help-0

[tranquil parcel]

Ok so do you now how to proceed from here?

It’s just basic algebra now

[gleaming nexus]

No, I dont

[tranquil parcel]

Oh ok so

You want to multiply by the reciprocal

So (1/cosx*sinx )(cosx/1)

[gleaming nexus]

Like this?

[tranquil parcel]

Yes

So what do you see now?

When multiplying

[gleaming nexus]

So I'd the final answer

Why is it upside down?

[fervent holly]

anyone know how to solve this question? "In the relation y = 5x^2

• 5x + 4, for which values of y will the corresponding equation have
  two solutions"

[tranquil parcel]

Nice that’s correct

[tranquil parcel]

Still in use

[gleaming nexus]

Ah okay

[tranquil parcel]

So if you want it in terms of sinx you should leave it like this

[gleaming nexus]

I'm away from the computer, so I'll have to try it later

[tranquil parcel]

Or (sinx)^-1

[tranquil parcel]

Ok

[tranquil parcel]

When D > 0

[gleaming nexus]

That's a -1

[tranquil parcel]

Yes but don’t forget the parentisese

(Sinx)^-1

[gleaming nexus]

Okay, thanks

[tranquil parcel]

Np

Hope I helped

[icy trail]

can anyone help me understand how a 3x3 matrix represents 3 planes? when you use them to solve simultaneous equations apparently the solution is when 3 planes intersect

thanks

[tranquil parcel]

Btw I suggest you to review some basic algebra and trigonometry

Makes it easier for next time

[alpine sable]

@icy trail hey
if you are a visual learner I highly recommend watching this video

https://youtu.be/kYB8IZa5AuE

[icy trail]

i have watched that series its awesome - thanks tho

im 90% sure that the rows are the normal vectors for each plane

[autumn herald]

hello, does anyone want to help me and try solve this equation?

i have tried to isolate for T

but idk man

this is super complicated and we're apparently not allowed to use calculator

im not asking for anyone to solve it for me but moreover guidance

it's the equation in the middle ofc haha

but whenever i use my math program it says its not possible to solve for this

[tranquil parcel]

Which one

I can’t read danish

[glass lichen]

$6^{\frac{-1}{4}}=\frac{1}{6^{\frac{1}{4}}}=\frac{1}{\sqrt[4]{6}}$

[ocean seal]

Mosh

[alpine sable]

wha

t

[scarlet spire]

so tan(x) is undefined when x is 180n + 90 where n is any integer right? in degrees that is

[glass lichen]

tan(x) is undefined for values when cos(x)=0

[scarlet spire]

yes

[alpine sable]

yes

[scarlet spire]

in degrees thats 180n + 90 and in radians thats pi(n) + pi/2

right?

[alpine sable]

yes

[glass lichen]

yes, odd integer multiples of pi/2

[scarlet spire]

im in grade 11 functions rn and were being taught to use degrees. should i get used to degrees or radians or does it not matter

[alpine sable]

(2n+1)pi

you can say

[alpine sable]

radians

[scarlet spire]

yea i figured

[alpine sable]

radians is reccomended

[jagged trout]

Try it maybe so

[idle trench]

💯

https://tenor.com/view/secant-line-converging-to-tangent-line-animation-gif-18716967

[tranquil parcel]

Doesnt that -1.44 become positive?

Bc it’s squared

[jagged trout]

Yeah, I'd see it right at the moment you say it ^^

[tranquil parcel]

And on the lhs the 1.44 is suddenly not squared anymore lol

[tranquil parcel]

I don’t think it’s possible without calculator

[alpine sable]

@alpine sable nice

Someone help I’m being dumb

Square both sides?

[tranquil parcel]

Yes

[glass lichen]

isolate for 8sqrt(x) then square

[scarlet spire]

why not isolate for sqrt(x)

[alpine sable]

Your right

[tranquil parcel]

Then you have fractions to deal with

[alpine sable]

Your guys r geniuses

*you guys

[tranquil parcel]

Nobody wants fractions

[scarlet spire]

i do 🙂

[alpine sable]

Literally what I was thinking

[scarlet spire]

lol

[alpine sable]

How would you solve it with fractions

[tranquil parcel]

[alpine sable]

Curiosity

[scarlet spire]

(8sqrt(x))^2 = 8x

is that true

or is it 64x

[alpine sable]

Uh

[tranquil parcel]

64x

[scarlet spire]

its 64x isnt it

ye

[alpine sable]

Ye

for this matrix

how would u write the matrix equation as a vector equation

idek what that means

Holy I got the entire question wrong

[jagged trout]

,w x = ((15 + x) / 8)^2

[ocean seal]

Results provided by WolframAlpha

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

Requested by Moriarty#2262

[alpine sable]

does anyone know what this question is asking for?

[hardy crest]

i need help

anybody know what this means

please @ me or reply

[alpine sable]

lol

its b i think

[jagged trout]

https://textbooks.math.gatech.edu/ila/matrix-equations.html#:~:text=cu )%3D%20cAu-,Definition,.%2C%20x%20n%20are%20unknown.

[alpine sable]

i actually was using that book

but

[heady crest]

https://www.youtube.com/watch?v=R9AJGxAJ0QQ

[alpine sable]

i understand what a matrix equation is and a vector equation but

im confused by what it means when it says 'matrix equation written as a vector equation'

does it mean its just asking for the matrix equation?

[jagged trout]

I had it understand so, that you have a equitation in matrix form and you should it transform into an vector equitation form

[hardy crest]

i got A

[alpine sable]

to follow up

[hardy crest]

I got A

[alpine sable]

in this equation tho

[hardy crest]

am i wrong

[alpine sable]

u have two matrices multiplied by each other

how can that be transofrmed into vector form bc

vector equation has x1(..) + x2(...) ...

[alpine sable]

oh its A forgive me

double negative

so its positive

[hardy crest]

bet thanks

[alpine sable]

lol

[heady crest]

https://www.youtube.com/watch?v=n2XyBSmISFw

[autumn herald]

thank you, i will try this out ❤️

[neon sonnet]

Guys i need help to study for my final tomorrow

[alpine sable]

right but the two matrices r

uneven

in terms of like

their dimensions

one is a 4 x 2 the other is 2 x 1

[jagged trout]

Yeah but calculate it for yourself also, I'd one or two errors in it

[alpine sable]

ig my question is how do i format it to get the Xs

[autumn herald]

yeye

i tried

[alpine sable]

bc in all the examples, they're equal sizes

[autumn herald]

however

i dont feel like i did it correctly

[lethal cedar]

Can someone help me with this? I have to show work too.

[jagged trout]

pardon me but in the example, the matrix is 2x3 * 3x1 = 2x1

[alpine sable]

like is the -2 supposed to be x1 and the 3 should be x2?

[jagged trout]

When that it's an parallelogram, it the answer then not only: (360° - (2 * 117°))/2 for A and C?

[jagged trout]

Should be

When you multiply two matrices with each other (a vector is a matrix two), then: AxB * BxC = AxC so, the dimension of B must be the same

[alpine sable]

so the bector equation is

(-22)+(73), (-2*-5)+(-1*-2)....

idk why it removed the * signs

[strong furnace]

use `` these around your sentence

[alpine sable]

ah ok tyy

but yeah basically you're saying the vector equation should be those things multiplied?

[jagged trout]

Well, a vector is also a matrix, so it a matrix multiplication

[alpine sable]

Can someone help me with a log question

Been stuck on this

I forgot how to like change it

[glass lichen]

it's a quadratic in disguise

[heady crest]

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

[alpine sable]

I know

Idk what to do with the 4 lmao

[glass lichen]

$2^{2x+4}=16(2^{2x})$

[ocean seal]

Mosh

[alpine sable]

o_o

[neon sonnet]

Moshi your my only hope please tell me you can help me find cd in a parallelogram

[glass lichen]

no

[proud fractal]

Would this be true?

[alpine sable]

I’m so confused

Was that for me mosh

[glass lichen]

clearly

[alpine sable]

;_;

[lethal cedar]

I need help with this.

Need to show work too.

[alpine sable]

I’m even more confused

[mental topaz]

well AB = CD

so x+2 = 2x-3

i think

[alpine sable]

WAIT

MOSH I did do that

Wtf

[mental topaz]

x=5

[neon sonnet]

No way me to

What a small world

[alpine sable]

I’m raging

[mental topaz]

CD = 2x-3

CD= 7

AB = 7

[lethal cedar]

What is A and B with work?

[mental topaz]

i think B = D

i could be wrong

so D = 117

B + A = 180

180 - 117 = 63

A = 63

i think

i could be wrong about anything lol

[leaden orbit]

Hey. I have a number represented as a product of few other numbers (positive integers): n integers a1, a2, a3, ..., an and I need to find the number of digits in a1*a2*a3*...*an without calculating the whole number itself (as it's too big). How could I do this?

[unique tapir]

uh

can anyone help me?

@glossy island

huh

[wary stream]

Don't be giving out answers

[alpine sable]

oh

[unique tapir]

i dont get what u said

[unique tapir]

can u help me

or u

ray

[wary stream]

Go ahead, delete those

[unique tapir]

but-

help me

; (

[mental topaz]

machen

[wary stream]

Factor out the greatest common factor

[alpine sable]

is it againsdt the rules?

[mental topaz]

so you have to basically factor out the biggest number that goes into both

[alpine sable]

#rules

[unique tapir]

oh

[glossy island]

generally we dissuade pinging individual users for help unless you know them ^^"

[mental topaz]

so what number goes into 4 and 2?

[unique tapir]

ik u

[alpine sable]

can you guys help me in #help-1 after

[unique tapir]

uhh

[wary stream]

The server uses a Socratic method to help people

[alpine sable]

oh ok I understand

[mental topaz]

okay what numbers go into 4?

[unique tapir]

2

[mental topaz]

exactly

and 2 goes into 2

[unique tapir]

ye

[mental topaz]

so the GCF of that would be...

[unique tapir]

2?

[mental topaz]

ye

[unique tapir]

so

how about the y

[mental topaz]

and so whats 4 / 2?

[unique tapir]

2

[mental topaz]

yes

so take out the 2

in this format

a(b + c)

[unique tapir]

ok

2(2+y)

[mental topaz]

a = GCF

[unique tapir]

oh

[mental topaz]

yes

or 2(y+2) lol

[unique tapir]

ok

how about the second one is it

[mental topaz]

what numbers go into 12?

[unique tapir]

2 3 4 6

[mental topaz]

good

we know that 2 will go into 42 because its an even number

[unique tapir]

mhm

[mental topaz]

but we wanna find the biggest one possible

[unique tapir]

uhm

ok

so

[mental topaz]

so whats 42 / 3?

[unique tapir]

14

?

[mental topaz]

good, so 3 is the current GCF

whats 42 / 4?

[unique tapir]

uhhh

it would be a decimal

[mental topaz]

yes

so it doesnt work

next number

42 / 6

[unique tapir]

7

[mental topaz]

good

so the GCF is...

[unique tapir]

7

[mental topaz]

yes

A(B+C)

A = GCF

[unique tapir]

7(

[alpine sable]

12 is not divisible by 7

[mental topaz]

oh wait yea lmao

what times 7 gives you 42

[alpine sable]

GCF is not 7, but 7 remains when you divide by the GCF

[mental topaz]

7 = C

[unique tapir]

6

?

[mental topaz]

yea good

sorry im tired lol

6 = A

7 = C

whats B?

[unique tapir]

uh

wait

[mental topaz]

well we do 12 / A

[unique tapir]

22

2

cuz

it 2 and the two numbers are

uh

idk

[mental topaz]

basically what you do is divide both numbers in the parenthesis by the GCF

[alpine sable]

12c+42

Factor out the 6

[cold stump]

'

how do i solve this with a LET statement

[mental topaz]

Em do you understand direct variation?

[unique tapir]

uh

[alpine sable]

Probably

y=kx?

[mental topaz]

possibly ill get the question

[alpine sable]

@unique tapir what do you get

[alpine sable]

When you factor out 6 from 12c+42 @unique tapir

[mental topaz]

12/6 42/6

[unique tapir]

what does that mean

2 and 6

?

no

[mental topaz]

close

[unique tapir]

wait

7

2 and 7

[alpine sable]

2c and 7

[mental topaz]

yes

[alpine sable]

The c stays

[unique tapir]

oh

[alpine sable]

@mental topaz set up the equations. First says y varies directly as x squared

[mental topaz]

so y=x^2

[alpine sable]

What about the inverse variation?

[unique tapir]

so the answer is

[mental topaz]

y= 1/cbrt(z)

?

[unique tapir]

2c+7

?

[alpine sable]

Good machen

[mental topaz]

dont forget the gcf

on the outside

6(2c+7)

[alpine sable]

Inversely means in from 1/something

[mental topaz]

y= 1/cbrt(z)

?

[alpine sable]

Good, now combine the two since it's the same y from what I can see

[unique tapir]

is that answr

[mental topaz]

x^2 = 1/cbrt(z)

?

[woven shuttle]

what is root-2 ik its i but like what does that even mean like ik but how is that used and what kind of problems or what side of maths do we use imaginary no for

[mental topaz]

no machen

dont forget the GCF

on the outside

well -2 is not imaginary

[alpine sable]

Luke you need to multiply the first and second

[ionic jewel]

there is a whole field of complex math

[mental topaz]

em do you wanna move to a different chat?

[ionic jewel]

I'm currently taking a complex analysis course and you would be surprised how useful those numbers are

oh sorry I'm interrupting

[alpine sable]

Sure luke ping me wherever

[woven shuttle]

ik but what is the name of the field called?

[alpine sable]

It's fine, Im helping him while he's helping someone else. Its a party

[ionic jewel]

complex analysis is the name of my course

it's just complex numbers in general

[ashen quarry]

what is the angle of f?

[cold stump]

can someone help me with this

Peter has $5.95 in coins in his pocket. He has 3 times as many quarters as nickels and half as
many dimes as nickels. How many nickels does he have in his pocket?

with a LET statement

[violet yoke]

110

110°

[ashen quarry]

but how? did u use a c pattern?

[jagged trout]

Look at a

[ashen quarry]

oh is it an alternate angle?

[violet yoke]

f=d+c

and d+c+70° are together 180°

[ashen quarry]

ohh so d is 45?

[violet yoke]

so 180°-70°=110°

[jagged trout]

(360 - 2*70)/2

[knotty sleet]

Or just do 70=e, e+f=180

[violet yoke]

yes

[ashen quarry]

oh so it was a z pattern

thank youuu

[violet yoke]

youre welcooommmeee

any other qustions?

[ashen quarry]

is a quadrilateral with two congruent pairs of parrallel sides that aren't perpendicular a kite?

im not sure tho cause the wording is weird

[violet yoke]

No, it's a parallelogram

Im not sure

[ashen quarry]

hmm i dont know if it is a parallelogram

[jagged trout]

5.95 = (3n) * 0.25 + (1/2n) * 0.1 + n * 0.05
maybe so

[violet yoke]

or ahm, how does it looks like, can U send a photo

[ashen quarry]

there's no pic, im gonna check to see if there is an answer key

[violet yoke]

?

[ashen quarry]

they aren't perpendicular

?

[violet yoke]

sorry, it's hard to do math in English because I'm from Germany

[ashen quarry]

lol it's ok

this is the same question but it asks for a

is it 110 degrees?

bc 180-70

[gray isle]

no

[violet yoke]

F is 110°

yes

[ashen quarry]

so a is not 110?

[violet yoke]

a is 70°

[ashen quarry]

but b is 45, right?

[violet yoke]

yes

[ashen quarry]

i thought it was because you did 180 cause it was a straight line

oops

so if b is 45, that means c is 65

[violet yoke]

yes

[ashen quarry]

ughh i should know this

thank you again !

[violet yoke]

youre welcoommee

[alpine sable]

They are called vertical angles, so they are congruent which makes a 70 degrees

[violet yoke]

can somebody recognize the person

[alpine sable]

Gandalf?

[violet yoke]

Yeah!!!!!!!!!!!!!!!!!!!!!!!!!!

[alpine sable]

Nice haha

[violet yoke]

I'm finally done

[strong furnace]

@ mods these guys just ignored our great lord Sauron

[violet yoke]

https://tenor.com/view/sauron-lotr-lord-of-the-rings-mordor-the-eye-gif-5619682

[ashen quarry]

thank you for the info

[violet yoke]

bad lord sauron

https://tenor.com/view/laugh-gandalf-wizard-lotr-funny-gif-6199411

what should I draw next?

[ruby fern]

Hi guys im kinda struggling with one easy task (its mathematical question tho): basically object is falling: at first second it travels 16 meters, at 2nd second it travels 48 meters, at 3rd second it falls 80 meters. The question it how much it will travel at 11th second. Now thing is that we are going geometric and arithmetic sequences topic. I can clearly see that this is arithmetic sequence and not geometric (or maybe im just retarded) but thing is, it has logic flaw then, because falling object couldn't have arithmetic sequence looking from physics aspect, and that concerns me :DDDD

[violet yoke]

Sorry I'm still smart enough to sort this out

[karmic spade]

falling distance over time by gravity is quadratic, not geometric.

That means that the rate of change over time is indeed linear

so the problem is correct

its not stating that the position is changing linearly, its saying the speed is increasing linearly

which is correct from a physics pov

[ruby fern]

Oh so then we use arithmetic sequence: 16+(11-1)32=336

thanks bruv

[karmic spade]

yep

👍

[dim vine]

If I'm interpreting a frequency table from a histogram, do I consider the boundaries as overlapping or not? e.g is it 0-5 and then 6-10 or 0-5 and 5-10?

Like from this histogram

The worked solution writes the table as this but I feel like I've seen somewhere that I shouldn't overlap the x values

[karmic spade]

wait yeah thats weird, because if x = 5 then it could go into 2 slots 😬

[dim vine]

That's what I was thinking

My Standard deviation is off by a few d.p and I'm assuming that's the reason

Ig I'll email my teacher and see if they donowall me

[dim vine]

sorry

[alpine sable]

Sus

[plucky crow]

why u gotta make it sus bro

smh

[dim vine]

I didn;t make it sus... I just allowed it to express what it always was

[unique tapir]

8g • 3y

how o i do this problem

24gy?

[raven rover]

Yup:

$8g \cdot 3y = 24gy$

[ocean seal]

Shen

[unique tapir]

no

it said

Find the product of each expression below. A) 8g • 3y________________________________
B) 6x • 12bc________________________________

im trying to do a

[unique tapir]

uhh

[raven rover]

8g times 3y equals 24gy

[unique tapir]

oh

ty

man

do fp

b

6x 12bc

i just mutiply?

and add

xbc

?

[edgy drum]

,, x^{-3/2} = x^{2/3}

[ocean seal]

pizzaparty

[edgy drum]

is this generally true?

[limpid spade]

x^-(3/2) is just 1/x^(3/2)

[edgy drum]

right that's what i thought

i'm doing a problem where 3^(-5/2) = 3^(2/5)

[plucky crow]

log2{100} = ln(100)/ln(2)

is this correct?

[alpine sable]

Yes, by the change of base formula it is equal.

[plucky crow]

it makes no sense to me

what is the change of base formula

[alpine sable]

The change of base formula states that log_b{a} = log_c{a}/log_c{b}. Where c is any number that doesn't make the logarithms become undefined (c cannot equal 1 or 0).
However, it's almost always done with natural logarithms so:
log_b{a} = ln(a)/ln(b)

Proof for the case of using ln():

let x = log_b{a}
b^x = a
(e^(ln(b)))^x = a
e^(ln(b)x) = a
ln(b)x = ln(a)
x = ln(a)/ln(b)

[plucky crow]

thank you!

[alpine sable]

No problem. Btw, the way I remember it is that the base goes on the bottom cause it's the base.

[unique tapir]

MAy someone help me

[alpine sable]

What do you need help with?

[unique tapir]

to blurry?

[alpine sable]

I'm able to read it.

For A, start out by thinking about how many treats there would be total (as an expression using a and e).

[unique tapir]

ok

[alpine sable]

Then move on to how many each of the 6 friends get.

[unique tapir]

ok

uh

6/

[alpine sable]

I don't know what the keywords would be, but I can guide you towards the correct expressions.

[unique tapir]

ok

can u start me off

cuz im confuse

[alpine sable]

Another way to think about A is that the total number of treats is being divided up between 6 friends.

[unique tapir]

a/6?

[alpine sable]

Emily also brought treats

[unique tapir]

a e

[alpine sable]

You're very close.

[unique tapir]

a+e

a+e/6

?

[alpine sable]

Yes

[unique tapir]

so

that the answer to a

?

[alpine sable]

Yes

[gray isle]

it is a little ambiguous whether they themselves would be included in the split

[alpine sable]

Well, if you write it in one line like this, you would need parentheses around (a+e) cause of order of operations, but if it's a vertical fraction you don't need the parentheses.

[alpine sable]

Good point.

[gray isle]

or whether they are included within that 6

[unique tapir]

oh

ok

[alpine sable]

So do you also need help with B and C or do you get it now?

[unique tapir]

let me see if i can o it

by my self

[alpine sable]

🆗👍

[unique tapir]

ok

so

b

is

rx2

c

is t-35

[alpine sable]

Yes

[unique tapir]

ok

ty for the help

for a

[alpine sable]

This would usually be written as 2r since the x sign can be confused with the letter x. If you're teacher hasn't taught the class that yet though then don't bother changing it.

[prime stone]

Anyone here know how to do hypothesis test??..its been stumping me for a while

[unique tapir]

oh

[alpine sable]

What is the context?

[prime stone]

Stats..I think I got the 95% interval down

That was confusing too..but the formula is only good for sample above 30

But hypothesis test just confuses me like crazy

(Dw practice from the test..not actual test)

[unique tapir]

is it still in use?

this channel?

what does standed form mean here

[glass lichen]

mean where?

[alpine sable]

I have no idea what that is, sorry

[prime stone]

@alpine sable no worries it's all good

[wary stream]

Maybe it means the actual value?

When you multiply it out

[glass lichen]

the number itself

also how did 1/4 = 4?

[unique tapir]

uhm

oops

ok

.

[alpine sable]

Help?

[glass lichen]

can you plug in x=5?

[alpine sable]

:|

Where do I go from there

What do I do with tan

[glass lichen]

Im asking can you plug in x=5 with no issue?

[alpine sable]

Idk can I? 😭

[glass lichen]

no indeterminate form, no division by 0, etc

well im asking you

[alpine sable]

f(x) = tan(πx/4) is defined and continuous at x = 5, no?

[glass lichen]

Yes.. didnt ask the peanut gallery

[alpine sable]

Well I'd assume you can

Plug in^

[glass lichen]

dont assume, tan(x) is defined for all values of x except for its asymptotes.. and x=5pi/4 isnt an asymptote

so you just plug in an evaluate..

[alpine sable]

Man idek what that means, can you just walk me through the process of doing it

Like do I transform tan into sin/cos

[glass lichen]

plug in x=5, what do you get?

[glass lichen]

just evaluate the tan. .. .

it's basic trig, nothing fancy

[alpine sable]

FUCK TRIG I HATE TRIG

Lmao

[glass lichen]

cool

[alpine sable]

Idk what you mean by evaluate the tan

I'm slow sorry

[glass lichen]

evaluating 5^2 gives 25

that's what evaluate means

[alpine sable]

Ah

I see

I'm confused tho, where do you get the ^2

There's other channels man @dim vine

Nvm figured it out

@dim vine all yours

[dim vine]

okey....

How do I do this Q? I thought the number after 20 had to be between 0 and 1 as it was the probability

[glass lichen]

the 9 is just standard deviation, squared I believe

$N(\mu , \sigma^2)$

[ocean seal]

Mosh

[dim vine]

Ty

Wait

I think I'm on the wrong specification anyway

[alpine sable]

Confusion, think I'm just dumb

Any Idea how I solve this?

[plucky crow]

Circumference = pi 2r

Find the radius of circle x using this formula you have the circumference

,w 44/(2 * pi)

[ocean seal]

Results provided by WolframAlpha

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

Requested by Syphax#3869

[plucky crow]

Thats the radius

Circle x has a radius 7 you should be able to answer the q now

[minor dagger]

can someone help me with this please?

[surreal merlin]

Just took my algebra exam

not feeling good

[minor dagger]

I took my precalc one yday and my brain literally froze

[gray isle]

show work. how did you only get two zeroes?

[minor dagger]

i need help solving that part

[gray isle]

consider factoring

[alpine sable]

Any good resource for learning all Trigonometry formulae?

[heady crest]

https://www.youtube.com/watch?v=PUB0TaZ7bhA

[alpine sable]

Thanks mate👍🏻👍🏻

Is it also advanced trigno?

[wicked axle]

how do we know the angle is 115? pls ping me

[odd gate]

1+10=?

help please

[alpine sable]

0 + n = n
m + (n++) = (m + n)++ (proof that addition has been well-defined is left as an exercise)
1 + 10 = 10 + 1 (proof of the commutative property is left as an exercise)
0++ = 1
therefore 10 + 1 = 10 + (0++) = (10 + 0)++ = (0 + 10)++ = 10++ = 11.

[alpine sable]

ty

[alpine sable]

110 remove the 0 I mean he asked 1+10

Computer forgot to remove the 0 smh

[lost notch]

is this correct?

[lost violet]

One way to determine the flow rate (the amount of fluid that circulates per unit time) in an open channel is by using a weir like the one shown in the figure. The head H of the fluid in the weir is related to the flow rate Q by the following expression: $Q = C \tan \left( \frac{\theta}{2} \right) \sqrt{2g} H^{5/2}$

where C is an unknown constant that must be determined experimentally, θ is the angle of the triangular profile and g
is the acceleration due to gravity.
To calibrate the weir, measurements of H
and Q and a graph is prepared. What shape will the graph be?

[ocean seal]

alef0

[alpine sable]

can anyone hep me with this?

can anyone solve this with derive 6?

Message #help-0

because i cant and also im very bad with integration

[carmine ermine]

just integrate

$\int{\frac{1}{x^2\sqrt{x^2 - 1}}}dx$

[ocean seal]

Jaytron

[storm turret]

theyre probably asking how you integrate it

[alpine sable]

You live in my heart

[carmine ermine]

Oh

[strong furnace]

do the u-sub x= sec(theta)

that ought to simplify it by a lot

[storm turret]

trigsub not u sub

[alpine sable]

same thing

[storm turret]

eh

[alpine sable]

yeh

[strong furnace]

my bad its pretty late and I am sleepy

just the idea

I hope he gets it

[alpine sable]

is there some other way to solve this without performing trigonometric or hyperbolic substitution?

probably

try subbing in x=1/t

nah not ibp

something along the lines of it, like subbing in u = sqrt(x^2-1)

so du = x/sqrt(x^2-1)dx

or integral of 1/x^3 du

= integral of 1/(u^2+1)^3/2 du

[storm turret]

then you v sub?

[strong furnace]

associate x from the root and u-sub u=1/x^2

[alpine sable]

hmm

ok guyz thank you so much, ill try those, seem more like it

[sick phoenix]

lower and upper bound of -10?

to 3 sf

[open elbow]

How we go from :

-x = 9 mod 20
to x=11 mod 20 ?

[sick phoenix]

um this station isnt free

<@&286206848099549185>

[ivory zodiac]

can someone hint me towards the solution for a) and b)

[gusty dune]

pulley system?

[ivory zodiac]

i know tension on the right most rope is 100 N

[gusty dune]

pullup on some bitches lmao

[ivory zodiac]

but how does that transfer over to the cable on A?

[gusty dune]

You first imagine a right angle and solve

[ivory zodiac]

is that the only way of doing it?

[gusty dune]

If a 90 degree angle is directly upward

[ivory zodiac]

ahhh

[gusty dune]

the other angle must be 45

A is given

[ivory zodiac]

so it's just 100 cos 40

[hasty kite]

How would one go about finding what a6 is to be able to compute the geometric series? or is a6 not needed in this case?

I know I need to find the common difference for this series but im not sure how to find that when a6 is missing

[glass lichen]

you can determine r and subsequently a

$a_7=a_5r^2$

[ocean seal]

Mosh

[vapid rose]

At this point im getting delerious, would MUCH MUCH MUCH appreciate if someone could help me clear up my doubts

essentially the question is a joint pdf for X ~ uni(0,T) and Y ~ uni(0,X)

I know that $f_{X,Y}(x,y) = f_{Y|X}(y|x)f_X(x)$

[ocean seal]

Biggergig

[vapid rose]

and intuitively I can get the same answer of

$f_{X,Y}(x,y) = \dfrac{1}{xT}$

[ocean seal]

Biggergig

[vapid rose]

for $0\leq y \leq x \leq T$

[ocean seal]

Biggergig

[vapid rose]

but when integrating it over its bounds, it ends up being infinity somehow and im so lost

[alpine sable]

@carmine ermine after all i think you were right all i needed to do was this

[ember sedge]

can anyone help with this please? <@&286206848099549185>

[dull storm]

hi guys, me again 🙂

how is this possible?

is this an error or smth?

sin/cos = tg

but it shows it as tg^2

[shell widget]

@ember sedge Use linear approximation for the function sqrt(x) at x = 13

[ember sedge]

can you walk me through that please?

[shell widget]

is it a test

[ember sedge]

practice problem

textbook is really confusing for me :(

[shell widget]

actually mb,

[ionic jewel]

basically you use the value at the closest known point, then you draw a "line" using the slope at that point to estimate the rest

[shell widget]

Use linear approximation for the function sqrt(x) at x = 169

[ember sedge]

hmmm, okay

that's gonna take me a sec bear with me

so y is 13

and the rest is just derivatives?

[mystic sinew]

I understand that all points on these lines would be invariant but what can we figure out from that in terms of like the nature of the transformation?

[ember sedge]

am using channel brother

[mystic sinew]

ah my bad sorry thought it was over

[ember sedge]

no worries

[tawny lion]

what are you trying to find the tangent line of

[gray isle]

y is the linear approximation of f(x) around a

[kind sigil]

anyone know what the answer is to this?

[gray isle]

consider a = 169
and x = 170

f(x) = sqrt(x)

L would've probs been better than y,
paul's online notes has a decent guide on it

[mossy basin]

can some one help me with:

[ember sedge]

got it, thank you sir

[gray oasis]

anyone have a clue how to do this

last one i have, one more guess

[wary stream]

Factor

And zero product property

[pure olive]

can you help me in q2 after ur done helping him

[gray oasis]

so 0 and 180?

keep getting it wrong lol

[wary stream]

Did you factor?

[gray oasis]

yeah

sinx = 0 and tanx = 3/4

when i solve for answers in q 1 and 3 for tan its wrong

[wary stream]

It does say all angles, so you are missing a few more

[gray oasis]

ill try it

pray for me

got it thanks lol

[alpine sable]

can someone explain how this works?

[wary stream]

Do you know what associative and commutative property is?

[woven pollen]

That is exactly it. It doesn't get simpler. Maybe you could look at examples of 'associativity' and 'commutativity' in separate examples.

[alpine sable]

yes

[wary stream]

Because that's all it's applying

[hollow canyon]

Hey, do you know if I've done this problem correctly?

[alpine sable]

but i don't understand the actual answer

to me it looks like he's just rearranging the variables

[wary stream]

All you do is plug it into the interest equation

[wary stream]

That's exactly it

Rearranging the variables

[carmine ermine]

Ohh lol

[wary stream]

Using the properties

[woven pollen]

They did just arrange the variables by using the properties of associativity and commutativity.

It's that simple.

[alpine sable]

here's where it's all defined

[wary stream]

I know what these properties are

[alpine sable]

i don't think i do

i'm not sure i fully understand the meaning of them

besides order of variables and parenthesis meaning nothing

[wary stream]

Commutative is just rearranging the terms, associative is changing the groupings

[wary stream]

I suggest looking up resources if you don't understand the properties

[alpine sable]

on wikipedia it simply says: which means that rearranging the parentheses in an expression will not change the result.

so is that really all it is

[wary stream]

Yes, it's just that

[copper charm]

Is this right I don’t get it

[wary stream]

Use your trig functions

[alpine sable]

then maybe i'm struggling with translating expressions to other expressions with it

[copper charm]

@wary stream explain

[wary stream]

It says tangent of angle P, what's the tangent ratio?

The ratio that has no numbers

[copper charm]

Opposite Over adjacent

[wary stream]

What's opposite of P?

Numbers this time

Are you sure?

What value is opposite of P?

[echo pike]

Is this channel busy?

[wary stream]

Why would you say that?

[wary stream]

Yes, it's busy, can't you tell?

[copper charm]

So it’s 5

[wary stream]

Are you just guessing all the values?

[alpine sable]

@wary stream so my task is to prove (a + b) + (c + d) = (a + d) + (b + c)

[ionic jewel]

associative property

[alpine sable]

but i'm just confused on where to start

or how you even prove something like this with both properties

[ionic jewel]

associative means the parenthesis dont matter here

[wary stream]

Your document here literally explains it

[ionic jewel]

so you can drop them, then use commutativity to move them around

then put the parenthesis back if you want

[alpine sable]

it does but i want to walk through it myself

so that i can do the next questions alone

[alpine sable]

ok, so first we remove the parenthesis on the right side?

a + d + b + c

[ionic jewel]

sure

[wary stream]

Why right side? I mean you can start on the right but I thought you were proving the left

[ionic jewel]

proving equality works either way but yes it's traditional to work on the left side only

[alpine sable]

oh

then a + b + c + d

that proves for associativity?

according to the answer i'll assume so

[copper charm]

Sorry I’m back

Do I stay or go somewhere else

[wary stream]

You can continue here

[copper charm]

Ok so I’m confused

Idk if I’m right or wrong

This was the question

[wary stream]

Let's reiterate, what did you say tangent ratio was?

[copper charm]

Opposite/ adjacent

[wary stream]

So you need tangent of angle P

What value is opposite of P?

[copper charm]

Number or letter?

R?

[wary stream]

Number because I said value

[copper charm]

Has to be 4

I said it before but you didn’t say anything

[wary stream]

I asked if you were sure on that answer

[copper charm]

Yes

[wary stream]

Now what's adjacent to P?

[copper charm]

5

[wary stream]

Are you sure about that?

[ionic jewel]

if someone says "are you sure about that?" the answer is always no lmao

[copper charm]

Brh

[ionic jewel]

i really gotta start throwing in some "are you sure about that?" even when people are right

[wary stream]

When I ask, "are you sure" , I want you to be confident in your answer choice @ionic jewel

[copper charm]

Ok so it’s 5

[wary stream]

Explain that choice

[copper charm]

Now what

Idk bruh u said opposite of adjacent and that’s hypotenuse so the hypotenuse was 5 in the question so I picked 5

We don’t really gotta go that deep into it

[wary stream]

What did you label the 5 as?

[copper charm]

Hypotenuse

[wary stream]

Is that the adjacent side that you said that was in the tangent ratio?

[copper charm]

Idk dude

[ionic jewel]

adjacent, opposite, and hypotenuse are always unique

if its the hypotenuse its not the adjacent or opposite

[ionic jewel]

,w 5/(6(x+3))+(x+4)/(2x) = 2x/(3x+5)

as written, absolutely not

if you would like to add parenthesis to fix it feel try to try again

[plain sundial]

help pls

[ocean seal]

Results provided by WolframAlpha

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

Requested by 兔子#6562

[plain sundial]

@lime gate

[ionic jewel]

they are not equal

as you can see from wolfram

yes

[lime gate]

bruh why did you ping me

Im just a random helper

[plain sundial]

help me pliszzz

[ionic jewel]

your simplified answer is wrong

[ionic jewel]

yep this is why you dont get the helper role, otherwise you get pinged by random clowns who cant read the rules

[plain sundial]

@ionic jewel help me with this please

[ionic jewel]

do not ping me

where does it say "please ping specific helpers if i cant solve my problem"

nowhere is right

in fact, if you bothered to read the rules you would have seen that it says the exact opposite

[spiral pebble]

And why the image sent is black lol

[ionic jewel]

please read the rules before coming in here and breaking as many as you can

#❓how-to-get-help

go to wolfram alpha and type in your equality

if its equal it will say "True"

[spiral pebble]

@plain sundial

[plain sundial]

thank you yatharth

[wary stream]

Why are you doing people's work for them? Don't. You teach them how to do it not show all the steps with the final answer

[ionic jewel]

also this guy doesnt deserve help

also those are some fancy looking 2s in your handwriting

[woven pollen]

does 0^0 = 1 ?

[spiral pebble]

But i think in advance courses like calculus it is said to be indeterminate

Means it can have any value

Just like 0/0

Cuz 0^0 is also 0/0

[wary stream]

Those are not equivalent

[spiral pebble]

Why anything raised to power is 0?

Look this pattern below

powers of 2

[random mango]

it depends on who you ask

crap wrong ping

[spiral pebble]

1/4,1/2,1,2,4,8,16,32,64

[random mango]

there are proofs for both sides with it being 0 and 1

[spiral pebble]

It is telling that as we are going to the right we are increasing by 2 and decreasing by 2 in the left

[wary stream]

0^0 is a special case. It is either defined as undefined or 1

Not any value

[woven pollen]

oh well.... 0^0 = 0^(n-n) = 0^n · 0^(-n) = 0/( 0^n ) = 0/0. undetermined.

[lime gate]

facts

[woven pollen]

I like it the other way round.

[ocean seal]

Yatharth

[woven pollen]

what if n = -7 ?

(I'm joking.)

[spiral pebble]

Lol

[graceful moth]

hey im stuck on this homework problem does anyone know anything about it?
If the area of a circle is 81π and the area of a sector of the circle is 18π, then what is the measure of its central angle in degrees?

[ionic jewel]

what percent of the circle is the sector?

[graceful moth]

thats what im stuck on it doesnt say

thats the whole question

[ionic jewel]

well you know the sector is 18pi

and the entire circle is 81pi

so you would do $\frac{18\pi}{81\pi}$

[ocean seal]

bunny

[ionic jewel]

do you see where i came up with this?

[graceful moth]

yeah

and then im guessing simplify that to degreess as well

[ionic jewel]

,calc 18/81

[ocean seal]

Result:

0.22222222222222

[ionic jewel]

well

how many degrees in a circle?

[graceful moth]

360

[ionic jewel]

and the sector is what percent of them?

[ionic jewel]

$\sum_{i=???}^9 5(-2)^{i-1}$

[ocean seal]

bunny

[ionic jewel]

whats the ???

well I have no idea what that means then sorry

generally you can use the geometric sum formula tho

wolfram guesses it means i = 1

here u go

[olive zephyr]

HELP PLS

last questions

[wanton turtle]

Looks like a test

[olive zephyr]

its niot

[hoary sand]

show the whole page

[olive zephyr]

its an assignment

@wanton turtle @hoary sand

[tranquil tulip]

they all had 6 i think

1/4 of 24 is 6 and 24-6 is 18 and 1/3 of 18 is 6 and 18-6 is 12 and 1/2 of 12 is 6

[olive zephyr]

<@&286206848099549185>

[olive zephyr]

hMM

pls help some1

[olive zephyr]

R u sure thats it?

[sullen echo]

He's correct

No idea why you're still asking for help

[olive zephyr]

cuz i wanna be 100% percent sure lol

[olive zephyr]

So is that the answer to A)? @tranquil tulip

[tranquil tulip]

no b

[stone shard]

well the answer for A is also in there

[olive zephyr]

oh ok, my teacher said Your final answers should given in sentence form. Could u please help me with that

[tranquil tulip]

the teacher gave out 6 candies to each finisher

[olive zephyr]

and this is for B), right?

[stone shard]

yes

[olive zephyr]

Ok what about a?

[stone shard]

There is four students, they each have 6 candies...

[tranquil tulip]

wait how do you solve it without guessing

i just guessed

[stone shard]

???

you guessed the answer?

[olive zephyr]

lol

[tranquil tulip]

no i guessed 24 and solved to see if it was correct

But like how do u do it without guessing

[tranquil tulip]

the teacher gave out 24 candies in total

[sullen echo]

(No. of candies) * 3/4 * 2/3 * 1/2 = 6

[stone shard]

Your method is correct, except you would work backwards (start calculating from 6 and get to 24)

[olive zephyr]

alright so for
B) 1/4 of 24 is 6 and 24-6 is 18 and 1/3 of 18 is 6 and 18-6 is 12 and 1/2 of 12 is 6

the teacher gave out 6 candies to each finisher. ?

and for A) it's 24 candies in total?

[stone shard]

Yes, A is 24

But I wont write B as :
1/4 of 24 is 6 and 24-6 is 18 and 1/3 of 18 is 6 and 18-6 is 12 and 1/2 of 12 is 6
Because it does not show how you got 24

[stone shard]

This is a better solution

[olive zephyr]

oh alright

[stone shard]

(No. of candies) * 3/4 * 2/3 * 1/2 = 6

(No. of candies) * 0.25 = 6

[olive zephyr]

what is the No. of candies

24?

[stone shard]

(No. of candies) = 6 / 0.25

(No. of candies) = 24

[olive zephyr]

so 24 * 3/4 * 2/3 * 1/2 = 6

[stone shard]

yes

[olive zephyr]

24 * 0.25 = 6

ok but for A) how would I show how I got 24

[sullen echo]

That's what the equation is for

Have you learned basic algebra?

Like how to solve 2x+2=6

[olive zephyr]

2x+2-2=6-2?

2x=4

[sullen echo]

Ye just like that

In this case x is the number of candies

x * 3/4 * 2/3 * 1/2 = 6

[olive zephyr]

x=24?

[stone shard]

yes, and you get the answer for A

[sullen echo]

Just write the equation on the answer box and add comment "Solving this eq will show x=24" or smth like this

[olive zephyr]

oh okay

[olive zephyr]

in the answer box of A?