help-0

[wind hill]

yup nt x-7

okok thank you

[gray isle]

and when i say "rough sketch", something as crappy as this is enough to help you see the solution

[wind hill]

oki oki %_%

^_^

thank u evryone!

[lone heart]

@wind hill Has your question been resolved?

[lone heart]

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[flint quail]

For part b) I got 10 which was the correct answer however for part a I'm not sure on how to approach it exactly

I originally thought that it was just a permutation but that isn't apparently correct

[vapid sinew]

The number of scoops doesn’t matter?

[steady kindle]

my question

[flint quail]

ah yeah

[vapid sinew]

So basically u can’t reallly get an answer

[steady kindle]

For part a) there is 3 choices of flavours for the first scoop and then 3 choices for the second one and 3 choices for the third one
pretty straigth forward lmk if you need coaching @ league im chall

[vapid sinew]

Do u have an answer given

[steady kindle]

27

[flint quail]

27 apparently

ah

[steady kindle]

3^3

[flint quail]

yeah that makes much more sense 😅

Sorry about that

And thank you

.close

[lone heart]

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[rocky orbit]

Hi

[steady kindle]

Hello sir how you get studying tag plz @rocky orbit

[worn fox]

,Iam studying

[ocean seal]

Gave you the studying! selfrole.

[lone heart]

Available help channel!

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[mossy current]

I understand up to here

[runic hull]

are you familar with logarithims?

[mossy current]

Calculators cant be used

Just paper

[runic hull]

sure but you can leave it in terms of the log

[hot snow]

do you need exact answers?

[mossy current]

If your able to do that on paper I'm not familar with log

[mossy current]

Exact answers?

No

Not something like this

[hot snow]

ok

so you can leave it in terms of log?

?

[mossy current]

Shall I provide the answer?

[runic hull]

... if you're also not allowed to use a calculator that is going to be very difficult to do

[mossy current]

Heres the answer

Probably a very simplified way

[hot snow]

I get that

[mossy current]

I just don't understand it

[hot snow]

what they have done in here is correct only if you want the integer solution

[mossy current]

so I get up to here then im unsure on what to do

I mean theres 2 answers

x ≤ 5 or x < 6

So theres multiple way ig

How would you guys do it?

I could just make it 2^5 but I dont understand it logically

[hot snow]

I would just take log()

[mossy current]

I havent been taught log sorry is there like a simplier way?

so if x is 5

would that mean 2x^5-1

Thats what I dont get

Im probably doing something very wrong though

so its probably me

?

why delete message?

[hot snow]

no you are doing it right

[mossy current]

nvm someone deleted msg

[mossy current]

How would you do it?

[hot snow]

the simplest way is the method in here

[mossy current]

I don't understand why though

Like I could just memorise that but it doesnt make logical sense to me

Is it just a bad question?

[hot snow]

they have tried to guess the x by seeing what power above 2 can get a number lower than 20 and higher than 20

[mossy current]

so its guess and check?

[hot snow]

and the right solution would be between those two

[hot snow]

here being 2^4 and 2^5

then they have put x-1 <= 4

and x-1 < 5

[mossy current]

t is full marks for the question btw

[hot snow]

what are you even talking about?

[mossy current]

Alright so when I get up to this
2^x-1 < 20

What would I do?

I try 2^4 and 2^5 instead of 20?

[hot snow]

you would check to see the power of 2 needed to be below 20 and above 20

alright

lets try 2^(x-1) < 9

[mossy current]

9?

[hot snow]

lets go a different route to see if you can do this kind of question

[mossy current]

Would I write down
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32

[hot snow]

which of the two of these has 9 between them?

you have to look for that

[mossy current]

2^3 and 2^4

[hot snow]

yes

correct

[mossy current]

Where is 9 from though?

[hot snow]

random thing i made up

you already knew the solution to 20

[hot snow]

and then you put x - 1 <= 3

[mossy current]

oh a different question

sorry I didnt relise

[hot snow]

its alright

[mossy current]

2^(x-1) < 9

So then 2^3

but that would be 8

[hot snow]

yes it is < 9

[mossy current]

ahh

so <= 3

[hot snow]

that is the way the solution you have shown me has done it

[mossy current]

ahhhhhhhhhhhhhhhh

Okay Im starting to understand now

so then

x-1 <= 3

[hot snow]

yes

[mossy current]

x <= 4

?

[hot snow]

yes

but you will also get x < 5

since there are also a few values of x above 4 that get you less than 9

[mossy current]

im confused again lol

[hot snow]

that was correct the one which you deleted

[mossy current]

2^(x-1) < 9

(x-1) < 4

x < 5

[hot snow]

yes

so you have both the answers now

x < 5 and x <= 4

this is well as I can explain cuz the best method would be log() using it would give you the exact solution

[mossy current]

So would put x < 5 and x <= 4

[hot snow]

yes

[mossy current]

I appreciate the help 🙂

[hot snow]

If you think you are still a little bit confused you can try pinging helpers

[mossy current]

No that was a good explaination

I appreciate it 🙂

[hot snow]

thanks

[mossy current]

Have a great day 😄

[hot snow]

you too

[mossy current]

.close

[lone heart]

Channel closed

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[brave stump]

ok so

For the first one

In 1 second

it crossed a total of 4 metres

so the speed got to be 4 metres a second

[alpine sable]

it crossed 6 metres bruh

at 1s its at 2m and at 2s its at 8m

[brave stump]

oh yeah my b

[alpine sable]

the average speed is always total distance over total time

so 6 over 1 giving 6m/s of average speed

[brave stump]

Im indeed sleep deprived

[alpine sable]

Hmm ok i got the first one

What ‘bout the other 2

for the second one, remember that in a Velocity - Time graph, the slope of the tangent to any point of the curve gives the magnitude acceleration at that instant of time

since it can be written as dv/dt

so the fourth option would be correct

for the third one, you have to notice that the acceleration is not changing with time, i.e. it is constant

it is given that the object is released from rest, i.e. its initial velocity, lets say u, is equal to 0

from that you can use the second equation of motion, which goes

$s = ut + \frac{1}{2}at^2$

[ocean seal]

dimpledoink

[alpine sable]

where s is the displacement, u is the initial velocity, t is the time interval and a is the acceleration

plug in the values and you have your answer

remember that equations of motion are only valid in case of constant acceleration

Ohhhh

So i use fórmula and not take the area

Thank you so much!

!close

.close

[lone heart]

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• Be polite and have a nice day!

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[worn needle]

Hello

[brave stump]

ask

[worn needle]

I need help with calculus

[alpine sable]

ask

[worn needle]

What is the concept of calculus?

[alpine sable]

Oh, you mean what calculus is about generally?

[worn needle]

Yeah

[alpine sable]

Hmmm, that's not a common question...

[brave stump]

wait I have the perfect thing

Lemme find it first

[worn needle]

I am not a common person

[alpine sable]

I see

I guess how I personally see it calculus is mostly a way to study functions much more closely

[worn needle]

I see

[alpine sable]

Limits, derivatives, integrals, all of these are tools that tell you a lot about a function, which you could not do with algebra

[proven leaf]

I've always liked "the study of functions at the infinities" limits, derivatives, integrals, etc. all have to do with infinity one way or another :)

[alpine sable]

But other people will likely give very different answers

[brave stump]

dis https://www.youtube.com/watch?v=OmJ-4B-mS-Y&t=338s&pp=ygURdGhlIHN0b3J5IG9mIG1hdGg%3D

good video

[hot snow]

this is a great answer honestly

[worn needle]

Are limits part of calculus?

[hot snow]

yes

[alpine sable]

Now that you mention it... Limits are when you get infinitesimally close to a point, derivatives are when you measure infinitesimal change (I much prefer "infinitesimal" to "instantaneous" change because the latter is an oxymoron), and integrals are when you add infinitesimal slices...

[proven leaf]

that's why I love putting it that way

[alpine sable]

Calculus is like a multi-purpose microscope for functions

[worn needle]

Any self study math book recommendations?

[proven leaf]

I've also never thought about the derivative being called infinitesimal change, that actually is a lot better way to put it now that I think about it

[alpine sable]

Unfortunately no, I don't read math books. I don't know if you're interested in e-ducation in any way but 3b1b has made an excellent series on calculus
https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PL0-GT3co4r2wlh6UHTUeQsrf3mlS2lk6x&ab_channel=3Blue1Brown

[worn needle]

What do you mean by e-ducation

?

[proven leaf]

electronic education i think?

[brave stump]

like online material

[alpine sable]

"e" as a prefix usually means "the internet version", like in "email"

"e-ducation" is a play on words meaning internet-based education

I'm pretty sure I heard it somewhere

[proven leaf]

ye ok electronic education

[worn needle]

That will be e-education

[alpine sable]

Oh c'mon, we both know that sounds weird

[worn needle]

I agree

How do you learn math?

[alpine sable]

Mostly YouTube videos

[proven leaf]

also practice, practice, practice

[worn needle]

Do you still go to school?

[alpine sable]

Yes

[proven leaf]

yes

[worn needle]

Wich grade?

[alpine sable]

Uh I think the English equivalent is like 10th grade

[proven leaf]

going into senior year

[alpine sable]

We use different terms here in France

[proven leaf]

holy shit dude

[alpine sable]

I'm gonna turn 16 this year

[proven leaf]

I just turned 18

[proven leaf]

that's fucking awesome for how much math you know!

[worn needle]

Explain...

[worn needle]

Me too

[alpine sable]

I like that they have to make the videos interesting otherwise they don't get views, that they almost always take a discovery-based approach, that they focus a lot on intuition, that I can watch whatever kind of content I want to whenver I want to, that I can take breaks, and that I can go back if I didn't understand something. This makes YouTube videos so much more interesting than classes, in my personal opinion

[proven leaf]

I think the only upside to lecture based classes, is you retain information better and you can ask questions, but you can do that online too ig so, you're preference :)

[worn needle]

Can I learn math only from youtube?

[proven leaf]

youtube and practice

no man ever became good at anything because he watched someone do it

[alpine sable]

In theory yes, but as MrFancy just said you should practice a lot. That's what's mostly lacking from my own education

[worn needle]

Without classes?

[proven leaf]

same

[alpine sable]

Ouch... Yeah, that's my little secret, I basically don't practice at all...

[worn needle]

Don't I need to buy books

[proven leaf]

that's also why I liked helping here, helps me practice and I get to help people :)

[alpine sable]

In theory no, you can skip classes and books. But if books and classes work well for you you have no reason to switch over

[worn needle]

I love France

[alpine sable]

If I learn mostly using YouTube it's because I personally find math videos very interesting, which isn't the case of most people

[worn needle]

I only remember few words although I learned it at school

[hot snow]

most people dont like maths

atleast the ones i know

[worn needle]

These people are called the lazy @agile ploveres

[hot snow]

....

[alpine sable]

I would disagree

It's true that math at school is boring for the most part

[worn needle]

Just kidding

Lol

[hot snow]

its boring in elementary

[proven leaf]

because schools teach you to memorize formulae and not the true beauty math holds

[alpine sable]

I found it boring way past that. I don't know which kinds of classes you attend...

[hot snow]

it gets way more interesting when you start calculus

[alpine sable]

Ah, we haven't started calculus yet indeed

[proven leaf]

I would argue algebra even

[hot snow]

well I like maths too much according to my friends

[proven leaf]

The fundamental theorem of algebra is unbelieveable elegant once you understand why it works

the proof is awesome

[hot snow]

yeah

[alpine sable]

Pass soap through their mouth they won't say that anymore

[hot snow]

lol

[worn needle]

I took this pic using my galaxy s22 ( 30x zoom)

Very impressing

[hot snow]

wait should you all be discussing stuff like this in here?

isnt this a help thread

[worn needle]

Yeah

[worn needle]

I need help discussing this pic

OwO

[alpine sable]

@worn needle If you're interested in YouTube educaiton, I recommend you start by watching 3b1b's essence of calculus series and, if this content interests you, then it shouldn't be a problem to watch it on your own to help you with your classes

[worn needle]

Thanks

[alpine sable]

It's common for helpers to start discussing in help channels

[worn needle]

I was going to ask

But you answered me before I do

Thanks

[alpine sable]

We still need to be aware that this is a help thread that needs to be opened up at some point but there's some leeway

So no worries

[hot snow]

I see

[worn needle]

This?

[alpine sable]

Yes, this is their channel

Now if you go to "playlists" you should see "essence of calculus"

[worn needle]

Yup

[alpine sable]

Notice you can watch whenever you like, take breaks whenever you like, and go back whenever you like to wherever you like

So take just as much time as you feel like you need

[worn needle]

I have to learn German too

Can I send you a dm @alpine sable ?

[alpine sable]

Go ahead

[robust shoal]

https://www.youtube.com/watch?v=TzDhdvVg9_c
You could watch this video too, maybe as a kind of motivation, it explains the concept/idea of calculus without going into the math itself.

[alpine sable]

Oooo, I love this guy! The chad actually transmitted the intuition of calculus to a bunch of 5th graders in a way that's interesting and easy to digest

[robust shoal]

I do too

[final burrow]

i ned help with year 12 algebra

pls

[lone heart]

@worn needle Has your question been resolved?

[alpine sable]

Please refer to #❓how-to-get-help

[alpine sable]

Ah, I forgot to tell them to close

.close

[lone heart]

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[bleak pine]

$\int\frac{x-1}{\sqrt{-x^2-4x-3}}dx=p(x)\sqrt{-x^2-4x-3}+\lambda\int{\frac{dx}{\sqrt{-x^2-4x-3}}}\
dg(p)=? , p(x)=?,\lambda=?$

[ocean seal]

draganb

[bleak pine]

What are p(x), dg(p)=? and lambda in this expression?

[opal jolt]

i dont see dg(p) anywhere in the expression. Do you have it correctly copied?
p(x) would be a polynomial over the variable x, and lambda would be a parameter (real or complex depending on the set you're working over)

[golden canyon]

I guess you could take the derivative on both sides

dg(p) is probably the degree of p

[opal jolt]

probably

[golden canyon]

no need to

split the fraction on the first integral in to 2, one with numerator x and one with numerator -1

[bleak pine]

I guess then, lambda would be -1 as it comes from the second part?

[golden canyon]

Yes

Now you can cancel that integral on both sides

[bleak pine]

So p(x)*sqrt(-x^2-4x-3) would be some form of a solution to $\int{\frac{x}{\sqrt{-x^2-4x-3}}dx}$ ???

[ocean seal]

draganb
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[golden canyon]

Yes

Have you learnt about u-substitutions?

I just noticed that this is the wrong way around, we had to do the substitution first and then split the fraction

[bleak pine]

??

[golden canyon]

What happens if you try u = -x^2 - 4x - 3 in the original integral on the LHS

What would du be?

[bleak pine]

du = (-2x-4)dx

[golden canyon]

Yes, but since we split the x - 1 in to x and -1, there is no constant multiple of that in the numerator

It would be nice to have (x - 2)dx in the numerator because that would be -1/2 * du

[bleak pine]

So it should be split into x-2 and +1

[golden canyon]

Yes

[bleak pine]

Or should it be (x+2) and -3 ?

As du = -2(x+2) ?

[golden canyon]

Yes, you are right

I messed up

At least my method works, probably

[bleak pine]

Let me just try it quick and see what I get

[bleak pine]

Turns out lambda=-3 , p(x)=1, and dg(p)=0

Thanks for the help

[golden canyon]

You're welcome

[bleak pine]

.close

[lone heart]

Channel closed

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• Be polite and have a nice day!

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[simple saddle]

here in image 1st one denominator is always 365 why so and in second case with replacement approach is used ? what is the reason for this denominator thing

[simple saddle]

why in first case denominator stayed same and in second question denominator is used like without repetetion

this @worn needle

ok

for what

bro internet is fake

the frindship in real life is different than this no matter what

ya if you are introvert especially

ok i want my question to get answered i have not got clarity when i posted this yesterday as well <@&286206848099549185> pls help

[hard island]

In the first case, we wished to find the probability that 6 people do not share a birthday. Each time that we select a birthday, we don't reduce the "total" number of possible birthdays.

In contrast, when we randomize the order of a list, after we've chosen the first element, we have fewer elements we're allowed to choose from (no amount of shuffling a deck will put two aces of spades in there)

[lethal citrus]

If your not here to help, what are you doing here

[simple saddle]

you mean the 1st case had no reset for total number?

[hard island]

Sort of?

One way of thinking about the first one is that, for the first person, we choose from 365 birthdays, of which 365 are okay. For the second, we still have 365 birthdays to choose from, but now we can't overlap, so we multiply by 364/365, the third person 363/365, and so on.

[simple saddle]

oh so how we can recognize to not apply w/o repetetion in that case

can you campare it with second quest as well

[hard island]

Suppose all of our elements are in a bag (inherently randomized), and we take element A out of the bag.

If we "replace" A back into the bag before drafting B, then we keep the same number of choices.

If we don't put A back in the bag before drafting B, then our choices decrease by 1.

Question 1 is a case with replacement, and question 2 is a case without replacement.

[simple saddle]

ok understood

thanks @hard island

[hard island]

Of course. If you have any more questions, you're free to ask.

[simple saddle]

yes just one ig

[simple saddle]

this

what should be the logic and thinking prcess in such question

[hard island]

Ah, so do you recall/have you been taught the definition of "independent events"

[simple saddle]

yes

i did AXB

and got A which iswrong

ans is 0.4

the solution said 1 x 0.4 you should be doing as given means not 0.3 but 1 for A

i don't understand it well

[hard island]

Yep, exactly!

[simple saddle]

A occuring is 0.3 but why 1 then

its written in quest

[hard island]

Ax(not B) is the probability that A occurs and B doesn't occur, which is similar but not quite the same.

If we assume A is already true, then its probability becomes 1.0 (A is "given").

Since A and B are independent, P(not B | A) = P(not B)

(If you haven't seen it yet, P(X | Y) should be read as "the probability of X, given Y")

[simple saddle]

sorry i did 0.3* 0.4

[hard island]

ah I see that, corrected that in my message

[simple saddle]

no i also said AXB previously so it was mistake by me

[hard island]

Ah, no worries

There are dedicated hangout spaces I would encourage you to try to use instead.

[simple saddle]

oh yes i was'nt using this formula or concept yet

i was aware

so does it mean we consider P(a) =1 if they say given A has occured wording

even if they have said 0.3 etc

[hard island]

Yep! If you have dependent events it may affect the probabilities of other events, but you can generally say any given events has P = 1.0

<@&268886789983436800>

Please don't ping roles at random.

[tardy tapir]

who pinged me?

[simple saddle]

yes got it

[tardy tapir]

everyone got pinged

the server crashed for a moment

why did you ping everyone?

[simple saddle]

what help?

[lone heart]

Please read #❓how-to-get-help

[simple saddle]

you are creating nuisance bro

i know german

but not here

[winter light]

Do you know you are in a Math group?

[simple saddle]

bis bald

[winter light]

Ja, besser

[tardy tapir]

<@&268886789983436800> please deal with this.

[winter light]

Well, how old are you if you didn't read the group name??

[tardy tapir]

a 11-12 yr old for sure

[winter light]

If not less lol

[tardy tapir]

@simple saddle is your doubt solved?

[winter light]

How old are you? Are you at least 13 or not?? @worn needle Discord gets in trouble if users are not at least 13 years old

He didn't tag you...

[simple saddle]

ya

[tardy tapir]

dont warn him first lol. he'll lie

[simple saddle]

shall i close

[tardy tapir]

then close the channel

[simple saddle]

.close

[lone heart]

Channel closed

Closed by @simple saddle

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[hybrid reef]

$2^2+2i$

[ocean seal]

bebeli555

[wild trail]

$2^{2+2i}$ ??

[ocean seal]

numbily

[hybrid reef]

Yes! can someone explain how u solve this, the power of means how many times you multiply 2 together, but since the power of is a complex number what will i do? I know how i could solve (2+2i)^2 but not this

Google gives me this answer 0.733827899 + 3.93211096i i dont see how they came up with that

[harsh swallow]

use clever log and power rules

[hybrid reef]

can u give example

[wild trail]

write z as e^{log z}

[harsh swallow]

$A^{B+C} = A^B A^C$

[ocean seal]

Katharine

[hybrid reef]

$(2^2)(2^{2i})$

like that?

[ocean seal]

bebeli555

[harsh swallow]

like that

[wild trail]

now expand the powers

also remember $a^{bc} = {(a^b)}^c$

[ocean seal]

numbily

[hybrid reef]

How do i expand the power of 2^(2i) I can expand the power of 2^2 to 2*2

[wild trail]

use the hint above

[hybrid reef]

$(2^2)^i = 4^i$

[ocean seal]

bebeli555

[wild trail]

yes

what do you have so far?

[hybrid reef]

$4(4^i)$

[ocean seal]

bebeli555

[wild trail]

4 is already in simplest form, for 4^i write it as

$e^{\log 4^i}$

[ocean seal]

numbily

[hybrid reef]

So that will be 1.4172359 + 1.15120215i

[shy dove]

well, you can further work with it

[hybrid reef]

But 4(1.4172359 + 1.15120215i) isn't equal to the 0.733827899 + 3.93211096i google originally gave me

[shy dove]

,w 2^(2+2i)

[ocean seal]

Results provided by WolframAlpha

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[shy dove]

,w 4e^(ln(4^i))

[ocean seal]

Results provided by WolframAlpha

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Upgrade to WolframAlpha Pro!

Requested by imtyp0

[shy dove]

it is :)

[wild trail]

,w e^(i log 4)

[ocean seal]

Results provided by WolframAlpha

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

Requested by numbpy

[hybrid reef]

oh yes nice, so google gave me wrong answer

[wild trail]

maybe you mistyped

[wild trail]

in any case this is the answer

[shy dove]

do you see how to go from there?

[hybrid reef]

I thought it was e^(log(4^i)) where does the ln come from? And why in wolfram the ln turns into log

[shy dove]

ln and log can sometimes be two words that represent the same thing

[hybrid reef]

oh yeah so ln is log_e

[wild trail]

usually in maths by default the log base is e, outside maths people instead use ln

[hybrid reef]

thanks guys

.close

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[proper chasm]

Hello

Solve bye factorization

@vale wigeon

[long axle]

Guey

Channel is closed

U oughta get a new one

[proper chasm]

Oh ok

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[fringe sequoia]

Hello can somebody help me with this question? I'm fairly new to physics and I'm only advanced studying so a simple explanation would help.

[median oar]

Recognise that energy is conserved

And that its potential energy got converted into kinetic energy

[fringe sequoia]

Correct me if I'm wrong, if potential energy is at its highest does it mean that kinetic energy is at its lowest? I just read it just now

[median oar]

What do you mean by at its highest

[fringe sequoia]

I dont know like at rest

[median oar]

Kinda yes

When an object is not moving (at rest), all of its energy is potential

[fringe sequoia]

I see I see

[median oar]

So here the idea is you want to find the change in potential energy over that height difference

And observed that this amount of potential energy became kinetic

Then convert this kinetic energy into a meaningful measurement in the velocity of the cart

[fringe sequoia]

I'm sorry do I use the kinetic energy formula

I'm really really new

[coral flower]

Yeah just find potential energy at a and b and u know potential energy changes to kinetic

So
Loss in potential = gain in kinetic

[fringe sequoia]

Oh hey

Well I used this formula

v = 2 (-9.80 m/s^2) (20m)

then i got 19.8 m/s

Is that correct?

[coral flower]

Let me solve wait

[fringe sequoia]

Okay thank you

[coral flower]

Im getting v = 28.01 m/s

Can u show ur working?

[fringe sequoia]

Alright wait a min

[coral flower]

No, find potential at points A and B

Change of potential energy of those points is converted to kinetic

Mathematicaly
PE at point A - PE at point B = kinetic energy

[fringe sequoia]

but it showed me this

I'm really confused

[coral flower]

Oh my bad , its 19.8 m/s

I randomly added numbers

[fringe sequoia]

Oh I see

Alrigth thanks for your helpp

.close

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[prime spindle]

factorise m out

its just factorisation

[lone heart]

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[quaint oar]

i want to ask for an opinion, iam still 10grade, my school choose me to join a mathematical modelling comp, but i really dont know how to make a model.

[quaint oar]

the topic is about Evacuation time for a stadium that can hold maximun 100k people

and i need to make a model about the evacuation time

sorry if my english is bad

i have found factor that can influent the time evacuation like, distance to exit, the exit width, evacuation velocity and all

but i still dont have any clue how to make it into model

[fathom grove]

think about how each variable affects the total time ( e.g. linearly, quadratically, exponentially)

[quaint oar]

iam sorry but can you give an example, i dont really understand

is it like, for example the amount of exit in the stadium gonna affect the amount of people that can get out at the same time right, so does that mean it affect the total time linearly??

like how to determine it was linearly or quadratically

[fathom grove]

for example distance from the exit would affect time linearly as an increase in distance would always increase time proportional to that distance

[quaint oar]

ok, then what we gonna do after we got how it affect the time??

[fathom grove]

since we know it’s linear, we can use the form mx + b to model how it affects it

due to not having a constant at the moment, we can just leave it as mx + b

[quaint oar]

im sorry but i still doesnt understand the point we do that?

so time = mx + b, then what is the m, x and b gonna be?

[fathom grove]

x will be the average distance each person is from each exit
m would be the speed it takes for each person to travel that distance

i can’t think of a real world equivalent for b, so we can just set it equal to 0

[quaint oar]

hmm, but this mx + b model is still not finish right, so how can i put more variable into the model?

and make it logical ?

oh and do you need the paper about the question? so you can understand more of the question yk

[fathom grove]

that would help, yes

[quaint oar]

wait a sec

[fathom grove]

np

[quaint oar]

the english one should be on the second page

i once try to make the model, i make it like the flow rate formula

so time = volume of human / flow rate, but idk how to find the flow rate

[fathom grove]

flow rate is going to be dependent on what we want the time to be

since we will have to solve for t = 5, 10, and 15

[quaint oar]

yea

[fathom grove]

and we know total capacity is 100,000

[quaint oar]

my problem is that, i cant make the formula for the flow rate

[fathom grove]

first identify all the variables that could affect time

then think about how changing one variable at a time would affect the total time

then add all those expressions together for your total model

[quaint oar]

if the variable are like distance, should we just add it up to the time or we change the expression

Here the variable that i find :

• Width of exit
• Distance from the seat to exit
• the velocity of the people
• density??
• if we talking about stadium, usually we gonna use stair right, so the slope?

and in the paper it was said that the people were divided into group and channel right, so i think that would do something

ooo, and it was said that i need to explain the evacuation method that i use, so i need to chose the method first?? or make the model first is alr?

sorry to trouble you

[fathom grove]

that would be a good place to start but you would need to find a way to represent it mathematically

[quaint oar]

welp atleast now i know where to start, ty for answering all my question, i think thats all that i wanna ask

.close

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[tribal valve]

I have a bunch of scramlbed thoughts about this but I can't piece them together

First I rewrote $a_n = a_{n - 1}^2 + a_{n - 1}$ into $a_n = a_{n - 1} (a_{n - 1} + 1).$

[ocean seal]

dabbingpotato

[tribal valve]

Then divided both sides by $a_{n-1}$

[ocean seal]

dabbingpotato

[tribal valve]

$\frac{a_n}{a_{n-1}} = $a_{n-1} + 1$

[ocean seal]

dabbingpotato
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[lone heart]

@tribal valve Has your question been resolved?

[tribal valve]

<@&286206848099549185>

[undone tulip]

..

[tribal valve]

Idk where to go next

I guess you could make it

$\frac{a_{n+1}}{a_{n}} = $a_{n} + 1$

[ocean seal]

dabbingpotato
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[tribal valve]

And then

[undone tulip]

Ooh, I like this one

This gives me more intelligence.

[tribal valve]

$\frac{a_{n}}{a_{n+1}} = \frac{1}{a_n + 1}$

What

[ocean seal]

dabbingpotato

[tribal valve]

there

[undone tulip]

....

Aah, I see

[tribal valve]

What am I missing?

[undone tulip]

Make sure you find out the solution to see if it's correct, if not try it over, but in other terms, replace or rethink where you place the variable to find the answer to the question that youn are trying to solve. And don't get mixed up with the number 1 on top, trust me, I used to. In other words, you might not be missing anything.

[tribal valve]

I genuinely have no clue where to go from here

[undone tulip]

If you are still having trouble, try reversing the variables, which means to generate a different simplistic answer.

Or

[tribal valve]

Reversing how?

Possibly by replacing $a_{n+1}$ with $a_{n}(a_{n} +1)$?

[ocean seal]

dabbingpotato

[undone tulip]

Yeah, that could work, theoretically.

Bots communication, plentiful enough.

[tribal valve]

What

[undone tulip]

Talking about the bot.

[tribal valve]

It doesn't work though

[undone tulip]

I know 🙂

[tribal valve]

?

[undone tulip]

Anyways

Dabbing potato?

[tribal valve]

Yeah

?

.close

[lone heart]

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[alpine sable]

The following confuses me:

[alpine sable]

[] is an interval right?

[mortal trellis]

yes

[alpine sable]

because there are so many numbers not in that set

like for instance 0.1, 0.2

so how would I experess my answer?

[mortal trellis]

what type of intervals do you know

[alpine sable]

In class they defined an interval as a number line

so I guess it includes real numbers.

[vale wigeon]

do you actually have the definition of an interval written down in your notes

[alpine sable]

Yes

[vale wigeon]

show what you've got there

[alpine sable]

{x in R | a < x < b} is (a, b)

[vale wigeon]

that's it?

also you typo'd "is"

[alpine sable]

Yes thats all.

[vale wigeon]

so you don't have the defn of [a,b] handy?

[alpine sable]

I guess not.

[vale wigeon]

for shame

[a, b] = {x ∈ R | a ≤ x ≤ b}

[alpine sable]

Okay, not quite what I wrote.

so it would be any value in the interval [-2, 3] but not -2 and 3 right?

[solemn mason]

do u need help?

Whats the question again

[alpine sable]

Yes

[solemn mason]

Ahh i see

What year is this

Cupcakeflower

Is it true?

Is it 11t

[vale wigeon]

yes

in fact if you have a visual then it should be clear that that's just (-2,3)

(-2,3) and [-2,3] differ precisely in whether they include their endpoints

[solemn mason]

U sound smart ann

How do u get yourself to study

[vale wigeon]

(-2,3) does not while [-2,3] does

[vale wigeon]

lmao

i do not have any kind of study routine sorry

i am dogshit at time management

[solemn mason]

😭

[alpine sable]

Oh I feel so stupid.

[solemn mason]

Yea how are u so good witj it

[alpine sable]

Okay, I think I understamd

but I have a question about the set

that only contains 2 values correct?

[lilac dome]

yes, -2 and 3

[alpine sable]

okay, that makes sense.

thank you!

.close

[lone heart]

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[limpid aurora]

🔥

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[onyx hare]

I am stuck not knowing how to solve these types of statistics questions. It’s homework also. I’ve submitted it 3 separate times and got 3 separate variants wrong aswell

[lone heart]

@onyx hare Has your question been resolved?

[onyx hare]

<@&286206848099549185>

[lone heart]

@onyx hare Has your question been resolved?

[lone heart]

@onyx hare Has your question been resolved?

[lone heart]

@onyx hare Has your question been resolved?

Show your work, and if possible, explain where you are stuck.

[winter current]

Hey guys I have no idea how to do this

[slim spire]

@winter current This is not maths and you didn't show your work

[chilly idol]

#❓how-to-get-help open up a help channel

[lone heart]

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[prisma bobcat]

How would you start to find the diagonal

[sour verge]

Parallelograms have parallel sides equal to eachother

[prisma bobcat]

This is my working out so far

[sour verge]

Also the four internal angles should add up to 360

So that should give you the other angle

[prisma bobcat]

Ok

And then I just do cosine rule with the new angle

Aight Ty

.close

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[rigid urchin]

This is probably a very easy geometry problem from 10th grade but for some reason I am struggling to solve this when a friend showed me the question.

Angle BAE = Angle DAC = 90 degrees. AB = AE and AD = AC. Line AF passes through line BC at point G and is perpendicular to line DE at point F. If AG = 11 and GF = 10, what is the area of triangle ABC?

[rigid urchin]

I appreciate anyone trying to solve this for me 😭

I figured out that triangle ABE is a right isosceles triangle same as triangle ACD in which Angles ABE, AEB, ADC, ACD are 45 degrees each.

I would appreciate it if someone could guide me through this question.

I made up a point H where imaginary lines BE and CD cross to make ABHC and tried to solve for angle BAC with the 360 degrees rule but no luck.

[rigid urchin]

This is the only step I got to...

I've been staring at this question for a few hours now.

I tried the angle tricks and substituting variables for them like exterior angles, opposite angles, and angles on a line add up to 180, but also no luck.

[drifting seal]

I will help u

try*

[rigid urchin]

Tysm.

[drifting seal]

This is a freaking werid shape

ig this question needs lots of time to think

would u mind me if I dm u?

[rigid urchin]

Nope I wouldn't mind.

We can even call if you want to.

Or just dm.

:)

[drifting seal]

oi

[rigid urchin]

I already dmed u

[lone heart]

@rigid urchin Has your question been resolved?

[rigid urchin]

<@&286206848099549185>

[willow flume]

why did i get pinged

wth

[rigid urchin]

To assist me with this question...

I'm sorry you got pinged.

[willow flume]

oh

what about?

if it's within my knowldege i'd be happy to help

@rigid urchin

[rigid urchin]

The question is up there^

[rigid urchin]

@willow flume

[willow flume]

uhhh yeah i can't do that

i'm in 8th grade but i do hs math

but i have no idea

what that is

sorry

[rigid urchin]

Ok thanks for trying though.

Need help 😓

[drifting seal]

small chance u can get help

cuz first the question is complicated

need much time to do

[lone heart]

@rigid urchin Has your question been resolved?

[rigid urchin]

Anybody willing to lend his/her brain to help my problem 😭

[drifting seal]

sad

[lusty token]

That's just pain

[rigid urchin]

I'm curious how long this post can stay up for.

[lusty token]

This doesn't seem very easy at all lol

[untold carbon]

I got it with some trigonometry

Try to use sine area formula in ABG and ACG

[lusty token]

i managed to make it into a parallelogram 💀

[lusty token]

how r u getting angles lmao

[untold carbon]

U dont need the angle explicitely

You just need the value of the trig function

[tame beacon]

What, you'd still have like 2 unknown variables though

I still have 4

[drifting seal]

lol finally someone on it

I was trying to draw some line

[tame beacon]

I don't think this questions possible or complete

[drifting seal]

it's possible

With coordinate

construct coordinate

But it's too diffcult

[tame beacon]

Huh, but we don't know the lengths of DA or AC or any angles

[drifting seal]

This question appears in secondary 2

so it will be ez ig???

lol

[tame beacon]

Lemme share my findings, I tried what @untold carbon suggested

[untold carbon]

it is

[untold carbon]

the unknowns cancel nicely

[tame beacon]

AD intersection with BC I labeled x, AE intersection with BC labeled y. And angle a as shown:
Area ABC = (BAxsin(a)+xycos(a)+yACsin(a))/2

[untold carbon]

that doesn't seem like the right way to go

i feel like it is really important to use the fact that we know AG

and if we're looking for area, one good way is to do as I suggested above
(not trying to say my method is the only one that works)

[tame beacon]

Alright, gotcha

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@rigid urchin Has your question been resolved?

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[opaque heart]

what are the "extrema" for this equation?

[opaque heart]

I understand they relate to the maximum and minimum of an equation but I don't think the "extrema" here are (-1.91, -15.175) and (infinity, infinity)?

[alpine sable]

Hey there I need help understanding a statistics question, <@&286206848099549185>

[lone heart]

@opaque heart Has your question been resolved?

[jagged jewel]

@untold carbon@tame beacon@drifting seal@lusty token@willow flumesol in case you want a follow up

def not a 10th grade level problem

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[toxic carbon]

I tried to solve this and i got the answer but in the book the solution is positive but i got negative

[toxic carbon]

Mm got my answer actually there was a printing mistake in the question

@coral flower anyways thanx

[coral flower]

no my solution was wrong i forgot we had arc cos , its only possible if the + sign was - in the question

[toxic carbon]

@coral flower but you tried to solve it for me

[coral flower]

not really i just looked at it

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[warm current]

I'm not v sure how to do qn 2

[warm current]

<@&286206848099549185>

[lone heart]

@warm current Has your question been resolved?

[warm current]

<@&286206848099549185>

[warm current]

<@&286206848099549185>

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@warm current Has your question been resolved?

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[mental crag]

anyone now how Evaluate Function
d(-2) = 3(x)^-2 + 5 (x) + 4?

pretty confuse again cause the AI's give me different answers

[vale wigeon]

the AI's???

did you come to chatGPT with that??

[alpine sable]

\dm
are you sure you wrote that correctly? Your notation implies that you are evaluating the function $\map d x$ at $x=-2$

[mental crag]

heck yea im trying to advance study before our school strat though so i dont know anything..

[vale wigeon]

NEVER USE CHATGPT, OR OTHER AI, FOR MATHEMATICS.

IT WILL HALLUCINATE THINGS THAT ARE WRONG BUT SOUND RIGHT IF YOU DON'T KNOW BETTER.

[mental crag]

my bad..

[vale wigeon]

now ok

[cinder sundial]

i can't even understand the question, does it asks for the x

[vale wigeon]

i think you've written this poorly

@mental crag do you have a picture of the book you got this question from?

[alpine sable]

At least, don't use AI if you cannot ascertain whether its answer is correct or not

[vale wigeon]

if you CAN you don't need AI at all lol

[alpine sable]

anyways, refer back to this

[alpine sable]

That's misleading I'd say. There are way too many variations of what questions you might ask it

[mental crag]

nope but i got this

[vale wigeon]

AI is not for math period

[opal jolt]

which is ironic, since AI is the culmination of math

[alpine sable]

what you wrote up there doesn't match what you have written on here

[mental crag]

oh its how i did it, but the question is from a advance lesson i studied

[alpine sable]

\dm
[
\map f{-2} = 2(-2)^2 + 2(-2)+1
]
is not the same as writing [
\map f{-2} = 2x^2 + 2x+1
]
which is my point

[mental crag]

yeah more like that

you put -2 at the X

[alpine sable]

and also your original question doesn't even have the same function?? Can we please decide on what we are working with exactly?

[alpine sable]

do you want help with what you have here

[alpine sable]

or this

[mental crag]

this i want to know the exact solution and answer

d(-2) = 3(-2)^-2 + 5 (-2) + 4

because it turns out becoming a fraction after i solve [ 3(-2)^-2 ]

[golden garden]

3(-2)^-2 + 5(-2) + 4 = 6

[golden garden]

ye, it probably thinks you're doing -(2 ^ (-2))

[vale wigeon]

Can we please decide on what we are working with exactly?
@alpine sable you underestimate the unwillingness and/or inability of some helpees to cooperate

[golden garden]

That's why AI is not good for maths at all. If you want something to do maths then make your own calculator with a coding language to calculate the answer properly

I'd suggest Python. I'm currently making my own calculator for myself and Python is very useful for it

[runic hull]

I mean wolframalpha is great for checking computations

[vale wigeon]

yeah but WA is specifically designed for math

it's not like chatGPT whose purpose is to generate text

[runic hull]

exactly, that's my point. there are better options

[vale wigeon]

chatGPT is at its core a text generator and a "what's the next word" guesser

in math that simply will not do

even when chatGPT does math it DOES NOT UNDERSTAND in any sense of the word that it's doing

[mental crag]

uh i guess, i should never add the word " AI " again in question..
i can't get my answer but i thinks its fine
i'll try my best solving this

and btw how can i end this "help channel"

oh nvm thanks for the advise then

.close

[lone heart]

Channel closed

Closed by @mental crag

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[somber spoke]

what are u confused aby

[rapid gate]

why do they do -1/-1 for grad??
bc when x=1
u get
3(1)^2-4(1)=-1
so its just -1
why do they div -1?

[somber spoke]

because to get the gradient of a perpendicular line

u do the negative reciprocal

[rapid gate]

OH

is it always

/-1

@somber spoke reckon you could give meq a question similar to this?

[somber spoke]

no

[rapid gate]

o??

[somber spoke]

if u have a line

[rapid gate]

oh wait

its always

-1/x

not x/-1

[somber spoke]

if x is the gradient in this example then yes

[rapid gate]

uh could you?

[somber spoke]

whats a meq

oh nvm

[rapid gate]

me a question

[somber spoke]

im silly

lol

[rapid gate]

xD

[somber spoke]

idk like

y = 3x^4 +2x^2 +x + 7

find the normal to the curve at x = 2

[rapid gate]

oo

ok

bruh

o

k

while i do this one

can you give me one

that actually

had (x,y) coords

like the one in the Q

[somber spoke]

i gave u x coords

u can figure out y coords from that

[rapid gate]

oo

hm

ok

ok

i did it

@somber spoke

the tangent is

$y=25x+15$

and the normal is

[ocean seal]

LW

[rapid gate]

$y-65=-\frac{1}{25}(x-2)$

[ocean seal]

LW

[somber spoke]

no

but close ig

[rapid gate]

uhh

both are wrong?

dont tell me answer pls

[somber spoke]

d/dx is 12x^3 +4x + 1

plugging in 2 we get

[rapid gate]

i wrote that down

ye

[somber spoke]

96 + 8 + 1

= 105

[rapid gate]

we get 25

uhhh

OHH

OK

XD

[somber spoke]

everything else is correct tho

so ur good

[rapid gate]

i did 2*2^3

which is 16

instead of 12*2^3

i didnt see the 12

XD

ok elmme try again

[somber spoke]

yeah so just replace 25 with 105

and ur correct

[undone tulip]

Hello, everyone doing good right here?

[rapid gate]

wait

where? @somber spoke

[somber spoke]

what

[rapid gate]

it doesnt even align

the tangent eq doesnt align at x=2

[somber spoke]

yeah its perpendicular to it

[rapid gate]

hm?

[somber spoke]

so at a 90 degree angle

thats what a normal is

[rapid gate]

uhh

[somber spoke]

what are u confused abt

[rapid gate]

what a normal

and tangent

is l

ol

[somber spoke]

a tangent touches a graph at a point

a normal is perpendicular to the tangent

[rapid gate]

oo

ic

[rapid gate]

wait

v

i figured that

its y=105x-145

,w d/dx -x

[ocean seal]

Results provided by WolframAlpha

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

Requested by fwgx

[somber spoke]

cool

[rapid gate]

is it recommended

for me to

simplify the normal eq

like how i did w the tangent?

@somber spoke

[somber spoke]

you can do

depends what ur teacher likes u to do ig

[rapid gate]

cheers!

.close

[lone heart]

Channel closed

Closed by @rapid gate

Use .reopen if this was a mistake.

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Remember:
• Ask your math question in a clear, concise manner.
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• After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[trim herald]

Hello,Could anyone help me with question 4)?

[trim herald]

In fact,I am confused about free group and free Abelian group. What's their difference?

[lone heart]

@trim herald Has your question been resolved?

[lone heart]

@trim herald Has your question been resolved?