help-0

[split trail]

@alpine sable tysm

[alpine sable]

@rich basindo you want to go to video call

voice call

in mathematics

[rich basin]

okay sure

[little cape]

i got the answer 0.1354. can someone pls tell me if they are getting the same answer?

^0.1354 is wrong apparently

[prime sparrow]

Could someone help me with this question please?

[fringe spindle]

6! x 35 (the 5th tetrahedral number since after placing books 1 and 3, you then have 5 positions 5, 6, 7, 8, 9 to place the remaining book; this arrangement can be shifted along each position with one less at the end each time) x 3P3 for the arrangements of Conrad books.

[thorn sundial]

could y'all help me with this

[alpine sable]

Maths is based

[sharp sigil]

0.5 + x/5 + x = 0.3, where x is amount of antifreeze to be added

[tight locust]

(0.5 + x)/(5+x) = 3/10

parantheses

[split oriole]

What is i here?

[carmine reef]

sqrt(-1)

[alpine sable]

can i use the channel ?

[thorn sundial]

i got it already

[alpine sable]

what does this mean

wait actually

[royal shard]

f is a function that as input takes elements of E (where E is a subset of R n), and returns real numbers

[alpine sable]

ooooooo

makes sense

thanks thanks

[vale wigeon]

do you think the gcd should be something else?

2x^2 = 2 * x^2
9x^3 = 9x * x^2

that's how

[cinder finch]

Oh wow, you explained it better than I could ever 😅

I usually add extra steps for no apparent reason

[vale wigeon]

$2x \cdot x^2$ would be $2x^3$

[ocean seal]

Ann

[vale wigeon]

???

what?

i don't know what you mean by "no matter the exponent it's always x^2"

are you talking about the more general case of gcd(ax^m, bx^n)?

i illustrated to you how x^2 is a factor of both your monomials

???

you asked why gcd(2x^2, 9x^3) = x^2

i factored x^2 out of both 2x^2 and 9x^3 in front of you

you have it the wrong way around

it's how many times x^2 fits into x^3

and the answer to that would be x

of course??

x^2 * x = x^3

you know how exponents work, do you not?

nobody said x was 1

x is x

no

x^2 is the same as x * x, yes.

by definition

yes, sure, x^3 = x * x * x

you misunderstand

x * x is not "two x's"

it's not 2x

7 fits evenly into 21 because 7 * 3 = 21
x^2 fits evenly into x^3 because x^2 * x = x^3

there is none

no the coefficients are just independent of the exponents

3 * 3 * x * x * x

right here

yes there is, so what?

there is no remainder...

a remainder would be something added

but there's no addition happening here

[prime sparrow]

can someone explain me how the square root of 22 is an irrational number

[rich basin]

all irrational number are number that cannot be divided by an integars

what integars can square root of 22 be divided by? There is none, hence it is an irrational number

[vale wigeon]

this is very bad wording

very bad

@prime sparrow have you seen the proof that sqrt(2) is irrational? it can be adapted to work for sqrt(22) with some modifications

[prime sparrow]

ive seen it on khan academy

[vale wigeon]

generally the square root of any integer that isn't a perfect square is irrational

[prime sparrow]

ok

ye

i understood it

from the proof

just wanted to make sure it was real

here

[vale wigeon]

idk how to clear up your confusion here

[carmine reef]

what's 2^3

[vale wigeon]

do you also think 27 is not divisible by 9?

"i'm seeing it like 27 = 3 * 3 * 3 = 3 threes and 9 = 3 * 3 = 2 threes and 2 threes don't fit into 3 threes"

this is what you sound like rn

[carmine reef]

so mean :P

[vale wigeon]

i'm trying to help

[carmine reef]

this is the right channel

ik

[vale wigeon]

by pointing out flaws in your reasoning

you can and should tell me "fuck off i don't need your help and i think you should die" if you want to tell me that right now

[next hatch]

do you understand the basic exponential laws

in your case it'd be the top one

okay so

x * x is the same as x^1 * x^1

[vale wigeon]

this was just a semi related example

[next hatch]

let me finish please

x^1 * x^1 is the same as x^(1+1)

which is x^2

and your question is how the greatest common divisor is of 2x^2 and 9x^3 = x^2

so

divide both sides by x

what do you get

[vale wigeon]

no, x^2 / x = x

[next hatch]

yes

because x^2/x^1 is the same as x^(2-1)

[next hatch]

as shown by this

yes

but you're not dividing by x^3

you're dividing by x^2

yes

the question is asking how the gcd of 2x^2 and 9x^3 = x^2

divide both by x^2, you'll get 2 and 9x

you cant divide 2 by any more x's

so therefore x^2 is the gcd

not quite

you do them separately

in this case you can because 2 and 9 only have 1 as a common divisor

but if it was 3 and 9, you could do 3x^2

and you'd be left with 1 and 3x

yes

that's exactly it

you're welcome

xx

[deft frigate]

I need a little bit of help on the following question
(1+1/2)*2

[alpine sable]

2

[deft frigate]

Pls explain

[wary stream]

Don't give out answers

[wary stream]

Apply order of operations, PEMDAS

[deft frigate]

I thought it was 3

I just asked the question for fun, wanted to see who was alert

[wary stream]

And it's not 3

[alpine sable]

@wary stream

[deft frigate]

Then explain

[wary stream]

Why did you just ping me?

[alpine sable]

brackets first

[alpine sable]

need help

with this

[deft frigate]

Ok so let's do brackets first then

[alpine sable]

rq

[deft frigate]

1+1/2 = 1.5

1.5*2=3

[vale wigeon]

$\paren{1 + \frac12} \cdot 2 = 3$, no?

[ocean seal]

Ann

[vale wigeon]

dldh06 why are you claiming (1 + 1/2) * 2 isn't 3

[alpine sable]

1+1=2

2/2=1

[wary stream]

I read that as to the second power, my bad

[alpine sable]

1*2=2

o

wai

t

[wary stream]

Sorry

[vale wigeon]

we don't have $\frac{1+1}{2}$, we have $1 + \frac{1}{2}$

[ocean seal]

Ann

[deft frigate]

Imagine being such a bot

[deft frigate]

Exactly

[alpine sable]

@vale wigeon

[vale wigeon]

what

[wary stream]

Don't ping people

[vale wigeon]

why are you pinging me

[lone heart]

From

#❓how-to-get-help

Rule 7

When asking for help, do not insist on getting just the answer; we are here to help you learn, not cheat. Likewise, if you are providing help to others, try your best to explain and elaborate instead of simply giving away the answer.

[vale wigeon]

wait no

wrong rule

[alpine sable]

-_-

[vale wigeon]

#❓how-to-get-help

[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]

this one

second half of it

[wary stream]

How do you call specific rules ?

[alpine sable]

i pinged

helpers

got

no

response

before

[vale wigeon]

can

you

send

more

than

one

word

per

message

please

[alpine sable]

why

its just how i type

[vale wigeon]

anyway the reason you got no response is probably because you didn't share some essential info

such as the amount of progress you've made

[wary stream]

Maybe if you read the rules, you would understand that you had to wait at least 15 minutes before pinging helpers, which I don't think you did before

[alpine sable]

wdym

[alpine sable]

i see

[wary stream]

You waited 5 minutes last time

[alpine sable]

Can someone please help me with this and get the solution? <@&286206848099549185>

[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.

[warm comet]

What's 15+27304040

[wary stream]

Just add 15 to that big value

[alpine sable]

How can ab <= |a||b| be justified?

[lusty ibex]

you could use the angle inbetween the vectors formula

[jagged imp]

I assume a and b arent vectors here

and ab is not the dot product of a and b

[lusty ibex]

ahhh then im not sure then

[alpine sable]

No, they're real numbers.

This is for an exercise in ch 1.1 of Thomas, justifying steps in the proof of the triangle inequality

[jagged imp]

if thats the case, consider the cases where a and b are both negative, both positive, and where their signs are different

[untold tapir]

may i know if theres something in between A & B, is it also considered as A is directly above of B? im trying to solve a combinatorial problem

[vale wigeon]

probably not, but can you show the exact problem statement anyway

[alpine sable]

<@&286206848099549185> someone please help

[vale wigeon]

have you made any progress so far?

[alpine sable]

Yeah, but its really confusing and I can’t get to the solution

@vale wigeon

[vale wigeon]

oof. this all sounds really hairy but at the same time i don't know what else you could've done here.

but also i have a feeling your equation for the line through (6,1) and (2,8) is wrong

you made a sign error

it should be y = (-6/5)x + 4.6

[alpine sable]

Yep thx for that. I just don’t know where to go from there

I know I have to simplify them but can’t think how to simplify the -6/5x-4.6 part

[vale wigeon]

you're overthinking it a bit

all you're integrating is linear functions anyway

[alpine sable]

Yeah ik, but this problem is making me super confused and I can’t think of how to get a solution

I’ll probably just email my professor and ask

[alpine sable]

Find a given that: P(-1, 1) and Q(a, -2) are 5 units apart

I got a = 3

but it's saying there is another answer?

can someone explain how there can be two answers, I'm new to this

[vale wigeon]

how did you get a=3?

[alpine sable]

hold on let me take a picture of my work

[vale wigeon]

ok can i comment on your handwriting a little before i get to the part where you made a mistake

cause i have some shit to say about that

[alpine sable]

yeah just get it over with

[vale wigeon]

1. in your first line, the square root symbol extends only over the first term, which is incorrect (even though you do extend it all the way in the second line, which makes this only a typo
2. your a and 9 look very similar. consider using a different shape for either one

now to the actual mistake

you got to 16 = (a+1)^2 just fine

but you should have had a+1 = **±**4, not a+1 = 4 as you wrote.

[alpine sable]

why is it ±4 and not 4

[vale wigeon]

you would agree that the equation $x^2 = 16$ has two solutions, yes?

[ocean seal]

Ann

[alpine sable]

uh isn't the root of 16 just 4?

[vale wigeon]

sqrt(16) = 4, that's true.

but think about the equation

x=-4 is also a solution of x^2 = 16.

[alpine sable]

ohh right

I see where I went wrong

thanks

[sly mantle]

@alpine sable don't troll

b&

[alpine sable]

Three boys, four pizzas. Every pizza must have an owner. (Distinct Pizzas) How many ways the pizzas can be distributed?

My answer is 72.
I did this ->

First I'll select any 3 pizzas by 4C3 then no. of ways they can be distributed among the guys 3!. Now no. of ways the remaining 1 pizza would be given way 3C2
my ans be -> 4C3 3! 3C2

Is it right?

[vale wigeon]

i don't think so

i think you're double-counting some outcomes here

[tepid jungle]

I need to prove that property

I did a similar question but E[Xi] < inf and I could use the monotone convergence theorem

But I'm assuming I can't use the same theorem because there needs to be infinite amount of functions, where in (b) there is a finite amount of functions

[alpine sable]

o,o! oof im confused

can you do this one

Q-14

https://cdn.discordapp.com/attachments/719248571299266953/881445705623928842/IMG_20210829_131807.jpg

@alpine sable still need help?

yes

B is a 3 × 2 matrix. The element in row i and column j is given by bi j = i × j.
Construct the matrix.

[vale wigeon]

@alpine sable channel busy please move

[alpine sable]

ok

[alpine sable]

Well the question is a little bit weird if I read it semantically but whatever

I guess it is asking for the number of onto functions that satisfy the previous condition? Otherwise no idea why that’s written there

Also no idea what the point of n and n-10 is

[alpine sable]

lol no point in that

im getting n = 24

but answer is given 18

:/

n = 18

you really only need to find how many ways you can map {x1, x2, x3} to {y1, y2} in an onto fashion

[vale wigeon]

not exactly, no.

i think you meant {y3, y4}, but still, even disregarding that

you would miss some functions

[alpine sable]

Oh, right

[brazen acorn]

okay so very simple question I think: why would you rewrite (x+p)(x+q) to:
x^2+(p+q)x+pq, and not
x^2+xq+xp+pq?

Especially if the assignment is to remove the braces? It's shown in my book as the solution once and I thought hmm.. don't know why they put it that way. But then on the next page they use this "solution" to it again, and they keep sticking to it. Which makes me think there is a definite reason for rewriting it in that specific way instead of the IMO more straightforward one. Because I believe I cán definitely say that I'm probably not wrong in anyway, as far as I can tell. It's just different. Does that alternative rewrite offer benefits further down the line?

[vale wigeon]

when considering this as a quadratic in x, the form x^2 + (p+q)x + pq highlights the fact that the linear coefficient is p+q

which is useful to know for factorization purposes

[brazen acorn]

okay, that's very good to know. thanks

[tepid jungle]

hi @vale wigeon have you done anything on the topic of my question?

[vale wigeon]

.-.

sure do love getting pinged out of the blue

no, i don't remember the proof of that particular result in probability theory unfortunately

[alpine sable]

Ok revision: find how many ways you can map size 2 subsets of {x3, x4, x5} to {y3, y4}

Then the unused element in A is free to be mapped to any element in B

[vale wigeon]

this may overcount things

it's probably easiest to just write these out explicitly...

alright i've written them all out explicitly in lexicographic order

for each function i wrote out its values at x_1 through x_5, omitting the y for brevity. e.g. a 3 in the table means y_3

[royal drift]

Hi, can someone help me with this pls

[normal star]

do you have exam helper

i have an exam in 2 hours and i am not prepared

😢

[vale wigeon]

then you're screwed lol

[acoustic crescent]

pls help someone

[vale wigeon]

this question is very poorly stated

just from knowing the volume alone you cannot conclude what the dimensions should be

[ashen axle]

anyone?

[small bear]

Channel occupied. Go to another

[vale wigeon]

can we please not gang up in one channel

[urban lily]

hey guys, so can someone remind me if the (y=mx-c) functions are direct or not because itsnot increasing by the same ratio?

[small bear]

I want to quickly address a previous problem, as it has not been answered

when you expand, and collect like terms, you will get a quadratic

after that it is simple where the minimum of a quadratic occurs

[royal drift]

Can u show me how to expand it pls? Sorry, i'm a bit new to these type of math

[small bear]

Each term is of form $(a+b)^2$, expanding it yields $a^2 +2ab+b^2$. Do that for all such terms

[ocean seal]

peaceGiant

[royal drift]

Ah, i think im starting to understand now, thank a lot for your help!

[small bear]

Np

[little wadi]

how does i go around simplifying this $$\frac{\left(2^{2n+3}-\left(2^n\right)^2\right)}{2^n}$$

[ocean seal]

̗̀➛☄. *. ⋆ 彡‗ ❍¡! ❞ˏˋ°•*⁀➷୨⎯୧

[rigid smelt]

notice that 2^(2n) is a common factor of the numerator

[little wadi]

mhm

o

[worthy verge]

Can someone help me with C1?

I have the answers but answer sheet doesnt tell me how to get the answer

C1b=438.17 K

[dire nacelle]

Pls answer

[vague coral]

then dx = o'(t) dt and you sub dx in the integral, x too

[stark lion]

Is the answer for 7 0.6 and 10.44

[barren helm]

umm which 1 is true?

[hearty quail]

may someone please explain to me how i would solve this equation?

,w \left(\sin \left(\frac{\left(y-10\right)}{1}\right)+0.5-0\right)^2+\left(y-10\right)^2=12.5^2

[ocean seal]

Results provided by WolframAlpha

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

Requested by Cures#8747

[vale wigeon]

you probably wouldn't. this looks too nasty to solve.

[hearty quail]

i mean all i really dont understand is how to get y out of sin(10-y)^2

,w sin(10-y)^2

[ocean seal]

Results provided by WolframAlpha

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

Requested by Cures#8747

[hearty quail]

wat

yea dw about it ann its all good. i think this is above my pay grade

[alpine sable]

I'm struggling with conditional statements. How can I convert an implication using logical operators? I know that P -> Q is equivalent to ~P v Q, so would P v Q ->R be equivalent to P v ~Q v R ?

[shell widget]

P v Q -> R <==> ~(P v Q) v R <==> ~P AND ~Q v R

[tawny lion]

stuck with A

because of the starting point being 0

[tawny lion]

<@&286206848099549185>

[shell widget]

@tawny lion I think just calculate it normally, forget the zero balance

[tawny lion]

really?

[shell widget]

yeah

[tawny lion]

so u_1 = 100(1+0.04/12)^240?

or u_1 = 100

I don't understand why it might be 100

[shell widget]

,w 100(1 + (0.04/12))^(240)

[ocean seal]

Results provided by WolframAlpha

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

Requested by Sup?#7960

[shell widget]

thats it

[tawny lion]

it's invested every month though

an additional 100

[vale wigeon]

yeah sup this is an annuity

[shell widget]

Every month there is an interest of 4 percent, that's it.

Oh

[vale wigeon]

no that's not it

[tawny lion]

[vale wigeon]

we gain 4% interest and then we add another 100 euro

[tawny lion]

[shell widget]

100 euros added every month?

[vale wigeon]

yes

[shell widget]

Ah

[tawny lion]

so then what do we do

[vale wigeon]

there's a number of different ways to phrase it

i'll denote the amount added every month with the letter A for convenience

so A = 100 euro in our case

and i'll also denote with the letter r the interest rate per compounding period, in our case it's 0.04/12

so we start with 0

each month we multiply the amount already there by (1+r) and add A

so we have A
then A(1+r) + A
then A(1+r)^2 + A(1+r) + A
then A(1+r)^3 + A(1+r)^2 + A(1+r) + A

do you see where this is going yet?

or should i continue explaining

[tawny lion]

yup

I see

[vale wigeon]

it's gonna be a geometric series of 240 terms with ratio (1+r)

[tawny lion]

why 1+r?

uh

we're also adding A

[vale wigeon]

you just said "i see"

i thought that meant you understood where the things i wrote came from

at the end of the 20 years you will have A(1+r)^239 + A(1+r)^238 + ... + A(1+r) + A

[tawny lion]

but isn't R u_2/u_1

ah wait I think I understand, but how do we account for the additional A

[vale wigeon]

???

[tawny lion]

b ecause if we use the formula for the sum of a geometric sequence we don't account for the +A that is added

[vale wigeon]

i think you misunderstand

if you want to do this as a recurrence, then it's $$u_{n+1} = (1+r)u_n + A$$ and $u_0 = 0$ and you're looking for $u_{240}$

[ocean seal]

Ann

[tawny lion]

alright, thank you

[bleak charm]

hii, is this chat open for a new question now? or is it still ongoing? if not then can anyone help me with my mini ia?

those are the data i've collected and im trying to figure out the equations for each ditch digger

its like two ditch diggers trying to meet up in the center.. if that makes sense

oh.

so uh can u help or u just had a problem with the language??

[hearty quail]

xd

https://tenor.com/view/sigma-male-noah-sigma-male-noah-dance-gif-21789409

i aspire to become you

[bleak charm]

racist??

[hearty quail]

you said ||digger||

[vale wigeon]

digger? as in, the word meaning "one who digs"?

[bleak charm]

its a math problem, what was i supposed to say😭

[hearty quail]

wtf is this guy haha

[vale wigeon]

is there anything racist about this besides the similarity to the N-word, to which it bears no relation?

[hearty quail]

look i was just going along with it

[bleak charm]

yess

[hearty quail]

not at ur level yet 😦

aight lets head to #chill

teach me to be truly sigma

uh

no

[vale wigeon]

elagabalus

this isn't the place to talk about that sort of stuff

[hearty quail]

...

[vale wigeon]

...

'brother'?

i'd ask you to not call me either of those terms

[hearty quail]

me when

[vale wigeon]

but i don't think you'd listen

do not call me bro.

i don't like being called bro.

[hearty quail]

girl?

[vale wigeon]

you can just call me by my name lol

also what's with the shushing

yes, so what?

[bleak charm]

ok will um when u guys are done, can anyone help with my math problem..?

[vale wigeon]

foul???

[hearty quail]

wtf

[vale wigeon]

oh so you'll be transphobic to my face

okay then

<@&268886789983436800> we got a transphobe over here

everything lol

if youre gonna be transphobic at least don't do it so overtly

let alone to a trans person's face

[bleak charm]

but u shouldnt be disrespectful, theres a difference between not supporting and just being straight up rude

[stark lion]

Can someone plsss explain part two of q 7

[vale wigeon]

never thought i'd see a transphobic nut with my own two eyes

oh looks like he's gone already thank god

[bleak charm]

waittt i had a question first but uhhh thers currently an ongoing argument..

[tame falcon]

Banned

[vale wigeon]

thank you manan

[stark lion]

Ah I’m sorry

[bleak charm]

its okk

[hearty quail]

I need help with a question, You play a lottery where 6 numbers are chosen from 45 at random. you get 3 numbers the same on your ticket. find what the chances where using combanatorics?

[bleak charm]

...

[hearty quail]

appreciate it

[vale wigeon]

okay cures and heera one of you will have to move

or maybe both. preferably both

[hearty quail]

do whor3!s question first

[bleak charm]

thank you😭

[stark lion]

Move where

[hearty quail]

aight ima go to q1

[vale wigeon]

to another questions channel

one that doesn't have a conversation in it at the moment

[stark lion]

Okay okay

I’ll go

[vale wigeon]

@bleak charm can you repost your question again

[bleak charm]

um so this is the data i have and basically im supposed to find out if they will ever meet, the digging rates of each person, and how long is this ditch..

but i already figured out that they wont meet

and that the ditches they are digging are parallel so they will apparently have to connect it with a perpendicular line, and right now im just trying to figure out the equations for each person

[vale wigeon]

jesus fuck

this channel is cursed

[bleak charm]

sorry.. its a lot

[vale wigeon]

it's not you whor3!

it's the interruption

[bleak charm]

ohhh

yea

[vale wigeon]

anyway

it looks like you figured out the slope of each ditch as 1/2

what else are you asked for

[bleak charm]

yepp

the digging rates, which i thought was the slope, but my teacher said it wasnt..

so im a bit confused abt that

[vale wigeon]

i think the digging rate is supposed to be the distance dug out per day

[bleak charm]

ohhh

[vale wigeon]

which would be the distance between two adjacent points in your data

[bleak charm]

so i have to use the distance formula right?

[vale wigeon]

...yes

[bleak charm]

also..

how would i find the equations of each digger?

i know i need the slope but thats all i have

[vale wigeon]

they are both digging in a straight line

so their equations can both be written in the form y = mx + b

you know m = 1/2 for both diggers

obviously their b's will be different

but still

[bleak charm]

right

so for the second guy, how would i figure out b?

[vale wigeon]

...same as for the first lol

you would use one of the points he went through

[bleak charm]

sorry what?? im confused on that part😭

[carmine lion]

this channel occupied @fluid scarab

[fluid scarab]

aight which channel can i use then?

[glass lichen]

use common sense and find one that isnt in use

[carmine lion]

literally any other unoccupied channel

[bleak charm]

the amt of ppl that keep going to this channel

[carmine lion]

ikr

[alpine sable]

How do I do this, kinda confused, tried L'hopital

[bleak charm]

^^sorry i'll make it more clearer that i still kinda need help

[split oriole]

Try y=mx and x axis( i am saying because from both the paths i am getting different answer so seems limit don't exist)

[alpine sable]

tyvm

[split oriole]

Can please tell me what does it means, because every time i came accorrs a new word, then i have to google it 😂😂

[bleak charm]

thank you very much^

[split oriole]

Ohhh 🙏

[bleak charm]

yepp

[bleak charm]

plz ping me whenever u guys are ready :)))

[alpine sable]

$\overline{v}={\frac{\Delta x}{\Delta t}}

[alpine sable]

you can use urbandictionary if u don't understand some slang

can someone help with this question]

[normal star]

need help

[gray isle]

what have you tried / thought about

[alpine sable]

<@&286206848099549185>

[split oriole]

Too small letters

[gray isle]

what have you tried / thought about

[alpine sable]

I dont really know how to answer these type of questions

[gray isle]

do you know the properties of a parallelogram

[alpine sable]

yes

[gray isle]

did you determine the sizes of the angles

[alpine sable]

thats the difficult part

[gray isle]

don't overthink it

its just basic substitution

[alpine sable]

i get confused with substitution

[gray isle]

what specifically about it

[alpine sable]

like 6u-4 and 5u+4

[gray isle]

the expression for the angle in the top left is
6u - 4
what happens when u is 8

[alpine sable]

i wouldnt know how to substitute

[gray isle]

really don't overthink this

do you understand that 6u represents the product of 6 and u?

[alpine sable]

what i know is that you have to substract 6u from 5u and substract the +4 part and the -4 part

[gray isle]

and when doing substitution you're pretty much replacing something with something of equivalent value

what i know is that you have to substract 6u from 5u and substract the +4 part and the -4 part
no

[alpine sable]

+4 part and the -4 part

oh

[gray isle]

really don't overthink this

6u - 4
what happens when you substitute/replace u with 8, (inserting appropriate signs or parentheses if needed)

[alpine sable]

ok

but where did you get 8 from

[gray isle]

from the question

did you read the question

[alpine sable]

how

yes

wait

i missed that part

one second

ok

thanks

for your help

[scenic wind]

Is this correct

?

[split oriole]

Looks beautiful and correct ( better then mine drawing 😂)

[scenic wind]

ty so it doesn't matter how it looks as long as it matches the criteria right?

[split oriole]

From my side it is good

[scenic wind]

Ah okay ty :)

[trail elm]

Can someone check if i got the right answer for 2b

book says 34 but i got 35

[glass lichen]

Likely just rounding, but I'd argue 35 is correct cause after 35 days it'd be under 1/2 the value

[trail elm]

Ahh ok

[glass lichen]

,w calc ln(.5)/ln(.98)

[ocean seal]

Results provided by WolframAlpha

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

Requested by moshill1#9771

[vernal dragon]

what is the meaning of three lines

why not use only two?

[glass lichen]

identical

ie the LHS and RHS are exactly identical, with no distinction aside from notation

[vernal dragon]

ok thanks for your help mosh

[wary stream]

Also means equivalent to

[fleet glacier]

I'm not exactly sure of the notation v^., but I know that it's not equal

that sign means congruent

so x ≡ 5 mod 6, means x can be 5, 11, 17......

is v^. a unit vector?

I've never seen that before

[glass lichen]

it's $\dot{v}$

[ocean seal]

Mosh

[fleet glacier]

what does that mean though

[glass lichen]

1st time derivative

[fleet glacier]

oh

[glass lichen]

Like I said.. the LHS and RHS are identical

[fleet glacier]

so then in this case, it's equivalent

[glass lichen]

yes, almost like I said that

[fleet glacier]

but in general, ≡ does not mean equal

[glass lichen]

it does

it means identitcal/congruent

[fleet glacier]

I also said I didn't know what the v meant.

[fleet glacier]

My bad, I meant equal

[alpine sable]

Is this right?

[split oriole]

Is it sin?

[alpine sable]

yes

[split oriole]

0/0 will never give you answer

Try to approch zero from different curves

Take x^2+y^2=r

Then approch r to zero , you will get 1

[alpine sable]

because sin(r)/r = 1?

[split oriole]

Yup

Sinx/x as x approces zero

[split oriole]

Looks good

[alpine sable]

ty

[loud sentinel]

Hey guys i wanna ask why the question has the following answer

^because wouldnt that answer be the domain?

And if im wrong what method of calculation should be used to obtain the answer?

[fleet glacier]

ok so

you want the minimum value of x^2+4x

do you know calculus

[loud sentinel]

yeah

[fleet glacier]

ok

nice

this is an upwards pointing parabola

that means the function will have a slope at 0 at it's vertex/minimum value

right?

[loud sentinel]

yeah true

[fleet glacier]

so if you take the derivative and find where it's equal to 0, you will get the vertex which is also the minimum value

right?

[loud sentinel]

yeah

[fleet glacier]

ok so taking the derivative gives 2x+4 = 0

which means x=-2

the y value of the function at x=-2 is 4-8 = -4. So, the minimum y value is -4

since -4 is the minimum value, f(x)>=-4

[fleet glacier]

the domain is all possible x's. In this case, x is an element of the real numbers as per the right column. That means all real numbers work.

[loud sentinel]

oh okay understood

Thank you

[glass lichen]

alternatively.. f(x)=x^2+4x+4-4 =(x+2)^2-4

[warped phoenix]

is f(x) = 3 just a translation 3 units up..?

[split oriole]

If you are adding in function then yes

Like g(x)+3 will shift g(x) upward by 3

[warped phoenix]

so this would work

[twin spruce]

Damn

Y’all got homework still

[warped phoenix]

school just started so yeah..?

[twin spruce]

Oh

Yeah true

[warped phoenix]

lol

[twin spruce]

It’s ass Alittle tho

But the math part nope

[alpine sable]

@split oriole just asking again, I did x=0 for this one and I got that +infinite and -infinite, is that why it doesn't exist?

hi guys

[split oriole]

When you put x =0 it will give you 0

[alpine sable]

i want to find a number that should multiply by -7 and get output 66

can anyone pls help me out?

[warped phoenix]

just do 66 / -7

[alpine sable]

how? I got ycosy/y^2

then cosy/y

then 0/0+ and 0/0- that +infinite and -infinite

what I did wrong?

[split oriole]

When x is zero whole numerator will become zero

[alpine sable]

oh god

I'm dumb

you're right

what's the other option to me get that it doesn't exist?

[tepid jungle]

is this true?

I am not sure how to answer this type of questiobn

[alpine sable]

ok , thanks

[split oriole]

Take y=x

[gentle turtle]

Please help me to evaluate this expression

[glass lichen]

what have you tried?

[alpine sable]

so all the options I can test is x=0, y=0, x=y, y=x?

[loud sentinel]

Hey guys im kinda confused how to solve this

[glass lichen]

27 is correct, but 28 isnt

cause I have no clue where (1n+0)/(1n) came from

[split oriole]

Just two are sufficient

[glass lichen]

also just fucked up algebra

[gentle turtle]

So what the answer for 28?

[glass lichen]

(2n+1)!=(2n+1)(2n)!

Like you did 27 perfectly fine, then proceeded to do the same thing poorly for 28

[split oriole]

What is inside integral?

[tidal grail]

Its arc length and i thought i knew i what i was doing

[glass lichen]

That doesnt answer what was asked

They asked for the integrand

[tidal grail]

I need help to understand

[tidal grail]

@vale wigeon

[bleak charm]

sadge,, but nvm i dont need help anymore

[vale wigeon]

augh

those multi-hour delays

[tidal grail]

pls help

[loud sentinel]

I’m pretty sure u have to intergrate like this first

[tidal grail]

I though you got to find the derivative first

[loud sentinel]

Do you have like the question with you

Idk what the question is

[glass lichen]

you never posted a question, you posted random work and expected us to know what you want

[loud sentinel]

yeah, the answer i gave was just based on my assumption what the question is

[storm swan]

hi i need help on this question, i plugged it into the equation, so im not sure what i did wrong

[wary stream]

Probably did not plug it in correctly

[jagged plover]

hello! about this question, I chose Pr(X leq 2) = 0.4 as there is a flat line until 2 on the x-axis when the probability is equal to 0.4. However, the answer is apparently wrong. How should I approach this problem then?

you have to multiply the constant with the coefficient of the first term

you have to do -10 x 2 = -20 and then split -20 into factors that allow for factorization

[storm swan]

hm i double checked a couple of times and got the same answer though

[wary stream]

How did you plug it in

[jagged plover]

@idle trench

[stuck jolt]

This is correct, I will write it in latex to make it clearer for them if you don't mind

[jagged plover]

please, feel free

[stuck jolt]

Consider using the quadratic formula:

$x=\frac{-1\pm \sqrt{1^2-4\cdot :2\left(-10\right)}}{2\cdot :2}$

[ocean seal]

Captain_Mat01

[pale cloud]

is this chatroom free?

[stuck jolt]

yes

[pale cloud]

i need help on this question because i don't know what they did

[stuck jolt]

They just solved for x

And plugged it in to y

x>5/2

[jagged plover]

^

[pale cloud]

wait what? that simple? wait let me see again

[stuck jolt]

yh its that simple, the way they explain it on the website is not great

I mean, its good

Just using to many definitions, which can lead to confusion

[jagged plover]

because one of the equations doesn't have y at all, it's just a matter of solving for x and subbing it into the equation with y

[pale cloud]

ah okay ty for the help

i cant believe it was that easy lol im so dum

[jagged plover]

<@&286206848099549185>

[jagged plover]

no worries bud, now you know :)

[stuck jolt]

Oh I did not see that

[jagged plover]

no worries!

[stuck jolt]

Ah, forgot how to solve this

Lemme see if I can find a book of some sort

[jagged plover]

oh no it's alright!

[gentle turtle]

Thanks

[tight locust]

lmao

[alpine sable]

how would I solve for x in this problem?

[carmine reef]

so two of the angles in this diagram have a special property

[alpine sable]

is it vertical angles

[carmine reef]

<DCE and <BCA

yeah

vertical angles are equivalent

[alpine sable]

oh

[carmine reef]

or congruent or whatever they call it

[alpine sable]

now I think i can solve it

[carmine reef]

ok good

[alpine sable]

thanks I got the answer

[carmine reef]

no problem

[dusty oxide]

−3x=12

x=4 this is wrong right? its -4

[carmine reef]

yeah

x there is -4

[dusty oxide]

Dumb website telling me 4

lmao

[carmine reef]

lol

[dusty oxide]

https://gyazo.com/26bfdf412ecfe439a22d2ccd1cf3c592

[carmine reef]

lmao

[dusty oxide]

This is rly easy math but still

how can they get that wrong

Its the website we got from our school 😄

[desert moon]

when you have sin(ax)sin(bx),
it should not = 0 when you integrate over a period if a = b
but when you use the double angle formula to separate it,
you you can get a sin((a+b)/L) - sin((a-b)/L) which = 0?
I know you can use another identity to show that it equals 2L,
but idk why I'm getting this answer using the double angle formula

[carmine reef]

what's this double angle formula that you're using?

this seems like the formula you would use when a=b

[desert moon]

yeah, that one gives me 2L
but lets say you ignore the fact that n=m for a second
and then apply the same trig I that you would if n=/=m
in the end I got 0, even when I subbed n=m at the end

I mean, you get the result in the same form as n=/=m
but when m=n, you get sin(2n) - sin(0)

@carmine reef

[carmine reef]

I'm not aware of such a trig formula

[desert moon]

the angle formula is sin(n)sin(m) = 0.5(cos(n-m) - cos(n+m))

then integrate that

[carmine reef]

hmm

i see

[desert moon]

that's how you show orthogonality when n=/=m

[carmine reef]

I think the formula is right

when a = b, what's sin((a-b)/L)?

[desert moon]

sin0

sin (a-a)

[carmine reef]

is it supposed to be cosine instead?

the formula you gave is cos - cos

[desert moon]

yeah

[carmine reef]

but the one up higher is sin - sin

oh, did you integrate that one already

but then the denominators shouldn't both be L

[desert moon]

yeah, sin(a)sin(b) = 0.5(cos(n-m) - cos(n+m))
but you integrate it over L < x < -L, to show orthogonality if = 0

so then you get sines again

[carmine reef]

but before you integrate

well, if you try to integrate cos(n-m), what happens

[desert moon]

you get Asin(n-m)

[carmine reef]

what's A?

[desert moon]

1/n-m

[carmine reef]

what's n-m?

when m = n

I should have said integraate cos((n-m)x) probably

[desert moon]

oh..

1/n-m = 1/0 when n = m

ahh

kek

[carmine reef]

lol

exactly

so you have to go back to the cos((m-n)x) step

[desert moon]

yeah, its 1, so you get 2L

thanks 🙂

[carmine reef]

no problem!

[warped phoenix]

how is this wrong?

1/2(-3) = -1/2 ?

[vague coral]

-3/2 @warped phoenix

[warped phoenix]

ur right 🤦‍♂️

wait so

oh

nvm

ty

hey whoever was just in here the channel is free now

@sinful moth

[sinful moth]

oh i didnt want to hold you up so i deleted it and went to a different channel

[warped phoenix]

oh ok nw

[alpine sable]

Hi! Please someone help with this.

Here is the expression

I wanna know this

By using this definition:

I know there are easier ways to do this, but the exercise asks specifically to use this definition

[ancient saddle]

Hello, what have you tried so far?

[ancient saddle]

I mean, what did you get after using this derivative definition?

[gray vapor]

So I am very confused about something and google is messing up because of a minus sign in the search bar.

Can someone explain to me how -ln(cosx) = ln(secx)

[dawn galleon]

TATTTTAATATATA

[desert moon]

-ln(x) = ln(x^-1) = ln(1/x)

1/cosx = secx

[gray vapor]

wait so lnx multiplied by something puts that multiplier as the exponent for what's in the logorithm?

Like, if I were to just randomly have 2ln(cosx), that would = ln(cos^2(x))

[desert moon]

yes

[gray vapor]

You have just made my trig integration homework much easier

[alpine sable]

Oh god, you have no ideia how far I tried, but I did again (So I could sent it to you, since I striked out (not sure those are the correct words, my English is bad) my other attempts.) But I finally solve it!!!! Here’s the resolution. @ancient saddle

The other attempts I talked about:

Anyways, thanks!!!

[clear apex]

holy

do it on a new clean page

and you will feel like uve accomplished something

[alpine sable]

Ahahah this is only training work for my final exam, I am lucky enough to organize my mind in my own mess.

is this channel free???

if anyone is willing to help, i would appreciate it a ton:)

[candid thistle]

#help-1 ?

[alpine sable]

my answers got sent in the wrong order

i particularly need help with Q3

please ping me if anyone responds:)

[alpine sable]

<@&286206848099549185>

[fringe spindle]

please could you send the question you have to solve?

[fringe spindle]

ty

[alpine sable]

i messed up (a), but for (b i) AD: 3y=x-5 BE: 5y=-3x-12

[fringe spindle]

ok tysm

[alpine sable]

i have no clue how to do (ii)

and it’s np:)

[fringe spindle]

i'll attempt it now

[sick frigate]

hello

[alpine sable]

thank you

[sick frigate]

gg./math : O

this is awesome

pls help me do math

*/ dies

[unborn dome]

can someone help me out with this

apparently its not DNE or does not exist

nvm its just 0

[alpine sable]

how would i go about solving this?

[ancient saddle]

Hello, have you tried graphing the function?

[alpine sable]

im confused on what to actually graph

and how would i enter it in to the calculator

wait i got it

[night sinew]

does it matter which point you start with first with x1 , x2 and y1, y2?

[wary stream]

As long as x1 goes with y1 and x2 is paired with y2, order doesn't matter

[night sinew]

i don't know what i'm doing wrong here but when i do (2-2) / (3-(-5)) i get 0/8, but if i do (2-2) / (-5-3) i get 0/-8

it's something to do with the negative signs

thats throwing me off

[wary stream]

It doesn't matter because the numerator is 0

So the slope is 0

[night sinew]

oh, so either -8 or 8 is right?

[wary stream]

If you had different y values, then you would have the same slope

[wary stream]

No

[glass lichen]

0/8=0/-8

=0

[night sinew]

ah

ok ok i see

it's just 0

[wary stream]

Yes

[night sinew]

thanks

[inner sky]

question about synthetic division

[wary stream]

What have you attempted?

[inner sky]

I know how to do with x degree of 1 but

I donno how to do it with x^3

or x^2

[glass lichen]

You cant synthetic divide if it isnt a linear divisor

you have to do long division

[inner sky]

kk I'll do that then thnx

[tropic sail]

What do factors have to do with factorial?

[glass lichen]

$n!=n(n-1)(n-2)...(2)(1)$

[ocean seal]

Mosh

[glass lichen]

Kinda... the definition of factorial for natural numbers n as well as n=0

[tropic sail]

Kinda what?

[glass lichen]

what factorial and factors have to do with one another

[inner sky]

another question

right track or am I off?

[glass lichen]

that's correct, though you can just pick a value of a

[inner sky]

the question does not specify any details like y intercepts for me to quantify a though

[glass lichen]

It says "an equation"

not the family

[inner sky]

elaborate? you lost me there

[glass lichen]

If you read the question, you will notice the 2nd and 3rd word is "an equation"

an means specific/singular

[inner sky]

oh ok

right but

my question still stands; a is undefinable

[glass lichen]

it is

it's a non zero number...

[inner sky]

so can I just write my answer, but then on the side a !=0 and is a member of a real number?

[glass lichen]

No

Just pick an a

then you have an equation

instead of the entire family

[inner sky]

ok

so I'll just choose value a

[glass lichen]

yes

[inner sky]

and what I choose is inconsequential because even if there are ton of possibilities

they all meet the requirements set in the question

[glass lichen]

yes.

[inner sky]

even if they all will be different equation got it

thanks so much

[tight locust]

polynomials and place value are the same thing

think about it

take any integer in base 10

for instance 1234

that's just 1*10^3 + 2*10^2 + 3*10^1 + 4*10^0

it's just a polynomial in 10

or rather the polynomial 4321 evaulated at x = 10

[mystic sinew]

I don't understand how I can do this question

an isn't a linear function bn is, I can't think of any changes to the rate of change or intercepts that could make a linear function a non linear function

[tight locust]

this is very simple

can you find the explicit formula for a_n?

[mystic sinew]

.
there's another way I did where you make n = 0, and then sub everything in assuming (an = bn) , you get A+B = 1
3A +B = 4, 9A + B =13
this system of linear equations is contradictory

[mystic sinew]

nah

atleast I can't

[tight locust]

it's very simple

just think about it

[mystic sinew]

but I don't it would be in the form ax + b

[tight locust]

just try it

[mystic sinew]

how?

[tight locust]

it becomes very clear once you do

[mystic sinew]

how do you express it explicitly/

oh wait nevermind

[thorn sundial]

is this correct?

[mystic sinew]

wait

actually no

[mystic sinew]

I don't get it

[woeful pulsar]

try putting i at the end?

[thorn sundial]

nope

i got it

[woeful pulsar]

are you sure it's contradictory

[tight locust]

a_0 = 1
a_1 = 3(a_1) + 1 = 4
a_2 = 3(3a_1 + 1) + 1 = 13
a_3 = 3(9a_1 + 4) + 1 = 40
a_4 = 3(27a_1 + 13) + 1 = 121
a_n = sum(3^k from k = 0 to k = n-1)

[analog nymph]

eh is the channel open

[harsh cargo]

somebody help plssssss

<@&286206848099549185>

[thorn sundial]

i need help

[atomic blaze]

how would i write " two decreased by the quotient of the number a and 7 and increased by a multiplied by 3" as an algebraic expression

[lean nacelle]

Hi. i was wondering how to find line through a point (x,y,z) that intersects a plane (ex. 2x+y-z=5) perpenidcularly

[magic tusk]

Are you talking about / familiar with parametric equations? If so, this the video for you https://www.youtube.com/watch?v=_W3aVWsMp14

[placid zinc]

@lean nacelle
Get any two vectors on the plane.

Take their cross product. This will give a new vector normal to the plane.

Place it at the point.

[cosmic coral]

https://tenor.com/view/triggered-cat-angry-gif-14828546

someone plz help me

its my summer packet for calculus this year. im so lost and the class hasnt even started yet

[magic tusk]

just post your question

[cosmic coral]

uh ok i dont even know where to start but

i took pre-calc over the summer this year so I feel like my knowledge is a bit shallow

is it E??

[austere bridge]

what do you get when you plug in 1 to the function?

[cosmic coral]

4 ?

[austere bridge]

right, but if you plug it in to the expression

you'll get a different, equivalent answer

[cosmic coral]

plug it into x or y

[austere bridge]

for x

there is no y

[cosmic coral]

f(x) i mean

like have x^3 ---- etc be equal to 4

[austere bridge]

sort of, yeah

but you also know that x=1

so it simplifies a lot

[cosmic coral]

oh shit i know what you mean

so 6=A+B?

then do the same thing w. -1 and solve a system?

[austere bridge]

exactly

[cosmic coral]

ok swag hold on

so 8?

[austere bridge]

yep!

[cosmic coral]

OK THANK YOU!

[magic tusk]

Does this look right?

[placid zinc]

Yes

@magic tusk

[magic tusk]

Thank you.