help-0

[alpine sable]

sorry :(

[teal rune]

i have to go soon...

nvm

i got it right

LETS GO

WWWWWWWWWWWWWWWW

thanks though

[alpine sable]

https://tenor.com/view/sit-down-alan-walker-88questions-have-a-seat-grab-a-chair-gif-17612710

https://tenor.com/view/im-here-brandon-routh-ray-palmer-atom-legends-of-tomorrow-gif-18329246

[teal rune]

https://tenor.com/view/pepe-clap-clapping-applause-gif-10184275

[strange raft]

Can anyone tell me the answer

according to me the angles are 30,60,90 so it should be 1:2:3

but the answer sheet is saying c lmao

[alpine sable]

lmao

i didnt see that part

"right angled triangle"

[strange raft]

still shouldn't it be A?

[alpine sable]

no

[strange raft]

like the largest angle should be 90

[alpine sable]

the only right angled triangle with sides forming an AP is a 3-4-5 triangle

so its c

did it help?

[strange raft]

ok so explaination?

[alpine sable]

they've given us 2 things :

1. The triangle is a right-angled triangle
2. The sides of the triangle form an AP

only the 3-4-5 triangle satisfies both these criteria

so its sides are proportional to 3,4,5

3:4:5

(c)

[strange raft]

what would the angles be?

[alpine sable]

uhh

im doing this mentally, my estimate would be around 37-53-90 or 38-52-90

lemme google

36.9-53.1-90

close enough

[naive bear]

Help me with a task plssss

[strange raft]

my question is isn't 30,60,90 in AP as well

[alpine sable]

the task?

[alpine sable]

those are the angles

[naive bear]

I am 7th grade (i am 13) and i have an exam

[alpine sable]

alr, what do you need help in?

[strange raft]

Oop i thought the angles were in AP

[alpine sable]

😁 🤣

[naive bear]

If in a triangle A and C are 50° and 60° what id right:
Bc>Ab>Ac
Ac>bc>ab
Bc>ac>ab
Ac>ab>bc

I just cant understand it

[alpine sable]

=> B = 70 deg because A + B + C = 180 deg (angle sum prop.)
The larger the angle, the longer the side opposite to it

[naive bear]

Ok tnx

[alpine sable]

you got the idea?

[naive bear]

At parts

[alpine sable]

alr ping me if you need more help

[naive bear]

I think Ac>Ab>Bc

I dn i have only 5m so i will do this one

[alpine sable]

u got it right

👍 :)

[naive bear]

Yea

Ok i am stressed i did it

Tnx

[cinder sundial]

Ayyy

i got stuck in middle of the process

like tf is 3 * x^2 * 2

can someone draw couple arrows and help me to understand

[naive bear]

With this (x+2)(x+2)?

Or a+b

[cinder sundial]

(x+2)(x+2)(x+2)

[naive bear]

a^2 + ab + b^2 + ab

[cinder sundial]

i know

is the process which have confused me

like x * x * x = x^3

then whats the process of 3 * x^2 * 2

[naive bear]

Ook

Its:( x^2 +2x +2x +4)(x+2)

I think

[cinder sundial]

could you guys draw some arrows on the picture

[alpine sable]

you have to "pick" an x from two factors, and "pick" a two from the other factor

[cinder sundial]

like what i did, and i got x^3 by that

[alpine sable]

let me show you with a picture

^ picking the two from the last factor, and picking the x from the first two

picking the two from the middle factor

[naive bear]

@cinder sundial yo you like Eminem, cool

[alpine sable]

picking the two from the first factor

[naive bear]

Yep

[alpine sable]

so each way is x*x*2, and there are 3 ways to do this

so we have 3*2*x^2=6x^2

[cinder sundial]

why u skipped the last x

[cinder sundial]

here

[alpine sable]

or alternatively you could just plug it into the formula

[alpine sable]

i think this is what they wanted you to do

[cinder sundial]

well, i know the formula, but it askin me to expand it

[alpine sable]

oh it wants you to expand it by hand

[vale wigeon]

can i suggest first expanding (x+2)(x+2) to x^2 + 4x + 4, then expanding (x^2 + 4x + 4)(x+2)?

[alpine sable]

ok so you have (x+2)(x+2)(x+2) so first multiply (x+2)(x+2)=(x^2+4x+4) then expand (x^2+4x+4)(x+2)

yeah what ann said

[vale wigeon]

the second expansion can be done using a table for convenience

[cinder sundial]

thats an good idea

let me see if im able to expand it with that method

[vale wigeon]

a* good idea

"good" starts with a consonant

[vale wigeon]

... but it is asking me to expand it

[cinder sundial]

thank you

x^2 * x = x^3

am i right

how bout 2 * x^2

its the simplest form right

thats what i got, just look at it have made me headache

now i have to combine them

[cinder sundial]

theres a better form for that sentence, "it makes me headache by just lookin at it "

i revised it, just leave it what it is

now combine hem will be a big problem

2x^2+4x^2=6x^4 right

it is legal to combine those things

[alpine sable]

no

the powers stay the same

so its 6x^2

[cinder sundial]

ohhhh

sorry im always trippin

so power cant be addin up

i mean they had same power thats why its legal to combine those things bcuz both of them are ^2

[gray isle]

distributive property, like terms etc.
the same way
5🍎 + 2🍎 = 7🍎

[cinder sundial]

^2 is the apple in this case

[gray isle]

x^2

[cinder sundial]

yes

[gray isle]

2x^2+4x^2 = (2 + 4)x^2 = 6x^2
the middle step is simple enough to jump to 6x^2 directly

[limpid spade]

ACB=2X2(2X3)3X2

[jagged imp]

\ in front of asterisks

[limpid spade]

So ACB will be a 2X2

[dawn wraith]

Np

[sleek osprey]

why does it make a space in between

[night sandal]

Hi, i was wondering if i could get some help for the following:

i thought that i could say that since everything in the logarithmic term was continuous i could bring the limit in and say that as a result that term has to be convergent

and since the term was convergent the series has to be but then i remembered 1/n was not a convergent series

and i can't apply the integral test since i don't know the term

how should i try to solve this?

[candid sluice]

Try to use a simple bound

More explicitly, use the inequality $1+x \leq e^x$ for all $x \geq 0$

[ocean seal]

Pappa

[candid sluice]

The idea is just to try and bound the ln sum by our given sum

[night sandal]

mhm i realised that, thanks!

[quick surge]

Hi

How do infind

(B)

Heres the table

[woeful pulsar]

yeah... figuring out how to explain

Can you find out how many people is 65% of the candidates?

[quick surge]

Idk how to find it

Thats why i asked

[woeful pulsar]

okay, suppose there are 100 candidates, then 65% of the candidates is exactly 65 people.

But if it's a different number, you'll need to figure out in that case

[quick surge]

Wat

Hm

[woeful pulsar]

oh wait

there are exactly 100 candidates lol

then 65% is exactly 65 people

[quick surge]

What if its not 100

[woeful pulsar]

what's 65% of 200?

[quick surge]

Oh ok

Wait

What do i even write

Whats the passing mark

[woeful pulsar]

You can change 65% into a decimal or fraction

do you pass by getting above or below the passing mark

just checking

[quick surge]

Hm

[woeful pulsar]

because for driving tests obviously you need to get below the passing mark

so it's not obvious

[quick surge]

Ty

[woeful pulsar]

???

[quick surge]

I said thank you

[woeful pulsar]

for what lol

[quick surge]

For teaching me?

[alpine sable]

can someone help me with 32.? Epsilon and x need to be found

[woeful pulsar]

ig lol

[woeful pulsar]

firstly, you can try to figure out some equations that relate the variables

but I think constructing similar triangles would be faster

do you see any similar right triangles

[alpine sable]

we could connect C to the baseline

[woeful pulsar]

how about C to B?

[alpine sable]

would that distance not be unknown?

[woeful pulsar]

do you spot the similar triangles?

[alpine sable]

oooooh

[woeful pulsar]

you see it?

[alpine sable]

we draw a symmectrical triangle on the other side?

[woeful pulsar]

erm

no

once you connect C to B the similar triangles should be visible

you don't have to construct any other lines

[alpine sable]

ooh

aint that the height of the triangle

ahh no

wel yes but it dont lead to anything 😦

*looking really hard for similar triangles

ooh its a right triangle now!

[woeful pulsar]

there are 3 similar right triangles

[alpine sable]

could it be that this line splits the big triangle into 2 similar ones and we establish 2 equations that can do some magic?

[woeful pulsar]

actually

you can solve for x and epsilon independently of each other

pretty much

[alpine sable]

O__O

[woeful pulsar]

first step is to find the similar triangles

then use a common ratio

[alpine sable]

me try

[quick surge]

Halp me

#help-2

[woeful pulsar]

stay in your channel

[alpine sable]

cant seem to find similar sides that cancel values out, the upper right triangle seems to have to many unknown sides, could you give me a hint?

[woeful pulsar]

there is a ratio you can get from the similar triangles

using AC, CB and CS

[alpine sable]

*processing

[onyx bone]

https://lichess.org/iprQLYgi

wait, shit

[worn berry]

hello, just wondering something simple. The centre of mass of a 90degree triangle is h/3 and b/3?

[woeful pulsar]

???

[woeful pulsar]

yeah, it is the centroid

it's 1/3 the way up

[worn berry]

thank you

[alpine sable]

woooo i think im close

[woeful pulsar]

let's see

[alpine sable]

*thats what she said

lemme substitute dis real quick

[woeful pulsar]

bruh

[alpine sable]

this doesnt seem right

[woeful pulsar]

$3x^2=CB^2$ is okay

[ocean seal]

Element118

[woeful pulsar]

but you seemed to miss it afterwards

[alpine sable]

oh oh im onto something

[woeful pulsar]

hmm?

[alpine sable]

tipex ran out so it looks a bit messy

solutions say epsilon = 30, x = sqrt(3), but that stuff is ancient and often wrong

[woeful pulsar]

solution's right this time

[alpine sable]

sacrebleu

[woeful pulsar]

instead of $\sin(\varepsilon)$, why not $\tan(\varepsilon)$?

[ocean seal]

Element118

[alpine sable]

less typing!

huh i made a major mistake with determining CB, how do we get that?

now i get epsilon = 45

[subtle mantle]

excellent

[alpine sable]

m-my solutions were excellent?... *teary eyes

[keen crane]

can someone help me

[woeful pulsar]

$CB=\sqrt{3x^2}$

[ocean seal]

Element118

[woeful pulsar]

you can get CB from here

[alpine sable]

yup i got that

[woeful pulsar]

it's in terms of x but don't let that stop you

[alpine sable]

so 45s gotta be it

[woeful pulsar]

no

[ashen wave]

what is that 😮 like what are you studying?

[woeful pulsar]

$\tan(\varepsilon)=\frac{\sqrt{3x^2}}{3x}$

[ocean seal]

Element118

[peak coral]

sinh(2x) in terms of exponential functions

[alpine sable]

some easy geometry

[ashen wave]

ooo ok ill look up some math tutorials on that bc I want to study it :>

[alpine sable]

have fun

[woeful pulsar]

@alpine sable did you get this?

[alpine sable]

i did

[hybrid pike]

@woeful pulsar, can you copy something down for me?

[woeful pulsar]

erm... why?

[hybrid pike]

I have to copy my work from paper to docs, yet I type slow

can you look at it?

May I dm you?

[woeful pulsar]

I think this is good practice for you to train your typing speed

fast typing speed is quite useful honestly

[hybrid pike]

ugh. I'll see

@woeful pulsar, can you look at it?

[woeful pulsar]

not sure how it would help

[harsh acorn]

what is the easiest way to measure a b and c?

i mean is a>b>c or a<b<c

or others

[woeful pulsar]

consider them as gradients on y=sqrt(x)?

[harsh acorn]

i didint get it what do you mean

[willow bluff]

Can somebody help meee

[woeful pulsar]

plot y=sqrt(x), consider (x, y) for x=13, 14, 15 and consider the gradients of the line segments formed with two of the 3 points as endpoints

[woeful pulsar]

Thales can help

[violet night]

Can I ask question here?

[undone cipher]

#❓how-to-get-help

[violet night]

Yes I read but questions 0 is in the list but I guess I can ask here then

How can I know the dimensions L x W of a rectangle given the area and ratio? I have found a couple answers online but I'm still unable to understand
I need this to calculate the dimensions of cells in a grid (making a video chat app)

I have this rectangle that is 1024px x 728px so the total area is 745472px² and I want to fit in 12 camera feeds and I want these camera feeds size to be divided equally.

I know that I need to divide the total area by the number of the camera feeds to get the area for one feed and that would be 62122px² (rounded down).

So now, I know that a camera feed's area cannot exceed 62122px² but I need to calculate the dimensions knowing only the ratio of the camera feeds which is 16:9

Let me know if you need further context to the problem and also I haven't done math in years so I'm sorry if I'm a bit slower

[glass lichen]

what do you think?

[glass lichen]

yes, im asking what you think

[full valley]

A

[glass lichen]

why A?

[full valley]

I already did it also both variables equal 0 so it must be A.

[glass lichen]

yes, 0*0=0

but so does 0*1=0

or pi*0 = 0

[full valley]

You're right.

C then

[glass lichen]

yes

[full valley]

thx

Is this right or no

[gray isle]

yes

[full valley]

Thank you

[vestal lake]

why does ab^2=b^2a imply ab=ba?

my professor says ab^2=b^2a iff (ab)b=b^2a iff bab=b^2a but i don't see how this works

[wide crypt]

If you’ve heard of the commutative law, then it would make sense, given:

b^2 = b*b = bb

that:

a(b^2) = abb = bab = bba

and:

(b^2)a = bba = bab = abb

So ultimately, a(b^2) = (b^2)a

[candid sluice]

you are assuming that b and a commute

which is valid because that probably doesnt hold if they dont

[vestal lake]

yea but isn't that a circular argument @wide crypt @candid sluice?

[candid sluice]

wdym

[vestal lake]

cause i need to deduce ab=ba from ab^2=b^2a

[candid sluice]

sure, so a and b commute or?

[vestal lake]

yea so we have the relation ab^2=b^2a and from here we need to get ab=ba

but in une's argument they used ab=ba

which is our WTS

[wide crypt]

Just divide both sides of the equation by b, and you have ab = ba

[vestal lake]

i don't think we can do that

because ab^2b^{-1} = b^2ab^{-1}

like we don't have commutativity yet

so @candid sluice are you implying that ab^2=b^2a --> ab=ba does not hold true in general?

[alpine sable]

can sum1 help me with my warmup before my test

[candid sluice]

the unit vectors in the quarternions work right

so $G = {\pm 1, \pm i, \pm j, \pm k}$

[ocean seal]

Pappa

[vestal lake]

maybe yea i think so

[candid sluice]

now for every a in G you have $a^2 = \pm 1$

[ocean seal]

Pappa

[candid sluice]

so a^2 commutes always

but a might not

[glass lichen]

all 3 are the same line

[candid sluice]

like pick b = i, a = j

now b^2 a = (i)^2 j = -j, and ab^2 = j (i)^2 = -j

but ab = -k, and ba = k

[vestal lake]

ooooh i see what you're doing

this is strange though, because my professor seems to claim otherwise

[candid sluice]

you should probably ask them

most likely there is an error that other people are being bothered by as well

[vestal lake]

okay

thank you so much!

[alpine sable]

wat

[candid sluice]

np

[alpine sable]

2 + 6

???

[glass lichen]

use a calculator

[alpine sable]

ok

@glass lichen is that the answer?

whats that

[wide crypt]

What math does quarternions fall under?

[candid sluice]

depends

[glass lichen]

well all 3 are coincidental lines, so the solution set is just the set of points on the line

[candid sluice]

in this case we use them for group theory

[glass lichen]

so $S={(x,y)\in\mathbb{R}^2|y=4x-14}$

[ocean seal]

moshill1

[alpine sable]

i cant figure it out

2+3=3?

[acoustic burrow]

<@&286206848099549185> pls help

[gray gorge]

#❓how-to-get-help

[acoustic burrow]

ye ok

it says to go here to a questions place

[cold roost]

It also says not to ask for help on a quiz/assessment

[acoustic burrow]

its homework

[cold roost]

and/or ping instantly

[acoustic burrow]

not quiz

or test

[acoustic burrow]

oh ok

[acoustic burrow]

oh mate is homework called hegarty every maths hw is set there

@cold roost

as u can see on teams

[cold roost]

Your shape is supposed to be enlarged by a factor of 2

Its asking you to increased the size so you would just need to multiple every coordinate by the scale factor and you will get your enlarged shape

[acoustic burrow]

bet

kinda

[tender geyser]

very quick question bc i havent touched infinite series in ages and i struggle xD

how do i properly shift an index?

my series starts at k=0, goes to inf and inside, i have a bunch of 2k+1 expressions

in particular, the infinite series goes over this expression:

(i*a)^(2k+1)/(2k+1)!

(with i being the imaginary unit)

[wild shard]

[median vault]

hey so i seem to be getting a super weird z score value for this so im so confused

[gritty sorrel]

Hey im doing a homework And need to find this angle

[vestal lake]

you need to first find how many degrees your figure has

[gritty sorrel]

but its a polygon

[vestal lake]

yea

so your polygon is made up of two smaller polygons with 4 sides

[noble sinew]

what are you getting the prob to be?

[gritty sorrel]

My head hurts

[vestal lake]

how many degrees is a rectangle?

or any polygon with 4 sides?

[gritty sorrel]

90 90 90 90

[vestal lake]

exactly

360

so how many degrees is two polygon?

[gritty sorrel]

720 degrees ?

[vestal lake]

yes

now out of the 6 angles, the degrees of 5 angles are given

how do you find x if 720 is the total number of degrees?

[median vault]

1.80555555 forevedr

[gritty sorrel]

all of them - 720

[vestal lake]

no like

the angles gotta add up to 720

[noble sinew]

uh prob can't be above 1

[still hemlock]

can someone help me with scatter plots

[gritty sorrel]

i see thanks

[vestal lake]

np!

[median vault]

uh tahts the value I have to zscore, after I zscore it its 0.9649

[vestal lake]

@still hemlock are you trying to do logistic regression?

[noble sinew]

that seems better

but you calculated the compliment

P(X>=208)=1-P(X<=208)

[noble sinew]

so the result is 1-this

[still hemlock]

no just the linear function

like to graph it

[vestal lake]

what linear function?

you can draw so many lines through points on your scatter plot

[median vault]

uhh i didnt subtract

should i?

i just zscore and put that as my answer

[noble sinew]

look up def of CDF

its P(X<=x)

we want to find P(X>=x)

so we calculate the compliment

[still hemlock]

@vestal lake would this be correct

[noble sinew]

and then use the fact that the prob of the compliment is just 1-

[vestal lake]

depends on what you're trying to do

again your question is too vague

although the line you're drawing does look like the least squares solution

[still hemlock]

its asking me “use the scatter plot below to graph a linear equation”

im confused

[vestal lake]

any linear equation?

[still hemlock]

yeah

[vestal lake]

well then i suppose you can draw a line through any 2 points and that would do lol

it's a strange question

[still hemlock]

ohhhhh okay

it is lmao

now its asking me to use the graph i just drew into a linear equation

[muted raft]

stop spamming on all channels.

[still hemlock]

so i would write this in a linear equation

[dense portal]

whats the right answer to this if i picked the wrong answer?

[harsh zodiac]

Pardon but what is the formula for phothagorem theorome again?

Sorry I butchered that

[dense portal]

a^2 + b^2 = c^2

[harsh zodiac]

Multiply or add?

I feel like it's add but idk

[manic vault]

hey guys how do i do this:

[dense portal]

add

[harsh zodiac]

alright thanks

[potent basin]

The figure consists of two uniform triangles. How long is the distance x? The figure is not drawn to scale.

I dont get how the answer is 9cm and not 11cm

[oak chasm]

@potent basin What's true about similar triangles?

[potent basin]

that they are proportional maybe?

[oak chasm]

They both have the same three angles and the corresponding sides are proportional.

So, 4 and 12 are both between the nonright angles.

[oak chasm]

What's the proportion?

[rugged adder]

ineed help with this

idk how to do it

[oak chasm]

@rugged adder Sorry, channel is busy.

[potent basin]

@oak chasm ngl i dont know if i dont know the answer or if im getting lost in translating math words to english

[oak chasm]

@potent basin 4 and 12 are the sides between the nonright angles.

What's the proportion?

[potent basin]

3 maybe?

cuz 4 x 3 = 12

[oak chasm]

Yes, the larger triangle's sides are 3 times as large.

[potent basin]

AHHH I GET IT

3 TIMES 3

[ancient bear]

:whew:

[potent basin]

@oak chasm much appreciated bro thanks

[oak chasm]

@potent basin No problem.

[ripe wagon]

rate of change

help pls,

[next void]

Can someone explain how I can find the probability of rolling 2 dice and getting a sum of not more than 8 and a sum not less than 8?

[glass lichen]

so sum < 8?

[next void]

@glass lichen yes

[glass lichen]

ok so how many ways to make the sums under 8?

[next void]

I think its is 21 ways

So it would be 21/36 = 7/12

[glass lichen]

yes

[next void]

ok thank you

[alpine sable]

Anyone have an idea on how to solve this ?

Can someone help me with x^2+8x=48

[quick shell]

can someone help me with this

[alpine sable]

Is that how the question starts?

Yes

[jovial field]

consider a general parabola of the form y = f(x) = x^2 + bx + c

[full valley]

Is this correct or no

[jovial field]

And then, can you get the minima, and the corresponding minimum?

[alpine sable]

<@&286206848099549185>

[fervent sail]

Can anyone assist me ? 😄

[alpine sable]

Never mind. Solved it. You just have to write it in terms of sin and solve for sin^2(α).

[celest shard]

can someone help me solve an arithmetic progression?

the question is how much is "d"

[grand tendon]

How do you resolve forces? Like if you have something on an inclined plane (or just in general -- like msin(angle) )

[small stag]

Rewrite all the terms in terms of $a_1$ and d

[ocean seal]

AyeWaddup

[small stag]

Like $a_2 = a_1 + d$

[ocean seal]

AyeWaddup

[celest shard]

oh

yea

i did it

one sec

i will show you

[small stag]

You have to split the original force vector using either trig or trig + Pythagorean

[fluid mist]

What is 5x + 5 = 3x + 4

What is the value of x

[celest shard]

2x=-1
x= -1/2

[small stag]

Don’t do their work

[muted raft]

stop

[celest shard]

wtf

stop

[gritty turret]

whats a polygon with -2 sides

[fluid mist]

Thanks

[fluid mist]

I was stuck on the question

[small stag]

Then you get help

Not an answer

[small stag]

From step 1 to 2

[fluid mist]

My perants are not in and im using hegathy math if you know what that is

[small stag]

Where did the $+a_1$ go

[ocean seal]

AyeWaddup

[small stag]

I’m saying you should be guided not given a solution

It’s more beneficial

[celest shard]

hmm lemme see

it is the first one

i just didn't write them consequently

so where is my mistake?

[small stag]

No I mean like

$a_4 - a_3 + a_1 = a_1 + 3d - a_1 -2d + a_1$

[ocean seal]

AyeWaddup

[small stag]

Where did that last a_1 go

[celest shard]

ooh

lemme see

you mean how does step 3 become a1+d-1=0?

OH WAIT

nvm

i actually wrote it one more time

[small stag]

Ere we go

[celest shard]

so i was rewriting it and missed a1

[alpine sable]

do this for me

[celest shard]

but check out step 3, i think its correct, because i had the missed a1 in mind

[small stag]

Is that the one under the line I talked about?

[celest shard]

yeah

a1+d-1=0
3d+2a1=0

[small stag]

Yeah

Yeah it’s right

[celest shard]

yeah so i dont see where my mistake is

because if my equations are correct

[alpine sable]

damn bruh no one answer

guessing against rules

[small stag]

Wait nvm

[celest shard]

lol

[small stag]

You missed something

When going from step 2-3

It’s important

[celest shard]

waiiiit

i think i found it

i missed a whole 32 lmao

i will resolve it

[median creek]

I'm new to functional equations

I have a solution but I don't know whether its correct or not

||n=1
f(f(1))+f(1)=2006
f(1)=c
f(c)=2006-c, where c<=2005
We also know that c is a member of N since F : N—>N
So can we just that f(n)=C||

This is my solution

Can someone check?

[celest shard]

damn i still cannot get it write

i got d= -28
a1= -29 😂

[fickle bridge]

5x + 4 = 34

what does that mean

i dont get what it means

[celest shard]

@small stag what do you think

[fickle bridge]

cause i missed the lesson

[celest shard]

you have to put all x's on one side and all simple numbers (non-x numbers) on the other side

and you change the sign of the number when you change its side

[small stag]

$d = 1 - a_1$

[ocean seal]

AyeWaddup

[small stag]

$d = 1- (-29)$

[ocean seal]

AyeWaddup

[fickle bridge]

thanks

[celest shard]

ooh yeah, right

but the answer is still not in the choices

it has to be 3, 2, -10, or 10

i just dont know what i am doing wrong anymore

i might not even be solving it right lol

i dont know if thats how it is supposed to be solved

[small stag]

I’ll do it rq

[celest shard]

thank you

[small stag]

Is the first term of the second equation a_5 or a_3

[celest shard]

good question

i was wondering the same lol

it's probably 5 then

if it does not work with 3

thank you

[small stag]

It works out nicely if it’s 5

[celest shard]

niceee

[small stag]

Yeah no

Np*

Looks like a 3 tho

[celest shard]

i'll go check rq

[next void]

Can someone explain how to solve this?

If a bag contains ​4 yellow, 3 ​white, and 7 blue​ marbles, how many samples of 2 marbles can be drawn in which all marbles are​ blue?

[celest shard]

oooh combinatorics

[south maple]

how do you find the range for a 68-95-88.7 distribution? because one of the questions on my assignment is "what is the range for the 68-95-99.7 distribution?" and I just want to check if I did it correct. (so the mean=18 and the standard deviation=2, and for the range I put 12<x<24)

[celest shard]

it's 10

which is good, it's still in the answers lol

[small stag]

Oh shit no

I didn’t say a 3 as in the answer choice a. 3

[celest shard]

oooh

[small stag]

I meant the 5 looks like a 3

[celest shard]

ooh okay haha

true

[tender geyser]

very quick question bc i havent touched infinite series in ages and i struggle xD
how do i properly shift an index?
my series starts at k=0, goes to inf and inside, i have a bunch of 2k+1 expressions
in particular, the infinite series goes over this expression:

(i*a)^(2k+1)/(2k+1)!
(with i being the imaginary unit)

[celest shard]

sorry, can't help, i havent done these in ages

[glass lichen]

n=2k+1 so you sum from n=2(0)+1 to infinity

[tender geyser]

ahh thanks!

[glass lichen]

dont crosspost

read the rules then

[alpine sable]

I have the interval of convergence

[noble jewel]

Rules say dont spam, i would hardly call making 2 posts spamming but okay @glass lichen

[glass lichen]

#❓how-to-get-help 3

[noble jewel]

Well, thats not the rules section

[native temple]

how to solve this

specifically

should I factor out 3 or divide by 3?

[tender geyser]

well its a rules section with a different name

[native temple]

one the first fraction?

[glass lichen]

the rules also link to how to get help, but complain in a non-help channel.

[tender geyser]

if you divide by a fraction, how can you express that as a multiplication?

[native temple]

by the reciprocal?

but I mean

To factor 3x - 9 and 3x -6

[tender geyser]

and yes you factor out 3 on both sides of the first fraction and divide it out 🙂

[tender geyser]

yep!

[native temple]

not divide 3x

not 3x

3

[tender geyser]

3

[native temple]

from 3x -9?

why”

[tender geyser]

you cant divide out 3x

[tender geyser]

if you rewrite it as a product with the reciprocal

[native temple]

difference between dividing by 3 on the numerator and factoring by 3 by the numerator?

[tender geyser]

you will quickly see, why you want to factor out 3

[native temple]

doesn’t the golden rule make it the same value?

[glass lichen]

$\sum_{k=0}^\infty(-1)^k\left(\frac{3}{2}x\right)^k=\frac{1}{1+1.5x}$

[tender geyser]

well, you can factor out anything from anywhere if you know how to do it

to divide something out of a fraction, it needs to be present in both the numerator and the denominator

[ocean seal]

moshill1

[native temple]

oh I would have to divide both sides of a fraction

[alpine sable]

"2/9" could i still simply this to 2/3?

[rough sky]

Can someone explain solids of revolution to me

[tender geyser]

yes

take the first fraction

factor out 3 from both the denominator and the numerator
then divide these 3s "away"

[glass lichen]

no

[tender geyser]

then you should see a very helpful term come up

[alpine sable]

y not

[alpine sable]

so this works for alternating sums too?

2/√9 would equalt 2/3 right?

[glass lichen]

yes...

[alpine sable]

monke need help

[glass lichen]

$\sum_{i=0}^\infty(-1)^ix^i=\frac{1}{1+x}, \abs{x}<1$

[ocean seal]

moshill1

[muted raft]

wouldn't this be f(n) = n + 2004 or f(n) = n + 2005 instead ?

i am also not the best at this so could be wrong...

[median creek]

Did this by another method

||notice f(n) is linear so it can be written as f(n)=an+b||

[muted raft]

Ah I see what you mean

[median creek]

||you put the values and compare RHS and LHS||

[orchid zinc]

I need help with this problem

The rectangular floor of a classroom is 32 feet in length and 38 feet in width. A scale drawing of the floor has a length of 16 inches. What is the area, in square inches, of the floor in the scale drawing?

There’s no drawing in the homework so IDK why it says that

[celest shard]

cause u need to draw it yourself

a rectangle

[orchid zinc]

Okay what do I do after that?

[next void]

Would this be the correct way to solve this problem?

A website sells custom messenger bags in 4 sizes. For each​ size, there are 53 ​color/fabric combinations. Any of these 53 can be chosen for the​ left, center, and right panel. In​ addition, there are 19 different choices of binding​ color, 26 choices of logo​ color, 13 choices of liner​ color, and 47 choices of strap pad color. There are 4 choices for the interior style. The bag can be​ right- or​ left-handed. It can be ordered with or without a grab​ strap, a chiller​ insert, a camera​ insert, and a water bottle pocket. How many different bags are​ possible?

(4)(53)(53)(3)(19)(26)(13)(47)(4)(2)(3) =244181291328

[celest shard]

write down whatever you have given

[orchid zinc]

Do I draw it with a ruler and then list what I have down?

[celest shard]

haha if u want

its not really important to have it perfect

and make sure to put A,B,C,D on it

[orchid zinc]

Got it

I’m kinda familiar with scale drawings because of theater

[celest shard]

i can give you the answer

but i will give some hints first

d=?

it is equal to one of the angles

it's like a rule

and c=b

[celest shard]

did u figure out the answer

[orchid zinc]

I did not

[celest shard]

oh

lol

30 min is plenty of time

[celest shard]

if u want you can show me what you have written down

[orchid zinc]

Kk give me a sec

[celest shard]

ok think about it
d=a
c=b

then look at how many celsius would xy be

xy=wz

I'm new to this, and I allowed to give straight answers, @next void ?

[next void]

I don't think so, usually just guiding people to the answer. I am not totally sure.

[celest shard]

aight

well i think these are quite a lot of hints haha

the guy left tho

[orchid zinc]

@celest shard here’s what I have so far

[celest shard]

nice

[orchid zinc]

I’m assuming the letters go on the corners?

[celest shard]

yea

[alpine sable]

Is this busy?

[orchid zinc]

Kk I’ll add those

What do I do after this?

[celest shard]

add another lenght which is 16 feet tall, where would you add it

[orchid zinc]

The edges?

[celest shard]

nooope

16 is half of 32

so if the line/ side next to where it says "32 feet" is 32, 16 feet would be in the middle of it

[orchid zinc]

Ohhhh okay that makes sense

[celest shard]

on wait

nvm

im wrong

[orchid zinc]

You’re all good

[celest shard]

16 feet is in the middle of the longer side

cause its length

[orchid zinc]

Oki

Thanks for the help

[celest shard]

np

[cunning junco]

hey!

[stark blade]

just 5x6 right?

@cunning junco

[blissful pilot]

whats 8(x+10) distributive

[loud barn]

8x + 80

To do it the distributive property way, you have to multiply x and 10 both by 8

So 8 times x is 8x, and 8 times 10 is 80

So 8x + 80

[blissful pilot]

what about 3(5x-4)

[loud barn]

You would multiply 3 and 5x, and then 3 and -4

So 15x - 12

[stark blade]

what's outside the brackets multiplied by what's inside the brackets

[loud barn]

Essentially, if you are confused why you would multiply the x on the first one and only the 5 on the second one, its because think of it this way, x is the same as 1x

So when you are multiplying something with just x

Its read the same as 1x

[ionic jewel]

$a(b+c) = ab+ac$

[ocean seal]

bunny

[quiet glacier]

how would you go about solving this

[muted raft]

apply limit laws, first.

[quiet glacier]

got it, thank you.

[muted raft]

Yw

[alpine sable]

https://HashGamerYT.api-minecraft.net/​‌​​​​‌‌​‌​​​‌‌​​‌‌​‌‌‌‌​​‌‌​‌‌‌​​‌‌‌​​‌​‌‌​‌​‌​​‌‌​‌‌‌‌​‌​​‌​‌​

[ionic jewel]

such a sus domain name lmao

[alpine sable]

lmao

[glass solstice]

hes using pays.host

[alpine sable]

yea

[ionic jewel]

either way

you know they are similar triangles

[glass solstice]

that should be pretty simple

they are similar

[alpine sable]

ok ty

[glass solstice]

wait what

huh

[ionic jewel]

it goes from 10 cm on the long side to 16 cm

[glass solstice]

hes crazy

basically they are similar

They are mirrored

they are porportional

[ionic jewel]

idk what ur talking about but you multiply the side lengths of the intial triangle by 1.6 to get the final triangle

[glass solstice]

yeah

its porportional

[ionic jewel]

that is now how you spell it

[glass solstice]

ik

i rushed

[ionic jewel]

proportional

[glass solstice]

yes

ok

@alpine sable wym idk

[alpine sable]

The formula for finding the volume of a cube is V=s^3, where s is the length of one side. What is the volume, in cubic units, of a cube with side length 4.2 units? Round to the nearest hundredth when necessary.

[ionic jewel]

it literally gives you the equation

[glass solstice]

well

[alpine sable]

what

[glass solstice]

you plug it in

subsitute

if s is side

[loud barn]

So it would be V=4.2^3

[alpine sable]

so 4.2^3??

[loud barn]

Yes

[ionic jewel]

If you know that the equation is
$$V = s^3$$
and you know that
$$ s = 4.2$$
you need to solve for V

[ocean seal]

bunny

[glass solstice]

yeah

[alpine sable]

OH

[glass solstice]

it gave it

[alpine sable]

that was more simpler than i thought-

[loud barn]

Rai did you get 74.088

[glass solstice]

well you ahev to round it

[loud barn]

Don’t forget to round it

[glass solstice]

to the nearest hundred

@alpine sable still need help

[alpine sable]

no thx

tho

[alpine sable]

yes i did

[loud barn]

Alright and don’t forget to round to nearest hundred so 74.09

[alpine sable]

okay ty

[loud barn]

Oh and i almost forgot

[alpine sable]

?

[loud barn]

74.09 units^3

Don’t forget the label

[glass solstice]

ye

or else

[alpine sable]

alright

[ionic jewel]

technically you dont need the units

with how they worded the problem

but its good to know

[loud barn]

My teacher would take off

Haha

[alpine sable]

lol

[glass solstice]

its essential

ngl

[ionic jewel]

i would absolutely argue this, it asks for the volume in units^3

if it asked for the volume you have to have units

[loud barn]

Yeah i don’t know what runs through their heads sometimes

[ionic jewel]

¯_(ツ)_/¯

cant hurt to put it but you shouldnt need it here

in this specific case

[alpine sable]

Is this being used

I need help

[loud barn]

Go ahead

[loud barn]

Do you know the volume of a cone formula?

[alpine sable]

Yes

Its 18

[loud barn]

I know but the formula to find the volume

[alpine sable]

OH

[loud barn]

Haha

[alpine sable]

V=1/3pi r^2h

[loud barn]

Alright so let’s play in what we know

Plug*

[alpine sable]

Ok

18(3.14)= 1/3(3.14)r^2h

[loud barn]

Ok so because you have a pi on both sides that you are multiplying, what can you do to them

[alpine sable]

Multiply

[loud barn]

Remember you are trying to get the variables by themselves

[alpine sable]

Yh

[loud barn]

Wait I’ll explain it better

We want to get the r and h by itself

What can we do with the pi on the right side to get rid of it

[alpine sable]

Multiply thr ywo

The two numbers

[loud barn]

You would do the opposite

[alpine sable]

Then divide?

[loud barn]

Since you are multiplying the pi on the right side

To get rid of it

[alpine sable]

Mhm

[loud barn]

You would do the opposite

So you would divide the pi on the right side to get rid of it

Since the opposite of multiplication is division

[alpine sable]

So 18=r^2h?

[loud barn]

Yes!

Don’t forget to keep the 1/3 tho

We didn’t get rid of that yet

[alpine sable]

Oh yh

18(3.14)=1/3r^2h

[loud barn]

Yep, and what you do to one side you have to do to the other

So since you divided by pi on the right side

You would do what to the other side

[alpine sable]

Divided 1/3?

[loud barn]

No you divided pi to get rid of it remember?

[alpine sable]

Yh

[loud barn]

So you need to do that to the other side of the equals sign

So the 18(pi)

[alpine sable]

Multiply?

[loud barn]

Divide

[alpine sable]

But then

[loud barn]

Because you divided the pi on the right side

[alpine sable]

How u gonna get the others

If u cant move them to the other side

[loud barn]

18pi divided by pi is 18

And pi(r^2) divided by pi is r^2

Do you see how that works

[alpine sable]

A little

[loud barn]

Since you were multiplying with pi on the 18, you divide it by pi to get rid of it

So you would just be left with 18

[alpine sable]

Im hella

Confused

[loud barn]

Haha alright no worries

Let’s go back to the initial problem

[alpine sable]

Okk

[loud barn]

18(3.14)= 1/3(3.14)r^2h

And our goal is to find what r is and what h is

Which means we want to get r and h by themselves

So we would need to remove the 1/3 and the 3.14 and the ^2

Does this make sense so far

[alpine sable]

Ok

Yh

[loud barn]

Alright, so let’s start with the 3.14

1/3(3.14)r^2h

Do you know how we would get rid of the 3.14 in this section

[alpine sable]

Multiply

1/3

And 3.14

[loud barn]

No

You need to divide the whole section by 3.14

So 1/3(3.14)r^2h divided by 3.14

Is 1/3(r^2h)

[alpine sable]

Mhm

[loud barn]

So i canceled the 3.14 out by doing that

Since you were initially multiplying by 3.14

You have to divide by 3.14 to remove it

So now we have 18(3.14)=1/3(r^2h)

[alpine sable]

Ok

[loud barn]

But as the rule goes, what you do to one side you have to do to the other side of the equals sign

[alpine sable]

Divide

[loud barn]

So since we divided with pi on the right side of the equals sign

We need to divide on the other side

So 18(3.14) / (3.14) =?

[alpine sable]

so

18?

[loud barn]

Yes

Do you understand why i divided with pi on that side

[alpine sable]

Mhm

[loud barn]

Ok now we have 18=1/3(r^2h)

Let’s get rid of the 1/3

[alpine sable]

Yh

Divide

[loud barn]

What’s the opposite of 1/3

[alpine sable]

3/

1

[loud barn]

Yes 3

And since 1/3 is division

The opposite of division is?

[alpine sable]

Multiply

[loud barn]

Yes so you would multiply the 1/3 by 3

And since those are opposites, they cancel eachother out

Same with the pi how we divided the pi to get rid of it since it was originally used for multiplying

[alpine sable]

Mhm

[loud barn]

And since you multiplied the right side by 3, what would happen with the 18

[alpine sable]

Uh

We multiply with it

[loud barn]

Remember what you do to one side you have to do to the other

So if we multiplied the right side by 3

What do we do to the left side, which is 18

[alpine sable]

Multiply

[loud barn]

Multiply by what

[alpine sable]

Pi ??

[loud barn]

Multiply by 3

[alpine sable]

Ok

[loud barn]

Can i send you a helpful video in dms?

[alpine sable]

yh

I know the answer is -ln(sin(x)) + C

how do I get there through u-sub though?

so far I have u = cot(x) and dx = -du/(csc(x))^(2)

[muted raft]

You need to first apply trigonometric substitution

[alpine sable]

oh so like change cot for cos/sin?

[muted raft]

so it would be cos(x)/sin(x) then u sub for sin(x)

[alpine sable]

aaah ok

perfect

thank you

[muted raft]

You're welcome.

[alpine sable]

Sorry for asking sm

Can i get help

[muted raft]

I am sure there is just a formula for this.

[alpine sable]

Yes

V=1/3bh

But

The base

Is my concern

[agile compass]

Volume of a prism is just base times hight

[alpine sable]

There is extra info in here

Yes ik

But

There is extra info

[agile compass]

You need to find the area of the top triangle

[alpine sable]

How

[teal rune]

In Triangle ABC, m<B = 90 degrees, m<A = 25 degrees, and a = 18 in. Find b.

does anyone know how to do this

[agile compass]

The side and hight of the triangle are already given

And remember that A = 1/2bh

@alpine sable

[alpine sable]

so

Do i do 48 times 50?

@agile compass

[agile compass]

Don't forget the 1/2

[alpine sable]

So its 800