Okay
#help-26
noble laurel
It says that this is obvious because e^1 is 2.71β¦ so if |x|<1 e^x-1 will be at most 1.71.. and related by what |x| actually is, of course as x-> itβd approach 0 which is exactly whatβ you hope for here
Iβd like to explain but I have to go and this is probably better anyways
Skip to about 5 minutes if you wish
hasty bane
Iβd like to explain but I have to go and this is probably better anyways
yea, the guy explained it very nicely
thank you soo much 
.close
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hoary wraith
Good Evening!
Can someone explain to me why we dont need to divide the 2 by k aswell?
pastel salmon
Good Evening!
Can someone explain to me why we dont need to divide the 2 by k a...
there is a product, so we divide only one of the factors by k to the third power
pastel salmon
Good Evening!
Can someone explain to me why we dont need to divide the 2 by k a...
if there was a sum or difference then two would also be divided
hoary wraith
there is a product, so we divide only one of the factors by k to the third power
But we only didivde by k no?
And in the denumerator we also divide all products?
pastel salmon
But we only didivde by k no?
in yoru case, division is by third power of k, right ? so since denomiantor is consisted of 3 factors, then every of them is divided by l
hoary wraith
But I think I see it
Was just wondering
because you can also multiply by 2 first
and receive 2k + 2 and then divide that by k
pastel salmon
because you can also multiply by 2 first
yes but better to keep 2 out of them
2 is safe alone
hoary wraith
Bit late here, thanks!
pastel salmon
yw)
hoary wraith
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placid temple
hello
placid temple
Hello in statistics, I do not understand the difference between discrete random variable and absolutely continuous random variable.
Is it in the 1st case something that can be counted and in the 2nd case something that cannot be counted?
topaz sinewBOT
Hello in statistics, I do not understand the difference between discrete random ...
pastel salmon
Hello in statistics, I do not understand the difference between discrete random ...
informally: a discrete random variable takes values from a finite or countable set, and a continuous random variable takes any value from the interval or the entire real line
placid temple
informally: a discrete random variable takes values from a finite or countable s...
Do you have real life examples that help differentiate the two? please
pastel salmon
Do you have real life examples that help differentiate the two? please
Let's assume that an insurance company deals with the distribution of reported losses, then they are in a certain finite set, or even countable one
like
0, 1, 2, 3, 4, 100000000
etc
countable set is the set you can assign to natural numbers
and
the exampoel fo continuous is:
Let's assume that you are interested in the height of students in your country, but there are too many universities to measure them all, then you set the distribution based on an n-element random sample, and the index can take any value from the range, e.g. [140, 210] - their height
certaibly the precision of tools also is imporant but we extrapolte our measure into ideal world continous one
these above are the typical ones
placid temple
Ok so in the case of discrete it is something that we know precisely and in the case of continuous it is something that we estimate but do not know precisely ?
pastel salmon
Ok so in the case of discrete it is something that we know precisely and in the ...
yes but better use term: countability
ok ?
0, 1, 2, 3, - dioscrete
and if numbers you get, with any precision from interval
- continuous
pastel salmon
yw
sick oasis
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sick oasis
what does z bar mean in this context? (linear algebra problem)
acoustic pecan
it would mean complex conjugate here
sick oasis
so like z = a + bi so zbar = a - bi?
acoustic pecan
exactly so
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late quiver
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placid temple
Statistic
topaz sinewBOT
__Statistic__
placid temple
Convergence in law
The sequence (Xn) converges to continue bounded we have :
Example 1 : . Let X_n βΌ B(p+ (1βp)/n) with p β (0, 1), then (X_n) converges to a random variable
Example 2 : Let X_n βΌ E(Ξ»_n) and Ξ»_n -> +β when n -> + β then we can see that (X_n) converges in law towards the null variable
I don't understand the example 2
topaz sinewBOT
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sweet shard
Example 2 : Let X_n βΌ E(Ξ»_n) and Ξ»_n -> +β when n -> + β then we can see that ...
What even is lambda
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twin heath
why are you allowed to substitute (A-B/2) and (A+B)/2) into part of the product to sum rule to get the sum to product rule? every video I've seen just takes it as granted that you plug those in as a and b, but I don't see why I couldn't just plug anything in at that point
topaz sinewBOT
why are you allowed to substitute (A-B/2) and (A+B)/2) into part of the product ...
twin heath
I don't really get how the sum to product rule is derived
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twin heath
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balmy bolt
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balmy bolt
what is an
noble laurel
the sequence that you are summing
topaz sinewBOT
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balmy bolt
is that not right
rigid ivy
is that not right
No
balmy bolt
can u tell me and explain it to me LOL
rigid ivy
You neglected the sign
clear knot
COVID-19 is present in 10% of the population. There's also a test that correctly tests positive with 95% accuracy, and incorrectly tests positive with 10% chance.
topaz sinewBOT
COVID-19 is present in 10% of the population. There's also a test that correctly...
clear knot
If a random person tests positive for COVID, what's the chance they actually have COVID?
sweet shard
Use bayes theorem
clear knot
Use bayes theorem
Omg
sweet shard
Oh I approve
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clear knot
Oh I approve
A random person is given 2 covid tests, both come back positive. These tests are independent what's the chance the person actually has covid?
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steel lodge
Hello I am trying to solve this question, it is a grade 10 highscool trignometry question, i am not sure how to solve a) and b) please help
topaz sinewBOT
Hello I am trying to solve this question, it is a grade 10 highscool trignometry...
steel lodge
@knotty finch could someone help?
gray ridge
Hello I am trying to solve this question, it is a grade 10 highscool trignometry...
oh sure, i was using my computer when i saw your question, dunno if i can help much
steel lodge
oh okay
so what i dont get is if its labelled point a -b is 15cm wouldbt b - a be the same?
but when i checked the answers its showing 14.77
gray ridge
to tackle this question, let's name something first
for (a) it says to find "how far east"
that is actually to find AX
steel lodge
ohh okay so it would we use sin 0?
like using 0 as theta
theta is 10 so
sin(10) x/15 ?
gray ridge
gray ridge
ohh okay so it would we use sin 0?
for AX we actually need to use cosine theta
gray ridge
so cos(10deg) = AX/15
gray ridge
but when i checked the answers its showing 14.77
go it now?
steel lodge
Yes thanks you
steel lodge
yeah thanks a lot
gray ridge
but just be careful it's in millimetre
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sharp dew
how do I distinguish between a rational number and a irrational?
sharp dew
let's discuss
1.every number (except perfect square) inside a square root results in a irrational number.
2.A lots of well-known yet frequently used constant like pi, euler, light speed, etc. are also irrational too.
does anyone want to add something in the discussion.
this is a discussion for irrational number identification.
abstract wadi
- Irrational has nothing to do with non perfect squares and famous constants.
sharp dew
3. Irrational has nothing to do with non perfect squares and famous constants.
But 1,2 are facts, do not you agree
abstract wadi
I do not.
sharp dew
a counter example, please?
abstract wadi
Check my pfp.
abstract wadi
You said "every number"
odd pagoda
the most famous constants like 0,1,2 etc are all rational
sharp dew
okay, alright. I will fix the statement
abstract wadi
the most famous constants like 0,1,2 etc are all rational
Precisely.
sharp dew
1.every number (except perfect square) inside a square root results in a irratio...
(revised)1. every positive number (except perfect square) inside a square root results in a irrational number.
odd pagoda
that wouldnt usually be called a perfect square
perfect square usually also means integer
sharp dew
perfect square usually also means integer
I didn't know that
sharp dew
i'm perplexed
there's a lot of flaws on my statement
i will take a 5 mins break, then we will continue the discussion.
hardy prism
Ok
topaz sinewBOT
sharp dew
The discussion is being canceled by Mickey Mouse.
As he realized that it has little intrinsic value.
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sharp dew
sharp dew
SHUT UP ROBOT!
considered triangle ABC, sinA:sinB:sinC=2:3:4, then cosA / cosB = ?
above is the question after being translated into English.
I had stuck on this one
topaz sinewBOT
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@sharp dew Has your question been resolved?
sharp dew
sin law, and then cosine law
Be specific
thorny flameBOT
γ«γγ΄
pulsar sun
by sine law
By sine law, \
$\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}$\
$\Rightarrow \frac{2x}{a} = \frac{3x}{b} = \frac{4x}{c}$\ \
Let the above equation be eqn. 1
By cosine law, \
$\cos A = \frac{a^2 + b^2 - c^2}{2ab}$\
$\cos B = \frac{b^2 + c^2 - a^2}{2bc}$
thorny flameBOT
γ«γγ΄
pulsar sun
Then from equation 1 we can isolate a and b in terms of c
substitute in cos A and cos B formulae and then find the ratio
@sharp dew do u now understand
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robust jasper
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robust jasper
Arthumetric sequences
Yes
a is the first n=1 term
b is the (common difference)
n is just yk n=1 n = 2 n = 3, the terms
pulsar sun
not really an AP with the ln
robust jasper
AP?
pulsar sun
well u messed up in ur working
robust jasper
well u messed up in ur working
why whats wrong
pulsar sun
$\ln 16 = \ln a + 2\ln b$ \ \
$\Rightarrow e^{\ln 16} = e^{\ln a + 2\ln b}$ \ \
$\Rightarrow 16 = e^{\ln a} \cdot e^{2\ln b}$ \ \
thorny flameBOT
γ«γγ΄
pulsar sun
meaning 2ab is 16
pulsar sun
**γ«γγ΄**
in ur last step u changed the dot (product) into plus (addition)
robust jasper
oh
robust jasper
**γ«γγ΄**
im confused shouldnt it be a + 2b
pulsar sun
that allows u to get $\ln 16 = 4\ln b$
thorny flameBOT
γ«γγ΄
pulsar sun
im confused shouldnt it be a + 2b
2nd step?
pulsar sun
kk
robust jasper
treat it as a system of equations
ok
robust jasper
**γ«γγ΄**
Okie
pulsar sun
**γ«γγ΄**
from here $b^4 = 16$ meaning b is 2,-2,2i, or -2i
thorny flameBOT
γ«γγ΄
pulsar sun
i is imaginary unit btw
lofty salmon
thats how logarithmic form works
robust jasper
I would understand if we got
16 = 4-1(2lnb)
6 ln b
Ok ill have to check out logs a bit more
tbh
I never understoof that stuff
thank you
Ill have a check after this chapter again
: 3
pulsar sun
np
topaz sinewBOT
robust jasper
.reopen
topaz sinewBOT
β
robust jasper
Nvm
pulsar sun
?
robust jasper
**γ«γγ΄**
I got
16=2ab
256= 6ab
But that wouldnt give me the answer
of a and b
robust jasper
yessir
pulsar sun
subtract $\ln 16 = \ln a + 2\ln b$ from $\ln 256 = \ln a + 6\ln b$
thorny flameBOT
γ«γγ΄
lofty salmon
do you know why
robust jasper
I just canceled out the ln
lofty salmon
good
robust jasper
Ig its bc i canceled out the ln
pulsar sun
but isnt that what I did
no..?
pulsar sun
hmm i must've misinterpreted then
robust jasper
markscheme just says find d value
and go from there
un = ln a + (n β 1)ln b
u3 = ln 16 and u7 = ln 256
So uh
ln b = d
un = a + (n β 1) d
is the usual formula
.
How do I find what d is
my brain
@pulsar sun 
Can u explain me how they got d
tehe
or anyone
pulsar sun
they did what i did π
robust jasper
I dont know what you did
robust jasper
yes
pulsar sun
$u_3 = \ln 16 = \ln a + 2\ln b$
thorny flameBOT
γ«γγ΄
pulsar sun
and $u_7 = \ln 256 = \ln a + 6\ln b$
thorny flameBOT
γ«γγ΄
pulsar sun
is that correct?
robust jasper
yes
pulsar sun
nice
now
if u subtract u_3 from u_7
u will get
$\ln 256 - \ln 16 = 6\ln b - 2\ln b$
thorny flameBOT
γ«γγ΄
pulsar sun
correct?
robust jasper
yes
pulsar sun
now we use log rules
log a - log b = log(a/b)
and also taking \ln b common
giving us
$\ln \frac{256}{16} = (6-2)\ln b$
thorny flameBOT
γ«γγ΄
pulsar sun
which gives $\ln 16 = 4 \ln b$
thorny flameBOT
γ«γγ΄
thorny flameBOT
γ«γγ΄
thorny flameBOT
γ«γγ΄
pulsar sun
giving us b=2
robust jasper
pulsar sun
(as b is real)
sorrie for the waste of time lol
pulsar sun
giving us b=2
from here, we know in an AP, nth term = first term + (n-1)*d
which is ln b in our case
pulsar sun
<:slightlyembarrassed:834483370117300336> sorrie for the waste of time lol
i was wrong btw, this indeed is an AP
I orignially thought a and b were functions of n π + ln threw me off
pulsar sun
np
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fallen plume
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fallen plume
where the domain is 0 < x <=360
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pulsar hedge
fallen plume
@pulsar hedge yes, one o the answers is 16.86 so ur correct
but there are two answers for the range
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neon iron
Is there something wrong in what i did
topaz sinewBOT
Is there something wrong in what i did
neon iron
The question is integral 1/(sin^2xcos^2x)
i divided the sin^2x in the denominator with cos^2x/cos^2x
ivory sorrel
,rotate
thorny flameBOT
topaz sinewBOT
whole geode
1/tan^2x = sec^2x
1/tan^2 x = cot^2 x
neon iron
1/tan^2 x = cot^2 x
yep got it ty
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quaint tulip
help
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fair dagger
How to prove that AEC and ABC are similar triagnles? Except for that 80 angle I have no idea what to do
topaz sinewBOT
How to prove that AEC and ABC are similar triagnles? Except for that 80 angle I ...
boreal mulch
How to prove that AEC and ABC are similar triagnles? Except for that 80 angle I ...
is ae tangent to circle
fair dagger
yes
cursive patrol
How to prove that AEC and ABC are similar triagnles? Except for that 80 angle I ...
is one way you can do this without much strain
fair dagger
I swear I have never seen this theorem in my life
Useful to remember
Just need to find if I can use it in the exam without proof
cursive patrol
itβs usually considered a staple theorem in geometry but fair
cursive patrol
you use central angle - inscribed angle relationship
cursive patrol
Wait but how does it help me
if you find angle CEA your proof is complete by AAA similarity
cursive patrol
as extra note.
this theorem also works with two secantsβ¦ or two tangentsβ¦ doesnβt have to be a secant and a tangent
fair dagger
as extra note.
this theorem also works with two secantsβ¦ or two tangentsβ¦ doesnβ...
Wait does a line that intersects a circle twice called a secant?
cursive patrol
yes
fair dagger
Good to know
cursive patrol
and, if the βlineβ is not a line but a line segment that is contained completely within the circle, then it is called a chord
fair dagger
you use central angle - inscribed angle relationship
I am not sure how does it help me
cursive patrol
So In my case it will be like that
this statement is correct
cursive patrol
I am not sure how does it help me
do you know what this relationship is?
fair dagger
Oh wait maybe I do
fair dagger
do you know what this relationship is?
I do know just couldn't figure out how does it help me
Wait just a sec
I mean I know how to get the number 40 but the steps feel weird
Because I am supposed to substitute arc lengths not the angles
fair dagger
itβs usually considered a staple theorem in geometry but fair
Yea I found the theorem, I don't need to prove it
fair dagger
Because I am supposed to substitute arc lengths not the angles
@cursive patrol pls help
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shrewd horizon
well the obvious idea would be to try induction
7 * 4^0 - 2^0 is 6, so it works for n = 0
so then if you take 4 * (7 * 4^(n-1) - 2^(n-1)) + 2^n
you get 7 * 4^n - 2^(n+1) + 2^n = 7 * 4^n - 2^n
...ok so yeah it's just induction
@lucid tiger
lucid tiger
so then if you take 4 * (7 * 4^(n-1) - 2^(n-1)) + 2^n
could you explain this step i dont quite understand it
shrewd horizon
well f(n) = 4*f(n-1) + 2^n
and the inductive hypothesis is that f(n-1) is 7*4^(n-1) - 2^(n-1), just putting n-1 into the expression 7*4^n-2^n
since the idea is that we're proving "f(n) = 7*4^n - 2^n" by induction
lucid tiger
since the idea is that we're proving "f(n) = 7*4^n - 2^n" by induction
ahh that makes sense now
this one is d) how?
@shrewd horizon ?
lucid tiger
you get 7 * 4^n - 2^(n+1) + 2^n = 7 * 4^n - 2^n
also i kinda dont get how you did the algebra here
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unkempt nova
I think I need to calculate the partial derivative of x and y
but
given the two points
I don't know if it's possible
topaz sinewBOT
I think I need to calculate the partial derivative of x and y
but
given the two ...
unkempt nova
<@&286206848099549185>
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calm pollen
Hey I don't think this is an actual math question but I was curious if anyone knew programs for the ti84 that graphs vector fields given in the form F(x,y) = something i + something j ?
topaz sinewBOT
Hey I don't think this is an actual math question but I was curious if anyone kn...
calm pollen
i know it's possible for the cas but it's banned unfortunatley /
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burnt pumice
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burnt pumice
Hi, I am trying to find arc length and Iβm getting stuck at integrating.. am I making the correct choice by splitting the square roots then trying to integrate them?
pastel salmon
Hi, I am trying to find arc length and Iβm getting stuck at integrating.. am I m...
the last two integrals are absolutely incorrect
glacial adder
$\sqrt{1+\frac{9x}{4}}$ does not equal $\sqrt{1} + \sqrt{\frac{9x}{4}}$
thorny flameBOT
y0shi
burnt pumice
Okay I figured something was wrong.. so I am leaving it at sqrt 1+9x/4 and integrating that as a whole?
glacial adder
yep
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neon iron
hi
hi lex
do u know what lim is
in calculus
how did u open help
i want to get help and i dont see help channel
restive inlet
supposedly this is about geometric sequences
if so this is just the property of the common ratio
do you know properties of geometric sequences?
yeh
so if you divide a term by the term before it, you'll get r
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fathom crypt
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fathom crypt
not particularly sure where to even start
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fathom crypt
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woven quartz
By Wilson's Theorem, we know that $(p-1)! \equiv -1 \pmod{p}$.
So, $x = \frac{p-1}{2}! = \frac{(p-1)!}{(p-1)/2} \equiv \frac{-1}{(p-1)/2} \pmod{p}$.
thorny flameBOT
Flamey
woven quartz
@fathom crypt
woven quartz
Since $p \equiv 3 \pmod{4}$, we have $(p-1)/2$ is an integer and $(p-1)/2$ is not divisible by $p$.
Therefore, we can cancel out $(p-1)/2$ from the numerator and denominator, and we get $x \equiv -2 \pmod{p}$.
thorny flameBOT
Flamey
woven quartz
Now, we want to find $x^2 \pmod{p}$. We have $x^2 \equiv (-2)^2 \equiv 4 \equiv 4 \pmod{p}$.
So, the value of $x^2 \pmod{p}$ is 4
thorny flameBOT
Flamey
woven quartz
@fathom crypt
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neat wing
im confused what this question wants me to answer
topaz sinewBOT
im confused what this question wants me to answer
neat wing
just the answer as 0?
barren oak
x value
barren oak
4?
barren oak
alr
neat wing
The set of the other solutions is
i guess it needs the other 2?
nvm got it!
this is similar i guess
barren oak
yeah
neat wing
thanks so much i was so confused lol
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peak yarrow
Hello!
peak yarrow
I was wondering how I could solve these problems
the first two in this are from the same problems and the bottom two are not.
urban bone
The domain is how far the line goes across the x-axis. The range is the same but with the y-axis.
If the highest point was at 3 and the lowest was -5 on the y axis, it would be written as -5<y<3 (assuming that the points are not filled in)
If it keeps going infinitely, it would be all real numbers
The intervals that are positive are the parts of the line that are above the x-axis line, while the negative intervals are below it
Where the graph is increasing on the intervals is where the line goes up, whilest where it is decreasing is where the line goes down.
Iβm sorry for the poor explanation, but I could try to explain it better if needed ^^ (im not great with the actual terminology, just explaining)
peak yarrow
So you would just write the increasing on the intervals for the line that goes diagnol?
urban bone
Depending on whether it is positive or negative, yes.
If the diagonals slope is positive, its increasing
If itβs negative, itβs decreasing
peak yarrow
Alright thank u so much <33
urban bone
Mhm!
urban bone
Alright lol
peak yarrow
My professor didn't post a Lecture for Lesson 7 so i was just.. struggling half the time
urban bone
Oof
peak yarrow
wait hold on-
which one would u do for the decreasing
the one on the left or the right
or both
urban bone
Both, there can be more than one spot where a graph is increasing or decreasing
topaz sinewBOT
peak yarrow
.reopen
topaz sinewBOT
β
peak yarrow
thanks
peak yarrow
hello help
go to one of the free help channels and say hi or hello to claim it
like #help-20
urban bone
Oh wait
peak yarrow
and i tried the previous question before this (it was diff points) and it was wrong as well
north panther
decreasing means when the derivative or the slope is negative
peak yarrow
decreasing means when the derivative or the slope is negative
i know i just dont know how to write it in interval notation
north panther
are you sure bc on -1 to infinity the slope is not negative
peak yarrow
like i know the rules and stuff it just doesnt click to me what numbers i am meant to write
north panther
so interval notation basically works like [x, x]
and thats inclusive of the beginning x and ending x
(x, x) is not inclusive
so what x to what x does that graph have a negative slope?
north panther
ur good
peak yarrow
i was losing it for a hot second
north panther
happens
north panther
uhh
north panther
well i don't think that's the whole problem with the answer
I think the increasing interval would be (-infinity, -2.5) U (1, infinity)
and the decreasing would be
(-2.5, 1)
you understand why?
peak yarrow
yes i do
wait
so it increases from x=1 to infinity
thats why its
(1, infinity)
?
north panther
yes
i'm pretty sure its wrong because of [] vs ()
but I don't really remember the rules for what's what
i would try to make them all ()
OHH
wait
i read the graph wrong π
its not -2.5
its -1.5
i forgot how graphs work mbb
urban bone
You guys answer these problems so differently from how my school does it aha (maybe its the grade difference too π)
north panther
wdym
urban bone
Thats probs why lol, the way weβd input it for decreasing is -1.5<x<1
north panther
light work
north panther
it only gets worse
keen lance
Hi would anyone be willing to check over 4 calc questions?
keen lance
Oh sorry I didn't realize I had more than one opened. I didn't see my other one in the side bar. Thought it had closed. I still don't seem to see it
neon iron
No problem! Just run a .close
keen lance
No problem! Just run a .close
On which channel? I am unable to see myy other one : (
neon iron
you can't see 908078029778083872?
verbal crater
neon iron
yeah there you go
keen lance
okay thank you!
neon iron
but close this one, as the other has content
topaz sinewBOT
topaz sinewBOT
Available help channel!
digital raft
If f(x) = 2x+6 and g(x) = 3x
What is the simplified expression for f^(-1)(g^(-1)(x))
gray trail
do you know how to find the inverse of a function?
digital raft
Yeah, we'll get:
f(x) = x-6/2
g(x) = x/3
gray trail
okay so what is g^(-1)(x) using what you just said
gray trail
so lets break it down
f^(-1)(g^(-1)(x))
the thing in bold is what we just found
that is equal to x/3
so now all we have left to find is f^(-1)(x/3)
does that make sense?
digital raft
Yes, my bad
digital raft
Yeah but that is what I am confused about
gray trail
oh
ok lets ignore the denominator of that thing so we are left with (x/3)-6
how do we get that into one fraction
digital raft
(x/3)-(18/3)
gray trail
yes or in other words (x-18)/3
digital raft
yeah
digital raft
yep
gray trail
so we can write it as (x-18)/3 * 1/2?
digital raft
.close
clear vessel
How do I start answering this? 0.7854d^(2)=pi r^(2)
topaz sinewBOT
How do I start answering this? 0.7854d^(2)=pi r^(2)
neon iron
Do you know d or r?
neon iron
!xy
topaz sinewBOT
Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.
neon iron
Please show the original problem, **exactly as it was stated to you**, with the ...
it's a command to show this ^
neon iron
Do you have the whole problem? I don't believe it possible if you don't know d or r
You need to provide the context to this. Your question is weirdly engimatic and incomplete.
clear vessel
neon iron
No, is there anything else you can show?
clear vessel
here
neon iron
alright amazing
clear vessel
sorry for not submitting that sooner.
neon iron
alright great, so do you know the radius or diameter of the problem you are looking to solve?
neon iron
,, r = \4d2
thorny flameBOT
neon iron
That still isn't solvable! do you have the diameter?
it is solveable
yeah i'm dead wrong right there whoops
clear vessel
the answer is (1/2)d but I want to know the step by step to it if any of you know.
r=(1/2)d
neon iron
r=(1/2)d
i mean yes that's just a simple fact of geometry
the radius is one half that of the diameter
neon iron
,, r = \4d2
side note is there a resource to learn how to do this
the diameter is two times that of the radius
neon iron
replace r on the right with d/2
yeah thata correct
but yes replace the r with d/2
and now you have the one unit you need to work with to get the answer
neon iron
side note is there a resource to learn how to do this
Check #latex-help 's pins
thanks
clear vessel
ok so it be 0.7854d^(2)=pi (d/2)^(2)
neon iron
yeah
neon iron
distribute in the exponent in $\ds\p{\4d2}^2$
thorny flameBOT
clear vessel
distribute in the exponent in $\ds\p{\4d2}^2$
how do I do that?
neon iron
,,\p{\4ab}^n=\4{a^n}{b^n}
thorny flameBOT
clear vessel
ah~
neon iron
so what do you get doing that
clear vessel
I got d^2/4. is that right?
clear vessel
yes
neon iron
Right, 2 definitions for Area
clear vessel
ok
neon iron
whoops lol, gave you that one
clear vessel
huh?
neon iron
d = 0 is the only solution so something is pretty weird with this question
Thats what I have been thinking
Is this an actual problem?
Or just a textbook definition
clear vessel
the answer is r=(1/2)d btw
clear vessel
how does one get there is my problem.
neon iron
because radius is halfway through a circle
diamater is all the way across, so 2r = d
therefore r = 1/2d
this is so dumb why did they approximate [
\4\pi4 \approx 0.7854
]
thorny flameBOT
clear vessel
my mind hurts~
neon iron
Do you understand how r = 1/2d?
clear vessel
Do you understand how r = 1/2d?
It was just given to me.
neon iron
0.7854d^(2)=pi (d^2/4)
from here [
\4\pi4 d^2 = \4\pi4d^2
]
after fixing the weird approximating they made
thorny flameBOT
clear vessel
neon iron
But do you understand this?
clear vessel
what does it mean by "the answer must match a sepecified pattern"?
clear vessel
But do you understand this?
kinda
neon iron
But do you understand this?
whoops not that, just the 2r=d && 1/2d=r
I would just take the "Note:" into account
Your teacher will manually grade that, and what you have is correct
clear vessel
Your teacher will manually grade that, and what you have is correct
bro...AHHHHHHHHHHH!
neon iron
Haha, do you still need clarification on it though?
clear vessel
I hate math!!!! And math hates me!!!!!!!!
neon iron
I'd say that program hates you, we got you all confused for a weird problem
Of course, ask away, remember .close
clear vessel
.close
topaz sinewBOT
topaz sinewBOT
Available help channel!
cosmic widget
i am attempting to study for my GED and i simply cannot comprehend how to go about solving this problem, can someone please walk me through this
topaz sinewBOT
i am attempting to study for my GED and i simply cannot comprehend how to go abo...
neon iron
i am attempting to study for my GED and i simply cannot comprehend how to go abo...
its a good idea to start off by listing off what you have and what you are trying to get
the height is 45 inches
what is the diameter in year 13?
cosmic widget
i have the diameter which is 22.2 and the height 45 inches
neon iron
im not sure what i would do to go about finding that out
well it's pretty much approximated to be a cylinder without its bases
you are trying to find the lateral surface area of thr cylinder
,, LSA = d\pi h
thorny flameBOT
neon iron
so plug it in in the above
cosmic widget
im very confused here as this is something ive never seen before
neon iron
you never studied the lateral surface area of a cylinder?
cosmic widget
the question i had sent was an image of the GED practice test, or high school equivalent test, so no
neon iron
ok so what's the circumference of a circle
cosmic widget
Can you detail it out for me specifically?
neon iron
Can you detail it out for me specifically?
wdym
cosmic widget
iβm sorry, i watched a youtube video showing me how to find the lateral surface area and my answer was 445.8, iβm not sure if thatβs right or wrong
smoky sparrow
iβm sorry, i watched a youtube video showing me how to find the lateral surface ...
Wrong
22.2 Γ 45 Γ pi is not that
The circumference is pi Γ diameter
That's the width of your rectangle
And the height is just 22.2
Imagine cutting the curved surface area and unrolling it
topaz sinewBOT
@cosmic widget Has your question been resolved?
smoky sparrow
I'm gonna go on a bit of a rant here
Imagine someone like Elon Musk comes up to you and says: "Hey, why are you reading books like To Kill A Mockingbird or Moby Dick when you could just read a 100 word summary of the book?"
You'd feel very weird right
Cause the point of reading isn't just to absorb factual information, but to enjoy what happens and what it makes you feel, the characters, the events, the highs and lows
Maths is just the same
The purpose of maths is not to get the answer: we have calculators for that
It's about training your thinking skills and creativity so that you can apply your knowledge to questions you might never have seen before
Cause there's value in thinking creatively, but also systematically and communicating that thinking clearly
It's a shame that maths in a lot of grade school has been reduced to memorising formulas, memorising things without really understanding why
It's super sad cause a lot of geometry and trig, heck even calculus can be discovered with visual intuition
So the next time you're thinking about maths
Don't just ask if your answer is right or wrong
If you don't understand why somrthing is true, just ask why!
You'll hopefully start to realise there's value in being educated and thinking for yourself rather than memorising without knowing why
sour egret
Hello,
We did this one chapter ago and I forgot.. can someone help me with the steps towards dividing this?
sour egret
I looked at my old notes and I see that I have to start at the second term so everything is lined up and then I have to see what I can add to the x to make it 6x^2?
Not sure if thatβs right
rustic finch
βadd to the xβ sounds weird
sour egret
Multiply ?
rustic finch
multiply with x+1 sure
sour egret
Idk what to do
rustic finch
maybe watch a video, polynomial division is just a procedure to follow
you want to multiply x+1 by something and have a 6x^2 show up
6x should sound good
topaz sinewBOT
@sour egret Has your question been resolved?
indigo estuary
topaz sinewBOT
indigo estuary
how do i do i)
topaz sinewBOT
how do i do i)
indigo estuary
.close
topaz sinewBOT
topaz sinewBOT
Available help channel!
tough beacon
could someone please explain how to do this? ive been stuck on it for like 15 minutes π
topaz sinewBOT
could someone please explain how to do this? ive been stuck on it for like 15 mi...
restive inlet
show what you've been doing in that 15 minutes
serene wyvern
show what you've been doing in that 15 minutes
HELP ME
tough beacon
i tried making the top one into slope-interept form cause idk what else to do, and when i tried to do it normally it js looked wrong
boreal mulch
i tried making the top one into slope-interept form cause idk what else to do, a...
its given -6y=x
substitute that into (1)
tranquil grail
tough beacon
mk thx
topaz sinewBOT
@tough beacon Has your question been resolved?
topaz sinewBOT
topaz sinewBOT
Available help channel!
jaunty phoenix
topaz sinewBOT
jaunty phoenix
hello can i get some hints on how to answer this question pls
i converted them into logs but not sure where to go from there
ivory sorrel
let $5^x =y$
thorny flameBOT
Why am. I here
outer carbon
jaunty phoenix
Ah ok
Itβs just itβs from a logs worksheet
So I assumed I needed to use logs
Hidden quadratic I see ty
topaz sinewBOT
Available help channel!
vapid hemlock
topaz sinewBOT
vapid hemlock
I just need to know how to do these
My teacher just didnβt explain it right
Can somebody please give me a simple step by step on how
vapid hemlock
Got it
restive inlet
or alternatively
start with slope intercept form with the given slope,
then sub in the point to determine the y-intecept / (unkown constant)
vapid hemlock
So -5=-4(-1)+b
restive inlet
are you doing Q14?
vapid hemlock
Yeah sorry
Should have said that my bad
But say it was number 11, do I write -2=4(0)+b
vapid hemlock
Nope(;
topaz sinewBOT
Available help channel!
ivory island
does this mean that something here emplies g'(r) cannot equal 0 or are they just hoping it aint
topaz sinewBOT
does this mean that something here emplies g'(r) cannot equal 0 or are they just...
vivid ravine
The solution paper always skips past every step what happened between these two??
topaz sinewBOT
The solution paper always skips past every step what happened between these two?...
vivid ravine
so the one theta turned into a 1 but what about that theta in the bottom part of the fraction?
toxic grove
The solution paper always skips past every step what happened between these two?...
what's the full question
are they trying to find maxima/minima of l(theta) ?
cursive thorn
$a - b = 0 \iff a = b$, right?
thorny flameBOT
Jelle
cursive thorn
or am I missing something
vivid ravine
oh ok wait yeah i see that part now
and that last part? how is n/(\theta-1) extracted to only be theta
cursive thorn
They multiplied both sides by $\theta - 1$ and then divided both sides by the sum again
thorny flameBOT
Jelle
cursive thorn
after that it's rearranging again
topaz sinewBOT
cursive thorn
You should probably learn to ignore the giant symbols and sums, and look at it like they are high-school algebra questions
topaz sinewBOT
Available help channel!
modern drift
topaz sinewBOT
modern drift
we dont get the elapsed time at least i dont see it so Idk how I would answer this
I think the way you get the displacement is 50*25 and divide that by 2
half edge
elapsed time is what you're trying to calcualte
"how long" will it take for the puck to reach a distance 50 cm away from where to was released
modern drift
"how long" will it take for the puck to reach a distance 50 cm away from where t...
so then why is it in the equation
half edge
u can rearrange the terms of the equation lol
you have velocity and displacement, just rearrange for time
modern drift
how would I
modern drift
I get told to rearrange equations but i never understand how to, to get what I want
modern drift
c-b
modern drift
no clue lmao
half edge
ok thats a serious issue, lemme see if i can find a vid for u
havent watched the whole thing but maybe this will help
algebra is very important, even in physics
make sure you know concepts like these before attempting problems that require these types of concepts
modern drift
I need the answer or at least how to solve that equation rn
I have a mountain of assignments and thats the last question to the lab
modern drift
t=d/v?
topaz sinewBOT
@modern drift Has your question been resolved?
topaz sinewBOT
@modern drift Has your question been resolved?
modern drift
.close
gleaming cape
Idk how to do 6B
topaz sinewBOT
Idk how to do 6B
gleaming cape
I cant even use -b/2a
crystal goblet
Idk how to do 6B
Are you aware of the fact that b= -(sum of x intercepts)
And c is the product of the x intercepts