#help-10
lime mural
other channel pls
thick harness
ok
lime mural
How about this?
2sec^2(x) = 2(1/cosx)(1/cosx)?
obtuse pebbleBOT
@lime mural Has your question been resolved?
timid silo
v1, v2, v3, v4 are linearly independent, how do I check if z1, z2, z3, z4 are linearly independent?
obtuse pebbleBOT
v1, v2, v3, v4 are linearly independent, how do I check if z1, z2, z3, z4 are li...
timid silo
and if they are dependent I'm supposed to give a linear relation
timid silo
but do i put the vectors in columns or what
frosty river
$\begin{pmatrix}2 & 1 & 1 & 3\0 & 2 & 3 & 1\ 1 & 3 & 2 & 5\ 1 & 1 & 0 & 3\end{pmatrix}\begin{pmatrix}v_1\ v_2\ v_3\ v_4\end{pmatrix}=\begin{pmatrix}z_1\ z_2 \ z_3 \ z_4\end{pmatrix}$
warm shaleBOT
jnkena
frosty river
Do you agree?
warped agate
How about this?
2sec^2(x) = 2(1/cosx)(1/cosx)?
yes
frosty river
If the martrix is invertible you can invert it and you get an expression of z1, z2, z3, z4 in terms of v1, v2, v3, v4
They're independent if that matrix is invertible since l.i. does not depend on the basis
brave bramble
I see we have a vector of vectors
frosty river
Yess
No problem with that
Since v_i are l.i. they form a basis so z_1= (2, 1, 1, 3), z_2=(0,2,3,1)... etc. in that basis
That's what basis means, one can pass from linear combination of vectors to list of numbers and the other way round
timid silo
this reduces to and how do I give a linear relation for this
frosty river
They're not l.i. because there's a row of zeros
timid silo
i know they arent
frosty river
Okay
frosty river
The intermediate steps you used to reduce the matrix gives you the linear comination because they're lineae combinations of rows and coloumns
timid silo
if I put z1, z2, z3, z4 and then I woudl have some result in the third row that says z3 = something*z4 wouldnt that imply that its true but that doesnt work LOL
frosty river
The rows are z_i and you used lineae combinations of rows to get a vector 0,0,0,0 so making steps back you get Σa_iz_i=0 with some a_i≠0, that's what dependent linear comination means
The linear combination is produced step by step in the process of reducing to echelon form
timid silo
wait no so I cant do it with 0 at the rights side like that
I have to include z1,z2...
vocal mural
If a negative exponent is outside of a bracket, does the whole thing flip
hexed agate
example?
vocal mural
hexed agate
,rotate
warm shaleBOT
vocal mural
It’s very basic, it’s just that I forgot how to do it
hexed agate
yes and the -4 also becomes 4
vocal mural
Ok so I’ve simplified everything and now it looks like this
What’s next
I’m supposed to flip the equation to turn the -4 positive and the solve it?
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
spare patrol
Hi does anyone here understand how to determine a scale factor of a geometric factral design?
obtuse pebbleBOT
Hi does anyone here understand how to determine a scale factor of a geometric fa...
spare patrol
I've been stuck for a few days since mine isnt what is usually teached at tutorials in yt or google.
Basically my initiator is an equilateral triangle, and its rule states that it must form an octagon with its base and it shall further increase its size by connecting the new base to the previous tips of the triangle
Basically my generator would be be like this
As such, if u add futher Iterations
It would result into this pattern
Now the problem lies with determining the actual scale factor of the growing generator or next iteration because im not adding the same shapes in order for it to be a specific scale, im simply making it bigger due to my design.
Hope everyone understands my question and thanks for trying to help me soon
<@&286206848099549185>
obtuse pebbleBOT
@spare patrol Has your question been resolved?
foggy marsh
Do you have a rigorous definition of scale factor?
obtuse pebbleBOT
@spare patrol Has your question been resolved?
timid silo
obtuse pebbleBOT
https://cdn.discordapp.com/attachments/761391820269682689/982586435217526814/unk...
timid silo
guys, for this SL problem I found that the eigenfunctions are y(x)=xAsin(nπx) with eigenvalues (nπ)^2
there are no complex-valued eigenvalues right? since the conditions are periodic
would the orthogonality conditions of the eigenfunctions just be the integral of A^2x^2sinπnxsinπmx=kronecker(mn)?
for a period of 1
obtuse pebbleBOT
@timid silo Has your question been resolved?
obtuse pebbleBOT
@timid silo Has your question been resolved?
obtuse pebbleBOT
@timid silo Has your question been resolved?
obtuse pebbleBOT
@timid silo Has your question been resolved?
spare patrol
.reopen
tardy epoch
.close
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
wicked epoch
Consider the three arithmetic sequences below:
4, 9, 14, 19, 24...
10, 21, 32, 43, 54...
16, 33, 50, 67, 84...
What is the first number to appear in all 3 sequences?
obtuse pebbleBOT
Consider the three arithmetic sequences below:
4, 9, 14, 19, 24...
10, 21, 32, 4...
cursive jolt
Consider the three arithmetic sequences below:
4, 9, 14, 19, 24...
10, 21, 32, 4...
Can you identify the operations that define each sequences ?
wicked epoch
Sequence 1 is 5x -1, sequence 2 is 11x-1 and sequence 3 is 17x-1
cursive jolt
right
So, what does "a number to appear in all 3 sequences" means in terms of x ?
You can try with 2 sequences first
wicked epoch
So, what does "a number to appear in all 3 sequences" means in terms of x ?
Nope, it can be at any point
It would be more accurate to say that
S1 = 5x -1
S2 = 11y -1
S3 = 17z-1
Since x doesn't have to = y or z, and vice versa
cursive jolt
It would be more accurate to say that
S1 = 5x -1
S2 = 11y -1
S3 = 17z-1
Since x ...
Yeah mb
Looks like a modular arithmetic system to me
compact shadow
Use lcm(5,11,17) is their product since they are relatively prime
obtuse pebbleBOT
@wicked epoch Has your question been resolved?
wicked epoch
Use lcm(5,11,17) is their product since they are relatively prime
yeah thats what i figured
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
timid silo
i’m really lost. The translation means : "Transform the formula to find T_1 : insert formula"
So i think they’re asking me to isolate the T_1, but i have no idea how to isolate a denominator
obtuse pebbleBOT
i’m really lost. The translation means : "Transform the formula to find T_1 : *i...
brazen saddle
#❓how-to-get-help , this channel is occupied, go to an available 1
brazen saddle
i’m really lost. The translation means : "Transform the formula to find T_1 : *i...
$\frac{p_1}{T_1}=\frac{p_2}{T_2}$
warm shaleBOT
Lelouch
brazen saddle
So you have this
timid silo
yes?
brazen saddle
You want an equation which only has T_1 on 1 side
timid silo
yes
brazen saddle
That is basically what the question is asking
Okay let's try diving both the sides by p_1 , yes?
$\frac{1}{T_1}=\frac{p_2}{(T_2)(p_1)}$
warm shaleBOT
Lelouch
brazen saddle
Now we have got this, with me untill here?
timid silo
we’d have T_1 = P_2/T_1 if i’m not mistaken
brazen saddle
**Lelouch**
Leave that , @timid silo do u understand this?
timid silo
hold on
brazen saddle
I divided p_1 on both the sides
timid silo
okay i got it
brazen saddle
**Lelouch**
@timid silo from here , we take reciprocal on both sides
Or let's just say we flip both sides over :D
timid silo
<@456226577798135808> from here , we take reciprocal on both sides
what does reciprocal mean?
in mathematical terms
brazen saddle
It means the numerator on both sides becomes the denominator and vice versa
brazen saddle
$T_1=\frac{(T_2)(p_1)}{(p_2)}$
timid silo
alright, damn okay
warm shaleBOT
Lelouch
brazen saddle
There , better
timid silo
can we simplify it thereupon ?
timid silo
alright, but why can’t we substract the P’s?
brazen saddle
Why do that?
brazen saddle
alright, but why can’t we substract the P’s?
Could u explain further , what do u mean by that?
timid silo
wouldn’t it simplify the expression?
timid silo
Could u explain further , what do u mean by that?
oh nvm, it’s not an exponent
excuse my ignorance
brazen saddle
That's alright
timid silo
i think i don’t understand what is the difference between p^1 and p_1
brazen saddle
So the no. Below p_1 is only there to differentiate it from other p terms
Otherwise u would get confused
brazen saddle
p^n however ,eans that u are multiplying p by itself n times
So for example , 3^2 means 3 times 3
That would be 9
brazen saddle
U too
bleak dragon
I have a question about Graph Theory:
Is there some terminology to describe a path where every vertex has a degree of at least 1 and at most 2? And how would I "divide" any undirected graph into paths like these?
Essentially I want to end up with simple paths that dont have any "splits". Im sorry I dont know enough of the technical terminology to really describe what Im trying to do accurately.
I can post a picture that illustrates the problem if requested.
obtuse pebbleBOT
I have a question about Graph Theory:
Is there some terminology to describe a pa...
royal basin
a picture would be nice
bleak dragon
Then here is an illustration for one specific graph
kind hawk
when you say degree of each vertex, do you mean with respect to the path or to the whole graph
bleak dragon
With respect to the path (I think) ofcourse you cannot change the degree of a vertex in a path, but I hope the picture clears up what I mean
kind hawk
so just paths which don't intersect themselves?
bleak dragon
Well they can share a vertex at the either end
royal basin
so you want to decompose graphs into a union of paths like these?
bleak dragon
Yes.
royal basin
such decompositions don't seem unique as-is
bleak dragon
Are you sure? I couldnt think of another way to decompose that specific graph at least
kind hawk
you can probably just start at an intersection or leaf, then follow a chain of nodes until you get to a new intersection/leaf and then repeat
essentially what you are doing is creating a new graph consisting just of the intersections and leaves of the original graph
here with intersection I mean a vertex of degree >= 3
bleak dragon
Hmm yeah I was hoping there was some terminology or algorithm that describes this that I could look up
kind hawk
but yeah it's not unique. the yellow circle at the top right can be split into several smaller paths
bleak dragon
Ahh yeah right
kind hawk
it seems similar to considering minors of a graph
hmm but still different
you are doing some edge contractions in a sense
each path is the same as deleting all vertices except the endpoints and making the endpoints equal
the yellow circle doesn't work super well with that view tho
maybe you have to ban circles
bleak dragon
Yeah unfortunately I cant really do that. I need this for a specific algorithm that needs to be able to handle cyclic graphs.
However I also have further requirements where every vertex essentially has some data attach to it, and in some circumstances it would act as a "degree >= 3" vertex
If you like I can elaborate
kind hawk
well not circles in the graph. just circles as allowed paths
like the yellow circle you did. instead of splitting it up into smaller paths
bleak dragon
Ahh I see what you mean
Since my requirements are a little special and go outside of pure graph theory I think I will just have to come up with my own algorithm to do exactly what I need
bleak dragon
Hmm Im not sure if thats exactly what Im trying to do
Is there really no terminology of a "simple chain" in a graph, where every vertex has a degree of at most 2 inside the "chain"?
I guess what I call a "simple chain" would be a subgraph
so really the question is if graphs with all vertices having a degree of at most 2 have a special name
kind hawk
"no-self-intersecting path" or something
I don't know a specific term
but I'm also not an expert in graph theory and there is a lot of terminology
often the definition of path already includes that they don't self-intersect
https://en.wikipedia.org/wiki/Path_(graph_theory) for example here
difference between walk, trail and path
bleak dragon
self-avoidance might be the concept Im trying to describe
But anyway, I think have enough info to write the algorithm I need...just unsatisfied that I cant find some good terminology to describe what I want to do really...
kind hawk
do you want something like splitting the graph $G$ into paths $P_1,\ldots, P_n$ such that if $v\in P_i$ is a vertex of degree $d_G(v) \geq 3$, then $v$ is an endpoint of $P_i$ ?
warm shaleBOT
Denascite
kind hawk
and here in the notion path I include that if $v\in P_i$, then $1\leq d_{P_i}(v)\leq 2$
warm shaleBOT
Denascite
kind hawk
but if you want that, then the yellow circle from your picture wouldn't be allowed
bleak dragon
Well yeah as I said, there is more to it than just this. This specific algorithm is related to Inverse Kinematics.
I need to divide an undirected graph where every vertex is a "joint" and every edge is a "bone" in a way that the FABRIK algorithm can solve it.
Not every graph is divisible like that so I would also have to detect that,
There can be at most one vertex that is marked as the "root" (R) and multiple vertices marked as "end-effectors" (EE).
When an EE vertex is directly connected to a R vertex without any "intersections" then thats the most simple chain you can get.
When there is an "intersection" the intersection vertex turns into a Sub-Base (SB) and the SB is essentially then treated like an R node from there to the EE.
To give you an example these would all be valid chains:
However there can be multiple of Sub-Bases per chain and cycles need special handling too, so yeah. I think I will just have to come up with my own algorithm to do exactly what I want.
kind hawk
seems like it
but it roughly just sounds like decomposing the graph into paths and circles
bleak dragon
Some modfidied DFS starting at the root should probably do the trick
Except when there is no root 🙃
Anyway, thanks for the input I will now close
!close
or not.
ahh period
.close
upper widget
part c
tulip haven
@strange stump did you meant e^ipi? if yes then it is -1 else it is simply pi*i
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
static patio
how many subsets of {1,2, ... n } exist, such that subset must contain at least 1 odd and 1 even element ?
obtuse pebbleBOT
how many subsets of {1,2, ... n } exist, such that subset must contain at least ...
warm canopy
Try counting how many don't satisfy that property
static patio
all subsets are 2^n
pine sail
Yep.
static patio
hmm
pine sail
There are singleton sets. They don't satisfy the condition also.
Think like that, and try figuring it out.
static patio
hmm, idk
obtuse pebbleBOT
@static patio Has your question been resolved?
high lily
not quite no
what you did here was find an expression for the distance between the two curves
and determine when that's 0
nothing about the max
note that you have a quadratic expression and to find the max, you could consider properties of the vertex
alternatively you can use calculus
the stuff at the end is a bit dodgy
9/4 isn't between -1 and 2
note that q=1/2 is the location where the maximal occurs (which is what they're asking for)
9/4 is the max length of PQ
-1 < (q=1/2) < 2
waxen radish
am new to solving equations for multiple variables, could someone provide a hint for x³-2xy=-3/y
obtuse pebbleBOT
am new to solving equations for multiple variables, could someone provide a hint...
waxen radish
I intend to either solve for x or y, which one doesn't matter
timid silo
$x^3-2xy+\frac{3}{y}=0$
warm shaleBOT
π^2=g
timid silo
any conditions like $x,y \in \mathbb{N}$
warm shaleBOT
π^2=g
waxen radish
ah that was a question sry, there are no further conditions except x,y e R
but that doesn't really ease the process
waxen radish
there are probably inifnite solutions
yes but I'd expect to have a solution similar to x = (something including y)
timid silo
oh ok so ur total question is
$x^3-2xy+\frac{3}{y}=0$
and $x,y \in \mathbb{N}$
solve for x or y
warm shaleBOT
π^2=g
obtuse pebbleBOT
static patio
how to calculate this sum
sage iron
generating functions
static patio
bad
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
toxic harbor
Why is -2 not part of the domain?
obtuse pebbleBOT
Why is -2 not part of the domain?
toxic harbor
(-5)[(0)(0)]=0
sqrt(0) is nonnegative
So why when I graph it I get a domain of x>= 3
and not x>=-2
versed cave
so (x-3)(x+2)² >= 0
Try to solve this
high lily
-2 is part of the domain
however not all values greater than -2 are part of the domain
high lily
sometimes they don't graph individual points
high lily
depends on what type of notation they want you to use
toxic harbor
Itj ust says "find the domain of each function"
high lily
inequality notation
interval notation
or the overkill set builder notation
toxic harbor
We'll go with interval lol
high lily
in that case
{-2} U [3, inf)
toxic harbor
What would this be in inequality notation?
sharp acorn
@full oar
obtuse pebbleBOT
<@733851428388601968>
sharp acorn
oop here we are
full oar
hi
full oar
ohh ok
sharp acorn
see how the second I typed something in, it made this channel occupied?
that's what it would have done for you
sharp acorn
alr so what's the problem?
full oar
sharp acorn
make sure to say which ones you need help with
nocturne minnow
A hint, that I can observe is, it's going to have a fraction
nocturne minnow
Determine the common difference
You're given two terms sequentially, you can use that to find the difference
nocturne minnow
Which one?
full oar
a
nocturne minnow
How are you getting 11 1/2?
full oar
idek
nocturne minnow
You're given two terms sequentially, you can use that to find the difference
.
The two given numbers that are in a row
Use that to find the difference
full oar
16 and 20 1/2?
nocturne minnow
Yes
nocturne minnow
Yes
full oar
4.5
sharp acorn
!!!!
sharp acorn
you got it!
nocturne minnow
Same process with the part B
full oar
okay ty
nocturne minnow
Determine the common difference and apply that
full oar
alr tysm
sharp acorn
@full oar when you're done, lmk. I'll type in ".close" and it'll close the question
full oar
<@733851428388601968> when you're done, lmk. I'll type in ".close" and it'll clo...
okay also question for c and d
its _, 16, 4, 1
so is it like 4*4 = 16
so 16*16 = blank?
full oar
oh
sharp acorn
16 divided by some number is 4
full oar
4
full oar
64
sharp acorn
right on!
full oar
ohhh ok
sharp acorn
and you see how the pattern stays constant once you write that in
sharp acorn
yeah! that one's a little tricky, but it's a similar concept
full oar
so 1 / 3?
sharp acorn
exactly!
sharp acorn
before we close this btw
have you been taught arithmetic and geometric sequences?
bc that's what these are
full oar
kinda
sharp acorn
alright, I'll quickly explain them
So what we did first, a and b, those are arithmetic sequences
full oar
ok
sharp acorn
those are sequences where the pattern involves a number being added or subtracted
full oar
ohh
full oar
yup
sharp acorn
The number 1, in this case, is called the common difference
full oar
okay
sharp acorn
that's what dhd was referring to
c and d are geometric sequences
these are sequences that involve multiplying or dividing by the same number
full oar
mhm
sharp acorn
for instance: 1, 2, 4, 8, 16
each number gets multiplied by 2
2, in this case, is called the common ratio
hope that helped!
is that all?
full oar
you have to do all of them?
i think i just need like the main idea so i can do the rest myself
sharp acorn
okay then
I think that idea is gonna be hard for me to give given what I have to work with
have you tried doing 7 on your own yet?
sharp acorn
can you walk me through what you've tried?
full oar
wait first
sharp acorn
maybe send a picture of your work?
sharp acorn
wait first
oh go ahead
full oar
i need to make sure if i read the question right
sharp acorn
kk go ahead
full oar
is it asking for like the term that gets 83 like for example term 15 is 83
sharp acorn
yeah
full oar
28th term
full oar
i just added by 3s
ik its not efficient but it works
full oar
okk
full oar
grade 8
full oar
find the common difference and then just add until i get somewhere near 413
but thats gonna take a long time
sharp acorn
yeah, for sure
hexed agate
first identify what kind of sequence is this
sharp acorn
but thats gonna take a long time
have you been shown how to make formulas for arithmetic sequences?
full oar
have you been shown how to make formulas for arithmetic sequences?
i dont think so
obtuse pebbleBOT
@sharp acorn Has your question been resolved?
full oar
do you know how to do series
no
sharp acorn
that's ok... that's something you learn how to do in like 10th or 11th grade
you can at least get the common difference, right?
sharp acorn
sure
i'll give you the formula for the sum of an arithmetic sequence
one sec
where k is the number of terms you want to sum (in this case, 500)
a_k is the kth term in the sequence (so the 500th term)
a_1 is the first term in the sequence
@full oar all you have to do is plug your numbers into this formula, and it'll work
obtuse pebbleBOT
@sharp acorn Has your question been resolved?
sharp acorn
@full oar you done yet? we gotta close this channel if you're done
sharp acorn
no, k would be 500
full oar
okk
full oar
so its 7_100 + 7
sharp acorn
no no
sharp acorn
yeah but a_k is a number on its own
full oar
oh
warm shaleBOT
mailbox
sharp acorn
does that make more sense?
sharp acorn
**mailbox**
a_k is the same think as ak in this picture
it's the kth term in your sequence
so look, for the first one
the first term of your sequence is 7, like you said
a_1 = 7
sharp acorn
a_k is the kth term in your sequence
since k = 100
a_100 is the 100th term in your sequence
so we want to find the hundredth term in your sequence
full oar
okay but a is 7 right?
sharp acorn
a alone doesn't mean anything
yeah
a_(number) is that number in the sequence
for instance, a_2 is the second term in the sequence
that would be 12
a_3 = 17
full oar
okay so how would i put that in a calcultor
sharp acorn
$a_k = d(k-1) + a_1$
warm shaleBOT
mailbox
sharp acorn
I think we're running out of time, so I'll skip the explanation and just give u this
sharp acorn
if you want to find the hundredth term of the sequence, plug in k = 100 into there
d is your common difference
sharp acorn
yeah it is
full oar
OHH
right okay
so if i were to oput a_1 in the calcultor
its just the first number right
sharp acorn
make sense?
full oar
**mailbox**
wait this is a_k right
main lodge
I dont suppose you know the answer? I think I know how to solve it but don't want to tell you the wrong solution just in case
full oar
I dont suppose you know the answer? I think I know how to solve it but don't wan...
could u tell me how u did it? the answer is fine too
idm
main lodge
No matter what route the cyclist takes they must go east 5 times and south 5 times
Therefore you have this set of options
SSSSSEEEEE and you can reorder them to change the route
So you want to find how many permutations of this string you can have without repetition
Therefore 10! / (5! * 5!) = 252
full oar
Therefore 10! / (5! * 5!) = 252
252 different routes?
main lodge
252 different routes?
I believe so, yeah
full oar
I believe so, yeah
ohh ok
full oar
Therefore 10! / (5! * 5!) = 252
question tho why'd u add ! after the number
main lodge
It means factorial
10! Is 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
5! Is 5 * 4 * 3 * 2 * 1
Etc...
full oar
ohh ok ty
sharp acorn
@full oar are you done?
full oar
<@733851428388601968> are you done?
yup
sharp acorn
.close
valid badger
obtuse pebbleBOT
valid badger
Anyone know what im messing up on?
No matter how i do it, its never right
.close
obtuse pebbleBOT
forest sinew
whats up? whats the question
void pelican
whats up? whats the question
trail portal
whats up? whats the question
timid silo
what’s up? what’s the question
main lodge
whats up? whats the question
modern spruce
what’s up? what’s the question
dapper bloom
what’s up? what’s the question
modern spruce
Right ok
robust sleet
what’s up? what’s the question
timid silo
what’s up, what’s the question?
forest sinew
no i mean what are you supposed to do?
robust sleet
no i mean what are you supposed to do?
forest sinew
what is the task
void pelican
whats up? whats the question
trail portal
I’d think that 10 people asking you for the fucking question should set off some internal alarms
robust sleet
The answer is pi
forest sinew
what are you supposed to do or complete
trail portal
That’s not a fucking question, that’s a number line
robust sleet
Youre Qualcomm
timid silo
what’s up, what’s the question?
void pelican
are there words????
trail portal
what’s up? what’s the question
naive coral
yes yes... x -> x+0.6 in Aut(0.1Z)
void pelican
whats up? whats the question
forest sinew
whats the class
robust sleet
whats up? whats the question
modern spruce
Th anwser is 16.6666666666
void pelican
wtf are u supposed to fo with that
forest sinew
a puzzle 
dapper bloom
If there's no other info you should ask your instructor?
trail portal
Is it asking you what the number is?
void pelican
the answer is $\pi_1(S^1)$
naive coral
guys, now this may sound crazy but I think I've figured it out
warm shaleBOT
gmod
trail portal
Like what the red dot is?
forest sinew
cmon yall this is an active help channel
robust sleet
guys, now this may sound crazy but I think I've figured it out says wew
modern spruce
Wait no
naive coral
they want them to find the value of the "number" situated at the "dot"
robust sleet
Thanks wew
naive coral
yes I'm backing you up slurp
timid silo
cmon yall this is an active help channel
what’s up? what’s the question
forest sinew
they want them to find the value of the "number" situated at the "dot"
@timid silo does this sound reasonable
trail portal
There are six lines!
modern spruce
The anwser is 66.666664
forest sinew
sorry about all these people
trail portal
Which means the magnitude of each line is…..
robust sleet
The anwser is 66.666664
In fraction pls
forest sinew
idk why they wanna do this here
forest sinew
its not funny please stop
naive coral
Six lines!
ok ok so one gap is... 1/6 right??? cause when you move 6 of them u get to 1...
modern spruce
16.66666 x 4
warm shaleBOT
modern spruce
=66.66664
dapper bloom
Your question is not possible to answer without more info.
forest sinew
can you guys please leave 👀
naive coral
tbf my advice is actually helpful jan
forest sinew
yea
robust sleet
Finally
trail portal
Which means that the value is…. -2/6 OMG
BUT WHATS THIS? It can be simplified????? -2/6=1/3?????
WHA????
forest sinew
i think this is the question its asking
timid silo
what’s up? what’s the question
main lodge
Factorial of 1/6?
,w Gamma[1/6]
robust sleet
After 500 times u gave question
warm shaleBOT
modern spruce
208302/3125 is the anwser
dapper bloom
That is the question?
modern spruce
208302/3125 is the anwser
modern spruce
208302/3125
modern spruce
208302/3125 = 66.6664
robust sleet
Ncm
robust sleet
This question is actually hard
timid silo
don’t trust me
robust sleet
It isnt 0.8
modern spruce
It’s the simplest 208302/3125
timid silo
i’m just saying random shit for fun
void pelican
are u just trying to find the location @timid silo
warm shaleBOT
modern spruce
My anwser:
Each line is 16.6666666
Red dot is 4th line= 66.6664
As a fraction = 208302/3125
robust sleet
So true
dapper bloom
Each line represents 1/6 of a unit towards 1. Count each line, add up that many 1/6's.
nocturne minnow
People asked if there were words then you finally presented it? There's the question that people were asking for 👏
modern spruce
My anwser:
Each line is 16.6666666
Red dot is 4th line= 66.6664
As a fraction = 208302/3125
=2/3
nocturne minnow
Each line represents 1/6 of a unit towards 1. Count each line, add up that many ...
Here's the hint
robust sleet
Answer what we ask u
dapper bloom
See how there are four lines to get to the red dot?
modern spruce
@timid silo it’s 2/3
nocturne minnow
<@456226577798135808> it’s 2/3
Don't give out answers
modern spruce
208302/3125 = 2/3
nocturne minnow
Not the purpose of the server
robust sleet
Bruh
modern spruce
Not the purpose of the server
Right sorry
robust sleet
,w 208302/3125
warm shaleBOT
void pelican
bruh
modern spruce
It is
robust sleet
What
dapper bloom
Like, in general the hint I gave you will work for any question of this type. If there are n notches between zero and 1 you just add or subtract 1/n for as many times as there are notches to reach your red dot.
People were just trying to be goofy
robust sleet
,w goofty
warm shaleBOT
nocturne minnow
Because it's a free world, people can do what they want
As you witnessed, all you posted was a number line with no context and it took you 10 minutes to properly do so
trail briar
Is there an equation that could model 2^(x-1) being added to the previous number in the equation, that starts at (0,2)?
obtuse pebbleBOT
Is there an equation that could model 2^(x-1) being added to the previous number...
tardy epoch
Is there an equation that could model 2^(x-1) being added to the previous number...
What domain are you considering
Does x start at 0?
tardy epoch
Try writing what you want in a recursive formula
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
vapid snow
obtuse pebbleBOT
warm canopy
Yes?
warm canopy
What have you tried
warm canopy
Youre literally there
vapid snow
There's nothing more to do
warm canopy
Now rewrite the RHS in terms of sin and cos
vapid snow
Alr
Wait a minute
I see what ur saying
But can sinx² go over 1 if you factor it
Like is this allowed
warm canopy
Yeah, that's how fractions work with multiplication
obtuse pebbleBOT
Available help channel!
keen charm
[Grade 12 math: Algebra] Have I answered these questions correctly? Looking for clarification.
obtuse pebbleBOT
[Grade 12 math: Algebra] Have I answered these questions correctly? Looking for ...
hollow gust
obtuse pebbleBOT
@keen charm Has your question been resolved?
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
glass parrot
is this correct
obtuse pebbleBOT
is this correct
tranquil arch
correct
glass parrot
.close
vapid snow
obtuse pebbleBOT
spice rune
do you know trigonometry? or is it about the Pythagorean theorem?
vapid snow
its special traingles
and our teacher gave like 1 example
i didnt really get
and now we have this
vapid snow
im not sure how to apply th e square root 2
spice rune
do you know the Pythagorean theorem though?
spice rune
ok, so the "specialty" of this triangle is that its left side is x/2, right?
spice rune
then you have $x^2 = \qty(\frac{x}{2})^2 + \qty(\frac{5 \sqrt{12}}{6})^2$
warm shaleBOT
rept1d
spice rune
just solve it
spice rune
the pythagorean theorem
vapid snow
Oh man i am lost in this section
spice rune
which one?
spice rune
it's just that c = x, a = x/2 and b = 5sqrt(12)/6
and you apply the pythagorean theorem
vapid snow
I think I see
fierce schooner
how about sin(60)=Opposite Side/Hypotenuse
sin(60)=Opposite Side/Hypotenuse = [5sqrt(12)/6]/x
spice rune
how about sin(60)=Opposite Side/Hypotenuse
if i understood correctly, they don't know trigonometry yet
obtuse pebbleBOT
@vapid snow Has your question been resolved?
thick harness
obtuse pebbleBOT
thick harness
don't know how to do it
urban patrol
You can factor out x^2 from the initial polynomial
x^2 is x and x
You're left with x^2-36
Through difference of squares we know it's x+6 and x-6
@thick harness
urban patrol
Difference of squares and also factor out x from x^2
timid silo
I need help figuring out the odds of something. If you have a 7x7 grid with a total of 49 squares, what are the odds that every "round" one plate is eliminated and you pick the correct plate that is the last standing.
obtuse pebbleBOT
I need help figuring out the odds of something. If you have a 7x7 grid with a to...
spice rune
I need help figuring out the odds of something. If you have a 7x7 grid with a to...
you mean you pick one plate, then 48 of them are removed, and you want to know the probability of the remaining one being the one you picked?
timid silo
Yes
spice rune
1/49
timid silo
In the figure below, AD and BC are diameters intersecting at the center O. If ∠AOB = 86⁰, then ∠ADB = 43⁰.
Is the statement TRUE?
obtuse pebbleBOT
In the figure below, AD and BC are diameters intersecting at the center O. If ∠A...
tranquil arch
yes
thick oracle
they arent diameters
diameters also contain the circles centre
theres no way the centre is there
timid silo
theres no way the centre is there
well, that's what the statement says
royal basin
diagram may well not be to scale
timid silo
diagram may well not be to scale
Yeah, but the statement is true?
obtuse pebbleBOT
@timid silo Has your question been resolved?
timid silo
.close
timid silo
Jace will conduct a research study about the effect of online classes to the attitude of the learners. There are 1,980 total students and a margin of error 3%, how many sample are needed?
obtuse pebbleBOT
Jace will conduct a research study about the effect of online classes to the att...
timid silo
<@&286206848099549185> hey what's up i am so sorry to ping you this early, i just need help really
merry wigeon
i can’t figure out the formula of this question
obtuse pebbleBOT
i can’t figure out the formula of this question
warm shaleBOT
obtuse pebbleBOT
@merry wigeon Has your question been resolved?
merry wigeon
help pls
twilit loom
let's say a is the percentage of raisins in Type A, and b is the percentage in Type B
firstly, we know the a = 2b, keep that in mind
we also know that 300a + 500b is the total number of raisins in the mixture. Since we also know that the mixture is 800 grams and is 11% raisins, there are 800 * 0.11 = 88 raisins
thus, 300a + 500b = 88
can you go from here?
obtuse pebbleBOT
@merry wigeon Has your question been resolved?
wraith lion
for part c: I've tried to multiply out the given dN/dt but that didn't get me anywhere. I'm not really understanding what they mean by maximums for either c or d.
obtuse pebbleBOT
for part c: I've tried to multiply out the given dN/dt but that didn't get me an...
@wraith lion Has your question been resolved?
wraith lion
<@&286206848099549185>
sage iron
for part c: I've tried to multiply out the given dN/dt but that didn't get me an...
graph the function and its derivative
the shape of the curve should be familiar to you
wraith lion
maybe this mark scheme will help, but I don't understand how they "imply" N=150 for c or even get to d
wraith lion
maybe when dN/dt=0?
stationary point?
wraith lion
<@&286206848099549185> can you just point in a right direction to get N=150 for part c or how to approach part d -> Peacemaker said to graph it but graphical methods will not get marks
hexed agate
sorry for d its dN/dt=0. For c I cant figure out where they got N=150. I assume it is when the slope is the steepest? Not sure how to find that
wraith lion
Why is the maximum N when dN/dt = 0 ?
ie how would I immediately be able to see that and equate it in an exam
wraith lion
sorry for d its dN/dt=0. For c I cant figure out where they got N=150. I assume ...
I'll bring up part c again later on in the day
hexed agate
because at max N (P) the slope of the tangent line will be zero
wraith lion
.close
thick harness
obtuse pebbleBOT
thick harness
can someone explain
to me
what this means
like
dilations and stuff like that
I'm pretty sure
slate cape
translations and stretches
brave bramble
Hard to answer without giving it away.
Vertical stretch by 3
Shift right 1
Shift up 2
Worth seeing the patterns. A vertical stretch is a constant multiplier in the front
bronze geyser
Explain, from were we got cosU3/5? and how?sinV6/13?
brave bramble
A shift right/left will be directly applied to x
A shift up/down will be a constant addition outside everything
brave bramble
Ye
brave bramble
,w graph x^2 and (x-1)^2 between -2 and 4
warm shaleBOT
brave bramble
You can see the red is just the blue, but shifted right by 1 unit
I could then shift it down by adding a -1 to the end
brave bramble
The a?
brave bramble
A vertical stretch is a constant multiplier in the front
Or vertical dialation. Same meaning
thick harness
\
so how would I describe this
translation of 2 units in the positive direction of the y-axis
that I did for the +2
but how do I do it for the 3
and x=1
ello g anyone there?
versed cave
There's also a translation on the x axis
when you translate you subtract values from x or y, so usually x becomes (x - (something)) and y becomes (y - (something))
in this case you have
y = 3(x - 1)³ + 2
which is just
y = 3x³
but translated
versed cave
translation of 1 unit in the positive direction of the x-axis
thick harness
yea
alr
but how do you do the 3
dilation of
3 units?
in.......
the y-axis
is that it
yea I got
it
It's a dilation of factor 3 in the x-axis
cuz the parabola
opens up and closes down
on the x-axis technically
I got it
ty g
.close
wraith lion
How did they get from step 1 to step 2 and how would I be able to spot this next time?
