#help-0
1 messages · Page 762 of 1
opposite and adjacent
x?
no
its 16
x is the hypotenuse
@fresh bolt was not asking you and would appreciate you not interrupting
OHH
@haughty holly i see you typing. this channel is busy, please move.
... ok
@reef geyser so with this in mind, would you be able to find the adjacent side?
i.e. the unlabeled one at the bottom
yes
okay, do it and tell me what you get
so that side is 12 ??
yes that side is 12
now you have both legs
do you know how to find the hypotenuse?
so then i just use the Pythagorus theorem right
yes, the Pythagorean theorem is exactly what i was hinting at
sure do i resend it?
it sounds like there isn't enough info to find y
yeah, no, there isn't. this question is messed up
You have enough info
Tan of x gives you what you need
After that it is just applying pythagoras theorems to figure out y
free channel?
@tulip pier please enlighten me as to how you will use the value of tan(x) when you know none of the side lengths of ABC
do you get what i am saying?
ok so what is the definition of tanx?
referring to the diagram, tan(x) = CB/AB
yeah so since tanx = 10/24
CB = 10 amd AB=24
what's your point?
then you get 60-24 to get BC
how to do 73? i thoguht the formula for difference quotient was (f(x+h) -f(x))/h not (f(2+h) - f(x))/h
@autumn forge channel busy please move
alright my bad
@tulip pier where are you getting it from that AB = 24?
tanx = 10/24 right?
nobody said that CB had to be 10 and AB had to be 24
a/b = c/d does not imply that a=c and b=d
why couldn't we have CB=5 and AB=12 instead?
or maybe even CB = 2.5 and AB = 6?
or any other combination that gives the same ratio?
dude ok so you have tanx=10/24 and tanx=CB/AB
CB/AB = 10/24 does not imply CB=10
if CB were 5 and AB were 12 you would also have CB/AB = 10/24
you cannot say that CB = 10
and you cannot say that AB = 24
you can cause that is what the question gives you
because the fraction within a trig function can be manipulated to get triangles of different sizes
no, the question gives you tan(x) = 10/24 and nothing else
and the question gives us that specific triangle size with those number
10/24 and 5/12 are the same fraction
the way it's written cannot and should not be relied upon like you're trying to insist
draw me a 10/24 and a 5/12
if they wanted to give you either CB or AB directly then they should've given you CB or AB diesctly
are they the same triangle?
they aren't, so what? the angle in them would still be the same
and the angle is all we're given
yes, the ratio
so that is the lengths we use
the tan(x) = 10/24 says it is
no it doesn't
by that logic look at part a of the same blasted question
we're told tan(θ) = 4/3 but the opposite side is not 4 but 16
according to you writing tan(θ) as 4/3 would somehow be wrong and it shouldve been 16/12 instead
you're insistent on completely ignoring the fact that the fractions 10/24 and 5/12 are ONE AND THE BLOODY SAME
bruhhhhhhh
they arent different as you keep trying to claim they are.
AB isn't 24. we CANNOT conclude that AB is 24.
if your talking about a triangle ratio it is
no it fucking isn't
WE can conclude because that is what the question tells us
you don't suddenly get to treat two equivalent fractions as different just because we're talking about triangles
well ok how are you gonna do the question then?
that's not how things work in math
i've already made myself clear: there is not enough info to do the question
IT IS A TRIGNOMETRIC FUNCTION
SO WHAT IF IT'S A TRIGONOMETRIC FUNCTION
THAT DOESN'T MAKE ANY BLASTED DIFFERENCE
if AB were 12 and BC were 5 we would have the EXACT SAME value for tan(x)
the EXACT
SO IT THE THE RATIO OF THE TRIANGLE THE MAKES IT UP
FUCKING
SAME
JUST BECAUSE IT'S WRITTEN AS 10/24 AND NOT 5/12
MEANS
JACK
FUCKING
SHIT
IT DOESN'T MEAN ANYTHING, AND YOU CANNOT DERIVE ANYTHING FROM IT
bruhh this guy
i beg your pardon?
but i would like some assistance in channel q1 when u guys are done, take ur time ofc, ty
guy hjahah
lol

the question gives tan = 10/24 and he says the lengths could be 5 and 12
i'm not a he
he
this guy is pretty common
i dont think he meant it
with
gender
weighed to it
well even if you're talking with a girl i dont usually hear "this gal"
well idk what you are from your profile pic through discord lol
their status
i am sorry this person
my about me literally has my pronouns in it
idk just my 2 cents
maybe hes not reading your about me 
you have no excuse
girl + girl = guy
well tanx = 10/24 means that opposite is 10 and adjacent is 24 you can ask someone
(can someone please help me in q1 😄 )
math
no it doesn't
no it bloody doesn't, duck
by your logic
in part 10a
tan(θ) = 4/3
would mean the opposite is 4 and the adjacent is 3
no the channel is taken :D
which would directly contradict what's actually stated in the question
q2 then 😦
its quick anyway
AND you're misgendering me, which is unrelated but something i take issue with nonetheless.
well i am sorry i did not click on a profile of a user i have never talked too until today m'lady
ok so have you learnt about sin(pi/3) and stuff like that?
ann sounds like name from vietnam
what is sin(pi/3) in it's exact form?
sin(pi/3) = sqrt(3)/2. what's your point?
you could write it as 2sqrt(3)/4 too.
you could write it as 42069sqrt(3)/84138 if you so desired
it's the same value, just written differently
but the are different triangle correct?
what are you talking about?
you didn't bring up any triangles.
all you asked me for was the sine of pi/3, or 60 degrees
so within that question would a tanx=30/72 triangle fit in?
i am talking about the question above that we are answering
if you mean a triangle whose legs are 30 and 72 then you should say "a triangle whose legs are 30 and 72"
this triangle would have the same angle A as the ABC in the diagram
and due to other things in the diagram, 72 is too large to be the size of AB
yeah so it cant be that right so it has to be a specific triangle
no it doesn't.
no
it cant be too big
there are infinitely many possibilities
and nobody said any of the lengths had to be whole numbers either
your looking way too much into this
we could have its legs be 9.23774 and 22.170576
i am not looking too much into this
i'm just trying to dispel a misconception you're having
if i told you to draw a sin(x) = 1/2 what would you draw?
i would ask you to clarify what you're talking about
do you mean a triangle with an angle x such that sin(x) = 1/2?
do you mean a triangle with an angle x such that sin(x) = 1/2?
the question is draw sin(x)=1/2 that is it
that's it, just "Draw sin(x) = 1/2" no further words or instructions?
hey can somebody suggest a chemistry related server regarding doubts,discussion etc.
if that isn't what you meant then too bad so sad
ok cool you got 0 for the question
Can someone look over this, I have looked at it so many times and nothing seems to be wrong from it. I need to figure this out for my project.
i am done maybe someone else can explain it in a way you understand
see #old-network
Do you not understand that trig functions are ratios?
do you mean that it's somehow my fault that i couldn't understand what your 'question' wanted me to do from deliberately vague wording?
is that what you're saying? @tulip pier
i've said it before and i'll say it again
tests can be, and often are, flawed
Duck be nice
your refusal to acknowledge that is concerning
find a way to get the most marks
oh, so you're a grade-chaser.
that is what you do in a test yes
you don't actually give two shits about the math, all you care about is playing this fucking game of telephone with your teacher.
for the record, to ‘draw sin(x)=1/2’ is to draw the vertical lines at values of x satisfying sin(x)=1/2
you mean like for a graph of y=sin(x)?
Hey @tulip pier
now this convo has been going nowhere for the past 10min and i see no reason to keep it up
?
Just invited you to a discord where they actually help and not insult people who are asking questions
i’m convinced the prior question is unanswerable until more relevant details are given, and let’s leave it alone
are you saying i insulted duck
Yes i am LD
😄
Dont be rude and just help people
Swearing at them isnt assistance
duck isn't even the OP lol
Ok and? is swearing ever useful
let’s all move on from this convo
and you cannot and will not tell me when i can and can't say fuck
Look lets just put it behind you get 0 on the test and i get the mark cause i have complete the question
sigh
what the fuck
b&
thank you roketto
also ty for not immediately deleting their msgs so i could more easily block them
,rotate
I found the first point that the graph is above 3.2 but I can't get the other point
For sin(t * pi/6)=2/7 if you let u=t * pi/6 do you see how on the unit circle there are two values for u that make sinu=2/7 in the interval 0 to 2pi?
And then every other angle u that satisfies sinu=2/7 is just one of those two angles plus 2kpi for k an integer?
It helps if you look at a unit circle to see intuitively I guess.
But any sine value greater than 0 has two angles that produce it in the unit circle.
can you post this in another channel please?
I did not really look at your work besides that Duck. I just noticed ur trying to solve an eqn of the form sin(ax)=b which can be figured out in terms of the unit circle like I mentioned.
?
yeah i just need the 2 points where the grpah is above then intergrate to find the area under the curve
have you read the rules in how to ask a question?
What, why integrate?
I did this before and nothing happened
I just send my work and they helped me
It's more of a courteousy thing.
should I be doing something else?
Since duck already asked a question
For ur sisters thing mixed fraction notation is sorta misleading
It's shorthand for adding rather than multiplying
i need the times that the waves are above 3.2m which the vaules on the y axis so i would intergrate right?
So y=sin(ax) gives the height right?
(a=pi/6)
Well I guess y=3+0.6sin(t * pi/6) does
yeah the y is the depth of the wave at a point in the day
Okay so the solns of this eqn for a constant y=3.2 tell you when the wave rises above and below 3.2
So don't those solns tell you exactly the times the waves are above 3.2 meters?
is this channel still in use
nah it is done
did i do this right?
for the sample standard deviation i took the square root of the given variance
sqrt(17.6) = 4.20 and sqrt(10.93) = 3.31
what was n?
mb i just realized i didnt include that
heres the full thinbg
i just put n as 20
because there were 20 petri dishes
it may need to be 10 though
i wasnt sure on that
what do you think?
pre sure it is 10 as this would be a form of bivariate data
as the dark is getting calculated seperately
so it would be standard error: 1.328
and 1.047
ohhh ok
so then
OHHH OK
do you know what id be doing for this?
the left one is SE
so for the dark, the SE is 1.33
would i just draw a line going from the top of the dark bar down to 1.33?
yeah
Hey! I was just wondering like what's the difference between polar form and modulus argument form?
none really. both use magnitude & angle
in polar/exponential/phasor form
$$r\cis(t)=re^{it}=\ph rt$$
Dreadful Encore of Twisted Karma
Try doin somethin using dot product
ok so
I saw that
but I think I need to convert from spherical coordinates or cylindrical
I'm not sure which I need to convert from?
and I also don't know how 3 dimensions changes this
and I also don't know how the point given changes this
how to be smart
?
can someone help me out it's past midnight
I'm starting to not be able to think straight I just need a little nudge
Gotcha thanks dude
@reef dust hey if you're still here I still need help
can anyone tell me how to do this
Yea wht is it ?
the question I posted above
I'm not sure what to do and I don't really know how to handle the at point P part of the question
so I'm sort of lost
I keep trying to do the dot product in different ways but I keep getting weird answers
How do you describe a linear equation in your own words?
Is there more to this question than just that?
Well, I start to speak. I have to use my knowledge from high school
I guess you can always say "the line from this pt to that pt"
Or "the line through this pt with slope <blah>"
I make sure to reflect on what I'm saying in case I am saying something wrong, as linear equations are a very specific thing
Um yes also What common characteristics do these equations have?
There's a couple common forms of a line. Slope intercept is one and another gives you the equation of a line given one point and the slope.
And this sir??
Ty btw
I forgot the second one also needs the slope.
Slope intercept and point slope are the names of the things I'm explaining poorly.
Okii ty sir!!
can someone explain this to me
so far i've always expanded then used dy/dx
is this method faster?
lmao did they just write d/dx *x -1 to represent the derivative of (x-1)
but anyway, they used the product rule
say you have a product of two functions f(x) and g(x), the derivative of f(x)g(x) is f**'(x)g(x) + f(x)g'**(x)
so dy/dx of (x-1) = 1
1(x+2) = (x+2)
dy/dx of (x+2) = 1
1(x-1) = (x-1)
x+2+x-1 = 2x + 1
so my main question is: would this be faster then simply expanding and using dy/dx?
just use y'
well "faster" kind of depends here, if you feel like you can expand (x-1)(x+2) faster than just do that
if you feel like you can not expand (x-1)(x+2) very quickly then use the product rule
either way, you would still end up with the same answer and the marker will not care at all
i'm used to dy/dx and it's been shown on my textbook, so i'm going to use dy/dx
also i'll expand it's faster for me
also I have a somewhat dumb question
waler
say i had this term $\frac{x^3}{y^2}$
Slime_Bob
okay i'll do that
how would I represent it with uhh
like move y up
would it be x^3y^-2
right?
yea
yes
btw why not just expand and diffrentiate
i mean product rule is normally used for something like xsinx
yeah we haven't learn that stuff yet
currently having an antidiff and diff SAC
wait
are SACs an australia only thing
yeah but your atar is calculated using your study score
which is calculated from SACs and other stuff
oh is hsc a NSW thing
oh yea i forgot that our country is alittle stupid and like to call it different stuff
in VIC, it's like this
SACs (School Assesed Coursework) goes towards study score, which goes towards your SAC
which country?
wait wait what about the vce then
you can only get SACs in VCE subjects
man it's hard to understand and even harder to explain
like my god i spent at least 6 hours trying to understand it
and i still don't get it thaaat much
Hi there does anyone know how to do this?
Find all the complex solutions to z^4 + a^4 = 0, where z ∈ C, a ∈ R, a > 0,
and illustrate them in the complex plane.
Hello everyone!
Why do we define basis of vector-space and span of vectors?
Can someone help me see the actual picture!
lets say that 20 apples are distributed to 4 children, each children has at least 5 apples, whats the most amount of apples a children can have?
this is primary school level math but i havent done it in a while so i forgot 
Since each child must get at least 5 apples, hence most apples any child can get is 5
Okay let's try again
draw 20 lines representing 20 apples. Since each child must get atleast 5 apples, so cross out 5 lines for each child(because lines are apples now), how many lines remain now?
i think i understand now
if everyone gets the bare minimum of 5 you already run out of apples to give
have you done stuff with vectors in two and three dimensions?
maybe i could motivate the ideas of basis and span based on that, if you have
i dont know if the problem is with the answer or what but heres the question:
"the remaining number of 4 divided numbers is 33, each number is not less than 28, whats the biggest number among the 4" (i translated this from chinese lol sorry if something isnt spelled right)
heres my working:
33 * 4 = 132 (max number)
28 * 4 = 112 (minimum number)
132 - 112 = 20
28 + 20 = 48 (max value a number can have)
but the answers does not have a 48 among them
i think something was lost in translation here...
@grave hinge let's move to #linear-algebra just in case
well i'll use algebra to show u the question:
n / n / n / n = 33
"the value of each n is not less than 28, whats the possible biggest value n can have"
is this (n/n)/(n/n)
or ((n/n)/n)/n
or what
also maybe don't use the same symbol for different things
@main zephyr Excellent
sorry potsu i have no idea what you're talking about
Yes,
I have done basic operations, dot, cross etc
I am studying from Khan Academy!
See you there mate
"the average number of 4 numbers is 33, each number cannot be lower than 28, what is the maximum value a number can have"
oh AVERAGE!
this is what ive done so far
33 * 4 = 132 (max number)
28 * 4 = 112 (minimum number)
132 - 112 = 20
28 + 20 = 48 (max value a number can have)
so it's (a+b+c+d)/4 = 33
yes
48 seems to be the right answer...
yea...
-mode is the number repeated most often
example 10,10,11,12,13
mode =10
what if no repeated number?
then there is no mode
There can be 2 modes though?
or if you want, every number present is a mode
yeah, that seems more accurate in my opinion
don't reply-ping me twice in a row please
Sorry, I was just correcting smth...
@cursive bloom Are you familiar with coulomb's law!
Wonderful!
Also, ask yourself, how would you calculate forces if the charges are present in different media
is this free right now?
i got a riddle asking
the product of two successive odd number is 35! and using variables and operation symbols prove it
35 factorial right?
What I would do here
yes
Well we know right off the bat the factors of 35! by definition of the factorial
Is direct proof
Woah this took a while to send
You know an odd number can be generalised as 2n-1 or 2n+1
yes but i forgot
And you know the factors as gaunter said
Yes. The bigger factors would have to equal 2n+1
i learnt it on arithmetic progression
I don't see how this can work though. An even number times an odd number is always odd right? And an odd number times another odd number is always odd too
Multiplying two odd numbers would require 35! to be an odd number. But this is impossible since 2 is a factor
are you sure that's exactly what it says
Okay wait
as-is, it is impossible to multiply two odd numbers - let alone two consecutive odd numbers - and get 35 factorial.
If it was just 35 alone, it would be 7 and 5
Using variables and operation symbols, express each of the following verbal statements as algebraic statement:
now question- The product of two successive odd number is 35*
yes
That's also impossible, 11 is prime
Yeah
so we're just translating statements into symbols, without regard for whether the statement itself is true or false.
am i understanding this correctly?
You are, there is no solution
then perhaps "the product of two consecutive odd numbers is 11" would be (2n+1)(2n+3) = 11
p.s- its answers is on back of my book is z (z+2)
just z(z+2)? not z(z+2) = 11?
Ohhhhh
They just want
You to generalise it
That makes sense
yeah =35**
...
???
Bruh
lol i made a mistake
Well the same strategy holds. Write down all factor pairs of 35 and find the one where they are two consecutive odd numbers
gaunter
that wasn't the question
if eive d is to be taken at their word, all we need to do is write down the statement symbolically
yes
but thanks for giving a idea
i'll be honest
there are many ways to translate your statement into symbols
any exercise that insists or implies that there is one and only one correct translation is a bad exercise
I prefer the (2n-1)(2n+1) personally
Same, it's cleaner
Nice difference of two squares equation
sure, that's entirely possible
...........
the sticker is literally named "spivak smelling his shoe" but ok
If the determinant is 0, is the area of a transverse vector a and vector a 0 when it's a parallelogram and 0 if it's a triangle as well?
if the det is 0, then the oriented volume is 0
vectors dont have area also
i mean you can draw a parallelogram if you have two vectors
will the area of that parallelogram the 2 vectors form be 0 if the determinant is 0
yes
cause the operator defined by the 2x2 matrix will squish the plane into a line or the 0 vector
If the determinant is 0, the volume of the region with columns is 0
will it just be 2 zero vectors then?
I dont need an echo.
no
Okay
you can have non-zero 2x2's with det 0
can you try drawing what will happen if det(vectorA, vectorB)=0
.
Sorry, but you didn't mention what I said above, and I thought it was interesting for them to know
The 2 vectors forming the parallelogram will map to the same line in R^2 for example
i think i know what you mean now
U guys seem smart, I like ur energy
*mosh smart
$\begin{bmatrix}1&2\2&4\end{bmatrix}$ has det 0, and geometrically the column vectors are both in the span of $[1,2]^T$
Mosh
thx xd
Tried doing math wanted to get good at it but just cant hahaha
why I appreciate the energy
Im better at using my body than brain
Cya all, keep working hard and u will change the world 100%
weird flex but ok 
Yes, both vectors lie on that line segment
so the parallelogram they form has to have area 0
since a line has area 0
yeah okay got it
how do you decide what are the "possible factors" of a polynomial
?
rational root theorem is what it wants you to use
or you take +1 or -1 and plug in p(x) and see if you get 0
How do we prove that$\ \sum_{n=1}^{\infty}\frac{1}{nx^n}=\ln\left(\frac{x}{x-1}\right)?\ $
Where $x\in\mathbb{R}-(-1, 1]$.
VardhanR
integrate a suitably formed geometric series perhaps?
I'm looking for help for a price calculation where the price increases more heavily the higher the input number gets.
For example, some formula that allows me to input numbers between 20-35 that returns an increasing value the closer we get to 35.
20 = $75,000 ($3,750 each)
25 = $150,000 ($6,000 each)
26 = $175,000 ($6,730 each)
35 = $350,000 ($10,000 each)
Aedra
I wanna die
a + a + b + b + a − b − a + b − b = __a + __b
ignore the end with the underscore
,help
I wanna die
a + a + b + b + a − b − a + b − b = a + b
ignore the end with the underscore
Command `I wanna die
a + a + b + b + a − b − a + b − b = a + b
ignore the end with the underscorenot found! Use the,list` command without arguments to see a list of commands.
,help a + a + b + b + a − b − a + b − b
Command a + a + b + b + a − b − a + b − b not found!
Use the ,list command without arguments to see a list of commands.
so im trying to find the best algo to find this pattern 1111 41 1411 111421 it counts how many of each number are there, i.e. 4 times 1 so 41
i know this has a name and i'd love if someone tells me the name of the algorithm, thanks in advance!
,list
Use ,ls to obtain a briefer listing, and use ,help <cmd>to view detailed help for a particular command, or ,help to view general help.
If you still have questions, talk to our friendly support team here.
Render LaTeX code and configure rendering options.
tex: Render LaTeX code.
ctan: Searches the ctan
texdoc: Searches the texdoc
autotex: Toggle whether your LaTeX is automatically rendered.
preamble: View or modify your LaTeX preamble.
texconfig: View or modify your personal LaTeX rendering options.
guildpreamble: View or modify the guild's default LaTeX preamble
Guild administration
config: View and set the guild configuration.
rmrole: Deletes the provided role
disable: Disable commands in this guild.
editrole: Create or edit a server role.
autoclean: Automatic deletion of messages in the current channel.
forgetrolesfor: Forget stored persistent roles for one or all members.
How do I find the LCF of 4, 9, 16, 25 and 36?
LCF means least common factor
I know to prime factor those numbers, but then I dont know what to do with it.
Like 4 = 2 * 2
9 = 3 * 3 and 16 = 2 * 2 * 2 * 2 and so on.
for each prime, you take the largest amount
2, you find the number with most twos, and take that many
and so on
2^4 * 3^2 * 5*2?
yes, that
wait, divisor
no, it's the opposite
you look for the least amount, and take that many
if it has none, that counts, you take 0
no what
"least common factor" is neither
it's just always 1
it probably doesn;t mean least common factor
occupied?
no
2nd differential
yeah, just that thing twice
wdym
differentiate twice
^
use ur textbook
its a bit long-winded to explain it on here
this is something you should've learnt throughout the year
there are some very good, very simple videos online. Try TLMaths on yt
no
no
yeah no
dont change the question.
it's upside down
lol
$\frac{1}{t}=t^{-1}$
Mosh
@vestal oriole
it's 20 × t^-1
oo
So, I'm going back through some random stuff from first year of ALevel maths, and Im going over the cast diagram. I can easily use it to find values for theta. Eg sin(x) = 1/2 find x, etc
but I'm finding it difficult to find values for sinx, tanx, cosx
eg work out the value of tan135 using the cast diagram
any tips lol
what quadrant is 135 in?
hmmmm
Yes, so tan is what in the 2nd quadrant?
negative
ok, and your reference angle is 45, so it's -tan(45)=-1
why is my reference angle 45 though?
omg, so i confused myself. I got -1 before, but then I tried the same method on tan120
and then double checked it on my calc and it was wrong
my calc was in radians 🤣
ok
thanks for your help
is this full
u can use it now
ok i need help on some trigonometry i’m in geometry but they are giving me this
what year/grade are u in
going into 11th but i’m finishing some 10th grad geometry
ok ye makes sense
ok
so this is relatively simple stuff once u get the hang of it
have u used SoH CaH ToA before? @rose geode
it’s not an exam it an online academy
yea
ok
1 second, im going to write some stuff down and post it to show u
@rose geode
u need to learn the theory to be able to do the question
if this isnt helpful just search "Soh cah toa" on yt
if u want me to keep helping lmk
hi guys does anyone know how to solve this
ok so out of the opposite, the adjacent, and the hypotenuse, which 2 sides on there do you have values for? @rose geode
@edgy breach opposite and adjacent
tan so i would divide them
so tanx = 8/10, yes, but then u are not done
so tanx = 0.8
now, which calculator do u have?
@edgy breach the standard one on my iphone and desmos
Imagine not using PhotoMath™
i have that but it doesn’t work for trigonometry
why would I use that when I can just... do the math?
Imagine not having a casio fx cg50 smh
ikr
ok go on desmos
@edgy breach ok
ok
so to the nearest tenth it's 38.7
degrees
then when u have another question like that
you just need to relabel the different parts of the triangle
so if you have to find y next
u will need to change which side is the opposite and which is the adjacent
then work it out from there
using the info I gave you in the picture
ok thank you have a good day
how to solve this qn?
you2
integration
using second order differential?
integrate it however you'd like
You have to wait at least 15 minutes before pinging helpers
ok
Yea
The topic was quadratics and parabolas but I just wasn’t sure how this would go into the form of it
I tried a bunch of different things but it all didn’t really make sense
@restive locust the basic idea of the problem is to form two equations in two variables and solve it.
hi all
@restive locust For first equation use speed distance formula, with variable time t, constant speed v and distance 108. For second equation add 2 in speed and subtract 9/2 hrs. Then solve the both equations.
A phone number is built of 5 numbers. The last number is 6 and all number are equal to 0. Each number is bigger than the one beforehand
Find the number of options available for phone nukbers
Oh right. That actually makes me feel so stupid because the topic wasn’t about speed I completely forgot I could use speed / distance
I’m so tunnel visioned lmao this gives me some insight to handle future questions thanks @dusky bluff
Is there any way to do this without bruteforcing the amount of numbers?
@latent iron Are you clear about you problem. I have difficult understanding it." all numbers are equal to 0" statement.
All digits in the phone number are not equal to zero
1 through 9
They are actually 1 to 6 since the last number is 6
But that's a question given on a limited time exam and I wondered if there is a fast way to solve it
Since the last digit is 6, the only possible remaining values are 1 to 5. But we need to select only 4 of them. So answer would be 5 choose 4.
@latent iron the answer is 5 possible ways.
and it said “to include (part of a curve, surface, or solid) between two points, curves, or surfaces”
A chord AB of length 2 cm is drawn in a circle of radius 3 cm. A diameter BC is constructed, and the tangent from C is drawn. The chord AB is extended to meet the tangent at D. Find the length of AD.
my question still needs answering
<@&286206848099549185>
srry thought that was a answer to the question on top
np
stats q:
when taking the standard deviation of a set of data
why do you divide by n-1
instead of just n?
...
isn't the goal to take the average squared difference? so if there are n differences you should divide by n?
sorry my question is still open
.
draw it
Hope this helps, it is from my book
"It is natural to wonder why the sum of the squared deviations is divided by n − 1 rather than n. The purpose in computing the sample standard deviation is to estimate the amount of spread in the population from which the sample was drawn. Ideally, therefore, we would compute deviations from the mean of all the items in the population, rather than the deviations from the sample mean. "
Chord tangent theorem
is the answer 16?
thanks but that doesn't explain anything
of course it would be better to work with the entire population instead of the sample. but why n-1 ?
It's an estimate the amount of spread
yes but why n-1 instead of n
n-1 overfits the data
n+g=72 right?
g(other girl)
n(the girl who gives eleven cards)
2n=g+11
or n-11=g/2
Yes this one is right
Wait actually
it's close, remember that g now has 11 more
?
Also from my book,
"It is a mathematical fact that the deviations around the sample mean tend to be a bit smaller then the deviations around the population mean and that dividing by n - 1 rather than n provides exactly the right correction"
It's just to fix the error
to fix the error of over fitting
if you dont use n-1 you will develop a model that will over estimate. doing n-1 fix that error
yes, i think i just said it in a way thats easier to understand than your book 😛 hahaha
You probably just read it and summarized it
I am a data analyst...... i know what the point of n-1 is without your book.
what is overfitting and why is it bad
No, 2(n - 11) = g + 11.
The girl who gave 11 has 11 less. The other girl has 11 more.
Or, n - 11 = 1/2(g + 11)
Either one.
@tight locust It's n-1 because you're estimating std dev using the sample mean; n-1 are the degrees of freedom. If you had the population mean to calculate the population std dev, it would be n. Using n-1 gives you an 'unbiased' estimate. see: https://en.wikipedia.org/wiki/Unbiased_estimation_of_standard_deviation
In statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated value of the standard deviation (a measure of statistical dispersion) of a population of values, in such a way that the expected value of the calculation equals the true value. Except in so...
Can I use this to prove that n^0 = 1
If you want to prove n^0 = 1, then you can't use the fact that n^0 = 1 in your proof.
I didn’t
N^0 is infinite root lol
Let me explain
The radical of a number over 1 is always over one
this is effectively x radical y
As y approach’s 0, x approaches 1(never going under it)
But how did you then get to 1?
It’ll make sense
So if y is equal to infinity, which will make 1/y = 0, then the exponent will equal 1
So x radical 0 = 1
So x^0 = 1
Get it?
Why must it equal 1
It is one
Prove it
Oh I get your question
Typo? Exponent will equal 0
The radical/exponent of every number over 1 is at least 1, so as the number decreases it will come closer and closer to 1
Correction: the number will equal 1
And yeah the exponent will equal 0
So it sorta converges towards 1
Hence the limit
@placid zinc does this make sense
I’m really bad at explaining
But I think I did a good job
Yeah it makes sense
You can also use repetition permutations which are x^n, if you have x elements and 0 slots your gonna have 1 combination which is null
You may want to write a little bit explaining it, if this were a real proof on a test, makes sense now
For sure
There's a faulty logic there. We don't define x^n as "the number of permutations of x elements into n slots".
is there a on going question ?
I’m both cases, there’s an empty variable which is always gonna result in null
Never thought it was the slots I just guessed
Since it doesn’t matter
1 combination
Null
I never said that
You did
There are no assumptions made
Infinite root if x makes no sense
Yes
What I meant is that as n approach’s 0, x approach’s infinity, so when n is 0 x is infinity
Now you can salvage it by showing the limit is 1, then show the limit US equivalent to n^0
So the infinit root of x is x^0
Hence getting n^0=1
So yeah the infinit root part isn’t wrong
Yes but it arbitrarily approach’s it
.
I know I said that accidentally
@glass lichen does it make sense
In theory x radical infinity is in fact 1 I still insist
It really depends if you think convergence is good enough
What numbers would make the denominator zero?
Heh.
Set the denominator equal to zero and solve
Epic.
Don't be telling answers
Shit yeah
is f(x) = 0 a function?
👍 a sort of function
a constant function
Delta0001
If yes, then can I get some textbook reference which says that for inflection point f''(x) doesn't need to be defined
If no, then please explain why not
when will the function $y = 2x - 16$ have the biggest value if you can insert $${-8,-6, -4, -2, 0, 2, 4, 6, 8}$$ at x's place
Shaky
Why is there a double negative?
Shaky
Here you just have -16
Here you have -(-16)
it's just me being sleepy
Which is it?
if you have y = 2x - 16, the function will have the biggest value when x=-8
oh wait maybe not
$$2*(-8) -16 \neq 32$$
i know
dldh06
i'll just try with them all ig
y = 2(-8) - 16= -32
y = 2(-6) - 16 = -28
y = 2(-4) - 16 = -24
y = 2(-2) - 16 = -20
y = 2(0) - 16 = -16
y = 2(2) - 16 = -12
y = 2(4) - 16 = -8
y = 2(6) - 16 = -4
y = 2(8) - 16 = 0
so the biggest value is when x=8, right?
Yes
@elfin talon would you like to see my proof using your idea?
Yeah pls
Ok let me TeX it
Go on then
RTP: $\lim_{x\to\infty}n^{\frac{1}{x}}=n^0=1$
First, since $n^x$ is continuous $$\lim_{x\to\infty}n^{\frac{1}{x}}=n^{\lim_{x\to\infty}\frac{1}{x}}=n^0$$
Next, let $\lim_{x\to\infty}n^{\frac{1}{x}}=L$ then we want to now show $L=1$
Consider $\ln(L)=\ln(\lim_{x\to\infty}n^{\frac{1}{x}}) =\lim_{x\to\infty}\ln(n^{\frac{1}{x}})$ since $\ln(x)$ is continuous on $(0,\infty)$
Then, $\lim_{x\to\infty}\ln(n^{\frac{1}{x}})=\ln(n)\lim_{x\to\infty}\frac{1}{x}=0 \ \implies \ln(L)=0 \iff L=1$
Mosh
Mosh
Where can i go, to ask simply maths questions, please and thankyou
Didn’t consider it
simple*
Sorry yeah
Ask here
My answer is wrong, what am i doing wrong in regards to this question
A goat is tethered to a post in the centre of a circular grassed area that has a radius of 6.2 metre. What
area of grass is the goat unable to reach if it is tethered by a rope 5.6 m long?
3.14 x 6.2squared
3.14 x 5.6squared
= 3.77m squared
Why does the question change the radius
,w pi*(6.2^2-5.6^2)
It first said it was 6.2 and then 5.4
Im going to guess you just messed up punching it in @alpine sable
tytyty 😄
because your working is correct, just not the final answer
well... that's what was said
I mean regardless, if you write $\pi\cdot 6.2^2-\pi\cdot 5.6^2$ on your working you should get majority of the marks anyways, as you nailed the concept perfectly
Mosh
now use the fact that it is a difference of squares
quick question
can this symbol: *
be used as a multiplication sign
like instead of brackets or x, you could use *
yes
it's how multiplication is written in text / code, also mimics the $\cdot$
Mosh
okie tysm
depends though, it's used for convolution
:0
depends on what you're doing and your level
how to solve this -6x = 48 ????
I need to know how to do that not the answer (homework)
is 2 times 3 the same as 3 times 2? @alpine sable
need i do 48:(-6)??
u need the answer???
@spark zenith yes
Oh ok i have another q but i need to find it
sure
@alpine sable 8ab is the same as 8ba is the same as ab8
a8b, ba8, b8a etc
but usually the variables are written alphabetically right?
3 x=1 ???
_
2
Em
YES THAT

