help-0

[alpine sable]

can anybody help

A bus travels 40kms in 30 minutes. If the speed of the bus remains same, how far can it travel in 3hrs?

[twin haven]

find out in 1 minute

[quiet crown]

wait

[alpine sable]

?

[quiet crown]

it's doing 80km an hour

times 3

is uh

240

[alpine sable]

No this is direct variation

[twin haven]

yeah

[alpine sable]

i am doing tabulation form

[quiet crown]

It travels 240km in 3 hours

oh

[alpine sable]

we need to do tabulation

plz tell

hw

how

[twin haven]

x1/y1=x2/y2

check by this

[alpine sable]

i did 30/40 = 3/x answer came 4

[twin haven]

convert hours into minutes

[alpine sable]

3 hours is?

60x3

pk

[twin haven]

180

[alpine sable]

,calc 180*40

[ocean seal]

Result:

7200

[twin haven]

30/40=180/x

[wanton smelt]

how do i solve arcsin x - arccos x =0

[alpine sable]

80 km?

[twin haven]

um you did it wrong

[alpine sable]

ruh

bruh

then?

[twin haven]

40/30 = x/180

40/30 = 4/3

[alpine sable]

x/180?

i did 180/x

[twin haven]

you can do either way

[alpine sable]

then what is the answer

is it

80

or 240

[twin haven]

its 240

ill show you by your way

you took 30/40 right?

30/40 = 180/x.

[twin haven]

get this much?

[alpine sable]

A work force of 420 men with a contractor can finish a certain piece of work in 9 months. How many extra men must he employ to complete the job in 7 months?

[twin haven]

@alpine sable

[alpine sable]

i got 240

[twin haven]

its wrong again

[alpine sable]

BRUH WHAT DO U MEAN

[twin haven]

oh sorry

[quiet crown]

https://www.cymath.com/answer?q=30%2F40%3D180%2Fx

[twin haven]

read the question wrong

[quiet crown]

Idk if this helps explain it

[alpine sable]

answer is correct

i guess

A work force of 420 men with a contractor can finish a certain piece of work in 9 months. How many extra men must he employ to complete the job in 7 months?

[twin haven]

yeah its wrong

[alpine sable]

pls help

this one

[twin haven]

see

x1 y1 = x2 y2

[alpine sable]

tell the number

[gray wind]

i got my algebra finals in a bit and idk nothing like 0%

😭

[twin haven]

so if we put 420= x1
9=y1
y2=7
and need to find x2

[quiet crown]

lol

Well quickly practice the stuff you don't know

and post here for help

[gray wind]

aight

[twin haven]

so we get (420x9)/7=x2

[alpine sable]

where did 420 and 9 came from

[twin haven]

420 men took 9 months

its inverse proportion

[alpine sable]

oh 3rd question

[twin haven]

this one

i have to go, so you'll get x2= 540, and since it asked for how many extra men you'll get 120 .@alpine sable

[alpine sable]

,calc 420*9

[ocean seal]

Result:

3780

[alpine sable]

,calc 3780/7

[ocean seal]

Result:

540

[alpine sable]

so x2= 540?

[quiet crown]

by x2 do you mean 2*x or like x squared

[alpine sable]

no just

x

not xsuqare

answer plz

[quiet crown]

Area of a circle

circumference

Substitute 10 into the circumference formula

[alpine sable]

@twin haven x2= 540?

[quiet crown]

...

its

31.4159 aprrox

Option B in your case

wtf

No

By option b i mean the second one sorry

the 31.4mm

Yes

If you do the maths it will spit out 31.4

Wait

Is this an exam?

<@&268886789983436800>

Sorry bud that's against the rules

[sly mantle]

b&

[quiet crown]

Thanks mate 🙂

[wanton smelt]

lmao can someone help with this im baffled

[quiet crown]

it equals 2

so x^2

x^2 = 16

you can either use logarithmic or square root to solve

[gray isle]

so blurry

[wanton smelt]

ikr

[gray isle]

what's that thing under the root

[wanton smelt]

i think thats root3

its a guess tho

[quiet crown]

its 2

its 1 + log 2 (sqrt(4))

so it evaluates to x^2 = 16

[wanton smelt]

ok pog

[quiet crown]

I believe it's sqrt(4)

Yeah

[wanton smelt]

i have

no idea

[quiet crown]

I think it's means it's a ratio or sum

idk

wait nvm it means vertical ellipsis

[gray isle]

in this context i means "is divisible by:"

[quiet crown]

oh fair

[gray isle]

and the condition implies that n is also an integer

[sharp sail]

Probably, it means prove 10^n + 18n - 28 is divisible by 27 for all natural numbers N

[tough hatch]

that looks more like x than 4
note the font used for x

im referring to the radicand

[wanton smelt]

It be what it be

Teacher should've sent higher res photos tbh

[tough hatch]

yeah

[oak chasm]

Should have used LaTeX.

[ivory otter]

hey

so

dont really understand what they want me to do hear

im just learning vectors

i know what the triangle law of addition is

its just vector1 + vector2

and then we get the resultant vector

[rigid smelt]

for example vector AB + vecto BC=vector AC

thats the triangle law

[ivory otter]

ok wait

is

vector AC + CD = AD ?

[rigid smelt]

no, be careful of the direction

[ivory otter]

ye i know whaat you mean, but according to the book AC + CD = AD was one of the solutions

i know that if the vector goes down its like a minus

but idk why they say it is

[rigid smelt]

oh wait

CD is pointing down

[ivory otter]

ye

shouldnt that be subtraction?

[rigid smelt]

then yeah its correct

no

[ivory otter]

so what you mean is that i cant add AC + BC = AB ?

[rigid smelt]

you can

[ivory otter]

because the arrow is goig to the same direction?

[rigid smelt]

i mean you can add them

but they will not equate AB

[ivory otter]

why?

is it because its like redundant ?

[rigid smelt]

because according to the triangle rule, the resulted vector is not AB

[ivory otter]

two magnitudes going against eachother?

[rigid smelt]

im not sure redundant is a good word

[rigid smelt]

no thats not the problem

the problem is that when they added, they result in another vector thats not vector AB

you have to follow according to the triangle rule

in my country there is also another rule which is also called the parallelogram rule, im not sure if you have this in your country

[sharp sail]

That is much easier lol

tho it emerges from triangle law

[rigid smelt]

it is technically the triangle law

but rearranged

[ivory otter]

but im confused how it doesnt result in another vector that is AB

[sharp sail]

triangle law, but clever

[ivory otter]

because it does result in AB

AC + BC = AB

[rigid smelt]

...

[sharp sail]

Join Vectors from head to tail

[rigid smelt]

this would, somewhat, be the resulting vector

do you believe me now?

[ivory otter]

Ok there is something i must have missed learning this

[rigid smelt]

like i said you have to follow the triangle rule

[sharp sail]

you'll have to shift bc further to join tail of BC to head of AC

[rigid smelt]

if you want to add AC and BC, you have to translate BC such that the head of AC meets the tail of BC

[ivory otter]

Aaaaah

Now i seeee

[rigid smelt]

or if you know the parallelogram rule, or whatever its called idek, you can see that vector BC is also vector AD

so AC+BC=AC+AD

and acoording to the parallelogram rule, the resulting vector is the diagonal of the parallelogram with sides AC and AD

[ivory otter]

I see

[ocean seal]

ajuze

[alpine sable]

doesnt this mean that there are no critical points cuz the gradient is never 0?

[alpine sable]

resolved

[long oracle]

does a right angle triangle always have the opposites and adjacent side the same for hypotenuse. like how if you have a hypotenuse of 5 the other sides are 3 and 4. is it always 3 and 4 or could there be any other combination to make 5

[tough hatch]

a hypotenuse doesn't have an adjacent or opposite SIDE, but it does have an opposite ANGLE

[long oracle]

mb

i mean

the other sides

of the right angle triangle that arnt the hypotenous

[tough hatch]

nope, that would mean the right angle would be adjusted so u can have different lengths

[long oracle]

damn

[tough hatch]

hence no more right triangle

[long oracle]

https://cdn.discordapp.com/attachments/661176436480016385/856806937198198794/IMG_5735.jpg

tryna solve O to R

[tough hatch]

it is blurry

[long oracle]

diagram kinda scuffed though

yh

PQ is 50m

OQR is 30 degrees

OPR is 60 degrees

and POR, QOR and POQ are 90 degrees

[tough hatch]

angle of DEPRESSION from the top of the tower

a typo

[long oracle]

wdym

would it make a difference because you are trying to find OR

[tough hatch]

angle of elevation is different from angle of depression

[long oracle]

yes but you will end up with the same three triangles

hence not changing the value of OR and the other triangles

just the orientation would change

and why is it an angle of depression

the questions says angle of elevation

[tough hatch]

yeah the wording is just bad

angle of elevation from P to the top of the tower is 60°

i actually only need a 2d diagram for this

[long oracle]

a 2d diagram ??

yh

all good

[tough hatch]

what is R in the diagram for?

[long oracle]

the top of the tower

[tough hatch]

ok, u need to say that

explicitly

and the way u drew ur angles is wrong

[long oracle]

oh

[tough hatch]

the a.o.e. from P to R is 60°

a.o.e. from Q to R is only 30°

[long oracle]

yh

i did that right

[tough hatch]

wait nvm

[long oracle]

RPO = 60
RQO = 30

[tough hatch]

i was confused by the diagram

[long oracle]

yh mb

[tough hatch]

i get it now

[long oracle]

shit camera

[iron parcel]

hey

what is a-15/a =5/6

am confuse

[tough hatch]

what angles did u write at the top?

[long oracle]

30 and 60 since angle sum of triangle

and the triangles are all right angle

could we maybe use trig

[iron parcel]

nvm found it

was 90

[long oracle]

since its the special trig triangles

[grand tartan]

How

[long oracle]

questions says to express answer in exact form with a rational denominator

[iron parcel]

well

i did 15 x 6

cross multiplication

[tough hatch]

care appropriate grouping symbols i.e. (a-15)/a

[calm topaz]

Who wants to take a guess at what I am trying to solve.

[nova dune]

too blurry

[calm topaz]

Really?

[iron parcel]

honestly i panicked and did random shit till i found the answer

[nova dune]

idk, some ellipse equation

[iron parcel]

5 minutes due assignment lol

[calm topaz]

Nu

[nova dune]

wat is it?

[iron parcel]

cure 2 cancer

[calm topaz]

Here more

[iron parcel]

beats me

[torpid delta]

There is none

I mean there is, but you probably won't like it

Ahhh

$[f(g(x))]' = f'(g(x)) \cdot g'(x)$

[ocean seal]

TC159

[torpid delta]

@alpine sable anything else? 🙂

basically

f(g(x)) is the composite function

$[(f \circ g)(x)]' = (f' \circ g)(x) \cdot g'(x)$

[ocean seal]

TC159

[torpid delta]

Maybe you understand better with this notation?

f'(g(x)) = the derivative of f evalulated at g(x)

it's not the derivative of f after g

$[f(g(x))]' = f'(g(x)) \cdot g'(x)$

[ocean seal]

TC159

[torpid delta]

Anyway this is basically it, If you want i can give you a simple proof by definition

The derivative of the composite function

the derivative of: the composite function: f after g

the derivative of: f evaluated at g(x)

All of these are equivalent, choose the one that you prefer ^^

$h(x) \coloneqq f(g(x))$

[ocean seal]

TC159

[torpid delta]

$h'(x) = \lim_{\delta \to 0} \frac{h(x+ \delta) - h(x)}{\delta}$

[ocean seal]

TC159

[torpid delta]

How do you define them?

You probably just use a change of variable

[ocean seal]

69420

[torpid delta]

$\Delta y = y_2 - y_1 \ \Delta x = x_2 - x_1$

[ocean seal]

TC159

[torpid delta]

If there's a function f such that y = f(x)

[ocean seal]

69420

[torpid delta]

That's actually wrong

That's a wrong definition

You can't take the absolute value

Yes, but you can't take the absolute value

because the quotient of two positive values is always positive

and the derivative can be negative at a point

Who taught you that definition?

Anyway, in calc 1, y is often times an image of x through some function f

so we can rewrite that as $\Delta y = f(x_2) - f(x_1)$

[ocean seal]

TC159

[torpid delta]

So you have $f'(x) = \lim_{\Delta x \to 0} \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

[ocean seal]

TC159

[torpid delta]

Exactly

[ocean seal]

69420

[torpid delta]

let's now make a change of variable since x_2 - x_1 -> 0 doesn't make much sense

since you have 2 variables

$\delta \coloneqq x_2 - x_1 \iff x_2 = x_1 + \delta$

[ocean seal]

TC159

[torpid delta]

Alright cool?

so you have that

$f'(x_1) = \lim_{\delta \to 0} \frac{f(x_1 + \delta) - f(x_1)}{\delta}$

[ocean seal]

TC159

[torpid delta]

substitute x_1 for an arbitrary value (x) and you have:

$f'(x) = \lim_{\delta \to 0} \frac{f(x + \delta) - f(x)}{\delta}$

[ocean seal]

TC159

[torpid delta]

Basically

[alpine sable]

Can anyone explain me what is that

[torpid delta]

definition of derivative at a point

in this case the derivative of f at point x

$\frac{\dd}{\dd x} f(x)$

[ocean seal]

TC159

[alpine sable]

Find the first term, formula of the nth term and the 20th term of these
a.5,10,15,20
b.2,-1,-4,7
c.3,6,9,12​

What d u guys think, is this arithmetic sequence or gemetric sequence? I think this is arithmetic

[stark trail]

This is arithmetic

[alpine sable]

Ok thanks

[gray wind]

can someone help me with these 2

<@&286206848099549185>

[alpine sable]

y=9 for the 2nd one

how do i solve this?

<@&286206848099549185>

[upper ember]

ok firstly, dont ping instantly

wait for 15 minutes, then ping once

also, in this question

what do you think we should do?
or what do we have to do?

[alpine sable]

can anyone help me with this, its a complex number equation

[tough hatch]

?

[minor heath]

just know that complex equations or expressions include i, or the imaginary unit, which is equal to sqrt(-1)

[gray wind]

does anyone know what do with this

[alpine sable]

should i use the root of a complex number formula

[minor heath]

just manipulate the equation

[alpine sable]

z^2=-1

[minor heath]

yep and then

[alpine sable]

and then countinue?

[minor heath]

yep

what can you do to both sides so that z is only in the left hand side?

[alpine sable]

root both sides

on left side get z only

on the right side i get real part and imaginary part?

[minor heath]

that means z=sqrt(-1)

[alpine sable]

ah sorry, my bad, i forgot that rule /gen

[minor heath]

now use the definition of the imaginary unit

[alpine sable]

and find the squared root with these formulas

[alpine sable]

i ended up solving it myself!

[tough hatch]

#❓how-to-get-help: 3. Stick to one channel and don't post the same question in multiple channels.

[minor heath]

you dont really have to-

sqrt(-1)=i

its as simple as that-

[alpine sable]

im on university so its kinda weird for me that its as simple as that

[upper ember]

well, thats awesome!

[minor heath]

huh

[alpine sable]

thanks for the help

[tough hatch]

the real part is 0, the imaginary part is 1i

[tough hatch]

maybe this is what u wanted

[alpine sable]

probably, it just says solve the equation

[gray wind]

<@&286206848099549185>

[tiny acorn]

<@&286206848099549185> Can someone explain me on dm

[gray wind]

mine was from 15 mins

click on attachment

[tiny acorn]

Yes

[tough hatch]

yet you pinged them multiple times

lol

[tiny acorn]

yep

[tiny acorn]

all I want is a definition

[tough hatch]

when n=1 you get f(1) = f(1-1) + 5 = f(0) + 5 = 6+5 = 11

[tiny acorn]

this

[tough hatch]

since u were given a recursive formula use it to get the next few terms

[tiny acorn]

please

[tough hatch]

then u'll be able to find the difference d between each term @gray wind

[tiny acorn]

I’m confused

Ok nvm

[harsh acorn]

Can someone give me a hint to solve this please?

[jagged imp]

if an integer is even it can be written as 2k for some integer k. You can reduce the problem to some relatively simple casework from there.

[harsh acorn]

$$y^3<50$$ $$y_{max}=2$$
$$x^2<50$$ $$x_{max}=6$$
$$c<50$$ $$c_{max}=50$$

[jagged imp]

I can explain further from there I recognise that was very vague

[ocean seal]

Hyl1s

[harsh acorn]

I don't know how to write <= in latex

[jagged imp]

\leq

[harsh acorn]

so y={2} x={6,4,2} c={total25}

25 x 3 x 1 is the answer I guess?

[jagged imp]

nope

there are plenty of triples you could pick from there that wouldnt work

[harsh acorn]

yes

I see it now

I forgot 0 is not positive integer

[jagged imp]

not sure if you got my point

its not 25*3 since that assumes that every possible combination of values for a, b, c is a soln

for instance, 2^3+6^2+24>50

[harsh acorn]

oh we need to find number of group of possibilities

You mean that?

[jagged imp]

Not sure what you mean by that. You've got the right direction in finding bounds but the process there is to find a bound on a, then do casework from there

and it would be simplified quite a bit by the first thing i told you

[jagged imp]

what i mean by this is that a=2 implies that b=2, 4, or 6(8+b^2+c<=50 implies b^2+c<=42 therefore b can't be above 6 or we would pass 42). count the amount of possibilities each of these cases.

[pliant rapids]

I got stuck with a question , can someone help me?

Given a circle with radius x cm, what is the maximum number of equilateral triangles of side length 1 cm that can fit in the circle without overlapping or overflowing the circle? x is an integer.

[wraith cairn]

are you looking for the upper bound or the maximum triangles that can fit in a circle

because I have no idea how to solve the latter.

[pliant rapids]

maximium triangles that can fit in

[vale wigeon]

where'd you get this problem from?

it looks pretty tricky to me

[little wadi]

if x=1-t how does dx/dt = -1

[glass lichen]

yes

[little wadi]

yeah,how

[glass lichen]

it's a line with slope -1

[little wadi]

i think im doing somethingreallystupid but i dont get it

[glass lichen]

or power rule

or first principles

[little wadi]

i mean i dont udnerstsnad how they got there

[glass lichen]

so you've never done a derivative before..?

[little wadi]

yea

[glass lichen]

$\dv{x}x^n=nx^{n-1}$ you've never seen this?

[ocean seal]

Mosh

[little wadi]

uh i dont think i have, or maybe i ahve and i've forgotten it, im just getting bakc into math

i just googled it and i found the same thing

[glass lichen]

ok well they just applied power rule.. or like I said, it's a line with slope -1

[little wadi]

wait ok so

x=1-t how does dx/dt = -1

so

huh im just waiting for it to click

[pliant rapids]

a programming question about mathematics

[little wadi]

ohwaitimstupid

ty for your help

it's jut not my day

[chilly panther]

Quick statistics question... what is the danger of using a z test with a small sample size?

[stark trail]

what have you tried?

[livid hull]

(x/15)=(18/30)

x=25

[mystic sinew]

18 : 15
30 : ?

[mystic sinew]

it says 30 in the pic bro

if you do it with 30 you should get the right answer

[ionic jewel]

quadratic equation on all 3, at least one of the discriminants had to be 0

you can assume one is negative to show one of the other is true for each

[alpine sable]

o ok

[mystic sinew]

how is the transformation invariant in x axis when it maps 0 to 3

does it mean that if a point is on the x axis it will stay in the x axis?

[glass lichen]

yes, the x axis doesn't vary

[mystic sinew]

ah

god I can't believe I wasted so much time on this

[mystic sinew]

so if it's on 1,0 it won't ever get mapped to anything other than 0 on the y = 0 right?

[glass lichen]

is it a test?

[mystic sinew]

? nah this is just a homework thing for an online course I am doing

[glass lichen]

ok.. and yes, [0,1] -> [0,1]

[mystic sinew]

you're writing in the form [x,y] right?

[glass lichen]

im writing a coordinate vector, yes

[mystic sinew]

but it tells us that [0,1] -> [3, 1]

@glass lichen

[glass lichen]

oh yeah, meant [1,0]

e_1

[mystic sinew]

[x,0] -> [whatever, 0] right?

[glass lichen]

$[1,0]\to [1,0]$

[ocean seal]

Mosh

[mystic sinew]

bro we don't/can't know that

[mossy stirrup]

A runner starts running directly west from her home for 7.2 km. Then, she runs N20°E for 6km.
After that, she decides to run directly home. How long will it take her if she jogs at 3km/h? (

[mystic sinew]

bro occuppied

[hasty seal]

does someone know how to even approach the limit of this series?

can't use lhopital rule

[ocean seal]

Hyl1s

[dark zenith]

iam solving a differential equation for my exam and came across this, i have solved this kind of problem using z-transform and initial conditions before but, where only one variable is there, here there is a relation between x and y like 2xn+1=yn, iam not sure how to solve it...can someone help? (its okay if u can only help with second question)

[twin pine]

where is n approaching?

[hasty seal]

+infinite

[twin pine]

well 1/n when n -> +infinity will be 0

so what is remaining

[hasty seal]

oh yeah you are right

i can just change n to +infinite and solve it

[twin pine]

well, how will you solve 1 - (+infinity)?

[hasty seal]

1-(infinite) will be -infinity

[twin pine]

All right, I am doing these types of things and it's a bit confusing

So this is an established rule, this is an accepted solution?

[hasty seal]

I think so

(+infinity)*(-1)=(-infinity)

(-infinity) + 1 = (-infinity)

[twin pine]

That is correct

[twin pine]

That I do not know

[ebon quail]

can someone help me solve x

i'm not sure how to integrate this...

[twin pine]

Guys, if anyone can clarify, what is the value of n - (+infinity) were n > 0

[quick talon]

what is the point of intercetion between y= 2.5x -3 and 2.5x + 27

[noble sinew]

Are you sure it is exatcly like that? It doesn’t have an elementary antiderivative (it contains erf function)

[hasty seal]

-infinity will always be lesser than any real number

[twin pine]

@hasty seal Ok!

[ebon quail]

it's question #8...

[uncut depot]

how is this possible

-1^40 how is it positive

wait

no

what about this

[noble sinew]

Yep sounds like it wants you to use graphing tools and not actually find the antiderivative

[grand shell]

@uncut depot -(1^2) is not the same as (-1)^2

[uncut depot]

how

[grand shell]

first one is -(1^2) which is -(1*1) = -(1) = -1 and second one is (-1)(-1) = 1

[uncut depot]

oh

[noble sinew]

,w integral from -2 to 0.3863 e^(-t^2) dt

[ocean seal]

Results provided by WolframAlpha

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

Requested by ScapeProf#9427

[noble sinew]

si

[ebon quail]

thanks !!!!

[civic elbow]

Hello can anybody help me? I am pretty confused

[cinder sleet]

Help us

[ionic jewel]

find the roots of the quadratic

then you can figure out between which roots is negative and which is positivr

[lunar relic]

What do I need to know to understand what this is saying? Seems like Looks like this involves differential equations (as it mentions), linear algebra (from rank), and discrete math in it being described as surjective. I've taken all three before but I can't seem to piece together this definition.

Assuming bolded means vector:
q.. = f(q, q. , u, t)
implies that you have something like this:
Acceleration = Control vector * (Position vector * time + Velocity * time)

But that seems like a nonsensical result, so what is it trying to say here?

[jovial violet]

hey anyone has any knowledge on fetch execute cycle?

[charred flint]

affine is sort of advanced linear algebra

it just means linear+constant

so like v=Ax is linear, v=Ax+b is affine

the sentence does say "as we will see", so you don't have to understand why right now

[alpine sable]

t

[normal portal]

Guys what is the problem here ?

[glass lichen]

,rotate

[glass lichen]

where tf did -3421 come from on the left side?

[normal portal]

Same problems different solutions....

[glass lichen]

how is 28+400 equal to -3421?

[normal portal]

It's -342 \ :-6

[glass lichen]

ok, how is 28+400=-342?

[normal portal]

-400

[glass lichen]

you add 400 to both sides...

like how you subtracted 28 from both sides on the right side..

[normal portal]

The problem is with the right side

[glass lichen]

the right side is correct

[normal portal]

Same for the left...

No?

[glass lichen]

the left side has bullshit

the right side obeys all the rules and does math correctly

[normal portal]

What is the problem with the left?

[glass lichen]

28+400 is not -342

[normal portal]

It's not 400 it's -400

[glass lichen]

you add 400 to both sides to isolate for -6y

[normal portal]

And it's not -342 it's -372

But what i did wrong in the left?

[glass lichen]

Yes.

the left is wrong

[normal portal]

What I did wrong?

[glass lichen]

you did bullshit

$-400-6y=28 \ -6y=-342$ is completely wrong

[ocean seal]

Mosh

[normal portal]

28+-400 is -372

[glass lichen]

ok ill add -400 to both sides for you

$-400-6y=28 \ -800-6y=-372$

[ocean seal]

Mosh

[glass lichen]

there you go

see how it doesnt cancel the -400?

[normal portal]

What is this

[glass lichen]

me adding -400 to both sides

properly

[normal portal]

So what will cancel both of them?

[glass lichen]

adding 400 to both sides...

[bleak meadow]

can someone help

please

[normal portal]

Mate

Go away

[bleak meadow]

alright

[normal portal]

We in the middle

[bleak meadow]

ill leave

sorry

[normal portal]

@glass lichen

[glass lichen]

you dont need to ping me. . .

[normal portal]

What i did wrong in the left side?

[glass lichen]

didnt add 400 to both sides. . . .

like ive said already

[alpine sable]

damn beef

[normal portal]

Ohhh

Lol

Mate

[alpine sable]

easy

-2g-2f

[glass lichen]

channel is still in use

and dont give answers away either way

[normal portal]

When I put this to photo math it's say that y is 62

[alpine sable]

u just add the values together so all the f values and g values are together @bleak meadow

[glass lichen]

the channel is still in use

[alpine sable]

what does that mean

[glass lichen]

that's plain english

[alpine sable]

does it mean i can’t say things

[glass lichen]

you cant help someone not using the channel. . . .

#❓how-to-get-help #rules

[bleak meadow]

kk ty

sorry @glass lichen

it was my fault

[normal portal]

?

[glass lichen]

(-20)^2

not -20^2. . . .

this is why you give all the information instead of an oddshot of the problem

[normal portal]

Ohhhh

Holap

[glass lichen]

(-20,62) is one of the solutions to that system

[normal portal]

Lemme try

[mint thunder]

can i get some help on this... its more a meme than an equation but it would help me out a lot doing this, for a friend btw 😳
https://cdn.discordapp.com/attachments/680928395399266314/856947283688685665/dbd600c869e4e89bea2c51e640254a10.jpg

[normal portal]

So what is the difference between (-20) and 20

?

[glass lichen]

one's -20 and one's 20...?

they're 2 completely different numbers

[normal portal]

(-20)^2 and -20^2

[glass lichen]

Or, if you meant the difference b/w (-20)^2 and 20^2...

yeah say what you mean then

[normal portal]

Sorry

[mint thunder]

if anybody has a solution dm me

[glass lichen]

$(-20)^2=(-20)(-20)=400 \ -20^2=-(20)(20)=-400$

[ocean seal]

Mosh

[wraith cairn]

you don't deserve the sauce.

[mint thunder]

please i do deserve the sauce

i must have the sauce

its for a friend

[wraith cairn]

then solve it yourself.

[mint thunder]

tried and i think i got it wrong

761118

was my answer

[wraith cairn]

what are you supposed to do with 5 different numbers

x takes on 5 different values I believe

[normal portal]

Oh

Thx

[wraith cairn]

the third line isn't even an equation

it's an expression

I have no idea what you're trying to do.

[normal portal]

What's wrong know?

Nm

Sorry it's 2:0 here

[alpine sable]

-400+28

Go sleep

[charred flint]

the smut artist missed a parenthesis

[alpine sable]

Can I visualize or plot this function?

f(x) = (a/16)*0.85+(25*0.6*b*((25/99)*((100-c)/100)))

I can't find a website to see how this function looks. Is there another way to do this?

[oak chasm]

@alpine sable That looks like a constant function.

[alpine sable]

It probably is now that I look at it

Is it possible to change it slightly so it could be plotted in some way?

[oak chasm]

You could fill in a, b, and c.

You can also do a 4D plot somehow where the axes are a, b, c, and the result of the function.

[alpine sable]

Yes, that's exactly what I want! Would I have to program that myself? @oak chasm

[dense notch]

sorry to bother but i was wondering if im allowed to ask for an explanation for a question thats in my summer work?

[strong furnace]

as long as its not academic dishonesty it should be ok

[dense notch]

it isnt but it is a question on my assignment

cause i cant remember from class, last time we did this was in first quarter

[strong furnace]

sure just post your problem and some1 can probably help you

[dense notch]

i have no idea how these variables work

[versed abyss]

Hey! Just wondering how I would go about solving a question like this?

(It's practice btw, not a test!)

[strong furnace]

a_n=7n+4 is just a function with domain natural/whole numbers so you would have for example a_1=7*1+4

[dense notch]

ooh okay

so for this one, the value of a would be equal to 3(10)-5?

[glass lichen]

yes

[dense notch]

thank you very much

sigma balls

[versed abyss]

can anyone help?

<@&286206848099549185>

[glass lichen]

1 and 3 are opposite angles

[versed abyss]

how do i go about solving that though?

[glass lichen]

opposite angles are equal...

[versed abyss]

I know that, but how do I prove using the expressions that angle 1 is 10 degrees?

[glass lichen]

solve the equation you get..

[dense notch]

start by correlating the values to the picture of the diagram, then apply the principles of opposite angles to solve for x. the rest should just be some brainwork

cant explain well cause im bad at that but hopefully that helps

alright back to slaving away

[languid flame]

Hi , I need to solve this question with steps and comment steps does anyone have any ideas

can you please help me

[thorn kindle]

@languid flame can you just use the quadratic formula

Seems like the easiest way.

[alpine sable]

can someone help me please

[ionic jewel]

why is it asking for 4 decimal places then down to 2 tho

[languid flame]

I used it, but there are some deficiencies in my solution according to what the teacher wanted

[alpine sable]

How u solve

How do I do this

[glass lichen]

$(g+f)(2)=g(2)+f(2)$

[ocean seal]

Mosh

[alpine sable]

So it’s 2?

[ionic jewel]

no

[alpine sable]

Or 4

[ionic jewel]

yes

[alpine sable]

How about this

Can someone explain

I really don’t understand

[ionic jewel]

(f-g)(x) = f(x) - g(x)

[alpine sable]

can someone help me please

[ionic jewel]

(4x+3)-(3-7x)

@alpine sable i assume you can simplify ^ and see where i got it

[alpine sable]

❓

hmm

@ionic jewel

[alpine sable]

c?

[arctic zinc]

What would be the answer to this?

When I input -24-16(-2) on a calculator I get -56

[ionic jewel]

no

[arctic zinc]

But when I calculate it myself, I get -768

[ionic jewel]

,w -24-16(-2)/6^2/9

[ocean seal]

Results provided by WolframAlpha

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

Requested by 兔子#6562

[ionic jewel]

its because that division sign in the problem is garbage

and its unclear what it means

[alpine sable]

D

bunny

[ionic jewel]

,w -24 - 16(-2) * 1/(36)*(1/9)

[ocean seal]

Results provided by WolframAlpha

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

Requested by 兔子#6562

[ionic jewel]

stop guessing, show your work

[ionic jewel]

ur multiplying all the terms when you shouldnt be

-24-26(-2) = 0 minus 24 minus (26 times negative 2)

[alpine sable]

idk what im suppose to start from

[ionic jewel]

@alpine sable (f-g)(x) = f(x) - g(x)

do you understand this?

[arctic zinc]

This is what the problem looks like

[ionic jewel]

thats entirely different from what you wrote for starters

thats gonna be

[arctic zinc]

My question is the top part

[ionic jewel]

,w (-24-16(-2))

[ocean seal]

Results provided by WolframAlpha

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

Requested by 兔子#6562

[alpine sable]

no i dont understand it

[ionic jewel]

thats the top part

[arctic zinc]

Weird. What I did was, I first multiplied -16 by -2

And I got 32

[ionic jewel]

its just the definition of (f-g)(x)

yes

then you have -24 + 32

[arctic zinc]

Then, I multipled -24 by 32

Ah

Ok

Thanks

[ionic jewel]

yw but you need to understand why you cant just multiply those

the way I do it in my head is

-24 - (16*-2) = -24-(-32) = -24 + 32

that way you make sure you dont miss the negatives or anything

[arctic zinc]

Alrighty, thanks

[alpine sable]

idk the definition

like how u input it

[ionic jewel]

"input it"?

[scenic stone]

How to solve 8x < 7x

[ionic jewel]

there are no solutions of x

divide both sides by x to get 8 < 7

and since 8 is never less than 7, thats clearly false

[alpine sable]

how u do it bunny

[strong furnace]

x cannot be negative ?

[scenic stone]

It's an inequality bunny

[ionic jewel]

yeah i realized that right after i sent it lul

[arctic zinc]

Regarding this, I'm having a big brain fart right now.. would -16(-2) not be positive??

[ionic jewel]

that would be positive yes

I did 16 * -2 though

[ionic jewel]

yeah ok subtract 7x from each side x < 0

my bad first, i forgot multiplying by negative numbers flipped the sign on inequalities

[lyric magnet]

is it possible to find one unknown side of an isoceles triangle given only the length of the two equal sides?

this is the question in particular

[scenic stone]

Ok

What if I subtract 8 from each side

Or that wouldn't make sense

[lyric magnet]

8?

[arctic zinc]

c2 = a2 + b2

[lyric magnet]

i did try that but i get a decimal

im thinking that its wrong

so i decided to ask here

if you guys think its fine then i will write it as my answer

[calm topaz]

Well if it is icoceles, that means that 2x+6.8=8x+1.4

[lyric magnet]

nevermind i realised i had a calculation mistake

sorry for the trouble

[calm topaz]

x=0.9

[lyric magnet]

wait bruh

the answer is still a decimal in the end

[calm topaz]

which means the last side is 1.3416407865

that is the answer

The answer is a decimal

[lyric magnet]

my last side is 12.16223664

[calm topaz]

assuming it is an icoseles triangle.

[calm topaz]

wat

[lyric magnet]

sqrt (8.6^2 + 8.6^2)

12.16223664

[calm topaz]

where did 8.6 come from

[lyric magnet]

2x + 6.8

or 8x + 1.4

[calm topaz]

2x+6.8=8x+1.4

[lyric magnet]

x=0.9

2 (0.9) + 6.8 = 8.6

[calm topaz]

O i see I dumb

[lyric magnet]

O

[calm topaz]

lol

yeah I treated x as the side length lol

[lyric magnet]

oop

ok

[formal quartz]

i need help badly with some trigonometry ive been stuck on for nearly 3 hours

[red ledge]

Good Luck

[ionic jewel]

that's not even right, this may or may not be a right triangle

[limpid spade]

still don't multipost

[ionic jewel]

you don't have enough information to solve for the third side, but you can solve for x

[formal quartz]

this has been an abhorrent experience and i wish this faulty server good luck

good bye

[ionic jewel]

bye!

[limpid spade]

-_-

atleast he left himself instead of getting booted

[arctic mango]

Honorable.

[shut yoke]

(1.9 * 10^-6)^2(5.6 * 10^2)^3

the answer is 6.34 * 10^-4

[ionic jewel]

,w (1.9 * 10^-6)^2(5.6 * 10^2)^3

[ocean seal]

Results provided by WolframAlpha

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

Requested by 兔子#6562

[ionic jewel]

yep looks right

[shut yoke]

one sec sorry

i figured it out mb, i just messed up a calculation

[halcyon nova]

https://cdn.discordapp.com/attachments/845432717897629706/857022041843695633/image0.jpg

I am stuck

@ionic jewel helpppp

pls and ty

[ionic jewel]

don't ping me

[halcyon nova]

Srry

[limpid spade]

lol

[shut yoke]

lol

[shut yoke]

someone will be more prompted to help you if you explain what you do know

[halcyon nova]

I don’t know how to start it

[limpid spade]

start the engine

[warm cedar]

hi! could anyone here help with econometrics / statistics? Not school-related and probably undergraduate-to-graduate level help needed

[ionic jewel]

look up the polar equation for an ellipse

then you can find how the changes to your equation move the directrix or whatever

[halcyon nova]

Oh

[barren stump]

btw

[west fern]

im in 8th too

[barren stump]

I have multiple of these questions

I need to finish these questions

[west fern]

pretty much what i do for these questions are

1. write out the equation
2. figure out every way i can write it
3. look at the options and click all of the ones that are on my list

[barren stump]

I wasn’t focused during online section

I just see

A quick lesson on how to do it

Or a helper

[wanton spoke]

"Getting even number from 1-10." that's an example of an outcome, right?

[limpid spade]

a specific outcome

dunno the right word

[wanton spoke]

what, sorry?

We were asked to determine whether the sentence is an Experiment or an Outcome

@limpid spade

[sly mantle]

@alpine sable pls don't multipost

[alpine sable]

then which channel should i choose, cuz they are in diff category

[sly mantle]

#help-0 is general, #multivariable-calculus is specific. both are ok for this q but only pick one

[alpine sable]

ok i see

[ashen wave]

Can someone help me factor this y=-16x^2+280? I dont know how to find factors of huge numbers like that unless I go through dividing it by every number :((

[viral patio]

you can start small - are there any small factors you can see common in both terms?
(also reply to my messages so i get ping'd)

[wanton spoke]

(x+2)(x−3)

[green timber]

how did u get that

[ashen wave]

wdym? I need help with finding what can factor

[viral patio]

let's start small - do you see how 2 is a factor of both terms?

[wanton spoke]

read: https://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U12_L2_T1_text_final.html

[ashen wave]

Wdym by both terms- Dont you just look for factors for c

[viral patio]

let's start with a simpler example:

can you do y = 2x^2 + 10x + 12

[ashen wave]

erm I can try but im not familiar with factoring anything larger than 1 in front of a

[viral patio]

okay, i'll go through that step by step then

[ashen wave]

okay

[viral patio]

actually before that, can you factorise
y = 2x + 4

[ashen wave]

yeah hold on

lol im struggling I put (x+2)(x+2) but I checked it and its not right :/

oh wait

theres no a 😮

wait whatttt

[viral patio]

right, because (x+2)(x+2) would give you a quadratic function, but 2x+4 is a linear function
so when i ask you to factorise 2x+4 i want it to be a constant (a number) times something

[ashen wave]

Oh I didnt even know you could factor a linear function

[viral patio]

if i told you 2x+4 = 2(x+2), does that look familiar?

[ashen wave]

yeah

[viral patio]

it might have been a while but you've definitely done something like that before

[ashen wave]

Thats linear?

[viral patio]

yes

[ashen wave]

OH

[viral patio]

knowing that, can you factorise 6x + 9?

[dull shuttle]

How do i know gcf of 3x^3-9x^2 as the number above

[viral patio]

we're doing a question here, ask in an empty room please

[dull shuttle]

Ok

[viral patio]

@ashen wave
do you think you can factorise y = 6x + 9?

[wary stream]

Factoring doesn't always mean $$ax^2 +bx + c \rightarrow (x+a)(x+b)$$, it also means "pull" out the largest gcd from each term, if possible

[ocean seal]

dldh06

[viral patio]

yes we're getting there

[ashen wave]

oh

[ashen wave]

no :/

[viral patio]

do you see how 3 is common in both the terms "6x" and "9"?

[ashen wave]

oh yeah

But I dont know what to do next

[viral patio]

because 3 is common to both terms, you can "pull it out" of the expression
so you divide 6x by 3 (to get 2x), and 9 by 3 (to get 3) and put the rest together:
6x + 9 = 3(2x+3)
does that make sense?

[ashen wave]

Yeah I guess

[viral patio]

can you try 10x + 15?

[ashen wave]

I can try

[viral patio]

i believe in you, just follow the method i described with 6x+9

[ashen wave]

10x+15=5(2x+3)

Is that right?

[viral patio]

👏 👏 👏

[viral patio]

great, can you try the next one?
4a + 8b - 12
hint: ||check what's common to all three terms||

[ashen wave]

y=4a+8b-12=4(a+2b-3)

[alpine sable]

Anyone know how to do these questions?

[viral patio]

we are still using this room, please use another room

[viral patio]

perfect! you even got the negative i snuck in there

[alpine sable]

Oh

Sry

[ashen wave]

lol xD

[viral patio]

can you try:
16a + 32b - 48c

[minor dagger]

so this is wrong?

[viral patio]

we are still using this room, please use another room

[ashen wave]

idk if I got this one right but is it 16a+32b-48c=16(a+2b-3c)?

oh @viral patio

Sorry I keep on forgetting to ping you

[viral patio]

with that, do you think you can first pull out any constant terms in
y=-16x^2+280
and then you can try to factorise the quadratic part

[ashen wave]

ok Ill try

y=-16x^2+280=8(-2x^2+35)???

[alpine sable]

Can I get help next

[viral patio]

great!
now that you have that - how familiar are you with using things like "completing the square" or "the quadratic equation", or "the difference of two squares"?

[viral patio]

you don't need to ask, just post your question in an empty room - and only ping helpers after 15 mins

[alpine sable]

Kk

[hot ingot]

https://cdn.discordapp.com/attachments/326138737606262786/857042510417362954/Screen_Shot_2021-06-22_at_6.png

im confuzed about how to solve these

[wary stream]

All you do is complete the square for both

[viral patio]

we're still using this room, please post your question in an empty room

[ashen wave]

erm I only am familiar with quadratic equations nothing more

[gleaming obsidian]

3(2x + 3)

[hot ingot]

sorry didint notice i will

[viral patio]

so if i asked you to factorise, say, x^2 - 2?

[ashen wave]

Yeah I can do that

[gleaming obsidian]

I guess it depends on what you mean by factor

when I hear factor I think of the prime factors.

[viral patio]

what about 2x^2 - 3? how would you factorise that?

@gleaming obsidian do you have a question? if so, ask in an empty room please, we're using this one

[gleaming obsidian]

But in the real numbers you can divide anything by anything

because fractions are real numbers as well

I do

can I ask it?

[ionic jewel]

ask in an e m p t y r o o m

[viral patio]

@gleaming obsidian if so, ask in an empty room please, we're using this one

[viral patio]

@ashen wave any update?

[toxic dust]

Anyone familiar with Lines and Planes? (Vectors)

[viral patio]

if you have a question, just post it

[toxic dust]

Umm alright so i basically for Hw i got a chart that so far looks like this.

For the last column would it be the second point?

[viral patio]

so usually when you want to solve a system of equations, you want to find some point (or multiple points) that satisfy ALL of the equations at once
it may be a bit tough to visual (because they're planes in 3d space) - but are there any such points?

[toxic dust]

https://cdn.discordapp.com/attachments/803057978277888020/857046671380447262/Screen_Shot_2021-06-22_at_7.57.02_PM.png

Looks like this in 3-d

[viral patio]

right, so are there any point or points that lie on ALL three planes?

[toxic dust]

Nope

[viral patio]

so what does that tell you about the number of solutions?

[toxic dust]

One

[viral patio]

you've just said that there are no points that lie on all three planes, but you've also said that there is one solution?

[toxic dust]

Wait non?

[toxic dust]

😁🤣 oops

[viral patio]

so what is your answer?

[toxic dust]

No solution

@viral patio

[viral patio]

great, anything else?

[toxic dust]

Umm there is one more similar equation but let me try it first

I will ping you