#help-0

1 messages · Page 804 of 1

alpine sable
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I hope so

mortal void
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okay can i ask

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cause i see a question above so asking

alpine sable
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well usually if theres no activity after a while

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like 10 mins or so

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you may ask

mortal void
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okay wait

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can you help me with it

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and above there its simplify which got a y^3 mistakenly

alpine sable
mortal void
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<@&268886789983436800> help here

alpine sable
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or the binomial theorem

mortal void
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ban this guy

meager remnant
alpine sable
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not interested

mortal void
tame falcon
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@median escarp Knock it off

alpine sable
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just ban him already

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he multiposted that thing

alpine sable
mortal void
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okay i should google that formula

alpine sable
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I don't really get the hint

mortal void
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$(a-b)^3=a^3-b^3-3ab(a-b)$

ocean sealBOT
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EiVE D⚡

mortal void
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i tried but im getting stuck if using that hint also if doesnt applying the hint

alpine sable
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as said i don't really see how letting a=7x+5y, and b=7x-5y such that a-b=10y

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maybe i'm missing something

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I just can't see what it is

mortal void
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i see

alpine sable
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All I see is special cases, and the binomial expansion (theorem)

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$(a-b)^3=a^3-3a^2b+3ab^2-b^3$
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oh wait

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bruh

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wrong formula

ocean sealBOT
mortal void
alpine sable
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3ab²-3a²b = 3ab(a-b), so it was right

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** i forgot a minus

mortal void
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cause there both $(a+b)^3 and (a-b)^3$ are present

ocean sealBOT
#

EiVE D⚡

alpine sable
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I was thinking of difference of perfect cubes

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not the perfect cube formula

mortal void
mortal void
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should i give you some pictures of the attempts i did to solve this question

alpine sable
# ocean seal

(a+b)^3 would just be equal to the expanded on the RHS but all positive (ofc)

uncut jackal
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is it allowed to pay someone to explain me what to do?

ocean sealBOT
mortal void
alpine sable
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Just ask your question

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you'll get your answer

alpine sable
# ocean seal

@mortal void binomial theorem defined in summation notation

uncut jackal
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my question is a long mathematical question, im pretty sure no one normal in his mind is about to do it for free

alpine sable
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¯_(ツ)_/¯

mortal void
alpine sable
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why would i?

mortal void
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thankyou sir

alpine sable
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Teachers would be laughing at their students now

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if that makes sense

mortal void
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but i assume i am not supposed to apply this formula cause it wasn't on the chapter\

uncut jackal
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ill just get to the point im stuck and send it over

mortal void
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still i am gonna try learning it

craggy token
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So someone knows some platform to start math studies?

mortal void
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thankyou @alpine sable

alpine sable
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ok but about your question

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wanna continue it?

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Cause i don't get the hint it provides at all

mortal void
alpine sable
mortal void
craggy token
alpine sable
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Khan academy is good but probably find your syllabus

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and follow it

mortal void
alpine sable
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but idk in general use the internet

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I prefer books tbf

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if you don't want hardcopies you could get softcopies

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if you don't wanna buy 'em pirate 'em

mortal void
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yeah XD

craggy token
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Tell me some books, or doesn't matter?

mortal void
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i never did it, when i cover my course will try

mortal void
junior glacier
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Could someone help me with my math please dm me privately i have a few more questions

mortal void
tight locust
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Lol!

alpine sable
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what you wanna do

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rn I got some high school math book teachers provided

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and some books i bought

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which follow the same stuff

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except further mathematics

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and then I have my own books for self studies

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Set Theory, Infinitesimal Calculus, Analytic Trigonometry, and so on

craggy token
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I'm a beginner, super beginner

alpine sable
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So you had never ever done maths?

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So lets say you're idk 17 you dunno the bare bare basics?

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Like arithmetic?

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or algebra?

uncut jackal
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Do someone knows where is my mistake?

craggy token
alpine sable
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like absolutely stopped studying?

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so do you go to school?

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Do you get a formal education?

uncut jackal
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btw its a root function with parameter

alpine sable
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@mortal void

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are you doing your question?

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sorry I couldn't really help much

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but the 2 things i gave to you

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you could implement

ocean sealBOT
alpine sable
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Not really a quintic function, but the highest degree is 5

craggy token
alpine sable
craggy token
# alpine sable wdym

Professor tested, and I just answer with my friends answer, im sorry cuz i no very well with english

topaz sierra
#

I want to do an internal assessment regarding modelling gdp if yugoslavia was reunited

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and i was wondering if the solow-swan model is a good model to use for this?

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or if there are better models to use when modelling gdp if countries were combined

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because i read that the solow-swan model is more for long-run economic growth which could be useful in my case but idk

alpine sable
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wdym?

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I was responding to the i don't speak english bit

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afk

winter linden
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Im stuck here

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Pls help

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Need to prove rhs

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<@&286206848099549185>

uncut tapir
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(1-x)^2 ≠ 1^2 - x^2

woven echo
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yea u didn't distribute correctly

winter linden
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Oh wait

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Use the identity?

uncut tapir
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That's not an identity

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It actually means the opposite

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They are not equal but in your work you've assumed them to be equal

winter linden
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What

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.

rigid wind
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(1-x)^2 is not equal to 1^2 - x^2

winter linden
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Yeah?

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What its then

woven echo
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distribute them fam

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write out the actual terms multiplied together if it helps

uncut tapir
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In your working out you have a (1-cos)^2 and you wrote that equals 1-cos^2 that's the point I'm making

winter linden
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Isn't it doe? 🙃

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What is it then

woven echo
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(1-cos) * (1-cos)

winter linden
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Ok

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Ok ok guys i got now@woven echo @uncut tapir

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Thanks

woven echo
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np good job

winged walrus
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umm

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can someone explain epsilon-delta limit definition to me?

buoyant ivy
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umm

woven echo
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big umm

winged walrus
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i tried watching in yt but my head cant follow

woven echo
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i feel like khan academy's explanation is p good i dont trust myself to try

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lol

winged walrus
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i guess i need to shift to another course before the maths kill me

gray gorge
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What course are you in now

winged walrus
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bs chem :>

gray gorge
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Don't think you'll need a lot of $\varepsilon-\delta$ in your further career then

ocean sealBOT
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(R / I) / (J / I)

winged walrus
runic canopy
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What does it mean when it says x=a?

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This is my work, if you guys can’t understand it, plz say

woven echo
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unless a is defined somewhere i believe you just insert a for x

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but someone smarter than me might know better

runic canopy
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I was thinking the same thing

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But idk if it was going to be that simple

woven echo
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ikr that always throws me off too lol

runic canopy
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Lol yea so it would look like this then 😂

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;-; i am still waiting for mine to be answered

stiff lance
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Oh, sorry sorry

runic canopy
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Np 🙂

obsidian hawk
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can anyone help me find x

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for this trigonometry hw

runic canopy
astral dagger
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after you find it, just sub x with a

undone dock
# obsidian hawk

Find the length of the base of the larger right triangle and subtract off the base of the smaller right triangle

meager remnant
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Help :c

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says: the volume of the solid bounded by the surface is given by :

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:c

alpine sable
obsidian hawk
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yeah

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on this one

alpine sable
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ok this an orthogonal triangle?

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Could we apply our goniometric ratios here?

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or the pythagorean theorem?

alpine sable
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but I don't want to assume

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anyways you've been taught the laws of sines and cosines right?

obsidian hawk
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yeah

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i just got it

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311.0976

valid vessel
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reduce this differential equation in separable form and then solve???

vague coral
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that differential equation looks ugly

valid vessel
vague coral
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That wasnt my point

valid vessel
vague coral
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Hmmm, try to get something like :
y' e^y = something

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and integrate

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@valid vessel

final coyote
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What is geometry

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What is a transversal

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Some of these questions confuse me and cause me panic attacks

mellow frigate
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can anyone please help with the C part??

vague coral
# final coyote What is geometry

Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a geometer.
Until th...

final coyote
vague coral
mellow frigate
vague coral
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use this information

mellow frigate
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but the discriminant is less than 0

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thats the problem @vague coral

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am getting k^2 + 9 +2k when substituting in b^2-4ac

vague coral
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do you know the sign of k ?

mellow frigate
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no

vague coral
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find the discriminant of the discriminant such as k^2 + 2k + 9 is positive

alpine sable
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Whenever anyone gets the chance can u help me out in #help-5

mellow frigate
vague coral
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find the discriminant of k^2 + 2k + 9

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youll see something that will help you

mellow frigate
vague coral
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the discriminant is negative, that means that k^2 + 2k + 9 has no real roots

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and that means the sign of k^2 + 2k + 9 is the sign of the coefficient of k^2

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it said in the lesson about quadratic

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learn your lessons 🗿

mellow frigate
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so basically since the discriminant of the discriminant has no real roots, K would be positive. since K is positive f(x) has real roots?

vague coral
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the discriminant of the first discriminant is negative, thats why that first discriminant has the sign of the coefficient of k^2

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so our discriminant is positive

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then f(x)=0 has two real roots

mellow frigate
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i see

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thanks

chrome plinth
real minnow
woven echo
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180-132

jolly stone
real minnow
woven echo
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thats the supplementary angle for KML or whatever

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then that angle + JMK

kindred hull
real minnow
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ik

woven echo
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it's just a single degree less than 90

kindred hull
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So what u mean how

real minnow
kindred hull
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What is ur question can u clarify

woven echo
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o my bad lol i was answering the other guy confused you two

real minnow
kindred hull
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Bro

real minnow
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e

kindred hull
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Do you mean why?

real minnow
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what

kindred hull
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U asked “how” and I told you how

woven echo
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whats ur base and whats ur height fam

kindred hull
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It’s in the pic he posted

woven echo
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no i know

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i'm just prodding him

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lol sry

chrome plinth
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thx

woven echo
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np

winged walrus
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please help

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:>

kindred hull
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But someone explained it to him in another channel

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So it’s aight

woven echo
# winged walrus

set the difference quotient up by plugging x+h in g(x), and subtracting g(x) and then simplify it and eventually plug 0 in for h

flint compass
#

Hello, I'm new to this server.
I'm looking on some help with starting off on differential equations
Could you explain how I would draw a direction field given
Y'=3-2y

I looked at multiple Youtube videos and they all contained X in their equations however I do not have X, unless I solve the derivative- yet I am expected to not solve anything and be able to get the direction field off what was given. Not sure how to do that.

Do I have to get to
-1/2ln(|3-2y|)=x+C
to get the correct answer?

woven echo
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honestly idk i'd assume u just gotta plug in the y to get the slope

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and like any x for that y will be the same slope

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so like (0, 1) is gonna have a slope of 1, and (1, 1) is gonna have a slope of 1

alpine sable
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anyone wanna help me out on some algebra homework

woven echo
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but my understanding is super shaky

flint compass
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Like, my equation is (y) 😦

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Would one of the Helpers know Diff Equations?

woven echo
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someone would deeeefinitely know it better than me

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lmao

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sry i can't help more

flint compass
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I know I'm not supposed to @ them for 15 mins xD

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Hey man, no problem

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Glad I'm not the only person confused about this question! Haha

woven echo
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lol

flint compass
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Quit takin' my X's teacher!

noble bolt
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Substitute Y' with dy/dx

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There you got an x 👍

flint compass
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Hmmmmm alright. Lemme see if I can figure it out for a bit from there.
Is it okay if I @ you if I still can't figure it out?

noble bolt
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Of course

flint compass
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Thanks man! Means a ton- my knowledge is a bit rough because of online classes 🤣

noble bolt
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Np m8

alpine sable
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Hey math Gods

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Can someone help me. How they reached that inequality with induction?

regal oar
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does anyone know calculus?

magic geyser
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no

sage jacinth
woven echo
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the calculus channel is an illusion

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dont let it fool u

noble bolt
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What is a calculas?

woven echo
#

legolas's brother

placid zinc
#

@flint compass
So -1/2ln(... is the solution to the DE.

You're not asked for a solution, but you are asked for a direction field. That is, you want to draw a picture of the direction of y'.

For example, at the point (2,3), y' = 0, so that point gets a flat arrow

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Here's an example of one

flint compass
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Could you explain how you plug (2,3) into the equation?

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Do you convert Y' into dy/dx?

placid zinc
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(2,3) means x = 2, y = 3, in y' = 3 - 2y
There's no x, so you're just disregarding that first point.

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y' and dy/dx are the same thing

woven echo
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damn so was i actually right

flint compass
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Dude, there's no way it's that simple
I think you nailed it, @woven echo

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So the value of X doesn't matter since it's null @placid zinc?

placid zinc
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There's no x, so when you "plug in x" nothing changes.

flint compass
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Alright I understand, could you explain one more thing?

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If there is no X then how is there a Left/right to the graph?

woven echo
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it's still there it's just not part of the equation for the slope i guess

placid zinc
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x still exists.
But there just happens to not be one in the equation.

flint compass
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Makes sense, but how do plot it on the graph?

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I mean I have the picture

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But like, how did you get there?

placid zinc
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That's not the same as your function

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Just an example I pulled off Google

flint compass
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Ohh

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Okay

alpine sable
flint compass
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How would one graph it then?

placid zinc
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For example, at the point (2,3), y' = 0, so that point gets a flat arrow

woven echo
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you take the (x,y) coordinate and plug it in to that equation

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so at that specific coordinate that will be the slope

flint compass
#

YO, that makes so much sense

woven echo
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but it only actually uses the y in the equation

flint compass
#

Okayy

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So I plot the point, then plug that point into the equation so I get the slope!

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Interesting

woven echo
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yeah and to draw the directional field just draw the slope for that point like in that example

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a little line

flint compass
#

So what would y'=1 do to the arrow? Full vertical arrow?

woven echo
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it would be a 45 degree angle i think or whatever

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slope of 1

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at every single point

flint compass
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Oh right...

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Man highschool was so long ago I forgot

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It'd be pointing towards up one, right one- right?

woven echo
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haha it happens i got some gaps in my understanding for sure

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yea exactly

flint compass
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Awesome, I think I fully understand it now!

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Thanks y'all

woven echo
#

so in this particular one, you can imagine it's always "over 1"

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when its just a whole number

flint compass
#

Hmm, does this graph look right to you?

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I ran it through a calculator so I could check my answer

woven echo
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i believe so yea

flint compass
#

Awesome, thanks a ton! ^.^

woven echo
#

np man

placid zinc
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For example, at the point (2,3), y' = 0, so that point gets a flat arrow@flint compass

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It doesn't match up with that picture

woven echo
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well its 3 - 2y right

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wouldn't it equal 0 at 1.5

placid zinc
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Oh wow that's embarrassing haha. Yep, good call

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Ignore the ping

woven echo
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teamwork 😤

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haha

alpine sable
#

penis cock

sly mantle
#

@alpine sable next shitpost & you're out

uncut jackal
#

help me im stuck

astral dagger
vapid herald
#

could I get some help with this

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x dot and theta dot represent the derivative with respect to time

unkempt sail
vapid herald
#

<@&286206848099549185>

royal ermine
#

I need help with this problem

uncut jackal
#

I'm in doubt if the helpers can actually manage to help with that 😂

royal ermine
#

Why

uncut jackal
#

Thas a god damn aerospace engineering

royal ermine
#

Bruh

cinder finch
# alpine sable help

Here, This Should Solve Your Question...

You Use The Second Equation To Determine The Value For "Y," Then For X. After You Find X From The Y Value; You Substitute That To Find The Y Value From Inverse Operation.

cinder finch
#

I'm Assuming The Question Wants You To Round To The Nearest Whole

ancient saddle
# vapid herald

Hello, is the origin of the reference system always at the point where the wheel touches the floor?

royal ermine
#

<@&286206848099549185> need help please

#

check above

vapid herald
#

I am pretty sure I already have position, I have Pcos(theta) - Psin(theta), x = Rcos(theta)-x(center of mass) y = -Rsin(theta) + y(center of mass)

ancient saddle
#

consider that the center of mass is (0,R)

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then just take the derivative with respect to time

vapid herald
#

of just the simple Pcos(theta) - Psin(theta) ?

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or would it be V = x dot so being x = Rcos(theta) - x(center of mass)

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@ancient saddle

vapid herald
#

okay that makes sense okay let me compute that real quick

dreamy burrow
#

hello were do i find Geomatry

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Geometry

vapid herald
#

just post questions in any free channel

dreamy burrow
#

ok

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cause i need help with my work badly

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lmao

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im stupid asf

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i need help with this

vapid herald
#

post in a free channel below

dreamy burrow
#

oh alr

vapid herald
alpine sable
#

When this room is available plz at me

vapid herald
#

@ancient saddle would I add angular velocity to this

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or is that just 0

tame moss
#

what's the correct next step to simplify the denominator?

golden nymph
#

Omg

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Evil integrals

vapid herald
#

so its just

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-Rsin(theta) - xdot(com)

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right

golden nymph
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Sht I forgot how to do them

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Oh right

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You should’ve taken the 3 common factor

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Before the sub

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So it would be

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$(\frac{x}{\sqrt{3}})^2-1$

ocean sealBOT
#

ZozzDude

golden nymph
#

So your sub was wrong

tame moss
#

$$x = \sqrt{3} \sec{\theta}$$

ocean sealBOT
golden nymph
#

Yupp

slender marten
#

Why not just use u = x^2 - 3?

tame moss
#

I'm required to do trig sub

tame moss
rapid verge
#

what is the gradient?

junior ore
golden nymph
rapid verge
rapid verge
junior ore
#

rise/run

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is the more technical term

rapid verge
#

is the rise -300?

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or -100

junior ore
#

m = y2-y1/x2-x1

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just use this

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points are (-1,100) and (0,-200)

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yes ur answer before was right

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gradient is 300

rapid verge
#

thanks so much \

junior ore
#

:)

tame moss
ocean sealBOT
golden nymph
#

Umm

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?

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What about it

tame moss
#

$$x = \sqrt{3} \sec{\theta}$$

ocean sealBOT
golden nymph
#

Soooo

tame moss
#

what;s the difference between these too in my substitution?

golden nymph
#

Your sub was 3sectheta

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You should do sqrt 3

vapid herald
#

@ancient saddle are you there

golden nymph
tame moss
astral dagger
tame moss
golden nymph
#

Gon check

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Last step

#

A tan magically disappeared

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From the numerator

tame moss
#

oh oh oh

golden nymph
#

@tame moss

tame moss
#

it should just be sec^2

golden nymph
#

Yup

tame moss
#

fluff

#

this is wrong

astral dagger
#

if you need to, but that way is correct too

tame moss
#

$$\frac{3 \sqrt{\frac{x^2-3}{3}}} {\sqrt{3}}$$

ocean sealBOT
tame moss
#

this is the final answer

zenith birch
#

Can someone show me the steps to finding the deriviative of this? I'm in AP Calculus AB!

astral dagger
#

also you can just apply linearity and power rule, since sqrt(x)=x^(1/2)

zenith birch
#

I don't know if I did the product rule correct

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(x^1/2) ( 3x^2 -2x)
(1/2x^-1/2)(3x^2-2x) + (x^1/2)(6x-2)
This is as far as I got

astral dagger
#

it's correct

#

now you distribute and sum

#

remember power properties and you're done

zenith birch
#

so I foil right?

astral dagger
#

yeah

placid zinc
#

You've got the derivative, if that's all they ask for, you are already done

#

If you want to proceed to simplify, then yeah

zenith birch
#

I have to simplify

astral dagger
zenith birch
#

ty ill ask if my simplified is correct or not

astral dagger
#

ok

zenith birch
#

3/2x^3/2 - x^1/2 + 6x^3/2 -2x^3/2
3/2x^3/2 - x^1/2 +4x^3/2
11/2x^3/2 - x^1/2

#

@astral dagger

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Is that the final answer?

astral dagger
zenith birch
#

Did I?

#

I don't think there's a typo

ocean sealBOT
#

SubGui

zenith birch
#

Oh I see it

#

3/2x^3/2 - x^1/2 + 6x^3/2 -2x^1/2
15/2x^3/2 - 3x^1/2 @astral dagger

zenith birch
#

Yay

#

ty

astral dagger
#

np

bronze ice
#

yo uh

#

does anyone know how to do this

#

<@&286206848099549185> The left most digit of an integer of length 2000 digits is 3. In this integer, any 2 consecutive digits must be divisible by 17 or 23. The 2000th digit may be either 'a' or 'b'. What is the value of a+b?

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Idk if I'm being dumb or missing something

royal ermine
#

<@&286206848099549185> still need help on my question

plain torrent
#

ill be forever grateful

#

Determine the open intervals on which the function is increasing, decreasing, or constant.

glass lichen
plain torrent
glass lichen
#

yes

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so for example, the left most portion is increasing always

#

so at least on the interval (2,inf), f is increasing

plain torrent
#

yeah well i put that before i got it wrong

#

idk

#

ill do it again though

glass lichen
#

yeah, cause everything bar the the constant portion is inc

plain torrent
#

is decreasing DNE

#

does not exist

glass lichen
#

yeah it's never dec

plain torrent
#

its that it

#

?

glass lichen
#

yep.

plain torrent
#

much love

#

thank you

plain torrent
#

suggestions?

glass lichen
#

cause that isnt the answer

plain torrent
#

oof

glass lichen
#

there's 2 portions where the graph is increasing

plain torrent
#

oh right

#

so i put a union right

glass lichen
#

yes.

plain torrent
#

so

#

would it be (3,0)u(2, inf). @glass lichen

glass lichen
#

no

#
  1. (3,0) is degenerate,
  2. The function doesnt start at 3
plain torrent
glass lichen
#

what?

plain torrent
glass lichen
#

which part.... I said 2 things

plain torrent
#

2

alpine sable
#

Can someone please check over this and tell me what I did wrong? Because I got a decimal as an answer

rigid smelt
#

4*3 is not -12

alpine sable
#

I see

#

Would this be correct then?

#

I think so 👍

bronze ice
rapid verge
#

what is 2a

#

someone help

#

how do u find formula

#

@junior ore

proud burrow
#

The formula is m(gradient) = y2-y1/x2-x1

rapid verge
#

so for 2a is it 22-10/4-2?

#

@proud burrow

proud burrow
#

Yeah

rapid verge
#

thx

dim swallow
#

could someone help with solving this problem?

raven rover
# dim swallow could someone help with solving this problem?

How many 5-digit zip codes are possible if digits can be repeated?

Consider all of the possible choices for each individual position in a zip code. Given that repeats are allowed, the exact digit at any given position doesn't restrict the possible choices for other positions.

How many 5-digit zip codes are possible if digits cannot be repeated?

Consider all of the possible choices for the first position in a zip code. Regardless of whatever it is, it places restrictions on the possible choices you have for each subsequent position. This logic applies for every position in the zip code.

alpine sable
#

Can someone check this over too? I got another decimal

dim swallow
#

@raven rover is there a certain equation I could use?

raven rover
raven rover
dim swallow
raven rover
dim swallow
raven rover
#

You will have to multiply values (that you find yourself) together

#

The topic involved in called Combinations and Permutations

rapid verge
#

What would i do for 3a?

#

WHAT IS 3A

#

can some1 help

chrome heron
dim swallow
#

@raven rover I'm still stumped cause i checked the answer for the 1st part and it says 100000 and I don't understand how to get that answer

raven rover
raven rover
#

This means you multiply 10 by itself 5 times

chrome heron
#

exactly

raven rover
#

You can think about all of the possible "5-digit numbers", including those with leading zeroes

chrome heron
#

yes because it is a zip code

#

if it was without repetition it would be 10 * 9 * 8 * 7 * 6 * 5 because one digit would be chosen everytime

dim swallow
#

@raven rover Okay I understand the 1st part kind of I did 10^5 and got that answer however I don't know about the 2nd part

raven rover
#

How many 5-digit zip codes are possible if digits cannot be repeated?

Consider all of the possible choices for the first position in a zip code.

The number of possible digits you can put into the first position is 10 (all of the digits 0-9).

Regardless of whatever it is, it places restrictions on the possible choices you have for each subsequent position. This logic applies for every position in the zip code.

So for the 2nd position, we only have 9 options, because 1 of those options was removed from filling in the first position with a digit.

For the 3rd position, we only have 8 options, because 2 of those options were removed from filling in the first and second positions with different digits.

torpid hazel
#

is it still a 5 digit zip code if the first digit is zero?

dim swallow
#

Okay I think I understand now thank you @raven rover

errant oracle
#

can someone help me with my ordinary differential equations hw?

jovial forum
#

How do I solve the following system of equations:

#

y-2zx=0, x-18zy=0, x^2+9y^2-16=0

blissful crag
#

guys how to solve it

deft python
#

What is the value of a, b, and c of the equation:

#

qwait

#

x^2=0

errant oracle
dense kite
alpine sable
#

can someone help with this

woven echo
#

what was that link fam lmao

alpine sable
#

its a upload things ignore it

#

help me do that pls 👀

alpine sable
# obsidian hawk yeah

mb dude dad had closed this wifi, it was kinda late and I got a docs appointment early in the morning

tight locust
mint nest
#

i posted it there because it is long

raw folio
#

i did the first one i got 2root10 but the ans was supposed to be 2root2- please help

alpine sable
raw folio
#

set it up?
i just used the formula

#

wait

#

i will tell you what i did so far

ocean sealBOT
alpine sable
#

Probably you must've messed up somewhere in your arithmetics

raw folio
#

root (3-5)whole square + (-6-8)wholesquare
root(-2)whole square + (-14)whole square
root 4+196
root 200

#

thats what i did

woven echo
#

the -6 -8

wary stream
#

-6 - -8

raw folio
#

um?

alpine sable
#

Yeah you got (-8)

wary stream
#

Not -6 - 8

woven echo
#

subtract the negative

alpine sable
#

not positive 8

raw folio
#

OHHH i got it

woven echo
#
  • (-8)
raw folio
#

thankss

mint nest
#

bruh can i get some help

#

the solution is prolly so simple

wary stream
alpine sable
#

can help with this.

mint nest
hallow magnet
#

I got like

#

a quick maff

#

If anyone knows the Intermediate Value Theorem, if f(x) is defined from [0,2] for example, then does f(0)<f(c)<f(2) or f(0)<=f(c)<=f(2)

#

so basically are the endpoints included in the possible range

mint nest
#

yes

hallow magnet
#

so its the latter

mint nest
#

yes

hallow magnet
#

and you're 200% sure of it

mint nest
#

<=

#

[]

#

yes

#

you could have found this by doing 1 google search

#

[a, b]

hallow magnet
#

ok theres no other reason why i wouldve gotten it incorrect lol

#

between f(a) and f(b) as in range: [f(a), f(b)]?

#

because im kinda getting conflicting sources here

mint nest
#

yes

hallow magnet
#

some say its (f(a), f(b))

mint nest
#

hm

hallow magnet
#

yeah lmao im kinda having doubts rn

mint nest
#

me too

hallow magnet
#

uhh

#

any calc expats hre

alpine sable
#

what

hallow magnet
#

uh oh

#

did i just ask something that confused many people

dire wren
#

i suck at probability

#

does anyone know what type of probability is in #18 and #19

#

like what its called

#

or like a video

#

idk

distant bobcat
#

How to do this?

undone dock
ocean sealBOT
undone dock
#

And then use
$$\int_{a}^{b} f(x)dx + \int_{b}^{c} f(x)dx = \int_{a}^{c} f(x)dx$$

ocean sealBOT
undone dock
#

Is it more clear what to do now?

glass elm
#

is e^log x = 1?

#

and is d/dx e^log x = 1?

undone dock
glass elm
#

@undone dock what about the other log?

#

then, will it be 1?

distant bobcat
jolly stone
# alpine sable can help with this.

i did a bamboozled trickshot and somehow got that worked
x^5 - 2x^2 y^2 + y^5 = 0
so we notice that it almost looks like a perfect square for first two terms: (x^3 - y^2)^2 = x^6 - 2x^3 y^2 + y^4
multiply by x in original equation, and add y^4 - y^4 term on LHS we get
x^6 - 2x^3 y^2 + y^4 - y^4 + xy^5 = 0
(x^3 - y^2)^2 - y^4 (1 - xy) = 0
(1 - xy) = (x^3 - y^2)^2 / y^4
so sqrt(1-xy) = (x^3 - y^2)/y^2, a rational number

alpine sable
#

lol

#

tysm

#

help

jolly stone
#

i have no idea why that method works, i actually want more elegant solutions than this

jolly stone
alpine sable
#

it equals 100, but we need to subtract some stuff

#

wait

jolly stone
#

hold on im actually stuck a bit

#

but that's probably where we should start

#

ok we change a bit: consider (a+b) + (c+d) = 10 and (a+b) * (c+d) = 16

#

we can find (a+b) and (c+d) by the factorization technique

#

so (a+b) = 2 and (c+d) = 8, or (a+b) = 8 and (c+d) = 2

#

both 2 cases should lead to the same answer

#

do the same for (a+d)(b+c)

alpine sable
#

right now we need to subtract 2a(b+c+d)+2b(c+d)+2cd from 100

#

but that method doesn't work

jolly stone
#

yeah it didnt, soz

alpine sable
#

im trying to find ab and cd

surreal meadow
#

how about
(a+b)(c+d) + (c+d)^2 = 10*(c+d)
16 + (c+d)^2 = 10 * (c+d)?

#

would that get you guys anywhere?

#

you can treat this as a quadratic and maybe do something with it

alpine sable
#

hmmm

surreal meadow
#

so (c+d) = 16 or 4, don't know if that's helpful lol

jolly stone
#

ok so

#

wolframalpha told me it has infinitely many solutions

surreal meadow
#

a+b + 4 = 10 -> a+b = 6
(a+b)4 = 16 -> a+b = 4 which does not compute

jolly stone
#

and a^2+b^2+c^2+d^2 has multiple values

#

,w evaluate a^2+b^2+c^2+d^2, a+b+c+d = 10, (a+b)(c+d) = 16, (a+d)(b+c) = 24

ocean sealBOT
undone dock
ocean sealBOT
jolly stone
#

tried to solve for a,b,c,d but the 4 equations actually became only 3 equations (1 free variable)

surreal meadow
#

c+d = 8 or 2

undone dock
surreal meadow
#

can someone help me spot the mistake cause i'm going crazy:

a + b + c + d = 10
(a+b)(c+d) = 16
w = a+b
z = c+d

w+z = 10
wz = 16

wz + z^2 = 10z
16 + z^2 = 10z
z^2 - 10z + 16 = 0

z = (10+-sqrt(36))/2
z = 8, 2

w + 8 = 16 -> w = 8
but 8*8 =/= 16 

and w + 2 = 16 -> w = 14
but 14*2 =/= 16

did i introduce extraneous solutions somehow?

jolly stone
#

where did w+8 = 16 come from

#

isnt it 10

versed prairie
#

What is the answer for this ??

surreal meadow
#

oh it's 10

#

smh

#

thank you for catching that

jolly stone
#

but still i dont think it's solvable

#

wolframalpha even told us that

surreal meadow
#

well we now know that a+b = 2,8 and so is c+d

versed prairie
#

I got D so checkin'

surreal meadow
#

so

a+b+c+d = 10
w = (a+d)
z = (b+c)
wz + z^2 = 10z
...
z = 8,2

a+d = 6 -> b+c = 4
a+d = 4 -> b+c = 6

a+b = 8 -> c+d = 2
a+b = 2 -> c+d = 8
#

can something be done with those last few eq.?

jolly stone
#

i think you meant a+d, b+c = 4, 6

surreal meadow
#

do i

#

oh yes i put wz = 16 instead of 24

#

my bad

versed prairie
#

Smne answer mine

jolly stone
# surreal meadow my bad

then unfortunately you can solve b,c,d in terms of a, and then the term a^2+b^2+c^2+d^2 becomes some expressions in terms of a

zinc minnow
#

hey i guys i'm new here

#

i have a question about geogebra classic 5

#

does anyone know how to do this graph in geogebra which is made in desmos ?

rigid smelt
#

have you tried something like f(x)={0<y<17: -(x-11)^2+17}?

#

tho actually you can just type in f(x)=-(x-11)^2 + 17 {-sqrt(17)+11<x<sqrt(17)+11}

#

that is still an appropriate input in geogebra iirc

zinc minnow
#

ok will try it thanks

rigid smelt
#

or if that fails, i guess you'll just have to return to using the if function

#

just type f(x)= if

#

and there will be an intstruction for you

zinc minnow
rigid smelt
#

well it doesnt, its just a domain restriction that is written out rather than a range restriction. As of my experience with geogebra, it cant process multiple inputs at once very well, or maybe im just really noob at it

#

so usually, i just put everything in terms of a variable

#

but i dont use geogebra much so i cant say

#

maybe if you use the if(condition, result) function, you might still be able to input 0<y<17 as a valid input

zinc minnow
#

ohh ok thank you very much

winter perch
#

Hello. can someone help me with this table it is saying exclusive above but its inclusive in the table

rigid wind
#

"exclusive or" (XOR) is the name of the operator

shell quail
#

hey what formula is this or just explain to me what is this exactly.. n^2 + 2

vale wigeon
#

n^2 + 2 is an expression

#

one that isn't very remarkable

#

where did you see this that made you ask such a question?

shell quail
#

I dont know its from my friend, I think he had like a sequence problem

vale wigeon
#

is this from a conversation with said friend?

#

can you screenshot the relevant part(s) of the conversation?

shell quail
#

our message conversation isnt in english

vale wigeon
#

again, like, the expression n^2 + 2 is really not remarkable at all. it's a quadratic polynomial in n and it doesn't have much significance beyond that.

#

okay, then what language is it in?

shell quail
#

its filipino

vale wigeon
#

...right, nevermind

#

maybe you could look through it still and post your friend's problem?

#

even if it's in filipino too

#

if there's something that needs translation i'll ask you

shell quail
#

its finding the 25th tem on the sequence: 3, 6, 11, 18

#

thats why he wants to know what this n^2 + 2 is all about so he can try to answer on hes own

#

and they werent given a formula as well..

vale wigeon
#

and you're given nothing except the first four terms of the sequence?

#

and you're just expected to guess that this sequence is generated by the formula a(n) = n^2 + 2?

shell quail
#

yeep thats their problem.. nice teaching ammaright?

vale wigeon
#

garbage teaching.

shell quail
#

they werent given a formula just solve the 25th term

#

with the sequence 3,6,11,18

#

its philippines best online class ever :))

vale wigeon
#

the 5th term and all terms following it are equal to 19 until further information is given that contradicts this

small cypress
#

guys i dont understand this

#

i mean just c

shell quail
alpine sable
#

im just a smol kid

#

like, grade 8

#

but urhhh

#

so, altogether there are 60 ppl right

#

and those 60 ppl have been divded amongst the 5 genres

small cypress
#

yes

alpine sable
#

so, how many ppl amongst the 60 like factual tv programmes?

#

|| 15 ||

And so since there are || 15 || ppl who like factual programmes, you put the amount of ppl who like factual programs over the amount of ppl in total, which is 60

#

so the answer would be 15 / 60
However, we can simplify this;
There is 1 “15” in 15, and 4 “15’s” in 60

#

therefore the simplified version, would be 1/4

small cypress
#

i was asking abt c lol

alpine sable
#

i hope this helps you <33 but if it dosnt, i apologise 🙏 as i said im only a smol kid so i probs dont get the concepts of the question aha so yeah maybe ask smne who is smarter than me lol :)

alpine sable
small cypress
#

lmao

#

do u know how to do c?

alpine sable
#

hm possibley 🤔

#

well

echo spire
#

Is the channel occupied?

alpine sable
#

I think so, we’re just trying to figure out the problem above ^^

echo spire
small cypress
#

?

echo spire
#

Basically, if 3 girls are wearing a black and one girl wearing a red shit the probability of me choosing the red girls is 1/4

#

4 girls are wearing black = total cases
And one girl wearing a red shirt = favorable/acceptable cases

#

Apply the same concept

#

So, can someone help me here I need to find out how many functions there are with this propriety

alpine sable
# small cypress ?

Well, wouldn’t you just find the probability of finding smne choosing drama, which is ???/60 and then when you find the game show one it would be ???/59??

#

idk you could try georges method it’s probs right lmao

small cypress
#

ohhh I see George

alpine sable
#

help please

vale wigeon
#

$b + \frac{c}{a} + b$... looks very suspicious \thonk

ocean sealBOT
alpine sable
#

huh

vale wigeon
#

it sounds like someone intended to type something else but screwed it up

alpine sable
#

its right, lol

#

theres an awnser too it when i finish the problem

woven echo
#

It's weird bc they didn't put 2b

vale wigeon
#

if it really is right, then why didn't your teacher write it as $2b + \frac{c}{a}$?

ocean sealBOT
vale wigeon
#

anyway, this looks like it'll involve a lot of annoying number-bashing

alpine sable
#

i think i have the awnser, but im not sure

alpine sable
#

what happens here, I don't understand these 2 steps :(

vale wigeon
#

divide both sides by 5

#

that's what's happening here

woven echo
#

they just swap the order of -5y^4 and + 3 and divide by 5

alpine sable
#

I don't get it

woven echo
#

3 - 5y^4 is the same as -5y^4 + 3 yea?

#

they just switch them around

#

sry i forgot the y up there in the first one lol

#

does that make sense to u tho?

alpine sable
#

no

woven echo
#

so think about like 2 numbers without any variables if that makes it easier

#

if you have 5 - 3

#

easy right thats 2

#

now if you just swap them but keep the signs right

#

-3 and +5

untold tapir
#

its known as the commutative law

woven echo
#

ye

alpine sable
#

why is the x in 5x separated from 5 in the 2nd step

woven echo
#

that's where they divide both sides by 5

rigid wind
#

divide both side of the equation by 5

woven echo
#

in an effort to start isolating that x variable

rigid wind
ocean sealBOT
queen raven
#

How do i factorise a quadratic expression using complete the square method

vale wigeon
#

complete the square, then apply the difference of squares identity

alpine sable
#

why are they dividing them by 5 tho

woven echo
#

so you can solve for x

vale wigeon
#

actually @queen raven we should move to another channel

queen raven
#

go to questions 5

alpine sable
#

damn math is just not for me

woven echo
#

just keep at it

vale wigeon
#

clar, have you ever solved equations before in your life?

alpine sable
#

easy ones

versed prairie
#

Anyone Up. I am doing a worksheet on Relations and Functions and can't figure what this tries to convey and you know the rest. Help me to solve it....

#

Please Help Meh

alpine sable
#

wait 2x = 2•x? i never knew that wow

#

why didnt you tell me

olive stump
#

Can anyone help me solve this?

junior ore
#

but u can just rationalise the denominator

#

may take a while though

olive stump
#

k

#

I tried rationalizing and then got stuck

junior ore
#

u can just wait

#

theres prob some better ways to do it

olive stump
#

k i will wait.

junior ore
#

if u try throwing it into symbolab it gives u step by step

olive stump
#

I got $\frac{7\sqrt{15}(\sqrt{2} - 1)}{5}$

ocean sealBOT
#

Mark Traces

olive stump
#

And then got stuck

junior ore
olive stump
#

I thought i could take lcm but then it would just get longer

junior ore
olive stump
#

Nah

junior ore
#

which part is this then?

#

or was that sarcasm

untold tapir
#

try and solve the other two fractions, see if they cancel out?

#

rationalize*

olive stump
#

$\frac{7\sqrt{30} - 7\sqrt{15}}{5} - 3\sqrt{30} + 2\sqrt{5} - 6$

#

I got this

ocean sealBOT
#

Mark Traces

olive stump
#

And then got stuck

junior ore
#

oh wth howd u get to that

#

did u rationalise every single fraction individually?

olive stump
#

Ye

#

I rationalized all of them individually

untold tapir
#

what about the $-\sqrt(10)$ at the end?

ocean sealBOT
#

andrewkong972

untold tapir
#

or did i do it wrongly

olive stump
#

i didn't get that in my rationalizing process

jovial forum
#

Can I ask a question now or is this still in use?

#

Should be a quick one

olive stump
#

This is still in use

jovial forum
#

No worries

versed prairie
#

Take LCM and Conjugate it

#

You can't rationalise each of them seperately

junior ore
#

u cant??

olive stump
#

oh ok. Thanks!

junior ore
#

btw the answer

#

is very long

#

so idk if ur teacher give u deliberately

versed prairie
#

You can conjugate them seperately but it'll literally confuse you

untold tapir
#

i got $\frac{5\sqrt{10}-7\sqrt{15}-3\sqrt{30}}{5}+4$ lol

ocean sealBOT
#

andrewkong972

junior ore
#

oh ok

#

idk i put into calculator

#

is this the ques?

olive stump
#

Yea

junior ore
#

yeah ok well i put that into symbolab

#

and the answer is what i screenshotted^

olive stump
#

I see

junior ore
#

yes unless somehow it is wrong

#

but who knows

olive stump
#

Can u send me the process?

junior ore
#

here

#

is the solution on it?

olive stump
#

Yea

#

Thanks

junior ore
#

they did it the lcm

#

regardless the answer is very complicated

#

or its very algebraic

undone dock
# junior ore

that doesnt seem right, i doubt a teacher would give a question like that

junior ore
#

but unless i put the ques wrong in the calculator^

#

it cant really be wrong

alpine sable
#

whats the initial question

olive stump
undone dock
alpine sable
#

hm why would they give you such a question lol

undone dock
#

wolfram alpha gave this, which is the same thing i got working it out by hand

#

i just multiplied each fraction by the conjugate

olive stump
#

I see

#

occupied

undone dock
olive stump
alpine sable
#

hello

olive stump
alpine sable
junior ore
#

so i did put in calculator wrong??

undone dock
#

no you put it right, i assume that it was some sort of calculating error which sometimes happens with long computations, not sure though

junior ore
#

oh okk

#

thats interesting to know

undone dock
olive stump
#

Thanks!

undone dock
#

ask if you have any questions

#

youre welcome

jovial forum
#

Hello

#

can someone step me through this?

#

Engliush is my second language so not understanding lecture

alpine sable
#

oh boy lol

#

I won't be here for long but probably best search up simultaneous equations

#

with 3 vars

#

and 3 equations

jovial forum
#

honsetly i get the basic idea i'm just struggling to get the answer

#

tried substite and keep messing up or something,

alpine sable
#

Maybe try elimination

#

usually that's easier

#

but as said imma have to head out in a bit if nobody answers i'll check it out

#

maybe in 2 hrs

jovial forum
#

thanks, would appreciate, I'm sure it's something dumb I'm doing

alpine sable
#

does xVy mean X • radical y ??