does this make sense
#help-42
fossil quest
u think u can write it ?
fossil quest
<@736787923181240341>
Why can’t you just cancel out the 2s and 4s
drifting seal
because ur adding on the top
fossil quest
Like I did here
drifting seal
not multiplying
think of dividing by 2 as multiplying by 1/2
u have to distribute the 1/2 to each term
not just the first
drifting seal
no problem
calm coralBOT
@fossil quest Has your question been resolved?
cedar ether
A complex valued function, depending on a real variable and defined on $A$, is integrable if it's real and imaginary parts are integrable. Suppose we have $$\int_A |f|<\infty,$$are then the real and imaginary parts also integrable, i.e. finite?
potent lotusBOT
Philip
cedar ether
.close
calm coralBOT
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remote mural
goddamn bro not these many questions at a time please no one's helping you with all these
sage cosmos
It would have helped if you posted 1 question first and after we helped you, you move to other
prime salmon
goddamn bro not these many questions at a time please no one's helping you with ...
i just forgot how to solve the equation
remote mural
It would have helped if you posted 1 question first and after we helped you, you...
^
remote mural
so you dont know how to solve system of equations?
prime salmon
lets start with this
sage cosmos
Do you know how to write slope intercept form equations
prime salmon
so you dont know how to solve system of equations?
I literally forgot everything expet emlination
prime salmon
Do you know how to write slope intercept form equations
y=mx+b
prime salmon
Graphically can you tell me what do m and b represent
m is the slop and b is the y-interspet
sage cosmos
So do you know what's the slope and y intercept?
If you know then the question is easy
prime salmon
If you know then the question is easy
i forgot how to solve
I justnknow the meaning
sage cosmos
If you know the meaning you can solve it
prime salmon
If you know the meaning you can solve it
how
sage cosmos
tell me what's the y intercept
since you know their meaning
I only what to know the meaning
prime salmon
tell me what's the y intercept
y interspet is when i let x is = to 0
sage cosmos
y interspet is when i let x is = to 0
That's true, but what is the definition?
prime salmon
That's true, but what is the definition?
i forgot
sage cosmos
Y intercept is the point where y axis cuts the graph
So you can know what the b is by looking at the graph
sage cosmos
There are 2 lines so 2 bs
prime salmon
but they only touch ones
sage cosmos
Also 5 ain't the y intercept for both
prime salmon
but its the the part when the two lines meet
sage cosmos
but they only touch ones
They touch y axis at 2 different points
sage cosmos
but its the the part when the two lines meet
The two lines sure meet at one place but that is not y intercept
prime salmon
You mean 2 and 4?
sage cosmos
Yes
Y intercept will be the point on y axis where the line meets
So now you know the b's, it's time to move on to m (slope)
Can you tell, what is a slope?
prime salmon
Can you tell, what is a slope?
slop is m
prime salmon
Also it's "slope" spelling
mb
remote mural
slop is just cute
prime salmon
but i forgot what slope in math means💀
prime salmon
slop is just cute
miss spell
sage cosmos
but i forgot what slope in math means💀
Well when the line joins x axis, it makes angle theta with it, tan theta is called slope
Do you know what's tan theta is?
prime salmon
Do you know what's tan theta is?
nope
prime salmon
Trigonometric ratio
i forgot everything
sage cosmos
slop is just cute
Can u explain slope..it seems hard for me
prime salmon
@sage cosmos can we just go through answers becuse its kinda late for me
sage cosmos
<@561270415008333847> can we just go through answers becuse its kinda late for m...
We don't feed answers because then you won't learn anything and we are here to guide you
prime salmon
We don't feed answers because then you won't learn anything and we are here to g...
i know but like there is a timer for the home work and after that i will learn
remote mural
i mean its the same thing as you said, tan value of the angle the line is making from positive x axis
but he dont know what tan is
so its kinda difficult
prime salmon
in both ways i will learn
sage cosmos
i know but like there is a timer for the home work and after that i will learn
These are basic things, we don't provide shortcuts..
remote mural
i can just share a video with you so that you understand slope better
remote mural
These are basic things, we don't provide shortcuts..
yep this
prime salmon
These are basic things, we don't provide shortcuts..
But its already late for me
we can learn tomorrow
sage cosmos
But its already late for me
If you have spirit of learning, nothing is too late
prime salmon
If you have spirit of learning, nothing is too late
its 12:30 and i got 2 exams in like 6 hours
am
sage cosmos
If we provide answer to someone because he is late or because of some sorrowful circumstances, then that will become excuse for anyone and discipline will be lacking in our cause to help people learn
sage cosmos
its 12:30 and i got 2 exams in like 6 hours
Studying is long term thing, so you should have studied before
prime salmon
Studying is long term thing, so you should have studied before
i did
but other lessons
sage cosmos
It could be said unfortunate then
Math was treated unfairly by you because you gave other lessons priority
So now math is giving back karma
prime salmon
Math was treated unfairly by you because you gave other lessons priority
I used to be they best math student in my classes
math was my love
remote mural
ok lets just not fight 😭
sage cosmos
👍
prime salmon
ok lets just not fight 😭
we aren’t fighting
sage cosmos
ok lets just not fight 😭
Yed
sage cosmos
Yes
remote mural
yea lol
calm coralBOT
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@prime salmon Has your question been resolved?
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signal crater
Which statements are true or false?
A={0,2,{0,2},∅,{1}}
B={1,{0},{0,{0,2}}}
- {0,2} ∈ A ∩ B
- ∅ ⊆ B
- {0,1} ⊆ A ∪ B
- {1} ⊆ A
- 1 ∈ A
- {0,2} ⊆ A ∩ B
- 0 ∈ B
- {{0},{1}} ⊆ A ∪ B
- {0,{1}} ⊆ A
- |B| = 5
1- True, {0,2} is an element of A intersect B as {0,2} appears in both sets.
2- True, The null set is always a subset of a set.
3- False, {0,1} is not a subset of A union B as neither set has {0,1}.
4- True, {1} is a subset of A
5.- True, 1 is an element of {1} -
True, {0,2} is a subset of A intersect B as {0,2} appears in both sets -
True, 0 is an element of {0} -
False, {{0},{1}} is not a subset of A union B, but the individual {0} and {1} are each subsets of A union B. -
False, {0,{1}} is not a subset of A -
False, the cardinality of B is 3
I’m not sure where I’m going wrong as the corrector only accepts if all the answers are right.
potent igloo
1- True, {0,2} is an element of A intersect B as {0,2} appears in both sets.
Where are 0 or 2 in B?
Oh derp nvm I read it wrong
frank gull
Oh derp nvm I read it wrong
potent igloo
3- False, {0,1} is not a subset of A union B as neither set has {0,1}.
Are you confusing this with ${0, 1}\in A\cup B$?
potent lotusBOT
SWR
frank gull
> 3- False, {0,1} is not a subset of A union B as neither set has {0,1}.
Ar...
good catch I missed that
potent igloo
but does everything else make sense?
4- True, {1} is a subset of A
Where is 1 in A?
5.- True, 1 is an element of {1}
Same question
potent igloo
But where is 1? I see {1}, but not 1
potent igloo
yeah
Most of them are having this same problem
I guide you to review all of your answers again with this in mind
signal crater
do you mind explaining the difference between ⊆ and ∈?
potent igloo
do you mind explaining the difference between ⊆ and ∈?
x∈y means that x is an element of y. If you wrote y as a simple set, it would be something like y={..., ..., x, ..., ...}
x⊆y means that every element that is an element of x is also an element of y
Integers are a subset of all real numbers
calm coralBOT
@signal crater Has your question been resolved?
calm coralBOT
@signal crater Has your question been resolved?
pliant forum
how am I wrong if the integration limits are only 4 to 5?
calm coralBOT
how am I wrong if the integration limits are only 4 to 5?
leaden thunder
how am I wrong if the integration limits are only 4 to 5?
You didn't include the area above the x axis
Only below it
pliant forum
yes but the bounds are only between 4 and 5?
leaden thunder
Yes
pliant forum
4 to 5 should only represent under x-axis? 5 to 6 is above
leaden thunder
But you're asked to calculate the area from 5 to 6 using the information about the area from 4 to 5
leaden thunder
Yes I know
pliant forum
oh I see what you are saying
flint axle
calm coralBOT
shadow tendon
Do you know what the average value is?
jolly sapphire
no you picked the correct one
shadow tendon
Yeah
jolly sapphire
it does not need to be
shadow tendon
To find average its not needed
jolly sapphire
if its continuous it will reach the average value
but if its not continuous it may or may not
in this case it doesnt
if you have 1 cookie and your friend has 0 cookie you have an average of 0.5 cookies together
that makes sense
but none of you has 0.5 cookie
its pretty much the same here
calm coralBOT
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smoky crane
How do I determine the limit of this? And how do I know if it converges or not?
smoky crane
Gut feeling tells me it converges somewhere between 0 and 1 but I am nit sure
low pasture
You can expand the fraction
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keen zodiac
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noble wasp
An engineer is not a fairy, so i would say that the limit does not exist
calm coralBOT
@keen zodiac Has your question been resolved?
sterile plover
you can look at the paths y=1 and x=0
keen zodiac
?
calm coralBOT
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warm grove
hello
potent lotusBOT
everg
torn gorge
since you can always extract the third root of a real number
torn gorge
first is y=lny^x/lnx ?
yes but I think it is not too useful since you have not isolated the y variable
torn gorge
by using what i got: $x^{2/3}\ln x=x\ln x^{2/3}=\frac{2}{3}x\ln x$
potent lotusBOT
everg
torn gorge
we can simplify $\ln x$ when $x\neq 1$
potent lotusBOT
everg
torn gorge
if x=1 then we get the trivial solution x=y=1
torn gorge
in the LHS you got $x^{\frac{2}{3}-1}$
potent lotusBOT
everg
torn gorge
seems correct (sorry i got an exam today so i might misread something because of tiredness) to me
torn gorge
now find the y value from the first equation we have used...then plug these values in the system
and check if the equalities are verified
torn gorge
you have to find first the y value and then you can checl if your (x,y) are correct
warm grove
ok ty
calm coralBOT
@warm grove Has your question been resolved?
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frosty mica
Can someone check this rq?
calm coralBOT
Can someone check this rq?
remote mural
Can someone check this rq?
there are some mistakes
frosty mica
I figured as much. Always helps to have a second pair of eyes.
Can you point them out to me?
remote mural
PvQ means P or Q so there are two mistakes in that column
mortal orbit
no it should be all trues
mortal orbit
there's a false in the last column
frosty mica
I know.
I already established that one was wrong
I was asking if the entire last column was true.
mortal orbit
the row? the column?
frosty mica
Column
mortal orbit
yes its all trues
minor musk
i have an equation x^3/x^2-1 how do i calculate the vertical asymptote
minor musk
the domain is 1 and -1 so do i have to calculate it for both values?
humble ivy
You mean x^3/(x^2-1), right?
minor musk
x^3/x^2-1
humble ivy
Send a picture, because what you are saying now is this: $$\frac{x^3}{x^2} - 1$$
potent lotusBOT
Jelle
humble ivy
You probably mean $$\frac{x^3}{x^2-1}$$
minor musk
the -1 is under the fraction
potent lotusBOT
Jelle
minor musk
yeah
humble ivy
If you write this down in text, you need to use parentheses
humble ivy
You already found them, x = -1 and x = 1
vertical asymptotes occur if the denominator is 0
minor musk
i know but that means there are 2?
humble ivy
Yes, it does
minor musk
alright so the graph is going to be restricted by a vertical line at 1 and -1?
humble ivy
Yeah, the function isn't defined at x = -1 and 1
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pulsar jolt
calm coralBOT
exotic iron
7 8 9 questions
what have you done so far?
calm coralBOT
@pulsar jolt Has your question been resolved?
pulsar jolt
what have you done so far?
my bad i was eating dinner
pulsar jolt
what have you done so far?
so i dont rlly know where to start i forgot this from last year, im confused about what lateral is between normal surface area
<@&286206848099549185>
pulsar jolt
.close
weary goblet
I'm having some like terms/distributive property troubles. I've gotten this problem wrong a few times and this website gives me 3 chances before generating a similar problem. I think I'm doing the distributive property incorrectly but I have no idea what I could possibly be doing wrong. For instance when I was given the task to simplify -3 (5n - 5) + 2n, I tried distributing the -3 to the terms in parenthesis (-3 × 5n=-15n and -3 × -5 = 15) and then adding 2n to the 15n to get 17n, but 17n - 15 was incorrect as was 17n + 15. I'm not very good at math so this might be super obvious to somebody but I'm completely lost. here's the problem I have right now
primal nebula
I'm having some like terms/distributive property troubles. I've gotten this prob...
the reason you were incorrect the first time is because you swapped the negative with the positive even though you were initially right with the terms -15n and 15 which would be -15n + 15 + 2n which would equal -13n + 15
instead you did 15n - 15 + 2n which is why you got 17n - 15
weary goblet
that makes sense, I get my negatives and positives mixed up sometimes
primal nebula
let me know if you continue having trouble with this question
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white edge
I'm working on a homework assignment for my class, but I am stuck on a specific question. The question is to form a polynomial in standard form using the real zeros provided. Using the Factor Theorem and Conjugate Pairs Theorem, you get this: f(x) = (x+7)(x+i)(x-i)(x+8i)(x-8i). I'm struggling to correctly convert this function into standard form. Ignore the formula in the blue box, that was my latest incorrect answer.
white edge
DM me if you have questions. I'll post some screenshots for the theorems I mentioned if you need them.
Summary: I am struggling to convert f(x) = (x+7)(x+i)(x-i)(x+8i)(x-8i) into standard form of a polynomial. All 'i's in the equation are imaginary numbers.
civic dirge
I suggest multiplying out the pairs, first
Otherwise it's just tedious algebra
,w (x+7)(x+i)(x-i)(x+8i)(x-8i) expanded form
potent lotusBOT
calm coralBOT
@white edge Has your question been resolved?
marble escarp
I'm working on a homework assignment for my class, but I am stuck on a specific ...
Hold on
How x+8i ?!
root is 8 + i
not 8i
white edge
dang it I typed incorrectly!!
marble escarp
Yeah
marble escarp
lol
white edge
gonna have to work on this later, but thx for the assist
the problem automatically changes
unfortunately >.<
marble escarp
Rip
white edge
we may have lost this battle, but we haven't lost the war!!
marble escarp
xD
oak remnant
calm coralBOT
oak remnant
Wait so is the 42 degree angle and x add to 180?
since they are interior angles??
How do we find the angle BAD?
I found that the third angle in the triangle BAC is 29 degrees
Does that mean anything?
final raptor
x is 42°
final raptor
so you have the third angle of BAC which is 29
oak remnant
I got the problem wrong...
oak remnant
naw x=29
final raptor
IM SORRY
oak remnant
I hate geometry
final raptor
i get confused with geometry
calm coralBOT
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Available help channel!
burnt ferry
calm coralBOT
burnt ferry
Im sorry WHAT??
How did they even get that (98/81)pi??
nvmm figured it out
.close
remote mural
calm coralBOT
remote mural
How do I identify the change of rate?
remote mural
Do you know what the rate of change is?
How quickly something changes over time
You must know your theory well before doing questions or it would just be a waste of time
idle marten
Rate of change is the of y over the change of X
remote mural
The videos don’t really help
idle marten
How quickly something changes over time
“Something changes” is the change in y and “time” is the change of X
Do you agree?
idle marten
so when we look at the line we need to analyze how much y changes when x changes
So you need to pick 2 points to find that right
The best points are coordinates that are integers
idle marten
listen to what?
idle marten
Can you do that with the original line now
remote mural
Mhmm
idle marten
So if we “select” points on this line
we want to pick ones that intersect the graph lines so we know the exact value
@remote mural I see a point on the y axis and another point in the 4th quadrant of the graph
idle marten
Which quadrant?
Bottom right is the 4th
remote mural
Ok
idle marten
So point 1 is…
remote mural
Ur good
idle marten
Can you select a point on the graph that intersects the line
remote mural
I’m just not good at understanding
idle marten
A coordinate that the line goes through
Can you select the point that the line intersects on the y-axis?
It’s the big vertical black line
idle marten
Ok so the coordinate is (x,y) where x is the horizontal value and y is the vertical value
One point on the line is (0,4)
can you find that point on the graph
idle marten
The vertical line going up
what
That’s called the y axis
Ok so we have our first point
remote mural
Yea that
idle marten
Can you select another coordinate that the line crosses
calm coralBOT
dull rune
42
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calm coralBOT
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dense cargo
calm coralBOT
dense cargo
I don't get why I'm getting part b wrong
It looks right when I eyeball it
I tried -1,2, didn't work either
.close
calm coralBOT
dense cargo
Nvm I'm dumb
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slim cliff
i just wanna know how he got -8+a from |8-a|
calm coralBOT
i just wanna know how he got -8+a from |8-a|
potent igloo
If 8-a<0, then |8-a|=-(8-a)
frozen dome
i can solve this but wondering if theres an algebraic way that doesnt involve guess and checking
frozen dome
its from a past paper for a timed test
crude moat
I will need one sec to check
frozen dome
i am able to solve it but it required longer than i wanted to take considering it is only 2 marks
i dont wanna need to guess and check
muted lotus
Rewrite 16 = 2^4 and 81 = 3^4
frozen dome
Btw the question is only talking about positive ints
frozen dome
Rewrite 16 = 2^4 and 81 = 3^4
I still need to guess and check using that
muted lotus
Then you know that a and b must be powers of 2 and 3 respectively
frozen dome
Then you know that a and b must be powers of 2 and 3 respectively
They arent
Oh ive found one online that makes sense
Still just a really bad question especially with how they worded it
.close
calm coralBOT
quaint sphinx
@muted lotus ?
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shadow leaf
I'm stuck
hexed grove
i think youll need the lambert w function for this
unless there is some clever trick here
shadow leaf
i think youll need the lambert w function for this
I have nvr heard of that before
hexed grove
its defined $$W(xe^{x})=x$$
potent lotusBOT
Cycadellic
hexed grove
the function is the W
calm coralBOT
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.
shadow leaf
Given that R~B(n,0.8) and that P(R>n-1)<0.006 find the least possible value of n
shadow leaf
Given that R~B(n,0.8) and that P(R>n-1)<0.006 find the least possible value of n
The original qs
leaden thunder
You can use inverse binomial distribution calculator
calm coralBOT
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hollow relic
calm coralBOT
hollow relic
How do I write this as a sum or difference of logarithims
Is this right?
Nvm that's wrong
restrictions: a isn't equal to 0, b isn't equal to 0
<@&286206848099549185>
lone radish
$\log{\frac{a^{3}\sqrt{ab}}{(ab)^{2}}}$
potent lotusBOT
Gowtham
lone radish
and
use $ \log{xy} = \log{x} + \log{y}$
$ \log{\dfrac{x}{y}} = \log{x} - \log{y} $
hollow relic
that didn't work
calm coralBOT
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hollow relic
<@&286206848099549185>
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normal wasp
I got 2 chords that come from the same point the big one is 12cm and the smaller one is 10cm. The distance betwwen the small ones midpoint to the big chord is 4cm need to find the radius of the circle
winter loom
Draw a figure if you haven't already. If you already have one, might as well post it.
remote mural
A perpendicular drawn from the centre of the circle bisects the chord
You can use Pythagoras theorem to find that
Let the centre be O
Let the chord be AB with midpoint M
Here you have to find OA
OA² = OM² + AM²
I hope you get it
sacred valley
Draw a figure if you haven't already. If you already have one, might as well pos...
why don’t you rename yourself to „what the hell is I doing here“
would be funny
remote mural
wha would om be tho
OA² = 5² + 4²
OA² = 25 + 16
OA = √(25+16)
OA = √41
normal wasp
So the radius is sqrt41?
remote mural
Yeh
normal wasp
Thats wrong
normal wasp
Both of them a chords
normal wasp
The correct answer is 6.25
normal wasp
So you don’t know how to do it?
remote mural
I think i do
normal wasp
What don’t you get ask
remote mural
I might be just wrong or something
Can't help i guess
It should be somewhat like this
MN is the distance between them
remote mural
yeh i am dumb idk
calm coralBOT
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lusty kayak
Hello
lusty kayak
I need to translate this but the question says u and v in the room and to solve $u=(2,-5,3)$ , $||v||=6$ and the $\theta$ between the two vectors is $\frac{1}{2}\pi$
potent lotusBOT
Totalani
lusty kayak
the formula says $u\cdot v=||u|| ||v|| \cos(\theta)$
potent lotusBOT
Totalani
lusty kayak
So i got it to $6\sqrt{ 38 }$ but im not getting the correct answer
potent lotusBOT
Totalani
past zinc
**Totalani**
the dot product of perpendicular vectors is zero because the cosine of an angle of 90 degrees is zero
past zinc
ofc
past zinc
it's ok )
past zinc
yvw)
tame shadow
how do i determine the sum of this series?
calm coralBOT
how do i determine the sum of this series?
alpine stone
You can start by simplifying the denominator of each term
halcyon ravine
Yes
tame shadow
what should I do afterwards? I'm having an exam soon with these types of exercises and i can't wrap my head around it no matter how hard i try
winter loom
The sum telescopes.
tame shadow
The sum telescopes.
can you please explain how?
alpine stone
Use partial fraction decomposition on 1/(n(n+1))
tame shadow
Use partial fraction decomposition on 1/(n(n+1))
not 2/(n(n+1))?
alpine stone
Yeah, that
pliant niche
when i use this formula and my B value is negative
calm coralBOT
when i use this formula and my B value is negative
pliant niche
does this negative cancel out
pliant niche
does this negative cancel out
so if B was -5 would i just write in 5 here
crude moat
Yes
calm coralBOT
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normal wasp
i have a triangle the sides are 10 17 and 21 in that triangle there is a rectangle inscribed in it the ractangles 1 side is on the triangles big side the ractangles perimeter is 24 need to find the ractangles side
normal wasp
<@&286206848099549185>
paper obsidian
i have a triangle the sides are 10 17 and 21 in that triangle there is a rectan...
Is this all the info provided?
It could be anything, no?
paper obsidian
Probably. 24+24+12+12≠24
paper obsidian
no i need to solve i
Is that all the info for the problem?
normal wasp
yea
normal wasp
bro what are you even talking about?
paper obsidian
Trolling prolly
normal wasp
fen idk theres no more info just that
ok
your right
i dont need your help thp
pls help someone else
paper obsidian
fen idk theres no more info just that
Imma see what I can on google
@remote mural chill.
paper obsidian
i have a triangle the sides are 10 17 and 21 in that triangle there is a rectan...
Does it say which side of the rectangle you need to find?
Long/short
normal wasp
all the sides
but if i find 1 ill find every other one
so i just 1 side would do
the answer is not a whole number ik that
paper obsidian
I just dont understand how come there is one answer
We can inscribe infinite rectangles into that triangle with a parameter of 24
So if we say that the side of the rectangle thats on the big side of the triangle is x
Then we get that the height of the rectangle is 12-x
So lets say the recatngle is ABC and x is on AB side which is 21
normal wasp
the ractangles side thats on the triangle is not the whole triangles side
paper obsidian
Obviously
We wouldnt be able to inscribe a rectangle if it was equal to that side
normal wasp
yea
paper obsidian
So the rest of AB that is not covered by x is 21-x
There are two unequal small segments sum of which us 21-x
Nah there is no way
I say there is not enough info to solve this
<@&286206848099549185> we got a situation here
normal wasp
idk thats all thats given
sterile plover
are you sure it's a rectangle not a square?
paper obsidian
It would make much more sense if it was a square tbh
sterile plover
hmmm but it would be just side is length 6 lol
paper obsidian
Basically, yeah
paper obsidian
Go on
normal wasp
6 6/13 and 5 7/13
paper obsidian
You can close this channel, copy your message and make a new one to appear on the top of the help channels. People notice you easier, I tried it a few times.
normal wasp
wait
paper obsidian
Thats all I can help with
normal wasp
can you help me with something else it simpler
paper obsidian
Sure
normal wasp
should be
ok so
a pyramids base is a parallelogram the sides of the parralelogram is 10 and 18 the area is 90 of the paraleloram the pyramids hight is 6 and it land at the toching point of the parallelograms diagnals i need the pyramids faces surfice area
so not the base just the faces
Looks something like this
Ignore the top bits just the pyramid
paper obsidian
Can you find the height of the base?
You have the area and the side (choose any)
If you dont know how to do it, tell me so I explain. Phone's battery is dying, we gotta be quick
normal wasp
ok whats next lets do it fast
normal wasp
90/18
paper obsidian
Yeah, thats 5
normal wasp
oh yea now what
paper obsidian
Can you draw these heights on your paper so that they cross the touching point of the diagonals?
And show it here
normal wasp
the hight are for the parallelogram yes?
paper obsidian
Yep
normal wasp
how do i draw it so it touches the diagnals point
paper obsidian
Yeah so can you connect the top of your pyramide to the points where these heights meet the sides of the parallelogram?
normal wasp
then whats next
normal wasp
yes
paper obsidian
To do pyth you need to fing length between red and blue dots
normal wasp
4.5?
paper obsidian
Yeah
From there you find the yellow to blue side and the area of that triangle
You do the same on the other side (dont forget to split in half the height)
normal wasp
wait
paper obsidian
Yeah?
paper obsidian
Correct
normal wasp
6*4.5 no?
normal wasp
so base is 10
paper obsidian
Yep
normal wasp
10*sqrt5625/2
normal wasp
thats 10 tho
paper obsidian
i did 10 wait
10/2 = 5
normal wasp
one is the same as that right
normal wasp
so we got 75 as 2 area
paper obsidian
Area of those triangles, yes
normal wasp
yea
paper obsidian
Now do the same for the other two
And then add the area of the base and you get the full area
paper obsidian
Yes
paper obsidian
No no
normal wasp
thanks a lot
paper obsidian
Wait
paper obsidian
and the surfice area is 192
You forgot to add the base
paper obsidian
Oh k
normal wasp
just the faces
paper obsidian
Glad to help
normal wasp
thanks a lot
paper obsidian
Good luck :>
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sturdy acorn
How do I know whether to use power reduction formula as opposed to pythagorean identities? (Sin^2 = 1 - cos^2)
exotic falcon
How do I know whether to use power reduction formula as opposed to pythagorean i...
It depends what the problem is
what are you trying to solve?
Typically, if this is for integrals, you use the power reduction formula if there is a sin^(2) or a cos^(2) left by themselves with no other sine or cosine terms involved in the integrand.
and otherwise you do a u-substitution, and then use the pythagorean identity
sturdy acorn
I was just going through some example problems, but I’m not Referring to a specific problem. Since sin^2 can either become (1-cos2x)/2 OR/also 1-cos^2
So sin^2 equals both of them?
sturdy acorn
So if doing u sub, then use pythagorean identity
exotic falcon
but it should be a +
sturdy acorn
And if just by itself, use reduction?
exotic falcon
Yeah
if a u-sub is possible
it's probably nicer to do
but if there's nothing to be the du
then use reduction
sturdy acorn
Ok i see
sturdy acorn
Ok i see
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hardy canopy
I need help with the five disk covering problem: https://mathworld.wolfram.com/FiveDisksProblem.html. For five symmetrical disks placed, how is it that the radius is equal to 1/phi? I understand its something to do with the pentagon but I have no concrete idea why.
hardy canopy
<@&286206848099549185>
exotic falcon
<@&286206848099549185>
!15mins
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<@&286206848099549185>
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.
exotic falcon
<@&286206848099549185>
I just warned you above, don't tag helpers more than once
exotic falcon
It is only once total
hardy canopy
alright
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hardy canopy
.close
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neon jetty
Pls help
empty tartan
consider this: the total number of arrangements will be 5x4. Then, we can consider the first ball. The first ball cannot be 1, otherwise it cannot sum to 7. So 4 possible balls at first. The second ball has 3 options.
neon jetty
consider this: the total number of arrangements will be 5x4. Then, we can consid...
how you got 4
empty tartan
because we have 5 options at first right
then since we used that first ball, there are 4 left to choose the second ball from
neon jetty
then since we used that first ball, there are 4 left to choose the second ball f...
but it say two balls
so there will be 3 left to choose
?
neon jetty
because we have 5 options at first right
hello
wanton wave
I think it's simpler to think of this in terms of combinations (non-ordered)
How many combinations of two balls exist? How many of them have a sum of 7?
neon jetty
How many combinations of two balls exist? How many of them have a sum of 7?
2
3+4
and 2+5
wanton wave
Okay, and how many possible combinations exist total?
neon jetty
Okay, and how many possible combinations exist total?
2
wanton wave
No, I mean how many combinations of two balls exist total?
wanton wave
Do you know nCr?
neon jetty
Do you know nCr?
Combination ?
wanton wave
yes
wanton wave
This is exactly the kind of thing it's for
neon jetty
This is exactly the kind of thing it's for
oh
wanton wave
You have five balls. How many combinations of two are possible?
neon jetty
so 5C2?
neon jetty
5C2 is the total number of pairs
Gives me 10
wanton wave
yep, and like you said, 2 of them have a sum of 7
wanton wave
so
10 pairs are possible
2 of them have the property you want
So what is the probability that you get a pair with the property you want?
neon jetty
2/10, yeah
so its 1/5?
wanton wave
yep
neon jetty
yep
thanks do you know more examples of combination
so combination is used when order doesn't matter
how does that apply to this question
🗿
wanton wave
well because you don't care the order in which you draw the two balls
3 then 4 or 4 then 3
either way it adds to 7
neon jetty
well because you don't care the order in which you draw the two balls
oh yeah
but how do I know it quickly I should use combination
I get stuck on these types of question
wanton wave
Like, whenever you're choosing a group from a larger set
neon jetty
Like, whenever you're choosing a group from a larger set
ok
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timid minnow
hello
calm coralBOT
@timid minnow Has your question been resolved?
timid minnow
.close
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junior frigate
for the function y = slope*x+b
calm coralBOT
for the function y = slope*x+b
junior frigate
y = 1/6
slope = -1/18
x = 3
when i calculate it i get
1/6 = -1/18 * 3 + b
1/6 = -3/18 + b
1/6 = -1/6 + b
0 = b
hower b should be 1/3
where did i go wrong?
storm stirrup
1/6 + 1/6 is not 0
calm coralBOT
charred fable
Anyone help pls🙏
muted lotus
No
steep trout
48
charred fable
thanks. I was desperate for ur help
steep trout
Is this your electronic homework
calm coralBOT
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lost ice
so for cartesian bounds c: i have tried -sqrt(5^2-y^2) -> sqrt(5^2-y^2) , and -5 -> 5
lost ice
both are wrong.
remote mural
so for cartesian bounds c: i have tried -sqrt(5^2-y^2) -> sqrt(5^2-y^2) , and -5...
well like
i dont think you can have a numerical value for c and d
they gotta be in terms of the next variable
so like
,, c = -\s{5^2-x^2} \tss{and}d = \s{5^2-x^2}
potent lotusBOT
lost ice
this is what i thought it was !