help-0

[zenith tinsel]

equation is 150-0.5=120+0.25

[echo socket]

I think you forget the 's'?

[zenith tinsel]

wdym?

[echo socket]

It's 150 - 0.5s = 120 + 0.25s

[zenith tinsel]

lemme add part A

[zenith tinsel]

well yeah

the boxes are just asking for the numbers

then part b is asking

[echo socket]

So now you need to solve the equation

[zenith tinsel]

thats the part i dont get

[echo socket]

Move 's'-s to one side and everything else on the other side

[zenith tinsel]

single out the variable

alright

[echo socket]

In this case you should get 150 - 120 = 0.5s + 0.25s

Yes

[zenith tinsel]

okay so then do basic subtraction

which is

30 = .30

[echo socket]

30 = 0.75s

[zenith tinsel]

right sorry

meaning at 30 gallons they'd be at the same amount?

[echo socket]

No

[zenith tinsel]

i mean 0.75 seconds

[echo socket]

You need to solve for s here

[zenith tinsel]

alright

[echo socket]

0.75s = 30
s = 30/0.75 = 40

So the tanks will have the same volume after 40 seconds

[zenith tinsel]

ohh

that makes sense

thank you!!

.close

[lone heart]

Channel closed

Closed by @zenith tinsel

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.

[alpine sable]

need help with
x = -2
4x + 10

[dim sail]

You have to evaluate the expression?

[alpine sable]

mate english i suck at math

all i know is that x is -2

[dim sail]

And you have to find value of 4x+10?

[sour dove]

what he's saying is do you want to solve 4x + 10 when x = -2?

[alpine sable]

Yes

[sour dove]

okay so we can do a direct substitution here. x = -2 means that 4(-2) + 10. So what is 4 * -2?

[alpine sable]

2?

[sour dove]

are you answering that as 4(-2) + 10 or as 4 * -2?

[alpine sable]

4 * -2 = 2

or am i wrong

[sour dove]

no

what is 4 * 2?

[dim sail]

• represents multiplication

[alpine sable]

8

[sour dove]

okay so what is 8 * -1?

[alpine sable]

-8?

[sour dove]

yep bingo!

so if have something like 4 * -2, it's the same thing as (4 * 2) * -1

in other words, 4 * -2 = -8

[alpine sable]

so 4(-2) + 10 = -8

[sour dove]

no

4(-2) = -8

[alpine sable]

oh

• 10

[sour dove]

yes. So what is -8 + 10?

[alpine sable]

-18?

[sour dove]

no that would be -8 - 10

what is 10 - 8?

[alpine sable]

2?

[sour dove]

yep!

10 - 8 = -8 + 10 = 2

that's called being "communative"

a + b = b + a

[alpine sable]

yeah

[sour dove]

so in other words, if you ever see something like -a + b, it's the same thing as b - a

[alpine sable]

but -8 + 10 = 18?

yeah

[sour dove]

no it's 2

[alpine sable]

so answer will just be 2

[sour dove]

it's the same thing

yes

[alpine sable]

4(-2) + 10 = 2

[sour dove]

yes correct

[alpine sable]

damn wish i was blessed with math in my head lmao

cause like the - trips my head

i had another one i got right on that was
4x + 10
x=10
i just took 4 * 10 = 40 + 10 = 50

[sour dove]

yep that's exactly right!

[alpine sable]

yeah but its harder for me when its -

[sour dove]

if you need some practice this should help

https://www.youtube.com/watch?v=NQSN00zL5gg&ab_channel=KhanAcademy

[alpine sable]

oo ill watch that

[sour dove]

https://www.youtube.com/watch?v=47wjId9k2Hs&ab_channel=KhanAcademy

https://www.youtube.com/watch?v=d8lP5tR2R3Q&ab_channel=KhanAcademy

https://www.youtube.com/watch?v=rK4sXm_MPWo&ab_channel=KhanAcademy

those 4 videos will give you a lot to work with

get these down and math becomes much easier on you 🙂

[alpine sable]

yeah

cause teacher said this year and next year will be like only algebra

and i got enough problems with multiplication

[sour dove]

yep

so knowing multiplication and addition rules for negative numbers will help you greatly there

[alpine sable]

yes thank you for helping me

[sour dove]

np@

best of luck!

[alpine sable]

thank you

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

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.

[inner marsh]

Hi I need help

[royal plank]

where exactly?
What have you done thus far?

[inner marsh]

I do the 1

[inner marsh]

But the other I cant do it

[royal plank]

What is 2 in english?

[inner marsh]

Justify that the sequence Un is neither arithmetic nor geometric.

[royal plank]

You can use the results from 1 for that, try to check the differences between u(1). u(2) etc..

[lone heart]

@inner marsh Has your question been resolved?

[lone heart]

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.

[shell oyster]

My room just disappeared

[lone heart]

Please don't occupy multiple help channels.

[shell oyster]

Someone help me pls

Hi

:((

Someone

Help me

I have to sleep

<@&286206848099549185>

[lone heart]

@shell oyster Has your question been resolved?

[lone heart]

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.

[marsh kraken]

can anyone explain me this multiplication 😄

[daring siren]

Hi can someone please help me with this

[abstract fractal]

This channel is taken

[daring siren]

How do I know which one isn’t

[abstract fractal]

What's confusing you

[marsh kraken]

the multiplication part. two vector is getting multiplied right

[abstract fractal]

More like matrices

Or you can represent it as a dot product of two vectors

[marsh kraken]

i remember multiplication as, row 1 multiplied by row1,row2,.. rown

then row2 does same

but here its like row1row1 + row2row2

[abstract fractal]

You multiply the first row of the left matrix by the first column of the right matrix, and repeat for the second, third, etc

But there's only one row on the left and one column on the right

[marsh kraken]

hmm makes sense 😄

[lone heart]

@marsh kraken Has your question been resolved?

Channel closed

Closed by @marsh kraken

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.

[main void]

how do i find the value of [cos(600degrees)cot(2/3 rev)] csc theta

[main void]

.close

[lone heart]

Channel closed

Closed by @main void

Use .reopen if this was a mistake.

[main void]

.reopen

[lone heart]

✅

[lone heart]

@main void Has your question been resolved?

[main void]

.close

[lone heart]

Channel closed

Closed by @main 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.

[slow nebula]

need help with this q

[obsidian turret]

(a - c)/(b - d) = c/d right?

[slow nebula]

yh

[marsh rapids]

Write c and d as a function of a and b

[obsidian turret]

so you prove that the left is equal to the right

[slow nebula]

how do i express c and d as a function of a and b

[slow nebula]

yes but i dont know how to start

[marsh rapids]

There are only so many ways 2 fractions could be equal

[alpine nacelle]

c = da/b
so (a-c)/(b-d) = a(1-d/b)/(b-d)
= a(1/b * (b-d)/(b-d)) = a/b

[slow nebula]

hm ok

thanks you

.close

[lone heart]

Channel closed

Closed by @slow 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.

[cobalt ridge]

How to find prime factorization of 756 really fast

[obsidian turret]

divide it by 2 repeatedly

?

[cobalt ridge]

is there faster way

Cuz I have to do mentally

[mortal trellis]

no

[cobalt ridge]

There no way?

[mortal trellis]

repeatedly dividing by the smallest primes is the fastest way

[cobalt ridge]

F

Well it will work

But i got numbers like 19292893839389293992398293823929328302

[mortal trellis]

well prime factorizations are hard

most of the security on the internet is based on the assumption that factoring is hard

although they do use much bigger numbers of course

[cobalt ridge]

Ok thx for help btw

Maybe I will just have to upgrade my mental math capiabilities lol

.close

[lone heart]

Channel closed

Closed by @cobalt ridge

Use .reopen if this was a mistake.

[mortal trellis]

you'll never factor numbers like the above yourself

[lone heart]

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.

[molten lotus]

need help

[solemn juniper]

What's giving you issue?

[molten lotus]

idk how to start

i know it's the sum principle

[solemn juniper]

It should be easy enough to just make a tree diagram

[molten lotus]

well

not sure how to do that

[solemn juniper]

It's just drawing out all of the possible paths this small game could take

The first thing that happens is the die roll, so there are 6 branches, one for each possible result

If she rolls a 1, what are the possible results of her bag-grabbing?

[lone heart]

@molten lotus Has your question been resolved?

[lone heart]

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.

[alpine sable]

Have to find whether or not this is convergent. If it is, find the sum of the series

I tried the div test, it was inconclusive. It's not a geometric series, nor a telescoping, nor a p-series from what I can tell. The integral test does not work since it is not decreasing. My only option left is the comparison test I think, since that's all this homework covers. However, I am not sure how I find the sum of the series using that.

Any advice?

[gray isle]

how are you reaching the conclusion that it's not geometric

[alpine sable]

I tried finding a common ratio

didn't really work out given that the denominator goes from 6 to 36 to 1296, so its the previous squared. i believe that is called a factorial?

[gray isle]

where's 1296 coming from

[alpine sable]

oh

oops

ok so it is geometric

silly algebra error

thanks!

[gray isle]

you could also consider e^(2n) = (e^2)^n
and 6^(n+1) = 6 * 6^n

[alpine sable]

yeah thats too much algebra for my pea brain

as you can tell, i suck at it enough

thank you, though. i will keep it in mind and add it to my notes

.close

[lone heart]

Channel closed

Closed by @crude ginkgo

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.

[abstract yacht]

Can someone help please i don’t know how to do it thank you

[obsidian turret]

use proportions

[lone heart]

@abstract yacht Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

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 lynx]

How many btu's does it take to turn 24.8 f° ice into 5 pounds of steam?
I got 25,516.88 btu's but the instructor said it's about 31,000 what am I missing?

[alpine sable]

Hi

Hellp

What

[restive lynx]

What?

∆T is my change is temp

[lone heart]

@restive lynx Has your question been resolved?

[lone heart]

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.

[blazing rose]

how do i do error analysis in calculus?

[lyric stream]

do you have an example question

[lone heart]

@blazing rose Has your question been resolved?

[blazing rose]

yeah 1 sec

[dawn saddle]

So to get the percentage error of the side u do Ds/S x 100

But how do u calculate the percentage error of the area with just that info

nevermind got it

[lone heart]

@blazing rose Has your question been resolved?

[lone heart]

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.

[jovial elm]

hello can someone help me with this ?

[vernal widget]

can someone help me pass my ged math test tomorrow. just need to go over a few things

[wary stream]

#❓how-to-get-help

[tacit arch]

Use process of elimination

[jovial elm]

what is that? can you explain it?

[wary stream]

Eliminate the options that are wrong

[keen plinth]

or are they right in this case

[lone heart]

@jovial elm Has your question been resolved?

[lone heart]

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.

[dapper sage]

idk how to even start with this

once i start it i'll be able to do it tho

[grim delta]

try plugging 31 in for f(x) and solve for x

[karmic cedar]

Im slow and i tried 💀💀

[grim delta]

then plug x into g(x) and then the result of g(x) back into f(x)

[dapper sage]

ok

[grim delta]

use one of the open help channels

[karmic cedar]

Lk

[coral vector]

160 dont use channels in use

[karmic cedar]

Ohhh

[dapper sage]

i got 1799 and i dont think thats the answer because that made it "f(k) = 1799" even tho f(k) is equal to 31

I got it, I just had to equal it to 31 and then it was the only negative solution

.close

[lone heart]

Channel closed

Closed by @dapper sage

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

Closed due to the original message being deleted

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.

[dreamy osprey]

it dosnt satisfy it though right?

[lone heart]

@dreamy osprey Has your question been resolved?

[dreamy osprey]

<@&286206848099549185>

[lyric stream]

why not ?

[dreamy osprey]

bs f(a) dosnt eqaul f(b)

or am I crazy

[lyric stream]

ok so is it 1) continuous on the closed interval

is it 2) differentiable on the open interval?

if it is

[dreamy osprey]

I think so

[lyric stream]

then we need to see for all values on hte interval [3, 5]

that f(a) = f(b)

and list them

[dreamy osprey]

wym

like plug in three and five and see if theyre equal?

[lyric stream]

urm is rolles theorem not like if f(a) = f(b) then f'(c) = 0 ?

its been a while since calc 1

[dreamy osprey]

maybe

[lyric stream]

ok so u need to see all values on the interval [3, 5]

that f(a) = f(b)

where 3 < a < 5

and a < b < 5

its a parabola (x^2) so that should help you

[dreamy osprey]

um

so if its a parabala

the y will hit twice

so that means its true

[lyric stream]

well not necessarily lol

if our interval was [0,1] it would be false

[dreamy osprey]

mk

[lyric stream]

lemme give u an example so like f(5) = -39 and f(3) = -39

so if a=3 and b=5 that satisifies rolles theorem

u are asked to find all values c

and u know f'(c) = 0

and its on the interval [3,5]

[dawn saddle]

can somene pls help me with related rates

[lone heart]

@dreamy osprey Has your question been resolved?

[lone heart]

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.

[sterile forge]

can someone help me with this

[sterile forge]

anyone ??

i only have 3 hours to solve this ;-;

and theres 4 question

its so hard for me

can someone help me here

pls

[lone heart]

@sterile forge Has your question been resolved?

[lone heart]

@sterile forge Has your question been resolved?

[lone heart]

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.

[vague coral]

what have you tried ?

[sterile totem]

So um what is 8m to in? idk anything

like how to solve it

[vague coral]

#❓how-to-get-help

[sterile totem]

i cant find the help-0😢

[vague coral]

._.
there are others channels that are available

[sterile totem]

oh ok thankss

[vague coral]

do you see everyone on this server in help_0

nice

[bold kayak]

oh

can someone help me with maths plz?

[vague coral]

rt

[lone heart]

@bold kayak Has your question been resolved?

[merry depot]

i'd try induction

[bold kayak]

Can you please help me by doing it? pleasee

[merry depot]

do you know how to do induction?

[bold kayak]

I know. first I have to basis step and then assumption, then induction and then conclusion

I am confused about doing the induction step

[merry depot]

what have you tried?

[bold kayak]

I have tried this

,rotate

[lone heart]

@bold kayak Has your question been resolved?

[dusty flame]

have you tried induction?

[bold kayak]

I did, but couldnt finish

I have sent picture abovr

[dusty flame]

i think you have done it wrong

[bold kayak]

Yeah. Can you please do it for me? Pleasee

[dusty flame]

sorry im currently busy finding help fo me

im sorry

but i whould suggest you to find someone and dm them privately to ask

[bold kayak]

Send me your problem. I might be able to solvre.

[dusty flame]

wait

https://discord.gg/Bx44ubhG

join here

and join the voice

if you are ok to talk

no

to eshuu

[bold kayak]

I cant talk right now. But which number do you need help in?

[dusty flame]

ok im sending here

can you solve this tahsin?

you baka siyam

[bold kayak]

Does the equation of fx ends with 6 or 5?

.close

[lone heart]

Channel closed

Closed by @bold kayak

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.

[visual spade]

are there any scenarios where I can't treat the inequality constraint as an equation when finding extrema using lagrange multipliers?

if so what are the conditions?

[lone heart]

@visual spade Has your question been resolved?

[visual spade]

<@&286206848099549185>

[lone heart]

@visual spade Has your question been resolved?

[lone heart]

@visual spade Has your question been resolved?

[long ferry]

Yes

[lone heart]

@visual spade Has your question been resolved?

[lone heart]

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.

[white rapids]

anyone help me understand if the equation is correct or not? its a positive slope but has a - mark in it so what does that mean? and do i keep using it as 10.4x+0.559 in the analysis?

[white rapids]

as in 10.4x + -0.559? thats not a negative sign?

oh wait so can a slope/line be positive even if the b value has a negative sign in front of it? like y=mx+(-b)

[lone heart]

@white rapids Has your question been resolved?

Channel closed

Closed by @white rapids

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.

[fallow wadi]

find a matrix A above field Z3 with the lowest number of lines possible, for such that Ker A = Im B, where B is following matrix above field Z3

[fallow wadi]

https://media.discordapp.net/attachments/1037437095008030782/1042782638940897354/unknown.png

[lone heart]

@fallow wadi Has your question been resolved?

[lone heart]

@fallow wadi Has your question been resolved?

[lone heart]

@fallow wadi Has your question been resolved?

[lone heart]

@fallow wadi Has your question been resolved?

[lone heart]

@fallow wadi Has your question been resolved?

[karmic cedar]

<@&286206848099549185>

[obsidian turret]

34+2x=68

both strings have to add up to 68

[lone heart]

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.

[boreal horizon]

If I have 15 balls in a bag, 3 red, 5 green, and 7 blue. I take out one each time, what’s the percentage of I take out all red balls before the bag is empty

[lunar bolt]

Let's say you write down the order in which the balls are taken out in a row like G,B,R,G,G,B,.....

Consider this row like a word with 15 letters where the letters can only be G,R or B
So to take out all red balls before the bag is empty, the last letter must be either G or B

[boreal horizon]

Yep

[lunar bolt]

Lets take case 1: when last letter is G

Then that letter would be fixed while the rest 14 letters could be moved forward or backward

[boreal horizon]

That’s true

[fallen verge]

or instead doing those cases, you can find the probability red is the last ball and then subtracting

[lunar bolt]

Those 14 letters would consist of 3 Rs, 4 Gs, & Bs

Yes I guess that too would work

[boreal horizon]

Can you explain a bit…

[lunar bolt]

If you fix last letter to be 'R', then the rest would be 2 Rs, 5 Gs, 7 Bs

[fallen verge]

you have two possibilities: the last letter is R or the last letter is not R
they add up to make a probability of 1
since it is easier to count the probability of ending with R, you do 1-that probability to get the probability of not ending with R

[lunar bolt]

To find how many ways you can arrange those letters is that you can do 14!/(2! × 5! × 7!)

Total no. of arrangements possible would be 15!/(3! × 5! × 7!)

Divide one by the other and then subtract the answer from 1, you'll get your answer

[boreal horizon]

Thanks

[lunar bolt]

The ans would be 80% chance

[boreal horizon]

For the factorial, the 15! is numerator or reverse

[lunar bolt]

Reverse

You take the total no. of possibilities in denominator

[boreal horizon]

k

[lone heart]

@boreal horizon Has your question been resolved?

[lone heart]

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.

[left copper]

Shaw’s carries two types of apple juice. One is 100% fruit juice, while the other is only
40% juice. Yesterday there was only one 48-ounce bottle of the 100% juice left. I bought it,
along with a 32-ounce bottle of the 40% juice. I am about to mix the contents of the two
bottles together. What percent of the mixture will be actual fruit juice? (Continuation) On second thought, I want the mixture to be at least 80% real fruit juice. How much of the 32-ounce bottle can I add to the mixture and be satisfied?

I only need help with the continuation. Thank you so much!

[left copper]

bro...I just see people typing in this channel and then skipping it 😭

please ping me if you decide to help, thanks!

[tribal haven]

so you already know the initial volume V and amount of juice J
can you set up an equation to solve the second problem?

[left copper]

that's the part I'm having trouble with

something = 0.8(48+32)

[tribal haven]

okay, so lets try to understand your goal

you want your final juice volume/final total volume=0.8, right?

[left copper]

wait volume?

no?

[tribal haven]

the amount of mixture in ounces

[left copper]

you want the mixture to be 80% real fruit juice

final juice percentage of real fruit juice = 0.8

[tribal haven]

right, so we can understand this as follows

$$\frac{\text{amount of juice}}{\text{amount of mixture}} \ge 0.8$$

correct?

[ocean seal]

IV

[left copper]

why is that side 0.8?

shouldn't it be 0.8(48+32)?

Since that is how you get the amount of ounces

istg if I'm getting ghosted again

[tribal haven]

0.8(48+32) is the amount in ounces

the amount of juice as a percentage is 0.8, or 80%

because percentages are represented as a number between 0 (for 0%) and 1 (for 100%)

[left copper]

yes

but you want the amount of ounces needed to be added from the 32 ounce bottle

ok nvm just go on

.

their gone

<@&286206848099549185> ????? Someone please help and not ghost me

[tribal haven]

alright, if you're willing to accept the inequality above, how would you represent the two quantities with numbers instead of words?

[left copper]

IV I thank you for helping me but you respond to me 3 minutes after

amount of mixture is 32+48 right

and then amount of juice is that but 48+0.4(32)

[tribal haven]

no, remember that a 32oz bottle is only 40% juice

[left copper]

just edited it

[tribal haven]

so you have the two quantities the other way around

[left copper]

ah

[tribal haven]

so, let the number of 32oz bottles be B, can you express those two quantities in terms of B?

[left copper]

Sorry?

can you please rephrase that

so like b(32)+48???

[tribal haven]

or x, it doesn't matter

because you're trying to find out the number of bottles you can add, so it would be helpful to represent it with a variable, then solve for it

yes, that would be the total amount of mixture

what amount the total amount of juice?

[left copper]

48+0.4(32)(b)

[tribal haven]

oh i think i got confused that time lol

the first one's for mixture, the second one should be juice

[left copper]

yea yea

[tribal haven]

and now you can substitute those expressions in the inequality above and solve for b

[left copper]

ok, thank you so so much!

[lone heart]

@left copper Has your question been resolved?

[lone heart]

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.

[tawdry fox]

Hi again! I'm being asked:

A factory makes 1200 ice creams in 9 days using 10 machines. How many ice creams can be made in 12 days using 5 machines?
Where do I start answering? I don't have a clue as to how I'd solve this.

[tribal haven]

part 1: how much icecream will 1 machine make in 9 days?
part 2: how much icecream will 1 machine make in 3 days?

[tawdry fox]

9 days: 120?
3 days: 40

[tribal haven]

yes, now can you attempt to answer the question using the answer above?

[tawdry fox]

800?

ohh, okay makes sense

thank you very much! :D

.close

[lone heart]

Channel closed

Closed by @tawdry fox

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.

[pastel island]

How are we getting this

[tribal haven]

Var[X] = E[X^2]-(E[X])^2 is the formula for variance

[pastel island]

right

but why are we using it here

[tribal haven]

because it lets you determine E[Y] since Y = Z^2 :p

[pastel island]

hmmm

I don't at all get the intuition behind it still sorry.

so we know that Y = g(z)

and that g(Z) = Z^2

how would you know this is what you have to do, from this information

[surreal meadow]

this is kind of a tricky one but you learn as you do these

look at this as a new technique for solving these problems

[tribal haven]

yeah this is i guess one of the tricks you eventually pick up

[pastel island]

hmm kk will do, thanks

any sites I can practise these?

[lone heart]

@pastel island Has your question been resolved?

[lone heart]

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.

[serene junco]

I think it's simpler to just calculate the x and y components and add them

@alpine sable

By θv, do you mean the angle of v?

Then yeah that's right

This is good, will work for any angle

You could make it negative. There's more than one angle that points in a given direction

-pi/2 and 3pi/2 both point straight down

And yes, they both work

for your formula

Because they both have the same sin and cos

Yeah, sin(-pi/2) = sin(3pi/2) = -1

[lone heart]

Channel closed

Closed by @covert tapir

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.

[wheat isle]

,rcw

[wheat isle]

Does part A just mean coordinates that are greater than 5 or something

[vale wigeon]

no

it means points whose distance from the origin is 5

[wheat isle]

so like 5,5?

[vale wigeon]

no, the distance from (0,0) to (5,5) is not 5.

[wheat isle]

oh wait

[vale wigeon]

also you cannot drop the parentheses when writing down the coordinates of a point.

[wheat isle]

units not coordinates

?

[vale wigeon]

i don't know what you mean by this.

[wheat isle]

alright ignore that

so 5 units from origin

just coordinates that are 5 units from (0,0)?

[vale wigeon]

yes, though now you've circled back to just repeating the problem statement.

[wheat isle]

but 5 units wouldnt be (5,5)?

[vale wigeon]

...

[wheat isle]

im just confused

[vale wigeon]

part a asks you: Find the locus of points (x,y) such that the distance from (x,y) to (0,0) equals 5 units.

you are overthinking it.

[wheat isle]

do any of the coordinates have 5 in them or no?

[vale wigeon]

knowing the answer to this question will not help you in the slightest.

also don't use the word "coordinate" to mean "point" please. when you use bad terminology you only confuse yourself further.

[wheat isle]

what about something like (2,3)?

[vale wigeon]

what about it?

[wheat isle]

would that equal 5 units? because it goes 2 across and 3 up?

[vale wigeon]

is the DISTANCE from (0,0) to (2,3) equal to 5?

[wheat isle]

no

[vale wigeon]

you definitely know how to calculate the distance between two points.

i have seen you do it before.

[wheat isle]

ohhh

[vale wigeon]

ok then you've answered your own question

[wheat isle]

we are using distance formula?

[vale wigeon]

why WOULDN'T we use the distance formula to calculate distance??????

at the risk of stating the very very obvious,
the distance formula literally gives you the distance

all of this is not to mention that the problem has a very clear GEOMETRIC interpretation...

since, yknow

"the set of all points at a fixed distance from a center point" is a big enough deal that we have given a NAME to this type of curve

[wheat isle]

well i mean we would need to find the coordinates or points before we use the distance formula do we not

[vale wigeon]

that's if you're a calculator-in-a-meat-suit.

[wheat isle]

so my question is how we find that

[vale wigeon]

i mean like

you are definitely able to conceptualize
"(x,y) is 5 units away from (0,0)"
as
"(x,y) lies on the CIRCLE with center (0,0) and radius 5"

right???

[wheat isle]

yes

[vale wigeon]

well for some reason this never came up until i brought it up.

are you able to write down the equation of this circle?

[wheat isle]

(x - 0)^2 + (y - 0)^2 = 5?

[wheat isle]

i believe that is it unless i was supposed to add the squared term to the 5

(x - h)^2 + (y - k)^2 = r^2

[vale wigeon]

yes you were supposed to put 5^2 on the right hand side and not just 5

really though you were "supposed to" understand that the equation of a circle literally states its worded definition in symbols

with a little bit of cleanup

[wheat isle]

oh okay

[vale wigeon]

in that instead of $\sqrt{(x-h)^2+(y-k)^2} = r$ (which directly involves the DISTANCE) both sides are squared so as to get rid of the square root

[ocean seal]

Ann

[wheat isle]

ohhh

sqrt(x - 0)^2 + (y - 0)^2 = 5

then

[wheat isle]

but what do we do after subbing in the points into the circle equation

[vale wigeon]

what "subbing in points"

what are you talking about

[vale wigeon]

this is mangled. bad.

[wheat isle]

when we put (0,0) and radius of 5

[vale wigeon]

once we do that, we're DONE.

we were asked to find the locus.

we found the equation that represents the locus.

x^2 + y^2 = 25

that's IT. we're done.

[wheat isle]

so finding the locus of points can also mean finding the equation?

i thought by finding the locus of points it wanted us to write coordinates down

but that makes sense

[vale wigeon]

finding the locus of points USUALLY means writing down the equation of said locus.

[wheat isle]

oh alright

[wheat isle]

and for B would we do a similar process but not exactly the same because it specifies 3 units from the x axis
'

[vale wigeon]

yes

[wheat isle]

what would we change in the process tho because its restricted to the x axis now

[vale wigeon]

you would have to know how to find the distance between a point and a line

[wheat isle]

will 3 be the radius

[wheat isle]

Would it still be (0,0)

[vale wigeon]

your question does not make sense and i find myself unable to continue helping you. sorry.

[wheat isle]

Okay

.close

[lone heart]

Channel closed

Closed by @wheat isle

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.

[austere compass]

how can i show that $$c_n := (n+1)^2 + \frac{(-1)^n}{(n+1)^2}$$ is divergent? like ik that $(n+1)^2$ goes to infinity as n does, but idk how to formally write it down..

[ocean seal]

Levens

[wind cloak]

you mean notation wise?

[echo socket]

$\lim_{n\to{\infty}}(n + 1)^2 = \infty$ and $\lim_{n\to{\infty}}\frac{(-1)^n}{(n + 1)^2} = 0$ using squeeze theorem

[ocean seal]

A Lonely Bean

[austere compass]

thats how i thought of doing it, but we havent covered the squeeze theorem yet..

[lone heart]

@austere compass Has your question been resolved?

[keen plinth]

so the sequence will eventually be larger than every real number

hence it diverges

[lone heart]

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.

[alpine sable]

Since you can simplify all angles to be in the range $(0, 2\pi]$ or $[0, 2\pi)$, I'm not sure what you mean by negative angle.

[ocean seal]

3317

[alpine sable]

Yeah, mate. Couple of free channels above.

[sage crystal]

Wasn't being used when I typed it 😅

Mb

[alpine sable]

Both angles are equivalent, man.

Really don't get what difference it makes.

If I did my math correctly, all the angles in the format $\frac{k\theta+4}{2}$ are equivalent.

[ocean seal]

3317

[lone heart]

@alpine sable Has your question been resolved?

Channel closed

Closed by @covert tapir

Use .reopen if this was a mistake.

[lone heart]

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.

[boreal horizon]

Did you type it wrong, since it should be 5/9 9/5 instead of 59

[lone heart]

@floral karma Has your question been resolved?

[lone heart]

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.

[alpine sable]

So, what's your question?

[prime badge]

how do you solve it without eliminating the achievable results one by one

[ruby current]

maybe you can note that none of the three provided operations are suitable to be the last applied operation to obtain (1,3)

[prime badge]

i think you're supposed to argue that 1,3 is impossible, because no buckets are empty or full, so what exactly was the last step

[ruby current]

lol yes

[trail wadi]

so the first option is not possible

[ruby current]

correct

[trail wadi]

and the third option and fourth option is possible?

[ruby current]

yes

can you see how?

[trail wadi]

we can just start off with 0 in the 3 and 4 in the 4

same with the third option

[ruby current]

yeah

[trail wadi]

the 31 and 24 is harder

is it possible for 3 to be full and to have 1 in the 4 bucket?

[ruby current]

yes: fill 4 and transfer to 3

[trail wadi]

ohh, right

so option 2,3,4 is possible

option1 is not possible

and i don't think option 5 is possible

so is it option 1 and 5 that is not possible?

[ruby current]

well it says "which one of the following"

[trail wadi]

ohh, thanks for pointing that out

then option 1 is the asnwer?

[ruby current]

should be

you can check for yourself by trying to construct (2,4)

but this argument should make sense

[trail wadi]

okay, thanks for your help

.close

[lone heart]

Channel closed

Closed by @trail wadi

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.

[orchid python]

hi

[orchid python]

how can I solve this question?

[lone heart]

@orchid python Has your question been resolved?

[lone heart]

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.

[alpine sable]

so how to do a (ii)? theres no ratio or anthing to calculate any vector leading up to OS

[west solstice]

can you help me?

[boreal verge]

#❓how-to-get-help

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

<@&286206848099549185> can you help me with this?

hmmm

[austere compass]

how do you usually find position vectors?

[alpine sable]

by adding vectors from the origin point' until it leads to the desired point

i dont how to explain it exactly

oh nvm nobodys answering

ill just close it

.close

[lone heart]

Channel closed

Closed by @dull iron

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.

[alpine sable]

what do they mean when they say that the function is positive and the derivative is negative in an integral

[alpine sable]

and vice versa

?

and from that we can find out if the function is an underestimation or overestimation

by using the left and right functions of reimans theorem

nvm

i understood

.close

[lone heart]

Channel closed

Closed by @crisp dock

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.

[green folio]

Just replace the value of x by half

f(x)=3•25^x

F(½)=3•25^½

Power half basically means root over

I hope you can try what's next

[mortal peak]

Thanks.

[green folio]

Mate you should never send the whole answers with steps.

You are basically spoon feeding em instead of teaching them which is against what the server stands for.

[tribal oxide]

Well isnt this the same

[green folio]

Nope not at all.

He may just copy down 15 and go ahead with the question without even thinking what it is

And ig calculators and google are exactly there for the same reason

Anyways @mortal peak pls close the channel with .close when ya think you're done. Thank you.

[lone heart]

@mortal peak Has your question been resolved?

[lone heart]

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.

[lone heart]

@torpid drum Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

✅

[lone heart]

@torpid drum Has your question been resolved?

[lone heart]

@torpid drum Has your question been resolved?

[lone heart]

@torpid drum Has your question been resolved?

[lone heart]

@torpid drum Has your question been resolved?

[alpine sable]

.reopen

.close

[vocal sapphire]

Help here

[lone heart]

@torpid drum Has your question been resolved?

[remote heron]

have you managed to make any progress on this

i think the first part is not so bad

if you choose the two points to be some intersection of disks 2 and 3, and some intersection of disks 1 and 4

which are given to exist by definition

trivially one of those points is in each disk

i think with 6 youll have a harder time

im picturing a ring of disks only touching on the edges

so if you pick the same intersection points as before

its not clear

i think 3 could get you there

[remote heron]

ah, i realize now this is not a clique

i think maybe

maybe 5 is the most you can have with just boundary overlaps

[mossy comet]

Write an expression for flowerbed B: (5x+3)(10x-9)?

Then expand using foil?

I’m not sure if that’s right, you can try it though

@vocal sapphire

[lone heart]

@torpid drum Has your question been resolved?

[alpine sable]

Can someone make sure this is correct pleaseee

[solar maple]

why did you write 3211

18x18=321

you got the write answer though

@alpine sable

[glad thunder]

i think thats a 4 not 11

[solar maple]

ah

I see

[green folio]

Yeah its correct

27 is the answer

[alpine sable]

yes i put 321 i know my handwriting is sloppy lol

[alpine sable]

thank you

thank yall lmao

[green folio]

Yeah no worries

[remote heron]

howd it go

[green folio]

@torpid drum please close the channel.

[lone heart]

Channel closed

Closed by @torpid drum

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 girder]

Let a,b in R and 0 < a <= b. Show that

[raven girder]

Do I need lim or something for this exercise?

I am not sure how to approach this

[tall topaz]

this is directly from a<=b

[raven girder]

what I did is

\begin{align*}
\left( \dfrac{2ab}{a+b} \right)^2 &= \left( \dfrac{2ab}{a+b} \right) \cdot \left( \dfrac{2ab}{a+b} \right)\
&= \dfrac{4a^2b^2}{(a+b)(a+b)}\
&= \dfrac{4a^2b^2}{a^2+ab+ba+b^2}\
\end{align*}

[ocean seal]

madmike

[raven girder]

but that doesn't really seem to help

[tall topaz]

$\left(\frac{2ab}{a+b}\right)^2$ is definitely bigger than or equal to $\left(\frac{2aa}{a+a}\right)^2$ as $a \leq b$

[ocean seal]

Pure

[raven girder]

where do we go from the (2aa/a+a)^2?

[tall topaz]

simplify it down to a^2

[raven girder]

that is possible?

how did you see that from the start?

or how did you know to approach it like this

\begin{align*}
\left( \dfrac{2aa}{a+a} \right)^2 \leq \left( \dfrac{2ab}{a+b} \right)^2
&\Leftrightarrow \left( \dfrac{2aa}{a+a} \right) \cdot \left( \dfrac{2aa}{a+a} \right) \leq \left( \dfrac{2ab}{a+b} \right)^2\
&\Leftrightarrow \dfrac{4a^4}{4a^2} \leq \left( \dfrac{2ab}{a+b} \right)^2\
&\Leftrightarrow a^2 \leq \left( \dfrac{2ab}{a+b} \right)^2\
\end{align*}

[ocean seal]

madmike

[raven girder]

you were right

.close

[lone heart]

Channel closed

Closed by @raven girder

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.

[torn isle]

Hi

[torn isle]

May I know do I need to modify for Xp like multiply with t or no need?

[lone heart]

@torn isle Has your question been resolved?

[lone heart]

@torn isle Has your question been resolved?

[torn isle]

<@&286206848099549185>

[lone heart]

@torn isle Has your question been resolved?

[lone heart]

@torn isle Has your question been resolved?

[hollow turret]

Hi there

[lone heart]

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.

[nocturne wagon]

Need help making a power series for the func 9/(1-7x)^2

[nocturne wagon]

I expanded the bottom func

And got 9 × (-1)^n × (1-14x+49x^2)

Does that check out?

[echo socket]

Nope

Don't forget the chain rule

Also, are you sure the power stays the same?

[nocturne wagon]

The power of the last term?

[lyric stream]

i dont think expanding the denom is the right approach

[nocturne wagon]

9 × (-1)^n × (1-14x+49x^2)^n

Is what I had my bad forgot the n exponent

[echo socket]

Yeah that too

[lyric stream]

notice d/dx of (1/(1-x)) = 1/(1-x)^2

so what can u do to ur function to make it more like a power series you know

[nocturne wagon]

So here we would integrate it?

[lyric stream]

yes

[nocturne wagon]

9 / (7-49x)

[lyric stream]

integrate ur power series representation of 1/1-x

then make 9/(7-49x) in the form of 1/1-x

and plug in

[nocturne wagon]

How do we reduce the 7 in denominator to a 1?

[lyric stream]

factor

and multiply it out as it's own fraction

[nocturne wagon]

So the whole power series would end up being 9 * (1/7) * (-1)^n * (-7x)^n

[lyric stream]

not sure where u got all these negatives from

1/1-x = sum of x^n

1/1-7x = sum of (7x)^n

not (-7x)^n

and not sure where the (-1)^n came from

[nocturne wagon]

Would there be negatives if on the denomiater it was 1+7x?

Mightve been my issue there

[lyric stream]

yes but there is no +7x

[nocturne wagon]

I'm still lost as to how you would write this out

I have 9 * 7* (7x)^n

[lyric stream]

integral of f(x) = (9/7) * sum from 0 to inf of (7x)^n

we want f(x)

remember when u differentiate the bounds of ur summation is going to go from 0 to inf to 1 to inf

[nocturne wagon]

After differentiating we would get (9/7) * 7n(7x)^n-1 ?

[lone heart]

@nocturne wagon Has your question been resolved?

Channel closed

Closed by @nocturne wagon

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.

[somber spade]

the price of an item is P before the price increases by p%.

a. Find a formula for the new price S

b. Solve the formula in a in consideration to p.

c. A car cost NOK 350,000 in 2021. The same type of car cost NOK 390,000 in 2015. Use the formula in b to find the growth factor and the price in percent

[lone heart]

Please don't occupy multiple help channels.

[somber spade]

please also give explanation on how its done so i can understand it rather than just giving me the answer to the tasks

[lone heart]

@somber spade Has your question been resolved?

[somber spade]

<@&286206848099549185>

.close

[lone heart]

Channel closed

Closed by @somber spade

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.

[craggy idol]

Hi, how do I exactly find if f(x) is surjective in the interval given?

[craggy idol]

I cant do lim x->oo

so, I thought about doing y=x/(1-x^2) => y(1-x^2)=x so I get that x={expression with y as variable}

is the second thing ok?

[lone heart]

@craggy idol Has your question been resolved?

[lone heart]

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.

[idle minnow]

How does Coordinate system works?

[ornate condor]

wdym

[idle minnow]

I don't know how it works

[ornate condor]

like the 2 numbers one?

(3,1)

something like that?

[idle minnow]

idk its just a pic of a math book lines and has random lines on it

with saying 1. 2. 3. 4. 5. 6. 7.

[ornate condor]

take a pic

[clever folio]

You can post the pic

[ornate condor]

a grid?

[idle minnow]

I cant Im on laptop

ye

[ornate condor]

use ur phone

[idle minnow]

I dont have phone :/

[ornate condor]

take a screenshot

[lyric stream]

how do u expect someone to help you lol

[ornate condor]

thrs a few ways

[idle minnow]

eh lemme try the laptop camera

it will be blurry tho

[ornate condor]

https://mathinsight.org/cartesian_coordinates#:~:text=The Cartesian coordinates (also%20called,distances%20from%20the%20coordinate%20axis.

mayb

[idle minnow]

the top one

[clever folio]

Oof that's still pretty blurry. You might also need to translate it

[idle minnow]

ye I did

lemme send the translation

[jagged forge]

Have u ever seen Battle Ship?

[idle minnow]

Recognize points, lines and angles in the coordinate system

the question is that ^^

yes

[ornate condor]

sounds like polar coords

[idle minnow]

idk what that is either 🥹

so can anyone help?

[clever folio]

I think the question just needs more clarification. It's hard to read the instructions and see the figure. The translation is kinda vague too.

[ornate condor]

idk what u r sayin

mayb search up cartesian coordinates n read some stuff

[ornate condor]

or try this if u want idk

[idle minnow]

idk what it means

k

[ornate condor]

no

read up

not look at images

[ornate condor]

also i said cartesian coordinates

[clever folio]

The mean idea with cartesian coordinates is that you represent points with pairs of numbers (x,y) where x tells you how far and which direction along the x-axis to reach the given point and y tells you how far and which direction along the y-axis to reach the given point.

[ornate condor]

not coordinate system

[idle minnow]

my mind is not working after reading this-

one sec

[clever folio]

For ex here in this picture to reach the point (2,3) you walk out to two along the x-axis then up three.

[idle minnow]

so there is a line like this

I
I A
2 --------------------
I I
I I
I I

                             3

A has a X on it

and it lands on a 3 the line on the right side

It has options on what its called wait

[clever folio]

I'm not entirely sure what you mean

[ornate condor]

lol

same

[idle minnow]

Route
X axis
coordinates
just
Y axis
coordinate system
beam

Its telling me to choose from one of these

based on what it looks like

[clever folio]

I am still not sure what you mean

[idle minnow]

my sis gave me her phone wait lemme send it

here

[idle minnow]

the words on the side are these

[clever folio]

So the 2 box is definitely the x-axis

It's the name for the horizontal line that tells you what the values of x are in points like (x,y)

[idle minnow]

okay

and the rest?

[clever folio]

5 is basically the same idea. It's the y-axis. The vertical line that tells you what the value for y is for points like (x,y).

I think by route they're meaning to explain the "route" you would take using the dashed lines starting from the point (0,0) to get to the point A?

[idle minnow]

ye

[clever folio]

Since A is the point (3,2) you can "walk" over to the notch 3 along the x axis then walk 2 units up to reach A

[idle minnow]

so 7 should be route?

ye

[clever folio]

No I was thinking that was 1

[idle minnow]

oh okay

[clever folio]

I think 3 refers to the A(3,2)

[idle minnow]

ye

[clever folio]

We call the pairs (x,y) coordinates

Ordered pairs

There just points on the grid/plane. The numbers tell you which point like we've been talking about.

[idle minnow]

ye

[clever folio]

I'm not sure what you mean by "just" with 4?

[idle minnow]

the mean the E and F line

[clever folio]

Ah okay

[idle minnow]

thats what I think they mean

[clever folio]

Well given any two points geometry says there is exactly one line thru the two points.

So in coordinate systems you can say stuff like "the line between the points (a,b) and (c,d)" where (a,b) and (c,d) are just points in your coordinate system.

[idle minnow]

so 4 is coordinate system?

[clever folio]

Well no

[idle minnow]

oh

[clever folio]

I'm saying I think 4 is referring to the line through E and F

[idle minnow]

ye it is

I don't understand what it means by 6

its just a box for the answer of 6

[clever folio]

5 was the y-axis so that one is good

[idle minnow]

5, 1 and 2 are done