help-0

[alpine sable]

in your opinion

what is the best way I can get advanced in math

on my own

[placid zinc]

Learn things early. YouTube is a great resource for things like calculus

[alpine sable]

any resources you reccomend?

[placid zinc]

Khan academy is an easy go-to, as everything is there
3b1b has nice visuals and is great at making things intuitive

[wary stream]

Khan Academy

[peak kite]

Somone fricken help me pls

Why ignore me

Pls UwU

Find the depreciated value of a rikshaw after two years  whose present cost is RS.144000 and rate of depreciation is 5/2% p.a.

[alpine sable]

can I learn geometry completely from khan?

[alpine sable]

what is a rickshaw ._.

[placid zinc]

Yep!

[alpine sable]

ooh

that is good

ty

I shall teach myself geometry and alg2 this year so I can take the geometry and alg2 exam

at school

so I can skip geometry and alg 2

and go to pre calc in 10th

[peak kite]

A wire measuring 25cm is shortened to 20cm. The decrease percentage in length is.

Yeyo

Eyyo

Help

Me

@sour dove

[sour dove]

Please don't ping people for help

[peak kite]

Sorry

Also i did the quetsion

Its 20

Right

[sour dove]

but how do you find a percentage?

yes that's correct

(25-20)/25

= 5/25 = 0.2 = 20%

nicely done

[peak kite]

Thanks

Find the depreciated value of a car after two years  whose present cost is RS.144000 and rate of depreciation is 5/2% p.a.

[peak kite]

U can do this?

[sour dove]

again, don't ping

I'm helping someone else

[peak kite]

Sory

Ols jelp

Hrlp

Hel0

Hrlp

Help

[wary stream]

Stop begging for help

[sour dove]

@peak kite seriously, it drives people away from wanting to actually help

[serene lily]

hi i need help for sequences

i find it very confusing

[sour dove]

so what's the summation up to n for 5n^2 + 6n?

[peak kite]

Lmk when u can help

Find the depreciated value of a rikshaw after two years  whose present cost is RS.144000 and rate of depreciation is 5/2% p.a.

Rikshaw is idk what

[wary stream]

Stop posting this multiple times and begging for help

[wary stream]

Just google this term

[peak kite]

Its a cra type thing

Car

[serene lily]

none is said about the summations of n but i think adding any number of terms would still equal to 5n²+6n

[tame sorrel]

Where do I go from here in so lost

[sour dove]

Have you gone through summations in your studies?

otherwise, I would just add them manually

[peak kite]

Ryna purchased a dress which is marked at Rs.1250 by paying Rs.850.The discount percentage is.....

[serene lily]

i think this is the summation but im not sure

[sour dove]

do [5(3)^2 + 6(3)] + ... + [5(5)^2 + 6(5)]

yep perfect!

so summations have special formulas that make your math easier

do you know what they are?

[serene lily]

doing this, i get 322 as the answer

[serene lily]

we still dont have in depth discussions about them

[sour dove]

okay then manually adding is what to do

5(3)^2 + 6(3)+ 5(4)^2 + 6(4) + 5(5)^2 + 6(5)
45 + 18 + 80 +24 + 125 + 30
322, which is what you got!

so nicely done!

[serene lily]

thanks a lot!

[sour dove]

yep no worries!

[limpid flicker]

guys

please help with this one i didnt take the quiz today and everyone said this question was hard

ax^2+bx+c=y

we learning quadratic equations rn but i dont even know how to start this one

[wary stream]

That is academy dishonesty, I think, if we help you with a quiz question so you can achive a good grade

[ocean seal]

marc

marc

marc

[sour dove]

@zinc cosmos yes that's correct. However, since we have i, you can use euler's formula

be careful, with exponents, it'll just be 2i, not i^2

[ebon wedge]

65° + 1/2
130 + 1 / 2
how does it comes

Plz help

[wary stream]

Is that supposed to be (130 + 1)/2? @ebon wedge

[ocean seal]

marc

[round seal]

Eh, does anyone know quadratic function?

[devout summit]

It can't be 0.

[wary stream]

I suggest look up videos

[sour dove]

unfortunately I'm not too good on euler's identity (haven't had to use it yet in my undergrad)

[devout summit]

So then theta is some multiple of 2pi including 0

General form theta=2pi*n for any integer n

[ebon wedge]

Why 65° + 1 upon 2 become 130° + 1 upon 2 just tell me plz

[wary stream]

Can you read what I asked?

[wary stream]

Is it (130 + 1)/2?

[ebon wedge]

No

[ebon wedge]

No

[wary stream]

Stop ping replying

[ebon wedge]

Ok sorry

[wary stream]

Post a screenshot or picture of the answer

[ebon wedge]

Ok wait

See

[wary stream]

So I was right

I asked if it was (130 + 1)/2

And you said no

[ebon wedge]

Ah sorry

Bro

[wary stream]

Common denominator

[ocean seal]

marc

[ebon wedge]

But my question is 65 + 1/ 2
How it's become 130 + 1 / 2

[wary stream]

Depends, you have two unknowns

[wary stream]

Do you know how to add fractions and finding a common denominator

[ebon wedge]

No I am week in maths

Sorry for ping

[pseudo hearth]

yo

hecker my guy

[wary stream]

https://www.khanacademy.org/math/cc-fifth-grade-math/imp-fractions-3/imp-adding-and-subtracting-fractions-with-unlike-denominators/v/adding-small-fractions-with-unlike-denominators

It's literally that

[ebon wedge]

Thanks can you teach me maths plz I am week in that

[wary stream]

No, just watch khan academy

[ebon wedge]

Ok

[wary stream]

Also you are weak in English too

[ebon wedge]

How

[wary stream]

Because weak is the proper spelling

[ebon wedge]

Oh auto correct

[wary stream]

Week is the concept that consists of 7 days

Not an excuse

[ebon wedge]

Auto correct problem

[sour dove]

How so? 😦

[ebon wedge]

How do you find answer of any questions @wary stream

[wary stream]

Meaning?

What are you trying to ask?

[sour dove]

oh I see, it's in the favor of the server lol

honestly, when I first got here I thought the helpers were kind of abrasive

[ebon wedge]

Menas how do you find answer of any maths questions or equations

[sour dove]

but man, having to ask people to do the work with me is hard

[wary stream]

It's honestly because people are just lazy

[sour dove]

I've had a ton of "please do it for me"

[wary stream]

Not enough info

[ebon wedge]

Ok

How to be intelligent in maths can any body tell

[wary stream]

What marc said, practice

[ebon wedge]

Means I want to go in engineering field and I want to become professional in maths

[wary stream]

Literally, practice

[ebon wedge]

Yes

[wary stream]

Engineers have tools to use, like a calculator

[ebon wedge]

How can I

No its interesting subject

I like it

Ok

[wary stream]

Using resources helps too

[sour dove]

@ebon wedge honestly I restarted with prealgebra in college and I'm almost done with my degree now. Anyone can learn math, but it really honestly truly is just practice. Find worksheets to work on, if you stumble on a question, try to solve it yourself then ask when you get stuck

etc

[ebon wedge]

I am in 11 th Standard

But why you don't like software engineer

[sour dove]

hah, same! I'm a double major. I love math more, but computer science helps use my math practically

[ebon wedge]

I am 11th class students and I want to become software engineer can you give me some knowledge about it

[alpine sable]

Did you know 1 plus 1 is equal 3

[ebon wedge]

😑

[sour dove]

I started with python, which I recommend. It's a gentle programming language.
Here's a place to start, it's a free book (and the author has youtube videos to follow as well)

https://automatetheboringstuff.com/

[ebon wedge]

From which age have you started python learning

[sour dove]

26. I'm 30 now

[wary stream]

You should continue off topic discussion in #chill or #discussion to free up this help channel

[ebon wedge]

I am 16 and I want to learn coding languages like python, c++, java script , Html but I didn't have laptop

Ok

[alpine sable]

Download pydroid3 on android

For python

Also join "the programmers hangout"

[abstract pelican]

is -2axy^-5 = -2xay^5?

swapped a and x

Have you tried power rule?

nu^n-1

where n = exponent and u = variable

[paper holly]

oh no but that won’t work here would it?

because the power is x too

[abstract pelican]

how bout logarithmic differentiation?

[restive cypress]

the y exponent looks different here but I'm assuming that's a typo

[abstract pelican]

should be -2xa/y^5

But the book answered -2axy^-5. So I raised y^5 above

[restive cypress]

Oh I see

If it's in the denominator you'll need to use negative

and whether you use xa or ax doesnt change the result

so it's the same

[restive cypress]

This is equal to what the textbook says

[abstract pelican]

Okie. Thanks

[restive cypress]

np :d

[paper holly]

how do i take the derivative of this?

[rain path]

What's better, to be fast in math or be slow but very good

[normal verge]

9 or 1?

[zealous adder]

So this is 6×6+6 but why is it + 6 instead of ×6

[restive cypress]

Do you know the rule of sum in counting ?

[zealous adder]

Yeah but where does that come in

Oh it's m+n ways

[restive cypress]

yep

roll once + roll twice

[zealous adder]

Thank u

Also for this one

4

It's not 120 ignore that

Do I do the or thing

Or the pair thing

But there's only 5 so that can't be it

[sudden notch]

guys

Is it okay if I send my assignment here?

i really dont know how to do it

[devout summit]

120-(all combinations where 2 and 4 are together)

[zealous adder]

Why

[restive cypress]

yeah

Is it 72?

[zealous adder]

It's 72

Yes

[restive cypress]

okay so you do 120 - because that's taking the complement

[zealous adder]

Wym

[restive cypress]

If you subtract the ways 2 and 4 are together from the amount of all possible permutations you'll get back the number of ways they are not together

[zealous adder]

Oh

[restive cypress]

You can think of it in terms of a venn diagram

Inside a box there is a circle

[zealous adder]

So I do n(A) = n(s) - n(A)

[restive cypress]

The entire box is all possibilities

And the circle is some specific type of possibility

And any point outside the circle is when that specific possibility doesnt happen

[alpine sable]

Can anyone tell me the equation of "The circumference (C) of a circle varies directly as the diameter (d).?"

[restive cypress]

the general rule is n(A^c) = n(S) - n(A)

Where the c means complement

Isolate for n(A)

[zealous adder]

Oh I don't have that equation

[restive cypress]

did they tell you about complements ?

[zealous adder]

Yeah I heard of that but I don't remember that equation

[restive cypress]

Whoops I mistyped

Check again

[zealous adder]

Nop

[restive cypress]

n(S) is all possible outcomes

[zealous adder]

I have n(A) + n(B) -n (A and B)

But that's the closest to that

[restive cypress]

that's not quite it

[zealous adder]

Or just N(A) = n(s) - n(A)

Which isn't that either

[restive cypress]

why are there two n(A)?

[zealous adder]

No clue

[restive cypress]

It should be A complement on the left

because when you subtract the ways something happens from the possible outcomes you get back the number of ways that it doesn't happen

[devout summit]

You mean n(A)=n(S)-n(A')?

[zealous adder]

Oh yeah my handwriting is just sloppy

[restive cypress]

Sure you can rearrange the equation

[zealous adder]

Looks like a dot

[restive cypress]

yes

You can rearrange that depending on what's convenient

So its convenient to find out the number of ways that even numbers are together

That's why we subtracted it

[zealous adder]

I still don't get where 120 came from

[devout summit]

5!

[restive cypress]

What are the total number of ways to permute 5 numbers ?1

Its 54321=5!

[zealous adder]

Yes

[restive cypress]

Discord formatting lol

[zealous adder]

Oh lfmaooo

Bruh

Now I understand

[restive cypress]

yeah so that's where 120 comes from

gr8

[zealous adder]

Ok this makes total sense now I'm an idjit

Cooclocool

Thank U :))))

[compact lynx]

is there anyway to solve this sum nicely

or do u just

evaluate each term from 0 to 19

im guessing there isn't >.>

[magic jacinth]

https://tenor.com/view/dies-cringe-math-dies-from-math-death-gif-22822700

[tight locust]

factor out p^5

[compact lynx]

ah yea

other than that i'm guessing there's nothing else to be done other than

evaluate 20 terms?

[tight locust]

not quite. this actually works out very nicely

look at pascal's triangle

(x+4, x) forms a diagonal pattern

try finding an explicit formula for it

[compact lynx]

okay but there's still the last term which has no real way to be simplified

[tight locust]

are you given any constraints on p

[compact lynx]

p is the probability of an event (that we know can occur) occuring so

0 < p <= 1

[alpine sable]

Did I do it correct?

10 cm = b

The area (A) of a parallelogram, whose base (b) is 10 cm, varies directly as it's altitude (a) and the base?

[ashen anchor]

binomial probabilities be like

ill take a stab at this and let you know if I find anything

[compact lynx]

ah i found something on piazza where the instructors were just like

"nah u gotta use R or manually calculate"

so i guess it's not possible

😔

[ashen anchor]

real coding hours

[tight locust]

there's no guarantee this is even a real number lmao

[placid zinc]

We typically approximate these sums using the normal distribution

[tight locust]

the expansion has terms of (-1)^p

[placid zinc]

There's an oddity. I'm seeing x + 4 trials, or x + 5 trials

[compact lynx]

do u mean in the

p^5 and the x+4

the 5 and the x+4

[placid zinc]

Well, maybe I'm not sure what the original problem is.

[brisk sentinel]

How would I start this problem

[cold grail]

Draw a simple visual

What do you see?

[brisk sentinel]

let me send a pic

my camera is cursed

[cold grail]

It’s okay, there should be a downward arc on the graph

Does not have to be accurate, but a rocket goes on that path of a downward arc

[brisk sentinel]

like that?

[cold grail]

No, I don’t have paper or other stuff right now, the height or h(t) when the rocket lunches is 0 at sea level

What is the height or h(t) when the rocket splashes?

[brisk sentinel]

sea level would just be 0 wouldnt it?

[cold grail]

Yes

So at t = 0 seconds we get height = 0, and after some time t height = 0 again

What is the second t

[brisk sentinel]

but how would i figure out how many sec until the rocket splashes down?

[cold grail]

Find the x intercepts of h(t)

By factoring

[brisk sentinel]

so i would need to split 52x up into 2 numbers right

[cold grail]

Let’s ask ourselves what would that do, we are trying to get the form h(t) = (t+a) (t+b)

[brisk sentinel]

dont I need to split 52t into 2 numbers and then take out x

[cold grail]

Are you allowed a graphing calculator?

[brisk sentinel]

sorry t

yea

[cold grail]

Okay graph and trace, because this does not factor out nicely, or use the quadratic formula to get the factor and the other t.

And you are right about the last drawing and I was wrong. Did not read correctly!

[brisk sentinel]

Thank you, that was a lot easier!!

[ashen anchor]

part 1 seems to be a factoring problem

part 2 is also just factoring

[night sigil]

do I have to sub tract the the area on the right from the area on the left?

or add them

[hearty cliff]

add

add the absolute values*

[ashen anchor]

it's convention that the integral quantity under the x-axis should be considered negative.

I'd go with the unsigned area (which means to add the absolute values) unless signed was specifically asked for.

[red citrus]

Could someone please help me solve for x with steps, thanks

[night sigil]

I think this is the correct method for my question above?

sorry for bad camera but can someone confirm I did it right?

[unreal geyser]

what is 2+2

[ashen anchor]

seems good to me

[wild marten]

d/dx(4x)

$\dfrac{d^2}{dx^2} (2x^2)$

[ocean seal]

Om3ga

[wild marten]

answer for 2+2

[glass hare]

I have this graphed on desmos, it's an equation of a line thats tangent to another function. Is there any other way to simplify this or can i just write it like this?

[alpine sable]

Can I put here some math questions and problems I have?

Alright then

You have a piece of paper and you fold in half, you will have 1 crease.

After you fold it 2 times and unfold it completely you will have 3 creases.
After you fold it 3 times and unfold it completly you will have 7 creases.
But after you fold it 4 times and unfold it completly you will have 15 creases.

My conjecture is that for folding the paper in half n times you will have 2 * ( number of creases from halving n-1 times ) + 1 creases.

Show that this is true or false.

Have fun 🙂

[alpine sable]

Well, the 0.6691306064 number in the second sin^-1 is really close to sin(42). Maybe you can transform the 0.5 into a sin(30) as well.

[red citrus]

sorry, but may I know how to make use of that information? I am pretty new to trigonometry 😦

[alpine sable]

I don't know as well, just pointing out something. I have no idea how to continue from here.

Do you know the formula for sin of a sum of two angles?

sin(a+b) = sin(a) * cos(b) + cos(a) * sin(b)

Maybe you can take the sin on both sides

Use this formula and maybe some simplification will happen

[red citrus]

thank you,i will try my best to solve this problem

[ashen anchor]

I can at least show to you that there are no real solutions of x since those two graphs never touch

[alpine sable]

Also, look at the 68.71... number, maybe it's related in some way. Extract or find as much information as you can.

[alpine sable]

...

Looks like the problems is a problem to show that there are no solutions instead of find the solution

[ashen anchor]

sorry haha I'm an engineer :^) I don't do real math

[alpine sable]

[ashen anchor]

I have a hunch this person is working in degrees rather than radians

is this true @red citrus

converting the RHS to a radian angle, the graphs just BARELY miss each other

but it seems that you are close to an interesting solution of the set of all maximum points

[jagged imp]

C[0,1] is the set of continuous functions on [0,1]

(the set of all continuous functions from [0,1] to R)

[sour nova]

can anyone help me simplify this?

[alpine sable]

The 3+sqrt(5) is the same as sqrt((3+sqrt(5))^2)

Multiply that with the sqrt(3-sqrt(5))

[alpine sable]

Oh ok...

[ashen anchor]

we're on the same wavelength

[red citrus]

yes it is in degrees

[alpine sable]

am I able to ask basic questions

[alpine sable]

Yes

This is my first time here as well, go for it

I need help
tan80 + tan190 / tan260 + tan350
tan10 = x
result?
and why

Idk

the

options are
1+ x ^2 / 1 - x^2

like that

so you can solve it?

[ashen anchor]

might be right, I forgot my geometry

[alpine sable]

27 degress

[alpine sable]

BRO

How are you so fast

[ashen anchor]

coffee

we are on the same wavelength once again

[alpine sable]

now you help me

[ashen anchor]

to be quite honest, I do not understand what you are asking

[alpine sable]

Me too

ok I'll take a pic

[ashen anchor]

maybe some more context? @alpine sable

[alpine sable]

ahhhh, the first to solve this one will be the winner

[ashen anchor]

you can probably do it, its 6am here :')

[alpine sable]

oh

;-;

[ashen anchor]

if I do solve it, youll see my image pop up haha but no guarantees

[alpine sable]

By the way guys, can you help me with this problem of mine?

yeah?

[ashen anchor]

I'll think about it during the day :v

[devout summit]

tan(80)=tan(90-10)=1/tan(10)=1/x, tan(190)=tan(180+10)=tan(10)=x, tan(260)=tan(180+80)=tan(80)=1/x, tan(350)=tan(360-10)=-tan(10)=-x. Substitute these back in the expression.

[magic jacinth]

https://tenor.com/view/dies-cringe-math-dies-from-math-death-gif-22822700

[alpine sable]

cos10 = 1/tan10
Correct?

[devout summit]

cos is a different function

cot(10)=1/tan(10)

[alpine sable]

got it thanks

5/(x+3) + 8/(x+6) = 80/((x+3) (x+6))
i need help

[devout summit]

Solving for x?

[alpine sable]

like it feels like i can just get rid of the entire bottom but i know i cant so im not sure ecatly what to do

[alpine sable]

yes

[devout summit]

Multiply (x+3)(x+6) on both sides of equation

[alpine sable]

doesnt it cancel out the entire bottom?

im left with only normal numbers

[ashen anchor]

the LHS will remain with x's :) try it out!

[alpine sable]

whats LHS

[ashen anchor]

left hand side

[alpine sable]

ok

i dont think i understand

how to multiply

[devout summit]

Multiplying 5/(x+3) with (x+3)(x+6) gets us 5(x+6)

[ashen anchor]

just incase you didnt get it from @devout summit

[alpine sable]

oh so i multiply 5/(x+3) with x+3 and x+6 so i get 5 * x+6

[ashen anchor]

correct! that's exactly what euclid meant here

[alpine sable]

but the 80 on the left confused me

am i just left with normal 80?

[ashen anchor]

correct :)

[alpine sable]

k

thanks

[ashen anchor]

so you have x's on the LHS and a regular number of the RHS

[alpine sable]

yes

thank u

[wind hare]

can someone help me with this

[alpine sable]

wait will it be 5(x+6)? or 5 * x + 6

[ashen anchor]

first one 5(x+6)

[alpine sable]

thank

A = 2 - 4sinx
B = 3 + cosx

A(highest) . B(lowest)

Help

[ashen anchor]

hopefully i didnt make a mistake

[vital oak]

Bs server

So bad server

Everyone is bullshit

@here bullshit

[ashen anchor]

[marble saffron]

How do I solve this

[storm lava]

you have 0/0, so simplify numerator and h should cancel out with denominator h

and the thing left is probably calculatable

[alpine sable]

"solve without using a calculator" 25^17 / 125^11 how am i gonna do that without a calculator

[storm lava]

look, in these types of tasks they expect you to turn a number into product of primes

25 is what in terms of primes?

[alpine sable]

wdym by that

i mean its not a prime number if thats what u ask

5 is

[storm lava]

it is not but is is a prime * prime

25 = 5^2

[alpine sable]

so i divid everything by 5 and "simplfy" it?

wait no but its to the power of 17

[storm lava]

no, you rewrite 25 as 5^2 and 125 as 5^3

and then you use the rule (x^a)^b = x^(a*b)

and then x^a / x^b = x^(a-b)

and there will be answer

[alpine sable]

can you write it down here using the bot if u know how? its kind of hard using discord messages

[storm lava]

i don't know how sry

[alpine sable]

oh so its just in brackets ok i think i got it

[opaque agate]

hi thank you

[alpine sable]

i have here ((5^2) ^ 17) / ((5^2) ^ 11) how do i use that rule exactly

(5^2) ^ 17 = 5^(2*17) wait but how does it help

[marble saffron]

@storm lava could you please write it out

[storm lava]

So it is 5^34

Simplify denominator the same way

[storm lava]

Mistaken it is not 0/0, if you substitute 0 instead of h, you would get (⅓-½)/0, which is [1/0] indeterminate, which is simply infinity, and since ⅓ is less than ½, it is -infinity

[marble saffron]

@storm lava I messed up this is the actual problem

[storm lava]

Now if you substitute you get [0/0] indeterminate, what you should do is make the numerator a single fraction, not a sum of 2, make the common denominator etc.

And then you should simply cancel out h above and below

[marble saffron]

Yeah well I tried but

Idk I keep getting stuck

[storm lava]

On what step

[marble saffron]

Well the answer is supposed to be 1/8, however I keep getting the wrong answer

[storm lava]

What have you got after numerator simplification?

[alpine sable]

but how does it help me

i still cant use a calulator

[storm lava]

It seems that it should be -h in the numerator imo

[storm lava]

I told you to simplify the denominator, what did you get

[alpine sable]

ill try

[marble saffron]

-8h +6h^2

Can you just please show me the steps

[storm lava]

So first you get $\frac{2*(-2+h)-(3*(-2+h)+2)}{2*(3*(-2+h)+2)}$

[alpine sable]

5^34 | 5^ 33

fraction

[storm lava]

And what does it equal to

[alpine sable]

i dont want to say 5 ^ 1

is it that

[storm lava]

But it's right

[alpine sable]

yay

thanks

[storm lava]

Np

[ocean seal]

Kai'Sa

[storm lava]

And then it simplifies to $\frac{-4+2h-(-6)-3h-2}{2*(3*(-2+0)+2)}$

[ocean seal]

Kai'Sa

[marble saffron]

@storm lava and what is it you sent me

[storm lava]

Numerator simplified

[marble saffron]

Okay let me see

[alpine sable]

i got an other problem like the last one but a bit diffrent

32^9 * 8^17 | 64^3 * 16^19 (fraction)

i cant really simplify those

[storm lava]

64 is 2^6 and etc.

[alpine sable]

yeah but what about the others

[storm lava]

They are too powers of 2

[alpine sable]

wdym

[storm lava]

16 is what prime multiplied by itself several times

[alpine sable]

16 is 4^2

oops that didnt happen

[storm lava]

4 is not a prime, simplify further

[alpine sable]

2^4?

[storm lava]

Ye

[alpine sable]

so how would it look like gimme a sec

wait but what about 32

i cant think of anything

[storm lava]

Is it an even number?

[alpine sable]

yes

[storm lava]

Divide by 2

[alpine sable]

16

[storm lava]

And 16 is 2^4

So what if 32

[alpine sable]

4^4

?

[storm lava]

No

[alpine sable]

wait no

[marble saffron]

@storm lava and what is the next step the whole thing still gets divided by h right

[alpine sable]

what is it

[storm lava]

So the whole limit would be $\lim{\frac{\frac{-h}{-8}}{h}}$

[alpine sable]

eh?

[storm lava]

2 * 2^4

[ocean seal]

Kai'Sa

[alpine sable]

so is that what i put in the brackets?

[storm lava]

It would be 2^(4+1)

[alpine sable]

wait how i still got that ^ 9

and 8^17

[marble saffron]

@storm lava I'm still confused, how did you get the single h on the top

[storm lava]

from this

and the prev message

[plain osprey]

If AB is an invertible matrix does that mean A and B are both invertible matrices themselves?

[alpine sable]

so i did the steps and i got

(22^4)^9 * (22^2)^17 | (8^2)^3 * (4^2)^19 what do i do now

[storm lava]

you firstly need to express 8 as $2^{k}$

[alpine sable]

what

is that for me or the other guy'

[storm lava]

for you

i am just trying to do fancy writing

[alpine sable]

oh

[ocean seal]

Kai'Sa

[storm lava]

now it works

and you need to do the same with a 4, cuz it is not a prime

but by the main theorem of arithmetic, you can express any natural number as a product of primes

like you did with 16, it is 2 * 2 * 2 * 2 which is $2^{4}$

[ocean seal]

Kai'Sa

[alpine sable]

wait wait i dont understand

it HAS to be prime numbers?

[storm lava]

it is better if they are

but it is not necessary

[alpine sable]

so i get like 2*2^36 so i get 4^72?

or

wut

[ashen anchor]

You did a couple of these already :p struggle with it for a bit and I'm sure you'll figure it out

[alpine sable]

i did 1 actually just that this one has the 2* before so i was wondering what to do first, does it stay normal PEMDAS or BODMAS or however u call it?

[ashen anchor]

I'm not at my drawing tab right now but remember that 2*2^n = 2^(n+1)

[alpine sable]

wait what

[ashen anchor]

You agree that 2*2 = 2^2 right

[alpine sable]

yes

[ashen anchor]

Notice that

2*2^2 = 2^3

[alpine sable]

wait

yes

[ashen anchor]

Struggle with it until it makes sense

[alpine sable]

alright

[ashen anchor]

By extension

[alpine sable]

HELP~

[ashen anchor]

2*2^n = 2^(n+1)

[alpine sable]

i seriously need help with my maths

[ashen anchor]

This channel is occupied by @alpine sable

Maybe try another question channel?

[alpine sable]

i got my marks and i got a 1/50 for my maths exam

its fine i will do some trial and error

im dont here for now ill come back if i cant solve it

[ashen anchor]

Sure thing

[alpine sable]

alright i cant figure it out

can u give me the step by step to finish it and ill analyze it?

bc the formulas are confusing to me

from (22^4)^9 * (22^2)^17 | (8^2)^3 * (4^2)^19

[ashen anchor]

I'm not at my table right now. If you haven't gotten a solution by the time I'm back, I'll show you in writing. Don't have time rn to type everything

[alpine sable]

alright ill stay here trying' to figure this thing out

[steady nova]

Hi! I have these 5 points, what function it can be?

[royal meadow]

can you give the actual values of the points

[forest sage]

Use a fit on desmos to find the equation if you have the points

[steady nova]

thanks! I didn't know about that in desmos

[forest sage]

Yes its very useful

But it won't give u that wonky looking function

Since it only fits based on a cur w

Curve

Like a quadratic

[alpine sable]

Can anyone check if this is right?…

[supple furnace]

hi guys

[winter rock]

Wassap

[lone pasture]

yes, btw for z you can just use Pythagoras because its a right angle

[alpine sable]

How do i do that?

[lone pasture]

well you know how the question the right angle is already given (indicated by the box thing)

[quaint trout]

It's basically what you did, because the cos(90) was 0 so that term fell away.

[alpine sable]

What would the formula be?

[lone pasture]

yeh

its just a^2+b^2=c^2

[alpine sable]

So it is right?

[lone pasture]

yeh

[alpine sable]

Ohh ok

[lone pasture]

I'm confused to how you know the cosine rule but not Pythagoras

[alpine sable]

pythagoras only had 1 rule right? the trangle one

i didnt learn beyond that

about him

[lone pasture]

neither

[bitter quartz]

Here's a question about Probablity and Statistics...

[alpine sable]

im good with that (on my low math level)

[bitter quartz]

How on earth is ordered pair used as set operators ?

[alpine sable]

ye im not theer yet

[bitter quartz]

Just me n math fighting... sorry if I'm being rude

[alpine sable]

nah iget it, math is annoying sometimes

[lone pasture]

if any helpers here plz help me in questions 1 channel I been waiting for ages

[bitter quartz]

What is the subject, let's say. Is Khan Acdemy teaching this for University tho?

[bitter quartz]

ok

[bitter quartz]

Because of your name, it's hard to find it. Could u repost it here?

[lone pasture]

its alright someone has come to my resuce

rescue

But thanks anyway

[wind hare]

can someone help me with this

<@&286206848099549185>

[steady nova]

I tried to use it, but still can't find function xD

[forest sage]

Ok

I will try

[royal meadow]

oh, it's trivial

f(x) = 4/x^2

[forest sage]

Oh

Yeah

By observation

But I will still show you

[steady nova]

o_o
thanks a lot

[vocal olive]

just scored 23% in maths... the worst grade of my life i feel depressed

[amber urchin]

Don't worry, some people don't know what 23% means 🙂

So it can always be better, just learn from your mistakes and try again, hopefully successfully

[vocal olive]

:c that doesnt help lol

[bitter quartz]

is it 1 day?

[amber urchin]

No

Half-life means after that amount of time it will be 50% of it, after double amount of time 25% etc

[bitter quartz]

so 2 to its power can come in use, right?
grams wouldn't matter?

Awe, it's supposed to be 8 days?

[amber urchin]

Also not

I can give you a clue, 2 to some power is the way to solve it

But is not necessarly the answer, it is only a tool to find out the answer

[forest sage]

Never mind I don't remember how to do it on desmos xd

But if you search I think you can find it

[wind hare]

what formula should i use?

[lone pasture]

half life formula

[wind hare]

oh that's why i was having a hard time answering this prob they given me the wrong formula

[gray reef]

Jesus

[lone pasture]

@wind hare you can also use a more simple approach

when you start of with 1/1 as fraction and keep diving by 2 until you get 1/256 and find the number of divisions required which will be the half lifes undergone by the sample

[forest sage]

Don't have to use formula

It's pretty intuitive

To make sure you understand

[wind hare]

what formula should i use then?

[lone pasture]

start off with 1/1 and divide by 2 until you get to 1/256 because halving it is just finding how much of the sample will be left over after the next decay

[wind hare]

i need the days

[bitter quartz]

t=2 to its -t

[lone pasture]

After you calculat total half lifes undergone you can times by one half life time to find out total time

[alpine sable]

factors of -24

1 * -24

2 * -12

3 * -8

[alpine sable]

4 * -6

[alpine sable]

oh this

[kindred scaffold]

:’)

[alpine sable]

so lets format it

[bitter quartz]

the ans should be 64 days....

[alpine sable]

,, \frac{10^2 - 12x + 36}{2(10) - 12}

[ocean seal]

! 🎃Future🎃Bye Pizza ;[

[alpine sable]

,, \frac{100 - 12x + 36}{20 - 12}

[ocean seal]

! 🎃Future🎃Bye Pizza ;[

[alpine sable]

,, \textit{which is} \frac{136 - 12x}{8}

[wind hare]

can you show the formula? i wanna learn how to do it

[ocean seal]

! 🎃Future🎃Bye Pizza ;[

[alpine sable]

12x cant divide 8 so

[tight karma]

I think the answer is 5 but I am not sure

[alpine sable]

thats maybe it

[lone pasture]

Come to different channel and I will show you

[alpine sable]

simple formatting in a nutshell:

[vital inlet]

Help me

2 pls

[forest sage]

Cube both sides

[vital inlet]

how to cube root x pls tell me

[forest sage]

$x = (-1/4)^3$

[ocean seal]

Bagel

[forest sage]

The opposite of cube root

Is cube

So cube both sides

Then u get above

Which simplifies to -1/64

[vital inlet]

thank you man

[alpine sable]

what in the power of something gives me 40 or something 40 divides with?

[forest sage]

@vital inlet writing this will help

$cuberoot(x) = x^{1/3}$

[ocean seal]

Bagel

[vital inlet]

i need that i have to give it to my school tomoreow

[forest sage]

Then you can see that if you cube both sides

You get

$x^{3/3} = x^1 = x$

[ocean seal]

Bagel

[forest sage]

Well if u want irrational numbers

U can do like x^2 = 40

[alpine sable]

what does that mean

[forest sage]

Then u get x = sqrt(40)

[alpine sable]

i need normal numbers

like 2*5^2 = 50, something like that but for 40

[forest sage]

Which is 2 sqrt(10)

Ok

Normal numbers

Are called integers

[alpine sable]

i dont even know what qrt means lol

[alpine sable]

alright

[forest sage]

There are no integer solutions to x^2 = 40

Thus nothing squared will give you 40

If the number is an integer

[alpine sable]

the thing is, i have this question:

(50^9 * 40^17 * 100^38) / (32^27 * 25^55) without a calculator

[forest sage]

40 divides by 2, 4, 5, 8, 10, 20 and itself

[alpine sable]

so im breaking down the numbers kind of

[forest sage]

So like this
$(50^9 * 40^{17} * 100^{38}) / (32^{27} * 25^{55})$

[alpine sable]

uh

[forest sage]

Oh waitt

[ocean seal]

Bagel

[alpine sable]

yeah but its a fraction

if that matters

[forest sage]

It's the same

[alpine sable]

so yeah that

[forest sage]

As dividing

You learn exponent laws right

Or power laws

[alpine sable]

i jsut started with that subject so its a bit comlicated

[forest sage]

Yes it can be tricky at first

U need to recognize the square numbers

[alpine sable]

its just knowing what to do but each exrecise is harder

[vital inlet]

8pls

[forest sage]

So first up 25 and 32 and 100

[alpine sable]

why

[forest sage]

5^2 and 2^6 and 10^2

[alpine sable]

but on the top there is the 50 40 and 100

[alpine sable]

3

[fast mantle]

have you been taught the laws of exponents? @alpine sable

[forest sage]

Relax first

[vital inlet]

thank you snek your the best

[alpine sable]

the basics, just started with it. i wrote it down i can write here what i learned

happy to help :)

[fast mantle]

are you aware of this law?

(a^m)^n = a^mn

[forest sage]

Oh wait

[alpine sable]

yes

[forest sage]

The question is actually really easy

Let me showbu

I write on my paper

[alpine sable]

alright

[vital inlet]

@alpine sable want to be frinds :D

[alpine sable]

lol sure :>

[vital inlet]

i will add you

[fast mantle]

that is what @forest sage was trying to get to 32^27 = (2^6)^27 and so on

[vital inlet]

@alpine sable cant send you a frind requset

[fast mantle]

once you have reduced all terms to prime factors and their powers, you can use the other laws to simplify your problem

[alpine sable]

its hard to understand it in discord messages itll be easier to undersatnd when he draws it

[fast mantle]

okay then you can wait for them to show you!

[alpine sable]

im doing math all day long every day its really annoying sometimes but it will pay out eventually

[fast mantle]

it definitely will

[forest sage]

I'm at a paper shortage

Hold on just a bit more

[alpine sable]

aight

i like this server bc in here people actually answer my silly questions

[vital inlet]

me to man

[vocal olive]

Help idk what I did wrong here

[viscid harbor]

how to do this?

[forest sage]

I did it a bit long winded so you can see the steps

[viscid harbor]

am very demb btw

[forest sage]

Do you know what to do after this?

[fast mantle]

a) (125/500)*100%

[viscid harbor]

ahhh ty

am dumb soo

[forest sage]

For b) careful of the unit conversion

[fast mantle]

in the (b) part, you convert m to cm then carry on

[wary stream]

Percentage is parts of a whole. The bigger value is normally the denominator and the smaller value is the numerator

[viscid harbor]

Is the answer 25?

[viscid harbor]

ok ty

[viscid harbor]

ty

[viscid harbor]

ty

@forest sage is the answer for a 25?

[fast mantle]

yep

[heady kindle]

how to solve them

[forest sage]

I would use a sign test instead

[viscid harbor]

!R

[heady kindle]

idk how to solve his

this

[forest sage]

Sub x= those values

[wary stream]

You just plug in the value into the equation

[heady kindle]

i did

[fast mantle]

i can't even see the question 🥲

[vocal olive]

but am i wrong

[heady kindle]

and got 1

[forest sage]

So f(0) = 2(0) - 5 = -5

[wary stream]

For which?

[vital inlet]

help on the page i am dum

[heady kindle]

1st one

[wary stream]

You plug in -4 as x

Then do basic algebra

[viscid harbor]

Is answer for b 2cm?

[forest sage]

Your answer is not always correct

[wary stream]

Not a percentage so no

[vocal olive]

but am i wrong

[fast mantle]

okay so f(-4) would be 2(-4)-5

[heady kindle]

rewrote the equation and got that

[viscid harbor]

Wait i need to give as a percentage?

[forest sage]

@vocal olive When second derivative is positive it may but not always mean minimum

[viscid harbor]

Oh shit yea

[wary stream]

f(-4) means plug -4 as x

[fast mantle]

no that's not how it goes 👀

[wary stream]

Not set f(x) equal to -4

[viscid harbor]

So answer for b is 2%?

[heady kindle]

how my teachers did it and told me to do it

[wary stream]

f(x) = -4 means that the equation is equal to -4

[wary stream]

Then you weren't paying attention because you learned it wrong

[viscid harbor]

any1?

;-;

[heady kindle]

bro i was the only one paying attention and i even asked the teacher how to do it one more time and he told me to do that :/

[forest sage]

I correct myself

[wary stream]

f(-4) means plug -4 as x, f(x) = -4 means set the expression equal to -4

[fast mantle]

yep yep

[viscid harbor]

OMG IM SO SMART

[forest sage]

you are right @vocal olive

[viscid harbor]

jk im dumb

[wary stream]

The teacher was probably on a different topic

[heady kindle]

same im tryna get help and getting told the same thing

[heady kindle]

what?

[viscid harbor]

lmfao

[wary stream]

Setting it equal vs plugging it in are two different topics

Your teacher was probably teaching how to solve for x

[viscid harbor]

My classes

[fast mantle]

you must have misunderstood him then. ask him again tomorrow and ask him to give you a few example problems

[viscid harbor]

theres more ;-;

[heady kindle]

no he wasnt

[wary stream]

No one asked

[heady kindle]

i did

[alpine sable]

can anyone help?

[vital inlet]

help i am dum

[vocal olive]

im pissed at my teacher, how dare he mark it wrong i want my 3 marks, gimme my 18 marks instead of 15

[viscid harbor]

lool

uhh

[fast mantle]

anyone??

[vital inlet]

nvm

[heady kindle]

bruh i didnt misunderstand him because he was legit helping me for 30 minutes to solve the problem and he even wrote it on paper

[viscid harbor]

thas like rockt science to me

[vital inlet]

help on this fast pls

[alpine sable]

hi bagle maybe i did a mistake but it didnt work i got it wrong

[viscid harbor]

i cnat see it

@vital inlet

[wary stream]

Are you even paying attention? f(-4) means plug -4 as x, meaning f(-4) = 2(-4) - 5, f(x) = -4 means -4 = 2(x) - 5

[alpine sable]

idk where i got it wrong

[heady kindle]

bro...

[fast mantle]

what did you get??

[vital inlet]

ok i will take a beter pic @viscid harbor

[fast mantle]

-4**

[alpine sable]

i got 11^29 the answer is 10, i mest up somewhere

[fast mantle]

show us your working

[wary stream]

Thanks

[alpine sable]

ok

[fast mantle]

no probs

[viscid harbor]

what is 336/4?

uhh

like

90 smt

[fast mantle]

84

[viscid harbor]

idk

[viscid harbor]

ok ty

[heady kindle]

ive also been trying that idk if you saw the message but even if i plug it in as x im still confused on how to solve it

[alpine sable]

my camera sucks

[wary stream]

Divide 336 by 2 then 2 again

[fast mantle]

okay what is 2*-4??

[wary stream]

I told you what to do

[viscid harbor]

i cant im dum

[heady kindle]

-2

[fast mantle]

..... -8

[wary stream]

Multiply

Not add

[viscid harbor]

lool

[fast mantle]

it's not addition

[heady kindle]

-2

[viscid harbor]

even ik that

[forest sage]

How did u get 10 in the denominator?

[viscid harbor]

if its -2*-4 its 8 right

[cinder jolt]

Hı guys İm sorry for my divide but guys any turkish people is here? İ asked because my problem language is turkish and im 7.th Grande student my English is not very good

[wary stream]

Yes

[viscid harbor]

YESS

[alpine sable]

2^54 * 3^54 * 5^110

[viscid harbor]

I DID SMT IN MY LIF

[alpine sable]

maybe i read it wrong

[forest sage]

Your laws are wrong

[heady kindle]

good job

[forest sage]

Check them again

[wary stream]

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:evaluating-functions/v/understanding-function-notation-example-1

[alpine sable]

wdym

[wary stream]

It's simple algebra

[heady kindle]

maybe for some people

im not good at math bro

[fast mantle]

that'll change to (23)^54 * 5^110 = 6^54 5^110

[wary stream]

Do you not know what 2(-4) - 5 is?

[alpine sable]

wait what

[wary stream]

Order of operations?

[forest sage]

A^B * C^B should equal (AC)^B

[alpine sable]

wait so idont understand where i got it wrong

[fast mantle]

a^m * b^m = (a*b)^m

[alpine sable]

ok but where did i get it wrong exactly so i dont need to start over

[heady kindle]

-13 ???

[fast mantle]

idk your pic isn't clear for me

[alpine sable]

ill try again

[wary stream]

Yes

[fast mantle]

yee

[alpine sable]

ahh why is my cam so bad

[viscid harbor]

answer is science right

[heady kindle]

imma just stop asking questions here i feel like a total dumbass

[viscid harbor]

thas 2

[wary stream]

Like I've been saying, f(-4) means plug in -4 for x. So if you had f(x) = 2x - 5, and f(-4), then 2(-4) - 5

[viscid harbor]

wtf dies plug mean

[harsh swallow]

insert

to plug in means to insert

[wary stream]

What's the percentage score for science?

[wary stream]

Math?

[viscid harbor]

LMFAOO

[fast mantle]

okay so do you know that a^n/a^m = a^n-m?

[viscid harbor]

Its a math question

[alpine sable]

now i know that'

[wary stream]

Did you read the question?

It says to find the percentage to make it easier

[viscid harbor]

ITS A GODDAMN MATH QUESTION

[alpine sable]

class was 3 hours i may learned that

[wary stream]

So what is the percentage score for science?

[forest sage]

62/75 > 96/150

[fast mantle]

yes it is

[viscid harbor]

yes ty

[viscid harbor]

tysm

[idle bloom]

Here in the first formula the difference quotient is in the form of a functions
But when considering the example f(x) = 1/x, they are directly using that without considering as a function why is that so?

[wary stream]

But it's not

[viscid harbor]

its is DUDE

[fast mantle]

soo just solve the second last equation using that law

[wary stream]

I know it's math, find the percentage of the score for each subject

[heady kindle]

what if your only given 1 value

[fast mantle]

it is

[forest sage]

What do you mean

I don't get ur qn

[wary stream]

Is 96/150 greater than 62/75?