 17, 2023, 2:11 AM

#

now if you square both sides, what do you get?

outer oasis Oct 17, 2023, 2:12 AM

#

both sides would be squared?

lyric hornet Oct 17, 2023, 2:12 AM

#

$\cot^{2}(y)=x^2$

woven radishBOT Oct 17, 2023, 2:12 AM

#

PajamaMamaLlama

lyric hornet Oct 17, 2023, 2:12 AM

#

ok yeah pretty simply helper_laugh

#

but now I wish to use the identity $\csc^2\theta=1+\cot^2\theta$

woven radishBOT Oct 17, 2023, 2:12 AM

#

PajamaMamaLlama

lyric hornet Oct 17, 2023, 2:13 AM

#

woven radish **PajamaMamaLlama**

what can I do to both sides of this equation

lyric hornet Oct 17, 2023, 2:13 AM

#

woven radish **PajamaMamaLlama**

to use this identity?

outer oasis Oct 17, 2023, 2:13 AM

#

wait wdym to use it

lyric hornet Oct 17, 2023, 2:13 AM

#

so I have cot^2 right?

outer oasis Oct 17, 2023, 2:13 AM

#

yes

lyric hornet Oct 17, 2023, 2:14 AM

#

but I want to get csc^2

lyric hornet Oct 17, 2023, 2:14 AM

#

woven radish **PajamaMamaLlama**

what can I do this equation

#

to use csc^2=cot^2+1?

outer oasis Oct 17, 2023, 2:14 AM

#

do you mean add a 1

lyric hornet Oct 17, 2023, 2:14 AM

#

catthumbsup

#

so now $\csc^2(y)=x^2+1$, right?

woven radishBOT Oct 17, 2023, 2:14 AM

#

PajamaMamaLlama

outer oasis Oct 17, 2023, 2:15 AM

#

yeah

bitter bough Oct 17, 2023, 2:15 AM

#

Lmao this is what happens whne you dont wanna draw right triangles 😂 😂 😂

lyric hornet Oct 17, 2023, 2:15 AM

#

what happens if I take the reciprocal of both sides?

lyric hornet Oct 17, 2023, 2:15 AM

#

bitter bough Lmao this is what happens whne you dont wanna draw right triangles 😂 😂 😂

the algebra simplifies nicely anyways :)

outer oasis Oct 17, 2023, 2:15 AM

#

sin^2(y)

bitter bough Oct 17, 2023, 2:15 AM

#

yeah i can see where you are going

outer oasis Oct 17, 2023, 2:15 AM

#

and

lyric hornet Oct 17, 2023, 2:15 AM

#

yep $\sin^2(y)=\frac{1}{x^2+1}$

woven radishBOT Oct 17, 2023, 2:15 AM

#

PajamaMamaLlama

lyric hornet Oct 17, 2023, 2:15 AM

#

now how can we isolate sin?

outer oasis Oct 17, 2023, 2:16 AM

#

square root

lyric hornet Oct 17, 2023, 2:16 AM

#

yep!

#

$\sin(y)=\frac{1}{\sqrt{x^2+1}}$

woven radishBOT Oct 17, 2023, 2:16 AM

#

PajamaMamaLlama

lyric hornet Oct 17, 2023, 2:16 AM

#

now, what did we defined y to be?

lyric hornet Oct 17, 2023, 2:16 AM

#

woven radish **PajamaMamaLlama**

^

outer oasis Oct 17, 2023, 2:16 AM

#

1/sqrt of x^2 + 1?

lyric hornet Oct 17, 2023, 2:16 AM

#

not quite, that's sin(y)

outer oasis Oct 17, 2023, 2:17 AM

#

oh

lyric hornet Oct 17, 2023, 2:17 AM

#

woven radish **PajamaMamaLlama**

^^

outer oasis Oct 17, 2023, 2:17 AM

#

arccot

#

(x)

lyric hornet Oct 17, 2023, 2:17 AM

#

precisely!

#

now we have the identity

#

$\sin(\arccot(x))=\frac{1}{\sqrt{x^2+1}}$

woven radishBOT Oct 17, 2023, 2:17 AM

#

PajamaMamaLlama

lyric hornet Oct 17, 2023, 2:17 AM

#

now look at your problem and see how easy it is now :)

outer oasis Oct 17, 2023, 2:20 AM

#

bitter bough Lmao this is what happens whne you dont wanna draw right triangles 😂 😂 😂

what was the way he was talking about?

bitter bough Oct 17, 2023, 2:20 AM

#

the other way is you draw a right traignel and solve for the missing side

#

and sin is defined as opposite / hypotenuse

lyric hornet Oct 17, 2023, 2:21 AM

#

Cauchy said it best: "As for methods I have sought to give them all the rigour that one requires in geometry, so as never to have recourse to the reasons drawn from the generality of algebra."

bitter bough Oct 17, 2023, 2:22 AM

#

well im not gonna pretend like im even 1/1000th a mathematician as cauchy ;P

lyric hornet Oct 17, 2023, 2:22 AM

#

same kekw but just a good quote

outer oasis Oct 17, 2023, 2:23 AM

#

woven radish **PajamaMamaLlama**

also for this do i just plug in -7/6 for x

#

@lyric hornet

lyric hornet Oct 17, 2023, 2:24 AM

#

catthumbsup

outer oasis Oct 17, 2023, 2:25 AM

#

your way seemed hard to remember thats why i asked danny about the triangle

#

thats just an identity right

outer oasis Oct 17, 2023, 2:27 AM

#

lyric hornet <:catthumbsup:614540188747563008>

i got -6, now what do i do?

devout snowBOT Oct 17, 2023, 2:43 AM

#

@outer oasis Has your question been resolved?

devout snowBOT Oct 17, 2023, 2:58 AM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

raven moth Oct 17, 2023, 3:00 AM

#

Can someone help me 2.a I know for the bottom is x-1 because vertical asymptote is at 1 but how we figure out the top?

devout snowBOT Oct 17, 2023, 3:00 AM

#

raven moth Can someone help me 2.a I know for the bottom is x-1 because vertical asymptote ...

raven moth Oct 17, 2023, 3:02 AM

#

So far I figured out blank/x-1

devout snowBOT Oct 17, 2023, 3:17 AM

#

@raven moth Has your question been resolved?

raven moth Oct 17, 2023, 3:43 AM

#

<@&286206848099549185>

devout snowBOT Oct 17, 2023, 4:13 AM

#

@raven moth Has your question been resolved?

devout snowBOT Oct 17, 2023, 5:13 AM

#

@raven moth Has your question been resolved?

devout snowBOT Oct 17, 2023, 6:13 AM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

vast violet Oct 17, 2023, 7:04 AM

#

#

Hi

devout snowBOT Oct 17, 2023, 7:04 AM

#

vast violet

vast violet Oct 17, 2023, 7:04 AM

#

Im just having trouble with 1 thing

#

How do i tell if its a reflection off x axis

#

or reflection off y axis again

normal badge Oct 17, 2023, 7:12 AM

#

if you negate f(x) or y, then it will reflect off of the X axis and
if you negate x, then it will reflect off of the Y axis

devout snowBOT Oct 17, 2023, 7:19 AM

#

@vast violet Has your question been resolved?

devout snowBOT Oct 17, 2023, 7:34 AM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

limpid citrus Oct 17, 2023, 7:46 AM

#

could someone help me understand the logic of this

devout snowBOT Oct 17, 2023, 7:46 AM

#

limpid citrus could someone help me understand the logic of this

limpid citrus Oct 17, 2023, 7:52 AM

#

.close

devout snowBOT Oct 17, 2023, 7:52 AM

#

Channel closed

Closed by @limpid citrus

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

gilded coyote Oct 17, 2023, 8:11 AM

#

Working through my first problem set in Basic Mathematics by Serge Lang and he asks us to prove some equalities via commutativity and associativity. I'm doing this on my own, so I don't have a teacher to ask for correct answers.

Is my way of thinking about this (and way of writing it) correct? I've never written a proof, so I'm unsure exactly what I'm supposed to show.

Problem 1).

Commutativity tells us that x + y = y + x
Associativity tells us that (x + y) + z = (x + z) + y

By commutativity, (a + b) + (c + d) = (b + a) + (d + c)
By associativity, (a + d) + (b + c)

Therefore, (a + b) + (c + d) = (a + d) + (b + c)

Remember, this is Basic Mathematics, so we don't have set theory or any other proof methods.

devout snowBOT Oct 17, 2023, 8:11 AM

#

gilded coyote Working through my first problem set in Basic Mathematics by Serge Lang and he a...

#

@gilded coyote Has your question been resolved?

long pasture Oct 17, 2023, 8:36 AM

#

gilded coyote Working through my first problem set in Basic Mathematics by Serge Lang and he a...

Commutative ✓
iirc, Associativity should be (x+y)+z=x+(y+z)
So you can try again with the above.
As a start, I'll do some initial steps.
(a+b)+(c+d)
=a+(b+(c+d)) Asso on (a+b) and (c+d) "as one term"
=a+((c+d)+b) Commu on b and (c+d)
= ...

gilded coyote Oct 17, 2023, 8:37 AM

#

long pasture 1. Commutative ✓ 2. iirc, Associativity should be (x+y)+z=x+(y+z) So you can try...

Okay, thank you 🙂

devout snowBOT Oct 17, 2023, 9:07 AM

#

@gilded coyote Has your question been resolved?

devout snowBOT Oct 17, 2023, 9:37 AM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

late terrace Oct 17, 2023, 9:45 AM

#

devout snowBOT Oct 17, 2023, 9:45 AM

#

late terrace

late terrace Oct 17, 2023, 9:46 AM

#

so what does this question mean? i dont understand

#

it should be simple

devout snowBOT Oct 17, 2023, 10:01 AM

#

@late terrace Has your question been resolved?

late terrace Oct 17, 2023, 10:01 AM

#

how?

#

yea i have

#

wdym value?

#

so cos 60

#

and root3/2

#

right?

#

@restive river the angle would be 60

#

pie on 3?

#

oh ok

#

how is pi 180 if the radius is 1 tho

#

wait nvm got confused

#

so u mean multiples ?

#

well pi/3 angle would be at 60 degrees at 1/2 and root3/2

#

oh u mean the one in the 4th quadrant?

#

ah yea the one at 300 degree right

#

is that what u mean

#

ah really?

#

#

@restive river here

#

i see

#

yea sure

#

yea

#

hm

#

ah

#

rotation or expand/

#

?

#

so moving the circle?

#

oh is it pi

#

or 2pi

#

ohk hm

#

ah ye

devout snowBOT Oct 17, 2023, 10:16 AM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

late terrace Oct 17, 2023, 10:16 AM

#

so 2pi right

#

so it means the circle can be moved in any angle at a unit of 2pi

#

right i understand

#

now how would i get the values?

devout snowBOT Oct 17, 2023, 10:17 AM

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

#

late terrace Oct 17, 2023, 10:17 AM

#

ah yeo

#

yep

#

wdym k ?

#

yea ok

#

yea

#

so it would be between 4 pi

#

and -4pi

#

oh hm

#

why not -pi

#

-4pi

#

oh shoot

#

u right

#

yea

#

so 0 and 4pi okay

#

and goes in intervals of pi/3 + 2pi

#

well first one is pi/3 + 2pi

#

oh shoot pi/3

#

how do i know if the vvalues are between 0 and 4 tho?

#

i mean less than 4

#

oh wait 4pi

#

that makes sese

#

alright so

#

pi/3, pi/3+2pi, pi/3 + 4

#

why pi/4?

#

for that equation

#

ohh okay that makes sese

#

so 4pi - pi/3+4 should be negative

#

let me do the math brb

#

@restive river i got a differenet answer when i minus them

#

and ye i changed to 4pi

#

@restive river can u show me how to minus it? or do i have to convert to degree

#

how is it 4pi -(pi/3 +4pi) not 4pi-pi/3+4pi

#

why ?

#

(5+3)-10

#

oh wait i see

#

how ? ur subtracting from after 3+5

#

alright

#

so okay 4pi - ( pi/3+4pi)

#

alright let me do it

#

so i got 12pi-13pi/3

#

which is then -pi/23

#

so correct

#

sorry i mea that the value u said is correct

#

how ? sorry i mean (12pi-13pi)/3 , which means the value i get is -pi/3, which then means the value is negative so no solotion

#

right?

#

really? a faster way? sure

#

sure show

#

ohhhh

#

so can i do that with any given restriction tho?

#

isnt that wrong tho? cause ur saying that a will always be -a

#

-pi/3?

#

okay

#

so yea now i know that the third value is negative

#

yea 2 values

#

what?

#

hm?

#

so -pi/3 + 2pi

#

for k = 1

#

so then 5pi/3?

#

how? by subtracting that with 4pi?

#

so then i get 7pi/3

#

yea

#

what does this mean?

#

its greater

#

5pi/3 is greater

#

than 4pi

#

cause wait

#

so if 4pi is smaller or bigger than 5pi/3, so i minus 4pi by 5pi/3

#

so then it becomes (12pi-5pi)/3 which is 7pi/3

#

its a postitive so then 4pi is greater @restive river ?

#

is that it

#

yea

#

oh shoot then sorry but yea i worked it out

#

try what?

#

okay

#

u mean -pi/3 is greater or smaller than 4pi? or the equation

#

which one

#

ok

#

4pi-11pi/3

#

which then is 12pi-11pi on 3

#

pi/3

#

@restive river

#

wait so the answer is postive

#

its greater if the answer is postive

#

so ye 4pi is greater

#

done

#

so we have pi/3 + 2pi

#

pi/3 +4pi

#

really oh shoot

#

too much writing i cant see

#

well isnt it pi/3

#

and then pi/3 + 2pi

#

whats the other two we found

#

and 5pi/3

#

and -pi/3 + 4pi @restive river

#

wait but how did u get the other two values again? ik how to check but how did we get 5pi/3 and -pi/3 @restive river

#

yep

#

yep

#

did we do 0 tho i thought only 1 and 2

#

4pi + pi/3 =12pi+pi on 3 = 13pi/3 which meas its positive

#

and if its positive it means its in between 4pi @restive river

#

is that wrong

#

i got 4pi + pi/3 cause 4pi - - pi/3 = 4pi+pi/3

#

devout snowBOT Oct 17, 2023, 11:16 AM

#

Channel closed

Closed by @spiral stratus

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

restive river Oct 17, 2023, 12:16 PM

#

devout snowBOT Oct 17, 2023, 12:16 PM

#

restive river

restive river Oct 17, 2023, 12:17 PM

#

Shouldn’t there be a costheta also multiplying with cosec square?

#

I highlighted it

#

The expression they want us to prove

#

<@&286206848099549185>

#

Is there a mistake or am I wrong?

#

.close

devout snowBOT Oct 17, 2023, 12:39 PM

#

Channel closed

Closed by @ionic hatch

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

glacial aurora Oct 17, 2023, 12:56 PM

#

trying to do mathematical induction but I’m stuck now

devout snowBOT Oct 17, 2023, 12:56 PM

#

glacial aurora trying to do mathematical induction but I’m stuck now

sweet estuary Oct 17, 2023, 12:58 PM

#

use the inductive hypothesis

glacial aurora Oct 17, 2023, 1:00 PM

#

sweet estuary use the inductive hypothesis

how can I do that?

#

if = and if < ?

sweet estuary Oct 17, 2023, 1:00 PM

#

#

you can chain inequalities

glacial aurora Oct 17, 2023, 1:01 PM

#

I was going to substitute but with the < idk if I can do that

sweet estuary Oct 17, 2023, 1:01 PM

#

just keep it as <=

#

there's no need for strict inequalities here

glacial aurora Oct 17, 2023, 1:05 PM

#

sweet estuary just keep it as <=

I can’t figure out what to put <=

sweet estuary Oct 17, 2023, 1:09 PM

#

the circled and the underlined

glacial aurora Oct 17, 2023, 1:12 PM

#

sweet estuary the circled and the underlined

is this right?

sweet estuary Oct 17, 2023, 1:14 PM

#

glacial aurora Oct 17, 2023, 1:16 PM

#

and the last operation is right?

#

@sweet estuary

devout snowBOT Oct 17, 2023, 1:32 PM

#

@glacial aurora Has your question been resolved?

glacial aurora Oct 17, 2023, 1:44 PM

#

<@&286206848099549185> Can you verify if this math induction is correct?

gentle crow Oct 17, 2023, 1:45 PM

#

glacial aurora <@&286206848099549185> Can you verify if this math induction is correct?

Opps handwriting lol

devout snowBOT Oct 17, 2023, 1:47 PM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

devout snowBOT Oct 17, 2023, 3:00 PM

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

safe crest Oct 17, 2023, 3:03 PM

#

devout snowBOT Oct 17, 2023, 3:03 PM

#

safe crest

safe crest Oct 17, 2023, 3:04 PM

#

why does arg(z1+z2) = pi/2

sullen island Oct 17, 2023, 3:04 PM

#

z1+z2 is just 2i

pseudo basin Oct 17, 2023, 3:04 PM

#

^

sullen island Oct 17, 2023, 3:04 PM

#

it goes in the same direction as i doesn't it @safe crest

safe crest Oct 17, 2023, 3:04 PM

#

but 2i = pi

sullen island Oct 17, 2023, 3:05 PM

#

?

safe crest Oct 17, 2023, 3:05 PM

#

i = cis(pi/2)

#

the arguement for i is pi/2

sullen island Oct 17, 2023, 3:05 PM

#

yeah, 2i = 2cis(pi/2)

#

same argument

safe crest Oct 17, 2023, 3:05 PM

#

oh so the arguement doesnt chang

#

i see

#

thank you

#

.close

devout snowBOT Oct 17, 2023, 3:06 PM

#

Channel closed

Closed by @safe crest

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

trail oyster Oct 17, 2023, 3:23 PM

#

Is the final answer square root 53? What did i do wrong?

devout snowBOT Oct 17, 2023, 3:26 PM

#

trail oyster Is the final answer square root 53? What did i do wrong?

trail oyster Oct 17, 2023, 3:34 PM

#

<@&286206848099549185>

tranquil iron Oct 17, 2023, 3:45 PM

#

#

Forgot to divide by 3 factorial there

#

@trail oyster

#

Also have to sub x= 1/50 into the actual binomials/ equations on the lhs and then rearrange for sqroot 53

devout snowBOT Oct 17, 2023, 3:56 PM

#

@trail oyster Has your question been resolved?

trail oyster Oct 17, 2023, 4:02 PM

#

I still got 1.02

#

@tranquil iron

#

<@&286206848099549185>

tranquil iron Oct 17, 2023, 4:12 PM

#

Lemme try it

tranquil iron Oct 17, 2023, 4:13 PM

#

trail oyster I still got 1.02

At the end you then have sqroot53 / 7 = 1.02

#

So you multiply both sides by 7 to get what sqroot53 approximately equals to

trail oyster Oct 17, 2023, 4:17 PM

#

Like this?

tranquil iron Oct 17, 2023, 4:17 PM

#

👍👍👍

#

Answer is to 4 d.p though so it should be smth like 7.1364

trail oyster Oct 17, 2023, 4:20 PM

#

Alrightt thank youu so much!!

tranquil iron Oct 17, 2023, 4:20 PM

#

No worries and to check your work you could check what sqroot of 53 is in your calc and it should be a similar value ish

trail oyster Oct 17, 2023, 4:22 PM

#

👍

devout snowBOT Oct 17, 2023, 4:52 PM

#

@trail oyster Has your question been resolved?

devout snowBOT Oct 17, 2023, 5:22 PM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

restive river Oct 17, 2023, 5:47 PM

#

$x$ describes the outcomes of a red die,$y$ a blue one. Can the sample Space be written as [
\set{(x,y) \in (\Z^+)^2 \where x \le 6, y \le 6}
]

devout snowBOT Oct 17, 2023, 5:47 PM

#

restive river $x$ describes the outcomes of a red die,$y$ a blue one. Can the sample Space be ...

woven radishBOT Oct 17, 2023, 5:47 PM

#

restive river Oct 17, 2023, 5:47 PM

#

okay I know the notation is wild but I'm trying to experiment with how you can describe stuff

pale bolt Oct 17, 2023, 5:48 PM

#

I think you cant do $(\bZ^+)^2$

woven radishBOT Oct 17, 2023, 5:48 PM

#

supple knot Oct 17, 2023, 5:48 PM

#

$\N \times \N$

woven radishBOT Oct 17, 2023, 5:48 PM

#

riemann

pale bolt Oct 17, 2023, 5:49 PM

#

either that, or split x,y to each by in Z

#

why does \Z work for you guys but not for me 🤔

restive river Oct 17, 2023, 5:49 PM

#

I wanted to use that but I just don't like using N anymore since it can be ambiguous on whether it includes 0 or not

#

in some cases

pale bolt Oct 17, 2023, 5:49 PM

#

$\bN^+ \times \bN^+$

woven radishBOT Oct 17, 2023, 5:49 PM

#

winter torrent Oct 17, 2023, 5:50 PM

#

ambiguity breeds creativity and math is all about creativity if you think about it

pale bolt Oct 17, 2023, 5:50 PM

#

regardless I've never seen the squared notation and I suspect its wrong

restive river Oct 17, 2023, 5:50 PM

#

fair enough

restive river Oct 17, 2023, 5:51 PM

#

pale bolt regardless I've never seen the squared notation and I suspect its wrong

isn't it just similar to $\R^2$

woven radishBOT Oct 17, 2023, 5:51 PM

#

restive river Oct 17, 2023, 5:51 PM

#

it's the same principle

supple knot Oct 17, 2023, 5:51 PM

#

The + and the 2 just makes it look ugly

#

Just go with N and if someone asks "isn't 0 in N" tell them ~~to fuck off~~ not according to these sources: <your favorite books here>

restive river Oct 17, 2023, 5:52 PM

#

lmfao okay

#

thanks everyone

#

.close

devout snowBOT Oct 17, 2023, 5:53 PM

#

Channel closed

Closed by @worthy tiger

Use .reopen if this was a mistake.

restive river Oct 17, 2023, 5:55 PM

#

.reopen

devout snowBOT Oct 17, 2023, 5:55 PM

#

✅

restive river Oct 17, 2023, 5:55 PM

#

wait question

#

my book writes it as [
S = \set{(x,y) \where 1\le x, y\le 6}
]
but can you 1) assume that $x$ and $y$ are both integers from that, and 2) write the inequality like thay

woven radishBOT Oct 17, 2023, 5:56 PM

#

pale bolt Oct 17, 2023, 5:57 PM

#

probably not by default, but if its about dice then I suppose you can assume
yes

restive river Oct 17, 2023, 5:58 PM

#

why yes for 2)

#

how can you differentiate between that and saying "x is greater or equal to 1, and y is lesser or equal to 6"

sonic smelt Oct 17, 2023, 5:58 PM

#

woven radish

Depends on the context

#

For 2 I would say yes as well

pale bolt Oct 17, 2023, 5:58 PM

#

restive river how can you differentiate between that and saying "x is greater or equal to 1, a...

you would write it the other way if you wanted that
$x \geq 1, y \leq 6$

woven radishBOT Oct 17, 2023, 5:59 PM

#

pale bolt Oct 17, 2023, 5:59 PM

#

I didnt even consider that alternate meaning when I read that

restive river Oct 17, 2023, 5:59 PM

#

I mean, I did. That was the first thing I saw which made me confused for a second, but I guess your way makes it less ambiguous

pale bolt Oct 17, 2023, 6:00 PM

#

you could explicitly write out the inequality for both x and y if you were so inclined, but this one is clear in general

restive river Oct 17, 2023, 6:01 PM

#

I see ok

#

ty

#

.close

devout snowBOT Oct 17, 2023, 6:01 PM

#

Channel closed

Closed by @worthy tiger

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

dapper gyro Oct 17, 2023, 6:06 PM

#

Could I get a run through on how to do these questions?

rn_image_picker_lib_temp_039dee94-393b-48ab-a792-10ffea07bb26.jpg

devout snowBOT Oct 17, 2023, 6:06 PM

#

dapper gyro Could I get a run through on how to do these questions?

prime hollow Oct 17, 2023, 6:11 PM

#

No, I think you should explain how far you have come or ask something more specific.

dapper gyro Oct 17, 2023, 6:12 PM

#

Well looking at it, im confused on how to find point P

#

Ive found the dy/dx

#

But confused on where to go from here

prime hollow Oct 17, 2023, 6:13 PM

#

You need to solve x^5-x^3=0

#

YOu don't need the derivative for the first step

dapper gyro Oct 17, 2023, 6:15 PM

#

Would it be 1?

prime hollow Oct 17, 2023, 6:16 PM

#

Yeah.

dapper gyro Oct 17, 2023, 6:16 PM

#

(1,0)

#

Ah ok

prime hollow Oct 17, 2023, 6:16 PM

#

Right

dapper gyro Oct 17, 2023, 6:16 PM

#

then use the derivative to find the tangent?

prime hollow Oct 17, 2023, 6:16 PM

#

You got it

dapper gyro Oct 17, 2023, 6:16 PM

#

ohhh ok

#

Alr cheers

#

.close

devout snowBOT Oct 17, 2023, 6:19 PM

#

Channel closed

Closed by @dapper gyro

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

thorny sinew Oct 17, 2023, 6:54 PM

#

devout snowBOT Oct 17, 2023, 6:54 PM

#

thorny sinew

thorny sinew Oct 17, 2023, 6:54 PM

#

easy, this is undefined right?

#

.CLOSE

#

.close

devout snowBOT Oct 17, 2023, 6:56 PM

#

Channel closed

Closed by @thorny sinew

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

stark shale Oct 17, 2023, 7:09 PM

#

i'm confused about this

devout snowBOT Oct 17, 2023, 7:09 PM

#

stark shale i'm confused about this

stark shale Oct 17, 2023, 7:09 PM

#

#

in the solution they can compute the value of e^1.3

#

it's just an approximation i guess and i could put say 4 or 5 if i have no better idea?

#

i mean what if i can't compute it?

#

how do i pick the max value?

devout snowBOT Oct 17, 2023, 7:26 PM

#

@stark shale Has your question been resolved?

devout snowBOT Oct 17, 2023, 7:59 PM

#

@stark shale Has your question been resolved?

stark shale Oct 17, 2023, 8:50 PM

#

how could i estimate e^1.3 without being able to evaluate it?

devout snowBOT Oct 17, 2023, 9:50 PM

#

@stark shale Has your question been resolved?

devout snowBOT Oct 17, 2023, 10:50 PM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

devout snowBOT Oct 17, 2023, 11:13 PM

#

Channel closed

Channel closed due to the original message being deleted.
If you did not intend to do this, please open a new help channel,
as this action is irreversible, and this channel may abruptly lock.

devout snowBOT Oct 18, 2023, 12:39 AM

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

restive river Oct 18, 2023, 12:43 AM

#

Why does it say a^2 even?

devout snowBOT Oct 18, 2023, 12:43 AM

#

restive river Why does it say a^2 even?

dark tundra Oct 18, 2023, 12:45 AM

#

restive river Why does it say a^2 even?

We assume when we express sqrt(2) as a/b, a and b are relatively prime integers

#

(Whoever wrote that sol should have written that explicitly)

#

So if b is an integer, so is b^2

signal crag Oct 18, 2023, 12:46 AM

#

Usually you have to specify that HCF(a,b) = 1

dark tundra Oct 18, 2023, 12:46 AM

#

You definitely do

#

The whole idea of the proof is to force GCF(a,b)=2, which contradicts the assumption that a/b is simplified, a,b relatively prime, or GCF(a,b)=1, which are all basically equivalent

restive river Oct 18, 2023, 12:51 AM

#

@dark tundra sorry I'm not following. If a/b = 1/3, then a^2 isn't even, right?

dark tundra Oct 18, 2023, 12:51 AM

#

It still is

#

in the context of our proof, a^2=2b^2=2k for some integer k, which is the definition of even

restive river Oct 18, 2023, 12:53 AM

#

@dark tundra ooohhh, I think I get it now. thx

devout snowBOT Oct 18, 2023, 1:08 AM

#

@restive river Has your question been resolved?

#

Channel closed

Closed by @pulsar apex

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

#

devout snowBOT Oct 18, 2023, 1:32 AM

#

@restive river Has your question been resolved?

devout snowBOT Oct 18, 2023, 2:38 AM

#

@restive river Has your question been resolved?

#

Channel closed

Closed by @candid quarry

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

vernal anvil Oct 18, 2023, 2:51 AM

#

devout snowBOT Oct 18, 2023, 2:51 AM

#

vernal anvil

vernal anvil Oct 18, 2023, 2:51 AM

#

not sure i entirely understand what im supposed to do here

#

if anyone could help me out that would be great

devout snowBOT Oct 18, 2023, 3:06 AM

#

@vernal anvil Has your question been resolved?

#

Channel closed

Closed by @vernal anvil

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

sharp quiver Oct 18, 2023, 3:15 AM

#

help! this problem has been killing me.

devout snowBOT Oct 18, 2023, 3:15 AM

#

sharp quiver help! this problem has been killing me.

sharp quiver Oct 18, 2023, 3:15 AM

#

i've been attempting to get the right answer for hours, and nothing's worked.

restive river Oct 18, 2023, 3:16 AM

#

what did u try

sharp quiver Oct 18, 2023, 3:17 AM

#

i tried to FOIL this first: (3x-4)^2 (5x+1)

#

this is on ALEKS, which is what my homework is on. u can have multiple attempts @ different problems, and on those previous problems, i tried FOILing the others, but nothing worked.

#

there's more questions later that i also need urgent help on cuz this homework assignment is due @ midnight, and i've been struggling w/ it since i got home from school.

restive river Oct 18, 2023, 3:18 AM

#

ur ignoring the last condition...

sharp quiver Oct 18, 2023, 3:18 AM

#

hold up. lemme test something rq.

restive river Oct 18, 2023, 3:19 AM

#

sharp quiver i tried to FOIL this first: (3x-4)^2 (5x+1)

this is correct besides ur constant value which u arent solving for

restive river Oct 18, 2023, 3:19 AM

#

restive river ur ignoring the last condition...

see this comment

sharp quiver Oct 18, 2023, 3:20 AM

#

restive river see this comment

i saw it. that's why i said i was testing something.

restive river Oct 18, 2023, 3:20 AM

#

ok

sharp quiver Oct 18, 2023, 3:20 AM

#

it turns out that FOILing it won't give me a constant of -48.

#

im still kinda lost tho cuz idk what to do.

#

ik that i have to foil it cuz from my other attempts, it's gonna be in standard form.

restive river Oct 18, 2023, 3:21 AM

#

u want to solve for some k s.t. f(x) = k(3x-4)^2 (5x+1) and f(0) = -48

sharp quiver Oct 18, 2023, 3:21 AM

#

restive river u want to solve for some k s.t. f(x) = k(3x-4)^2 (5x+1) and f(0) = -48

what's k s.t.?

restive river Oct 18, 2023, 3:21 AM

#

some k such that

sharp quiver Oct 18, 2023, 3:22 AM

#

im still lost.

restive river Oct 18, 2023, 3:23 AM

#

plug in x=0

#

solve for a k so that u get -48

sharp quiver Oct 18, 2023, 3:23 AM

#

ight, but where's k supposed to be?

#

or what's k even supposed to be?

restive river Oct 18, 2023, 3:24 AM

#

i havent solved it idk?

#

k is just a constant

sharp quiver Oct 18, 2023, 3:24 AM

#

oh oki.

restive river Oct 18, 2023, 3:24 AM

#

so that u satisify ur last condition

sharp quiver Oct 18, 2023, 3:25 AM

#

so, what ur saying is that i should foil it first and then put -k at the end?

#

just to solve it?

#

like this?: (9x^2-24x+16)(5x+1)-k (i foiled the part w/ the multiplicity of 2.)

restive river Oct 18, 2023, 3:26 AM

#

bro what

#

u have

#

k(3x-4)^2 (5x+1)

#

right?

#

plug in x=0 and find a k so that it equals -48

sharp quiver Oct 18, 2023, 3:26 AM

#

restive river k(3x-4)^2 (5x+1)

yea.

#

OHHHHHH

#

hold up. i think i got it. lemme check.

#

cuz this shit's been killing me, and i still have more questions that r just as confusing.

#

just for the sake of knowledge, should i put a minus between (3x-4)^2 and (5x+1)?

#

cuz if u look back @ the question, one of the zeros is -1/5

restive river Oct 18, 2023, 3:29 AM

#

wat

#

??

#

its -1/5 so u made it 5x+1?

sharp quiver Oct 18, 2023, 3:30 AM

#

yea.

restive river Oct 18, 2023, 3:30 AM

#

sharp quiver just for the sake of knowledge, should i put a minus between (3x-4)^2 and (5x+1)...

wat does this mean then

sharp quiver Oct 18, 2023, 3:30 AM

#

restive river wat does this mean then

im saying should i put a minus between it so that it's easier to calculate.

#

since the minus will distribute itself into (5x+1)

restive river Oct 18, 2023, 3:31 AM

#

(3x-4)^2 - (5x+1) ???

#

i think im misunderstanding u or smthing

#

what equation do u mean

sharp quiver Oct 18, 2023, 3:32 AM

#

restive river what equation do u mean

im saying when i write (3x-4)^2 and (5x+1), should i put a minus sign between them so that it distributes itself into (5x+1) and causes it to turn into -5x-1

#

which would turn the overall equation into (3x-4)^2(-5x-1)

restive river Oct 18, 2023, 3:32 AM

#

so like (3x-4)^2(-1)(5x+1)

#

or

#

(3x-4)^2 - (5x+1)

sharp quiver Oct 18, 2023, 3:33 AM

#

restive river (3x-4)^2 - (5x+1)

like this.

restive river Oct 18, 2023, 3:33 AM

#

no that doesnt make any sense

#

thats like a completely different equation?

sharp quiver Oct 18, 2023, 3:36 AM

#

.close

devout snowBOT Oct 18, 2023, 3:36 AM

#

Channel closed

Closed by @sharp quiver

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

lusty moth Oct 18, 2023, 3:39 AM

#

I am unsure what to do with this problem, it's a linear expression problem

devout snowBOT Oct 18, 2023, 3:39 AM

#

lusty moth I am unsure what to do with this problem, it's a linear expression problem

graceful cosmos Oct 18, 2023, 3:40 AM

#

Consider factoring that polynomial, with the understanding that x+3 is a factor

lusty moth Oct 18, 2023, 3:42 AM

#

What do you mean?

#

.close

devout snowBOT Oct 18, 2023, 3:54 AM

#

Channel closed

Closed by @lusty moth

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

limpid citrus Oct 18, 2023, 3:58 AM

#

I am doing the projectile question at the bottom and I am kind of stumped

devout snowBOT Oct 18, 2023, 3:58 AM

#

limpid citrus I am doing the projectile question at the bottom and I am kind of stumped

limpid citrus Oct 18, 2023, 3:58 AM

#

#

Wouldn't the position vector for i have a t in it?

#

because the answer abstains the t in (25sqrt2)/2

#

ping me if you have answer

devout snowBOT Oct 18, 2023, 4:16 AM

#

@limpid citrus Has your question been resolved?

limpid citrus Oct 18, 2023, 4:17 AM

#

<@&286206848099549185>

wicked turtle Oct 18, 2023, 4:18 AM

#

limpid citrus Wouldn't the position vector for i have a t in it?

not necessarily.. there would be no t for the i component if the particle is always moving vertically

limpid citrus Oct 18, 2023, 4:18 AM

#

catThink

#

are you sure?

wicked turtle Oct 18, 2023, 4:19 AM

#

yes

#

think about a vertical line in the x-y plane

limpid citrus Oct 18, 2023, 4:19 AM

#

limpid citrus I am doing the projectile question at the bottom and I am kind of stumped

because the question here doesn't state it being in constant motion or such

wicked turtle Oct 18, 2023, 4:19 AM

#

every point on the line has the same x value

#

oh i didn't see the first screenshot, just the second one and your question about t

#

let me check the first

limpid citrus Oct 18, 2023, 4:20 AM

#

this is the type of quetion that is like: "state accleration"

#

now find velocity

wicked turtle Oct 18, 2023, 4:20 AM

#

yea that should have a t in it of course

limpid citrus Oct 18, 2023, 4:20 AM

#

now find displacement

#

thats what I thought

#

the answers abstained the t and I was thinking it was a typo

wicked turtle Oct 18, 2023, 4:20 AM

#

the velocity won't have a t in the i component

#

because the horizontal velocity will be constant

limpid citrus Oct 18, 2023, 4:20 AM

#

yes indeed

#

alright thank you for the help bungo

wicked turtle Oct 18, 2023, 4:21 AM

#

sure cheers

limpid citrus Oct 18, 2023, 4:21 AM

#

.close

devout snowBOT Oct 18, 2023, 4:21 AM

#

Channel closed

Closed by @limpid citrus

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

zinc whale Oct 18, 2023, 4:34 AM

#

devout snowBOT Oct 18, 2023, 4:34 AM

#

zinc whale

zinc whale Oct 18, 2023, 4:34 AM

#

can someone explain to me why 1/2 and 1 were used in this interval

#

and how did they come up with this #?

#

oh wait nvm I see it

#

.close

devout snowBOT Oct 18, 2023, 4:35 AM

#

Channel closed

Closed by @zinc whale

Use .reopen if this was a mistake.

devout snowBOT Oct 18, 2023, 6:05 AM

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

crude sonnet Oct 18, 2023, 6:05 AM

#

are these two the same

devout snowBOT Oct 18, 2023, 6:05 AM

#

crude sonnet are these two the same

pseudo basin Oct 18, 2023, 6:07 AM

#

no, $\bmqty{1 & 0 \ 0 & 3}^{35} \neq \bmqty{1 & 0 \ 0 & 3}^{35 \cdot 35}$

woven radishBOT Oct 18, 2023, 6:07 AM

#

AnnGhost

crude sonnet Oct 18, 2023, 6:08 AM

#

pseudo basin no, $\bmqty{1 & 0 \\ 0 & 3}^{35} \neq \bmqty{1 & 0 \\ 0 & 3}^{35 \cdot 35}$

what's the first example called since the second is raising to the power of dont know what its called in english

pseudo basin Oct 18, 2023, 6:08 AM

#

i don't know what you want to hear tbh

#

you raise the matrix [1 0; 0 3] to the 35th power and you call the result A

#

and then you ask whether A and A^35 are the same thing

#

which no they are not

crude sonnet Oct 18, 2023, 6:12 AM

#

well im unsure how you solve something like this since multiplying it by itself 3 times isnt it

#

the 2s somehow become 16 instead of 8
2x2x2

#

in the answer the 2s become 16 and the 3 becomes 27 which i understand since 3x3x3

devout snowBOT Oct 18, 2023, 6:31 AM

#

@crude sonnet Has your question been resolved?

devout snowBOT Oct 18, 2023, 7:01 AM

#

@crude sonnet Has your question been resolved?

devout snowBOT Oct 18, 2023, 8:02 AM

#

@crude sonnet Has your question been resolved?

devout snowBOT Oct 18, 2023, 10:02 AM

#

@crude sonnet Has your question been resolved?

devout snowBOT Oct 18, 2023, 12:02 PM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

restive river Oct 18, 2023, 12:09 PM

#

devout snowBOT Oct 18, 2023, 12:09 PM

#

restive river

restive river Oct 18, 2023, 12:09 PM

#

is this correct?

devout snowBOT Oct 18, 2023, 12:24 PM

#

@restive river Has your question been resolved?

devout snowBOT Oct 18, 2023, 12:39 PM

#

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

stuck ether Oct 18, 2023, 12:56 PM

#

devout snowBOT Oct 18, 2023, 12:56 PM

#

stuck ether

stuck ether Oct 18, 2023, 12:56 PM

#

how do I solve this??

quaint citrus Oct 18, 2023, 12:58 PM

#

Use FV of annuity formula

stuck ether Oct 18, 2023, 12:59 PM

#

but when I use it the answer is lower than 4k

quaint citrus Oct 18, 2023, 12:59 PM

#

Show work

stuck ether Oct 18, 2023, 1:00 PM

#

wait

#

quaint citrus Oct 18, 2023, 1:01 PM

#

,rcw

woven radishBOT Oct 18, 2023, 1:01 PM

#

stuck ether Oct 18, 2023, 1:02 PM

#

see what I mean

#

its lower than 4k

quaint citrus Oct 18, 2023, 1:03 PM

#

Hmm

stuck ether Oct 18, 2023, 1:07 PM

#

Im kind of confused because in the problem theres the word end and beginning at the same time

#

<@&286206848099549185>

stuck ether Oct 18, 2023, 1:16 PM

#

stuck ether

I am really confused in this problem

#

<@&286206848099549185> ?

plucky sapphire Oct 18, 2023, 1:18 PM

#

the beginning of january means that the entire month of january should be counted

#

and the end of april means that the entire month must be counted as well

#

so the total time is 4 months

stuck ether Oct 18, 2023, 1:18 PM

#

so what formula do I use?

plucky sapphire Oct 18, 2023, 1:19 PM

#

stuck ether

here

stuck ether Oct 18, 2023, 1:19 PM

#

yess I already get that

plucky sapphire Oct 18, 2023, 1:19 PM

#

just use the compound interest formula and keeping the number of months to be 4

stuck ether Oct 18, 2023, 1:19 PM

#

woven radish

like this?

plucky sapphire Oct 18, 2023, 1:20 PM

#

woven radish

yes but since it is compounded monthly the time is not 4/12

#

it is only 4

#

i would have been 4/12 if it was compounded yearly

stuck ether Oct 18, 2023, 1:21 PM

#

ahh okey let me try that

#

its to large

plucky sapphire Oct 18, 2023, 1:22 PM

#

yep

stuck ether Oct 18, 2023, 1:23 PM

#

is it really 50931.21??

plucky sapphire Oct 18, 2023, 1:23 PM

#

probably

#

wait what

#

no

stuck ether Oct 18, 2023, 1:23 PM

#

stuck ether is it really 50931.21??

the value is to big

plucky sapphire Oct 18, 2023, 1:23 PM

#

yep

#

wait

#

the answer is 1125.51

stuck ether Oct 18, 2023, 1:28 PM

#

what??

#

why is it lower than 4k??

plucky sapphire Oct 18, 2023, 1:29 PM

#

it is meant to be lower than 4k

#

why would it be higher?

#

ohhhhh

#

nvm

#

sorry

#

my fault

stuck ether Oct 18, 2023, 1:31 PM

#

hmm this problem is kind of tricky

plucky sapphire Oct 18, 2023, 1:31 PM

#

yep

plucky sapphire Oct 18, 2023, 1:32 PM

#

woven radish

can you check your caqlculations again

#

if you used the right values

stuck ether Oct 18, 2023, 1:33 PM

#

woven radish

is there a wrong value??

#

is 16060.1 the answer

#

or 4015.025

#

hmm I still not sure to my answer

devout snowBOT Oct 18, 2023, 1:56 PM

#

@stuck ether Has your question been resolved?

#

Channel closed

Closed by @stuck ether

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

#

Channel closed

Channel closed due to the original message being deleted.
If you did not intend to do this, please open a new help channel,
as this action is irreversible, and this channel may abruptly lock.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

keen falcon Oct 18, 2023, 2:08 PM

#

A person tried by a three-judge panel is declared guilty if at least two judges cast votes
of guilty (i.e. a majority verdict).
Suppose that when the defendant is in fact guilty, each judge will independently vote
guilty with probability 0.85, whereas when the defendant is in fact not guilty (i.e.
innocent), this probability drops to 0.25.
1
If 70% of defendants are guilty, compute the conditional probability that judge number
3 votes guilty given that:
(a) judges 1 and 2 vote guilty

devout snowBOT Oct 18, 2023, 2:08 PM

#

keen falcon A person tried by a three-judge panel is declared guilty if at least two judges ...

#

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

keen falcon Oct 18, 2023, 2:13 PM

#

step number 2

devout snowBOT Oct 18, 2023, 2:28 PM

#

@keen falcon Has your question been resolved?

keen falcon Oct 18, 2023, 2:30 PM

#

.close

devout snowBOT Oct 18, 2023, 2:30 PM

#

Channel closed

Closed by @keen falcon

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

brazen void Oct 18, 2023, 2:40 PM

#

Divide( 2x^3+54) by (x−3) using long polynomial division

devout snowBOT Oct 18, 2023, 2:40 PM

#

brazen void Divide( 2x^3+54) by (x−3) using long polynomial division

brazen void Oct 18, 2023, 2:42 PM

#

im stuck idk where to begin at all

wild creek Oct 18, 2023, 2:44 PM

#

did you try to read your course material about long division?

#

on polynomials

brazen void Oct 18, 2023, 2:46 PM

#

my teach havent teach it yet

wild creek Oct 18, 2023, 2:48 PM

#

how are you supposed to do something you havent learned

brazen void Oct 18, 2023, 2:48 PM

#

idk bro she said practice at home

#

idk even know where to put the 0's here

#

im actually mentally block

wild creek Oct 18, 2023, 2:49 PM

#

https://www.youtube.com/watch?v=_FSXJmESFmQ

YouTube

The Organic Chemistry Tutor

Long Division With Polynomials - The Easy Way!

This video tutorial explains how to perform long division of polynomials with remainder and with missing terms. It's explains how to do long division easily and it provides the step by step process to get it done. Basically, there are 3 steps that you have to repeat. 1. Divide 2. Multiply 3. Subtract This video contains plenty of ex...

▶ Play video

#

the internet is wide

brazen void Oct 18, 2023, 2:49 PM

#

alr watched that

#

it didnt describe where to put the 0's

wild creek Oct 18, 2023, 2:49 PM

#

what zeros?

#

if you tried something

#

pls show

#

and show which zero you are talking about

brazen void Oct 18, 2023, 2:52 PM

#

this 0

wild creek Oct 18, 2023, 2:53 PM

#

0x^3?

#

and 0x?

brazen void Oct 18, 2023, 2:53 PM

#

0x

#

#

like the no2

wild creek Oct 18, 2023, 2:55 PM

#

cant see in you photo

#

but those $0x^3$ and $0x$ are there so that the guy shows you that the coefficient for these powers of x is 0

woven radishBOT Oct 18, 2023, 2:56 PM

#

Benjamin

wild creek Oct 18, 2023, 2:56 PM

#

but you dont need it

brazen void Oct 18, 2023, 2:57 PM

#

wait what

#

thought we supposed to use 0x to fill out the missing number

#

naw im actually trippin

#

answer supposed to be like this i just need to know the solution

wild creek Oct 18, 2023, 3:02 PM

#

wolfram alpha exists if you just want answers

#

you dont need this discord

brazen void Oct 18, 2023, 3:02 PM

#

i need the solution lol thats why im here

#

need help on how to solve this cuz my teacher just gave an assign and dip out

wild creek Oct 18, 2023, 3:02 PM

#

,w long division (2x^3 +54) by (x-3)

woven radishBOT Oct 18, 2023, 3:02 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

wild creek Oct 18, 2023, 3:03 PM

#

2x^2 +6x +18

#

remainder is 108

#

now if you want to learn i can help you

brazen void Oct 18, 2023, 3:03 PM

#

yes

#

pls

#

i think u can do better than my math teach

wild creek Oct 18, 2023, 3:04 PM

#

so pls take a better photo

#

of your working out

#

i cant see

#

or explain clearly what you dont understand

#

im not in your head

#

i cant know

brazen void Oct 18, 2023, 3:05 PM

#

heres the questions alr solved the 1 and 2 im just stuck at 3

wild creek Oct 18, 2023, 3:05 PM

#

ok

brazen void Oct 18, 2023, 3:05 PM

#

lemme take a photo of 1 and 2 wait a min

#

my handwriting is kinda bad imo just adjust lol

rn_image_picker_lib_temp_ffab76af-0ff1-47df-9373-b70444ba5039.jpg

wild creek Oct 18, 2023, 3:13 PM

#

once you are here

#

you only need to subtract

#

right?

brazen void Oct 18, 2023, 3:18 PM

#

yes

#

Divide 2. Multiply 3. Subtract

#

mb for late reply was trying to solve it

wild creek Oct 18, 2023, 3:19 PM

#

yeah so re do it i think you know how to subtract

brazen void Oct 18, 2023, 3:19 PM

#

ok wait the mental block is not mental blocking anymore

#

lemme try to solve it

#

#

i think i got it?

#

tried to copied on what i did in no2

wild creek Oct 18, 2023, 3:25 PM

#

ok

#

nice

brazen void Oct 18, 2023, 3:25 PM

#

thanks alot dude

#

.close

devout snowBOT Oct 18, 2023, 3:25 PM

#

Channel closed

Closed by @brazen void

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

velvet python Oct 18, 2023, 3:28 PM

#

Shoot is someone here i need help with long and synthetic division

devout snowBOT Oct 18, 2023, 3:28 PM

#

velvet python Shoot is someone here i need help with long and synthetic division

velvet python Oct 18, 2023, 3:29 PM

#

I have an equation labeled (3x^3-x+1+7x^2) ÷ (3x+1)

#

I seem to get stuck when i finally get the partial quotient and solve it against the -x

static oracle Oct 18, 2023, 3:32 PM

#

can you show me your work?

velvet python Oct 18, 2023, 3:33 PM

#

Oh its going wrong alright hahahahaha

#

fuck wait

static oracle Oct 18, 2023, 3:33 PM

#

yep

#

hopefully I'll figure out where you went wrong

velvet python Oct 18, 2023, 3:34 PM

#

Ah theres even the synthetic one that had a remainder of 29

static oracle Oct 18, 2023, 3:34 PM

#

wait let me try synthetic

#

you're not supposed to have a remainder

velvet python Oct 18, 2023, 3:36 PM

#

rn_image_picker_lib_temp_53db392b-e65a-4243-b58b-414c589efaf9.jpg

velvet python Oct 18, 2023, 3:36 PM

#

static oracle you're not supposed to have a remainder

I know

#

I dont even know if the long one is correct

static oracle Oct 18, 2023, 3:36 PM

#

um rearrange the equation first

#

in the order of decreasing exponents

velvet python Oct 18, 2023, 3:37 PM

#

Theres more that went even worse than this

velvet python Oct 18, 2023, 3:38 PM

#

static oracle in the order of decreasing exponents

im sorry you have to do that?

static oracle Oct 18, 2023, 3:38 PM

#

velvet python _im sorry you have to do that?_

yes always

#

the dividend is 3x^3+7x^2-x+1

#

then divide that by 3x+1

#

the rest should be simple

velvet python Oct 18, 2023, 3:39 PM

#

How did you even get the synthetic version of 3x+1

#

How did mine turn to one half

static oracle Oct 18, 2023, 3:40 PM

#

not kne hlaf

#

you need to equate it with 0

#

3x+1 =0

#

and solve for x

#

which is -1/3

#

that's what you use for synthetic division

velvet python Oct 18, 2023, 3:40 PM

#

Everyone in the comments said divide everything by 2 just so long as the x is remaining and you're left with a number after equals

velvet python Oct 18, 2023, 3:41 PM

#

static oracle that's what you use for synthetic division

Oh thanks

static oracle Oct 18, 2023, 3:42 PM

#

velvet python Everyone in the comments said divide everything by 2 just so long as the x is re...

I'm not sure what that means but I can say you don't always need to divide by 2

velvet python Oct 18, 2023, 3:43 PM

#

Just so long as whatever number is with x divide it with the same number to remove that number so x remains

#

Also whats 4 divided by 3x now

static oracle Oct 18, 2023, 3:43 PM

#

I'm pretty sure you don't need to divide 4 by 3x

#

in this one

static oracle Oct 18, 2023, 3:44 PM

#

velvet python Just so long as whatever number is with x divide it with the same number to remo...

in 3x+1 it's 3 not 2

#

?

velvet python Oct 18, 2023, 3:44 PM

#

static oracle in 3x+1 it's 3 not 2

y e a

static oracle Oct 18, 2023, 3:45 PM

#

getting it?

velvet python Oct 18, 2023, 3:45 PM

#

Wait im already lagging just wait a bit

velvet python Oct 18, 2023, 3:45 PM

#

static oracle I'm pretty sure you don't need to divide 4 by 3x

Also w a t

static oracle Oct 18, 2023, 3:45 PM

#

show me when it's done

velvet python Oct 18, 2023, 3:45 PM

#

I cant just leave it there

static oracle Oct 18, 2023, 3:45 PM

#

I tried and there was no remainder

#

there was no 4 at all

velvet python Oct 18, 2023, 3:46 PM

#

Im gonna try again

static oracle Oct 18, 2023, 3:46 PM

#

yep

velvet python Oct 18, 2023, 3:47 PM

#

you dont have a 3x squared?

static oracle Oct 18, 2023, 3:48 PM

#

velvet python you dont have a 3x squared?

in quotient?

#

nop

velvet python Oct 18, 2023, 3:48 PM

#

Ye a

static oracle Oct 18, 2023, 3:48 PM

#

wait wait

velvet python Oct 18, 2023, 3:48 PM

#

F u ck first thing midnight wrong thing alredy

static oracle Oct 18, 2023, 3:49 PM

#

you already have 3 in your divisor so you don't need 3 anymore

#

just x^2

static oracle Oct 18, 2023, 3:49 PM

#

velvet python F u ck first thing midnight wrong thing alredy

relax

#

just try again

#

doing long division rn right

velvet python Oct 18, 2023, 3:50 PM

#

Yeah so im left with a whole seven afterwards

#

Unless, x^2 times 1 leads to it becoming 2x somewhere

static oracle Oct 18, 2023, 3:52 PM

#

in the 2nd step you need to multiply by 2x

velvet python Oct 18, 2023, 3:53 PM

#

Damn

static oracle Oct 18, 2023, 3:55 PM

#

why don't you watch a tutorial on yt?

velvet python Oct 18, 2023, 3:57 PM

#

I tried

#

I didnt get anything

#

It just made me even more confused

#

Damn it i didnt even know how the venn diagram thing worked since i kept getting a negative answer where im not supposed to

#

Wait is it even possible to get an x-x in the answer

static oracle Oct 18, 2023, 4:05 PM

#

velvet python Damn it i didnt even know how the venn diagram thing worked since i kept getting...

now you're doing venn diagrams?

velvet python Oct 18, 2023, 4:05 PM

#

Well this ended up devolving again theres too many of them already

velvet python Oct 18, 2023, 4:05 PM

#

static oracle now you're doing venn diagrams?

A while back but for now since this is the one question i can clear this for now

#

Whoops

rn_image_picker_lib_temp_114ebe81-32cd-4798-820a-96a2b584e43a.jpg

#

Welp sorry about that

static oracle Oct 18, 2023, 4:07 PM

#

hm?

#

what grade are you in btw

velvet python Oct 18, 2023, 4:08 PM

#

Worse question to ask

static oracle Oct 18, 2023, 4:08 PM

#

why

velvet python Oct 18, 2023, 4:08 PM

#

somehow in college

#

IM PRETTY SURE U LEARN THIS AT 7TH GRADE

#

and yes i did learn about this but somehow i forgot

static oracle Oct 18, 2023, 4:08 PM

#

velvet python somehow in college

wtf

#

ah

#

you know what

#

first focus

#

seeing your work

velvet python Oct 18, 2023, 4:09 PM

#

static oracle wtf

Okay i know its bad and im also wondering how the fuck im here

static oracle Oct 18, 2023, 4:09 PM

#

makes me think you're not into it at all

velvet python Oct 18, 2023, 4:09 PM

#

static oracle seeing your work

M e s s y

static oracle Oct 18, 2023, 4:09 PM

#

no no

#

at some places you forgot to copy down the x

velvet python Oct 18, 2023, 4:09 PM

#

F

static oracle Oct 18, 2023, 4:09 PM

#

that's what's been wrong

#

is it like a hw?

velvet python Oct 18, 2023, 4:10 PM

#

yea

static oracle Oct 18, 2023, 4:10 PM

#

due some time soon

#

oh

#

you still have time?

#

if then I suggest go do smth else to lighten your brain

#

for a bit

velvet python Oct 18, 2023, 4:10 PM

#

static oracle you still have time?

Oh i have a lot

static oracle Oct 18, 2023, 4:12 PM

#

velvet python Whoops

the last one on the right is on the right track tho

velvet python Oct 18, 2023, 4:12 PM

#

What last one theres too many of them since i didnt even know what x^2 times one is

static oracle Oct 18, 2023, 4:13 PM

#

x^2 times 1 is x^2

#

anything times 1 is that same anything

velvet python Oct 18, 2023, 4:14 PM

#

Thank god i just started to doubt about that

static oracle Oct 18, 2023, 4:14 PM

#

never question math

velvet python Oct 18, 2023, 4:14 PM

#

Hold on let me check what went right

static oracle Oct 18, 2023, 4:14 PM

#

hm

#

got it?

velvet python Oct 18, 2023, 4:19 PM

#

How do u get rid of the one -x

#

And the rest of them

#

Unless since theres no way just slap it on top

static oracle Oct 18, 2023, 4:20 PM

#

your dms open?

velvet python Oct 18, 2023, 4:20 PM

#

Yea

static oracle Oct 18, 2023, 4:21 PM

#

I don't think I'm allowed to send ans here so

velvet python Oct 18, 2023, 4:21 PM

#

I dont know hwo this place works either ill be honest

static oracle Oct 18, 2023, 4:22 PM

#

yea

velvet python Oct 18, 2023, 4:23 PM

#

Ha

#

rn_image_picker_lib_temp_8382f4fa-7b26-431a-8dab-9293b0d85134.jpg

#

So thats what happened how did i get stuck

static oracle Oct 18, 2023, 4:23 PM

#

no you need to copy the -×

#

in the 2nd step

velvet python Oct 18, 2023, 4:24 PM

#

.close

devout snowBOT Oct 18, 2023, 4:24 PM

#

Channel closed

Closed by @velvet python

Use .reopen if this was a mistake.

velvet python Oct 18, 2023, 4:24 PM

#

Its fine now

devout snowBOT Oct 18, 2023, 4:25 PM

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

karmic garden Oct 18, 2023, 4:43 PM

#

Sorry for my bad English I'm french , so the thing is that when I frame(Encadre in my language) I have impossible things like 20,9<-2x+3y<20,7 But how can 20,7 be > yo 20,9 what did I've done wrong

devout snowBOT Oct 18, 2023, 4:43 PM

#

karmic garden Sorry for my bad English I'm french , so the thing is that when I frame(Encadre ...

dapper tiger Oct 18, 2023, 4:52 PM

#

-4 < x < -3 donc 6 < -2x < 8
12,9 < 3y < 14,7
donc tu sommes tes deux inégalités et t'as
18,9 < -2x+3y < 22,7

karmic garden Oct 18, 2023, 4:54 PM

#

Ah on inverse directement merci !

#

.close

devout snowBOT Oct 18, 2023, 4:55 PM

#

Channel closed

Closed by @karmic garden

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

daring nebula Oct 18, 2023, 5:01 PM

#

Linda thought of a natural number and then added a 5 to the left and an 8 to the right in the number representation. This increased the number Linda thought of by 518215.

Find the number Linda thought of and explain why it is uniquely determined.

devout snowBOT Oct 18, 2023, 5:01 PM

#

daring nebula Linda thought of a natural number and then added a 5 to the left and an 8 to the...

daring nebula Oct 18, 2023, 5:02 PM

#

i dont know what to do next

#

i have
5ABCD8
-518215

#

but my teacher asked me why i did ABCD and not ABCDE (i have to explain why although it is correct wyipee_sob )

#

and i dont know how to subtract a number from a letter

#

<@&286206848099549185>

frozen aurora Oct 18, 2023, 5:17 PM

#

try to abstract yourself away from digits for a sec. let x be the number you are looking for. how do we represent the transformation described in the problem

devout snowBOT Oct 18, 2023, 5:29 PM

#

@daring nebula Has your question been resolved?

daring nebula Oct 18, 2023, 5:32 PM

#

frozen aurora try to abstract yourself away from digits for a sec. let x be the number you are...

so what do u suggest i do? do you mean x - 518215? if im understanding it correctly

frozen aurora Oct 18, 2023, 5:33 PM

#

not really

#

notice that adding 8 to the end is the same as doing ||x*10 + 8||

daring nebula Oct 18, 2023, 5:34 PM

#

OH

#

so D=10 or 100?

frozen aurora Oct 18, 2023, 5:36 PM

#

what's D?

daring nebula Oct 18, 2023, 5:36 PM

#

i mean like in 5ABCD8

#

the F

#

D*

frozen aurora Oct 18, 2023, 5:37 PM

#

frozen aurora try to abstract yourself away from digits for a sec. let x be the number you are...

forget about digits for now

#

adding 5 to the front of $x$ and adding 8 to the end is the same as $5\cdot10^{k+1}+x\cdot10+8$ where $k$ is the number of digits in $x$

#

now, you get that the increase from x to that number above is 518215

#

so 5*10^(k+1) + x*10 + 8 = x + 518215

daring nebula Oct 18, 2023, 5:41 PM

#

ohh

frozen aurora Oct 18, 2023, 5:41 PM

#

and you can easily figure out what k is equal to from this

woven radishBOT Oct 18, 2023, 5:42 PM

#

artemetra

daring nebula Oct 18, 2023, 5:48 PM

#

sorry i still dont quite understand could u help me out a bit more? super sorry if im being annoying

supple knot Oct 18, 2023, 5:49 PM

#

daring nebula sorry i still dont quite understand could u help me out a bit more? super sorry ...

understanding what

daring nebula Oct 18, 2023, 5:49 PM

#

woven radish **artemetra**

^

daring nebula Oct 18, 2023, 5:52 PM

#

supple knot understanding what

how to solve for k

#

cause i got something

#

questionable

supple knot Oct 18, 2023, 5:55 PM

#

daring nebula questionable

!show

devout snowBOT Oct 18, 2023, 5:55 PM

#

daring nebula questionable

Show your work, and if possible, explain where you are stuck.

daring nebula Oct 18, 2023, 5:56 PM

#

daring nebula Linda thought of a natural number and then added a 5 to the left and an 8 to the...

this was the original question

#

and for k i got

k=log(-9x/5 + 518215/5) -1

supple knot Oct 18, 2023, 6:04 PM

#

daring nebula and for k i got k=log(-9x/5 + 518215/5) -1

show howyou got your answer

frozen aurora Oct 18, 2023, 6:05 PM

#

daring nebula and for k i got k=log(-9x/5 + 518215/5) -1

note the original restriction on k

#

it must be a positive integer, so no need for logs

frozen aurora Oct 18, 2023, 6:06 PM

#

frozen aurora so 5\*10^(k+1) + x*10 + 8 = x + 518215

so here you are adding 5*10^(k+1) to (x with 8 in front) and that results in an increase from (x) to 518215

#

notice that 5*10^(k+1) and 518215 have same leading digits. does that help anyhow?

daring nebula Oct 18, 2023, 6:07 PM

#

OH

#

I THINK I GOT IT NOW

frozen aurora Oct 18, 2023, 6:09 PM

#

let's goo

#

spoiler: the value of x is very nice

daring nebula Oct 18, 2023, 6:14 PM

#

i got 2023

frozen aurora Oct 18, 2023, 6:14 PM

#

mhm

daring nebula Oct 18, 2023, 6:14 PM

#

but i dont know

frozen aurora Oct 18, 2023, 6:14 PM

#

correct

daring nebula Oct 18, 2023, 6:14 PM

#

IT IS!?@?!?

frozen aurora Oct 18, 2023, 6:14 PM

#

yep

daring nebula Oct 18, 2023, 6:14 PM

#

TGANK YOU SO MUCH

frozen aurora Oct 18, 2023, 6:15 PM

#

no problem haha

daring nebula Oct 18, 2023, 6:15 PM

#

was that the number she thought of then??

frozen aurora Oct 18, 2023, 6:15 PM

#

yes

#

you are done

#

daring nebula Oct 18, 2023, 6:16 PM

#

THANK YOI

#

.close

devout snowBOT Oct 18, 2023, 6:16 PM

#

Channel closed

Closed by @daring nebula

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

cyan flame Oct 18, 2023, 6:39 PM

#

A train and a dog parallel to each other from the same points at same time start running at 216kmph and 21.6 kmph respectively. if the length of train is 180 m , find in how much time will the train surpass the dog completely.

devout snowBOT Oct 18, 2023, 6:39 PM

#

cyan flame A train and a dog parallel to each other from the same points at same time start...

cyan flame Oct 18, 2023, 6:39 PM

#

plz solve this one

opaque haven Oct 18, 2023, 6:41 PM

#

for the dog to be behind the train it would have to be exactly 180m behind the train, correct?

cyan flame Oct 18, 2023, 6:42 PM

#

wait

#

a sec plz

pulsar oracle Oct 18, 2023, 6:42 PM

#

could it be 3.33....s?

cyan flame Oct 18, 2023, 6:42 PM

#

ya correct

#

how?

#

plz share

pulsar oracle Oct 18, 2023, 6:43 PM

#

1 minute I'll type it

cyan flame Oct 18, 2023, 6:43 PM

#

okk

#

??

pulsar oracle Oct 18, 2023, 6:47 PM

#

Train speed = 216 kmph => 60 m/s
Dog speed = 21.6 kmph => 6m/s

Using the forula to measure distance traveled:
X0 + V0*t + A0*t*t/2 = d

we can say that the starting acceleration (A0) = 0, so that is no longer part of the equation 

so The distance traveled by the train:
Starting distance X0 = 0
=> d = V0*t <=> d = 60m/s * t

For the dog, who has a starting position of 180m relative to the train
=> d = 180m + 6m/s * t

now we calculate when they pass eachother:

180m + 6m/s*t = 60m/s*t
=> calculate for t => t = 3.33..s

cyan flame Oct 18, 2023, 6:48 PM

#

thanks very much

#

one more problem

pulsar oracle Oct 18, 2023, 6:48 PM

#

yea?

cyan flame Oct 18, 2023, 6:49 PM

#

WhatsApp_Image_2023-10-19_at_00.17.51.jpeg

#

hello?

pulsar oracle Oct 18, 2023, 6:51 PM

#

yea i'm lookin

cyan flame Oct 18, 2023, 6:51 PM

#

thanks

pulsar oracle Oct 18, 2023, 6:51 PM

#

been a while since i've done trigonometry

cyan flame Oct 18, 2023, 6:51 PM

#

ohh

#

no worries

#

take your time

cyan flame Oct 18, 2023, 6:54 PM

#

cyan flame A train and a dog parallel to each other from the same points at same time start...

can this question be done without using relative velocity?

#

I am a school grader so relative velocity out of my concept

pulsar oracle Oct 18, 2023, 6:55 PM

#

I see

cyan flame Oct 18, 2023, 6:55 PM

#

i tried doing it myself but my teacher said that my ans is wrong

#

i am sharing my answer , plz look into it

pulsar oracle Oct 18, 2023, 6:56 PM

#

uhm i gues you could also say that the train is going 54 kmph faster than the dog, so you just have to calculate the time in which you have travelled 180m whilst going at 54m/s

cyan flame Oct 18, 2023, 6:58 PM

#

nope

#

wait i am solving

pulsar oracle Oct 18, 2023, 7:00 PM

#

cyan flame

i can find the angle but not sin(xµ)

lavish nimbus Oct 18, 2023, 7:00 PM

#

cyan flame

Are there any formulas that you can come up with then solving trigonometry algebra?

cyan flame Oct 18, 2023, 7:00 PM

#

wait for 2 mins

pulsar oracle Oct 18, 2023, 7:01 PM

#

with the t formulas you can find the angle

#

t = 1/3 => tan(x/2) = 1/3

cyan flame Oct 18, 2023, 7:05 PM

#

WhatsApp_Image_2023-10-19_at_00.34.54.jpeg

#

sorry for being late...

#

plz check it once

#

are you checking?

pulsar oracle Oct 18, 2023, 7:07 PM

#

cyan flame

could sin be 9/15?

cyan flame Oct 18, 2023, 7:09 PM

#

i am not sure

#

thats why i am asking you

pulsar oracle Oct 18, 2023, 7:09 PM

#

i'll send you my math

#

but imma write it down properly 1 min

cyan flame Oct 18, 2023, 7:09 PM

#

ok

#

brother i guess sinΘ = 3/5

#

i tried for error and trial method

#

i guess thats correct ans

cyan flame Oct 18, 2023, 7:16 PM

#

cyan flame

plz check my method too

#

whether its correct or not

pulsar oracle Oct 18, 2023, 7:17 PM

#

#

the method i used is quiet elaborate

pulsar oracle Oct 18, 2023, 7:19 PM

#

cyan flame

yea that is right

cyan flame Oct 18, 2023, 7:19 PM

#

thanks

pulsar oracle Oct 18, 2023, 7:21 PM

#

pulsar oracle

I made an error

cyan flame Oct 18, 2023, 7:24 PM

#

brother

#

one more problem

pulsar oracle Oct 18, 2023, 7:27 PM

#

ye

cyan flame Oct 18, 2023, 7:30 PM

#

a sec

#

WhatsApp_Image_2023-10-19_at_01.03.19.jpeg

#

are you solving?

#

hello brp

pulsar oracle Oct 18, 2023, 7:38 PM

#

it's b

cyan flame Oct 18, 2023, 7:39 PM

#

how?

pulsar oracle Oct 18, 2023, 7:39 PM

#

i'm writing it down

cyan flame Oct 18, 2023, 7:39 PM

#

ok

pulsar oracle Oct 18, 2023, 7:42 PM

#

cyan flame Oct 18, 2023, 7:45 PM

#

thankyou very much

#

you are genius

pulsar oracle Oct 18, 2023, 7:45 PM

#

hahaha it's just experience

cyan flame Oct 18, 2023, 7:45 PM

#

can you help with physics numericals too

cyan flame Oct 18, 2023, 7:46 PM

#

pulsar oracle hahaha it's just experience

i mean whats your age that you have gained so much exprience?

pulsar oracle Oct 18, 2023, 7:46 PM

#

cyan flame can you help with physics numericals too

sure

cyan flame Oct 18, 2023, 7:46 PM

#

omg!

#

I am 15