help-0

[green robin]

Yeah, so then you need to add -1 of row one to row 3

to clear out that one

yes and you also have to remember the 4th entry of the row too

[glass lichen]

go through with gauss jordan like normal

[green robin]

then you just do the same with the second column until you get what you need

etc...

[wise jewel]

but wait

if i do -1E1 + E3, then that makes the third row: 0, -2, 0, 5

[green robin]

alright

that's good

[wise jewel]

but then there's no way to make the -2 or second 0 a 1?

[green robin]

well we're only focusing on the first column right

[wise jewel]

oh

[red ledge]

Why a square root times a square root equals cancels the square root?

[green robin]

when we get to the second we can fix it

[wise jewel]

ohhhhh ok

[green robin]

because the square root can be written as a fraction

[red ledge]

How

[green robin]

sqrt(2) = 2^(1/2)

And when you have x^a multilied by x^b

you get x^(a + b)

so if it's 2^(1/2) times 2^(1/2) multiplied by eachother you get 2^(1/2 + 1/2) = 2.

[red ledge]

Yeah

[green robin]

So the cancellation is simply the exponent becoming a one

[red ledge]

Thank you

[green robin]

ye

[red ledge]

I don't get it but thanks

[green robin]

which part?

[red ledge]

Wow

[green robin]

he probably doesn't understand why exponents add like that

[steep briar]

It's the property of powers.

[red ledge]

Thank you

But because they're the same number, they yield the same result

[glass lichen]

squaring and square rooting are inverses is the loose idea

[steep briar]

ye

[red ledge]

Yeah

[green robin]

They're inverses because of that^

[glass lichen]

$\sqrt{x^2}=\abs{x}$ is why it's loose

[ocean seal]

Mosh

[red ledge]

But can I ask you a question?

[green robin]

You should take the time to understand why those properties hold

[wise jewel]

ok, so the first column is good now, but if we go to the second column and do something like E1 - E1 then yeah the middle number of the first row becomes a 0 like we want but then the first number of the row changes from a 1 to a 0 as well :/

[red ledge]

How do I become like you?

Am I ever gonna be like you?

Like I'm just a high school student I dunno how you know this

[glass lichen]

the channel is in use by Black, can you ask in a different channel?

[red ledge]

The way you know it, it's like easy

But to me it's very hard to know those things

Did you find it on your own?

[wise jewel]

@red ledge it all comes with time i would imagine

[green robin]

It'll come with time. ]

[red ledge]

Or was it writtten in a book

That's not the case with me

There's another dimension indeed by time

But what are you doing in this time

is what I wanna know

[green robin]

abstract can you move the discussion to a diff channel?

Blackhat is asking some questions here

[red ledge]

Indeed

[green robin]

👍

Blackhat, can you write out the matrix so far in this notation [ [x, y, z], [middle row], [btm row]]

[wise jewel]

sure

i just figured out how to do that thanks to @vale wigeon 😉

'''test

[red ledge]

I think I gotta be more interested in Math and have a passion for it if I want to reach a level

[wise jewel]

wait its not working

''' test

[red ledge]

Thank you both

[remote heron]

you need them at the end too

my dude

[vale wigeon]

those are apostrophes

you want backticks

[remote heron]

``` stuff ```

[vale wigeon]

the key to the left of 1

[glass lichen]

test

[green robin]

x=3

[austere elk]

Can someone help please

[remote heron]

lol

[green robin]

a b c
d e f
g h i

[wise jewel]

1

[green robin]

like this^

[wise jewel]

ohhhhhhh

yayyyy

[glass lichen]

in use.

[wise jewel]

ok ill write it out now

[austere elk]

?

[green robin]

someone's talking here

[wise jewel]

1  1  1 | 3
0 -2 -3 | -3
0 -2  0 | 5

[green robin]

alright good

[wise jewel]

this is with the first column done

[green robin]

So now we should get the zero's in the second col

[wise jewel]

right

[green robin]

we can fix the -2 to be a 1 after that

[wise jewel]

ok

[glass lichen]

or row swap 2 and 3

[green robin]

alright so if we add -1 of row two to row 3

yeah

Mosh has a good idea

[wise jewel]

wait but how do you know to swap those rows

[green robin]

because you need the middle row to be of the form 0 1 0 in the final state

[wise jewel]

ah right

[green robin]

and it'a already quite close to that state

[wise jewel]

tbh i didnt even know you could swap rows

can you swap columns?

if need be that is

[green robin]

do you remember what the system represents

[wise jewel]

the linear equations

i think

[minor crypt]

yes you can

[glass lichen]

Yeah you can do row or column operations

[wise jewel]

ohh

1  1  1 | 3
0 -2  0 | 5
0 -2 -3 | -3

ok

[glass lichen]

however ERO's are used more

[wise jewel]

this is with it switched

we want the middle # of the first row to be a 0...but idk how id do that without changing everything else in that row to a 0 as well

[paper bay]

Help me plz

[wise jewel]

@paper bay this channel is currently in use

[paper bay]

oh
yesterday someone cutted over my question

[green robin]

Well if you add any of the other rows it's not going to change the 1

[modest kindle]

By solving the equation a = 2 - 9a, the value of a will be

[green robin]

yes therefore we can all do it and it's alright

[modest kindle]

i need help

[paper bay]

then pls help me

[green robin]

You need to ask in an empty chat room and then you may get help.

that goes for @modest kindle too

[wise jewel]

hmmm... i see what you mean, if i do E1 + E3, then E1 changes to 1, -1, 1 right?

[green robin]

Yeah so we need to add half of row two then...

to get the zero up there

[wise jewel]

so then E1 (1, -1, 1) + 1/2 (E2) (0, -2, -3) would make E1: 1, -2, -1/2 | 6.5 ?

[green robin]

My idea is that half of E2 will have -1 in the middle of the column which will get rid of the 1 above it

[wise jewel]

but -1 - 1 = -2, not 0

[green robin]

Oh in your earlier matrix you wrote 1 1 1 as the top col

in that case you can fix it by multiplying by negative 1/2

[wise jewel]

oh ok mb i added E3 to E1 after i made that matrix but i realize that doesnt do anything

@green robin ok so if we do E1 + 1/2 E2 then the new matrix should be

1  0 -1/2 | 1.5
0 -2 -3   | -3
0 -2 0    | 5

[green robin]

Ok nice

I think you're also missing the row swapping step from earlier

[wise jewel]

oh shoot

ur right

[green robin]

It's ok

just do it now

[wise jewel]

alr

[green robin]

You can swap the rows at this point instead

[wise jewel]

oh ok

1  0 -1/2 | 1.5
0 -2  0   | 5
0 -2 -3   | -3

[alpine sable]

how can i know if I'm ready for mathematics or physics exam

[green robin]

You can't

You just try and understand as much as possible

[wise jewel]

so now we want to make the -2 in E2 a 1, right?

[green robin]

and if you've done that, you've succeeded.

Yes

[alpine sable]

i did and here i am I'll retake the exam

[green robin]

You also need to get rid of the -2 in btm row

[wise jewel]

right and turn that into a 0...so then the question is what to do to make that happen...

[green robin]

yeah, see if you can do it

[alpine sable]

is this linear algebra?

[wise jewel]

I could do E3 + - E2 right?

[alpine sable]

usa one

[green robin]

yes basic row redduction

and yes @wise jewel

[wise jewel]

ohhh yayyy

ok

lemme write that out

1  0 -1/2 | 1.5
0 -2  0   | 5
0  0 -3   | -8

[whole dagger]

did i do this right?

[wise jewel]

there we go 😄

so now we have the 0's beneath the diagonal all there 🙂

now to make that -2 a 1

[green robin]

and how would one do this?

[wise jewel]

couldn't I just do E2 + 1?

[green robin]

@wise jewel we need to remember the underlying structure

[wise jewel]

well what about it?

does that mean i can only like

combine rows with other rows

and not free numbers

[green robin]

|  x1^2   x1   1   | | a |     | y1 |
|  x2^2   x2   1   | | b |  =  | y2 |
|  x3^2   x3   1   | | c |     | y3 |

[misty bobcat]

Can someone explain me this

[green robin]

x dim = x^2 * 6

We can't simply just add 1 to everything in a row

[upbeat shadow]

is it bad if colleges see that you took ap caclulus bc then college caclulus the follwoing year in high school?

[green robin]

@wise jewel

[wise jewel]

what is dim

[green robin]

sorry that was for that other guy

[wise jewel]

oh

[green robin]

I'm just

[wise jewel]

nw

[green robin]

|  x1^2   x1   1   | | a |     | y1 |
|  x2^2   x2   1   | | b |  =  | y2 |
|  x3^2   x3   1   | | c |     | y3 |

Does that make sense?

as our original set-up

[wise jewel]

yep

first row is all a, second is b, and third is c

oh nvm u wrote that out alr LOL i didnt see that mb

ok i thought i saw someone do that in a video but ig not

hm

1  0 -1/2 | 1.5
0 -2  0   | 5
0  0 -3   | -8

all numbers below and above -2 are 0...adding -2 or subtracting -2 with 0 wouldn't change it to a 1

[green robin]

Ok, I got a ltitle lost but we need to multiply the middle row by -1/2

answering too many Q at once

[wise jewel]

sorry if i confused you

also i thought you said that you cant add stuff to it?

wouldnt multiplying a row by a random number apply to that

[green robin]

It's ok All I'm trying to say is this

if you have an equation ax^2 + bx + c = k

it's fine to multiply both sides by any number

the equality still holds

[wise jewel]

ohhhh ok

so thats an exception then

but you cant subtract or add

because that wont let the equality hold?

[green robin]

You can, but it's not that simple

[wise jewel]

oh ok

[green robin]

In the matrix form

[wise jewel]

alr, then i wont

[green robin]

Ok - I can explain that in the future more if you like, but it would have to be later

[wise jewel]

so ur right, multiplying E2 by 1/2 would turn it the -2 into a 1,

oh ok

[green robin]

Yup

[wise jewel]

tyyy!!!! ill just keep working out what i can here

[green robin]

And now we have to fix the last column

[wise jewel]

oh i thought you were leaving now LOL

[green robin]

No I mean, I can explain the other more complicated part later

[wise jewel]

thank god

sounds good

[green robin]

Ok, yeah so now our matrix should look diff, see if you can paste that in'

[wise jewel]

so now the matrix is:

1  0 -1/2 | 1.5
0  1  0   | -2.5
0  0 -3   | -8

[green robin]

Ok looking good

We can see that the first row isn't perfect

but let's fix the bottom row first, make the -3 into a 1

[wise jewel]

quick question thats a bit off topic, would you consider it odd that my book throws this stuff at us right after we just learned about complex numbers and equations when I've never seen what a matrix is and never in my life heard of the term "gaussian elimination"?

or do textbooks usually do that

they dont really explain it either, its like they expect you to know how to do it which i clearly dont

i didnt miss an intro lesson to it or anything like that either lol

[green robin]

It's actually quite standard

[wise jewel]

ohhhh...was i supposed to learn this in alg 1?

[green robin]

Given a system of equations you usually use matrix algebra to solve it

I'm not sure

[wise jewel]

ok because we def didnt lol

[green robin]

It's fine though - you're learning it now

[wise jewel]

right 😄

anyway back to the questiopn

like u said, make the -3 into a 1

hmm

[green robin]

Yes

use multiplication like last time

[wise jewel]

yeah..we cant do any add/sub. since it would change other numbers

[green robin]

yeah

So mult by -1/3?

[wise jewel]

omfggggggggg ur right

im so stupid wtf LOL

[green robin]

No

You're fine

[wise jewel]

i was trying like -3 * -8 and -3 * -1/2 and dumb stuff like that expecting it to magically become 1 hahahah

[green robin]

Just remember this

Given any number x, the inverse of it is 1/x

[wise jewel]

right, got it 😄

[green robin]

👍

[covert breach]

how do i solve these types of problems?

[green robin]

You know one point on the graph

(3,0)

log_3(3) = 1

[wise jewel]

1  0 -1/2 | 1.5
0  1  0   | -2.5
0  0  1   | 8/3

[green robin]

So then if you sub in the point (3,0) into the first eqn, it holds, in all other cases it doesnt. @covert breach

Good work @wise jewel

getting close now.

[wise jewel]

finally, now we need to turn -1/2 into 1

which can be done by doing E1 * -2 right?

wait no

cause that would turn the 1 into a -2

[green robin]

Yes, multiplying in this case won't work, because that would change the first entry

[wise jewel]

[wary stream]

RREF form?

[green robin]

they're trying yes.

[wise jewel]

could i do E1 + E3, and then E1 + 1/2 E3?

[wary stream]

You don't need that first step

[green robin]

Yeah you should add 1/2 R3 to R1

[wary stream]

Just the second half

[wise jewel]

OH

1  0  0   | 17/6
0  1  0   | -2.5
0  0  1   | 8/3

would that be it???? :DDDDDD

[green robin]

Ok, let me see 3/2 + 8/3 = 9/6 + 16/6 = 25/6 ?

(1.5 = 3/2)

[wise jewel]

I did 1/2(8/3), which gave me 4/3, and then did 4/3 + 1.5, which was 17/6

[green robin]

yeah my bad I forgot to mult by 1/2

I think you're right here

[wise jewel]

YAYYYYYYYYYYY

I DID IT AFTER 982374 YEARS

[green robin]

ayy

[wise jewel]

ok im gonna try a practice one on my own

unfortunately the book only gave me one question so ill have to search one up ig 🥲

ill lyk how it goes 😄

[green robin]

aight I gtg now

[wary stream]

What's the original matrix?

[wise jewel]

ummm hold on....the book got this as the final matrix 😬

@wary stream this was the og matrix

and they ended with this

[wary stream]

,w RREF {1, 1, 1 | 3}, {4, 2, 1 | 1}, {1, - 1, 1| -5}

[ocean seal]

Results provided by WolframAlpha

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

Requested by dldh06#2659

[wary stream]

You did math wrong then

[wise jewel]

wait so then how tf did i get

1  0  0   | 17/6
0  1  0   | -2.5
0  0  1   | 8/3

🥲

oh boy

welp

[wary stream]

Post your full work?

[wise jewel]

@wary stream i worked through it all on discord with cuppajoe

you could scroll up and follow through our convo? its not that much but it would be a quite bit to copy and paste with other people talking 😅

[wary stream]

First step?

Because that's wrong

[wary stream]

http://www.math.odu.edu/~bogacki/cgi-bin/lat.cgi?cmd=sys;m1_1=1;m1_2=1;m1_3=1;m1_4=3;m2_1=4;m2_2=2;m2_3=1;m2_4=1;m3_1=1;m3_2=-1;m3_3=1;m3_4=-5;curn=3;curn=4;vdat=3;vdat=R3;whid=V;whid=1;submit21=Submit&hideops=0

Look at that

[wise jewel]

"so add -4 of row 1 to row 2 to get a zero there, then you need to add -1 of row one to row 3"

^ this gets that first matrix i posed i think

1  1  1 | 3
0 -2 -3 | -3
0 -2  0 | 5

this one

[wary stream]

-4R1 + R2 = [0 -2 -3 | -11]

For R2

[wise jewel]

oh

i never made it -11 did i

im guessing that screwed up the whole thing LOL

[wary stream]

No

Probably so

[wise jewel]

ahhhhh

LMAO

hm

ok

[wary stream]

Cascading error

Not fun

[wise jewel]

hahaha yeah 😅

what would i search to find a practice problem of this type of question?

[covert breach]

so do i substitute for each of these types of questions?

or is there a better way?

[wary stream]

RREF practice problems?

[wise jewel]

ok, ty!

[alpine sable]

Can anyone help with this question? A mathematician goes into a supermarket and buys three items.

It has been a while since she has used a calculator and she multiplies the cost (in pounds, using the decimal point for the pence) instead of adding them.

At the checkout she says, "So that's £5.88" and the checkout attendant, correctly adding the items, agrees.

[covert breach]

i guess it has to be either a or c

and then i can substitute and solve

?

@green robin

[wise jewel]

is RREF an algebra 1 or alegbra 2 skill? @wary stream

[ionic jewel]

neither

but closer to algebra 2 i guess

it's usually taught in a class called linear algebra

although you may be taught that basics in alg2

[wary stream]

https://courses.lumenlearning.com/sanjacinto-finitemath1/chapter/2-5-exercises-augmented-matrices/

[alpine sable]

Apparently one of the values are £2.50

[wary stream]

That has a few

[wise jewel]

oooo ty

[ionic jewel]

i think both Wolfram and Khan academy have good automatic problems too iirc

[wise jewel]

@ionic jewel makes sense...i have never even heard the word matrix or term guassian elimination before but my book throws equations at you expecting you to know how to do it

[ionic jewel]

ab = 5.88
a+b = 5.88

[wise jewel]

but I took algebra 1 freshman year, geometry sophomore year, and now im taking alg 2 over the summer so i can do precal in junior year

[ionic jewel]

yeah it's all in linear algebra, but knowing how to row reduce a matrix and what it means is good I suppose

[alpine sable]

a+b+c=£5.88 abc=£5.88

[ionic jewel]

i learned the basics in alg2 as well

[wise jewel]

ah alr

[ionic jewel]

oh three items oops

,w a+b+c=5.88, abc = 5.88

there you go, pick any of infinite solutions

[alpine sable]

ok thx

[covert breach]

he left 😦

[ocean seal]

Results provided by WolframAlpha

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

Requested by 兔子#6562

[ionic jewel]

oops typo

[wise jewel]

yeah he had to go he said @covert breach

[ionic jewel]

there you go, here's the solutions

[alpine sable]

ok

thx

[ionic jewel]

unless we both misunderstand, that's a poorly written question

[modest kindle]

!rank

[ionic jewel]

whatever Wolfram put isn't something you can do by hand, and there's infinite solutions so idk what they want

[modest kindle]

!levels

[alpine sable]

@ionic jewel All I know is that a=£2.50

[ionic jewel]

well you can use either of the provided solutions to solve for b and c, and see if you get reasonable numbers

here lemme make it easier

,w 2.50+b+c = 5.88, 2.5bc=5.88

[ocean seal]

Results provided by WolframAlpha

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

Requested by 兔子#6562

[ionic jewel]

there we go

[alpine sable]

thanks!

[ionic jewel]

this one is solvable by hand though

2 variables 2 equations

[wise jewel]

do ya'll think it's possible to finish all of algebra 2 by august 1st 😬

if i spend as much time as i can on it

or is that not possible

[ionic jewel]

... yes

at my school we do 6 week summer courses

so definitely possible to learn a class in that amount of time

[wise jewel]

ok

can i show you something

[ionic jewel]

sure

[covert breach]

o well

can someone else help?

or is this place busy?

how do i go about solving this?

and this

(this is a practice test btw)

(not an actual test)

anyone?

<@&286206848099549185>

[ionic jewel]

show your work for that one

[covert breach]

the first, or second?

tbh im clueless as to how to even approach these

either of them

[ionic jewel]

well second one I'll do

[covert breach]

i guessed a cuz there is no constant factor

[ionic jewel]

so first of all that ^3 is really annoying, so how do we get rid of it?

[covert breach]

i dont wanna expand it

[ionic jewel]

no you don't i agree

so how else can you get rid of it

[covert breach]

oh i have an idea

[ionic jewel]

hint: ||do the same thing to both sides||

[covert breach]

yeah its a

[ionic jewel]

no

[covert breach]

no?

[ionic jewel]

no

finish the problem

how did you get a

[covert breach]

u factorise

and then u get

2x^4 + 5x^2 = 0

then x^2 = a

[ionic jewel]

ok

[covert breach]

u solve

[ionic jewel]

wait wait wait

where did you get an a from

[covert breach]

just substituting something random

that way i can use quadratic formula

2a^2 + 5a = 0

[ionic jewel]

oh i see

[covert breach]

solve for a

then take the square of that

[hardy crest]

Can anyone help me

[covert breach]

so what about that maria and aldo bullshit?

[ionic jewel]

once you get this there's an easier solution

pull out an x^2 from both terms on the left for me

[covert breach]

and tbh

even without doing all this

intuition would tell u that its gotta be 0

cuz there is no constant term

[ionic jewel]

0 is one of the solutions, it's not the only one

[covert breach]

ah

[covert breach]

yeah but, others are complex

so they dont matter

[ionic jewel]

no

ok so

[covert breach]

?

[ionic jewel]

wait

am i the dumb one

probably

[covert breach]

nah

its all good

wtf is this?

lol

im such a fucking dumbass.. i didnt even see that option of 85

🤦‍♂️

but srsly, what is this cube stuff?

[ornate zinc]

In a kindergarten, 12% of the students are Malays and the rest are Chinese. 50% of the Chinese and 12.5% of the Malays are boys. There are 912 more Chinese than Malay students. How many girls are there in the kindergarten?

Help

Help pls

[glass lichen]

dont crosspost

[ornate zinc]

sorry I just joined

[glass lichen]

then read the rules. . .

#rules #❓how-to-get-help

[ornate zinc]

:/

No thx-

[glass lichen]

then you wont get help

[ornate zinc]

Ok-

Cool then

[remote heron]

new as opposed to which

[scenic wind]

@glass lichen This server is being used.

[hardy crest]

please someone help me

[covert breach]

tbh any of these can be the pre image but i guess its the red one

for 2nd, its a translation of some units in X and Y (find that out)

then 3rd: its a rotation of 90* clockwise with C' as the center

and 4th idk what it means

[hardy crest]

like that ?

[hardy crest]

can you help me , idk how to

i needa finish this rn i wanna sleep

do i find the coordinates or something

<@&286206848099549185>

[remote heron]

i think you should add which point its about right

a rotation has a center

[hardy crest]

like this ?

i like your pfp btw

[remote heron]

idk if in the center is a good phrasing

id use the language "90 degree rotation about the point BLAH"

and in which direction too but you have that

[hardy crest]

so what should i add

to what i have

[remote heron]

or maybe 90 degree rotation CW centered on the point BLAH

which point is the center of the rotation?

[hardy crest]

idk man

[remote heron]

the center of a rotation doesnt move

[hardy crest]

i haven’t slept in a day

[remote heron]

think about spinning a piece of paper around

[hardy crest]

uh

[remote heron]

the point on the paper right at the center of it spinning doesnt move

[hardy crest]

360

[remote heron]

it just sorta spins

but it doesnt move to a new location

which point didnt move to a new location

thats the center of the rotation

[hardy crest]

so what do i say

[remote heron]

i cant answer it for you lol

[hardy crest]

should i just add on to what i sid

said

[remote heron]

i think so yea

[covert breach]

1 down, 5 right

[remote heron]

its all correct

[hardy crest]

oh do u get banned for it

[covert breach]

same shit

[remote heron]

idk if youre even required to specify the point

but i would

because there are tons of different 90 degree rotations

[covert breach]

u should be

[remote heron]

in any direction

[hardy crest]

ok so i don’t need to change ahything??

[covert breach]

otherwise u can rotate from any point and fuck it up

[hardy crest]

i’m so confused

[remote heron]

its not clear which one youre talking about

unless you say

this many degrees

[covert breach]

clockwise

[remote heron]

in this direction

about this point

thats a unique rotation

[covert breach]

yeah

anyways

[covert breach]

pls help with this

how does this work?

[remote heron]

its not in the center lol

[covert breach]

with C' as the center/origin

[hardy crest]

have u tried google

[covert breach]

technically is

[covert breach]

have u?

(and yes, i did)

[hardy crest]

yes but no luck

that’s y i’m here loool

[covert breach]

bullshit lol

[hardy crest]

i was hoping it was a lesson plan but noooo

[covert breach]

but ok continue

[remote heron]

u guys can just pick different channels instead of fighting

[covert breach]

ill ask somewhere else

[remote heron]

👀

[hardy crest]

we aren’t fighting ???

[remote heron]

well its confusing to me but im also about to be off work so not helping any more anyways

[hardy crest]

i added the word origin

am i done now

[covert breach]

yeah i guess

[hardy crest]

what do i say for the other questions

[carmine ermine]

do you know why there are prime symbols?

@hardy crest

Like

A -> A' -> A'' -> A''' -> etc

[alpine sable]

They don't mean primes

I've been those before

like a coupla times

and plus they probably wouldn't know what prime is

[river hearth]

is 28 right?

[wise jewel]

Can someone please check my RREF workthrough? I messed up along the way but I'm not sure where

<@&286206848099549185>

[sonic root]

hello

i did this question on a test andi got i wrong but i dont understand why

i cant cheat because im already done with the test

i just subtracted the amount from type b from the total

[noble sinew]

13 were B but not A, so we know 40-13=27 is A and B

so now from inclusion exclusion we have

[sonic root]

would it be 15 then?

[noble sinew]

yep

[sonic root]

oh

can you explain why my original logic was flawed?

[noble sinew]

doesn't factor in the people that are both A and B

42+40=82>63 so there are some people that are both

[sonic root]

So 40 is only (Only B) + Center

[noble sinew]

yes

[sonic root]

and total is (Only A) + Center + (Only B)

[celest hatch]

👀 question is very much confusive

[sonic root]

mine or the test?

[noble sinew]

si

[celest hatch]

that test one

the language of question is creating many doubts

[sonic root]

so then total - 40 = [(Only A) + Center + (Only B)] - [(Only B) + Center]

which simplifies to Only A

which needs to be solve for

and total was described to be 63

so Only A should be 63 - 40 = 23 right?

[sonic root]

ye i thought it had some contradictions

but i just chose what seemed to be simplest route

[celest hatch]

i am also getting the same answer

23

[sonic root]

but if you do it the other way

by doing (Only B + Center) - (Only B) = center

you get 27 for the center

therefore (Only A + Center) - Center = 15

two routes get different answers

[celest hatch]

hmm

[noble sinew]

why would this be true?

[sonic root]

i just substituted what i said above it

wait

i made a typo

A and B is supposed to be center*

[noble sinew]

wdym with center

[sonic root]

Intersection of A and B

[noble sinew]

so A and B?

but still not true?

[indigo storm]

Area = 100cm²

Can someone help me?

[sonic root]

how

wait

ill rewrite without errors

Total = (Only A) + Center + (Only B)

40 = (Only B) + Center

Total - 40 = [(Only A) + Center + (Only B)] - [(Only B) + (Center)] = Only A

Total = 63

Thus Only A = 63 - 40 = 23

[steady ice]

The user shall be able to choose to save up a specified amount by a certain date for a specified reason, e.g. save R100 000 for an honours degree over five years. Given the interest rate that will be earned on the savings, calculate how much the monthly saving should be to reach the goal.

What would the equation be?

[noble sinew]

if this were true then A=Only A+(A and B)=23+27 which is not 42

[ocean sapphire]

i need help wit this

@dreamy cedar

[spring harbor]

yeah that's maybe a little bit too many exercises

maybe post one or two you are stuck on

Also maybe review complementary, supplementary and similar angles

you'd easily be able to solve them all

[ocean sapphire]

im stuck on all of them

[spring harbor]

then you should review what you learned

if you really have no clue what you're seeing then you shouldn't start with the homework/tasks

[ocean sapphire]

but i need to

to pass

[spring harbor]

https://www.youtube.com/watch?v=e4o7X6LyX-I&ab_channel=TheOrganicChemistryTutor

Watch this

if you're still stuck after that, @ me I will help you

but I need to see you doing efforts

[rapid thistle]

@ocean sapphire you were already told to read how to get help

And in particular do not send unsolicited pings

So at this point you're getting kicked from the server, come back when you're willing to follow the rules

[ocean sapphire]

ight peace

[mighty berry]

can I use Sn = a(1-r^n)/1-r for this? or is that the incorrect formula?

[spare fern]

Yes, you can

[mighty berry]

cool, thanks!

[wise jewel]

Can someone please check my RREF workthrough? I messed up along the way but I'm not sure where

<@&286206848099549185>

[sleek elbow]

dont instaping, wait 15 minutes

[wise jewel]

i posted this about 40 mins ago and im just reposting now with the helper tag @sleek elbow

[sleek elbow]

oh thats fine probably

[eternal adder]

Anyone know where to start learning calculus just for fun

[alpine sable]

Khan academy

[eternal adder]

Ty 👌

[wise jewel]

anyone...?

[alpine sable]

@wise jewel for 28, why bisect and not midpoint?

[wise jewel]

huh?

[alpine sable]

Oh sorry I was looking at the wrong thing

Where is your problem?

[wise jewel]

ok so

this is what im tryna solve

one second

i have to find the other pic

[alpine sable]

Ok

[wise jewel]

So this was my walkthrough process

I’m stuck at the last matrix I made, I can not turn that 8 into a 0 without changing other entries

[glass lichen]

-2-10 isnt 8

[ivory otter]

now that we are at matrices

can i throw in a question related to that

[glass lichen]

in use

[ivory otter]

while u helping

[glass lichen]

no

[ivory otter]

ok

[wise jewel]

LOL

[glass lichen]

#linear-algebra or a channel not in use

[wise jewel]

@glass lichen it wasnt -10 tho?

[glass lichen]

you subtracted R3

[wise jewel]

I did E1 - ( - E3)

So they add basically

[glass lichen]

$R_1-R_3\to R_1$

[ocean seal]

Mosh

[wise jewel]

but i didnt subtract them i added them

E1 - ( - E3) --> E1 + E3

I just wrote it weird

-2 + 10 = 8

@glass lichen

@alpine sable anyway this is the question

[alpine sable]

So you did 10-2 and got 8

[wise jewel]

right

but i cant turn 8 into a 0

without changing other entries

[alpine sable]

-1-1 and got what?

0?

[wise jewel]

oh...

i shouldve gotten -2 for that

[alpine sable]

Okay fix that for now

[wise jewel]

alr

[wise jewel]

welp

im confused again

why is dividing by 1/3 correct but doing E1 - E3 not

it still got me one for the first # of the first row

[glass lichen]

I just followed Gauss Jordan explicitly from the start

which is make (1,1) 1

[wise jewel]

wdym followed it explicitly, isn't gaussian just going number by number, column by column?

trying to make it [1, 0, 0]^T, [0, 1, 0]^T, and [0, 0, 1]^T ?

[glass lichen]

Gauss Jordan is just getting the pivot columns, so get the 1 then make the entries below 0, repeat for all columns

[wise jewel]

thats what i did

[glass lichen]

then make the entries above the 1's 0's if possible

[wise jewel]

wait

[glass lichen]

https://matrixcalc.org/en/slu.html also shows the steps

[wise jewel]

gauss jordan is where the numbers above the 1s are 0s, so is gaussian where the numbers above 1s aren't 0s?

[glass lichen]

Gauss Jordan gets the matrix into RREF

[wise jewel]

which is when the #s above the 1s are 0s

and gaussian gets it into REF, where the #s above the 1s are not 0s

if thats the case, why did my book say to use gaussian elimination, but then they ended up with their final matrix in RREF?

[sonic root]

I also got this question wrong on a quiz and I don't know what my mistake is

[tropic axle]

Does Stephen Abbott's Understanding Analysis introduce metric spaces?

[sonic root]

I also cant cheat because I already submitted the quiz.

[gray isle]

dunno what was already initially given in the diagram and what you put

[sonic root]

for mine?

[gray isle]

yes

[sonic root]

everything about the problem is there

the number line was all thats given

and the question asks what Ln Segment WY U Ln Segment YZ is

[gray isle]

and what did you submit?

[sonic root]

Line Segment WZ

[true kayak]

how do i simplify n²(n-1)²(n-2)

[sonic root]

distribute?

[true kayak]

i got to n²(n²-2n+1)(n-2) but after that i just got lost

[wary stream]

Continue distribution

[true kayak]

i did

but i failed

i dont know how to sinplify (n²-2n+1)(n-2)

i tried and tried checking it with a graphing calculator but i got different shapes

[jagged trout]

(n²-2n+1) * n - (n²-2n+1) * 2

[true kayak]

serioisly that simple?

[sonic root]

yes

[jagged trout]

sure

[sonic root]

then multply your answer by n^2

[true kayak]

i tried that and got an weong answer too

hmm

[sonic root]

if you dont mess up calculations it should turn out correctly

its quite difficult thought because there are many terms

[true kayak]

(n-1)(n-1)
(n-1)*n-(n-1)*1
n²-n-n+1

oh yeah i guess this works

normally i did it in my head

[jagged trout]

(n²-2n+1) * n => n³ - 2n² + n
(n²-2n+1) * 2 => 2n² - 4n + 2
n³ - 2n² + n - (2n² - 4n + 2)
n³ - 2n² + n - 2n² + 4n - 2
n³ - 4n² + 5n - 2

[sonic root]

you should use paper for such distributions

[minor crypt]

the empty set?

[true kayak]

thanks fuys

[sonic root]

how is an empty set?

[sonic root]

yw

[minor crypt]

because they dont share any segments

[wise jewel]

Welp i guess i will never be able to learn gaussian/gauss-jordan elimination despite spending 8+ hours on it nonstop 😄

[minor crypt]

actually, they share the point Y

[sonic root]

isnt it a union?

thus it should be both together right?

wait are curse words allowed onteh server

[minor crypt]

whoops

[jagged trout]

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

[minor crypt]

thought it was the upside down symbol

[formal abyss]

why would I choose the y axis here in of dx?

[jagged trout]

What would happen when you use the x axis?

[minor crypt]

I would just work the parabola out to y=...

Then take the integral of the line minus integral of parabola.

@weepo#0165

(why wont the pings work sometimes ffs)

[sonic root]

does anyone know why this is wrong

[formal abyss]

@jagged trout i did the dx one and it said to use dy as your variable of change

im just confused why not use dx?

@minor crypt

[ionic jewel]

looks legit to me idk

ask prof

[jagged trout]

@formal abyss ok I ask it in another way, what happen to the area of an integral when it is above and under the axis

[formal abyss]

? what

im confused

[sonic root]

whos prog

prof*

scapeprof?

[jagged trout]

@formal abyss
When you try to get the area from this, and you would integrate it from 0 -> end , will you get 3*A or 2 * A?

[ionic jewel]

ask your professor

or teacher

[formal abyss]

no idea

[ionic jewel]

or whoever assigned the problem

[sonic root]

k

[wise jewel]

what is swapping and pivoting in gauss elimination?

[jagged trout]

@formal abyss Ok, I ask another, would the middle area have a positive or negative value?

[formal abyss]

positive

oh the middle

it would be negative

[jagged trout]

@formal abyss and now look at your figure and where the position is

[sly mantle]

@tropic axle nothing on metric spaces. it introduces a particular topological space (R with the usual topology) and stays in that space from then on as it develops analysis concepts

[minor crypt]

I guess the only reason you would, is because it's much faster to find x=13-y then it is to find y=whatever that parabola becomes

although both should give you the same solution

[minor crypt]

you will get 1A

[minor crypt]

I dont understand the question

[jagged trout]

@minor crypt yeah, you're right

[alpine sable]

Which part

[minor crypt]

"I was supposed to use a probability argument"

I cant type apparently

[alpine sable]

Yeah my teacher said to pick points on a number line between 0 and 1

[minor crypt]

[alpine sable]

He said something like there was 2n+1 points

And x^n was the probability that n points came before x

So I’m assuming (1-x)^n is the probability that n points come after x

But I don’t know what to make of that

[minor crypt]

just know that (1-x)^n is not the same as 1-x^n

[alpine sable]

Yh

[minor crypt]

but what's the question here?

[alpine sable]

Integral from 0 to 1 of x^n(1-x)^ndx

[jagged trout]

And what's the problem?

[alpine sable]

I’m not understanding how to use an argument based on probability to come to the answer

[minor crypt]

I think you're combining stuff from your answer with what was given in the problem here. Can you just give us the problem by itself? I will try to solve it.

[elder vine]

Area of a triangle is b×h/2
(x+15)²/2=100
You do the rest

[alpine sable]

This is the problem

[minor crypt]

and what is n in that case?

[alpine sable]

Any natural number

[charred flint]

you have to do integration by parts n times

[alpine sable]

Heck it may be extended to reals

[charred flint]

oh it's an ugly answer

[minor crypt]

@charred flint his teacher told him he has to use 'a probability argument'

not sure what that means

[charred flint]

oh just express it as the probability of some made up event, that's doable

so like x would be a probability of something happening

(1-x) that it doesn't happen

you want x to occur n times then (not x) to occur n times

[minor crypt]

[alpine sable]

Yep those are the hints he gave

[charred flint]

and the integral means you take the average over all x values

[alpine sable]

I don’t know how to proceed with that

[spring harbor]

if it's probability function then the area must equal one

dk if that helps

[charred flint]

oh sorry I'm being real dense

[alpine sable]

Help pls

[minor crypt]

screenshot please

[alpine sable]

You cant see?

[minor crypt]

it's readable, but not ideal

[alpine sable]

^

[red ledge]

Why can we write roots as fractions?

Why?

Why do we write radicals as fractions?

[alpine sable]

what im having trouble with is putting the derivative of the function equal to -1/pi, and solving for x

[red ledge]

Okay

Thank you but I still don't know why

[alpine sable]

wasnt anwering your question

[jagged trout]

because:
x^(1/2))^2 = x^(1/2 * 2) = x^1 = x

[red ledge]

What if I understand nothing

Can you show it on the black board

[minor crypt]

take the integral of both sides, that will cancel out the differential and then you find x

[red ledge]

Anyway, thank you

I'II just focus now on what's important

[alpine sable]

is there a different way to go about solving it? i havent learned integrals yet

[minor crypt]

:o you have not?

[alpine sable]

no...

[minor crypt]

hmm lets see

[red ledge]

I don't understand why is this 1/m

Where did it come from?

Shouldn't it be n/m

[alpine sable]

it is

[minor crypt]

have you determined the differential of 2sinx yet?

[red ledge]

Okay

[alpine sable]

uhh 2cosx?

[minor crypt]

correct

now bring the 2 over to the other side

[alpine sable]

i set 2cosx equal to -1/pi right?

[minor crypt]

hold up, are you sure about -1/pi

[simple pond]

Whered you get -1 from

[alpine sable]

well if im using the equation f(b)-f(a)/b-a it should equal -1/pi no?

[minor crypt]

no

[alpine sable]

bruh

[minor crypt]

whats the sin(pi)

[alpine sable]

0

[minor crypt]

and sin(0)

[alpine sable]

1

oh shitttt

[minor crypt]

wrong

[alpine sable]

wait whaaa

[minor crypt]

thats the cos(0)

[alpine sable]

o

dam its 0

[minor crypt]

correct

so
$2\cos(x)=0$

[ocean seal]

Axhraf

[minor crypt]

find x

u still there?

[alpine sable]

ye im here im trippin up on my unit circle lol

[minor crypt]

lol

just remember the cos is the x-axis

know that 90°=pi/2

[jagged trout]

they are not so many possibilities for 2 * x = 0 so cos(x) must be already 0

[alpine sable]

yeaaa its just that i though that sin(0)=1 lol

[alpine sable]

x=pi/2;3pi/2

[minor crypt]

only one of those is right

remember is has to be within [0,pi]

[alpine sable]

oo bc of the closed interval right?

yeaa

thank you!

[minor crypt]

you're welcome

[alpine sable]

[alpine sable]

where did we go wrong lmao

[minor crypt]

its pi/2

[alpine sable]

o

[minor crypt]

lmao baka

[alpine sable]

LMAO i read it as "its the one on the right"

damn pain

[minor crypt]

spain without the s

was that a test for school?

[alpine sable]

no its homework lol, this 5 week course is killing me ive got 5 assignments due tomorrow

[minor crypt]

:p well good luck

[wise jewel]

@glass lichen am i allowed to swap columns in a matrix?

[slate monolith]

is there a stats discord server in the network?

[vague iris]

what's the difference between undefined and indeterminate?

[slate monolith]

for limits?

[simple pond]

Dont think so. Ask it here

[slate monolith]

ok well

is anyone familiar with the "An Introduction to Statistical Learning with Applications in R" text

[vague iris]

like when someone ask what zero over zero is some people say it's indeterminate

[slate monolith]

do u have calc experience

[glass lichen]

yeah a limit 0/0 is indeterminate

[vague iris]

but some say undefined

[glass lichen]

1/0 is undefined

[vague iris]

no sorry

[slate monolith]

well

for inderterminate forms in my experience

there are some ways to approach them as they are solvable

[simple pond]

What questions do you have

[slate monolith]

undefined is not solvable

[slate monolith]

i was wondering if it would be reasonable for a highschooler to go through the content

i have been asked to go through it for an internship but idk if its managable

[prime slate]

R is a fun language

[vague iris]

So what is the answer to the question what is zero divided by zero?

[slate monolith]

well

[prime slate]

usually means you messed up somewhere

[slate monolith]

not really

so say u have x/x

as x -> 0

then its 0/0

however u can use some rules to find out that the value is actually 1

but for 1/0 u cant do anything

[prime slate]

indeterminate form

[slate monolith]

^

[simple pond]

If its for an internship definitely do it. It could open up so many doors for you. Great opportunity. Take it! What are you trying to be when you finish college?

[slate monolith]

probably cs

but this isnt like a competieive internship

i didnt write any essays or antyhing

[simple pond]

Is it a paid internship?

[vague iris]

okay so 0/0 is indeterminate but 1/0 is undefined?

[slate monolith]

no

[slate monolith]

yes

[slate monolith]

its more like

because connections i can hang out with the grad studetns

[vague iris]

Ohh okay thanks!

[slate monolith]

and do some work

thing is I'm not a huge fan of stats

planning on majoring in cs

[simple pond]

Whats the internship for? Yeah even if you dont get paid connections are everything. If anything you could just quit if you dont like it

[prime slate]

lots of fun data structures and algorithms around the corner

[slate monolith]

its um

well they didnt tell me actually

its at a biology lab at a university

i did it 2 years ago

but legit last time it was sorting a list

based on a genome

so not exactly uh

groundbreaking work

[simple pond]

@slate monolith Try to find an even better internship that suits your future of cs or something to that effect and if you dont find anything better just take that internship and try it out for a bit. Could be a big regret if you dont try it out at all. Could be a good experience this time around who knows

[slate monolith]

yeah no im def going

dont got much else

i just dont know if i try to read the book

or use some other recourses

[simple pond]

Look on YouTube too. Theres a whole 8 hour course on it. One hour a day or 30min a day along with some practice and youll be done in no time.

[slate monolith]

for that specific text?

[random pelican]

A prop was used to secure a wall that was collapsing. Using the strut, the wall is perpendicular to the ground. It is known that the steepest inclination of this strut to the ground is 30 degrees, so CALCUATE the smallest inclination of this strut to the wall.

<@&286206848099549185> sorry for ping, but im with headache and just want to sleep and i am not understanding this

[slate monolith]

breh