do you know how to add $1$ and $\frac{1}{2}$?
#help-10
grand garden
warm shaleBOT
alshfik
stiff saffron
nope
grand garden
hmm
stiff saffron
1.5? 💀
grand garden
good!
stiff saffron
really??
grand garden
yes, 1/2=0.5
warm shaleBOT
by_melody
stiff saffron
?
stiff saffron
ok then it's, 0,66666???
stiff saffron
divide both sides by...?
1,5
grand garden
indeed
warm shaleBOT
alshfik
grand garden
also what book did you get this problem from?
stiff saffron
my teacher
I don't know where he got the book from or whatever, I think he wrote it, but I'm not sure
stiff saffron
5th
grand garden
er, how old are you
stiff saffron
17
the next year I go to sixth grade and the next to that straight to college
or university, however you'd like to call it
grand garden
well, tell your teacher your not familiar with fraction operations, or just look it up online
pretty important skill
stiff saffron
.close
warped flume
heyy
warped flume
i checked my answer and it's the same as the answer key in terms of numerical value
i just can't seem to put the denominator in the form the question wants
high lily
multiply numerator and denom by e^3
to rid yourself of that negative exponent and get that sought after 1
obtuse pebbleBOT
@warped flume Has your question been resolved?
warped flume
multiply numerator and denom by e^3
tysm 😭 😭
slender kindle
Let x^2 -x(m-3) +m=0 (m E r) be a quadratic equation, find the value of m such that the eqn has real and distinct roots
obtuse pebbleBOT
Let x^2 -x(m-3) +m=0 (m E r) be a quadratic equation, find the value of m such t...
slender kindle
ik u jus have to make D>0 and solve further
but my question is; Whats wrong with imposing another condition namely f(-b/2a)<0 (since a>0, the graph is open upwards and its lowest point ie the vertex is below x axis)
and then take the intersection
timid silo
but my question is; Whats wrong with imposing another condition namely f(-b/2a)<...
ig that should work too..
slender kindle
my soln;
a=1, b=3-m, c=m
D>0
(3-m)^2 -4m>0
m E (-infinite,1) U (9, +infinite)
When i impose f(-b/2a)<0;
[(m-3)/2]^2 +(m-3)/2.(3-m) +m<0
We get m<0
and m E (-infinite,0)
slender kindle
ig that should work too..
but its not!
when i take the intersection, m E (-infinite,0)
which is clearly wrong
well why
m E (-infinite,1) U (9, +infinite) => this is the correct ans
timid silo
my soln;
a=1, b=3-m, c=m
D>0
(3-m)^2 -4m>0
m E (-infinite,1) U (9, +infinite)
...
after you have done this as you should get the same D>0 condition
slender kindle
hmm?
timid silo
hmm?
to find f(-b/2a) don't put values of a, b, c use them as variables the solve the equation in the end put their values .. that would simplify it..
slender kindle
to find f(-b/2a) don't put values of a, b, c use them as variables the solve the...
but how does tht even matter? If i put values before or after i shd get the same answer...
ill jus check for mistakes
timid silo
but how does tht even matter? If i put values before or after i shd get the same...
no answer would be same but it would be a bit easy that way ...
slender kindle
alright
timid silo
and you'll get the condition b^2/4a>c
solemn cliff
can somebody help with this?
obtuse pebbleBOT
can somebody help with this?
solemn cliff
a and b ;-;
royal basin
have you done polynomial long division before?
solemn cliff
nope this is my first time
devout sable
part c looks sus <:thonk:406575732563902485>
maybe they mean is, multiply and see if you get same thing or not
solemn cliff
https://www.cuemath.com/algebra/long-division-of-polynomials/
o I see, wot abt b?
nvm im brainded
royal basin
@undone swan open your own channel and ask there.
undone swan
How do you do that?
wooden cipher
Check #❓how-to-get-help for the information
undone swan
There is no 0 under
solemn cliff
There is no 0 under
get any number available
plain stag
This is the 2nd person I've seen take the graphic too literally
stable rain
HAHAAHA
stable rain
!15min
obtuse pebbleBOT
Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.
devout sable
if x,y are ur axis in old graph the let X, Y be ur axis for the transformation. find a relation between x->X and y->Y
spiral blaze
obtuse pebbleBOT
@spiral blaze Has your question been resolved?
obtuse pebbleBOT
@spiral blaze Has your question been resolved?
manic flame
Hello everyone, I'm Fia, learning game theory. Nice to meet you all. I tried to find help and end up to this channel. So, actually I have a problem that maybe anyone interest to help me solve it, tysm in advance 😊
obtuse pebbleBOT
Hello everyone, I'm Fia, learning game theory. Nice to meet you all. I tried to ...
manic flame
obtuse pebbleBOT
@manic flame Has your question been resolved?
timid silo
I need help pls
obtuse pebbleBOT
I need help pls
timid silo
I should show this
manic flame
<@965099567743922196> Has your question been resolved?
Not yet. But that's okay, I'll find other way. Thanks
timid silo
I should show this
<@&286206848099549185>
obtuse pebbleBOT
@timid silo Has your question been resolved?
obtuse pebbleBOT
@timid silo Has your question been resolved?
timid silo
.close
obtuse pebbleBOT
timid silo
.reopen
obtuse pebbleBOT
✅
timid silo
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obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
cobalt sundial
How does gcse and a level grading work in the uk? I know it's not math but I wanted to know and this is probably the best place to ask
obtuse pebbleBOT
How does gcse and a level grading work in the uk? I know it's not math but I wan...
cobalt sundial
I'm in year 9 and I want to know what to aim for
kind hawk
well a global server is probably not the best place to ask. how about your ask your teacher?
obtuse pebbleBOT
cobalt sundial
I'll ask google
devout solar
shoulda tried that first
obtuse pebbleBOT
Available help channel!
west gale
Guys, it's very hard for me to turn word problems into equations. I'm really struggling, what aids can i do to improve?
obtuse pebbleBOT
Guys, it's very hard for me to turn word problems into equations. I'm really str...
dim patio
Guys, it's very hard for me to turn word problems into equations. I'm really str...
For example?
sacred root
Well I had the same problem as well
To fix this I just imagined my self in the question
Like if the question says "Ram goes and buys and apple..." I would just imagine my self going and buying apple
west gale
For example?
If x men take 5 days yo reap a field, how long will one man take?
west gale
Like if the question says "Ram goes and buys and apple..." I would just imagine ...
You finished hs?
sacred root
Hs??
west gale
High school
west gale
I'm in grade 12
west gale
U from india ??
Yeh
sacred root
Jee aspirant ??
dim patio
If x men take 5 days yo reap a field, how long will one man take?
How can this possibly be an equation?
west gale
Not at all
sacred root
Ok so neet?
west gale
Nope
west gale
You prep.. For jee?
sacred root
I'm in 10th gona soon
dim patio
But still struggling with word problems
Determine the given information, the things we need to find and the connection between two of them
unique spear
How do straight lines help me in this question…
obtuse pebbleBOT
How do straight lines help me in this question…
royal basin
draw horizontal lines passing through the corners of this zigzag shape
the ones at which the 280° and x° angles are marked
unique spear
Sorry, but this is an image and I can’t draw physically, but I’m assuming you meant something like this?
royal basin
no that is not what i meant at all
those look like vertical lines not horizontal lines
unique spear
Wrong channel
timid silo
Oops sorry
unique spear
It’s occupied
royal basin
@timid silo please open your own channel
timid silo
Ye
radiant jolt
How do straight lines help me in this question…
cuba lukis garisan memotong sudut yang ada itu, selari dengan dua garisan yang diberikan.
unique spear
cuba lukis garisan memotong sudut yang ada itu, selari dengan dua garisan yang d...
This?
@radiant jolt macam tu?
radiant jolt
bukan....
unique spear
radiant jolt
unique spear
radiant jolt
Haa, macam ni.
unique spear
sekarang nak buat apa?
unique spear
Haa, macam ni.
X = 280?
radiant jolt
Perhatikan sudut dalam garisan yang terbentuk
Mana saja sudut-sudut yang sama besarnya.
unique spear
Mana saja sudut-sudut yang sama besarnya.
Tapi cara saya nak cari sudut-sudut?
radiant jolt
Yang lain
unique spear
x = 34
radiant jolt
Itu belum diketahui besar sudutnya
turbid sail
how would you find the power series representation for this function?
obtuse pebbleBOT
how would you find the power series representation for this function?
haughty coyote
Bring yourself back to the known series of 1/1-x
solar trellis
But there's a cube?
haughty coyote
(1/1-x)^3 = (1+(-x))^(-3), which can be expanded
haughty coyote
(1/1-x)^3 = (1+(-x))^(-3), which can be expanded
Only turn it into a series once you know you won't have anything else to do
solar trellis
(1/1-x)^3 = (1+(-x))^(-3), which can be expanded
? U sure about that
haughty coyote
Forgot a -
turbid sail
where?
haughty coyote
(1/1-x)^3 = (1+(-x))^(-3), which can be expanded
I forgot it here
turbid sail
Oh
haughty coyote
Not you. You did something correct but hardly useful
solar trellis
Nah
haughty coyote
Not at all. That's like saying (a+b)^2 = a^2 + b^2, but generalised
turbid sail
I see
haughty coyote
You forget all the "middle" terms
haughty coyote
(1/1-x)^3 = (1+(-x))^(-3), which can be expanded
This
turbid sail
okay..
I want to know how this guy reached such a conclusion
hold on
No steps are provided….
haughty coyote
In the formula in the middle, for negative exponents, most of the factorial cancels out most of the numerator. Here, what's left is n(n-1) it seems
obtuse pebbleBOT
Available help channel!
lime phoenix
I know very little from mathematics, but I am a programmer for 2 years now, and my logical brain is functioning arguably good.
In my carrier, my plan is to learn Machine Learning from scratch. for that I will need to know Math like a boss.
But I also love mathematics and have a passion for it from the bottom of my heart.
I know that there are a ton of subdivisions of math fields but what do you suggest for me to learn first?
What are the necessary fields that Every mathematician MUST know?
How can I find the my path?
obtuse pebbleBOT
I know very little from mathematics, but I am a programmer for 2 years now, and ...
kind hawk
machine learning is a shitload of linear algebra
lime phoenix
machine learning is a shitload of linear algebra
what else?
kind hawk
multivariable calculus
lofty jay
obtuse pebbleBOT
Available help channel!
latent dove
obtuse pebbleBOT
latent dove
So here when they say count all the affine linear sub spaces, they are just asking us to list all the possible linear subspaces then find the equivalence class of every element in the original vector space with the equivalence relation?
kind hawk
yes
I hope the vector spaces you have are finite
well you don't actually have to list them. you just have to say how many there are
latent dove
I don’t think I quite understand the question tho
So we have to do it for a vector space (F_2)^3 where F_2 is the integers mod 2
This space has 16 subspaces
Now for each one of those subspaces we have to find the equivalence classes and add all the numbers up?
kind hawk
yes
you can do it for each dimension tho
all 1-dimensional subspaces are essentially the same
etc
latent dove
or is it that for every subspace T, we count the number of equivalence classes
kind hawk
for each fixed subspace T, we count the number of equivalence classes
then we sum that up over all T
latent dove
So we have to do it for a vector space (F_2)^3 where F_2 is the integers mod 2
yeah so in this I counted the equivalence classes for a 1 dimensional subspace and there are 4 equivalence classes
kind hawk
good. how many 1-dim subspaces are there
kind hawk
yes. next 2-dim
latent dove
there are 7 2-dim subspaces
are there only 2 affine subspaces per subspace?
so 14 in total
so there are a total of 8 + 28 + 14 + 1 (0-dim + 1-dim + 2-dim + 3-dim) affine subspaces?
kind hawk
sounds correct
olive creek
obtuse pebbleBOT
onyx warren
Can you the fuck not
little warren
.close
obtuse pebbleBOT
olive creek
HELP
little warren
reopen once you respect everyone
until then don't open something to get help if you disrespect others
olive creek
Ok
obtuse pebbleBOT
Available help channel!
fierce helm
hi there. i am confused about the reasoning for the part in the green box
fierce helm
can someone help explain that please?
lethal sand
chain rule basically
fierce helm
i thought if it was implicit differentiation then derivative of v^2 with respect to y would be 2v*dy no?
lethal sand
v is dependent on y, hence the derivative of v^2 wrt y is the derivative of v^2 wrt v times the derivative of v wrt y
lethal sand
i thought if it was implicit differentiation then derivative of v^2 with respect...
no
implicit differentiation is really just another fancy way of saying chain rule in this case, really. But either way, it would still be 2v*dv/dy
obtuse pebbleBOT
fierce helm
.reopen
obtuse pebbleBOT
✅
fierce helm
sorry i had one more followup
wait mb. sorry about that
there was a typo in my notes
.close
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
lusty sandal
(4x^(3) * y + 28x^(2)*y^(2) - 36 * y^(2))/12x^(4)*y^(4)
obtuse pebbleBOT
(4x^(3) * y + 28x^(2)*y^(2) - 36 * y^(2))/12x^(4)*y^(4)
lusty sandal
how do i solve
$ (4x^(3) * y + 28x^(2)y^(2) - 36 y^(2))/12x^(4)*y^(4)
changing channels
.close
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
lean yew
(8/1000)^2/3 = 4/100
obtuse pebbleBOT
(8/1000)^2/3 = 4/100
spiral whale
$\sqrt[3]{\frac{8}{1000}^2}$
warm shaleBOT
AvenirSeducatorul
timid silo
oh I thought it's 8^2/1000
timid silo
yeah
timid silo
nice
obtuse pebbleBOT
@lean yew Has your question been resolved?
spiral whale
$(2.25)^{-\frac{3}{2}}$
warm shaleBOT
AvenirSeducatorul
lean yew
**AvenirSeducatorul**
yeah is 8/27 the result of this?
spiral whale
$\frac{8}{27}$
warm shaleBOT
AvenirSeducatorul
lean yew
yeah is 8/27 the result of this?
<@&286206848099549185>
obtuse pebbleBOT
@lean yew Has your question been resolved?
obtuse pebbleBOT
@lean yew Has your question been resolved?
dusk charm
lean yew
no bro not this
lean yew
and we did it like this
this
lean yew
**AvenirSeducatorul**
.
dusk charm
north egret
If converting m2 to dm2 = x100. is m-2 to dm-2 = x0.01?
obtuse pebbleBOT
If converting `m2` to `dm2` = `x100`. is `m-2` to `dm-2` = `x0.01`?
idle thunder
huh
shell harness
I looked up a few khan academy videos because I am VERY far behind in my understanding of math, but I'm failing to understand how I can combine these two functions to find (f+g)(x) ? do I plug -2 into f(x) to get an output there? (Ignore the identify the graph part, its a two part question im on part 1)
obtuse pebbleBOT
I looked up a few khan academy videos because I am VERY far behind in my underst...
twin sapphire
so the definition of addition for functions is actually simple
if you have f and g two functions
f+g is a new function
such that
for all x, (f+g)(x) = f(x)+g(x)
so here f+g is the function that for x in input gives x²-2 in output
twin sapphire
in some sense yeah
but dont forget that a function isnt an expression in terms of x
shell harness
right, its like an operation that gives an output, I think
twin sapphire
yeah
twin sapphire
so here f+g is the function that for x in input gives x²-2 in output
so to be rigorous you should have something like this in mind
also a function is defined given its input and output domains
its not only how it transforms the input
but also what inputs are allowed
and what are the outputs
here its not given
but we can assume both input and outputs are real numbers
obtuse pebbleBOT
Available help channel!
torn terrace
can i get some help
obtuse pebbleBOT
can i get some help
torn terrace
I have a GED test coming up and Im practicing for it. I am not good at math at all, and I would just like to know how to solve 512x243 on paper
like, step by step
maybe someone could demonstrate it using paint.net?
rigid lintel
a youtube video would probably help you more
torn terrace
Well do you at least know how I would solve this step by step? @rigid lintel
torn terrace
bring the exponent inside the brackets and group 3 and 2
i dont understand
rigid lintel
magic night
Hi there, I need help with question B, I'm just not sure what they ask of me to do
obtuse pebbleBOT
Hi there, I need help with question B, I'm just not sure what they ask of me to ...
magic night
do i assume they want me to rewrite the question as:
y = -f(1/4(x+1)^2)+2
and then graph it?
magic night
-((1/4(x+1))^2) + 2
okay thank you
obtuse pebbleBOT
Available help channel!
hushed tapir
Hi
hushed tapir
Okay so
3$ per 1k views capped at 850k (YouTube form) how much is that
And how do I solve it
rigid lintel
3 * 850
peak shuttle
yeah, 850000/1000 * 3
peak shuttle
*0.01
hushed tapir
?
peak shuttle
what's the decimal equivalent of 1%
peak shuttle
1% = 0.01
hushed tapir
How do I solve it
peak shuttle
so multiply a value by 0.01 would give you the 1% of that value
hushed tapir
😭?
peak shuttle
what do you not understand
hushed tapir
How do I solve with a calculator
peak shuttle
you multiply the value by 0.01 to get 1% of that value
peak shuttle
do you know 1% of 1
peak shuttle
what is 1% of 1
hushed tapir
0.1
hushed tapir
Yes
hushed tapir
Idk
peak shuttle
so you have 2550 dollars
multiply it by 1/100
2550 * 1/100
what do you get
at 1%
hushed tapir
so you have 2550 dollars
ITS 25
obtuse pebbleBOT
@hushed tapir Has your question been resolved?
gloomy plover
You have $3 per every 1k views, and you can have a max of 850k. 3*850=$2550
hushed tapir
You have $3 per every 1k views, and you can have a max of 850k. 3*850=$2550
1% is $25?
Doesn’t seem correct
gloomy plover
1% of what?
hushed tapir
$2550
hushed tapir
1% of what?
100
gloomy plover
1%=0.01, $2500*0.01=$25. Multiplying by 1% is the same as dividing by 100.
hushed tapir
Ok thanks
hushed tapir
.close
agile robin
obtuse pebbleBOT
agile robin
This bothers me
Du is -sinx we don’t have that so I multiply by negative -1 inside and outside so essentially I’m not changing anything and am able to put in du
Answer is -ln tho
What am I doing wrong
twin sapphire
why do you have 2 minus signs on your third line?
you justified one but not the other
agile robin
Wdym I said I multiply - inside and outside so essentially I’m multi plying by 1
On third line
twin sapphire
okay but take it slowly
take line 2
multiply by (-1)(-1)
identify dv = -sin(x)dx
and replace
soft marten
would i be able to ask a question here?
agile robin
.close
obtuse pebbleBOT
agile robin
would i be able to ask a question here?
Ye
neat trellis
Hello, where can I find material on thermodynamics, it's just that I'm having a hard time understanding it
obtuse pebbleBOT
Available help channel!
bold nest
Am I supposed to try to show that this is cauchy in b?
obtuse pebbleBOT
Am I supposed to try to show that this is cauchy in b?
@bold nest Has your question been resolved?
woven creek
obtuse pebbleBOT
woven creek
please helping me
hardy widget
,w derivative of tan x
warm shaleBOT
hardy widget
@woven creek idk if you remembered the derivative incorrectly in part (a) but here
woven creek
my a is eight but b and c is wrong\
hardy widget
wait nvm I can't read lol
I saw a negative
ok lemme check part b
yeah the first part is wrong, idk if you thought $\sec 0=0$ or smthn
warm shaleBOT
Civil Service Exam is good
hardy widget
sec 0 = 1 btw
I can't rlly guess what you did for the second one either
You're going to need to explain to me how you got those answers for me to help
hardy widget
oop
hardy widget
i just plugged them into f' the chart
that should work tbh
maybe check your work over?
hardy widget
,rotate
warm shaleBOT
hardy widget
$\tan 0=0 \implies f(\tan 0)=-5$, not $0$.
warm shaleBOT
Civil Service Exam is good
warm shaleBOT
Civil Service Exam is good
hardy widget
So for instance, $F'(0)=$\sec^2 0 f(\tan 0)=f(0)=-5$.
warm shaleBOT
Civil Service Exam is good
Compile Error! Click the 
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woven creek
so the answer is -5
hardy widget
for the first one, yes
for the second one, I'll leave you to do that on your own
it's the same logic
woven creek
i dont understadnthe seond one
hardy widget
it's the same logic as the first one, so what don't you understand about the first one?
uneven otter
When Im calculating the price of kWh. I simply do kWh * cost of kWh right? So for example my appliance uses 40 watts then converting it to kw will be 0.04 and 0.96 kWh per day and the price is $1 per kWh. I just simply do 0.96 * 1?
obtuse pebbleBOT
When Im calculating the price of kWh. I simply do kWh * cost of kWh right? So fo...
sage iron
When Im calculating the price of kWh. I simply do kWh * cost of kWh right? So fo...
write out the units in fraction form and cancel
does the resulting unit agree with what you want?
uneven otter
write out the units in fraction form and cancel
does the resulting unit agree wi...
Are your referring
to the conversion?
from watts to kWh?
sage iron
0.96 kWh per day and the price is $1 per kWh. I just simply do 0.96 * 1?
sage iron
write the units as a fraction instead of using the word "per"
sage iron
Uh I dont get it
what don't you get
sage iron
I just simply do 0.96 * 1?
what do you get if you do
0.96 kWh/day x $1/kWh
uneven otter
$0.96/day?
sage iron
exactly
uneven otter
Yes but now look at thus
sage iron
is that what you want?
sage iron
what did you get
uneven otter
Why did I get 1.04 in the first one
Omg because it says per day not per kWh.
Im stupid asf
.close
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
buoyant horizon
obtuse pebbleBOT
buoyant horizon
I get the first one
and the last one I subsistuted the first y value in
however i don't get cos(theta)
to find the terms in terms of theta
hardy widget
Consider the Pythagorean theorem for (c)
buoyant horizon
would that be considered a trig raatio
hardy widget
❓
fervent lake
cos(phi) = cos(90-theta).....
buoyant horizon
The question indicates to use trignometric ratios and in terms of theta
hardy widget
Consider the Pythagorean theorem for (c)
this was never the final answer nor the full solution
it was a hint.
buoyant horizon
Ye I get the hint
hardy widget
ok, what did you do with it?
buoyant horizon
2^2 + y^2 = z^2
warm shaleBOT
Civil Service Exam is good
hardy widget
and it's pretty obvious you can ||find z as a trig ratio then just square the result||
buoyant horizon
4(1+tan^2(theta)) = z^2
hardy widget
then use pythagorean identities
whatever it works out to the same thing in the end
🤷♂️
buoyant horizon
Could you tell me about cos(theta)
hardy widget
cos(phi) = cos(90-theta).....
use this then
you can apply the ||cofunction between sin and cos||
buoyant horizon
what does phi represent?
hardy widget
it's a variable, just like $\theta$.
warm shaleBOT
Civil Service Exam is good
hardy widget
$\phi$: this is phi.
warm shaleBOT
Civil Service Exam is good
buoyant horizon
so it's unknown?
hardy widget
**Civil Service Exam is good**
I mean it's a variable like I said here, so yeah.
buoyant horizon
oh wait
phi and theta are different
why is cos(phi) = cos(90-theta)
could you explain?
hardy widget
sum of angles in a triangle
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
unreal quartz
whats 10+10?
obtuse pebbleBOT
whats 10+10?
dim patio
Your level?
dim patio
Are you trolling or what
dim patio
Welp, then I guess the answer is too direct to get help
unreal quartz
bro 💀
wdym im trolling
i would be arrested if i was trolling
bc in sydney
police are investigating
dim patio
what is 4 to the power of 2014
Dude, not even calculator can be able to solve thiz
unreal quartz
Dude, not even calculator can be able to solve thiz
bc it said
what is the last digit
of 4 of the power of 2014
dim patio
what is the last digit
Then this is solvable
unreal quartz
Then this is solvable
is it 6 or 4
alr its 6
@dim patio how to close
this channel
dim patio
.close
obtuse pebbleBOT
unreal quartz
.close
dim patio
I already done it for you
obtuse pebbleBOT
Available help channel!
grim crater
is there a way to do this integral without a calculator
obtuse pebbleBOT
is there a way to do this integral without a calculator
fierce lagoon
polar trout
hello, i need help
obtuse pebbleBOT
hello, i need help
polar trout
<@&286206848099549185>
timid silo
It's unreadable
polar trout
im sorry, wait i'll upload a better one
A video posted on YouTube initially had 80 views as soon as it was posted. The total number of views to date has been increasing exponentially according to the exponential growth function y=80e^0.2t, where t represents time measured in days since the video was posted. How many days does it take until 2500 people have viewed this video?
spiral ether
A video posted on YouTube initially had 80 views as soon as it was posted. The t...
t is the time measured in days, and y is the number of people who have viewed the video at a given time
can you set up an equation using the information in the question?
polar trout
how do we find the time?
polar trout
f(x)= 80(1+0.2)^t
spiral ether
f(x)= 80(1+0.2)^t
that's a different thing
because the base of the exponent isn't e here
polar trout
2500= 80(1+0.2)^t
spiral ether
2500= 80(1+0.2)^t
yep, you set the function equal to 2500
but $e^{0.2 t} \ne (1 + 0.2)^t$
warm shaleBOT
findingsouth
spiral ether
polar trout
then what is e on y=80e^0.2t
spiral ether
then what is e on y=80e^0.2t
e is a special number
it comes from compound interest, like in banks
so if you pay 1/2 * 100% = 50% interest twice a year, and you start with 1 dollar, you'll get (1 + 1/2)^2 = 2.25 dollars
polar trout
wait, what?
spiral ether
spiral ether
so if you pay 1/2 * 100% = 50% interest twice a year, and you start with 1 dolla...
but are you confused on this step?
polar trout
yes, it looks complicated 😅
spiral ether
yeah, just remember that e comes up all the time in maths
you might be thinking "who cares?" but maths is there to make you a better thinker and to expand your mind, even though in practice it's not often this way
anyway, 2500/80 = (1+0.2)^t gives ln(2500/80) = t ln(1 + 0.2) using the power rule for logarithms
lean pilot
hi so i asked this question before, but i just wanted clarification on this property of multivariate normal distributions
obtuse pebbleBOT
hi so i asked this question before, but i just wanted clarification on this prop...
lean pilot
we've got this, and this was the working out for the proof
but i wanted to ask why E(ZZ^T) = I_n
the expected value of Z is obvious, what about ZZ^T
obtuse pebbleBOT
@lean pilot Has your question been resolved?
lean pilot
<@&286206848099549185>
obtuse pebbleBOT
@lean pilot Has your question been resolved?
obtuse pebbleBOT
@lean pilot Has your question been resolved?
obtuse pebbleBOT
@lean pilot Has your question been resolved?
obtuse pebbleBOT
@lean pilot Has your question been resolved?
timid silo
is there a way to do this integral without a calculator
yeah, first get 10 - 20 pages of paper.
real pebble
hey, in my laplace transform question, it includes sinh(2t), the laplace table shows it as being omega/s^2-omega^2 (we havent done any examples with any sinh or cosh) im confused as to why when its sinh its a -, but when its regular sin its +?
obtuse pebbleBOT
hey, in my laplace transform question, it includes sinh(2t), the laplace table s...
real pebble
never done A-levels, got in through a foundation and this is my second year and i dont remember ever having to use sinh/cosh for anything, so dont know anything about these functions
obtuse pebbleBOT
@real pebble Has your question been resolved?
obtuse pebbleBOT
@real pebble Has your question been resolved?
obtuse pebbleBOT
@real pebble Has your question been resolved?
obtuse pebbleBOT
@real pebble Has your question been resolved?
real pebble
<@&286206848099549185> ....
shut tulip
jeez u waited abt 4 hours just for that one questions sheesh
amber elbow
@real pebble do you know what sinh t is?
it follows from linear combination of laplace transforms and of laplace transfrom of e^(at)
ill leave sinh(at)=(1/2)*[e^(at)-e^(-at)]
obtuse pebbleBOT
@real pebble Has your question been resolved?
real pebble
<@277612226184085504> do you know what sinh t is?
Not a clue
real pebble
ill leave sinh(at)=(1/2)*[e^(at)-e^(-at)]
I do have a table showing the end results, buts why it has a minus I don’t understand or what the ‘h’ part really means
simple stone
62.403 divided by 8.5
obtuse pebbleBOT
62.403 divided by 8.5
simple stone
i need answer pls
peak shuttle
Use a calculator
timid silo
if annual interest rate=18%,deposit period=2years and simple interest=$1620, find the principle and the amount.
obtuse pebbleBOT
if annual interest rate=18%,deposit period=2years and simple interest=$1620, fin...
timid silo
if annual interest rate=18%,deposit period=2years and simple interest=$1620, find the principle and the amount.
obtuse pebbleBOT
@timid silo Has your question been resolved?
obtuse pebbleBOT
@timid silo Has your question been resolved?
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
dreamy scroll
ok so now i dunno how these happened
obtuse pebbleBOT
ok so now i dunno how these happened
tranquil arch
dreamy scroll
ok leme process what im seeing
why did 3x^2 get splitted like that instead of being (12x^2 - 3x^3)^2
tepid depot
why did 3x^2 get splitted like that instead of being (12x^2 - 3x^3)^2
it doesnt matter, you still get the same expansion of 3x^4-24x^3+48x^2
timid silo
they just rewrote 3 * x² * (4-x)² into 3 * (4-x)² * x²
dreamy scroll
is that applicable for all other possible examples of that nature?
tepid depot
yes
tepid depot
but its quite unnecessary
dreamy scroll
how so?
tepid depot
both ways of writing it would get you the same answer
dreamy scroll
but this is easier to understand right
tepid depot
if you think its easier then you should do it that way
dreamy scroll
you had me at easier XD tysm
but let say the denominator is different
cant its still be written that way?
timid silo
Yes it's the commutative law
obtuse pebbleBOT
someone help <#903430333096132618> they've been waiting so long
stable rain
LOL
timid silo
.close
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
austere eagle
Hi can someone please help me with high school probability questions?
obtuse pebbleBOT
Hi can someone please help me with high school probability questions?
austere eagle
I am willing to pay for help
I have many basic questions I need help with, ranging from stuff like binomial distributions to normal distributions and some sampling etc
Worded questions are not complex but I struggle with the probability math itself
proven zephyr
I am willing to pay for help
We don't accept payments in this server. You can just ask your question and someone with high enough knowledge on the subject might come and help you with your question.
austere eagle
We don't accept payments in this server. You can just ask your question and some...
sorry i understand
halcyon plover
Get a teacher then
fickle turret
tepid depot
i will pay on his behalf
stable rain
🥣
obtuse pebbleBOT
Available help channel!
timid silo
help pls how do we solve this the answer has to be 7
obtuse pebbleBOT
help pls how do we solve this the answer has to be 7
oak glen
You have three unknowns you need to solve for. Can you set up three equations?
timid silo
idk what are they
halcyon plover
Do you know properties of parallelograms?
timid silo
no i dont
halcyon plover
Do you know the formula of its perimeter?
old dagger
Is 3x-2=x-w+1 correct?
halcyon plover
Your teacher must've teach you before bringing up this question
timid silo
ikk she didnt
high lily
have you done any course on geometry before this?
timid silo
who me?
high lily
yes, you
timid silo
no
high lily
was this the only question in this section that involved geometry?
timid silo
yeah
high lily
i suppose it would be a good idea to start by looking up on properties of a parallelogram
and basic geometry terms like perimeter
timid silo
old dagger
The length of AD = BC and AB = DC
timid silo
what are they
timid silo
perimeter is 22?
timid silo
yes i do
timid silo
yeah ig
old dagger
Show me
timid silo
help pls how do we solve this the answer has to be 7
this is the full equation😭 wdym
old dagger
Umm
timid silo
yes
old dagger
So wht is value of AD BC AB DC
timid silo
x=8?
timid silo
what
timid silo
how would i find it
old dagger
Do u learn systems of equations before?
timid silo
no
timid silo
yes ik but she said its a challenge i dont have to do it but i really wanna do it cuz i wanna get bonus marks
timid silo
ikr
obtuse pebbleBOT
@timid silo Has your question been resolved?
timid silo
<@456226577798135808> Has your question been resolved?
no
obtuse pebbleBOT
@timid silo Has your question been resolved?
junior pebble
Tan(less than 90) = cot ?
obtuse pebbleBOT
Tan(less than 90) = cot ?
junior pebble
Cot(less than 90) = tan ?
If the value of theta is less than 90, it'll change right ?
weary delta
No, that’s not correct almost anywhere, just at one point 45 degrees
junior pebble
What do you mean
weary delta
Tangent of angles smaller than 90 degrees isn’t equal to the cotangent of that same angle
weary delta
Sure. Tangent of 0 degrees is 0. Cotangent of 0 degrees is not even defined but it heads off to infinity
weary delta
The thing you said is almost never correct
There is one singular angle that satisfies tanx = cotx, 0 <= x <= 90
junior pebble
Still 0degree is in the trigno table, is there another example
weary delta
45
junior pebble
Hmm
weary delta
Try 30, you’ll see it’s not right
junior pebble
Oh yeahh
Wait
If tan70 can be written as cot90-70
So its always subtracted by 90 to covert
Right ?
Or can there be exceptions
@weary delta
weary delta
$\tan{(\frac{\pi}{2} - \theta)} = \cot{(\theta)}$
warm shaleBOT
Learath2
junior pebble
Can i take pie as 22/7 ?
weary delta
Oh, that’s theta measured in radians
If you want the same rule in degrees, just use 90 instead of pi/2
junior pebble
Is it cuz on the 1st quadrant, cot is positive ?
junior pebble
To go from cot to tan, subtract the angle from 90. 90 - 64 = 26
90x90-64 ?
Oh yeahh
Do have to multiple 90 with 90 for every conversion or just for tan and cot
@weary delta am so sorry to ping you so many times
@solid lion pls help
@timid silo
help
timid silo
Tan(less than 90) = cot ?
I didn't understand it.
If you are asking whether tan(x) = cot(x), where x < 90°, then no.
There are some values for which that will work but not all.
junior pebble
If you are asking whether tan(x) = cot(x), where x < 90°, then no.
Is tan123=cot33 and is cot123=tan33
timid silo
Is tan123=cot33 and is cot123=tan33
I'll give you a hint. tan(90°-x) = cot(x).
Where x is in degrees.
timid silo
Is tan123=cot33 and is cot123=tan33
If you can find an x such that you get back to this equation, then sure.