you should probably find all the holes first before answering
this will also help for free response questions
#help-19
pastel steeple
odd edgeBOT
@atomic lotus Has your question been resolved?
odd edgeBOT
odd edgeBOT
Available help channel!
next knoll
hey
next knoll
is anyone there
mystic nova
is anyone there
no
next knoll
...
ornate bolt
yeah hello
mystic nova
Just send your question dude
next knoll
I need help with 1 thing
ornate bolt
xD
next knoll
what is Year 9 first term topics mainly?
strange aspen
what is Year 9 first term topics mainly?
Year 9 where exactly ?
wooden python
#study-discussion is a better place to ask for general stuff like this
mystic nova
His school have a website lol and it lists everything 
marble laurel
odd edgeBOT
@next knoll Has your question been resolved?
summer nest
I've been doing a problem where I have to find out which of the following is larger:
1999^1999 or 2000^1998
My thoughts are shown above, to simplify, I've attempted to make the exponents the same but I don't see a clear way to continue. Is my method correct? What do I need to do next?
smoky nacelle
you can't use a calculator, right?
summer nest
No
safe vapor
Yeah, but OPs work is wrong regardless since he didnt distribute corretly
smoky nacelle
wait, the 1999(1999^1998) or smth?
summer nest
Yes
safe vapor
you can use the definition of e if that's allowed
summer nest
The book doesn't cover logarithms at all though
wooden python
well step 1 would be to translate from comparing those big powers to comparing their logs
i.e. $1999 \ln(1999)$ vs. $1995 \ln(2000)$
clever fjordBOT
Ann
wooden python
and then maybe try to look at their difference
and write $\ln(1999)$ as $\ln(2000) + \ln\paren{1 - \frac{1}{2000}}$
clever fjordBOT
Ann
summer nest
Is there anything you can recommend for learning logarithms? I've never learned them properly
safe vapor
You can solve without logs if you want to use the definition of e
You can even do so without e or log. what math do you know so far?
summer nest
I'm going into yr 11 (uk) if that helps
wooden python
Is there anything you can recommend for learning logarithms? I've never learned ...
i guess khan academy or something
my idea's a bit calculus-y in flavor tho
summer nest
I'm going into yr 11 (uk) if that helps
Right now I'm learning alot of maths on my own; this specific question comes after a topic on inequalities
safe vapor
inequalities is very broad
does bernoulli's inequality ring a bell? What about induction?
if not, have you learned e at all?
summer nest
That's what this chapter specifically mentioned. I have learned induction & fairly basic things with e
noble ether
Wait
next knoll
no
safe vapor
Yeah that works if op knows limits/definition of e
But in analysis contexts we typically can't cleanly define e or ln so its usually off limits
Bernoulli's does the same thing effectively, but that's hard to know a priori
odd edgeBOT
@summer nest Has your question been resolved?
summer nest
Is there anyway to do that without e?
noble ether
Reasoning is one way
safe vapor
You can use bernoullis inequality
summer nest
Haven't learned that
I think I'm best off finishing the book and coming back to it. Thanks all for your help!
.close
odd edgeBOT
odd edgeBOT
Available help channel!
last junco
I have the line -x + 4*y - z + 5 = 0, how do i find each of the variables cutting with their axes?
graceful viper
for example, the x intercept occurs when y=0 and z=0
u can do this with other intercepts too
wooden python
I have the line -x + 4*y - z + 5 = 0, how do i find each of the variables cuttin...
that looks like a plane not a line
!xy
odd edgeBOT
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.
last junco
that looks like a plane not a line
yeah thats what i mean, i didnt know the english word
odd edgeBOT
odd edgeBOT
Available help channel!
wide pollen
odd edgeBOT
wide pollen
i was needed to prove that the integral on the red brackets diverges
so i did the inequalities as shown but with the integral, but now im thinking that doing those inequalities without the integral is even better
then just show that the last inequality works so it diverges
whats your opinion?
modern sundial
I'm not sure what you are asking exactly, but it might help if you just review the statement of the integral comparison test
wanton bison
whats your opinion?
I think your work is fine
odd edgeBOT
@wide pollen Has your question been resolved?
celest zenith
I'm doing factorising by grouping and this is homework so it's okay for me to have the answer. I was wondering where I went wrong with my working out because I'm super confused on how to factorise this
glossy basin
celest zenith
thanks, i was pretty unconfident with my working out on those lines because I just didn't know what to do. I'm not sure how to do it either way
i'm not sure what to do bc my notes and previous questions had an obvious hcf like these:
celest zenith
do i still keep the brackets seperate?
glossy basin
do i still keep the brackets seperate?
yes
you need something common in each term to take some factor out
celest zenith
ok
whats wrong with my second line because i feel like i tried to take out the hcf
waxen talon
your second line is not wrong technically
but you need to find something common as shubh said
celest zenith
but you need to find something common as shubh said
in the second line?
waxen talon
in the second line?
in the first line
celest zenith
oh
celest zenith
it's homework i don't think it's cheating
waxen talon
but still
knowing one factor
and factor out the other based on that known factor is an important skill
let me try to give you an example
$x^2 + 3x + 2$
clever fjordBOT
1 divided by 0 equals Infinity
clever fjordBOT
1 divided by 0 equals Infinity
waxen talon
if $x^2 + 3x + 2 = 0$
celest zenith
yea
clever fjordBOT
1 divided by 0 equals Infinity
waxen talon
you would find $x = -2$ and $x = 1$
oh that's -1 im sorry
so you would find yourself to have a factor of $x + 2$ and $x + 1$
clever fjordBOT
1 divided by 0 equals Infinity
waxen talon
so based on the factor $x + 2$ for example
clever fjordBOT
1 divided by 0 equals Infinity
waxen talon
you can split the $3x$ into $2x$ and $x$
clever fjordBOT
1 divided by 0 equals Infinity
waxen talon
because $x^2 + 2x$ gives you $x(x + 2)$
clever fjordBOT
1 divided by 0 equals Infinity
waxen talon
I'm doing factorising by grouping and this is homework so it's okay for me to ha...
so since you know there's a $x - 4$ factor, why don't you try to group something to make $x - 4$?
clever fjordBOT
1 divided by 0 equals Infinity
odd edgeBOT
odd edgeBOT
Available help channel!
lofty kernel
hi can i get more explantion about the question
odd edgeBOT
hi can i get more explantion about the question
woeful briar
Weird question
south plume
no
woeful briar
Oh yeah its x on the left mb
south plume
yup i also got fooled by that lol
woeful briar
Well that integral is bounded above by the integral of 1/2sqrt(x)
south plume
hi can i get more explantion about the question
use the inequality
it simplifies quite nicely
woeful briar
it simplifies quite nicely
Yes
woeful briar
Yeah
lofty kernel
can i get another hint i dont see how would i procced
woeful briar
Calculate that integral
woeful briar
hi can i get more explantion about the question
Hmm... actually it might be better to compare derivatives of both sides of the equation
woeful briar
Hmm... actually it might be better to compare derivatives of both sides of the e...
Try this yeah
lofty kernel
Hmm... actually it might be better to compare derivatives of both sides of the e...
i dont understand what u mean
i calc the integral and got x^3/3
woeful briar
i calc the integral and got x^3/3
well that is wrong.... it should be x which is a too rough of an inequlity
lofty kernel
woeful briar
i dont understand what u mean
intuitvly the reason there won't be any solution other than 0 is that the left side grows faster then the right hand side
lofty kernel
thats what i did
woeful briar
1/(2sqrt(x)) = 1/2 * x^(-1/2)
woeful briar
intuitvly the reason there won't be any solution other than 0 is that the left s...
so if the derivative of the left is always greater then the derivative of the right then there cannot be any other solutions
lofty kernel
woeful briar
so if the derivative of the left is always greater then the derivative of the ri...
do you know this fact from your class? do you need to write a formal proof?
woeful briar
to show this fact you can use rolle's theorem (if for a differntiable function satisfies f(a)=f(b) then there is some point a < c < b where f'(c)=0)
but anyway... assuming this fact, what you want to do is differntiate both sides and look at which derivative is bigger
woeful briar
I can't think of an easier way
woeful briar
but anyway... assuming this fact, what you want to do is differntiate both sides...
I would start with this
frail phoenix
odd edgeBOT
frail phoenix
How the do I prove this?
wooden python
consider that this could also be written $a^2 \neq 4b+3$
clever fjordBOT
Ann
wooden python
which in turn translates to $a^2 \not\equiv 3 \pmod{4}$...
clever fjordBOT
Ann
frail phoenix
consider that this could also be written $a^2 \neq 4b+3$
Wait would this mean a is odd
wooden python
Do I root?
rooting is unhelpful
a^2 = 4b+3 does imply a is odd, and you can go that way if you want, but it's going to be a bit long and unenlightening
do you know modular arithmetic at all?
frail phoenix
do you know modular arithmetic at all?
Nope, just know a little A level math
wooden python
right ok
then sure put a=2k+1
ig it will be cleaner to work with the equation a^2 = 4b+3 having started with an "assume towards a contradiction that such a and b do exist"\
frail phoenix
ig it will be cleaner to work with the equation a^2 = 4b+3 having started with a...
So do I just plug that value of A into the the equation and show a quadratic dont give 0
frail phoenix
wooden python
right here is where you could have stopped, really.
on the left you have something that's always a multiple of 4.
on the right, something that decidedly isn't.
odd edgeBOT
odd edgeBOT
✅
frail phoenix
i'm not a man, sorry.
Oh mb
wooden python
can you edit that word out please
odd edgeBOT
wooden python
ok thank you
odd edgeBOT
Available help channel!
reef sinew
How do I start this? Calc 1 no calculator.
odd edgeBOT
How do I start this? Calc 1 no calculator.
wooden python
,rccw
clever fjordBOT
wooden python
c) ?
wooden python
sounds like they might expect you to make a to-scale graph with the points provided and then trace a smoothish curve through those and measure the slope of the tangent to that...
i dont see anything else
odd edgeBOT
odd edgeBOT
Available help channel!
slow cradle
odd edgeBOT
odd edgeBOT
worthy ravine
can you edit that word out please
wtf 😭 it aint that deep lil bro
odd edgeBOT
Available help channel!
solar edge
odd edgeBOT
solar edge
i can't figure out how to do ii on part c
strange aspen
i can't figure out how to do ii on part c
do angle difference in reverse after you find sin(y) and cos(x)
this should be the way ( didn't try the question)
solar edge
i found these
sinx = 2/sqrt(5)
cosx = 1/sqrt(5)
tanx = 2
cosy = 3/sqrt(10)
siny = 1/sqrt(10)
tany = 1/3
do angle difference in reverse
idk what u mean by this
strange aspen
you know how to do sin(x-y) and cos(x-y) in general yeah ?
solar edge
yh
solar edge
and just see if i can do the arcsin or arccos of that without a calc?
strange aspen
and just see if i can do the arcsin or arccos of that without a calc?
if it shows an easy angle (in our case pi/4) then basically yeah
it should give sqrt(2)/2 or 1/sqrt(2) in one way or another
odd edgeBOT
odd edgeBOT
Available help channel!
simple oar
what does rotation about a unit vector or any vector mean?
bitter lagoon
what does rotation about a unit vector or any vector mean?
Rotation means ur shifting the entire plane along that much of a degree
And keeping the base same
zinc glacier
rotation about a vector just tells you the axis of rotation and the direction for right hand rule
simple oar
but like what does 90 degrees about a unit vector mean?
like if i were to rotate 1,0,0 90 degrees id get 0,1,0
amber veldt
example
Earth is being rotated about its rotation axis
which is not orthogonal to the plane through the equator
simple oar
yeah
amber veldt
for a unit vector, it would be poiunted along the rotation axis, but have norm 1
for rotating a single point
just pick your address on the globe
simple oar
so if i rotate a 2d vec 0 degrees with relation to another vector
they line up with each other?
amber veldt
in R2, the "axis of rotation" becomes a point
which is the origin usually
but any rotation 0 degrees should do nothing at all to the vector no matter how you define it, right
has to be
for it to make sense
simple oar
so example if i had this
with relation if i wanted to rotate it 10 degrees i would need to move green vector 10 degrees closer to the blue vector?
amber veldt
it's annoying because such a rotation would not be linear so i dont want to do it
best to create a coordinate system where the point of rotation is the origin
by a change of coordinates
but the answer is no
rotation rotates
it's not a linear movement
unless it's about the origin
simple oar
yeah it rotates so the angle becomes 10 deg smaller but the vector keeps the same magnitude
wont be a linear movement
amber veldt
dont know what you mean by 10 deg smaller
simple oar
so i want to rotate 1,0 10 degrees with respect to that 0.7, 0.7 vector
if the angle between them is theta. Would rotation not just make that angle theta -10 ?
amber veldt
this would be rotating it about the vector
do you realize that's what it does or did you have somethign else in mind
because i think maybe you had something else in mind
simple oar
woah yeah im delusional
amber veldt
woah yeah im delusional
wouldnt go that far, I knew what your mistake was because it's an understandable mistake
simple oar
okay so basically rotating around the vector
is as if the end of that vector is the "new origin"
amber veldt
is not a linear map
unloess you make it the origin
of course it's approximately linear for a small range of theta
like if you wanted a rotation matrix for theta in (-9.9, 10.1)
it would be approximately linear
simple oar
so we want somthing like this then we can sweep the vector theta degrees so if i wanted 90
i would have 0,1 still
?
amber veldt
not sure what you mean sorry, if youre in R2 why do you have 3 coordinates
what is (0,1,0)
simple oar
mb
amber veldt
i'm saying simply this
let's say you want to rotate a vector around the point (x,y)=(2,-3)
im saying do a change of coordinates (u,v)=(x-2,y+3)
simple oar
okay wait lemme try
amber veldt
actually its tricky
because if the determinant of the transformation you make isn't one
the rotation won't be the same magnitude in the (u,v) plane
hmm
so you'd need to choose the right denominators
to make the map have determinant 1
i forgot the details sorry
simple oar
😭
whats strange to me is i've touched determinants in other courses but not this one.
I think he wants more of an intuitive way of rotation
amber veldt
if you're rotating a bout the origin everything is easier
are you sure thats not what youre doing
because if so, if you call the rotation map on vectors r, then the matrix you want is just [r(e1) r(e2)]
like the general method of defining a linear map by what it does to a basis
simple oar
mechanics
so its just vector maths and some physics laws mostly
this is the OG question. I just think theres a more intuitive way of doing this than we have been approaching it
amber veldt
none of these are 2d vectors Nyxzore!
amber veldt
okay i thought it was for linear algebra so i was using linear algebra notation
my bad
simple oar
np
amber veldt
anyway im goiong to have food now, so someone will have to take over
odd edgeBOT
wanton bison
Subtract the white triangle from the great one
faint stump
How do I find the area of the white one
glass vault
does it say anything about the white triangles height
faint stump
No
glass vault
id assume white triangle is half the height of the black triangle
faint stump
Ok
glass vault
because otherwise its ambiguous and has no answer
ripe elbow
restive fern
No because you have no other angle and you are missing 2 sides
faint stump
.close
quasi sparrow
.close
it'll close eventually. you can just open a new channel with your new question
faint stump
Wait I need help on a question
faint stump
it'll close eventually. you can just open a new channel with your new question
can u help me with this
@quasi sparrow
brazen hare
id assume white triangle is half the height of the black triangle
i think it's 4
since there's that 'equal side' marker on the vertical height of it
quasi sparrow
https://cdn.discordapp.com/attachments/1366143099297992706/1412482503406649444/i...
read the message
odd edgeBOT
Available help channel!
sleek talon
I am trying to get several answer regarding probabilities. The problem stems from a game. The game involves random pets spawning. I have calculated the base probability of each pet. In total 675 pets come out every hour. Of those 675 pets, i have caculated that two base probabilities. 1 for the rarity of the pet and 1 for the type of pet:
From that information I am able to determine the probability rates in this attached picture.
The problems i need solved:
-
Id like to know if the estimated drop rates and wait times are correct for the suggested probability. I am using AI to do these calculations and i keep getting different answers.
-
I would also like to know the probability and wait times for a "special event" that occurs 15 minutes past every hour.
During this special event, only two types of pets spawn. They alternate between normal and fire.
Is it as simple as halving the base probability? or is it more complicated? I have again used AI to do these calculations and the wait times for fire event seem way off to me.
odd edgeBOT
I am trying to get several answer regarding probabilities. The problem stems fro...
@sleek talon Has your question been resolved?
sleek talon
The wait times for the graph posted seem okay at first but are really off once it reaches secret. For example i know that the average wait time for a secret normal pet is no where near 49 mins. A previous table gave me an answer of 6-7hours which sounded way more reasonable.
tidal matrix
you said the special event has "normal and fire," but i don't see a "fire" type. was it something else instead perhaps?
sleek talon
during the first hour only normal, gold, crystal and rainbow spawn. After every hour there is a special event that spawns only normal and fire type. During this time period every pet coming alternates between a fire pet and a normal
This is the first chart i made this morning. The times here appear way more reasonable. The biggest thing i did was drop the probability of secret rarity from 0.025 to 0.020. Along with that change i also rounded off most of the numbers in the base probability.
You can see in this graph a normal secret is listed as 6h26min spawn. But in the graph i posted earlier it now lists it as a 49 min spawn. With a lower probaility how does that make sense?
tidal matrix
- how often do pets spawn normally?
- is the normal spawn also running on top of the special event?
- how often are spawns during the special event? how long is the special event?
- what's the percentage of pets that are fire type?
this would all factor into finding the wait time, specifically
sleek talon
- 675 pets per hour.
- yes? Only normal type and fire type run during the event. All rarities from common to secret.
- Spawn time between pets in the event is the same as during normal conditions (around 5 secs per spawn). The event lasts 15 minutes.
- 50/50. They come out 1 fire 1 normal during the fire event.
tidal matrix
ohh ok, sorry i thought you said 675 pets in the game - thats on me ;-;
i am unfortunately not fully sure on this. it might help to show what formulas your table uses. my instincts also tell me that this could be modelled by a poisson distribution, but i could be wrong
sleek talon
Can we start over... AI is all over the place. How would i calculate the estimated probability of each pet type and rarity using the following probabilites?
odd edgeBOT
@sleek talon Has your question been resolved?
odd edgeBOT
odd edgeBOT
Available help channel!
umbral epoch
for b
faint knot
should be
faint knot
your equations for (b) already do this
(d) wants a version of (b) where t=0 results in P and t=1 results in Q
since (b) already does this, you can copy-paste those for (d)
umbral epoch
🗿
okay so its the exact same as b?
oh yay it is
thank you
:3
idk why i did that cat face
sorry
.close
odd edgeBOT
rough birch
don’t apologize
odd edgeBOT
✅
umbral epoch
for this
is P = (-1,0,2) and the direction vector <1,1,0> ?
idk what that means
like p comes from the parametrics
odd edgeBOT
short terrace
That's a weird statement
RHS is a set, it's agnostic of x
What you're saying is, if 0 ≤ x ≤ 1 it's contained in the LHS, so you only need to worry about x > 1
wooden python
"Let x ∈ RHS. If x ≤ 1, we win. Otherwise, with x > 1, consider x=1+z and look at 1/z ..."
short terrace
Phrase it precisely
Yes but you should be making your statements properly
Even if people can vibe out what you mean, they shouldn't have to
warped glacier
well yeah so it would help to write $B_n = [0, 1] \cup [1, 1 + \frac{1}{n})$, so it is clear that $[0, 1]$ is a subset of $A$
wooden python
well yeah so it would help to write $B_n = [0, 1] \cup [1, 1 + \frac{1}{n})$, so...
you mean \cup
clever fjordBOT
mq in his algebra/stats arc
low locust
you should state z < 1 somewhere. its obvious from context but needed
short terrace
That's what I've been getting at yes
clever fjordBOT
mq in his algebra/stats arc
low locust
well it certainly helps with reading the proof
btw, surely you should already be allowed to claim that for any positive z there is n with 1/n < z ?
yeah on second thought its not needed
it was just in the back of my mind cause thats usually a thing that can fuck up proofs
if you forget about cases like this
<1 vs > 1 can often make a difference
short terrace
Yup
The argument is correct, we were all just trying to make it precise
One of the attempts was unnecessary apparently lol
clever fjordBOT
mq in his algebra/stats arc
low locust
x in RHS < 1
well...
short terrace
(you can use \ge)
clever fjordBOT
mq in his algebra/stats arc
odd edgeBOT
@thin dagger Has your question been resolved?
warped glacier
you're missing the existential qualifiers
so, $\forall x \in A, \exists n \in \mathbb N: x > \frac{1}{n}$
clever fjordBOT
south
warped glacier
**south**
since $x > 0$, the Archimedean property says that there always exists $n \in \mathbb N$ such that $nx > y$, and then you just choose $y = 1$
clever fjordBOT
south
warped glacier
so then you can rearrange that to x > 1/n
since n can't be 0
oh well this goes back to whether N includes 0 and that book assumed that it doesn't, anyways
odd edgeBOT
odd edgeBOT
Available help channel!
iron stump
odd edgeBOT
wooden python
!status
odd edgeBOT
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
show what you got thus far.
iron stump
- I cant find my calculator 😂
iron stump
ok
nvm I think i got it, but can I keep this channel for now? Because im going to need help on some future problems
wooden python
nvm I think i got it, but can I keep this channel for now? Because im going to n...
better to open a new channel for new quetsions
questions*
unless they're like very closely related
wooden python
you can .close it yourself
odd edgeBOT
odd edgeBOT
Available help channel!
vale gale
I need help in this
odd edgeBOT
I need help in this
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
2
odd edgeBOT
Show your work, and if possible, explain where you are stuck.
orchid torrent
(you should do this in general when asking for help - it saves everyone's time)
vale gale
I mean 1
orchid torrent
Note that we're going from a product of two numbers to a singular number
So what's a natural thing for us to do
vale gale
We multiply everything In bracket
vale gale
35-2sqrt 4
The 8 becomes-2sqrt2
So we multiply this by the integers in other bracket
@orchid torrent
orchid torrent
$(a+b)(c+d) \neq ac+bd$
clever fjordBOT
Civil Service Pigeon
orchid torrent
If it helps, think of it as $$(5-\sqrt{8})(7+\sqrt{2})=5(7+\sqrt{2})-\sqrt{8}(7+\sqrt{2})$$
clever fjordBOT
Civil Service Pigeon
orchid torrent
then use distributive property twice
vale gale
$$(35-\sqrt{16})
orchid torrent
**Civil Service Pigeon**
.
vale gale
35-sqrt 16
orchid torrent
you're not doing $(5)(7)-(\sqrt 8)(\sqrt 2)$
clever fjordBOT
Civil Service Pigeon
orchid torrent
read what I said above
orchid torrent
**Civil Service Pigeon**
.
clever fjordBOT
oak crown
Gah
vale gale
Y so mean
oak crown
.w (5-sqrt(8))(7+sqrt(2))
wooden python
you're missing two of four terms in the expansion
$(5 - \sqrt{8})(7 + \sqrt{2})$ is \textbf{not} equal to $5 \times 7 - \sqrt{8} \times \sqrt{2}$.
clever fjordBOT
Ann
wooden python
capisce?
wooden python
ok, let's forget the roots for just a minute
vale gale
Ok
wooden python
do the words "distributive law" sound familiar to you?
wooden python
ah, see, that's the issue then.
but also this is sth you should definitely know by year 10.
it's like year 6 or thereabouts.
wooden python
aight lemme find you a video to get you started
vale gale
That guy who swore
wooden python
wooden python
That guy who swore
cursing like "fuck" is not against the rules here, by the way.
just so you know.
anyway, look up things like:
- distributive law
- distributive property
- expanding brackets/parentheses
- FOIL [maybe]
on khanacademy and the like
cause that's a gap you'll have to close, not only for this question but for definitely many others to come.
vale gale
But we didn't learn foil method
wooden python
you should have learned how to expand brackets like (a+b)(c+d) some time before year 10.
this i can tell you with near certainty.
no matter how it's called in your country.
"FOIL" is an Americanism.
but i give it because a lot of english-language math resources are American and you might stumble into these when searching on google.
vale gale
And sorry utterly I reported u to the police and discord and I am not in year 10 I am an fbi agent and suing all this thing and you and your friend
wooden python
<@&268886789983436800> we've got either a jokester or a legal threat.
im washing my hands of this and letting y'all figure out what to do here.
blazing shuttle
nice troll. take 2 days off
wooden python
.close ?
nimble blaze
.close
neon horizon
odd edgeBOT
solar peak
.
neon horizon
AHH OK
neon horizon
but can you say to me some tips to be better in math
nimble blaze
there's #study-discussion
generally its practice
(and stop looking up math memes)
neon horizon
i created it my self
vernal yacht
but can you say to me some tips to be better in math
ye, probably #math-discussion is the right place
nimble blaze
even worse
neon horizon
can anyone send good vid to learn more about math
vernal yacht
can anyone send good vid to learn more about math
check out organic chemistry tutor
there are some good stuff in his channel
signal yacht
3b1b?
neon horizon
where
vernal yacht
YouTube ofc :))
neon horizon
th
odd edgeBOT
Available help channel!
jolly mica
Need help finding the best method to find AD
odd edgeBOT
Need help finding the best method to find **AD**
faint knot
do you already have a method to find AD?
jolly mica
well id do either Sine or Cosine
but i feel like im missing a piece
and cant figure it out for some reason
faint knot
keep in mind you can find angle DBC and angle ABD
with just regular angles instead of any trig
faint knot
whats angle ABD?
faint knot
thats correct
jolly mica
okay good
faint knot
now you only need trig to solve this
jolly mica
its not a right angle is it?
faint knot
98 is not a right angle
jolly mica
no proof of it
faint knot
is there a particular other side youll need beforehand?
faint knot
yes
faint knot
np
jolly mica
dont know why that took me so long
faint knot
dw
faint knot
btw, its not a right angle
oh wait I wrote the digit wrong
its possible that its a right triangle
youll just need to check that the 8 and 6 line up
then again youll need trig to check that, so its not worth the extra work
in general, if the numbers are all integers, then it never lines up
only exception is an equilateral triangle
jolly mica
btw, its not a right angle
ah lol
faint knot
what did you find BD as?
jolly mica
lets go
gotta impress my teacher
sorry how do i do this
how am i 16 and still struggling with this man
vivid wyvern
cosine rule
vivid wyvern
cosz=(xz²+yz²-xy²)/2(xz)(yz)
jolly mica
ohh okay
vivid wyvern
I termed it according to ur maths
jolly mica
any easy way to do this?
or is it literally trial and error
and see which one is the smallest
vivid wyvern
In a triangle the angle opposite to the smallest side is the smallest angle
vivid wyvern
Np
vivid wyvern
Yes
odd edgeBOT
@jolly mica Has your question been resolved?
brazen hare
Let the point of the port be P. Angle NPA is 80, and angle NPB is 152. Angle APB is 152 - 80 = 72.
First, work out the distances PA and PB using your distance-time-speed formula
jolly mica
60 and 75 km right?
jolly mica
yeah cool got that
mystic saffron
Hello, quick one, I am trying to understand Borsuk's conjecture (out of curiosity I'm just a year 12 student (uk) and i have limited 'ball knowledge' per se) and I'm wondering what exactly the definition of 'diameter' is in regard to non circular shapes. See image for example from the Wikipedia page. (https://en.wikipedia.org/wiki/Borsuk's_conjecture)
orchid torrent
Hello, quick one, I am trying to understand Borsuk's conjecture (out of curiosit...
mystic saffron
Google it: https://math.stackexchange.com/questions/173418/what-does-diameter-me...
Thank you! this is exactly what i needed, i clearly didnt search the right thing
.close
odd edgeBOT
odd edgeBOT
Available help channel!
tall shuttle
hello, I'm trying to find the distance between points and i dont know where im getting stuck, but its still being marked wrong, the points are (6,-5) (-7,8), im getting 18.38 with this formula
quasi sparrow
why is it -5 instead of 5
quasi sparrow
show the entire question
clever fjordBOT
riemann
tall shuttle
hmm how do you mean?
quasi sparrow
your answer has minus signs, squaring
tall shuttle
i did try putting 18.38 and it said wrong, round to whole number
quasi sparrow
simplify all the numbers
quasi sparrow
try entering exact number without any operations
notice how i said exact
18.38 is rounded
tall shuttle
ah so 18.38477631
clever fjordBOT
riemann
tall shuttle
no i dont
quasi sparrow
2 + 3 = 5, so sqrt(2 + 3) = sqrt(5)
tall shuttle
oh ok
quasi sparrow
notice the expression on the right side doesn't have any operations, but the left side does
quasi sparrow
yea so $\sqrt{338}$ is what you should enter
clever fjordBOT
riemann
tall shuttle
ok i will see
quasi sparrow
,calc 2 * 13^2
clever fjordBOT
Result:
338
hmm its still wrong on here
quasi sparrow
show
tall shuttle
my mistake it is correct, its a very slow websight
please tell me why its that instead of 18.38?
quasi sparrow
18.38 is not equal to sqrt(338)
tall shuttle
is that not a more simplifed answer
tall shuttle
oh because its infinite
clever fjordBOT
Result:
337.8244
337.8244 is not equal to 338, but it is close
sqrt(338) has infinite decimal expansion yes because 338 is not a perfect square
,calc sqrt(2)
clever fjordBOT
Result:
1.4142135623731
Result:
1.99996164
Could you check my math on the second part aswell?
tall shuttle
Why is my midpoint so far off?
quasi sparrow
well 6 + (-7) = -1
so when you divide by 2 you should not get 2.5
get in the habit of simplifying before using a calculator
or learn to use a calculator better
tall shuttle
ok
quasi sparrow
,calc 6 + -7/2
clever fjordBOT
Result:
2.5
,calc (6 + -7)/2
clever fjordBOT
Result:
-0.5
this has parentheses which you need since both 6 and -7 are being divided by 2
fossil vapor
What are MUST KNOW topics for algebra 2
odd edgeBOT
What are MUST KNOW topics for algebra 2
fossil vapor
Js tryna gather up information before diving deeper into studying algebra 2
Is that a bad question to ask
wanton bison
What are MUST KNOW topics for algebra 2
prob algebra 1
languid horizon
May i just ask what exactly do you consider as algebra 1. As i feel like terminology is a little different based on location
fossil vapor
Graphing, functions, and just simplifying algebraic equations
languid horizon
Ok ok (because i normally hear Algebra only in context of abstract Algebra)
fossil vapor
Ok ok (because i normally hear Algebra only in context of abstract Algebra)
Yea
Alg 2 is just a deeper understanding of algebra
unkempt lichen
i suppose trigonometric/circular, logarithmic and exponential functions have been covered in alg1? if not, get ready for them in alg2 i suppose
fossil vapor
i suppose trigonometric/circular, logarithmic and exponential functions have bee...
Alright
Im learning quad equations cus i didnt get into thay
unkempt lichen
that too
languid horizon
I mean what i did. And what made me far ahead of other people is i watched some yt videos (like The Organic Chemistry Tutor) , just out of fun. And used something like photomath to solve stuff i didnt know.
And i mostly solved some competitive math problems. Which made basically all the problems we did in school trivial for me
fossil vapor
Yea i gotta start watching that guy
Js do math in ur free time
Quad formulas are kinda easy. Just very tedious in the simplifying
languid horizon
Ive rarely needed to use the quadratic formula
Like most quadratics can be solved by just factoring
fossil vapor
Yea i’ve seen
languid horizon
I mean ofc there will be problems that will make that basically impossible
pallid silo
i like completing the square and grouping
unkempt lichen
quad formula is one size fits all, but if there comes a time where your discrim is negative, then yeah
fossil vapor
i like completing the square and grouping
Yea the simplification outside the roots always trick me
It takes up so much space
languid horizon
Im guessing you know of the method like if you have
$$x^2 + ax + b$$ you find $2$ numbers such that $k + l = a$ and $kl = b$ then $$x^2 + ax + b = (x + k)(x + l)$$
clever fjordBOT
casework
pallid silo
It takes up so much space
i do the box methods
fossil vapor
Im guessing you know of the method like if you have
$$x^2 + ax + b$$ you find $2...
I have a test coming up that i have to use the quad formula
fossil vapor
i do the box methods
What that
indigo dirge
What that
dw about it, but its a method where you draw a 2x2 box and on the outside you put one binomial on the top side and one on the left
you dont need to know it at all though
just use what @languid horizon mentioned
languid horizon
I have a test coming up that i have to use the quad formula
I dont remember ever having to need to use something in a test. But i get they do that in some places
fossil vapor
I dont remember ever having to *need* to use something in a test. But i get they...
In my school 😔
“Use the quadratic formula to solve all equations”
indigo dirge
“Use the quadratic formula to solve all equations”
in my school, they used to say "do not use quad formula" 
but ig it makes it easier and more brainless
just plug in a,b,c
pallid silo
“Use the quadratic formula to solve all equations”
do they at least give you the formula or smth or do you have to memorize it
fossil vapor
do they at least give you the formula or smth or do you have to memorize it
Memorize. I have it memorized already tho
School js started a week ago for me too
pallid silo
ahhh i see if you have it memorized you should be chilling just do some practice problems get enough sleep and don’t spike your cortisol over it
languid horizon
Memorize. I have it memorized already tho
I found it was easier to derive it. Then i didnt need to memorise it
fossil vapor
I mean its easy to remember when u done enough problems
languid horizon
Yeah but knowing how to derive it just gives you context why everything is how it is
indigo dirge
I found it was easier to derive it. Then i didnt need to memorise it
-# and then there's me, who derived it once and then forgot it all 
languid horizon
Like why is there $2a$ in the denominator. Why is $b^2 - 4ac$ in the square root. Why is there a $\pm$ why is it a $-b$ and not $b$ etc...
fossil vapor
Yeah but knowing how to derive it just gives you context why everything is how i...
Isnt deriving knowing how the formula is formed
clever fjordBOT
casework
languid horizon
I mean by deriving i mean proving it
languid horizon
Aka going from
$$ax^2 + bx + c = 0$$
to
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
clever fjordBOT
casework
fossil vapor
Ohh alright
languid horizon
The proof isnt that long. You can try it for yourself. ||I mean a hint would be to complete the square then take the square root||
fossil vapor
So kinda prove the formula
languid horizon
Yea. Its just some basic algebraic manipulations
fossil vapor
Ah ok
U must be very interested in math
Math is fun once u get into the hang of what you’re learning
languid horizon
Yea i mean i found it way easier once i could prove everything i knew.
fossil vapor
W got all my practice problems right
shrewd trellis
I’m not sure how to factorise this, but this is what I have done
unkempt lichen
if you did the working right (haven't checked you on this yet), you have a common factor of 16 across all four terms
late dust
f(x) has a (x+3)^2 factor; you should check whether f'(x) has a (x+3) factor
steep mantle
notice that x+3 is a factor
(oh fuck i was lagging and didnt realized yaal have already responed oops)
vernal yacht
(oh fuck i was lagging and didnt realized yaal have already responed oops)
Ye, it’s skissue
odd edgeBOT
@shrewd trellis Has your question been resolved?
shrewd trellis
if you did the working right (haven't checked you on this yet), you have a commo...
How did you figured that out
Is there a shortcut i could put in the calculator which gives me a common factor
across multiple terms
unkempt lichen
nvm i'm drunk, ignore me
i thought x^3 has 18 for some reason and it mushed in my head
but generally speaking, if you know your multiplication, you can spot numerical common factors fairly easily
anyway, focus on the suggestion from the others
shrewd trellis
but generally speaking, if you know your multiplication, you can spot numerical ...
I’m bad with multiplication
I rely on calculator
unkempt lichen
no comment other than to practice, i suppose, if you wanna eyeball common factors
shrewd trellis
f(x) has a (x+3)^2 factor; you should check whether f'(x) has a (x+3) factor
Well we can see that f’(x) does not have a (x+3) factor
late dust
Well we can see that f’(x) does not have a (x+3) factor
Really? How?
late dust
I mean yeah, you won't get a factor if you don't factorize...
nocturne mica
well, they're all even. at least do the numbers first
after that, since you want to check if x+3 is a factor, polynomial divide your way through using your method of choice
odd edgeBOT
@shrewd trellis Has your question been resolved?
nocturne mica
to reduce the cubic to a quadratic
late dust
You did, I only looked at your second picture there
late dust
If you're looking for the zeroes of that function, of course you want to factorize it
And all you have to do is factorize a quadratic, that's easy
shrewd trellis
Yeah easy stuff
late dust
Can't tell if that was sarcasm
languid orbit
hey whats the conclusion im supposed to reach here
odd edgeBOT
hey whats the conclusion im supposed to reach here
languid orbit
its kind of a vague problem
or should i post this elsewhere
actually ill post this elsewhere nevermind
.close
odd edgeBOT
odd edgeBOT
Available help channel!
graceful shore
Hii
nocturne mica
what are you stuck on?
odd edgeBOT
@graceful shore Has your question been resolved?
graceful shore
the first
the last one seems like I solved it
but the first and second I've got no idea hpw
nocturne mica
so have you learnt about set complements?
nocturne mica
have you learnt of the effects of set complements on set inclusion?
graceful shore
I don't have any example with the solved exercise.
I don't think so
at should I doM
?
nocturne mica
if A is a proper subset of B, and we take the complements of both A and B, what do you think the relationship between A^c and B^c is?
(^c = complement)
graceful shore
We take the complementare of both A and B, then it's the opposite of A and B
nocturne mica
i mean yes, but what about the relationship between the two complements themselves?
nocturne mica
a visual example
nocturne mica
the relationship between the complement of B and the complement of A
graceful shore
The complement the B is the rectangle, and the complement of A is B and the rest, right?
nocturne mica
yeah. and the relationship will become?
graceful shore
Hmm
nocturne mica
if you can't think of it that way, consider which one is bigger - the complement of B, or the complement of A?
graceful shore
Complement A
nocturne mica
ofc it's A^c, right? because A^c contains B as well as the rest of U
graceful shore
Right
nocturne mica
but B^c itself also contains the rest of U, but not B
graceful shore
A
nocturne mica
so B^c is (larger/smaller) than A^c?
nocturne mica
how can B^c be larger than A^c if A^c has B while B^c doesn't?
nocturne mica
there we go
and another way to say smaller is "proper subset"
so that means, if A is a proper subset of B, the complement of B is a proper subset of the complement of A
agreed?
graceful shore
Yep
graceful shore
Yes
nocturne mica
when we write C \ A, what are we actually saying?
graceful shore
C minus A
graceful shore
yes