help-0

[rapid dock]

Whatd u get?

[tough tangle]

length of red line is ||sqrt(299/11)||

[rapid dock]

For ur answer I understand the method kind of

Red line is 5?

[tough tangle]

do not round the answer

you havent calculated area yet

use exact values

[rapid dock]

What is it?

[tough tangle]

i already told you length of red line

now find area of two triangles formed by the red line

you know all 3 sides of those triangles

[rapid dock]

You didn’t its blurred

[ionic jewel]

click it

[rapid dock]

Is ur final number a radical?

Or a whole number/decimal

2 root 30?

@tough tangle

[tough tangle]

very good

you did it

yes the final answer of that should be 2 sqrt(30)

[rapid dock]

My answer cant be a radical however

See the blank? Whole number or decimal

[tough tangle]

so turn it to a decimal

round 2sqrt(30) + 6 to a decimal

[gritty tulip]

Can someone help me solve for the measure of angle A

[vale wigeon]

have you heard of the inscribed angle theorem?

[gritty tulip]

No

[wooden cloud]

how is this solved using u-substitution

this is what i got but apparently it's wrong

[gritty tulip]

@vale wigeon what is that theorem and how do I use it

[vale wigeon]

the theorem says that an angle inscribed in a circle (such as your A) is equal to half of the arc it rests on

[gritty tulip]

So 90/2 = 45 so it’s true?

[vale wigeon]

yes

[gritty tulip]

Thank you very much, I appreciate the help

[warm bone]

How can I factor 6x^4-15x^2?

[wooden cloud]

factor out 3x^2 from it

[warm bone]

Okay, I'm just not sure what it looks like after?

Is it

3x^2-12x?

[warm bone]

Hmm

I see

Wait

So the answer is 3x^2(2x^2&5)?

And not the other one?

[wooden cloud]

yes

[warm bone]

Ok

[wooden cloud]

i dont know what the & is for tho

[warm bone]

So you take the number you can distribute

Then multiply it by

[wooden cloud]

its kind of like taking greatest common denominator

you're looking at what numbers they have in common and then pulling it out

[warm bone]

So what if we do a different example like

8x^4 + 24x

The greatest common denominator is 8x

[wild wedge]

u can factor out 8x

[warm bone]

Right?

[wild wedge]

yessir

[wooden cloud]

yep

[warm bone]

Ok

So when I factor out the 8x

[wooden cloud]

yes but dont call it that lol

[warm bone]

What's the term for it?

[wooden cloud]

the factor

[warm bone]

Ok

[wild wedge]

largest factor i guess

[wooden cloud]

you're factoring out 8x from the expression

[warm bone]

Yes

[wild wedge]

but generally u always factor the largest one out unless ur trying to do something tricky

[warm bone]

So when I factor the 8x out

How do i know what to change?

[wild wedge]

well

[warm bone]

Im not sure how to take it out

[wild wedge]

8x^4 = 8 * x * x *x * x

what would be left

when u take out 8x

[wooden cloud]

focus on the coefficients (numbers) first

[warm bone]

x^3

[wild wedge]

yep

now do a similar thing

for 24x

u can think of that as

[warm bone]

Okay

[wild wedge]

8 * 3 * x

take out 8x

[warm bone]

I'm left with 3

[wild wedge]

and then u have the expression 8x(x^3 +3)

[wooden cloud]

divide by the factor if that helps you think of it in another way

[warm bone]

Alright

[warm bone]

Ok

[wild wedge]

any other questions or can i use this channel?

[warm bone]

No I'm good

Thanks you guys @wild wedge and @wooden cloud

[wild wedge]

alright

all g

anyone can help me with c)

[wooden cloud]

np

[wild wedge]

omfg

[hardy geyser]

Oops

[wild wedge]

hahaha

thats pretty sus man

anyways

https://cdn.discordapp.com/attachments/490557019623915520/831200188797419540/unknown.png

help c) pleasss

i can say what ive tried so far

if it helps

[plucky cipher]

Can anyone help me with this I’m stumped

<@&286206848099549185>

[alpine sable]

As triangles are similar , GI/IK = HI/IJ

[plucky cipher]

So how would I find the value of X?

[ionic jewel]

$5a=6$ and $8.5a = x$, where $a$ is some scalar

[ocean seal]

bunny

[ionic jewel]

since the triangles are similar you know the corresponding sides are scalar multiples of each other

[jovial knoll]

this is the book i am using if you take a look to the left you can see the chapters. Should I skip limits and start with derivatives?

[plucky cipher]

But 8.5 isn’t an answer choice... @ionic jewel

[ionic jewel]

8.5 also isnt the answer

[plucky cipher]

Oh

[ionic jewel]

no you shouldnt

you need limits

[jovial knoll]

ok

thx

[ionic jewel]

like you can get away with it for now, but you will need them later in calc

[jovial knoll]

oh ok

i will do it then

[ionic jewel]

👍

[wild wedge]

can i get some help on my question if u can bunny

[ionic jewel]

if you post it i can see if i can help

[wild wedge]

https://cdn.discordapp.com/attachments/490557019623915520/831200188797419540/unknown.png

part c

[jovial knoll]

also do i skip the chapters up to limits because i know the other stuff like functions

[wild wedge]

bruh are u reading it for fun or for school

if for fun do what u want

[warm bone]

LOL

[ionic jewel]

i could probably answer that if I needed to, but ur gonna have to find someone more qualified i dont feel like learning that stuff

[wild wedge]

if for school read what they say not us

yeah fair enough

[ionic jewel]

skim them and skip if you already know, if its in the book you should know it

they do some funky stuff with functions you might not know

[devout seal]

ignoring the integral part is this the same as sin(x)^4 dx
?

[hidden hearth]

Yes

[devout seal]

Thanks

[alpine sable]

$\frac {2+\sqrt{3}}{12}$

[ocean seal]

reefkeef

[alpine sable]

need help simplifying this

so i multiplied this fraction by the conjugate of 2+sqrt of 3

$\frac {2+\sqrt{3}}{12} \cdot \frac {(2-\sqrt{3})}{(2-\sqrt{3})}$

[ocean seal]

reefkeef

[alpine sable]

and i got

$\frac {4-4\sqrt{3}}{24-24\sqrt{3}}$

[ocean seal]

reefkeef

[alpine sable]

im kind of stuck from there

[vale wigeon]

why even bother with conjugates in the first place

[alpine sable]

not sure honestly, thats what my teacher told me lol

[vale wigeon]

even so, (2+sqrt(3))(2-sqrt(3)) is not 4-4sqrt(3)

[alpine sable]

oh hm i think i foiled incorrectly then

[vale wigeon]

very much so

can i see the entire problem please

[alpine sable]

yeah, my work or just the problem?

[vale wigeon]

just the problem

[alpine sable]

$\frac {2+\sqrt{3}}{12}$

[ocean seal]

reefkeef

[vale wigeon]

...

[alpine sable]

oh sorry

[vale wigeon]

post the entire problem with ALL instructions

[alpine sable]

nr.73

i did a typo on the texit

but thats literally all the instructions this textbook gives me

[vale wigeon]

...

okay so

there is

absolutely zero need to muck around with conjugates

not every situation where you see a root added to a number calls for multiplication and division by the conjugate

[alpine sable]

i see

[vale wigeon]

(2+2sqrt(3))/12 = 2(1+sqrt(3))/12 = (1+sqrt(3))/6

that's it

[alpine sable]

oh hm

oh you factored the numerator

okay got it thank you!

[wild wedge]

ann can u provide any help on the question i posted

[alpine sable]

oh wait

[jovial knoll]

do i need to solve this to learn calculus?

[wild wedge]

no

also

[vale wigeon]

...

[wild wedge]

there is nothing to solve there

[vale wigeon]

god

there's like a dozen ppl in here

[ionic jewel]

welcome to #help-0

[alpine sable]

Hi

[jovial knoll]

wait i should probably read the context

[vale wigeon]

the curse of #help-0 ...

[jovial knoll]

lmao

[alpine sable]

honestly im not sure what you did ann

how did

Im new to the server

[wild wedge]

took the highest common factor from the numerator and denominator

[ionic jewel]

she divided everything by 2

[alpine sable]

ahh got it

ty

[wild wedge]

https://cdn.discordapp.com/attachments/490557019623915520/831200188797419540/unknown.png

part c

i get 8n not 4n

[plucky cipher]

Oh I got it. I think it was 10.2 @ionic jewel

[alpine sable]

Hi guys!
I have just started studying trigonometry and had a doubt

[ionic jewel]

thats right

[glass shuttle]

Hey uh can someone help me? Like explain what I need to do in order to solve this please?

[devout berry]

Hold on, can someone explain to me the Fermat-Euler Theorem?

[upper mesa]

@glass shuttle wdym?

1st part is basically saying d is a vertical shift

meaning that d transforms the original 2^x function by vertical shift

so compared to original 2^x

+d will move up or down that equation vertically

depending on what d is

[glass shuttle]

And what about part 2?

[upper mesa]

there is no asymptote

asymptote is when equation breaks like dividing by 0

the domain for x is all real numbers

oh wait

there is no vertical asymptote

there may be a horizontal one

hang on

so

[north hemlock]

There is most definitely a horizontal asymptote

[upper mesa]

yes there is

I was focusing on vertical

anyway

[north hemlock]

Oh oops sorry, I didn’t read all of it

[upper mesa]

well original 2^x has horizontal asymptote at y = 0

and since d shifts the function up or down

d defines where that horizontal asymptote is

for example

2^x (h.a is at y=0)

2^x + 1 (h.a. is at y=1)

@glass shuttle and so on and so on

[glass shuttle]

Thank you very much, it’s appreciated :’)

[upper mesa]

can anyone help me with this?

[plucky cipher]

Can anyone help with this? I’m stumped

<@&286206848099549185>

[alpine sable]

How i can calculate the mass of a cube
a = 3m

[jovial knoll]

Multiply the volume by the known density, which is the mass per volume.

[alpine sable]

thanks so much
when i saw these complicate math problems in these channels
i thought they are only for adults not for kids

@jovial knoll

[jovial knoll]

lmao

[alpine sable]

wdym?

[jovial knoll]

can you send the whole problem?

[alpine sable]

i mean

it's a exercise

not a document

[jovial knoll]

yeah can you send the exercise because thats how i know how to do it

[alpine sable]

i just asked my problem because i forgot to how to calculate the mass of a cube

is an example of my mind

[jovial knoll]

oh ok

the mass of a cube

[alpine sable]

so i can apply it to the homework

[jovial knoll]

wait what do you mean calculate the mass of a cube

do you mean density?

[ionic jewel]

triple integral of volume

[jovial knoll]

oh what lmao

i thought you just weigh it

[glass lichen]

is a all you're given?

[jovial knoll]

how does that even work?

[ionic jewel]

hes going to do volume * density

[jovial knoll]

oh ok

[alpine sable]

sorry guys
but i'm not an american
so i don't know how to say that

[glass lichen]

are you only given the side length of the cube?

[alpine sable]

is a cube

that means

the side length is 3 m

on all sides

[glass lichen]

is that all you are given in the question?

the side length of the cube

[alpine sable]

dude

at least i got the answer

[glass lichen]

Ok dont answer the question

[indigo glade]

two complementary angles means their sum is equal to 90

therefore you can easily find their respective values knowing that the ratio is 2:7

[proud apex]

Hey

its is ez question i guess

but idk

is (x-1) / (x+1) a polynomial

[glass lichen]

no, rational

[proud apex]

ok

so the 2nd question which 1 is it?

im confused

[blazing rose]

yeah

[proud apex]

yes

[blazing rose]

2nd question is asking which is a polynomial

[proud apex]

yes

[blazing rose]

did u get it figured out?

[proud apex]

no

im ok with question but the options confuse me

[blazing rose]

i think some of the choices can be simplified

like look at choice d

[proud apex]

ye

[blazing rose]

$\frac{x^2}{2} - \frac{2}{x^2}$

[ocean seal]

Josh.

[blazing rose]

multiply the left fraction by $\frac{x^2}{x^2}$ and the right fraction by $\frac{2}{2}$

[ocean seal]

Josh.

[proud apex]

oh

[jovial knoll]

yea make them the same base

so you can solve it

[blazing rose]

And we get: $\frac{x^4 - 4}{2x^2}$

[ocean seal]

Josh.

[blazing rose]

no wait

lmao

oops

[proud apex]

i see

[blazing rose]

no wait scratch that

arent these all polynomials?

[jovial knoll]

dumb question lmao

[proud apex]

no

[jovial knoll]

what else would you be solving for

[blazing rose]

oh wait yeah

[proud apex]

the exponent must be a whole number in a polynomial

well

[blazing rose]

so that means

A isnt a polynomial

[proud apex]

ye

[blazing rose]

ok so then yeah

i think i did it right

is d the answer

[proud apex]

d or b

well

[blazing rose]

ok lets look at b

[proud apex]

d

hm

ok

[blazing rose]

$\frac{x-1}{x+1}$

[ocean seal]

Josh.

[blazing rose]

hmm

yeah so apparently that isnt a polynomial

i think

hold on

a polynomial cannot have a term with a variable in the denominator

so a,b,d are wrong

lets look at choice c

we can simplify

3x^3/2 is the same thing as 3x*rad (x)

[proud apex]

ok

thx

[blazing rose]

do u understand?

[proud apex]

yes

[blazing rose]

$3x^3/2 = 3x^(2/2) *x^1/2$

[ocean seal]

Josh.

[blazing rose]

you split the exponent up

and then 2/2 = 1 so 3x * x^1/2

x^1/2 = sqrt(x)

then u cancel the sqrt(x) from the top and bottom

[proud apex]

hm

[blazing rose]

u get it?

[proud apex]

ye

[blazing rose]

ok great

[proud apex]

thx

[blazing rose]

np

[opal sentinel]

Hello guys, Im doing probability in specific exponential distribution. Do any of you know where that value of Lamba comes from

[queen wing]

It has a "^" or "hat", which means it's an estimated value.

Probably not found with the equation you have above.

Actually, definitely not, because it isn't a function with set variables.

You're just assuming what lambda is equal to, and punching that into the equation.

[opal sentinel]

Oh I see, thank you!

No wonder I couldnt figure it out

[vestal hollow]

Someone check my math for this question please!

https://cdn.discordapp.com/attachments/821535367136149527/831237347353952336/image0.jpg

At the top, I found the critical point within the boundary

Then from the middle to the bottom, I used the method of Lagrange multipliers to find four critical points at the boundary and evaluated T(x, y) at those points

[tardy portal]

do you know the formula for volume of a cylinder?

[urban tendon]

volume of a polygon is given by Base Area * Height

[obsidian timber]

if this is right, what do I do now?

[gray isle]

looks off, show work

[urban tendon]

Better to write roots as fractional powers, the denominator will cancel I believe

[glass lichen]

basically solve for all the angles in the 2 triangles

no labels so cant give a specific idea

[candid ridge]

It’s just solve

Solve x

[obsidian timber]

@gray isle

[candid ridge]

How do I solve for that

[gray isle]

your first step is already wrong

[glass lichen]

Like I said, you basically have to find all the angles to find x

[candid ridge]

i know

but how

formula?

[gray isle]

basic angle sums

[glass lichen]

angle properties

[candid ridge]

k thanks

[glass lichen]

the triangle with the 30 degree, the left most angle in that has a known measure, what is it?

[gray isle]

$\sqrt[n]{ab} \neq a\sqrt[n]{b}$

[ocean seal]

ℝamonov

[obsidian timber]

@candid ridge I hope It helps you

[candid ridge]

thank you

i got it

[gray isle]

$\cbrt{a} \neq \sqrt{a}$

[ocean seal]

ℝamonov

[obsidian timber]

oh wait

[alpine sable]

hello is this open?

[gray isle]

missing 3 there

[obsidian timber]

Yep

Ok now what

[gray isle]

um why did you cancel those 6th-root 2 like that?

[obsidian timber]

lol true, let me fix this

Ok I think I got it

is this right?

[gray isle]

would prefer you extend to top bar of your radical to cover those whole thing,
but other than that loks ok

[obsidian timber]

@gray isle thanks!

[pallid sail]

how can i factor x1=2*x2 so vieta's formulas become useable

[gray isle]

wdym by factor to make vieta's useable

[pallid sail]

like ive got a quadratic equation

i need to find m, where x1 = 2*x2

[gray isle]

well state the sum on products of roots

x_1 + x_2 = ?
x_1 * x_2 = ?

[pallid sail]

i have found x1 + x2 and x1*x2

[gray isle]

then make that substituion

which will result in a system of two equations with 2 unknowns: m and x_2
which should be solveable

[silent vapor]

I'm having a hard time determining if a and b are true

[jovial knoll]

what is a double factorial?

[jovial knoll]

does it go by -2 instead of -1

[silent vapor]

double factorial is a term invented for the purpose of this question

it's defined

ya it goes by -2 instead of -1

[silent vapor]

that's correct

[chrome monolith]

Channel taken?

[silent vapor]

I think so, if albert eistein himself is helping me

I appreciate that you asked

[winter bay]

I thought !! Is taking the factorial of a factorial

But whatever

[ionic jewel]

haha that confused me too until i read the problem

they really shouldn't use existing notation and give new meaning

[winter bay]

Mhm

They should just use ? Because their definition is confusing

[silent vapor]

I thought I was good w/ this problem set until I got to this question 😭

pretty sure d is right and c is wrong, but a and b are unclear

okay I'm pretty sure a is true as well

[jovial knoll]

lmao

[silent vapor]

nvm I think a is wrong

gonna go w/ bd

[jovial knoll]

how do i get the honorable math rank?

[stark furnace]

can anyone explain to me what this notation means?

[glass lichen]

F(b)-F(a)

evaluate at upper bound - evaluate at lower bound

[stark furnace]

what does the line mean?

[winter bay]

Just notation

U apply the top number to x first then the bottom to x and subtract the values

So if f(x) was x^2, b was 5, and a was 2, u would do 5^2 - 2^2

So u get 21

That's an example

Another version of that is a definite integral

[stark furnace]

and this is also the same thing right?

[winter bay]

Where u integrate then do the same thing

[blazing rose]

evaluate f(x) from a to b

i think

[winter bay]

Pretty sure

[blazing rose]

the line means evaluate i think

[alpine sable]

I wouldn't exactly call those the same thing...

[blazing rose]

idk

[winter bay]

Wait no

Yeah sry

U integrate f(x) wrtx then use the line thing on the integrated function

[alpine sable]

eh

[stark furnace]

Thanks for the help, i think I understand it better now. 👍

[waxen tartan]

help

[thorn kindle]

Draw a triangle.

[glass lichen]

it's the same as $\int_a^bf(x)\dd{x}=F(x)|_a^b$

[ocean seal]

moshill1

[alpine sable]

I think it's worth noting that this is the case if f is integrable on [a,b] and if F is an antiderivative of f on [a,b]

[native temple]

Any issues on these math problems from my recent exam>

Each “box” is a problem save for the guess and check section

[alpine sable]

what does "recent exam" mean?

,w e=mc

[ocean seal]

Results provided by WolframAlpha

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

Requested by NRG KxngSuger#4826

[alpine sable]

Your free

,w ec=m

,w e+c=m

[ocean seal]

Results provided by WolframAlpha

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

Requested by NRG KxngSuger#4826

[limpid spade]

#bots

[native temple]

It means an exam I did today

there are many problems

in it

[alpine sable]

s?stats messages

[languid basin]

Mathematics's Message Overview

Message stats in the past 60 Days. (Change with the s?lookback command.)

All times displayed by this bot are currently in the UTC timezone (GMT±0). The website graphs will adjust to your browser's timezone. ago.

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Command s?stats messages · Apr 12, 2021, 9:33 PM

[alpine sable]

s?stats messages

[languid basin]

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1st. @modest radish: 31,638 messages
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Command s?stats messages · Apr 12, 2021, 9:33 PM

[alpine sable]

s?stats messages

[languid basin]

Mathematics's Message Overview

Message stats in the past 60 Days. (Change with the s?lookback command.)

All times displayed by this bot are currently in the UTC timezone (GMT±0). The website graphs will adjust to your browser's timezone. ago.

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Command s?stats messages · Apr 12, 2021, 9:34 PM

[alpine sable]

#discussion

[native temple]

?.

[glass lichen]

@alpine sable #bots

[native temple]

sorry for waiting so long many things came up but

what are ypur thoughts on this @glass lichen

[glass lichen]

cant read it

[native temple]

this is my problems from my recent exam today zoom

zoom in

it’s easy to read

[limpid spade]

Check #math-discussion

[glass lichen]

it's sporatic and all over the place

it is not easy to read

[native temple]

each box is one problem

and the right side is guess and check

[glass lichen]

Oh now it's suddenly legible \s

[native temple]

any issues with it

also how to organize my problems better?

[gray isle]

write larger and clearer

maybe use a pen too. pencil. makes lines unecessarily thick

[native temple]

ahh I see

I’m sorry

@gray isle Can you still read it?

ibh pencil thick lines where very annoying

[gray isle]

potentially...

[alpine sable]

what are the questions?

[gray isle]

but I would much rather that you rewrite it

[native temple]

okay

[gray isle]

so that I don't have to activate my psychic powers

[native temple]

can you do that while I rewrote this?

[native temple]

Umm read them

[alpine sable]

I don't see how anyone is supposed to know what the question on the exam was just from this

other than you

[glass lichen]

I think there's a 7 in that?

[native temple]

63x^5/72x^6

i’ll rewrite it

better

so maybe I can “box” this better sorry

[alpine sable]

but what was the question

63x^5/72x^6 is an expression

[native temple]

what is 63x^5/72x^6?

[glass lichen]

a fraction

glad we could help

[native temple]

what?

[gray isle]

the combination of thick pencil lines, small writing, in addition to thick scribbles makes it hard to read

[limpid spade]

He wants to simplify that

[native temple]

Thank you

[limpid spade]

What's your answer

[native temple]

14a^9*b^8

[alpine sable]

and the question here...?

[glass lichen]

when the fuck did a and b join the party?

[native temple]

i’m not rewriting guess and chekc that wasn’t inteded to be readable

[native temple]

Who knows

[alpine sable]

ok I can guess what the question was

but it's still a mess

[limpid spade]

You can do (63/72)*(x^5/x^6)

[native temple]

sorry

[limpid spade]

Then simplify both

[native temple]

IDK how to organize this was my best attempt

[glass lichen]

dont make the page a free for all

[native temple]

i’m rewriting know without guess and check

[limpid spade]

What's a guess and check

[native temple]

just like

writing out 6/2

or 9^5

[limpid spade]

What

[native temple]

or finding what the sqrt(n) is.

should’ve used it more...

[limpid spade]

I'm lost

[native temple]

okay

ummmm sigh Please explain how to make your problems readable

I didn’t know how

[limpid spade]

By writing each problem in a row

Like 1)blablablablabla
2)loopopooooo
3)cowchicken

Etc

[native temple]

ohhh

I see

I can do that

[native hill]

guys can i send my homework quastion?

[glass lichen]

the blunt answer is just write normally

[native temple]

sure

my progress

[native hill]

find the number in the polar plane and express it in Cartesian form

[native temple]

arabic???

oh

[native hill]

i can not find cartesian form

[glass lichen]

the co-efficient of i is the imaginary component, so the vertical part

[limpid spade]

1 is wrong

(3a^3b)^2 is not 3a^6b^2

[native temple]

ot isn’t

(3a^3)is = 3a^3*2

unless I was supposed to output 9a^3*2

[limpid spade]

(3a^3) is 3a^3

[native temple]

how to organize the paper so I can do things like multiplication and long division. by hand and it still be readble?

[glass lichen]

give an example problem and I can write it out

[native temple]

okay

here’s one

[native temple]

simplify 768^1\4 - 3*3^1/4

@glass lichen

[alpine sable]

im learning variables i need help please.

[native temple]

okay i’ll help

[alpine sable]

Thanks.

[glass lichen]

$\frac{768^1}{4}-\frac{3\cdot3^1}{4}$?

[ocean seal]

moshill1

[alpine sable]

Its asking me to

Write the operation(s) and algebraic expression

[native temple]

but like finding the factors and everything takes long division and tree diagrams....

[glass lichen]

is that the question?

simplify what I tex'd?

[native temple]

yes

that’s one yep

[glass lichen]

ok

[native temple]

subtract radicals

[glass lichen]

there's no radicals

[native temple]

it was written as a radical

[glass lichen]

it wasnt

what you wrote was not a radical

[native temple]

in my exam it was I typed it out as a fraction

[glass lichen]

$\sqrt[4]{768}-3\sqrt[4]{3}$?

[native temple]

so I could type it on my ipad

[ocean seal]

moshill1

[native temple]

yes

that’s it

[glass lichen]

ok

[native temple]

@alpine sable

[native temple]

I’ll solve it for you to.

[alpine sable]

is that the answer or the expression ?

[native temple]

that’s the experssion

[alpine sable]

thanks

[native temple]

I didn’t know that so I went through a long process of long division

via tree diagrams

[glass lichen]

yeah you'd prime factorize it off to the side

~~my calculator can factorize numbers so ~~

[native temple]

That was what guess and check was for I just didn’t use it

[glass lichen]

point was just to show neat working

[native temple]

lol

I see makes sense

[alpine sable]

How do you know the difference between the two lines in %?

[glass lichen]

then if you feel the need to seperate the page, just draw a horizontal line

[native temple]

oh

[glass lichen]

leave a space if you need to write some logic in

[native temple]

so draw horizontally or vertically to separate in other words write normally I see

makes sense

@alpine sable

okay here’s the answer now here’s something cool

a can susbstituted with X

as they’re the same kind of variable the output one

[alpine sable]

thanks im getting help right now.

[native temple]

i’ll help you

[native temple]

where’s the point where they cross

[thick shadow]

My brain is being exceptionally stupid tonight

I just need to know, if I have something like 5x^4 and x is -1, then the answer is 5, yes? because -1^4 is 1?

[alpine sable]

0

the start

from 0

[native temple]

okay I have the equation for one which is y = x

the blue line

I can’t tell the other

[alpine sable]

I found a video about it, is this right ?

[native temple]

direct variation?

[alpine sable]

yes

[gleaming granite]

yes

[thick shadow]

Thank you, my brain turned off for some reason

and my calculator kept giving me -5 and I couldnt figure out why

[gleaming granite]

that's probably because of parentheses

[ocean seal]

keto11

keto11

[thick shadow]

Ah, thank yo uketo 🙂

[ocean seal]

keto11

[thick shadow]

That makes sense, and really I should know that, being as I have taken multiple classes for programming, my brain is just tired of calculus tonight, so it's trying to turn off

[native temple]

Thanks for another point

i’ll figure out the slope using point slope

[ashen wave]

Is anyone here familiar with the x=-B/2A formula (AOS)?

[gleaming granite]

for the vertex form of a quadratic?

[charred flint]

ye

[ashen wave]

yeah I need help converting a word problem into the equation to actually solve it

heres an example of one of them-

In professional fireworks displays, aerial fireworks carry “stars” upward, ignite them, and project them into the air. Suppose a
particular star is projects from an aerial firework at a starting height of 520 ft. with an initial upward velocity of 72 ft/sec. A) How long
will it take for the star to reach its maximum height? B) How far above the ground will it be? The equation h = −16t

2 + 72t + 520

gives the star’s height h in feet at time t in seconds. Since the coefficient of t
2
is negative, the parabola opens _________, and the

vertex is a ________________________________.

we filled in the blanks in class

[charred flint]

ok so convert to vertex form, C(x-b/2a)^2+D

[ashen wave]

oop

what xD?

I dont think we are doing vertex form yet tho

[charred flint]

oh sure

so x=-b/2a is the max point

b is 72 a is -16

[ashen wave]

hold on let me write this down

alright

[charred flint]

er x is t here

so t=-b/2a

and that's where the vertex is

so you can plug t into h(t) to get the height too

[alpine sable]

help

[ashen wave]

wait how did u get 16

ohhhh wait nvm

[placid stag]

What is C?

[charred flint]

(m choose t)

or m!/t!/(m-t)!

[spring harbor]

From a deck of 32 cards (2, 3, 4, 5, 6 have been removed) we draw 3 cards at the same time and randomly. Calculate the probability that exactly 1 card is an Ace.

Kinda stuck on this one, help is appreciated.

[placid stag]

there are 4 aces and the other 28 are not aces

so you need to choose 1 ace and 2 none ace

[spring harbor]

Yeah

[placid stag]

( 4 choose 1 ) * ( 28 choose 2) = 1512 probabilities

total probabilities = 32 choose 3 = 4960 probabilities

[spring harbor]

And then divide it by 32C3

thanks it was more simple than i thought

[placid stag]

yup

You're welcome

[lethal wolf]

help

[ionic jewel]

i cant tell exactly what you are doing but have you plugged it into a calculator to check if you have the right answers?

[lethal wolf]

am i supposed to add the sides of the triangle and subtract them from 15x-3?

[wise comet]

Yes @lethal wolf

[lethal wolf]

thanks

[wise comet]

Perimeter is the sum of the lengths of the edges, so the missing length is the difference between the given perimeter and the sum of the two known lengths.

[lethal wolf]

Thanks man

[wise comet]

No problem 👍

[alpine sable]

Hi

what is 2x+5+7=0

[ionic jewel]

x = -6

[full steeple]

Can anyone help guide me in the right direction on how to approach this?

[ashen wave]

can anyone explain in full detail how to find the answer to this- 5x^2-33x-14

I dont get how to factor quadratics

[glass lichen]

there's no answer with no question

[ashen wave]

oh oops

[raven rover]

$5x^2 - 33x - 14 = 0$ ?

[ocean seal]

Pink Gradient Man

[glass lichen]

Ok so 2 numbers that multiply to -70 and add to -33

[ashen wave]

where did you get 70 from ;-;

[glass lichen]

5*(-14)

[ashen wave]

oh

[glass lichen]

-35 and 2 work

since -35+2=-33 and -35*2 = -70

so -33x=-35x+2x

$5x^2-35x+2x-14$

[ocean seal]

moshill1

[ashen wave]

Ok that helps but I think our teacher is making us put it into parenthesis

[glass lichen]

yeah ik

what can you factor out of the 1st 2 terms?

[ashen wave]

uhm 5

[glass lichen]

and?

[ashen wave]

7

oop

[glass lichen]

you can factor 7 out of 5x^2?

[ashen wave]

no xD

[glass lichen]

so 5 and what else is common between 5x^2 and -35x

[ashen wave]

1?

[glass lichen]

well yeah, but that's trivial

x^2 and x both have an x

[ashen wave]

right-

[glass lichen]

so you can common factor 5x from the 1st 2 terms

$5x(x-7)+2x-14$

[ocean seal]

moshill1

[glass lichen]

then the 2x-14, what can be factored out of those?

[ashen wave]

2

[glass lichen]

right

$5x(x-7)+2(x-7)$

[ocean seal]

moshill1

[glass lichen]

so then both of those terms have a (x-7) so we can factor the binomial out and get $(5x+2)(x-7)$

[ocean seal]

moshill1

[ashen wave]

gosh your so good at this

alright thank you

[glass lichen]

and then that process repeats for any quadratic with rational roots

[ashen wave]

I need to write this down in my notes haha

ok thanks

[keen wasp]

any1 know how to do this

the answer is A, help would be greatly appreciated

is it the derivative of distance formula?

[glass lichen]

you want to minimize distance, yes

[keen wasp]

ok thanks

[willow bluff]

Can someone check to see if my Y is right. And can someone help me for X?

[charred flint]

thats right

for 30-60-90 triangles the small side is half the longest side

[keen wasp]

does any1 know what the exact formula would be

i tried

but that has no roots

[glass lichen]

,w solve e^x+2x-4=0

[keen wasp]

wouldnt you need the roots of the derivative to find at which x value there is a minimum

[glass lichen]

yes

I mean push comes to shove just see which point out of the options has the minimum distance formula

[keen wasp]

yeah but i wanna figure it out legit

in case a similar problem is on an frq

[glass lichen]

Yeah desmos says there's a min at .841

[willow bluff]

Would my X be right and if it is. How would I find Y?

[near seal]

nah

[keen wasp]

thank you so much i get it now

[near seal]

In a 30, 60, 90, the side opposite the 30 is x, the side opposite the 60 is x * root 3, and the side opposite the 90 is 2x. So if the side opposite the 60 is root3, then x is 1 and y = 2x which means y = 2

@willow bluff

Can anyone help me thru this

[charred flint]

sure

[near seal]

Ik the first thing I have to do is change infinity to like b

[charred flint]

e^0=1 and e^-infinity tends to 0

[near seal]

yea

im confused

now what

[charred flint]

oh are you on step 1

e^x integrates to e^x

but since there's a -8 by the x you divide by -8

[near seal]

okay

e^-8/-8?

[charred flint]

yea

e^-8x/-8

and do the (x=inf) - (x=0) to get your answer

[near seal]

x= 0 = 0

[willow bluff]

I was in the process of doing this and I got lost

[charred flint]

nah x=0 gives e^0

[near seal]

oh yeah

[charred flint]

or e^0/-8

[near seal]

so -1/8

[charred flint]

yup

and the inf one is zero so it's 0-(-1/8)=1/8

[near seal]

gotcha

and since its a finite # it converges?

[charred flint]

right

the (x=inf) term had a finite limit so it's fine

[near seal]

alright thanks

[keen wasp]

sorry my friend has another question lol. when i do this problem, i get the answer from A * the derivative of sqrt x

but the answer is a according to the book

[glass lichen]

chain rule

[keen wasp]

yeah the book isnt applying chain rule i thinkl

but im not sure cus i dont think the book wud be wrong

[glass lichen]

they probably just evaluated (fog)(x) then took the derivative

[keen wasp]

so do u think the book is wrong?

[uncut osprey]

A looks to be right to me

I see no issue

[near seal]

Okay so, in an equilateral triangle, all the angles are 60 degrees so essentially you created a 30,60,90 triangle and the height of the triangle is = to x root 3 since its across from the 60 degree angle and x is 11 since thats whats across from the 30 degree angle. The height is 11 * root 3 after you plug it in and then you do 1/2 base times height and get the area of the triangle.

[glass lichen]

,w d/dx 1/(x+1)

[ocean seal]

Results provided by WolframAlpha

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

Requested by moshill1#9771

[glass lichen]

yeah A is right

[keen wasp]

but dont u need to multiply by the derivative of sqrt x

[uncut osprey]

For me, when working with derivatives of anything I like to simplify the equation to its fullest before applying it

I would just find the equation of f(g(x)) first before anything

and then apply the derivative on top of that

Also there is no chain rule here

[keen wasp]

OH I SEE

ok

wait nvm i dont

oh i get it now

thanks for your help guys

[willow bluff]

Is it 209?

[uncut osprey]

np

[near seal]

Yeah it is

209.6

[uncut osprey]

Does nate need to do this only by knowing special angle identities?

[near seal]

I assume so

[willow bluff]

Yea they don’t teach us sin

[daring rapids]

can someone please explain what permutations are?

[willow bluff]

On double triangles in one what would I do?

[daring rapids]

like formula wise

[charred flint]

dang gif won't load

[near seal]

See this makes sense

[charred flint]

formula is n!/m!

[near seal]

but why is this now 1

[uncut osprey]

gif's don't copy properly if you copy the image

[near seal]

wouldnt it be 1- 1/t t= 1, so 1-1/1= 1-1 = 0?

[daring rapids]

please explain further

i don't know how to spell

thanks

[charred flint]

you got n things and want to make a row of r with them

[daring rapids]

ok?

[charred flint]

so you look at it one section of the row at a time

[brisk spindle]

Does anyone speak a little french here? I would need help

[charred flint]

first position could have n things

second could have n-1 things

[daring rapids]

a very small amount

[charred flint]

so the formula is n(n-1)... r terms

[near seal]

You could try

[daring rapids]

im still confused thanks though

[near seal]

My 7 years of school french might work out or might not lol

[daring rapids]

oh woah ive only done 2 years of french

[charred flint]

and that's n!/(n-r)!

[near seal]

If you take into account level of my courses ive probably only taken like 5ish years

[brisk spindle]

In fact I was given an exercise to do but I don't understand

[daring rapids]

thanks but i still don't understand ill ask the teacher

[daring rapids]

what is it?

[brisk spindle]

if u need traduction tell me

[near seal]

Redige = ?

[daring rapids]

je ne comprand pas

[near seal]

lol

[daring rapids]

mais je pense que ils dit l'object que a le plus chocolat?

AAAaaaaa je ne parle francais reererererere

[brisk spindle]

I am asked which food contains the most chocolate

[daring rapids]

sayonara

[brisk spindle]

yes

[near seal]

Oh

[coral pagoda]

I see you have encountered the most important question in the universe.

[brisk spindle]

no not that much

[tight locust]

idk. does chocolate itself count as food?

like pure chocolate

[coral pagoda]

If you can tell me what food has the most chocolate, let me know. This is important research

[near seal]

I got this lol

[coral pagoda]

You sure do. I just saw an opportunity to say a silly thing, so I took it 😎
Take it over from here Mg! 😄

[near seal]

Dacc,
Pour le Canne a sucre, il a cinq carres et chacun 25 grammes, alors 5* 25= 125 grammes chocolat.
Pour le Banane verte, il y a 280 grammes mais il y a 10/17 * 280 = 164.7 grammes de chocolat.
Pour le Coco sec, il y a 150 grammes mais quatre vingt dix pour cent est chocolat donc 150 * .9 = 135 grammes de chocolat dans l'oeuf.
Pour le Corossol, 4 euros = 100 grames donc 1 euro = 25 grammes donc 5.6 euros = 25 * 5.6 = 140 grammes de chocolat.
Je pense que je me trompe peut etre pour le Banane verte mais j'ai essaye

[cosmic stream]

It seems questions 1 is kinda dead and this channel doesn’t have any active questions can someone help me over there?

[near seal]

@brisk spindle

[tacit breach]

Looks empty,

in a school, 36 percent of the students own a cellphone and 24 percent of the students own a cellphone and a pc. What is the probability that a student owns a pc given that the student owns a cellphone?

shiii

[muted kite]

Number 15, how would go about to solve for k?

I remember doing this in my homework but I threw it away and the internet doesnt have any sources to teach this

[dire wren]

two equal roots means two equal zeros

you should get it in the form of (x+k)^2 where k is a number

use the formula $(a+b)^2=a^2+2ab+b^2$

[ocean seal]

Bobatuzi

[muted kite]

Number 15 sry

In the middle

[dire wren]

oopw

use the remainder theorem

[cosmic stream]

Can I have some help with this

I don’t know how to get the rest of the values

[muted kite]

Ohhhh I see, everythings starting to piece together now

Ty

[dire wren]

yeah

[foggy onyx]

what is sequences

i need a lighter answer than google

[gleaming granite]

A set of numbers that have a patter relating them

for example: {1,2,3,4,5,6,7,8,9}
this sequence takes an initial value n and adds 1 to the next number {n, n+1, n+2...n+8}, in this case n=1

[foggy onyx]

Okay thanks.

Then what is "series"?

[gleaming granite]

it's when you do it infinitely many times

[wise comet]

A sum of numbers (typically from a sequence)

[waxen harbor]

How would i get m1/m2 from the equation M1R1^2 = M2(8.8R1)^2

I'm bad at algebra 😦

[brave aurora]

Can someone explain the answer to part B to me?

[ebon relic]

IMPORTANT: Do not accept the friend request from SirTZN # 7668. He is a hacker. Tell everyone on your friends list, because if someone on your friends list adds one of them, they will also be on your list. They will determine the IP address and the address of your personal computer, so copy and paste this message wherever you can. He goes around sending friend requests to random discord users and those who accept his requests will be exposed to their accounts and IP addresses. Forward the message and send it to as many servers as possible. When you see this user, DO NOT accept their friend request and block him immediately

[ebon relic]

Idk I am only in 8 th ;(

[brave aurora]

then dont answer dummy 🙂

[tough hatch]

these messages are getting old and the same as before lmao

@brave aurora displacement is how far the particle is from the origin along the y-axis

[brave aurora]

why did they not use the fundamental theorem on it?

like F(3)-F(0)

[ocean seal]

!superficialsicko

[tough hatch]

v(t) is the derivative of s(t), which gives the position of the particle

i.e. the displacement

displacement is position of the particle PLUS its direction of travel

which is why it is a definite integral (marks the direction)

[gleaming granite]

Look at the graph for why they didn't use the FTC, it's all straight lines no curves with changing slopes

[brave aurora]

Ah I see

[brave aurora]

gotchu thank you

[tough hatch]

i.e. it's not differentiable all throughout

[hardy geyser]

<@&286206848099549185> how do you know your suppose to multiply

[vale wigeon]

you shouldn't ping helpers right away

[lone heart]

From

#❓how-to-get-help

Rule 4

If your question has not been answered for a minimum of 15 minutes, you may use the Helpers tag once. Please do not try to bump your question using this ping unnecessarily. Do not abuse this ping. Do not individually ping users with the Helpers tag without their express permission.

[vale wigeon]

but in any case, converting 15% into a fraction may help.

[weary lantern]

need help with this question

<@&286206848099549185>

[crisp adder]

Hi -- how should i show that this series

diverges?

i've tried a lot of tests

[uncut furnace]

u have to

then you

[thorn kindle]

Lim f(x) -> inf ?

Yeah that goes to 0

Limit test is inconclusive

Ratio test?

[manic quail]

How the heck did you find out so quickly that the limit test doesn't work?

[limpid spade]

Big brain

[thorn kindle]

Wow

Ratio test doesnt work either

Inconclusive

Try comparing with harmonic series

[alpine sable]

is it even a series?

[manic quail]

Root test works.

[jovial quail]

hello, i have a question. im currently doing a course and the lecturer said this: why is it true? how much faster would doing the other methods be than doing it the regular way?

[thorn kindle]

This is more CS than math but yeah that recursive definition is a lot faster especially with memoization

[jovial quail]

why would that be the case?

[manic quail]

bruh, I am too dumb to type the correct series.

[jovial quail]

also sorry if this is the wrong server or smth, i just saw it in this math lecture so i thought i might ask

[alpine sable]

I'm still confused on what the question was

is it a series or a limit?

[manic quail]

Series.

[alpine sable]

this isn't a series though (or a limit)

[manic quail]

But he said series.

[thorn kindle]

Because its less operations. Provided that you actually know (n-1,k-1)

[alpine sable]

x as the dummy variable for a series

with no sigma included

[jovial quail]

ah ok, so are you saying that if i know the previous values, then i can recursively figure out the value of (n k)?

[alpine sable]

how does this show the series diverges like they asked?

[manic quail]

I typed the wrong series.

not 2x, but 2/x, and then the root test doesn't work anyway, but that was expected.

[thorn kindle]

@jovial quail yes.

[coarse crag]

What does it mean for something to "carry an action of a symmetric group"? I know what the symmetric group is, but I'm not familiar with the "carry an action" terminology.

[thorn kindle]

Context?