yes.
#help-0
hot wedge
what are those steps where you remove the f, why do we that again
alpine sable
now same pattern with B.
alpine sable
what are those steps where you remove the f, why do we that again
which ones? all i did was plug what we knew inside
we figured out f(2x)=2x
and we tried f(x)=x
all i did was substitute that in
you may be confused because it's somewhat a lot to take in, but it's all we've done together
hot wedge
the steps where there { symbol is, i got confused there
alpine sable
do you agree that what you said f(2x)=2x is true?
hot wedge
yes
alpine sable
here
well, the } step is just substituting f(2x) with 2x, since both are equal
and i drew the } to make it clearer to see where things are coming from
alpine sable
well, the } step is just substituting f(2x) with 2x, since both are equal
does this now make sense?
alpine sable
okay great
alpine sable
and same thing with the other }, we assumed at the beginning that f(x)=x so i just substituted f(x) with x since they were equal
hot wedge
yeah
alpine sable
hi, is it aloud to ask a lot of questions? i dont want to be annoying
@alpine sable it is, but not here, this channel is occupied
oh im sorry
where can i doe?
please read #❓how-to-get-help if you haven't already
oh okay
any of the channels that are free, everything is written in there
@hot wedge so yeah one of the answers is a
hot wedge
yeah
alpine sable
but there might be others so we'll go with B now
alpine sable
oh really, wait.
alpine sable
then yeah that's the only one.
hot wedge
i just need to master functions (algebra 1) ones before like mid september 
alpine sable
yeah no others are correct
hot wedge
mhm
alpine sable
it just seemed like they accepted more.
hot wedge
ye
alpine sable
i just need to master functions (algebra 1) ones before like mid september <:why...
well you can always ask here if you have any doubts.
anything else you need help with?
alpine sable
is this right?
reef dust
Is it -2 ?
alpine sable
oops yeah so -32x^15 y^30
reef dust
👍
alpine sable
hehe almost forgot that the actual number will remain negative and the exponents will go positive
huh, the answer came out as -32y^30/x^15
i don't understand why
reef dust
huh, the answer came out as -32y^30/x^15
Power of x is negative so it goes down to denominator
dawn hatch
does anyome know the domain and range of a function is?
sleek elbow
does anyome know the domain and range of a function is?
dawn hatch
-_-
verbal cargo
i need help with poblem of fisica (i speak spanish, is a poblem? )
worldly breach
can somebody help with the diagrams
loud sentinel
can somebody help with the diagrams
alright im doing it
loud sentinel
can somebody help with the diagrams
worldly breach
thanks so much
dense blaze
would it be wrong to say \
$(G ∨ Y) ∧ (\sim Y ∨ \sim G ∨ L) \equiv G ∨ (Y ∧ \sim Y) ∨ \sim G ∨ L$
this is under logic
ocean sealBOT
sevenseas
worldly breach
hey so for the second problem it ask do our eyes sees the whole TV so it is a yes?
loud sentinel
yes
worldly breach
okok thanks
loud sentinel
Here’s a better representation
worldly breach
can anyone explain the amplitude
worldly breach
Here’s a better representation
thanks
topaz scaffold
Amplitude is a measure of how tall the sine wave gets
So what you can do is take the very top of the wave and subtract it by the very bottom then divide by 2
worldly breach
So what you can do is take the very top of the wave and subtract it by the very ...
it would be 1
topaz scaffold
Hmmm
I'll do A as an example
The highest point it reaches is y = 6
And the lowest point is -4
So you can do $\frac{6-(-4)}{2}$
ocean sealBOT
RipeOrange
topaz scaffold
Which is 5
alpine sable
Let number Utta U = 1.1975807343 satisfy the equation:
U is the first positive value with a negative slope as the root of (2^U)/(U^2) – (U-1)/U = U^2 while:
(U-1)^U + (U-1)^(1/U) = (2^U)/(U^2) – U and:
(U-1)U + (U-1)(1/U) = (2^U)/(U^2) – U
Is this significant?
reef dust
how would u solve this?
Period or length after which the graph repeats itself is period
verbal cargo
...
worldly breach
what is the axis of curve?
reef dust
what is the axis of curve?
Line across which we measure the amplitude
$So (1+(-3))/2=-1$
ocean sealBOT
Arya22
reef dust
y=-1 is axis in this case
worldly breach
so the axis of curve and amplitude are the same?
worldly breach
what is the line cross?
sleek elbow
@hot rampart "Anyone good at stats" thats not a question someone can answer easily. read #❓how-to-get-help
wintry vortex
I have a wierd question lol.
What is it called when your factoring and do the branching numbers that equal the main nubmer
i rmemeber learning how to do it but i dont remember what its called
and i have to write about it xd
alpine sable
you can helP?
alpine sable
yeah probably should write that in the form of (a+b+c)^2 but cant see how to put it correctly but i m not usre
wintry vortex
Any help (on mine) would be appreciated 😅 i dont want to write a discussion and just not remember what to call what I did...which I dont lol.
Sorry bro, im useless at that but I could wolfram it for you haha
alpine sable
Sorry bro, im useless at that but I could wolfram it for you haha
no i need full solution 😄
ionic jewel
i rmemeber learning how to do it but i dont remember what its called
you are using the difference of squares idea, although i never used the drop down numbers
and you forgot the +4
inland shale
you are using the difference of squares idea, although i never used the drop dow...
hi
can i have help
ionic jewel
wait that ain't even right
ionic jewel
why is it 11x^2 in your parenthesis
wintry vortex
oh im dumb
ionic jewel
can i have help
solve both for x then find the intersection
wintry vortex
OHHHHH its not +4 its t^4
inland shale
solve both for x then find the intersection
intersection?
wintry vortex
t^4
ionic jewel
for example x > 1 interaction with x <2 implied x is between 1 and 2
ionic jewel
t^4
then you should have t not x
but what you applied is called difference of squares
ionic jewel
so how would i know which one is the right choice
try solving each inequality for x then finding the overlap
if that sounds better to you
inland shale
yea
wintry vortex
Agreed, that was a mistake, i kinda made my T x for some reason. xD but thank you so much!
I could hug you right now!
i knew it was a thing how i did it but when i went to write how i came acros my answer my brain went blank
inland shale
I could hug you right now!
ikr thats what i feel when someone helps me in this server
its such a nice server
:D
wintry vortex
it has def saved my sanity
wintry vortex
whats left of it
wintry vortex
Meh, sanity is overrated 🤪
inland shale
lmao
wispy olive
How do we get that -
c *(d+c) = c^2.
light sparrow
its the font that is throwing you off - its actually d+e not d+c
and if you look at the diagram, d+e = c
wintry vortex
@inland shale yes it is lol
native temple
night tundra
How do I do this
surreal meadow
which one
novel lintel
what would the negation of this statement be? Is it, Prove both intervals contain an integer?
ionic jewel
This is saying that either the first interval contains an integer, or the second interval contains an integer (but not both), do you know how to negate "(exlusive) or" statements?
fair vine
not (a&b) = not a or not b
ionic jewel
not (a&b) = not a or not b
both a and b is also part of the opposite of the statement
The cases where this isnt true is when both intervals contain an integer, or neither of them do.
novel lintel
its is also possible that neither contain an integer
ionic jewel
Oh my mistake I misread
ionic jewel
its is also possible that neither contain an integer
then yes, you are correct
novel lintel
gotcha, thanks!
night pelican
hi
i am confused on how to express this fraction in its simplest form = 3-2/3
i have the answer but want to try and grasp the concept since i am confused
wary stream
Is that supposed to be $$3 - \frac{2}{3}$$?
ocean sealBOT
dldh06
night pelican
yes
wary stream
Because first get a common denominator
Then subtract the two
Then simplify if necessary
wary stream
A common denominator helps you combine the two numbers
Like $$2 + \frac{2}{9} \equiv 2 *\frac{9}{9} + \frac{2}{9} \equiv \frac{18}{9}+\frac{2}{9} \equiv \frac{18+2}{9} \equiv \frac{20}{9}$$
ocean sealBOT
dldh06
night pelican
my math teacher told me to multiply the bottom number with the middle number + the top number
so 9 times 2 plus 2
20/9
wary stream
That works too
brave urchin
im just stuck on these type of exponential property questions and just seem to be stuck
wary stream
Factoring out the GCF
placid zinc
@brave urchin
What's:
x + 64x
brave urchin
65x
surreal meadow
it's a simple question, don't overthink it
yes it's 65x
so now instead of x, make it (1/8)^x
all they've done is factor the (1/8)^x
brave urchin
what did they do to factor it im just not seeing it i know i learned it a while back but seem to have forgot
brave urchin
ah thank i see it a little more clearly now
placid zinc
@brave urchin
I wouldn't even call it factoring.
t + 64t = 65t
That's true, no matter what t is. So, let t = (1/8)^x:
(1/8)^x + 64(1/8)^x = 65(1/8)^x
alpine sable
I know that Sin^2y + cos^2 y = 1 but it doesn't help...
wait sorry I mean Solve siny + 2(cosy)^2 = 1
placid zinc
Oh you changed the question haha
The pythagorean identity does help, but only after arranging to:
cos^2(x) = 1 - sin^2(x)
alpine sable
Okay I'll try a little bit from here
So I have
siny + 2(1-sin^2y) = 1
And I'm not sure how to go on again...
sudden crypt
Maybe try a substitution z = sin(y)
placid zinc
This is a quadratic equation in disguise.
alpine sable
oh so 1-z^2 = (1-z)(1+z), is that the trick? Thanks!
placid zinc
You'll get:
z + 2(1 - z^2) = 1
-2z^2 + z + 1 = 0
alpine sable
I got
Z+ 2 ( 1- z^2) = 1
Z+ 2 (1-z) (1+z) =1
2(1-z)(1+z)=1-z
2+2z = 1
Z = -1/2
Siny = -1/2
dam I forgot what y is for that... Okay found my calculator it's 330 degrees
placid zinc
In order to do this step:
2(1-z)(1+z)=1-z
2+2z = 1
You divided both sides by 1 - z, which gets rid of the 1 - z = 0 solution
In general, factoring is safe, division is not
alpine sable
Now I'm stuck again..
I'm thinking about
sin θ=-1/2
θ= -30 degrees
and
Tanx = 4/5
X= 38.659 degrees
and brute force the answers
Do you guys know any website that calculate derivatives for me with steps?
oak chasm
@alpine sable Maybe Symbolab: https://www.symbolab.com/solver/step-by-step/\frac{\partial}{\partial x}\left(e^{^{x^{^2}}}\right).
vast bobcat
do you still need help with this?
the x intercepts are when any point on the parabola touches the x axis
and the y intercepts are when any point on the parabola touches the y axis
umbral nest
do you still need help with this?
so it would be like (2.5, 0) for 1's x intercept?
umbral nest
oh i see
vast bobcat
so it would be (-2.5,0) and (2.5,0)
for y intercept it's where the point lines on the vertical line
so the y intercept is..?
umbral nest
0, -6
umbral nest
oh ok thanks
vast bobcat
try solving the x and y intercepts for 2 and 3
umbral nest
nah i got it now, thanks for the help
vast bobcat
okay alg
umbral nest
thanks have a great day
alpine sable
Can anyone help me with this?
oak chasm
@alpine sable Combine the logs into one.
alpine sable
what is the formula for that?
oak chasm
Do you know the logarithm rules?
alpine sable
log ( them multiplying each other)?
oak chasm
Yes, that's right.
wise zealot
Okay, thanks
alpine sable
im wondering for '7a', why they didnt have the domain from 0-10
as they put 0=<x=<6 instead
alpine sable
Do you understand how the box is made after the x squares are cut out?
yes
oak chasm
OK, so one of the small ends of the original rectangle.
The two squares you take out can't be wider than that small end of the original rectangle.
Does that make sense?
If they are together wider than the small end then you're not really cutting a square out.
@alpine sable Does that make sense?
alpine sable
OK, so one of the small ends of the original rectangle.
i thought the reason why its 0-6 is because anything higher would lead to a negative volume?
oak chasm
No, you can't get a negative volume.
No matter how you cut a piece of cardboard, you can't get a negative volume from it.
The reason is that if the pieces you cut out have to be squares, then the widest you can get is half the width of the smaller side.
If you try cutting squares from the corners that are larger, you'll cut the first square from a corner.
Then the other corner on the small side won't have enough material to make the other square.
Does that make sense?
The remaining part of the small side won't have enough width to make the square corner as large as you want it to be.
south abyss
hey, can i get a proof for adjacent angles? https://foob.cc/Hgv6iWm.png
<@&286206848099549185>
karmic gorge
it's been like 10 minutes (give a little more time)
kindred hull
hey, can i get a proof for adjacent angles? https://foob.cc/Hgv6iWm.png
By adjacent angles u mean like 6 and 7 right
south abyss
By adjacent angles u mean like 6 and 7 right
no
6 and 8
2 and 4
1 and 3
5 and 7
kindred hull
I believe they are called opposite angles
thorn vortex
wdym by ''''proof''''
gray isle
you're referring bro vertically opposite angles or just vertical angles.
kindred hull
I got him a proof it’s ok
gray isle
the proof for congruence is simply applying the angle sum on a straight line twice
kindred hull
Ye that’s what I showed him
alpine sable
I don't understand what this question wants me to find
Does it just want me to just randomly to give a note like B, or it needs calculation? I don't see any equation besides the frequency...
karmic gorge
I believe they are called opposite angles
sorry for the confusion
astral dagger
I don't understand what this question wants me to find
maybe (v(t)=-A\omega\sin(\omega t-\theta))
knotty tinsel
mine should be a very simple one for those here, as your guys' math is way above mine. So what i'm triyng to figure out is the process for finding the base amount, that when added a percentage, equals the known total, so x+3.5%=1391.41 . I'm not just looking for an answer, i'm trying to understand the way it is derived, so I can learn
sharp sigil
Adding 3.5% is as good as adding 35/1000*x to the initial amount.
cloud olive
Hi i need hep in writing my answer in range
{y element R : y>=-25/16}
How can i write this in word form? like set of non-negative real numbers such that y ≥ 1
Wil i write set of all real numbers or set of non-negative real numbers?
alpine sable
maybe \(v(t)=-A\omega\sin(\omega t-\theta)\)
I don't really understand, why is it sin but not cos?
ocean sealBOT
SubGui
alpine sable
how is A not infinite?
celest anvil
no idea
jolly stone
i think the triangle iterates to the left
alpine sable
i think the triangle iterates to the left
that makes way more sense
celest anvil
so it's by a rate of 1/2 starting at 1
alpine sable
Also triangle area = bh/2
A = 25b/2 = 12.5b
b = sum (1/2)^n to infinity
All in all the triangles could only take up half the space
A = 12.5 no ?
ah write an equation for it
alpine sable
what was it
celest anvil
25/2
alpine sable
ah yea
sonic kelp
how can i show that the image of $f(x)=x^3+x$ for all $x\in [1,3]$ is the interval $[2,30]$ using the intermediate value theoprem?
ocean sealBOT
alef0
sonic kelp
Well the questions says ivt can help haha i know that i can show that 2=inf{f(x) for x in [1,3]} and 30=sup{f(x) for x in [1,3]} but i dont know how to show that
gray isle
have you done differentiation yet?
sonic kelp
not yet
gray isle
i guess you can first deduce that the function is increasing for all x
from properties of a cubic
steady musk
Given a family of 5 children and Event A being "first three children are boys" and Event B "There is exactly one girl", are events A and B independent or dependent?
oak chasm
@steady musk What's the formula for independence?
steady musk
@oak chasm if P(A and B) = P(A) * P(B), but there is no probability for P(A and B) yet right?
oak chasm
Well, you can find it.
What's the probability that the first three children are boys and there is exactly one girl?
steady musk
I got 0.125 and 0.15625
steady musk
right
oak chasm
So, anyway, what's the probability that the first three are boys and there is exactly one girl?
steady musk
5/256?
oak chasm
How did you calculate it?
steady musk
multiplying the probabilities
oak chasm
How do you know it's independent?
steady musk
what other method do you use to work it out then
oak chasm
Well, the first three are boys.
And there is exactly one girl.
So what combinations work?
steady musk
BBBGB and BBBBG i guess
oak chasm
How many combinations are there in total?
steady musk
two
steady musk
You mean total combinations?
oak chasm
Yes.
steady musk
2^5 combinations
steady musk
1/16
oak chasm
Is this true?
1/16 = 1/8 5/32?
steady musk
hmm no it doesnt
oak chasm
OK, so it's not independent.
steady musk
got it ty 👍
oak chasm
You're welcome.
knotty tinsel
@sharp sigil sorry for the delay, busy night at work. i think you misunderstood. i'm trying to find the inital amount. so x + 3.5%=1391.41. I know the value of 1391.41, i'm trying to find out the base amount before the 3.5% was added to give a total of 1391.41. I'm trying to find the inital amount.
and the method used to come to the answer
oak chasm
Adding a percentage works by multiplying 1 plus the percentage. Here, it's (1 + 0.035).
x(1 + 0.035) = 1391.41
knotty tinsel
ok, how does that determine what x is?
knotty tinsel
i don't understand the question you're asking. what is an interest question? I'm just trying to find a method to answer finding the base amount before a % was added, only knowing the total, as throughout my life i've needed to come to this answer and don't really know a method to do so
sorry, @grim fjord
knotty tinsel
not interest, but related to money yes
grim fjord
Do you have the original question?
knotty tinsel
yes, i have a complete total of $1391.41. i know that that total is a base amount (x) + 3.5% of the base amount. i'm trying to determine what the base amount would be before the 3.5% was added
knotty tinsel
yes
grim fjord
Before it reached it's final total.
knotty tinsel
yes
grim fjord
Do u have an answer to the question
knotty tinsel
sorry, it wasn't specifically about interest, it's about fees being applied to a transaction, so i didn't know it still fell under interest naming
knotty tinsel
i got an answer, but by trial and error using a % calculator. i'm more looking for a reliable method to get to the answer
as i'd rather know how to solve it then just get the answer
knotty tinsel
well crap, let me see if i can find it again lol. one sec
1344.35
but i used a tool and used trial and error to come to the correct answer, so it's probably not exact
knotty tinsel
i know that 3.5% is a multiplication of .035
that's about it
oh i get what you mean
grim fjord
oak chasm
1.035
knotty tinsel
multiplication
grim fjord
Take it slow
oak chasm
What's the opposite of multiplication?
knotty tinsel
@oak chasm i understand it's not your intent, but that came off as demeaning
knotty tinsel
/100
knotty tinsel
yes
knotty tinsel
i understand that
grim fjord
Now you want to find the added 3.5
Percent
When you add 3.5 to a total
You add it to a 100 percent right?
knotty tinsel
yes
grim fjord
So what's the new percentage?
knotty tinsel
103.5
knotty tinsel
yes
knotty tinsel
yes, which is 103.5
knotty tinsel
yes
knotty tinsel
but asking take x/100 multiply it by 103.5, i can't multiply by 103.5 as i don't know the value i'm multiplying
or are you asking what the total is
maybe i misunderstood. sorry
grim fjord
What
knotty tinsel
1391.41
knotty tinsel
yes
grim fjord
You're supposed to not know what X is
knotty tinsel
sorry, one minute, work call
grim fjord
X/100 multiplied by 103.5 is just 103.5x/100
sonic kelp
is $\sqrt{1-tan^2(x)}$ continuous in some domain?
ocean sealBOT
alef0
sonic kelp
<@&286206848099549185>
sonic kelp
oh sorry
rigid smelt
and by "in some domain", i suppose you are talking about restricting the domain of sqrt(1-tan^2(x))
sonic kelp
Yes i was trying doing $1-tan^2(x)\geq 0$
ocean sealBOT
alef0
rigid smelt
yes it can be continuous given an appropriately restricted domain
sonic kelp
but i got confused because wolfram says that $\sqrt{1-tan^2(x)}$ isnt continuous on its domain
ocean sealBOT
alef0
sonic kelp
thank you!
rigid smelt
its not unless the domain is restricted
white kiln
im gay at math help
grim fjord
What topics
grim fjord
How do you ask for help if you don't know the question
white kiln
i put math on invite link thingy
grim fjord
white kiln
i just dont know ok
grim fjord
Okay
So
You see that U symbol?
It means union
It's basically "and"
AUB means the contents of A + B
white kiln
ok
grim fjord
And when you get that
There's the n symbol
Which is an intersection
Basically the things that two stuff have in common
You like bread I like bread that's our intersection
grim fjord
No probs
grim fjord
ur epik
thanks :D
@knotty tinsel Alright
Generally, in algebraic equations
When you have 1 unknown
You can solve it
X+5=5
One unknown
X=0
You get that
knotty tinsel
yes, though that's a pretty simple example lol
so last we were on was X/100 multiplied by 103.5 is just 103.5x/100
grim fjord
Your new value is the number
knotty tinsel
1.035x
knotty tinsel
gotcha
grim fjord
Find x
grim fjord
You get it?
knotty tinsel
Burp, you da man/woman/nonbinary being
lean stone
lmao, not a fan?
grim fjord
yea
lean stone
anyone, ill kiss u if u help
knotty tinsel
@grim fjord now that its staring me directly in the face, i feel like a moron, which for all intents and purposes i am in this scenario lol
knotty tinsel
thank you for your help, and more, for explaining in a way that i can understand. i appreciate it
grim fjord
no prob, feel free to ask me anything as long as I have reached there in terms of learning
@lean stone I'm going to try it
Face my fears
lean stone
<@!478243665354162176> I'm going to try it
ayee thanks dude
lean stone
Face my fears
you gotta sometime right, why not now
grim fjord
Also do you happen to know the difference between the general and special forms?
Of binomial
I have a math examination on monday
it has binomial
Very painful
lean stone
Also do you happen to know the difference between the general and special forms?
hmmm not those exact terms? maybe show like a question?
lean stone
I have a math examination on monday
rip, is it big? or just a test
grim fjord
big
lean stone
grim fjord
yes
lean stone
thats part a? @grim fjord
lean stone
yes maam
also the question was flawed
lmao it asked me to find the constant but labeled the constant as "x"
for part b so dont bother w that
u could find the constant term but change the x to like a different letter
grim fjord
Oh
grim fjord
yea i did
lean stone
why
grim fjord
i thought it was wrong but nvm
grim fjord
wait I forgot to simplify 10C1 and the others
grim fjord
i simplified it
grim fjord
yep
lean stone
strange way to go about it but cool
grim fjord
i mean
they did ask for simplest form
@lean stone are ya sure the question is wrong?
lean stone
<@!478243665354162176> are ya sure the question is wrong?
im lookin at the MS its weird
lean stone
the question aint wrong but the way they wrote it looks strange
grim fjord
hmm
lean stone
its mamongus suss
grim fjord
alright i'll try the next one
lean stone
grim fjord
its mamongus suss
makes sense
lean stone
lmao
lean stone
YO @grim fjord thanks fam
grim fjord
does it work?
lean stone
i still gotta watch it lmao, but after reading the MS i get it
grim fjord
alrighty
grave bough
Need help with the following problem:
Find all values of parameter a, so that the following equation has only 1 solution.
ocean sealBOT
kingapplefruit
icy trail
combine the terms on the left side to get $\sqrt{\frac{8\sqrt{3} + 8}{\sqrt{3}}$
ocean sealBOT
querty
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
icy trail
$\sqrt{8 × \frac{3 + \sqrt{3}}{3}}$
ocean sealBOT
querty
icy trail
if you put them in a calculator they're not the same o.O
clear vessel
Hey, log x ^3 - log x ^ 2 is just log x right
grim fjord
Hey, log x ^3 - log x ^ 2 is just log x right
yes
grim fjord
i thought x was the base lol
cosmic token
hi
clear vessel
How do I solve p^2x - 6p^x + 8 = 0 if lg p = 5
alpine sable
$p^{2x}-6p^x+8=0$ if $\log(p)=5$?
ocean sealBOT
Al𝟛dium
clear vessel
yes
alpine sable
okay, is the log base 10 or e?
reef dust
How do I solve p^2x - 6p^x + 8 = 0 if lg p = 5
Take p^x=t and make a quadratic
reef dust
👍
alpine sable
Is there a tool that can enter 3 points to find a quadratic equation?
alpine sable
If x + 4 = 0 so x =?
ionic jewel
If x + 4 = 0 so x =?
subtract 4 from each side
alpine sable
Thank you
alpine sable
if you put them in a calculator they're not the same o.O
my instructor did it so I was not sure, but yes they are different he was wrong
dense blaze
how do i get \
$\lim_{x \rightarrow 0+} \frac{\sqrt{4x^{2} - x^{4}}}{x}$
ocean sealBOT
sevenseas
candid sluice
notice that $\sqrt{4x^2-x^4} = x\sqrt{4-x^2}$
ocean sealBOT
Pappa
candid sluice
np
worn sleet
hi, just need a little help with wording
if I have A(X) = 0.5*X^2, is it correct to say "A is a quadratic function of X"?
jolly stone
hi, just need a little help with wording
if I have A(X) = 0.5*X^2, is it correct...
yep that's right
jolly stone
it's the area under the normal distribution from mu+sigma to infinity (aka 1 sigma to the right of mean)
tulip pier
you can just look it up on a table
what table?
jolly stone
what table?
do you know how to find the probability from the normal distribution?
ionic jewel
it's the area under the normal distribution from mu+sigma to infinity (aka 1 sig...
If you understand normal distributions this should answer it
this isn't a calculus question at all, it's a normal distribution question
tulip pier
i know that the area underneath from mu - sigma to mu+sigma is 68%
jolly stone
ok, from that, can you find other areas to find out what is the area from mu+sigma to infinity?
tulip pier
oh so that table
jolly stone
hint that it's symmetric around mu
tulip pier
i always though of it as a diagram\
jolly stone
yep that's one way to find directly
should be the tail distribution, since it's at the tail infinity
worn sleet
yep that's right
thank you!
reef dust
Divide by x on both sides
You will get x^(x-1) =1
Now there would be 3 cases:
- power of x is 0
- base is 1
- base is (-1) with even power
Try solving these cases
You will get all the required solutions
bright pagoda
Hey! So my little brother has been playing this one roblox game, and has gotten pretty lucky
In 350,000 attempts, he has gotten 3 1/2,000,000 percent chance items and 2 1/200,000,000 percent chance items
What are the chances of getting that, in that many attempts
I know it won’t be exact but a close number would be nice at least to know
bright pagoda
<@&286206848099549185>
small bear
So I'm pretty sure someone here could calculate the exact probability, but if you need an estimate then we could do it like this
Firstly, the probability that you get 3 items of rarity 1/200000000 (eliminating the percent) in 350000 attempts is (350000 choose 3) (1/200000000)^350000 (199999999/200000000)^(350000-3)
This is using the binomial probability
Same can be done for the second event (which is going to be an even smaller number
(and if the events were independent, which they arent) we would multiply both of those to obtain the final value
sand jetty
Hey! So my little brother has been playing this one roblox game, and has gotten ...
somewhere in $1.5 \times 10^{-6}$
ocean sealBOT
itzikony
small bear
so you are looking at P(A) P(B) < Actual probability < P(B) where P(A) is the 3 items being picked, and P(B) is the 2 items being picked
sand jetty
but i may be mistaken, i did probability like a year ago
small bear
It's going to be smaller I believe
jagged rapids
why is it that if x,y are integers, then $ 2^x \le y $ can't have $x = \floor{log_2(y)}$ as the largest possible x
small bear
We could have that, for example y=5 => x=2 which is true
alpine sable
how do i get \\
$\lim_{x \rightarrow 0+} \frac{\sqrt{4x^{2} - x^{4}}}{x}$
Idk if someone told you already, but you can use L'Hopital
dense blaze
Idk if someone told you already, but you can use L'Hopital
yeahh im gg to learn l'hopital soon
but i didnt learn yet so i cant use it
but yup @ Pappa told me how to do it alr 👍
alpine sable
oh true
plucky geyser
Why are the graphs of these two trigonometric functions the same?
reef dust
Why are the graphs of these two trigonometric functions the same?
Add π to the angle given in first eqn
And as cos 8n 3rd quadrant is negative
U get a minus sign
So both graphs are same
verbal coral
can someone explain this to me? what is the difference?
vale wigeon
order of operations
exponents come before multiplication
the minus sign in this context acts as multiplication by -1
so $-5^2$ would parse as $-(5^2)$, or $-(5 \times 5)$
ocean sealBOT
Ann
vale wigeon
while $(-5)^2$ is of course $(-5) \times (-5)$
ocean sealBOT
Ann
verbal coral
but do they have different answers?
seems to me like its the same
minus * minus = + right
gray isle
did you try evaluating them given the new information?
the product of two negatives is positive yes
if that's what you meant
verbal coral
yea so they're both 25 then, i dont understand this
sage bronze
plucky geyser
Add π to the angle given in first eqn
And as cos 8n 3rd quadrant is negative
U g...
thank you!
gray isle
how are you getting 25 for:
$$-(5\times 5)$$
ocean sealBOT
ℝamonov
verbal coral
ahh
i might get it
I was thinking -5*-5 for them both, but for -5^2 you have to calculate the 5^2 first and then add the minus
is that correct?
I think I get
glass lichen
I was thinking -5*-5 for them both, but for -5^2 you have to calculate the 5^2 f...
Yes... exactly what was said
verbal coral
I didn't know the rules
glass lichen
That's why Ann said order of operations.. then explained it
verbal coral
wtf is exponent, idk english math terms
glass lichen
A^b has exponent b
verbal coral
?
verbal coral
danish, but I think I get it now
vale wigeon
it's... eksponent in danish apparently
verbal coral
yea we haven't learned that term yet apparently
desert moon
in the convolution integral, why is one of the functions reflected?
jovial crypt
If determinant of a matrix is 0 does this also imply that at least one of it's rows or column must have all elements=0
Ik that this is true the other way around but wbu this?
desert moon
no
vale wigeon
$\bmqty{1 & 1 \ 1 &1}$
wide raven
ocean sealBOT
Ann
vale wigeon
@jovial crypt
jovial crypt
I see
wide raven
Please help
jovial crypt
So I can make them non zero with standard operations
vale wigeon
vampy, do you have any follow-up questions or should @wide raven move?
covert agate
https://math.stackexchange.com/questions/2869495/number-of-solutions-to-a-linear-congruence-equation
i don’t get the answer
wide raven
@vale wigeon move ? As in?
fierce frigate
help me T_T
vale wigeon
@wide raven as in ask your question in another channel, one that isn't occupied already
wide raven
Very sorry
alpine sable
wtf is exponent, idk english math terms
Hvis du har 5^2 så er ^2 eksponenten, 5 er grundtallet og 5^2 er en potens.
loud sentinel
help me T_T
This is the explanation for a)
fierce frigate
itsoke
but u can help with how do they found this
WAIT
I UNDERSTAND
AHHA
FIRST TIME
I ACTUALLY UNDERSTAND TRIOGEMETRY
loud sentinel
wow congrats
sure it can be confusing at first
but youll work your way through it
dense blaze
hi can i ask if its possible to prove
$\frac{d}{dx} \sqrt{x} = \frac{1}{2 \sqrt{x}}$ using mathematical induction, since there's no n here?
ocean sealBOT
sevenseas
glass lichen
hi can i ask if its possible to prove
$\frac{d}{dx} \sqrt{x} = \frac{1}{2 \sqrt...
You can't use induction
vale wigeon
how exactly are you going to prove by induction a statement that doesn't involve any natural numbers at all
for induction, you need the statment to go "for all natural n, ..."
obviously the letter n can be substituted for anything else, but there has to be a natural-valued variable under a 'for all'.
dense blaze
yeah ok so i can only use induction when there's a natural number n
dense blaze
alright thankss
languid pulsar
Can someone help me understand the reformulation steps to get the second equation?
gray isle
divide numerator and denominator by $e^{z_j^L}$
ocean sealBOT
ℝamonov
covert agate
https://math.stackexchange.com/questions/2869495/number-of-solutions-to-a-linear...
hi can someone help
i’ve been waiting for 2.5 hours
honest token
Hello guys, it's possible to find the equation of a 3th degree function using some coordinates?
I know that we can use the general equation of the line for 1st degree function
candid sluice
lagrange interpolation is probably what you want
im personally not familiar with other polynomial interpolation methods
honest token
i'll search about it
thanks :p
This is just a test with some random points, but this is exactly what i need. @candid sluice thank you.
lyric pulsar
stoic cloud
Say I have three ratings, 45, 67, 93. And I wanted each to be a different weight percentage of the whole rating, what math would I use to find that?
vale wigeon
it's not 100% clear what you're talking about, but personally my best guess is you're looking for a weighted average.
stoic cloud
i want each of the three numbers to be a different percentage like 45 is 30% of the whole average and 67 makes up 20% of the whole average
@vale wigeon
vale wigeon
so you want the first rating to contribute 30% to the average, the second 20%, and the third 50%?
stoic cloud
ye
vale wigeon
yeah that's definitely a weighted average you're looking for.
$A = 0.30r_1 + 0.20r_2 + 0.50r_3$, where $r_k$ are your ratings (which you gave as $r_1 = 45, r_2 = 67, r_3 = 93$ in your example)
ocean sealBOT
Ann
devout wasp
what differentiation formula can I use to find the derivative of this?
devout wasp
Thanks!
stoic cloud
for weighted average why dont you divide the number you get by how many u added?
why do you just multiply the percentage you want for the numbers then add?
oak chasm
What do you mean by the number you get?
stoic cloud
(50 * 0.30) + (80 * 0.2) + (90 * 0.5) = 76% Total Grade
Why wouldn't we divide the 76 by 3 ?
@oak chasm
For weighted average
oak chasm
Because that won't give the weighted average.
It gives a different number.
You divide by the sum of the weights.
Like with a normal average, the weight for each number is 1.
You add the weights, which is 1 per number, which adds to the count of numbers.
Then you divide by that.
(1 · 5 + 1 · 2 + 1 · 3)/(1 + 1 + 1)
Same thing with different weights.
(0.3 · 50 + 0.2 · 80 + 0.5 · 90)/(0.3 + 0.2 + 0.5)
See how I added the weights to figure out what to divide by?
alpine sable
how do I compute the limes of this one?
vale wigeon
for weighted average why dont you divide the number you get by how many u added?
in a more general formulation, you divide by the sum of all the weights.
but if your weights are percentages adding up to 100%, i.e. 1, it's redundant.
oak chasm
@alpine sable What do you mean by limes?
alpine sable
the limit 😂
oak chasm
What's n going to?
alpine sable
as n goes to infinity
alpine sable
am I supposed to do with the help of the L'hospital rule?
oak chasm
That's probably the easiest way.
alpine sable
ok thanks then
oak chasm
You multiply the top and bottom by the + version of the parentheses.
vague coral
conjugate expression should work too, l'hospital rule is a hack :x
alpine sable
alrigtht i'll try it thanks
hearty cliff
conjugate expression should work too, l'hospital rule is a hack :x
why's it a hack
desert moon
why can you just set one of the variables = 0
i mean, would any number work?
just as well
is 0 just for the sake of getting simple looking eigenvectors?
vague coral
why's it a hack
in a way that it makes things a lot easier, but I'm not saying to not using it, but there are faster ways because who wants to take the derivative of a big function.
plucky crow
what differentiation formula can I use to find the derivative of this?
dafuq
,w differentiate x to the power of e to the power of sinx
ocean sealBOT
sleek elbow
if you have a question, just ask
vale wigeon
nfa? nondeterministic?
do you need it to be strictly nondeterministic?
so a deterministic one will not do?
that's why i asked whether you wanted a strictly nondeterministic automaton
i.e. whether at least one random branch was required
at most 4 states, was it?
here's a dfa that does the job in exactly four states
minor sun
i need help on this problem
So how piecewise function notation works is that the side on the left of the comma is the function that you use
minor sun
While the thing on the right side of the comma tells you the condition for which you are supposed to apply the function.
You have a given value of x = 3
alpine sable
yes
minor sun
And since the function on the bottom is supposed to be used for values of x greater than 0, you plug in 3 on the bottom
So your answer should be 3 - 11
radiant lantern
I need help on this integral plz
I want to subtitue it to arcsinhx
But when I do u substitution, it doesn’t work
This is the u substitution I did but it a video, it is saying that dx = 2 du and I don’t understand why
ancient saddle
Hello, multiply by 2 on both sides of equation du = 1/2 dx and you'll get 2 du = dx
alpine sable
,rccw
ocean sealBOT
alpine sable
transitive yeah
compact coral
okay
I hate these properties and "justifying steps."
really pointlessly confusing
ionic jewel
out of curiosity is this like the class where you get introduced to them or the start of a class where they go over different systems?
ionic jewel
like have you heard the terms "ZFC" or Peano or anything
compact coral
no
ionic jewel
ah alright
compact coral
they didn't even teach it
I don't even know all the properties they use LMAO
😭
so basically looking forward to my 0
ionic jewel
yeah in that case good to pick up there, but generally not applicable in the future knowing the names as long as you know the rules
compact coral
idek if anything i've wrote is correct
:)
do you know how to do all this stuff about properties? @ionic jewel
and justifying and blah bla blah
reef dust
3
alpine sable
ohh
reef dust
So 3 terms are seperated by 2 + signs
alpine sable
so in equations like that where theres a number outside of some stuff inside brackets you distribute it?
to the others
inside the bracket?
so then how is this one 3 terms
reef dust
👍
