help-0

[ionic jewel]

yes

[vale wigeon]

eh?

@craggy dirge what did you calculate?

[ionic jewel]

presumably derivative wrt x at that point

[vale wigeon]

the direction they're looking for is the direction of the gradient

not just the axial direction corresponding to its greatest component

[ionic jewel]

ah

yes

[craggy dirge]

so basically

[ionic jewel]

i didn't think that through

[craggy dirge]

i just did partial derivative wr to x,y,z

and subbed in the points

and see which ones the greatest

is that wrong tho

[vale wigeon]

there exist directions other than ones parallel to the coordinate axes.

[craggy dirge]

hjere ill send the q agian

[vale wigeon]

there exist directions other than ones parallel to the coordinate axes.

[craggy dirge]

im only expected to state ones parralell to coordinates axes

sry i shouldve specified that

only k j and i unit vectors are stated

[vale wigeon]

?????

[fading zephyr]

yes, but you can construct other directions by taking sums of those basic directions

[vale wigeon]

uh

can you show the instructions which state that

[fading zephyr]

color me surprised

[craggy dirge]

or is it i - j

[vale wigeon]

hold up ok

so ∂f/∂x = sin(yz), ∂f/∂y = xz cos(yz), ∂f/∂z = xy cos(yz)

at x = 0, y = pi/2, z = 1 we get the gradient as (1, 0, 0) apparently

so your answer was correct but your method of 'just looking at what's biggest' was wrong

[ionic jewel]

so he got it right for the wrong reason

well he got it right based on the answer choice options

[craggy dirge]

what exactly is gradient?

[sterile relic]

partial dawivatives

[sly mantle]

the gradient of f is the vector whose entries are the partial derivatives of f

[craggy dirge]

oh so just (a,b,c) where a is partial derivative wr to x

and b is partial deritaive wr to y

and its basically a vector in every direction kinda

so it looks like a blanket or something?

[vale wigeon]

you overcomplicated it

[craggy dirge]

im still confused exactly why i cant look at which value is the biggest

[vale wigeon]

let's take another example shall we

g(x,y,z) = x^2 + 8y^2 + z^2

and the point (1,1,1)

[ionic jewel]

you could if you checked every one of infinite directions

[vale wigeon]

the gradient of g at this point is (2, 16, 2)

by your logic the direction of the fastest rate of increase would be j

but thats not the case

the function will increase faster if you follow the direction of (1,8,1)/sqrt(66)

which, granted, is close to j, but not equal

[craggy dirge]

but out of the x, y and z direction, the biggest value thing would work righht

i think i get it

if it was 0 16 0 it would be fastest in the y direction i assuime but the other numbers change its direction

i think

[vale wigeon]

IF you were constrained to only move parallel to the axes,

then yes

[craggy dirge]

okok i understand now

thanks!

[alpine sable]

Can someone explain extreme value tasks to me

First derivative of a function set equal to 0

Gives you a value or values for x, use those to find the y value and get point or points

Analyze around those points whether the function is greater than the value at that point or not to see if it's a min or max

Check for a second derivative to find if there are inflection points and set it equal to 0 to get x value or values

Use it to find the y value and get a point or points

Analyze around those points whether the function changes sign

Concave convex

Something

Yeah

[ionic jewel]

recorded math

[south marsh]

How do you do this?
One card is drawn from a standard deck of 52 cards. Find the probability of drawing a non-spade or a heart.

[ionic jewel]

heart is already a non-spade

[south marsh]

ohh

[ionic jewel]

unless it means non-spade and non-heart?

[south marsh]

how do u get the probability tho

[ionic jewel]

a standard deck of cards has 13 of each suit

that means 13 are spades

you do not want to draw a spade

that means there are 52-13 non-spade cards

then you can divide the number of outcomes you want (non-spade cards) by the total possible number or outcomes (number of cards)

[south marsh]

13/52 is the probability of the heart right?

[ionic jewel]

yes

[south marsh]

39/52 or 3/4 for non spade?

[alpine sable]

Yes

euler looking nice

Thanks

[south marsh]

13/52+3/4?

[alpine sable]

Well that just gives 52/52

[vale wigeon]

$P(A \cup B)$ should not be blindly replaced by $P(A) + P(B)$

[ocean seal]

Ann

[vale wigeon]

this only works if the events A and B are disjoint, which your two events are not

[south marsh]

oh

[vale wigeon]

bunny brought it up here

[ionic jewel]

$P(A\cup B) = P(A) + P(B) - P(A\cap B)$

what's the intersection command

[alpine sable]

$\cap$

[ocean seal]

bunny

[ionic jewel]

there we go

[ocean seal]

Em

[south marsh]

sorry it's kinda confusing for me

[alpine sable]

Non-spades are hearts clubs and diamonds

[vale wigeon]

haruka, can you repeat the problem statement?

EXACTLY as it was stated?

details are very important here.

[south marsh]

One card is drawn from a standard deck of 52 cards. Find the probability of drawing a non-spade or a heart.

[vale wigeon]

okay.

"non-spade or a heart" is the same as just "non-spade".

[ionic jewel]

i vaguely thought whoever wrote it meant non-(spade or heart)

since the actual meaning is kinda dumb

[south marsh]

idk tho it got me confused

[vale wigeon]

do you understand this? Y/N

[alpine sable]

It's a funny statement @ionic jewel

[south marsh]

maybe this one is the meaning of the statement

Is this correct?
One card is drawn from a standard deck of 52 cards. Find the probability of drawing a heart or a diamond.
= 1/2

[ionic jewel]

yes

[young glacier]

Anyone know what this symbol is called?

is it basically "not a subset"?

nvm it probably is

[ionic jewel]

yes

wait

no

[vale wigeon]

no, it's not 'not a subset'

it means strict subset

subset but not equal

[ionic jewel]

subset but not e

yes

exactly

[young glacier]

ah

that explains it, t y

[alpine sable]

is this linear or non linear

[sinful pike]

not really math but does anyone know what's the name of this thing in quantum? my book introduces it without any note and i'm confused

[ionic jewel]

those are not lines

unless it means the segment

[sinful pike]

oh this is in use sorry

[ionic jewel]

is it the $\in$ symbol?

[ocean seal]

bunny

[sinful pike]

yes x_x does it have a name?

[ionic jewel]

no it's $\epsilon$

[vale wigeon]

$\epsilon$

[ocean seal]

Ann

[vale wigeon]

it's just a greek letter

[ionic jewel]

i can't spell

[ocean seal]

bunny

[ionic jewel]

Epsilon yes

[covert breach]

Epsilon?

[ionic jewel]

yes

[sinful pike]

ohh

[covert breach]

Oh nvm someone answered

Looks a bit different tho tbh

[ionic jewel]

$\upepsilon$

[ocean seal]

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

[ionic jewel]

it's just different formatting

it's epsilon tho

[covert breach]

H

Hmm

Looked like

[sinful pike]

oh i found it i think it's this thing, knowing the name helped, thanks!!

[covert breach]

∈

The subset notation

[ionic jewel]

that means in, and it's not that

[covert breach]

Yeah that's epsilon for sure

[covert breach]

Is

[ionic jewel]

what

[covert breach]

I read it says it means is on wiki

We were taught as "belongs to"

[ionic jewel]

sure same meaning

i don't think it's only in sets tho

[teal sapphire]

Bunny

Took my final today

And got a 0 😭

[ionic jewel]

luisx6

:(

that's unfortunate

[teal sapphire]

I ended my school year with a C at least

[south marsh]

is this also 1/4?
When two coins are tossed the possible outcomes are exactly 2 heads, exactly 1 head or zero heads. Given that the probability of zero heads is 1/4 and the probability of exactly 1 head is 1/2, calculate the probability of getting exactly 2 heads.

[ionic jewel]

yes

[south marsh]

thank u

[harsh acorn]

Can someone explain what does question mean?

[alpine sable]

wo cao

[lapis harness]

continue the pattern

untill there are 11 layers

[alpine sable]

高考题吗？

[harsh acorn]

I am not chinese

[alpine sable]

i mean what is the formula for the nth layer tho

[harsh acorn]

Google translated it, they are not

[vale wigeon]

you want the surface area of the 11-layer structure...

okay, so you see how your thing is made of a column 11 blocks tall, surrounded by 4 triangular wings?

[harsh acorn]

yes

[vale wigeon]

each wing is a triangle of blocks arranged like this:

[image incoming]

[pliant harbor]

can someone please help me with this

[harsh acorn]

channel is occupied

please go to other channels

[pliant harbor]

o my bad

[lapis harness]

find the pattern

look for A_1

A_2

find A_11

[harsh acorn]

should I consider bottom area of cube too?

[lapis harness]

look for recurrence relation maybe

[harsh acorn]

bcs you know, it is occupied by floor technically

[vale wigeon]

this is the side view of one of your wings

[hybrid creek]

Perimeter : add the length and breadth twice
Area : 2 ( l+b )

[harsh acorn]

this side has 55cm^2 surface area

[vale wigeon]

yes, that is true

however your wing has more surface area than that

[harsh acorn]

and we have 8 side like that

[harsh acorn]

oh yes

I see it now

20 cm^2 too

[vale wigeon]

i suggest focusing on finding the SA of the whole wing

then multiplying that by 4

you have 20 faces (10 facing up, 10 facing outward) along the top and 10 along the bottom

which gives you another 30 cm^2 of surface area

[harsh acorn]

why should we consider bottom too

isn't it occupied by "floor"

[vale wigeon]

because the bottom is also part of the surface...

what isn't part of the surface is when the faces of two blocks are stuck together

[harsh acorn]

allright then
85*4= 340 and we have 5cm^2 extra for 1 cube there

[vale wigeon]

85?

[harsh acorn]

we had 55 from side of wing

[vale wigeon]

but each wing has two triangular sides

[harsh acorn]

ooh

[vale wigeon]

so each wing has an area of 140 cm^2

but yes, the topmost cube and the center of the bottom give you another 6 cm^2

[strong spear]

plz help

[alpine sable]

75 = 5x - 10

Corresponding angles

Extract the value of x from this equation

Then again

5x - 10 = 10y -25

Put the value of x in that equation

Extract the value of y

[alpine sable]

Can you follow me ?

[strong spear]

like add you?

[alpine sable]

Did you understand how to find the value of "x" and "y" from in here ?

[icy trail]

can you follow their working

[dense hatch]

Find the value of B in the partial fraction decomposition.

can u guys help ?

[brave solar]

what have you tried

[dense hatch]

im not a english native talker

so i dont know how to explain to you 😄

[vapid swift]

post a picture of your work

[dense hatch]

brrrrrrrrrrrrrrr

busted

[vapid swift]

do you know how to split a fraction into partial fraction?

[alpine sable]

use the cover up method

/search youtube cover up method

bruh

[short void]

How do I solve for this?

I tried to plug the values in my GDC and I am not getting a graph that looksl ike this.

[alpine sable]

perhaps u could first differentiate v by t using product rule in order to get dv/dt. as A and B are maximum and minimum points, dv/dt=0 so solve to get the coords of A and B rather than using the GDC.

also u could also play around with the window so set your GDC to the given range

[short void]

We haven't learned calculus yet. Is there another method to find the value?

[short void]

My GDC shows a straight line not a wave.. I tried changing the mode to radians.. and still messes up

How can you wake up asleep?

[alpine sable]

shhhh my name is a contradiction

[short void]

Wakey wakey

[alpine sable]

did u type into your calculator cosec as in 1/sin or cos

let me try

[short void]

I tried... if this is a calculas quesiton, then i don't think it is going to come up on the exam, as we haven't learnt it yet

[alpine sable]

did u happen to type in this eqn?

[alpine sable]

did u figure out how to start this? first u should factorise the denominator from x^2+10x+24 to (x+6)(x+4). From there you can use partial fractions where 2x+2=A(x+4)+B(x+6) and then you can compare the coefficients of x and the constants in the LHS and RHS in order to get A and B

[vapid smelt]

Excuse me, how should I factorise this?

[gray isle]

that is a quadratic in (a+b)

it doesn't have a nice factorisation, consider finding roots using something like the QF

[tawny lion]

google the intersecting chords theorem

[vapid smelt]

excuse me?
QF?

[gray isle]

quadratic formula

[vapid smelt]

oh

that one

[alpine sable]

what u can do to make it easier is to let a+b=t, such that the eqn becomes t^2+t-8

so that it’s much easier to see

[turbid tulip]

how would I rewrite this into a proper integral?

[gray gorge]

Why would you?

[turbid tulip]

To solve it

otherwise it's mathematically incorrect

same answer, sure

[gray gorge]

Wdym mathematically incorrect

[turbid tulip]

what would I even write it as?

if I were to solve it

[gray gorge]

Do you know what an improper integral is?

[turbid tulip]

Not really, but how would I write it even as an improper integral?

[gray gorge]

An improper integral is any integral that either has infinity as bound(s) or a value within the bounds of integration such that the integrand itself becomes arbitrarily large

[turbid tulip]

I see, thanks!

[sudden tulip]

for question 1

how should I simplify ?

[jagged trout]

x^(y + z) = x^y * x^z
(x^y)^z = x^(y * z)

[quick surge]

how D:

[alpine sable]

i hope this is easily understood! @quick surge

i think the difficult part was finding the slanted length for you so just use pythagoras theorem :))

[quick surge]

ty!!!!

[alpine sable]

have you found f(x)?

[jagged trout]

@sudden tulip
10^(3x + 1) => (10^3)^x * 10 => 1000^x * 10
4^(2x - 1) => (4^2)^x / 4 => 16^x / 4
5^(4x) => (5^4)^x = 625^x

[turbid tulip]

I haven't no, how would I do that?

[jagged trout]

looks a little bit like e^ix = cos(x) + i * sin(x)

[sudden tulip]

err wait

after that last line what should i do

[jagged trout]

Basiswechsel mittels Logarithmus wäre eine Möglichkeit

[sudden tulip]

i dont understand german

[jagged trout]

https://en.wikipedia.org/wiki/Logarithm#Change_of_base

[quick surge]

this channel busy

[jagged trout]

https://www.youtube.com/watch?v=XvwPB21Gm9A

[alpine sable]

@turbid tulip

i find that drawing the graph will normally help in most cases

[vapid swift]

@sudden tulip is the answer in terms of x for the first question?

[sudden tulip]

errr

find the value of 10^3x

[vapid swift]

can the answer be in terms of x ?

[sudden tulip]

nope

[vapid swift]

$10^{3x+1}=10^{3x}.10^1$

[ocean seal]

bratindra10

[sudden tulip]

it should turn out as a whole num,ber

since they are asking us to find the value of 10^3x

[vapid swift]

i'm getting $10^{3x}=\frac{10000^x}{40}$

[ocean seal]

bratindra10

[sudden tulip]

hmm

can we sub ?

cuz the answer is 64000

[alpine sable]

Can you give ma an example please

[jagged trout]

,w 10^(3x+1) = 4^(2x-1) * 5^(4x)

[vapid swift]

maybe try using this equation to solve for x and then find 10^3x

[ocean seal]

Results provided by WolframAlpha

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

Requested by Moriarty#2262

[alpine sable]

do u mean the entire qn from (a) to (e)?

[sudden tulip]

wait how did u get this

[vapid swift]

come to another channel

send the question there

[sudden tulip]

nvr mind got it alr

[vapid swift]

then np

[alpine sable]

ah i’m sorry i don’t think think i know how to approach this qn 🥲

[chilly panther]

The area under a curve is just the definite integral of the function of the curve on the interval [start of curve, end of curve] right?

[glass lichen]

bounded by the integration axis, yes

[boreal bough]

idk if this is the right channel, but is there a term for "greatest" like this in an equation/is this a math concept?

the bottom blurred out is an equivalent to "people"

[fading jay]

max or max abs

[arctic swan]

i'm absolutely lost at how to write the proof

[boreal bough]

thanks

[glass lichen]

what exactly are you stuck on?

[dense snow]

damn, ur handwriting is perfect

[alpine sable]

Hallo

im teaching myself calculus, i am able to get to the finial answer, but i cant understand the simplfication

[tawny osprey]

He basically took the minus to the numerator

[arctic swan]

sec(y) = 1/cos(y)

[alpine sable]

by doing that does that make it elegable for the sec

moving the negative up top that is.

my algebra skills are poor so im sorry

[steel junco]

if you multiple the upper side by -1 and the down side by -1, you multiplied all fraction to (-1/-1) = 1

[arctic swan]

(1-e^x)/-cos(y) -> (1-e^x) x -sec(y) -> -(1-e^x) x sec(y) -> (-1+e^x) x sec(y) -> (e^x-1) x sec(y)

[alpine sable]

and the fact that its just cos() as the dem makes it sec? or does it need the 1 on top. IM just curious if there is some sort of algebracis transformation if that makes snese?

[tawny osprey]

1/cos(x) = sec(x)

[steel junco]

/\ this

[alpine sable]

yes, i get that. i just wasnt sure if the negative needed to be played out first or not

on the -cos

[tawny osprey]

You need to learn trig

[alpine sable]

i understand that 1/cos(x) is the secent

and 1/sin is the csc

[tawny osprey]

Minus has no role to play

[alpine sable]

i was just curious about if you HAD to factor the negative on top or not

[tawny osprey]

It doesnt matter

[alpine sable]

okay 🙂 thank you. this is hard since i have no help

youtube video and some problems online lol

[tawny osprey]

You could always have -(1 - e^x)sec(y)

[alpine sable]

yeah, i honestly like that better.

makes more sense.

[tawny osprey]

All of the stuff is equivalent

[alpine sable]

am i allowed to ask as many questions as i got?

[vapid swift]

yeah if it is not for a test

[alpine sable]

nah im teaching myself because im interested

[south siren]

A tourist agency in California claims the mean daily cost of meals and lodging for family of four traveling California is at most $268. In an annual survey performed by the consumer protection advocacy you work for, a random sample of 45 families of four traveling California had a mean daily cost of meals and lodging of $277 with a standard deviation of $40. At α = 0.05, do you have enough evidence to reject the agency’s claim?

if anybody knows how to do this pls let me know.

Test the claim about the population mean μ using rejection region(s) or a p-value. that is what i am supposed to do for the problem

[night owl]

An important definition before we start.
The parity of a number is whether or not it's even.

An inductive proof involves showing that some property is preserved after a process, and then showing what that property was at the origin so that you know it works for the whole sequence.
We'll start by writing looking at the difference of (n+1)²+5(n+1) and n²+5n. This will help us on determine what happens to the parity of the function as we increase n by 1.
(n+1)²+5(n+1)-(n²+5n)=(n²+2n+1)+(5n+5)-n²-5n=2n+6=2(n+3)
As we can see, the difference is a a multiple of 2, hence it is even. As you probably know, increasing a number by an even number preserves its parity. So whatever the parity of the function is at n=0, will be what it is for all positive integers
0²+5*0=0
0 is even, thus the parity n²+5n is even for all positive integer values of n.

[queen wing]

Assuming normality and that 45 families is considered large enough a sample, obtained in a non-biased manner, you should have enough evidence.

[south siren]

I just don't know what I should put as my answer to that question

[queen wing]

Hold up. Why would 0.05 be the alpha and not the p value?

[south siren]

because it is asking if i would have enough evidence with an alpha level at 0.05

[queen wing]

The level of significance, or alpha value is the one within which the null is rejected.

[south siren]

oh well idk i suck at statistics

lmfao

[queen wing]

Let's ignore definitions and call that simply the critical value.

[south siren]

okay

[queen wing]

OK, I risk confusing you

[jade portal]

can some help me

[south siren]

bro i have been confused this whole year on statistics lmfaoooo

[queen wing]

The difference of the means is less than 0.05, but I can't promise that's enough to reject the null. I feel really dumb right now.

Oh, but it makes sense the alpha value is 0.05

Because it is the value within which we can reject the null.

It is a bit of an inverse application of what I usually do XD

[south siren]

😫

[lost whale]

can someone help me

[queen wing]

Well, you can see the point with your own eyes.

[lost whale]

i know

500,10

right?

[queen wing]

Yes

Well

[lost whale]

i just am having trouble with the slope

[queen wing]

Invert them

[lost whale]

okay

10,500

x axis first

[queen wing]

All I see is question a)

[lost whale]

i know

i need question a) to figure out the next

i just dk how to find the slope

bc i need 2 sets of points

[queen wing]

Of which one?

[lost whale]

wait no

i need to explain how i found it

how do i explain i saw it on the graph?

[queen wing]

OK, well, algebraically

[queen wing]

No

Take their two equations

Which you both have

[lost whale]

okay okay

[queen wing]

And set them equal to each other.

[lost whale]

how do i do that

im very horrible at math

okay

[queen wing]

But give him a chance first, G3o

[lost whale]

so you put the 50n with the other equation

[minor heath]

expressions, yea

[queen wing]

Yes, and you'll find n with the equality.

Once you have, plug it into one of the two original expressions to find C

[lost whale]

okay ill try

[queen wing]

Gosh, I still can't figure out what we need the standard deviation for here

It is basic statistics, and I feel so stupid.

Which hypothesis test do we use?

Difference between population means...

But how exactly...

[hazy cairn]

How would I go about doing this?

It's for a review quiz and something suggests the method is quite simple (2 marks)

but the only thing I have learnt is the solution to a call

[frank crown]

Hi there

If 5a+2b=123

What is min(b)

If a, b belongs to positive integers

[vapid swift]

minimum value of b?

[frank crown]

Yes

How can I get it

[vapid swift]

2b=123-5a right?

[frank crown]

Right

[vapid swift]

now since both a and b belong to positive integers 5a should not be greater than 123 right?

[frank crown]

That's right

[vapid swift]

for 2b to be minimum 5a should be maximum

[frank crown]

And 2b also can't be greater than 123

[vapid swift]

so think what is the maximum value that 5a so that it is less than 123

[frank crown]

When a is 24

[vapid swift]

yeah correct

but quite wrong since we have 2b on the right and it is saying b is positive integer

so think again properly

[frank crown]

So 5(24) +2b=123

2b=3

[sleek osprey]

8008135

[vapid swift]

then you get b=3/2 which is not an integer

[frank crown]

Right

So let's try 19

[sleek osprey]

no, left

[vapid swift]

why 19

[frank crown]

23

[vapid swift]

yeah now tell me what you get for b

[frank crown]

115+2b=123

So b will be 4

[vapid swift]

yeah done

[frank crown]

Thank you so much

[vapid swift]

np

[rustic coral]

hi

Can i get help finding the loss

i found profit

idk how to find loss

[vapid swift]

they said find profit or loss percent

since you got profit find the profit percent

[unique tapir]

@vapid swift can u help me?

[vapid swift]

is this an exam?

[unique tapir]

no

it ixl

like

learn it

[vapid swift]

so how do you write t to then 4th power?

[unique tapir]

t^4x2

?

[vapid swift]

slightly wrong

$2t^4$

[ocean seal]

bratindra10

[unique tapir]

it said it was correct

no

it want me ti

write out the

ex0ression

[vapid swift]

this is the expression tho

[rustic coral]

the second question was finding the profit

the teacher wants us to find the loss

[unique tapir]

yes

i got it correct

[vapid swift]

okay

[vapid swift]

,rotate

[unique tapir]

divide the difference of 7 and m by n

[frank crown]

What is that

[wary stream]

What on earth is that notation? With the T bar

[frank crown]

Which lesson

[vapid swift]

but you only sent the fourth question and in this question there is no loss

[frank crown]

I have no idea

[vapid swift]

i don't know what that is too

[rustic coral]

oh well ill just write the same answer then, thanks

[vapid swift]

np

[wary stream]

@sly mantle Sorry to ping you into this channel, but do you know what that T bar denotes? Because I haven't seen that notation before

[frank crown]

I just wanted to know the name of the lesson

[unique tapir]

why no one help me

[wary stream]

Don't know what the lesson is if I don't understand the notation that it gave means

[frank crown]

OK thanks

[sly mantle]

it's unfamiliar

[unique tapir]

someone

[wary stream]

@alpine sable Would you happen to know what this T bar notation is? That person who asked for assistance on this question is wondering what lesson this is but I'm not sure since I've never seen that T bar used before

[alpine sable]

@small holly

[small holly]

oh alright

1/2*6(x+4)=42 is fine right?

[ocean seal]

Πολλά άτομα είναι

[alpine sable]

Yup

solve for x

[small holly]

yup

[alpine sable]

No idea man

Most relevant video I found was

https://www.youtube.com/watch?v=EoB1m8WlQc8

Does it work like the long division

[jade portal]

hi is this channel free?

[vapid swift]

first time seeing this lol

[alpine sable]

yup same

[alpine sable]

Yeah I believe so

[alpine sable]

just look at the time stamps of the previous messages

[small holly]

I did:
1/26(x+4)=42
1/26x+24=42
6x+12=42
6x=30
x=5
but the answer is 10

[jade portal]

i need help finding the eqauation

[alpine sable]

,w 42=1/2*6(x+4)

[ocean seal]

Results provided by WolframAlpha

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

Requested by Tasmav#3708

[small holly]

ohh tyty

[wary stream]

When you divided by two, you only did 24/2 and forgot to do (6x)/2

[alpine sable]

So practically has the same day hrs as earth

So what you have to do is

[jade portal]

can u please provide me with an equation

im so lost

[alpine sable]

ok well look at the third-fourth sentences

in that info paragraph

The planet has a day length of 24 hrs

the second sentence is just a waste of time

Ehh sorry to interrupt but could u guys help me?.

At hours 0 the island has the 100% of the light with the planet's star in the top of the sky.

[wary stream]

Not in this channel

[alpine sable]

Ok.

[wary stream]

Because it's being used

[alpine sable]

Which then

12 hrs later half of the light is casted on the island

So you know make something out of that

[wary stream]

I think #help-6 is free

[alpine sable]

when a new day starts 100% of all light emitted from the source is casted on the island

when half that day goes by 50% of light emitted from the source is casted on the island

How to find A and B

channel taken

[alpine sable]

But you have a system of equations (simultaneous equations)

use elimination or substitution

[jade portal]

bro im sorry im so slow

i still dont get it

[alpine sable]

@wary stream mind if you help this dude rq

imma just check on the guy in #help-5

[wary stream]

Which person? Dior?

[alpine sable]

ok back

yeah dior

ok look

Your function L(t) (L of t), where L is the function name which denotes light and t denoted time that has passed (per hr).

When $L(0)=100\%$; when it's the zeroth hour in that planet, $100\%$ of all light emitted from the star is casted upon the island, and when $L(12)=50\%$; when half a day has gone by $50\%$ of all light is gone, and you know that there are 24hrs in a day in that planet.

[ocean seal]

Πολλά άτομα είναι

[jade portal]

so how will i plug these into an equation

[alpine sable]

You gotta make it

You have to find the relation

which I already have provided you with

[jade portal]

P=k.sin(π/2+24t)?

[frank crown]

I don't think this is a T-bar lesson

[alpine sable]

How'd you get that

[jade portal]

from the text book

[frank crown]

OK x*y=252 but what about _ y in the bottom

[alpine sable]

i don't get it. What's P? what's k? why'd they use the sinus function? why halve pi?, but 24t I get

[jade portal]

bro im so confused

so what would the equation look like

[frank crown]

I think it means xy-y=252

[alpine sable]

Ok I'm actually confused myself now

[frank crown]

And the other one means 6y-5=x

When I solved it that way I get y equals 7 or - 6

[jade portal]

can u please write out the eqaution

[frank crown]

X equals 37 or - 41

[lofty kelp]

@frank crown can u help me?

[wary stream]

Draw a diagram

[lofty kelp]

ok

is this right?

[alpine sable]

can you help dior

my brain is like mega fried

[minor heath]

778 is one of the bases, not the hypotenuse

[alpine sable]

and for some reason I can't make a function

[wary stream]

Wouldn't 39 be the other angle?

[lofty kelp]

is this right?

@minor heath

[minor heath]

778 and x are each the bases and 39 is the other angle

[feral grotto]

if there were 5 cards and there's a 3% chance that a card will be red, what's the total probability of getting at least one red card out of all 5 cards

[minor heath]

channel occupied. can you go to an unoccupied channel for your question

[frank glade]

15 I think
but I still doubt the question

[frank glade]

like if there were 5 cards, and only one was red, there still would be a 20% chance that card would be red. 3% doesnt make any sense

[feral grotto]

ok let me rephrase it

If there were 5 dice what's the probably of at least one die rolling on a 6

[arctic mulch]

can someone help with hw please

[feral grotto]

nvm, found out how to do it

[pastel jasper]

A few questions 🙂

• What do you call a vector perpendicular to another vector in english?

• How do you write a (such called) vector

• How do you write a unit vector

thanks

I'm getting a little confused since i've seen the same way to be used for both

[woeful pulsar]

1. there's orthogonal
2. $\overrightarrow{a}\perp\overrightarrow{b}$
3. $\hat{a}$
   ??

[ocean seal]

Element118

[pastel jasper]

THANKS

[woeful pulsar]

what have you tried here?

[young finch]

a proportion but that definitely did not work

[woeful pulsar]

how did you do the proportion?

[young finch]

the answer is 1080 kernels but i want to know how

i did 320/1=x/1.5

[woeful pulsar]

hmm

I see

by "similar" they meant "similar shaped, scaled up"

you may assume Maurice is 3-dimensional

[lean gust]

How calculed the lim x--->0 of (cosx-1)/x with the rate of increase

[young finch]

channel in use

[woeful pulsar]

like similar triangles

so the volume does not just increase by a factor of 1.5

[young finch]

isnt it one of those things where when scaled up the area is the scale factor squared for the bigger shape

so is it the scale factor cubed?

[woeful pulsar]

yeah, you got it

try it out

[young finch]

ok

ayyyy got 1080

thank you for helping me understand, goodbye

[woeful pulsar]

what have you tried here

derivative?

[lean gust]

Non i use f(x) -f(a ) /x-a with a =0

I have a fi of 0/0

[woeful pulsar]

so you are trying to calculate the derivative?

using the limit definition?

[lean gust]

Yes

[woeful pulsar]

what definition do you use for cos x

hmm..., try this?

$\lim_{x\rightarrow0}\frac{\cos(x)-1}{x}=\lim_{x\rightarrow0}\frac{\cos(x)-1}{\sin^2(x)}\times\frac{\sin^2(x)}{x}$

[ocean seal]

Element118

[woeful pulsar]

@lean gust

the first term should simplify nicely, the second term should have a limit you can find

[lean gust]

Yes sin(x) /x when x--->0 equal a 1

[woeful pulsar]

it's sin^2(x)

[lean gust]

It the same i think?

Non it 's equal a 0

[dry vine]

I need some help

[woeful pulsar]

yeah, then the first term should be relatively straightforwards to simplify

[woeful pulsar]

what have you tried

[dry vine]

just dont understand which unit I need to find and if it is the hypotenuses or a leg

[woeful pulsar]

try drawing a diagram?

[lean gust]

But finally that give a fi infini*0

[alpine sable]

Q13

Why was there a 2A

[pearl marlin]

Hint n is 8

[woeful pulsar]

wait how does that give that

[alpine sable]

Tried that

[woeful pulsar]

that's the sum, can you show what you tried?

[pearl marlin]

Sory that will give you sum

[woeful pulsar]

adding both together

[alpine sable]

What about b

[woeful pulsar]

?

(A+B)+(A-B)=2A

[alpine sable]

Is that a formula ?

For that

Okok

Thanks

[hasty grail]

Does anyone know how to calculate the curve?

[alpine sable]

@pearl marlin

[pearl marlin]

Try this S8-S7 = eight term

[alpine sable]

Oh ok thanks

[woeful pulsar]

+1

[frank crown]

How can I get this minimum

[woeful pulsar]

+1 (to the equation)

[pearl marlin]

Lable the diagram ,then it will be easy to tell you how to proceed

[hasty grail]

Wdym?

[frank crown]

@vapid swift please help me in this

[frank crown]

Anyone help me in this

[woeful pulsar]

add 1

[fathom echo]

need help understanding what to do

I found slope but dont know how to write an equation relating t and h

[charred flint]

@frank crown see the chinese remainder theorem

@fathom echo the equation will be h = slope * t + constant

you can find the constant by plugging in the numbers in the question to the equation

[fathom echo]

and also im confused on the answer

because the slope should be 67/10

[charred flint]

oh seems like 67/10 is wrong

(71-41) / (22 - 12)

[fathom echo]

aaahh

I wrote 71-4

tysm

[hasty grail]

?

[alpine sable]

yup

just find the length of the arc

and that's about it really

[hasty grail]

That's where I'm stuck cause I don't know how to get the angle of the arc

I know how to calculate it if I've had the arc

[ocean seal]

Πολλά άτομα είναι

[alpine sable]

Central angle has the same measure as the intercepted arc by the radii

and vice versa

[hasty grail]

Wdym?

[alpine sable]

what i said is what i mean

central angle measure = measure of arc

Search up Central Angle

look at the top 2

if the inscribed angle (angle at circumference) is half that of the intercepted arc by the chords

it would also be half the central angle

as you know central angle = intercepted arc

obviously they have to constructed by the same chord and intercept the same arc

[hasty grail]

Ohh okay

[alpine sable]

Channel tken

but you could rewrite some surds

[obtuse flint]

can anyone tell me what im doing wrong

[alpine sable]

then obviously rationalise the denominator through binomial conjugation

[alpine sable]

where's your work

,rccw

[alpine sable]

Ok before we do anything

[ocean seal]

Πολλά άτομα είναι

[alpine sable]

So what could that be written as

[obtuse flint]

its route 36 route 5

[alpine sable]

So just sub in your vals now

[alpine sable]

*root

[alpine sable]

and yes

which leaves us with 6 root 5

[obtuse flint]

simplified to which is 6 route 5

[ocean seal]

Πολλά άτομα είναι

[alpine sable]

Ok now since we done that

we can start rationalising the denominator through binomial conjugation

Ok everything seems ok

lemme do it rq

[obtuse flint]

i made a mistake with the dividing at the end

[ocean seal]

Πολλά άτομα είναι

[obtuse flint]

This is my answer lmk if I got it right

[alpine sable]

ok so you found your mistake

[alpine sable]

(still not done yet, just wanted to send it)

ok yeah that's good

[obtuse flint]

how do i do that

[ocean seal]

Πολλά άτομα είναι

Πολλά άτομα είναι

Πολλά άτομα είναι

[obtuse flint]

thanks

much appreciated

[alpine sable]

no worries

[obtuse flint]

would i do this for all these types of surds question where it wants it in that form

[alpine sable]

sure

you'll just need to familiarise yourself with fractional rules

and how else they could be written as

and yes I mean there are a lot

like a lot lot

[merry burrow]

Can anyone help

[tight minnow]

Well you can figure out the y-intercept by looking at the table

The y-intercept is the value when x is 0

[merry burrow]

Y is 6

[tight minnow]

So that eliminates two choices

[merry burrow]

Yep

So second and last one is left

[tight minnow]

Plug in values for x

In the remaining equations

[merry burrow]

What’s value for x?

[tight minnow]

Plug in 4

And see if y comes out to be 14

[merry burrow]

So it’s 4x now

[tight minnow]

No

[merry burrow]

Wait 8x for the last one

Yea it becomes 14

[tight minnow]

So the answer is...?

[merry burrow]

Oh the last one

[tight minnow]

Yep

[merry burrow]

Thanks

[tight minnow]

Ur welcome?

[merry burrow]

I meant to put !

[tight minnow]

Oh

[merry burrow]

Press the wrong thing lol

[proper karma]

Can u help me out rq?

[tight minnow]

I'll try

[alpine sable]

trig ratios

[merry burrow]

What grade math is this

[proper karma]

10th

[tight minnow]

Sin is opposite over adjacent

[merry burrow]

Sheesh

[alpine sable]

10th?

fr

[merry burrow]

Well I’m going

[proper karma]

Yeah fr

[alpine sable]

I learnt that when I was

12?

[proper karma]

Damn

[merry burrow]

;-;-

;-;-;-;-;-;

[tight minnow]

Find cos first

[proper karma]

I dont' understand it at all

[alpine sable]

Ok remember your trig ratios

guys

abbreviated to

"SOHCAHTOA"

im literally learning math i don't learn in class

[alpine sable]

you're not the first

oh

epic

many people are

[obtuse flint]

For this type of question

[alpine sable]

yep

[obtuse flint]

How do I find the percentage profit

[alpine sable]

It's the difference of revenue and cost divided by revenue

[tight minnow]

Can someone help with this?

[obtuse flint]

So 2 divide by 10

[obtuse flint]

Then times 100

[alpine sable]

great i found this server

now

itsepicness

[obtuse flint]

yh

i got the answer

[ocean seal]

Πολλά άτομα είναι

[alpine sable]

or you could

[tight minnow]

Well we are learning about geometric sequences

So it may involve the formula for geo sequences

But I don't know how to apply

It

[alpine sable]

Well

So I wouldn't understand how you'd use it here myself

[ocean seal]

Πολλά άτομα είναι

[alpine sable]

but

[tight minnow]

An = 1.01An-1 - 100

I used this

And was able to get 1839.20

An-1 is A sub n-1 meaning the previous term

[unique tapir]

pls

help

someone

[alpine sable]

whats An

1.01An

whats that

[scarlet spire]

short for answer? idk lol

[alpine sable]

answer would be abbreviated to ans

[scarlet spire]

true

[unique tapir]

can someone help me

[unique tapir]

can u help me

[alpine sable]

Hey

[alpine sable]

ok how many candies does she have

[scarlet spire]

how many candies does she have to start

[alpine sable]

It's ezz

[scarlet spire]

wow

[alpine sable]

It's oral q

[scarlet spire]

you are so smart i wish i was like you

[alpine sable]

Come on.

[scarlet spire]

unfortunately i cant carry you around and get you to answer every math question

[alpine sable]

@unique tapir

@alpine sable yeah no we don't do that here

we don't give out answers

[alpine sable]

Uh I'm sorry, but then what we do here?

[scarlet spire]

teach

[alpine sable]

Oh I see

[alpine sable]

Explanations

Alright

Reasonings

Procedures

Ok ok got it.

I mean sure you could give an answer

I'm sorry. @scarlet spire

but you'll need to at least give them an explanation to why

it is

[scarlet spire]

its not okay 👿

repent for your sins

[alpine sable]

Uh, how?

prove an unsolved conjecture

[alpine sable]

There is no maths in it, just understand the words and you are good to go.

[alpine sable]

Well yes

There is no math, but you'll need to convert vocabs to math

you'll need to interpret it

easy is relative

What should I explain that if I eat 9 candies, those candies are going into my stomach and hence we can substract it. Sounds distorting.

[merry burrow]

Pls

[ocean seal]

Πολλά άτομα είναι

[alpine sable]

@merry burrow

[merry burrow]

Mhm

Is that the way to do it

[alpine sable]

I mean

yeah

[merry burrow]

Oh ok

Let me try

[alpine sable]

Do you understand it though?

[merry burrow]

Not rlly lol

Wait is the slope -3

[young finch]

nope

[merry burrow]

Dang

[ocean seal]

Πολλά άτομα είναι

[obtuse flint]

I was doing this today in class

Can anyone help

[merry burrow]

How do I do it

[young finch]

so y2-y1/x2-x1

[merry burrow]

Mhm

[alpine sable]

Pick 2 coordinates

and use the equation respectively

[merry burrow]

-2 and 3

[young finch]

yea what he said

[alpine sable]

apply the corresponding coordinates in it's designated spot

[alpine sable]

Ok that's 1 coordinate

[merry burrow]

So 3 goes on top -2 go’s on bottom

[young finch]

so 3-y1/-2-x1

pick a second set

[merry burrow]

-1 and 1

[young finch]

3-1/-2--1

so whats the slope?

[merry burrow]

Oh wait

Wait let me get da paper

Is this wrong

Sorry for sideways lol

[young finch]

huh

where did this come from

[merry burrow]

Uhh

Then let me just do it again

[young finch]

its 3-1/-2--1

[frank crown]

2/-1

[merry burrow]

Is the answer -2 @young finch

[young finch]

yesss

[merry burrow]

LESSS GOOOO

Thx bro

[young finch]

gg

[merry burrow]

Didnt f myself

[alpine sable]

convert y=4x+-6 to standard form ( Ax+By+C=0 )

[hallow skiff]

Solve the equation if 0 degrees<=x<=360 degrees 1. cos(x) = -√2/2 2. tan(x) = -2.8.

[alpine sable]

Can someone help me

[dry berry]

$\cos(2\theta) = 1 - 2\sin(\theta)^2$\

[ocean seal]

gansta

[alpine sable]

convert y=4x+-6 to standard form ( Ax+By+C=0 )

[dry berry]

i will put it here if anyone interested in 😎

[merry burrow]

@young finch

I love you so much bro

[young finch]

sus

[merry burrow]

I got a 80 on my test cause you

[alpine sable]

👀

[young finch]

nice! gj

[alpine sable]

You just sat a test

?

[wary stream]

You asked questions about a test?

[alpine sable]

[merry burrow]

No it was a study guide

I did the study guide then went to the test

[young finch]

so you learned how to do the stuff on the test like 10 minutes before lol nice

[merry burrow]

Yes and yes

[civic gyro]

I have 2 Nodes 1 Points and an edge connecting between the nodes.
Nodes: N1 = (2,5), N2 = (6,3)
Point: P1 = (3,4)
There is an edge between N1 and N2. and the edge has a width of "w".
My question is how can I check if a point lies within the area of the edge of the nodes N1 and N2

[native temple]

How to find Foci?

[merry burrow]

What grade math is that

[wary stream]

You can probably look up the equation on Google

[native temple]

it’s for school

please help

[wary stream]

Google the equation?

[alpine sable]

can someone help me with 2 problems, im not sure how to set them both up\