#help-27
arctic field
wooden veldt
well done
wooden veldt
no worries!
dark dawn
.close
chrome gulch
devout snowBOT
chrome gulch
Am i allowed to take the limit like this ?
fresh horizon
yes
chrome gulch
so its okay to just take the lim in the root and not get rid of the root before?
fresh horizon
well
if $\lim_{x \rightarrow a} f(x)$ exists and there is a function $g$ such that, $g$ is continuous in $\lim_{x \rightarrow a} f(x)$
then: $g(\lim_{x \rightarrow a} f(x)) = \lim_{x \rightarrow a} g(f(x))$
alr
fresh horizon
in a basic level if the argument of the limit is a continuous function you can take the limit of the argument of the said function
check #old-network, here is definitely not the place
chrome gulch
in a basic level if the argument of the limit is a continuous function you can t...
Thats easier to understand
Thank you alot 🙂
.close
keen sluice
Guys, I need some help.
I've started a project with a friend of mine. The project is to translate the walking movement of legs into the game movement. We have a flex sensor on each leg tied to a knee brace. We measure the angle output by the sensor to determine if the leg is bending to a certain point. We use a microcontroller. When a leg passes a certain point/angle we record it as a valid movement. Between 2 valid records(alternate steps/legs) we obtain the time difference and convert this to a value to move the joystick. Microcontroller + Digital potentiometer connects with the joystick(Using a PS controller and we wanted to be able to use this on PS too, currently connected testing on PC).
Now our main concern is to detect when we stopped walking. Let's say I walk slowly and I suddenly stop, we need to move the joystick to the center instantly. We thought this kind of problem is mostly mathematically inclined and we have been stuck with this problem for months.
Please let know if this is the wrong channel
keen sluice
how exactly should we interpret that graph?
This graph is from the flex sensor on each leg. Each sensor output angle value
wooden veldt
indicating on that graph the points where walking has stopped would be useful
if there even is any stopping on that graph
keen sluice
what are the blue spikes?
Spikes are when stop bending leg and straighten it back
I will put some clear data grsph
stone stump
why do they only happen for one leg
in general it's weird that the blue graph is lower than the red
shouldn't they both be roughly the same just shifted left/right?
devout snowBOT
@keen sluice Has your question been resolved?
keen sluice
shouldn't they both be roughly the same just shifted left/right?
The issue is that with the placing of the flex sensor. Not much of identically looking data output
The narrow bends you see here when the leg is bend. So when the leg is straightened value is around -30 and -40 (Just negate minus, sensors has been placed flipped hence getting minus). Even though we tried placing the sensors identically same, the output values are bit different when compared to each other.
So once again, our main concern is making some sort of algorithm to get when the leg is totally stopped. By looking at the graph we can do that 🙂
Let's consider walking slowly, so the time between 2 steps would be around 1sec (for ex) and when we run that time will be smaller.
What we have tried so far,
*Monitor the time between 2 steps and see if the next step is going to be within the previous time-period and move the joystick to center. Problem is if we run and then switch to walk it will still center the joystick since the time taken is rather higher.
Also when walking let's say the time between 2 steps is 1 sec and if stopped walking, it will still wait for 1 sec before moving joystick to center (this is the main thing we are concerned about).
Please guide us. Any help means a lot. Thanks!
devout snowBOT
@keen sluice Has your question been resolved?
quartz wasp
Discrete Math Show the following semantic implications using derivations and rules of inference.
(p ^ q) ^ (q -> r) entails r
devout snowBOT
Discrete Math Show the following semantic implications using derivations and rul...
quartz wasp
I did
- p^q premise
- q->r premise
- p 1, simplification
- r 3,2 modus ponens
ill be honest I absolutely have no idea what I'm doing here
this is wrong and im unsure why
placid rover
your question would be more reable in latex. Symbols are \lor \land \implies
placid rover
,, ((p\land q) \land (q \implies r)) \implies r
woven radishBOT
quartz wasp
ahhh thanks
midnight violet
In the figure, m(2^)=m(3^) and m(1^)=m(4^) are given
Prove that triangle ABC = triangle ADC
devout snowBOT
In the figure, m(2^)=m(3^) and m(1^)=m(4^) are given
Prove that triangle ABC = t...
midnight violet
placid rover
!status
devout snowBOT
What step are you on?
- I don't know where to begin
- I have begun but got stuck midway
- I got an answer but I'm told it's wrong
- I got an answer and would like my work checked
- I have a question about someone else's worked solution
- None of the above
rotund heron
! status
devout snowBOT
What step are you on?
- I don't know where to begin
- I have begun but got stuck midway
- I got an answer but I'm told it's wrong
- I got an answer and would like my work checked
- I have a question about someone else's worked solution
- None of the above
rotund heron
Oh well lol
midnight violet
1
midnight violet
Ye
midnight violet
Two triangles are congruent, if they have a side and the 2 opposite angles of this side are respectively congruent
Oh
civic zealot
Hello, how do i "mathematically" write a portion of a cartesian plane (for example a square)
devout snowBOT
Hello, how do i "mathematically" write a portion of a cartesian plane (for examp...
placid rover
you mean the set of points contained within a square?
civic zealot
or the area under a curve but without using integrals
edgy owl
The question is to find the equation of the tangent line in standard form using the point at P(-2,3)
Using the methods that I thought were correct I did this, however the correct equation is 10x + y +17 = 0
I don’t really see what I did wrong… just adding that in the lesson we didn’t use the equation of the curve at all
devout snowBOT
The question is to find the equation of the tangent line in standard form using ...
edgy owl
The only thing I can see that I did wrong is not properly finding y2
I which might be the case
Thank you for all help in advance
hybrid snow
The question is to find the equation of the tangent line in standard form using ...
I'm assuming f(x) = 3x^2 + 2x -5
What is f'(-2) then
Also your limit is wrong
,tex \dxlimitdef
woven radishBOT
$e^{\text{Umbraleviathan}}$
edgy owl
ah wait nvm, figured it out dumb mistake by me you were right, i misunderstood the way we wrote the questions
.close
devout snowBOT
devout snowBOT
Available help channel!
hard trench
How is $A=P^{-1}BP$ equivalent to $AP=PB$?
(they are all matrices, and in particular A and B are square)
devout snowBOT
How is $A=P^{-1}BP$ equivalent to $AP=PB$?
(they are all matrices, and in partic...
woven radishBOT
mesmeriSe
hard trench
I thought if we multiply by P on the left on both sides then we would get
PA=BP?
this is equivalent to AP=PB?
wooden veldt
who is claiming that is the case?
hard trench
who is claiming that is the case?
my lecture notes
wooden veldt
can you show them
hard trench
hard trench
okayyy phew right thank you im bad at linear alg and i lost all my confidence after seeing this 😭
wooden veldt
seems like you know how matrix multiplication works so dont worry haha
slim sierra
devout snowBOT
slim sierra
how would i figure out d
thinking it has something to do with room temp being 20
not sure
how to start
knotty bolt
how would i figure out d
do you generally know how to find the rate of change on a function that describes like amount(time) ?
slim sierra
no
knotty bolt
i can do calculs
well, what would the first derivative of this function describe?
knotty bolt
but you know what the first derivative is yes
knotty bolt
like, the first derivative of an distance(time) function would be the velocity(time) function
slim sierra
wdym
knotty bolt
wdym
clearly there must be some real life appliance of derivatives, idk but this is how most are approached to it
knotty bolt
anyway, you should catch up to that some time, I won't explain that now
just know that the first derivative of your temperature(time) function is the change of temperature(time) function
so, to find the initial rate of cooling take the first derivative and plug in 0 for t
knotty bolt
oh so thats the answer? -40e^-3/2t
ah wait, is your T`(t)=-40e^-3/2t ?
are you sure?
slim sierra
we talking T or t
knotty bolt
the function is T(t), or Temperature(time)
knotty bolt
yes
slim sierra
so set temp to 0
woven radishBOT
Jigglyproff
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
knotty bolt
look at the table and find the correct rule to apply
slim sierra
slim sierra
How
knotty bolt
$f(x)=e^x$
$f`(x)=e^x$
woven radishBOT
Jigglyproff
slim sierra
So it stays at 80e^0.5t?
knotty bolt
not quite, you have to apply something here because you have \
$e^{n\cdot x}$ and not just $e^x$
woven radishBOT
Jigglyproff
slim sierra
Oh ok so 80e^3/2t
fresh horizon
do you remember the chain rule and the product rule
slim sierra
Chain rule?
slim sierra
So 80e^-3/2t?
fresh horizon
no...
can you tell me your choices of f and g
so that you can differentiate e^{-t/2}
slim sierra
Idk
fresh horizon
or that works too
slim sierra
Idk what that is
fresh horizon
but I recommend revising your calculus skills before continuing further down the examples
knotty bolt
use this for now, since the chain rule for e^nx functions is a bit nicer
slim sierra
Ok
knotty bolt
but I recommend revising your calculus skills before continuing further down the...
+1, for such physics graphs-related that must become more second-nature to you
slim sierra
So what is the derivative?
knotty bolt
So what is the derivative?
do you understand thishttps://cdn.discordapp.com/attachments/903486480075354182/1066840837994066061/image.png
slim sierra
Not really
knotty bolt
bruh just tell us
slim sierra
Didn’t want to seem really dumb
knotty bolt
Didn’t want to seem really dumb
it is dumb to not ask for help when you need help, thats what ppl say from kindergarten on
no shame in wanting to learn
slim sierra
Alr sorry
knotty bolt
anyway
chain rule is used to find the derivative of composed functions, aka functions like $f(x)=h(g(x))$\
in your case, you have $h(a)$ as $e^a$ and g(x) as $-0.5x$, a being g(x) evaluated\
to get the derivative of this, you do $h`(g(x))\cdot g`(x)$
slim sierra
What’s H and G in this tho?
woven radishBOT
Jigglyproff
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)
knotty bolt
What’s H and G in this tho?
new functions I made up to show that you have some kind of matryoshka
like
you have a function, then you wrap that function in another function, so you need chain rule to get the derivative of this
slim sierra
What’s the other function in this then?
knotty bolt
anyway, I told you g(x) and h(x) though
slim sierra
So what will 80e^-1/2t turn into
Maybe it would help for me to work back from the derivative
knotty bolt
https://cdn.discordapp.com/attachments/903486480075354182/1066843366110793788/266573406919589888.png
jus do this right
the last line, with replacement, basically says\
$\frac{d}{dx}(e^{-0.5x})\cdot \frac{d}{dx}(-0.5x)$
woven radishBOT
Jigglyproff
slim sierra
So I get -0.5x ?
knotty bolt
So I get -0.5x ?
where
slim sierra
**Jigglyproff**
.
knotty bolt
what happened to the e
fresh horizon
**Jigglyproff**
the left factor is a bit off
knotty bolt
yeah, I have no real way to show it better
slim sierra
So e^-0.5t
slim sierra
20 disspears
knotty bolt
https://cdn.discordapp.com/attachments/903486480075354182/1066844341974339584/266573406919589888.png
fresh horizon
sure
knotty bolt
you arent done yet
slim sierra
Oh
knotty bolt
$e^{-0.5t}$ is just the left term
woven radishBOT
Jigglyproff
slim sierra
80e^-40t ?
knotty bolt
bro what about https://cdn.discordapp.com/attachments/903486480075354182/1066844763510284449/image.png
fresh horizon
80e^-40t ?
no...
how about going step by step
starting from the original function T(t) = 20 + 80e^{-t/2}
I think you know the derivative of a sum is just sum of the terms differentiated
so as you said, yes 20 "disappears"
knotty bolt
well, I will write the full thingy rn, but keep explaining
fresh horizon
so all is left to finding the derivative of 80e^{-t/2}
do you remember the product rule
since we have the product of the terms 80 and e^{-t/2} we need that
slim sierra
Ok
fresh horizon
a reminder: $\left(f(x)g(x)\right)' = f'(x)g(x) + f(x)g'(x)$
woven radishBOT
biggboy
fresh horizon
I think you can figure what f(x) and g(x) are
slim sierra
I think there might a be a gap of knowledge Cus I recon you both American
fresh horizon
in this example*
fresh horizon
not really american
knotty bolt
I think there might a be a gap of knowledge Cus I recon you both American
im european, this was 11th grade for me
fresh horizon
hmm
fresh horizon
then I recommed using the internet to learn
there are a lot of channels on youtube that will teach you this
idk why they give homework on a subject you guys haven't gone over but, yeah
slim sierra
Ok but what’s the derivative Cus I can work bsck from that which would help me
knotty bolt
$T(t)=20+80e^{-0.5t}$\
$T`(t)=\frac{d}{dx}(80)+\frac{d}{dx}(80e^{-0.5t})$\
$T`(t)=\frac{d}{dx}(80)+80\cdot \frac{d}{dx}(e^{-0.5t})$\
$T`(t)=0+80\cdot e^{g(x)} \cdot \frac{d}{dx}(g(x))$, where $g(t)=-0.5t$\
$T`(t)=80\cdot e^{-0.5t} \cdot (-0.5)$
woven radishBOT
Jigglyproff
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)
fresh horizon
I mean if you can reverse engineer from that you can surely understand our explanations...
fresh horizon
**Jigglyproff**
Compile Error! Click the <:errors:504266556054962196> reaction f...
but here
knotty bolt
this is the work
if you are supposed to be able to do this, I can only recommend watching some yt vids on derivatives
knotty bolt
the $\frac{d}{dx}$ of a function
woven radishBOT
Jigglyproff
slim sierra
Or tell me a derivative of a different example
knotty bolt
the derivative of a function describes the slope
slim sierra
Ok
slim sierra
Ok
knotty bolt
you can see that the derivative is below 0 before the slope of f(x) hits the minimum, thats because before that f(x) is 'going down'
then f`(x) goes above 0, because f(x) starts rising
slim sierra
It is -40e^-0.5t ?
knotty bolt
yes
slim sierra
Nice
knotty bolt
https://cdn.discordapp.com/attachments/903486480075354182/1066847174962466967/266573406919589888.png
well, just had to put the factors together
knotty bolt
now you can put t=0 and t=2
no
if you put 0 for t inside that new T`(t) function, you get the slope when time is 0
slim sierra
Why does t = 2 aswell
knotty bolt
alas, T`(0)=initial cooling
slim sierra
By anyrhing to power of 0 = 1
knotty bolt
sure
knotty bolt
its $40\cdot e^0$, not $(40e)^0$
slim sierra
*ans
woven radishBOT
Jigglyproff
knotty bolt
yes
knotty bolt
the initial cooling, yes
slim sierra
Cool
knotty bolt
also, you need units
knotty bolt
that is also what you have to figure out some time, but now I tell you
since we took the derivative of time, the function now gives units in change of time, so divided by the units of time one t is large
and since 1t = 1 minute, your function T`(t) now has degree celcius per minute as unit
so its $-40\frac{°c}{min}$
woven radishBOT
Jigglyproff
knotty bolt
thanks u too
slim sierra
.close
woven radishBOT
marc
grizzled yew
Just split it into cases: Casper gets 1 pencil, Casper gets 2 pencils, Casper gets 3 pencils,…, Casper gets 5 pencils.
oh I’m dumb lol why didn’t I think of that
They are subtracting the number of ways Casper gets at least 6 pencils
Search up stars and bars
valid monolith
Could someone help me walk through the steps for the last prompt - being able to find the angle between the two functions
devout snowBOT
Could someone help me walk through the steps for the last prompt - being able to...
valid monolith
.close
devout snowBOT
@high oxide Has your question been resolved?
bitter swan
devout snowBOT
woven radishBOT
Garuda
supple knot
**Garuda**
Do you know mean value theorem for derivatives yet
supple knot
your two f(c) are different. Which one is it
bitter swan
your two f(c) are different. Which one is it
first one
woven radishBOT
Garuda
bitter swan
Yes it is it but i don't understand how to use it @supple knot
devout snowBOT
@bitter swan Has your question been resolved?
keen sluice
.reopen
devout snowBOT
@bitter swan Has your question been resolved?
bitter swan
.close
restive river
devout snowBOT
restive river
Hello
main gull
Your application of Pythagorean theorem is wrong
restive river
Wym
blissful cloak
x^2+5^2=12^2 right?
restive river
wym by application
restive river
my hypotenuse is x
lusty sapphire
wym by application
application = "how you use it"
blissful cloak
my hypotenuse is x
ohh
lusty sapphire
my hypotenuse is x
How do you figure that?
lusty sapphire
wym figure that
Why do you believe that x is the hypotenuse?
blissful cloak
the hypotenuse is directly across from the 90degree angle no?
restive river
main gull
Also there is no label for the right angle
blissful cloak
ok, good luck 🙂
blissful cloak
i think i got the answer so when you get the answer i can make sure its right : D
main gull
Depends on if that's what your teacher wants
blissful cloak
i would write it just in square root form
blissful cloak
Depends on if that's what your teacher wants
but yeah i agree
blissful cloak
i dont think so, do you wanna see my work for it?
restive river
Yeah that would help alot
main gull
First, do you know Pythagorean theorem
restive river
i know pythagorean theorem
main gull
i dont think so, do you wanna see my work for it?
Not the purpose of the server to give out answers
restive river
No im just looking at the work
main gull
i know pythagorean theorem
And that is?
blissful cloak
Not the purpose of the server to give out answers
i was only gonna show my work and explain it throughout
restive river
And that is?
The form is
main gull
i was only gonna show my work and explain it throughout
Still don't do that
blissful cloak
k
restive river
A^2 + b^2 = c^2
main gull
A^2 + b^2 = c^2
Do you agree that a and b are the legs of the right triangle and c is the hypotenuse?
restive river
Yes
main gull
So what is a and b?
main gull
From here
main gull
And then c is?
restive river
12
restive river
Yes
main gull
Not quite
main gull
No
restive river
??
restive river
my fault
main gull
Those are important
main gull
That is terribly formatted
main gull
Almost there
restive river
A + 10 + 144
main gull
And also, you said x is a, so why do you have a in there still?
woven radishBOT
dldh06
main gull
A^2 + 5^2 + 12^2
And also it's A^2 + 5^2 = 12^2
main gull
A + 25 + 144
Where is the ^2 for a?
main gull
And also, you said x is a, so why do you have a in there still?
And this
restive river
10.9
main gull
Yes
main gull
Apply that same thinking process to the rest
Label your a, b, and c
Plug in the values, solve
blissful cloak
Still don't do that
yo, just wanted to thank you, i see now that ive been teaching wrong.
thx for "enlightening" me. 
restive river
dawg could of just sent him dm
main gull
Or use #discussion/ #serious-discussion
main gull
What?
restive river
restive river
main gull
I wasn't asking that
restive river
Im an idiot bruh
i didnt even do the steps
i need to start paying more attention because mans be pointing out everything
restive river
Ok
I got some surface areas next
Now wit surface areas
Im 100% Good with these
so no need to relearn anything
I think i got this
lol
main gull
Here is my advice for you, follow a structure of something like this: equation, given, find, solution. If you know what topic you are doing, then you should know the equation/formula you are going to apply. Then label all the given info based on the formula you're using, write what you are finding, then find the solution
So above, it was Pythagorean Theorem so you know the equation that is going to get applied is a^2 + b^2 = c^2
restive river
👍
main gull
Label what you are given based on the triangle you have. Declare what you are finding, then do the work to find the solution
restive river
I really appreciate you alot
Always helpful
Ima fill this out
give me couple mins
Hello
I found a calculator
im good
.reopen
.close
devout snowBOT
restive river
🤦♂️
devout snowBOT
Available help channel!
silent lynx
hi
hybrid snow
Damn
silent lynx
can i get help
silent lynx
it says to treat x as a constant
so does that means that the limit is the function
?
quaint citrus
do i have bad intuition or is that a mistake
i feel like it should be ' trate a 'h' como una constante'
devout snowBOT
@silent lynx Has your question been resolved?
hybrid fern
foggy fulcrum
anyone know how to find a mean median and mode on a histogram? im so lost
foggy fulcrum
so i would have to do it for both axis for the graph?
OHH I SEE
thank you so much
quick question
if i do the mean, would i calculate all the x's then divide it by the number of x's there is?
wait a damn minute
im so lost now
😭
i would divide it by 10 right?
where are you getting 11 from im lost
oh i thought it was by this
i aplogize
😭
okay
so im finding the total of this?
that would be 27
let me do the other one
394?
and the mean would be 14.5?
oh girl i ate that
thank u so much
^^
what would be a good central tendency for money earned in baby sitting? im debating on mean
also how would i do it with a fraction? i have no clue how to do it
devout snowBOT
@foggy fulcrum Has your question been resolved?
foggy fulcrum
im not getting it
cus its fractions and whole numbers
i would say it would most likely fit a mode tendency right
devout snowBOT
@foggy fulcrum Has your question been resolved?
devout snowBOT
devout snowBOT
Available help channel!
mighty ginkgo
Hello, can someone help me. I have to find the general number of a progression where i know x0 , x1 and a vague formula
devout snowBOT
Hello, can someone help me. I have to find the general number of a progression w...
stone stump
one option would be to compute the first few terms and then try to guess a formula and prove it by induction
but probably not the best idea here
the other idea is to first assume that x_n could be lambda^n for some lambda
that gives you an equation lambda^2=7lambda-10
this you can solve for lambda
which will get you two solutions lambda1 and lambda2
you can show that the space of all sequences which satisfy the recurrence relation is a subspace of dimension 2
mighty ginkgo
stone stump
so it is spanned by the two sequences (lambda1^n)_n and (lambda2^n)_n
that means any other sequence has to be of the form x_n = a*lambda1^n + b*lambda2^n
with the two initial values you are given you can solve for a and b
stone stump
yes
mighty ginkgo
and what do i have to do know cause i couldnt understand
mighty ginkgo
so i can plug x_0 instead of a and x_1 instead of b
stone stump
well this is a linear system of equations with 2 variables and 2 equations
7 = a+b
20 = 5a+2b
I would hope that you know how to solve these
devout snowBOT
stone stump
youre welcome
devout snowBOT
Available help channel!
lofty monolith
if i have tan3x=4 and im tryna solve and the range is from -90 to 90 how do i get the negative solution?
devout snowBOT
if i have tan3x=4 and im tryna solve and the range is from -90 to 90 how do i ge...
hushed wraith
there is no negative solution
if tan3x = 4, there is only one x between -90 and 90 such that tan3x = 4
and it is positive
lofty monolith
lol what
red sierra
,w plot y=tan3x
woven radishBOT
red sierra
ohh wait
red sierra
yeah wait ur right
lofty monolith
got the positive solutions
but can't remember how to get the other one
been awhile
hushed wraith
?
lofty monolith
ye
red sierra
like pi/2
red sierra
ohh
hushed wraith
if tan3x = 4, there is only one x between -90 and 90 such that tan3x = 4
so i shud have said there is only one value for 3x between -90 and 90
not x
lofty monolith
yh
red sierra
i think you just need to convert -0.605 and 0.442 and 1.489 into degrees
lofty monolith
thats way longer lollll
long pasture
hi guys!
hushed wraith
so tan3x = 4 = tanalpha, say
then 3x = n*pi + alpha (n is an integer)
x = (n/3)*pi + (alpha/3)
hushed wraith
so tan3x = 4 = tanalpha, say
then 3x = n*pi + alpha (n is an integer)
x = (n/3)\...
find n such that this x is between -pi/2 and pi/2
long pasture
so we'll have to check arctan(4) in the range of -270° to 270°
lofty monolith
i remember the rule i think
find first solution
then minus 180
tan is the different one
red sierra
ah good point lol
ivory bluff
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ivory bluff
im doing a very similar problem any ideas?
im guessing there is a formula for R but idk
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ivory bluff
<@&286206848099549185>
edgy lion
ivory bluff
yeah
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@ivory bluff Has your question been resolved?
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@ivory bluff Has your question been resolved?
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abstract vector
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abstract vector
so my question is i dont get how we got 9 for y
so if can explain please
<@&286206848099549185>
im sorry i need to be fast
vestal dirge
We do not support cheating in exams
abstract vector
We do not support cheating in exams
no im not cheating this is a quiz
istg it isnt
so can you help please
what proof i can give that you guys can beleive that im not cheating
dark dawn
just looks like an open book assignment tbh
abstract vector
yeah but i just dont understand anything
bro you how did you guys know i was cheating
im not
but like what made you think that
can you guys please help me
wooden veldt
Are those your answers?
dull otter
hd pls
wooden veldt
Everything is filled in
main gull
They all look answered to me
main gull
Submit and see
umbral raft
https://tryitands.ee/ moment
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abstract vector
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magic tapir
Hi. This is a very open ended question: Tell me something interesting about the number 2023 or explain why you think it is a completely uninteresting number. There's no right or wrong answer but i just wanna see how creative the answer could get
devout snowBOT
Hi. This is a very open ended question: Tell me something interesting about the ...
winter patrol
what thoughts do you have about it
magic tapir
If we add the cubes of the integers from 2 to 9 and subtract the 1 , we get 2023!
magic tapir
If we add the cubes of the integers from 2 to 9 and subtract the 1 , we get 2023...
but i was looking for something more interesting
polar chasm
If we add the cubes of the integers from 2 to 9 and subtract the 1 , we get 2023...
Wrong, you get 2023
2023! is much bigger xD
magic tapir
xD
jovial mauve
polar chasm
yep
winter patrol
,W sum of x^3 from 2 to 9
woven radishBOT
polar chasm
:0
magic tapir
,W sum of x^3 from 2 to 9
and then subtract 1
winter patrol
it's a Niven number
magic tapir
There are Wikipedia pages for numbers.
i want a unique answer.
polar chasm
Hi. This is a very open ended question: Tell me something interesting about the ...
Suppose 2023 is completely uninteresting number. If it is, you can create an interesting fact, that 2023 is completely unintersting number! Therefore number 2023 must be interesting
winter patrol
I mean for a unique answer that no one's thought of, just make shit up that results in 2023
jovial mauve
It is a multiple of 7 with sum of digits equal to 7.
polar chasm
I just found an interesting fact. It's current year :0 I bet nobody noticed that
magic tapir
I just found an interesting fact. It's current year :0 I bet nobody noticed that
omg how did i miss that
winter patrol
It is a multiple of 7 with sum of digits equal to 7.
yeh, niven
magic tapir
yeh, niven
yeah
jovial mauve
niven?
polar chasm
When you add 1 to itself 2023 times, you get 2023 :0
winter patrol
the name for numbers with that property
magic tapir
When you add 1 to itself 2023 times, you get 2023 :0
bruh
polar chasm
Wow it's a square number, it can be written as (sqrt(7)*17)^2
Sorry, imma find some interesting fact. I will try to find natural number n, such that n*2023 will be prime number
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@magic tapir Has your question been resolved?
eternal marsh
woven radishBOT
phoestaclies
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@magic tapir Has your question been resolved?
restive river
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wooden veldt
How did you get your red 2x?
restive river
How did you get your red 2x?
I multiplied 3 sqrt 2x by 3 sqrt 2x
wooden veldt
And why do you think that is equal to 2x?
restive river
cause i was watching a video on rationalizing denominators
restive river
oh yeah youre right
restive river
Multiply it by that twice instead
like this?
i dont get why you would add the 2 though
wooden veldt
Yeah, brackets would make it less ambiguous
Well do the calculation and see what happens
restive river
Ok let me try one sec
wooden veldt
Do it, and you'll see
$\frac{\sqrt[3]{3}}{\sqrt[3]{2x}}\cdot \frac{\left(\sqrt[3]{2x}\right)^2}{frac{\left(\sqrt[3]{2x}\right)^2}$
woven radishBOT
ΣAC
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)
restive river
restive river
You did it
so the point of doing it was to get rid of the cube root on the bottom?
wooden veldt
Yep exactly, just one wasn't enough
restive river
would this method apply to all cube roots?
zealous fjord
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zealous fjord
i ended up getting like 653 somehow. i know that linear speed is v=rw
so i did 13*16pi
nvm, i got it lol
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trim thunder
can someone please help me find the variance and standard deviation for this set of data
devout snowBOT
can someone please help me find the variance and standard deviation for this set...
trim thunder
im supposed to use a graphing calculator but idk how to use it
i get different answers compared to a online calculator
pls ping when u reply
rigid oyster
To find the variance and standard deviation for the set of numbers (57, 68, 79, 82, 99, 115):
First, find the mean (average) of the data: (57 + 68 + 79 + 82 + 99 + 115) / 6 = 85.
Next, find the variance by subtracting the mean from each of the given numbers, then square the result of each subtraction:
(57 - 85)² = (-28)² = 784
(68 - 85)² = (-17)² = 289
(79 - 85)² = (-6)² = 36
(82 - 85)² = (-3)² = 9
(99 - 85)² = (14)² = 196
(115 - 85)² = (30)² = 900
Then, add up the results from each of the above calculations to get the variance: 784 + 289 + 36 + 9 + 196 + 900 = 2,214.
Finally, take the square root of the variance to get the standard deviation: √2214 = 47.14.
Therefore, the variance of the given set of numbers is 2,214, and the standard deviation is 47.14.
@trim thunder
main gull
To find the variance and standard deviation for the set of numbers (57, 68, 79, ...
Didn't I tell you before not to give out answers?
trim thunder
To find the variance and standard deviation for the set of numbers (57, 68, 79, ...
i get 83.3 for the mean
devout snowBOT
Show your work, and if possible, explain where you are stuck.
trim thunder
This is what the calculator says
trim thunder
Show your work, and if possible, explain where you are stuck.
i just added those same values and divided by six and got 83.3333333
main gull
Make sure you typed in the correct values
main gull
No the person who did the work above, did it wrong
trim thunder
OH
im supposed to put the mean-the data value in the second colum then find the variation on the calculator
i got the right answer when i did that
didnt know i had to inputt those values
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sinful quarry
i've got the rest down except the negation, i dont know how to opposite the if and then
devout snowBOT
i've got the rest down except the negation, i dont know how to opposite the if a...
wanton thunder
i've got the rest down except the negation, i dont know how to opposite the if a...
Convert this statement into a logically equivalent form. Then apply negation. You might need to use DeMorgan's Law here.
lusty sapphire
"If P then Q" is defined as "(not P) or Q"
sinful quarry
hm so
if a quad is a square, then it is not a rectangle
would that be it>
oooh wait conversion lemme convert it that could help
p <> q is true
to negate that it'd be -(p<>q)
hm
-p uh
wuz the negation of <> (if,then)?
lusty sapphire
What is <>
sinful quarry
hm so if p>q is true, then to negate that would be -(p>q) = -p < -q? right
but there is no < sign
lusty sapphire
"If P then Q" is defined as "(not P) or Q"
I added parentheses here to clarify
sinful quarry
ok so p is isolated
WAIT
THE OR
wait no
dang it
idk the opposite of if then
i am so lost
lusty sapphire
$p \rightarrow q := (\neg p) \vee q$
sinful quarry
so the opposite of if then is or?
woven radishBOT
SWR
sinful quarry
in that case, it would be "A quadrilateral is not a square, or it is not a rectangle."
is that it?
dang it
lusty sapphire
Looks good
sinful quarry
which translates to "A quadrilateral is a square, and it is not a rectangle."
das gotta be it
lusty sapphire
My advice : try to slow down. It feels like you're thinking faster than you're doing
sinful quarry
i am told that a lot, i will try to apply ur advice
lusty sapphire
It's all good. I was like that in my younger days
sinful quarry
so the answer is ""A quadrilateral is a square, and it is not a rectangle."
dense crow
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cobalt plinth
A bire tire has a radius of 9in what is the circumference of the circle. Could you lead me through the problem?
devout snowBOT
A bire tire has a radius of 9in what is the circumference of the circle. Could y...
royal tiger
What is the formula for the circumference of a circle?
royal tiger
that is not
royal tiger
$$C=\pi d$$
woven radishBOT
Bestower
cobalt plinth
Nonono
C= 2(3.14) r
R is 9
BTW the problem is in the terms of pi
Bestower#6073
Hello
<@&286206848099549185>
supple knot
C= 2(3.14) r
do you know how to substitute 9 into this equation?
woven radishBOT
Result:
56.52
are you supposed to use 3.14 for pi?
jaunty mantle
BTW the problem is in the terms of pi
.
supple knot
oh oops
cobalt plinth
18 times pi is just 18pi
How you get that
supple knot
C= 2(3.14) r
you have it here, but you used 3.14 instead of pi
cobalt plinth
Pi =3m14 simpliefied
supple knot
write it as $2 \pi r$. then multiplication can be done in any order, so it's equal to $2 r \pi$
woven radishBOT
riemann
supple knot
BTW the problem is in the terms of pi
you're not supposed to substitute 3.14 for pi because of this
cobalt plinth
9is radius
Why is no sub
There
Sorry
Why is there no sub for pi
Why do you leave pi by itself
cobalt plinth
you're not supposed to substitute 3.14 for pi because of this
Sp is that what Terms of pi mean
Leave pi on its own
?
supple knot
yes