#help-23
tight meteor
safe schooner
@placid kraken
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storm maple
Let ({b, i, a}) be a language where (b) is a constant symbol, (i) is a unary relation symbol, and (a) is a binary relation symbol. Interpreting (b) as "Beatrice," (i(x)) as "(x) studies computer science," and (a(x, y)) as "(x) is a friend of (y)," translate the sentence:
Beatrice's friends who do not study computer science are friends with someone who studies computer science.
safe radishBOT
Let \(\{b, i, a\}\) be a language where \(b\) is a constant symbol, \(i\) is a u...
flat frigateBOT
Tommy
storm maple
this is my professor's solution
i wrote an "and" instead of the implication symbol, why is it wrong ?
if x is not a friend of beatrice or x does not study computer science then it's not granted that there exists a y that studies computer science and is friends with x
and since the implication is true if the antecedent is false, i think there should be the and symbol instead
buoyant shadow
@storm maplebut if you kept the "all"
then it says all friends of beatrice don't study computer science
that's not what it meant
buoyant shadow
if x is not a friend of beatrice or x does not study computer science then it's ...
this is what it meant
"I can't always guarantee the consequent, but if x doesn't study cs and a friend of Beatrice, then i can"
storm maple
im kinda confused sorry
storm maple
it says "for all x", so pick an arbitrary x that is not a friend of beatrice, then how can we be sure that there exists a y that is friends with x?
maybe x doesnt have friends
or maybe x is not a friend of beatrice and also x doesnt study computer science
buoyant shadow
it's your goal to make a true statement
you;re saying it's bad thats the statement becomes true in some case
buoyant shadow
it's only good if it's always true
storm maple
the and symbol instead of the implication would be more appropriate in my opinion
buoyant shadow
that's basically a hard rule
yeah, so then it would be sometimes false
so you failed
storm maple
it's only good if it's always true
well, why does it always have to be true
?
it doesnt say so in the exercise
buoyant shadow
i mean ok, it's not like that, i didn't mean that
just if you use "and", it tells you that no firends of beatrice study computer science
and like, i can't prove the original statement doesn't, but it doesn't
in fact if you use and it says that nobody studies computer science
rewrite the solution using "or"
it will say that for any x, exactly one of 3 things is true
storm maple
just if you use "and", it tells you that no firends of beatrice study computer s...
if i use "and" im saying that all beatrice's friends satisfy these conditions:
they're friends with beatrice, they don't study computer science, they're friends with a y that studies computer science
buoyant shadow
first is false, and second false
or first is true and second true
or first is false and second true
buoyant shadow
if i use "and" im saying that all beatrice's friends satisfy these conditions:
then you mean you don;t just use and
but you rewrite it entirely
then yeah maybe it's also correct
quaint sequoia
Umm, guys what are you discussing about?
buoyant shadow
you can scroll up, this is not a voice call
quaint sequoia
you can scroll up, this is not a voice call
it’s fine
buoyant shadow
they're friends with beatrice, they don't study computer science, they're friend...
you can't claim that friends of beatrice don't study computer science
it's a misinterpretation of the word "who"
or something
storm maple
ooooh i think i get it
buoyant shadow
there are multiple firends, some could be i or not i
also "and" happens first, precedence wise
storm maple
yea i see now, what if we wanted to translate "ONLY Beatrice's friends who do not study computer science are friends with someone who studies computer science" so that we cannot have the implication being true with the antecedent being false?
buoyant shadow
it's implication but backwards
storm maple
I want to say that for all x (humans in the world), x can be friends with a y that studies computer science only if x is friends with beatrice and x doesnt study computer science
storm maple
it's implication but backwards
oh yea right
buoyant shadow
there's no short way to say that they are the same people, that implication holds both ways
without ↔
storm maple
this is my professor's solution
so if we have the and symbol instead of the implication x can be friends with beatrice only if x doesnt study computer science?
buoyant shadow
no, we say that everyone is firends with beatrice
and nobody studies computer science
buoyant shadow
so if we have the and symbol instead of the implication x can be friends with be...
which is kind of similar to this yes
storm maple
which is kind of similar to this yes
okay i think i get it now
thanks very much for the help 🙂
buoyant shadow
ur welcome
storm maple
.close
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kindred scroll
i used formula c2-c1/root (a^2+b^2) through which i get opt A but correct opt is B
final loom
Show soln.
knotty pier
i used formula c2-c1/root (a^2+b^2) through which i get opt A but correct opt i...
Ok what are the c values u got?
final loom
Assuming the parallel line is 4x - 3y + C = 0, gives |C| = 3 and option (1) demands 1 + C = 0...
knotty pier
Assuming the parallel line is 4x - 3y + C = 0, gives |C| = 3 and option (1) dema...
????
|c-2|=3
final loom
No
final loom
The distance given is between origin and said line.
knotty pier
Ohh yea nvm
kindred scroll
The distance given is between origin and said line.
distace from origin to another parallel line?
nocturne rapids
i used formula c2-c1/root (a^2+b^2) through which i get opt A but correct opt i...
that formula is for distance between 2 parallel lines
final loom
Assuming the parallel line is 4x - 3y + C = 0, gives |C| = 3 and option (1) dema...
Reread the question and my comment
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pine cape
Given two circles like this with varying radii (but we know both of their radii) and we also know their coordinates, what's the easiest way to check if they collide at all?
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Given two circles like this with varying radii (but we know both of their radii)...
cold ridge
tbh i think just the formula to check if they touch eachother
hardy monolith
take the distance between the centers, then check if it is smaller than the sum of the radii
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wild umbra
{N, 0} ∩ N. I wonder what is it equal to
safe radishBOT
{N, 0} ∩ N. I wonder what is it equal to
wild umbra
and I have 0 idea how to start
queen ingot
do you count 0 as an element of N?
versed wave
do you know what intersection means
fathom adder
What does {N,0} represent ?
wild umbra
What does {N,0} represent ?
Set that contains N - natural numbers, and 0
wild umbra
do you count 0 as an element of N?
No
wild umbra
do you know what intersection means
yeah
fathom adder
Set that contains N - natural numbers, and 0
Ok so if you intersect it with N natural numbers except 0 what happen ?
wild umbra
Ok so if you intersect it with N natural numbers except 0 what happen ?
I guess you have N left, but I'm not sure.
wild umbra
Like it seems so easy, but I just want to make sure.
queen ingot
but {N, 0} doesn't contain any natural numbers
it contains the set of natural numbers
wild umbra
oh yeah
queen ingot
unless you meant to say (N U {0}) ∩ N
fathom adder
Its how id write it
queen ingot
i think it's the empty set
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coral dagger
How did we get this result from that fraction?
safe radishBOT
How did we get this result from that fraction?
coral dagger
I got -2/2sqrt(3)
maiden mountain
its the same
usually they dont like square roots at the bottom so they multiply by square root 3 over square root 3
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loud cedar
help me in division of radical pls
safe radishBOT
help me in division of radical pls
safe radishBOT
help me in division of radical pls
No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/
loud cedar
explain to me the concepts of division of radicals
because... our teacher doesnt teach well
and expects us to alr know the topic so I need to advance study
loud cedar
how will I use those cases for that
delicate sphinx
explain to me the concepts of division of radicals
That looks like rationalizing
loud cedar
explain to me the concepts of division of radicals
even the basics
loud cedar
That looks like rationalizing
yea
it is
how will I use those cases and what does those cases means?
delicate sphinx
Do you understand the concept of rationalizing?
delicate sphinx
Perhaps start there, look at videos and resources
delicate sphinx
It's just rationalizing
You have three terms and you can move them around based on commutative and associative property
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red crow
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red crow
I need help for the last 2
vagrant ice
I need help for the last 2
sub in x = 0 and y = 0 into y = -bx + c
now can you set up an equation for area = 4?
the triangle AOB will always be right-angled
frail pumice
red crow
C=2*route 2b
vagrant ice
C=2*route 2b
yep, $c^2 = 8b \implies c = \pm 2 \sqrt{2} b$
flat frigateBOT
south
vagrant ice
c can be negative actually, just reflect the line across the x-axis
vagrant ice
great, now you need to find the midpoint of AB from this diagram
then use distance formula and set equal to 5
red crow
then use distance formula and set equal to 5
Thx for your help
I got it
As b increases c gets closer to 10
brittle otter
Can anyone help me solve (4/5) raised to the power 2
safe radishBOT
Can anyone help me solve (4/5) raised to the power 2
peak estuary
$\left(\frac 45\right)^2$ ?
flat frigateBOT
Denascite
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@brittle otter Has your question been resolved?
ashen drum
Well, squaring a number is the same as multiplying by itself, right? So what is $\frac{4}{5}\times\frac{4}{5}$?
flat frigateBOT
joel
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rich dune
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rich dune
can someone help me w the sketch
i got smth completely different idk why
this is the answer
ping me if you respond please
vagrant ice
i got smth completely different idk why
what did you get for the sketch?
vagrant ice
yeah hmmm
rich dune
a curve*
vagrant ice
as 1/(x^2 + 1) is a decreasing function (x^2 + 1 is an increasing function)
vagrant ice
then as you increase the angle theta, the curve should be getting closer to the origin
vagrant ice
yeah I don't know what you're doing wrong then
vagrant ice
okay one sec
rich dune
shouldnt i plot it like this?
vagrant ice
shouldnt i plot it like this?
no, you've completely messed up
you're trying to plot a polar graph, not a Cartesian graph
vagrant ice
you needd to calculate (r cos theta, r sin theta) for each of your r and theta values
then plot
vagrant ice
r
yeah!
you use the r twice
it's just a natural consequence of (x, y) = (r cos theta, r sin theta)
this converts from polar to Cartesian
vagrant ice
yes
rich dune
5 times again
vagrant ice
yeah to plot all 5 points
vagrant ice
cheers!
rich dune
wtf
thats a mad change
dang i also do both
maths and sociology
strange high school combo 😂
.close
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vagrant ice
some negative values asw
you should get negative values for x
but only positive values for y
vagrant ice
theres no ya xis
yeah they didn't draw the axes unfortunately
vagrant ice
https://www.desmos.com/calculator/komqlcmpks
this is more useful
Desmos drew the entire thing but from theta = 0 to theta = pi is just the part above the x-axis
rich dune
how is it all below 0 tho
vagrant ice
(cause y >= 0, y = sin(theta) or sin(theta) >= 0)
rich dune
but its under 0
rich dune
in the pic its below tho
vagrant ice
in the pic its below tho
on the graph on Desmos it's above
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serene tree
Hello 😺, I need your help. I’ve been stuck on this problem for hours.
rugged arch
Hello 😺, I need your help. I’ve been stuck on this problem for hours.
AB|| CD|| GF?
finite igloo
are the lines parralel?
serene tree
are the lines parralel?
I think so. The book doesn’t provide information about whether the lines are parallel or not; it just asks to find the values of x and y 😿
dry wadi
I think so. The book doesn’t provide information about whether the lines are par...
x is angle BED righg
serene tree
Yep
rugged arch
assume that AB//CD//GF
and?
dry wadi
as well as interior angle CD//GF
and angle CEF can be caulated by 180-70
and you could find y by using int angle
and by finding y you could find x using alt. angle
cold ridge
you made one mistake though
rugged arch
cold ridge
110° is the GEF and AEB angle.
rugged arch
Hello 😺, I need your help. I’ve been stuck on this problem for hours.
is BEF or DEF 70?
dry wadi
let me find a paper first
rugged arch
and angle CED is 180-(70-x)
what
dry wadi
and assume lines parallel
serene tree
And if we assume that <BEF = 70º and <BED = x°?
rugged arch
And if we assume that <BEF = 70º and <BED = x°?
still not enough information
serene tree
Ok, thank you 😸
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frank tartan
On planet Porto, a day does not last 24 hours like on planet Earth. On the face of a clock on this strange planet, all the hours of a day are arranged in a circle at equal intervals. The hour hand travels the same distance between 1 o'clock and 9 o'clock as it does between 10 o'clock and 2 o'clock.
How many hours are there in a day on planet Porto?
safe radishBOT
On planet Porto, a day does not last 24 hours like on planet Earth. On the face ...
atomic gale
16
safe radishBOT
16
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
atomic gale
See the time between 1 and 9 o'clock is 8 hours
So the time between 10 and 2 o'clock must also be 8 hours
Let the final hour be x then
10+8=x+2
18=x+2
x=16
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hardy monolith
<@&268886789983436800>
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stoic coral
If i increase price by 50% and decrease 25% do i do 1.5*0,75
safe radishBOT
If i increase price by 50% and decrease 25% do i do 1.5*0,75
stoic coral
Im not 100% sure
main mural
If i increase price by 50% and decrease 25% do i do 1.5*0,75
yes
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wooden umbra
This feels realy wrong
safe radishBOT
This feels realy wrong
wooden umbra
dusty raven
It looks right to me. You can double check it by simply plugging it back into the ODE
wooden umbra
True
shadow verge
dy/y = (x+1-1)/(x+1) dx
Or lny = x - ln(x+1) + c
shadow verge
So this is correct
hardy monolith
,w dy/dx=xy/(x+1)
flat frigateBOT
hardy monolith
yeah its right
hardy monolith
i dont recommend using wolframalpha for solving, but it can be useful for checking your answer
hardy monolith
Can I simplify it further?
get the e^1 term into the A
wooden umbra
i dont recommend using wolframalpha for solving, but it can be useful for checki...
I've been trying to use geogebra to check them
hardy monolith
I've been trying to use geogebra to check them
yeah that works aswell
i use WA because im lazy and its faster 🙂
wooden umbra
get the e^1 term into the A
Like
e^(c) e^(1) = A,
=> Ae^(x)?
hardy monolith
$Ae^{x+1}=A(e^xe^1)=Aee^x=Be^x$
flat frigateBOT
Bonk
wooden umbra
How do I do that in a way where my teacher won't get mad?
I'ma use λ
Is that a nice way of doing it?
wooden umbra
My teachers prefere A, B, ...
hardy monolith
that last one should be c_3, no?
hardy monolith
My teachers prefere A, B, ...
what about A_0, A_1, A_2, etc
wooden umbra
Maybe it's a british thing
hardy monolith
just have a big A at the front and put every constant in there
wooden umbra
That's what I did
north fulcrum
thats how we do it at the physics department
idk why my high school physics formula sheet shows permittivity rather than coulombs constant
no one knows what 1/4piepsilon means
wooden umbra
no one knows what 1/4piepsilon means
In what context?
north fulcrum
physics electromagnetism
wooden umbra
What is ε?
north fulcrum
permittivity of free space but its not useful in highschool other than using it to find k the coulomb constant
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@wooden umbra Has your question been resolved?
hardy monolith
$\varepsilon_0$ to be exact
flat frigateBOT
Bonk
jovial sun
how should I start this question?
safe radishBOT
how should I start this question?
plucky elk
Raise both sides to the sixth power
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spiral sleet
How do i rotate a quaternion down to a height yet relative to a positon at a distance from the quaternion origin
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How do i rotate a quaternion down to a height yet relative to a positon at a dis...
wooden umbra
permittivity of free space but its not useful in highschool other than using it ...
Oh neat
I'm in uni lol
wooden umbra
$\varepsilon_0$ to be exact
Ooh I see
Oh sorry I didn't see that this chat was being used
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@spiral sleet Has your question been resolved?
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@spiral sleet Has your question been resolved?
spiral sleet
How do i rotate a quaternion down to a height yet relative to a positon at a dis...
🙏
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@spiral sleet Has your question been resolved?
spiral sleet
???
azure delta
How do i rotate a quaternion down to a height yet relative to a positon at a dis...
This question doesn't really make sense. Can you give an example?
spiral sleet
Basically im at a distance from a point and i want to rotate a quaternion toward the point so im looking at said point
Like this
Would it be like distance x height + vector3 Y?
azure delta
I don't know what you mean by height. Rotations are multiplications, so if you are pointing in a certain direction and want to know how to point in a new given direction, you just need to solve a division equation, being careful about non commutativity.
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@spiral sleet Has your question been resolved?
spiral sleet
To be fair i need a better way for every axis..
spiral sleet
Im basically trying to make a quaternion look towards a position
mellow cypress
Im basically trying to make a quaternion look towards a position
I think you may be mistaking quaternions for something else
spiral sleet
What should i use then?
mellow cypress
Can you give some more context to your problem?
spiral sleet
Its kinda hard im trying to make code that makes a player forcibly face towards a point in the map
mellow cypress
And what are you using to describe the player facing something? Vector? Matrix? Quaternion?
spiral sleet
Vector i think?
My current version has the targets collision rotate to look at the player head then i inverted it and made the player camera move from its current rotation to the new rotation
Its very weird and can currently only get Y/W to work for left and right 💀
mellow cypress
You could use angle axis formula to create the quaternion needed for the rotation
mellow cypress
So you get the angle between the player’s forward direction and the axis you want to rotate about, which would just be the cross product of player forward and target direction. Plug those into the formula and you have the quat
spiral sleet
Idk the target direction tho as the direction is actually a position
All i have is a point and the camera the rotation needed is still unknown same as the angle
mellow cypress
You have target position and player position, you are definitely able to get the direction to target
spiral sleet
Whats the formula for that? Distance?
Sorry im really bad at maths 😅 ive never worked with quaternions before..
mellow cypress
Quaternions generally aren’t found until post grad education wise, so that’s not at all a surprise based on the 08 in your name
Clearly you are getting into game dev though, you definitely don’t need to understand them for now, just when and how to use them
But you should definitely start learning some vector and matrices stuff
Because you will definitely need that for game dev
e.g. target distance = target position - player position
Ideally you would be able to figure that out without help
As for the angle, you can just look up on google ‘how to get angle between two 3d vectors’ and a simple formula will appear
If you are using an engine then I suspect their api will have maths functions like angle axis for quaternions. Use that if you can find it in docs
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bronze ridge
is... the thickness of a cylinder just its circumference?
safe radishBOT
is... the thickness of a cylinder just its circumference?
vagrant ice
is... the thickness of a cylinder just its circumference?
the thickness of a cylinder is not well-defined
but yeah that's a reasonable interpretation when working with infinitesimals
versed wave
what they probably meant is the girth
vagrant ice
$dA = 2 \pi r \ dr$ if $A = \pi r^2$
flat frigateBOT
south
vagrant ice
the circumference then yeah
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full gust
how to solve?
safe radishBOT
how to solve?
vapid glen
,rccw
flat frigateBOT
versed wave
factor the numerator first. what do you get?
full gust
(√ 7m^2 - √ 11n^2)(√ 7m^2 + √ 11n^2) ig
shadow verge
(√ 7m^2 - √ 11n^2)(√ 7m^2 + √ 11n^2) ig
Further FACTORISE
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compact moss
the matrix
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@compact moss Has your question been resolved?
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@compact moss Has your question been resolved?
safe radishBOT
@compact moss Has your question been resolved?
safe radishBOT
@compact moss Has your question been resolved?
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@compact moss Has your question been resolved?
fallen sonnet
https://www.youtube.com/watch?v=Vtijyyo5fKI maybe watching this video help? (I got not much idea too)
compact moss
https://www.youtube.com/watch?v=Vtijyyo5fKI maybe watching this video help? (I g...
That might help
I'll watch
Thanks!
Should i just close this here to not occupy unnecessary space
safe radishBOT
@compact moss Has your question been resolved?
quick gulch
how to solve
blissful tapir
how to solve
find PSR first
To do that, notice that the sum of all angles is a quadrilateral is 360. You can solve for PSR using this fact. and then notice that RST is a straight line (180 degrees). when you add the angles PST and PSR, you get the line RST. So PST + PSR = 180
rotund robin
how to solve
First of all, roast the person who made this question. That RST is a straight follows from PQRS being a quadrilateral.
Secondly, the sum of all the angles in any quadrilateral of 'n' sides = pi(n-2)
This give you the sum of angle RSP, angle SPQ, angle PQR and angle QRS to be 2pi. This is concluded from the above formula with 'n' substituted and the result is therfore produced.
Now, find angle RSP using this fact. Use the linear pair axiom to subsequently find angle TSP, or written in another way, angle PST.
scarlet elbow
$x^3 +x^2 +x +1$
safe radishBOT
$x^3 +x^2 +x +1$
flat frigateBOT
Simon James B
flat frigateBOT
Simon James B
scarlet elbow
we need to group terms 2 by 2 so it helps us the best
i said that we can group the first 2 and the last 2
final loom
You factor (x + 1) not x
thin bridge
what common factors do you see between x^3 and x^2?
scarlet elbow
what common factors do you see between x^3 and x^2?
x^2(x+1)
OH
x^2(x+1)(x+1)
x^2(x+1)
no i still did something wrong
thin bridge
x^2(x+1)(x+1)
missing + sign after factoring out x^2 from the first two terms
you'll have
$$x^2(x+1) + (x+1)$$
flat frigateBOT
ℝαμOmeganato5
scarlet elbow
right and x+1 is a common factor
if we factor it
we are not left with just x^2 and with x^2 +1 because (x+1) = 1(x+1)
is this ok now
thin bridge
we are not left with just x^2 and with x^2 +1
that's unclear
scarlet elbow
i edited
thin bridge
still not clear,
can you write what you think the end result should be
scarlet elbow
$(x+1)(x^2+1)$
flat frigateBOT
Simon James B
thin bridge
yes
scarlet elbow
phew will i ever understand these 
marsh silo
phew will i ever understand these <:opencry:586078614865444865>
U just gotta be real clever
Also polynomials are difficult
Theres whole fields of math dedicated to studying how tricky they can be
safe radishBOT
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wild remnant
i need help
safe radishBOT
i need help
wild remnant
regarding matrix
if anyone can help me with detailed notes on matrix
i would be grateful
rich elm
this is extremely vague
anything more specific
and besides that i think textbooks would be better than notes
(if u are looking to study)
textbooks are literally just compiled notes + exercises
safe radishBOT
@wild remnant Has your question been resolved?
safe radishBOT
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thin eagle
hello
thin eagle
im serching for help with this|
41) Two seed drills are working in the farmer's fields. The first can sow the entire field in 60 hours, the second - in 75% of that time. After 20 hours of joint work, the first planter broke down, so the work had to be completed by the second one. How long will it take the second planter to finish the job?
thin eagle
ye 😭
shadow verge
let the total work be x
thin eagle
mhmmm
thin eagle
okee
flat frigateBOT
Result:
45
That is 45 hrs
thin eagle
yeah because 75 pecent of whole work that is 100 and then 60 hours is all work
thin eagle
ye because we calculated the %
shadow verge
Work done by 1st in 20 hrs ?
.
thin eagle
hmmm let me think
shadow verge
Or in 1 hr x/60 work
.
thin eagle
i guess thats true, because the first broke and the second kept working after 20 hours
shadow verge
Nah
thin eagle
😭
thin eagle
oh
thin eagle
i need to calculate somehow
thin eagle
oh
shadow verge
You understand?
thin eagle
900..?
thin eagle
i multiplied 20 by 45
shadow verge
We multiply 20 to both sides !
shadow verge
i multiplied 20 by 45
Why so, should i re explain ?
thin eagle
Why so, should i re explain ?
i thought that 45 of job is done in 1 hour and there were 20 hours so..
shadow verge
i thought that 45 of job is done in 1 hour and there were 20 hours so..
1 hr equivalent of second drill = x/45 work
So now we multiply 20
20 hrs = 20x/45
Understood?
thin eagle
i guess
flat frigateBOT
Result:
0.77777777777778
but in school we get discriminant or something like that
flat frigateBOT
Result:
0.77777777777778
So 7x/9 work is done !
2x/9 work left
x amount of work completed in 45 hrs by second planter
Or 2x/9 completed in 2/9 × 45
Or 10 HOURS
shadow verge
If you can just forget what they did at school and look at what I did
You will be able to explain well
thin eagle
I was readint evereything you wrote with open mouth and widely open eyes thinking about my future that im lost with maths, but i will try to understand
shadow verge
I was readint evereything you wrote with open mouth and widely open eyes thinkin...
Read again, I'm here if you've any difficulty ping me
thin eagle
but will the teacher will be fine with this method..?
shadow verge
but will the teacher will be fine with this method..?
Why not !
thin eagle
we did it with table
shadow verge
we did it with table
Yeah she made a table for easier understanding
thin eagle
but its still hard ;(
shadow verge
Try to understand what I did
shadow verge
Ok
So
Let total work Be X
Now in how much time can first planter complete whole work ?
thin eagle
x work too?
thin eagle
i dont know ;( I dont have any number just a letter how can it mean a work...
thin eagle
10
shadow verge
Just like that
Ok let the work be 100 then
If you're facing a problem with the variable
thin eagle
ye...
shadow verge
Total work = 100 ok ?
thin eagle
mhm
thin eagle
ye
shadow verge
so in 20 hrs how much work ?
shadow verge
Why ?
shadow verge
or i need to mulitply the 1,6666667
Yess
Consider the example I gave
50 sums 5 hrs
In 1 hr 10 sums
So in 1*20 hrs 10×20 sums
Like that !!
thin eagle
oh
shadow verge
Calculate similarly for the second one
shadow verge
75/100 × 60
thin eagle
yeah 45
thin eagle
It's more important you understand and remember the methodology
the topic will pass and i will be good, i hope..
there was a task from book that even teacher had struggles with..
she spent all lesson and on the end she used AI for help...
shadow verge
there was a task from book that even teacher had struggles with..
😭 bro what !
thin eagle
ye this happened
shadow verge
You Must Understand!
thin eagle
:(
shadow verge
It's almost 30 mins why do you think I'm here for 😭
shadow verge
Anyways continue with the problem
shadow verge
its too hard
It's your mind, that calls it hard, see it as easy and it shall be so
shadow verge
I feel you
thin eagle
damn.. my confidence with maths is lower then with anything else
shadow verge
i like mine more
take 100 common and calculate the fractions
shadow verge
Lower ?
thin eagle
and 60*20 45**20 is upper?
shadow verge
100(20/60 + 20/45)
This is meant to be
thin eagle
60*20+45**20
100
oh
200/60
and
200/45?
😭
I suffer with maths
sorry
i guess i will just tell the teacher that it was too hard
i showed my mom
and she told me I can not do it
shadow verge
so yeah thanks for help
Hey sorry my battery died !
thin eagle
Hey sorry my battery died !
its fine, but im just obviously waste of time :( someone else literally seeks help and like wants to learn stuff for themselves not for school..
shadow verge
its fine, but im just obviously waste of time :( someone else literally seeks he...
😭 nah not that
You tried to learn
And I would be too happy if I could teach you !
thin eagle
it would be cool if we could meet irl
shadow verge
it would be cool if we could meet irl
That's too difficult, but you can DM me for assistance
thin eagle
That's too difficult, but you can DM me for assistance
can we be friends? 😭 just for fun you seem like patient person
shadow verge
can we be friends? 😭 just for fun you seem like patient person
Surely bro !
thin eagle
Surely bro !
yeyyy
lean otter
If w = 50 - p then what's the product moment correlation coefficient between w and p
safe radishBOT
If w = 50 - p then what's the product moment correlation coefficient between w a...
@lean otter Has your question been resolved?
lean otter
<@&286206848099549185>
plucky elk
what are the formulas you're given for correlation coefficient
plucky elk
and what's the formula for each Sxy, Sxx, Syy for w and p
lean otter
plucky elk
is the answer supposed to be in terms of p or w?
do you just plug w_i = 50 - p_i into those equations?
lean otter
is the answer supposed to be in terms of p or w?
The answer is a value so neither?
Here's the thing
The question is a 1 mark question
So no steps were done
plucky elk
what's the answer
lean otter
-1
plucky elk
lean otter
🤷♂️
plucky elk
it's just the slope i guess
w = 50 - p is of the form y = mx + b. and the correlation coefficient of the latter is m
plucky elk
they're the same in this case
lean otter
And how am I supposed to guess that
plucky elk
once you plug in w and p into these equations
plucky elk
Sxy/((Sxx*Syy)^0.5)
say in terms of just p. then there will be cancellations in this fraction
so you don't "guess" per se, but you can prove it
but if you say it's simpler than that and you don't want to do any calculations, then just hand wave and say it's the slope
lean otter
But since it's a 1 mark question it should be a straight forward which requires no real calculations, at least in my curriculum
Mark scheme doesn't even show steps or explanations
Just a simple -1
But i guess the product moment coefficient correlation is just how linear the two variables and whether they increase together or not
So I guess they're perfectly linear in this scenario
lean otter
Yeah the slope would be the regression coefficient right
plucky elk
right
spiral saddle
Find the number of perfect squares less than $10,000$ that can be represented as the difference of two consecutive perfect squares.
safe radishBOT
Find the number of perfect squares less than $10,000$ that can be represented as...
flat frigateBOT
938c2cc0dcc05f2b68c4287040cfcf71
brave wolf
Find the number of perfect squares less than $10,000$ that can be represented as...
try writting stuff algebraically
split holly
u just want answer or also process
brave wolf
u just want answer or also process
As a helper, you aren't even allowed to give answers
the best thing you can do is give hints and guide the OP through the problem
essentially help them solve it themselves
split holly
i mean, is computer allowed?
brave wolf
you certainly dont need computer for this
spiral saddle
try writting stuff algebraically
which stuff
brave wolf
which stuff
the question
spiral saddle
how
spiral saddle
(x-1)^2 - x^2
spiral saddle
x^2 - (x-1)^2
brave wolf
x^2 - (x-1)^2
okay, yeah, this works
now try doing some algebra and see what you can figure out
brave wolf
so a number can be written as difference of 2 consecutive squares iff it can be written as 2x - 1 for some integer x
what numbers can be written in that form?
spiral saddle
odd
brave wolf
can you finish the question now?
spiral saddle
is counting the number of odd in 10000
spiral saddle
1 to 9999 inclusive
brave wolf
you still missed a part of it
spiral saddle
number of odds perfect squarea in [1,9999]
brave wolf
yeah, that's good
spiral saddle
when n is odd ig
brave wolf
and how many perfect squares less than 10,000 are there?
spiral saddle
idk how to count dat
brave wolf
what's the largest perfect square <= 10,000?
spiral saddle
,w sqrt(10000)
flat frigateBOT
brave wolf
100^2 is the largest one, yep. What other perfect squares are less than 10,000?
flat frigateBOT
spiral saddle
idk how to count them
spiral saddle
we need first 100 perfect squares
brave wolf
yeah, just list first few
you'll see the pattern
it'll be really obvious once you spot it
brave wolf
yeah
and somewhere in the end we have 100^2
how many could there be...
yeah lol
it was correct
if we exclude the 100, there are just 99. But that's a detail
how many of these are odd?
spiral saddle
49
flat frigateBOT
Result:
49.5
1,3,5,...(2n-1), ..., 99
brave wolf
1,3,5,...(2n-1), ..., 99
are there more odd numbers or even numbers in this list?
spiral saddle
from 1 to 99 there is more odd than even yeah
brave wolf
yeah, so 50
spiral saddle
[1,99]
brave wolf
alternatively, you can write 99 as 2 * 50 - 1, and then the list is just list of 2n - 1 where n ranges from 1 to 50 (since it ends with 99 = 2 * 50 - 1)
and there are obviously 50 such values
and that should be the solution to the question
safe radishBOT
safe radishBOT
Available help channel!
full sparrow
I really would like to understand how to solve these for future reference and the answer for R
safe radishBOT
I really would like to understand how to solve these for future reference and th...
brave wolf
well so we have a right triangle and we know some of his sides
and we wanna know one of its sides as well
there is a well-known theorem which relates sides of a right triangle, so maybe we could try it...
shadow verge
there is a well-known theorem which relates sides of a right triangle, so maybe ...
Pythagoras!!
safe radishBOT
safe radishBOT
Available help channel!
coral dagger
So for cos(A) why do we get the degrees 60, but but for sin(A), we get the y coordinate which would be sqrt(3)/2?
safe radishBOT
So for cos(A) why do we get the degrees 60, but but for sin(A), we get the y coo...
coral dagger
Shouldn't it be that cos(a), just stays 1/2, as it's the x coordinate?
fickle monolith
what?
coral dagger
Or is it a tool to grab the degrees, then from that we find sin(A)?
Lemme draw dis 1 sec
coral dagger
Ya dig
coral dagger
i assume a is cos^-1(1/2) and b is tan^-1(1)
Yes
fickle monolith
so did you actually find the values of a and b?
coral dagger
so did you actually find the values of a and b?
I found the A of sin n cos
But my question is
Why is cos(a) the degree
But sin(a) is the y coordinate?
It should follow cos(a) would be da x coordinate no?
fickle monolith
Why is cos(a) the degree
who told you that
fickle monolith
cos(a) and sin(a) are the Y coordinates
and A and B themselves are the X coordinates
fickle monolith
WAIT NO
coral dagger
Nah it's right I just checked
fickle monolith
i messed up
coral dagger
fickle monolith
the coordinates are in the form of (x,y) = (cosθ,sinθ)
coral dagger
Yeah
fickle monolith
seems fine to me
safe radishBOT
safe radishBOT
Available help channel!
stone barn
I tried watching a YouTube tutorial on how to do this but somehow I still can’t get the answer right idk why
safe radishBOT
I tried watching a YouTube tutorial on how to do this but somehow I still can’t ...
fathom jewel
I tried watching a YouTube tutorial on how to do this but somehow I still can’t ...
which of these
stone barn
This is what I done (pls don’t judge idk what I’m doing and my handwriting is dying)
Question 1a
fathom jewel
This is what I done (pls don’t judge idk what I’m doing and my handwriting is dy...
it's right, just a little notational error
stone barn
Uhoh
fathom jewel
you forgot to write the bounds to the x³/3
fathom jewel
stone barn
Ohh
fathom jewel
but else it's good
unique oyster
is it exercise 1a?
fathom jewel
or wait that's c)
stone barn
Ex 9L question 1a
fathom jewel
it's the same
unique oyster
your answer is correct
stone barn
is it
fathom jewel
8(2/3) means 8 * 3/3 + 2/3 or 8 wholes + 2/3