.reopen
#help-0
pseudo shuttle
pseudo shuttle
yea
keen plinth
you get AB * BC = BD^2
pseudo shuttle
you get AB * BC = BD^2
thank you
gray isle
.close
sturdy bay
Why does fi go from 0 to pi/2, like how can you know that
lone heartBOT
Why does fi go from 0 to pi/2, like how can you know that
sturdy bay
I thought it was from 0 to pi cause we know p needs to be positive and since cos^2sin is positive from 0 to pi that's what you get as the limits of integration
This is spherical coordinates btw and the exercise asks to get the volume limited by that equation
I get how to do it but idk why it's form 0 to pi/2
lone heartBOT
@sturdy bay Has your question been resolved?
sturdy bay
<@&286206848099549185>
lone heartBOT
@sturdy bay Has your question been resolved?
sturdy bay
.close
hasty mortar
<@&286206848099549185>
lone heartBOT
<@&286206848099549185>
slender gull
...
lone heartBOT
hasty mortar
.reopen
lone heartBOT
✅
slender gull
What are you even trying to achieve here?
lone heartBOT
lone heartBOT
Available help channel!
alpine sable
@gray isle i still don't get what exactly i have to do in the problem from help-6 XD
alpine sable
Should i just broot force it?
gray isle
no
spice moss
x3+y3+z3=k
Help plz
gray isle
that's just a representation of what you're adding up
spice moss
x3+y3+z3=k
Help plz
What is K here
gray isle
you'll have 24 4 digit numbers
and considering symmetry,
overall each digit will appear in each position 6 times
if you're still stuck, i can give more hints in a bit,
try to think about this for a while
alpine sable
and considering symmetry,
overall each digit will appear in each position 6 time...
Isn't it 4321?
alpine sable
and considering symmetry,
overall each digit will appear in each position 6 time...
Probably i don't get something because i don't know the symmetry rule?
gray isle
wdym by 4321
alpine sable
It's the way we calculated that there can be 24 different numbers
alpine sable
Right
gray isle
of those 24 digit numbers,
the digit 2 appears the same number of times in each position
alpine sable
and considering symmetry,
overall each digit will appear in each position 6 time...
How did we calculate this and why do we need this?
gray isle
same for the other digits
gray isle
,calc 24/4
ocean sealBOT
Result:
6
tells us how many times we're adding
alpine sable
Yes. But why do we need to know this?
alpine sable
Is it?
gray isle
or want for efficiency
alpine sable
What do we do next then?
gray isle
so far do you have an issue with this
overall each digit will appear in each position 6 times
alpine sable
I guess i don't
gray isle
lets start by considering only the values the units column
from that you'll have 6 * (2 + 5 + 8 + 9) = 6 * 24
does that make sense so far
alpine sable
Sum of the numbers times how many times each digit will appear in each position
What do we get when we sum it?
gray isle
exactly what we summed
the sum of the digits from the units column is the sum of the digits from the units column
just call it what it is
other than that, do you have any issues with this sum
gray isle
pretty much
alpine sable
So we can just (6×24)×4?
gray isle
not quite
note that in the 10s column, each digit has a place value of 10
so that'll contribute 6 * (2 + 5 + 8 + 9) ** * 10**= 6 * 24 *** 10**
to the total sum
gray isle
yes
alpine sable
1000 is
6 × 24 × 1000
gray isle
yes
alpine sable
And if we sum them we have 30,476
Which is 4,5 if divided by 6666
Is that the answer?
gray isle
you shouldn't be adding them like that
and it looks like you made some summation error in your summation
consider factorisation
lone heartBOT
@alpine sable Has your question been resolved?
alpine sable
gray isle
can you identify the common factor in those 4 terms
alpine sable
can you identify the common factor in those 4 terms
6×24
gray isle
factor that out
alpine sable
With AB+AC = A(B+C)?
gray isle
yes
alpine sable
I'll try
6×24+6×24(10+100+1000)
Is this right?
Because I'm not familiar how to do AB + AC + AD + AF
Or i can do it as
6×24(1+10+100+1000)
Is this better?
If so, we have 6×24×1111 = 161095
gray isle
why do you insist on explicitly multiplyiong everything
and your product is wrong again
note that the question has something with 6666
6 * 24 * 1111 = 24 * 6666
so the goal is to find a where a! = 24
alpine sable
4
alpine sable
6 * 24 * 1111 = 24 * 6666
owo
Isn't a × b × c = a × c × b?
2 × 3 × 4 = 24
2 × 4 × 3 = 24
gray isle
multiplication is commutative, you can multiply in any order you want
gray isle
i have no idea how your final product keeps changing...
If so, we have 6×24×1111 = 161095
esp when you already had the output above 159984
alpine sable
Or i can do it as
6×24(1+10+100+1000)
Btw, are both of them right? Or just the 2nd one?
gray isle
6×24+6×24(10+100+1000)
6×24(1+10+100+1000)
are both valid, ideally for this you'd use the second one
alpine sable
Okay, we got to the answer
But what did we do logically?
Because it's so abstract for me
We had some numbers, but i don't get what did we do with them and why to get the answer
gray isle
we found a structured way by considering stuff like symmetry to efficiently find the total sum
without having to list out all 24 numbers and add them manually
alpine sable
Oh
gray isle
considering factorisation also gets us what we want
alpine sable
Could you gimme a formula of what we did?
gray isle
and all this can be achieved without the aid of a calculator
alpine sable
Like abcdf...
gray isle
the process is pretty much all outlined above
i don't really want to write out a formula for this,
alpine sable
It will look complicated, won't it?
gray isle
process isn't, formula will look intimidating
its like 6 lines of work if you're writing stuff efficiently
jolly dew
Where can i ask my question??
lone heartBOT
Where can i ask my question??
pseudo shuttle
here
wicked tree
@jolly dew so whats the question
jolly dew
If you can solve this for me and send me your sheet
wicked tree
so just replace a with 6?
jolly dew
I dont know what n is and so on
wicked tree
yeah i'm not too sure either
I know you find that stuff in sequences but this doesn't look like one
jolly dew
I just want to find a formula to calculate square roots xD
slender solstice
Oh, this looks familiar
slender solstice
I just want to find a formula to calculate square roots xD
Michael Penn made a good video on this, but it's just the ancient Babylonia way to calculate sqrts
The method is where you choose any arbitrary x0
But make the guess close to the actual sqrt
Then, just plug in the a you want to find, and recursively use the formula
And you approximate the sqrt better and better
Here's his video, it's a great watch
lone heartBOT
@jolly dew Has your question been resolved?
lone heartBOT
@jolly dew Has your question been resolved?
lone heartBOT
@jolly dew Has your question been resolved?
drowsy sinew
this looks like Newton Raphson Method of finding square root
this explains how to use it
lone heartBOT
@jolly dew Has your question been resolved?
lone heartBOT
@jolly dew Has your question been resolved?
vital fog
]
royal flicker
What does it mean by f=g x m1m2/r2?
lone heartBOT
What does it mean by f=g x m1m2/r2?
hard patio
hello, whats your question?
hard patio
gravitation?
royal flicker
okay
hard patio
cause small g is different
that is acceleration due to gravity
G is a universal gravitational constant
royal flicker
oh
tall topaz
What does it mean by f=g x m1m2/r2?
What prevents you from looking this up on Google, say
royal flicker
What prevents you from looking this up on Google, say
ur mom
tall topaz
lone heartBOT
Available help channel!
blazing wave
Help how do i solve this using a scientific calculator 4(2x^2+3)^3+1
lyric stream
does that = 0?
fallen verge
take a picture of the problem
lyric stream
Help how do i solve this using a scientific calculator 4(2x^2+3)^3+1
you cant solve if it doesnt equal anything
icy token
But i need to solve it using a scientific calcu
if you're using a scientific cal (strictly), rearrange so your equation on LHS equals 0
then solve for the values of x when the equation holds true
lyric stream
if you're using a scientific cal (strictly), rearrange so your equation on LHS e...
its not an equation though
icy token
its not an equation though
he said it doesn't equal 0, so make the equation equal to 0 then solve it. Is there anything wrong with what I said?
crude night
dawg take a pic
icy token
lone heartBOT
@blazing wave Has your question been resolved?
smoky dagger
smoky dagger
https://media.discordapp.net/attachments/903481105888452609/1032535066154373130/...
I understand that that it works from this example but I don't know why it worked
please tell me how the equation 2.56 works
Also I feel that since X is a matrix, it consists of multiple solutions for the equation Ax = i, where i is the i-th column of the Identity matrix
is that correct?
each column of X is a solution to Ax = i
so this is basically solving multiple system of equations at one go?
<@&286206848099549185> pinging helpers due to the 15 mins mark.. the previous channel in which I asked this question got closed and reoccupied
lone heartBOT
@smoky dagger Has your question been resolved?
lone heartBOT
@smoky dagger Has your question been resolved?
proper plover
hi there
alpine sable
do you know what > means?
proper plover
greater than
alpine sable
okay then think about the last 2 lines you just said
strange frigate
if i remember correctly, u only switch ifu multiple/divide with negative number
strange frigate
is 100 less than 20?
lone heartBOT
strange frigate
Hi! I have to perform Inferential statistics, i.e. none.-parametric and parametric tests. i have two treatments that i want to test against eachother on different variables. Im out of my knowledge here but, if i understand it correctly, i will perform parametric tests if they pass a normality test, and none-parametric tests if they do not. so after some hours of tests i came up with Unpaired T-Test for 2 Independent Means (two-tailed) as parametric test, and Mann–Whitney U test as none-parametric. but i was also thinking about performing additional tests, and was wondering if F Test For Variances counts as parametric test(F test is none-parametric though)
lone heartBOT
Available help channel!
harsh granite
How does characteristic and mantissa help in solving the number of digits
harsh granite
Let's say log n = Int+decimal.
How do I get the number of digits in n
vale wigeon
the number of digits in an integer is the floor of its decimal logarithm, plus one.
agile mountain
i have to find the limit of the function, which i have done like this: And is the function continious for all x? i answered no hence x=0 is in the domain. Furthermore, can we choose a value c=h(0,0) so that the function becomes continious for R^2
agile mountain
lone heartBOT
@agile mountain Has your question been resolved?
lone heartBOT
agile mountain
.reopen
lone heartBOT
Available help channel!
orchid python
A machine pours beer into 16 oz. bottles. Experience has shown that the number of ounces poured is normally distributed with a standard deviation of 1.5 ounces. Find the probabilities that the amount of beer the machine will pour into the next bottle will be more than 16.5 ounces.
orchid python
how can I solve this
vale wigeon
do you know how to find probabilities related to normal distributions, in general?
orchid python
yeah
vale wigeon
ok so then what is troubling you for this problem in particular?
lone heartBOT
@orchid python Has your question been resolved?
sturdy forum
can i get sources for stuff like
lone heartBOT
can i get sources for stuff like
sturdy forum
f(x) = x^2
f(x)
i am having hard time understanding these
Power functions and functions
noble notch
what dont you understand about them
sturdy forum
how to solve their problems when in a graph
noble notch
do you have an example probelm
sturdy forum
i will show
it says we have function
g(t) = t^2 - t
g(1)
calculate the equartion
gray isle
if you were to graph
y = f(x)
choose an x value, e.g. x=1
f(1) will be the y-coordinate where x=1
repeat for other x-values, use as many as you want
sturdy forum
hmm
gray isle
using
f(x) = x^2
as an example
f(1) = 1^2 = 1 gives you the point (1,1)
f(2) = 2^2 = 4 gives you the point (2,4)
gray isle
how does what work
alpine sable
like why is it 1/x
1/x looks like that because it has horizontal and vertical asymptotes; x ∈ ℝ \ {0} because 1/0 is not defined
and for no value of x is f(x)= 0
I don't know if that's what you mean...
alpine sable
and why it is 2^x
2^x looks like that because if you plug in x < 0 you get a value that is getting closer and closer to 0 but have no real x that results in f(x)= 0
If x ≥ 0 then it would just look like the "positive" part of a quadratic graph
Edit: this means that the f(x)= 2^x has a horizontal asymptote.
Edit 2: What I meant by "look like the positive part of a quadratic graph" is incorrect, I used it as a comparison and only realized how bad that comparison is now.
Oh shoot, ignore what I said I didn't see the messages above 
lone heartBOT
@sturdy forum Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
opal grove
lone heartBOT
opal grove
how do i get the x & y here?
heady pollen
what is the terminal side again?
opal grove
idk, thats all the question
heady pollen
ah ok
so
3x+y=0
gives us a line f(x)=-3x
that is the terminal side
for cos theta, we need x and y
however notice that cos theta=x/h
where h=hypothenuse
you can see that x/h=2x/2h
so we can scale our triangle as much as we like
to get h we can use:
h^2=x^2+y^2
h=sqrt(x^2+y^2)
therefore
cos(theta)=x/sqrt(x^2+y^2)
to get x and y we just choose one random point on f(x)
lets go with x=1
f(1)=-3
so our point is (1,-3)
therefore
cos(theta)=1/sqrt(1^2+3^2)=1/sqrt(10)
,calc 1/sqrt(10)
ocean sealBOT
Result:
0.31622776601684
ohh so any value on x would work?
heady pollen
this is the graph
tardy rapids
tardy rapids
ohh so any value on x would work?
Yes, you have to take the corresponding y value too though
valid stream
lone heartBOT
valid stream
Hi I was doing question b) and was a bit confused on something
I know that the central limit theorem is a model which describes samples as a normal distribution
but what does it mean to "use" the central limit theorem?
is there a separate formula for central limit theorem? or something?
plain flame
you can rewrite any distribution to be N(0,1) distributed
namely, let X be a random variable
and let X_1, X_2, ... , X_n be a sample
then
$\frac{\overline{X} - \mu}{\sigma}$ ~ N(0,1) as n goes to inf
ocean sealBOT
Gijs
plain flame
where $\overline{X}$ is the sample mean
ocean sealBOT
Gijs
plain flame
**Gijs**
its important to note that this formula can look a little different in different text books
but they mean the same thing
the general form is actually
$\frac{S_{n} - E(S_n)}{\sqrt{var{S_n}}}$
ocean sealBOT
Gijs
plain flame
where S_n is the sum of independantly identitically distributed random variables
lone heartBOT
@valid stream Has your question been resolved?
faint salmon
s(t) = ½at^2 +v(t) + s0 can someone help me find the name of this equation
faint salmon
i just want to get the name i have no idea what its called
reef grove
general equation of motion
vale wigeon
equation of motion for a uniformly accelerating object, perhaps.
karmic rapids
linear factorization is basically so you can see the roots of the equation
f(x) = (x-2)(x+3) has the roots -3 and 2 because if you plug one of those in you get 0
in a linear factorization 4x - 8 and x - 2 are "equal"
because if you plug 2 into both, they both give 0
gray isle
ideally you'd factorise as much as possible over the integers if possible for simplicity
karmic rapids
but yeah, that ^
gray isle
you'd factor 4x-8 further to 4(x-2), yes
and also note that you have (x^2 + 2x) there which can be factored further
usually just x
the 2 would be referred to as something like the constant factor
lone heartBOT
gray isle
you'd still write the constant factor
lone heartBOT
✅
gray isle
to get something equivalent to the polynomial
no
you'd write the factorisation equivalent to what you started with
no
i said that usually that x itself would be referred to as a linear factor
i never said anything about erase / wiping the constant from existence when asked for the linear factorisation
if you insist considering 2x as a linear factor would also be valid
oh, what you said was a bit unclear
<@&268886789983436800> holy!!!
yes
yeh
lethal mesa
Help anyone
- You are considering three job offers from 3 different BPO companies. IBEX will start you at Php 120,000 annually and a guarantee raise of Php 24,000 per year. Optum will start you with a higher salary of Php 168,000 annually, but will only guarantee a raise of Php 12,000 per year. Sutherland offers the highest starting annual salary of Php 250,000 but you will only receive a raise of Php 15,000 every year on your 6th year with the company. You are given a week to respond to each offer that you received. If you are planning to stay in your chosen company for ten years, which offer will you accept? Why?
lethal mesa
Arithmetic sequence
craggy token
you can group them into 3 sequences.
first is the IBEX, second is Optum, and third is Sutherland
ocean sealBOT
nichoals
craggy token
,rccw
ocean sealBOT
lethal mesa
oh right sorry
craggy token
otherwise it's right
so a_1 = 120,000 for IBEX
a_1 = 168,000 for Optum
a_1 = 250,000 for Sutherland
you have to simply find which a_10 is the biggest
craggy token
seems right to me
lethal mesa
seems right to me
thanks
craggy token
no prob
lethal mesa
.close
alpine sable
lone heartBOT
ornate condor
is this a test?
alpine sable
No it's a assignment
And my teacher didn't explain
BC I WAS SICK
1:ω=7
2:χ=16
3:μ=8
4:ν=6
5:ψ=20
6:β=21
7:μ=27
8:λ=10
I think these are right
@ornate condor
Help me
ocean sealBOT
Requested by Circle#0025
ornate condor
,w solve u=3-9
ocean sealBOT
ornate condor
repeat
alpine sable
Ok
ornate condor
or use any online solver
alpine sable
,w solve 9.2h+12=16
shadow stream
so how did i get that 4th step, (P^R)v(R^Q)
shadow stream
??
shadow stream
im sorry i deleted i new here
lone heartBOT
@alpine sable Has your question been resolved?
alpine sable
.close
swift sky
Professor Calculus must write a paper with 5 tasks. Task number i should give $p_i$ ∈ Z points. The sum of the points must be 14 and each task must give at least 1 point and a maximum of 4 points. In how many ways can he distribute the points on the tasks?
ocean sealBOT
afeAlway
swift sky
I first turned $p_i= x_i - 1$ so I can get $0<= r_i <= 3$ instead. Then I put the variable $x_i$ in the equation and got $ x_1 + x_2 + x_3 + x_4 + x5 = 9 $. The total amount of combination is $C(tot) = C(5+9-1, 9)= C(13, 4)$. What I then did was find how many combination there are when one x can be greater than 3, and then when 2 can be greater than 3. $C_1 = C(9,4)C(5,1)$ and $C_2 = C(5,4)C(5,2)$. So $C = C(13,4) - C(9,4)C(5,1) - C(5,4) C(5,2)$
ocean sealBOT
afeAlway
swift sky
What my answer sheet says is, C = C(13,4) - C(9,4)C(5,1) + C(5,4) C(5,2) = 715-630+50= 135 What I answered was 715 - 630 - 50 = 345. How in the hell is C(9,4)C(5,1)= 630??
lone heartBOT
@swift sky Has your question been resolved?
swift sky
<@&286206848099549185>
sudden glen
find the square of (n+1), if 11√n = √343 + √112
lone heartBOT
find the square of (n+1), if 11√n = √343 + √112
echo socket
Square, divide by 11^2 and add 1 to both of the sides
plain flame
and then square again of course
sudden glen
its a multiple choice, resulting im getting is not in the options
11√n = √343 + √112
square rooting both sides
121n = 343 + 112
121n = 455
n = 455/121
n+1 = 455/121 + 1
= 3.76 + 1
= 4.76
(4.76)^2 = 22.76
Options are 7, 8, 49 and 64
echo socket
Square of √343 + √112 is not 343 + 112
idle stone
Hello There
lone heartBOT
Hello There
idle stone
A translation service has 33 employees, of whom 27 speak French, 11 speak Spanish, and 7 speak Hindi. Of the Spanish-speaking employees, 5 speak Hindi and 6 speak French, but only 3 of the French-speaking employees speak Hindi. All of the employees speak at least one of these three languages.
How many of the employees speak all three languages? Be sure to define any sets you refer to.
Display the data of this situation in an appropriately labelled, completely filled-in Venn diagram.
@ helpers
<@&286206848099549185>
.close
quartz cave
I have plotted the gradient arrows/vectors of a function with 2 variables
quartz cave
And I am wondering why some point towards the lowest point and some away from it
What is happening exactly?
mortal trellis
are you sure that you computed everything correctly?
the gradient points in the direction of the greatest increase
so it shouldn't point towards a minimum
lone heartBOT
@quartz cave Has your question been resolved?
swift flame
lone heartBOT
swift flame
my answer is P15,000
all i did was
20,000 x 0.04 = 800
40,000 x 0.08 = 3,200
(40,000-150,000)= 11,000 x 0.10 = 11,000
800 + 3,200 + 11,000 = 15,000
is it correct
<@&286206848099549185>
.close
alpine sable
need help please help me
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
deep robin
lone heartBOT
deep robin
What's the value for y?
lilac knot
6x + 4y = 8 how do i solve from standard form to slope intercept form
tall topaz
Write down a few terms and find a pattern @deep robin
Remember log(a) + log(b) = log(ab)
keen plinth
🔭
deep robin
oh that's clever!
Let me see then...
OH
I think i got it
will it be just log 100?
deep robin
Ty sm Pure! 
tall topaz
Np
deep robin
.close
tall topaz
humble topaz
Hello, I am currently trying to solve this problem. I already know how to solve for the limit, but I am having trouble with showing that the limit exists in the first place. My approach is to show that the odd elements are monotonically increasing while the even elements are monotonically decreasing. I am also planning to show that it is bounded by 0 and 3(arbitrary number). I have an equation that shows the relationship between every other number, but I am stuck there. Here is the question and my current work
humble topaz
I have other work done on another sheet of paper but I summarized most of it here
Sorry, just read the rules and realized that this question is not appropiate here. Will go to another channel.
.close
subtle escarp
I'm currently in algebra 2 and am trying to finish 2 questions on my homework but I'm dumbfounded and stuck on what to do, one of the questions is g(a)=a^3+2a^2
Find (g°g)(-2)
deep robin
first, find the value of g(-2)
Than input the result of g(-2) into g(a) and that'll be your answer
subtle escarp
So replace all A's with a negative 2 correct?
deep robin
Precisely 👍
subtle escarp
Ok thank you 🙏
deep robin
Np 🙃
subtle escarp
The other question was that I had to find the inverse of each function and the question was h(x)=1/4x-1/4 I'm usually good at math but it just got harder all of a sudden
deep robin
Don't worry, that's perfectly normal
It iso only important that you don't stop liking it, maths can be really fun 😃
subtle escarp
That is true, I took an accelerated class last year so for my freshman year I got to do alg 1 before Christmas break and geometry after
deep robin
The other question was that I had to find the inverse of each function and the q...
Ok so for inverse functions, replace h(x) for y (that's just function theory) and then isolate x
deep robin
That is true, I took an accelerated class last year so for my freshman year I go...
Look at you go! Nice 🙃
subtle escarp
Thx lmao
Ok, I know you add the -1/4 to both sides
But for the 1/4y would I divide by 1/4 on each side?
deep robin
Ok so for inverse functions, replace h(x) for y (that's just function theory) an...
Once you isolate x, just replace x for h^-1(x) and replace y for x
deep robin
But for the 1/4y would I divide by 1/4 on each side?
All you need to do is leave the x alone in one side of the equation, just do whatever is needed to achieve that
deep robin
No problem, good studies! :)
subtle escarp
Thanks, you too 😁
primal dew
17&
lone heartBOT
@subtle escarp Has your question been resolved?
alpine sable
lone heartBOT
alpine sable
Can someone explain or give me good notes on how to do this I can bring a piece of paper to the test tomorrow and this problem is the one I struggled on
zinc dagger
Ur not gonna cheat, are you?…..
median goblet
😬
zinc dagger
,rotate
ocean sealBOT
alpine sable
No she allows us to use a piece of paper on chapter test and notebook on quizes
alpine sable
Yes
zinc dagger
Then do a lil switch with the x and ys to switch the input and output, which is what an inverse function is
So x=2y^3-1
Then isolate y, and you have your inverse function
alpine sable
How to isolate y just put on other side of =
zinc dagger
Do reverse PEMDAS
alpine sable
Y=nthroot3 -1/2
zinc dagger
Wait what’s nthroot? Is that cube root?
alpine sable
Yes I forgot what's called and that is the desmos thing
alpine sable
It's a graphing calculator
And some expression you can type since they aren't on keyboard like sqrt is square root symbol
@zinc dagger you think that's good enough
<@&286206848099549185>
.close
errant knoll
hello
vale remnant
Hi!
lyric stream
vale remnant
send your question!
errant knoll
<#488120190538743810>
ya i saw lole
errant knoll
send your question!
hol up
need help w these!!
im in 11th grade algebra 2 if that means anything
lone heartBOT
@errant knoll Has your question been resolved?
lone heartBOT
@errant knoll Has your question been resolved?
alpine sable
Oh sweet
Yeah exactly, exchange x and y
Is there anything u still need help with then?
errant python
Please help me with #28 and #29. I don’t understand how to do this at all so please help me from square one
ocean sealBOT
errant python
Would I change (x,y) to (-x,-y)
serene junco
Yes, exactly
errant python
What about for an even function?
serene junco
An even function should be symmetrical over the y-axis, like this:
,w graph x^4-2x^2+1
ocean sealBOT
errant python
so I change it from (x,y) to (-x,y)?
lone heartBOT
@errant python Has your question been resolved?
warm kestrel
its one of the easier questions so i dont need some long winded answer but i just dont know what im missing
serene junco
What do you mean missing? This makes sense to me
heady pollen
you could include that BC=BA-CA
serene junco
Oh
heady pollen
but yeah, it makes sense to me
warm kestrel
what would that do?
serene junco
Didn't catch that at first
alpine sable
<@&286206848099549185>
lone heartBOT
<@&286206848099549185>
rough sonnet
Is means that x cannot be 0
alpine sable
Can some one explain Represent the following numbers as being members of set L: -15, 1, 7, 3, -8, 7, 0,
12, 6, 12
wary stream
<@&286206848099549185>
!15m
lone heartBOT
<@&286206848099549185>
Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.
alpine sable
Is means that x cannot be 0
Can you explain how to do B so I understand
rough sonnet
Is means that x cannot be 0
Since if x is 0, the function would be undefined
alpine sable
Ohhh
alpine sable
Since if x is 0, the function would be undefined
Ohh
rough sonnet
Can you explain how to do B so I understand
B is one of the options
rough sonnet
in this case, just simplify the expresion
wary stream
So the answer would be e
No
wary stream
You're just simplifying that fraction
rough sonnet
So it doesn't undefine
alpine sable
Oh so I solve it like how I normally would
rough sonnet
Yes
alpine sable
Okay 👍
rough sonnet
They're just setting a restriction
alpine sable
Ahhhh okay
Thank you so much
I got C but I’m confused about the 1
Like how do I explain getting the one
I understand the 4x
lethal pelican
I got C but I’m confused about the 1
5/5 = 1
alpine sable
So 1 goes into 5?
lethal pelican
You divided top and bottom by 5. So I guess 1 goes into 5 five times
quartz lance
I know this function is exponential, but I am confused as to what numbers I am supposed to plug into m(t) = a*b^t
gray isle
apply exponent laws to get something in that form
quartz lance
what I tried so far is 4 x 5^t
making (20^t)^2
from here all I can think of is just apply 20^2
so 400t?
the law would be (ab)^t making it a^t*b^t
or would it be (a^m)^n > a^mn
so in this case it would actually be (4x5^2t)?
so m(t) = (4*5^2t)
quartz lance
apply exponent laws to get something in that form
does the exponent t belong to a and b or just b?
gray isle
order of operations say b
what I tried so far is 4 x 5^t
making (20^t)^2
and from order of operations, that's illegal
gray isle
no
alpine sable
what
gray isle
the $\red{t}$ in $ab^{\red{t}}$ would only apply to the $b$. \
ocean sealBOT
ℝamonov
gray isle
your starting expression however is in a different form. what's the exponent law involving
$$(pq)^r$$
and apply that to $(4 \cdot 5^t)^2$
ocean sealBOT
ℝamonov
quartz lance
(pq)^r would be
p^r * q^r
so would this be 4^2 * 5^2t?
but that makes it so weird
m(t) = (8 * 5^2t)
gray isle
4^2 isn't 8
ocean sealBOT
ℝamonov
quartz lance
is that possible?
gray isle
yes
quartz lance
I can't just do 25^t
gray isle
can or can't
quartz lance
I don't think I can
gray isle
because you definitely can and just did it
gray isle
power (of power rule)
quartz lance
because you definitely can and just did it
yea but I break all of the rules of math
gray isle
you applied
power (of power rule)
the third one
gray isle
power of power rule also works in reverse
quartz lance
do 5^2 and then bring t back
gray isle
applying that same law
$$5^{2t} = (5^2)^t$$
ocean sealBOT
ℝamonov
gray isle
25^t not 25t
gray isle
and compare that to ab^t
to identify your a and b values
quartz lance
and compare that to ab^t
to identify your a and b values
thanks again, you explain very well!
.close
alpine sable
<@&286206848099549185>
lone heartBOT
<@&286206848099549185>
alpine sable
How do I do A
alpine sable
How do I do A
the formula is (y₂ - y₁) / (x₂ - x₁), meaning that you can pick any two coordinates and plug it into the formula, the larger number being the y₂ or x₂
for example: (2.25 - .25) / (4 - 0)
then ur result from this would be your rate of change
alpine sable
if you had a problem like 8/8(8+8) would you do the 8*(8+8) first or the 8/8
elfin fern
Why is the period not 2pi? Every other problems period is what u pull of the graph but this one says pi even tho it goes to 2pi
alpine sable
Why is the period not 2pi? Every other problems period is what u pull of the gra...
already put a question
do it on help 2 32 or 34
wary stream
if you had a problem like 8/8(8+8) would you do the 8*(8+8) first or the 8/8
Is that $\frac{8}{8(8 + 8)}$ or $\frac{8}{8}\left(8+8\right)$?
alpine sable
what
ocean sealBOT
dldh06
alpine sable
8/8(8+8)
wary stream
Which is it?
alpine sable
would you do 8/8 first or 8(8+8)
alpine sable
Which is it?
idk bruh im not that advanced into math
wary stream
**dldh06**
There are two different ways that is read
alpine sable
what is $ and {
wary stream
It's for the latex
wary stream
**dldh06**
Just focus on this part
wary stream
If it's $\frac{8}{8}\left(8+8\right)$, then you do order of operations
ocean sealBOT
dldh06
wary stream
Do you know order of operations?
wary stream
so do the paranthases first then 8/8?
Yes
alpine sable
alr
stiff lion
**dldh06**
dawg u just solve 8 + 8 which is 16 then multiply that by 8/8 which is 1 which gives u 16 it isnt that difficult @upbeat charm
lone heartBOT
@spark fiber Has your question been resolved?
honest umbra
Anyone know how to find the sum of each of these questions?
lone heartBOT
Anyone know how to find the sum of each of these questions?
honest umbra
Using this formula
I got d just now but not sure about e
nvm got both now
!close
/close
.close
iron cosmos
how do you solve and graph the f(x) = (x-3)² a d get their vertex, x intercept and y intercept?
terse violet
Q) For which condition, the quadratic equation (a^2+b^2)x^2-2(ac+bd)x+(c+d)=0 has equal roots.
(We have to do this using D=b^2-4ac where D=0)
ornate condor
Q) For which condition, the quadratic equation (a^2+b^2)x^2-2(ac+bd)x+(c+d)=0 ha...
👽
:c
ornate condor
how do you solve and graph the f(x) = (x-3)² a d get their vertex, x intercept a...
um
have u seen vertex form
like
y=a(x-b)+c
wheat isle
I desperately need help for this. Can someone walk me through step by step on how to solve this
tawny condor
Plug in f(x) and g(x) and simplify.
They tell you what the functions are, so try finding:
$g(x)[f(x) + g(x)]$
ocean sealBOT
RedstonePlayz09
ocean sealBOT
RedstonePlayz09
wheat isle
**RedstonePlayz09**
What is this for?
tawny condor
Look at what you sent
You need to find out if the equation is always true
So try simplifying it first
wheat isle
OHHH
Right my bad
Okay I’ll try plug in
1 - x / 1 + x [2x / 1 - x^2 + 1 - x / 1 + x]
Would the first half look like that?
wheat isle
So try simplifying it first
And then it would be 1 - (2x / 1 - x^2)(1 - x / 1 + x) for the second half?
lone heartBOT
@wheat isle Has your question been resolved?
lone heartBOT
@wheat isle Has your question been resolved?
wheat isle
.close
lone heartBOT
lone heartBOT
Available help channel!
abstract stump
Do I post it here?
mighty furnace
Hello
lone heartBOT
Do I post it here?
abstract stump
And how many questions can I post?
mighty furnace
I was close
open urchin
And how many questions can I post?
however many you want I guess
just one at a time preferably
abstract stump
Bet
Bro I need somebody to do my algebra 2 test I would literally pay somebody 😂
Somebody show me how to do this 😂 preferably on like vc
<@&286206848099549185>
lone heartBOT
@abstract stump Has your question been resolved?
abstract stump
lone heartBOT
@abstract stump Has your question been resolved?
last spade
Is the function defined by the graph or some equation?
last spade
Is the function defined by the graph or some equation?
If it's defined by some equation then the domain is $\mathbb{R}$ and range is (-$/infty$, 1]
ocean sealBOT
Lambda
buoyant storm
shouldn't it be (-$\infty$, 3]
ocean sealBOT
meowmeow
ocean sealBOT
meowmeow
last spade
shouldn't it be (-$\infty$, 3]
Yeah, I didn't look carefully enough, sorry
abstract stump
Is the function defined by the graph or some equation?
Graph
last spade
Then there's too few information, you should get the coordinates of the endpoints, but you didn't
I'd assume it's supposed to represent some equation
And go with the answer I and meowmeow gave you
lone heartBOT
@abstract stump Has your question been resolved?
fleet edge
chasing some help with confidence intervals
lone heartBOT
chasing some help with confidence intervals
fleet edge
harsh ibex
Naive Bayes Classifier
Can I type inn this channel ? It says its alkose's
!close
!close()
lone heartBOT
@fleet edge Has your question been resolved?
brave sky
.reopen
Cuba drew the Rhomboid ABCD and the triangle XYZ. The length of side AB and the length of side XV are both equal to 6cm.
ABCD has a height Va of 3 cm. The content of the triangle XYZ is five times smaller than the content of the Rhomboid
ABCD. Calculate the height Vz of triangle XYZ
lone heartBOT
Cuba drew the Rhomboid ABCD and the triangle XYZ. The length of side AB and the ...
@brave sky Has your question been resolved?
lone heartBOT
@brave sky Has your question been resolved?
lone heartBOT
@brave sky Has your question been resolved?
lone heartBOT
@brave sky Has your question been resolved?
high rapids
what is "content"?
severe mantle
ember loom
can someone explain what a contour integral does or link a good video on it please?
lone heartBOT
@brave sky Has your question been resolved?
brave sky
Cuba drew the Rhomboid ABCD and the triangle XYZ. The length of side AB and the length of side XV are both equal to 6cm.
ABCD has a height Va of 3 cm. The content of the triangle XYZ is five times smaller than the content of the Rhomboid
ABCD. Calculate the height Vz of triangle XYZ
lone heartBOT
@brave sky Has your question been resolved?
sage fractal
sonic viper
idk how to do 1 and 4. im new here and uploading for help. thnx very much 🙂
charred plover
.close
wispy gale
is there a proof for associativity of linear transformation that is not saing it is just intuitive
jagged imp
Maybe, but its hard to say since you're overcomplicating it by renaming everything. This proof I stole from MSE suffices.
Also, note that this is true for all functions, not just linear transformations
If you want you can convince yourself that there's no domain and codomain issues.
marsh rapids
It comes from the fact composition is defined as always applying left first, right second. Therefore the parentheses can't matter because the order of evaluation is the same anyways. That's why we need to take a specific x to do it (i.e. you can't just do it on the functions), so that you can use the evaluation properties
lone heartBOT
@wispy gale Has your question been resolved?
brave sky
.reopen
lone heartBOT