ye
#help-28
clear lily
round gust
,w sin(x)=2
glossy valveBOT
round gust
,w 2 = (e^(ix) - e^(-ix)) / (2i)
glossy valveBOT
clear lily
i mean are they different
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placid jackal
how to differnetiante -2xy
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how to differnetiante -2xy
vast fossil
With respect to which variable?
placid jackal
x
vast fossil
Then it's -2y
placid jackal
the -2xy bit
vast fossil
Then it's -2y - 2xy'
vast fossil
Where is the other - coming from though?
low cradle
Hi, I have no clue what's going on here i need the area
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Hi, I have no clue what's going on here i need the area
low cradle
Yeah
atomic blade
Well you don't need the diagonal
It's a cube with side lengths of a
What's true about each side of a cube?
low cradle
I have no clue what's going on here i just got this sent with a note "Finish this by monday" I assumed i need the area but i honestly dont even know
low cradle
That's it this picture and "Finish this by monday" i supposed i need a?
I'm sitting staring at this picture for 2 hours that's my last resort
atomic blade
Well I can't help you if all you're given a cube with a diagonal
cursive void
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cursive void
hello can someone help me undrstand this question
the second part is the hardest for me to understand
I understand the first part
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@cursive void Has your question been resolved?
cursive void
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dense edge
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hallow walrus
both the methods are equivalent
carmine stratus
right i'd say, the left will waste time
void widget
Product rule is easy but both are good and correct
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ivory fern
Hey so im misunderstanding how the questions are being asked on my college courses, I'm not asking for the answer, just possibly some help on how to work out or set up certain problems
gritty rose
Hey so im misunderstanding how the questions are being asked on my college cours...
Ask a question if you want help
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@ivory fern Has your question been resolved?
ivory fern
How many days will we be driving? Remember, for this one there is no such thing as a partial day. (Hint, you will need to look up and use the ROUND function)
not understanding what is meant by round function and when I look it up i get the code but theres no way its giving me the right answer
the answer i get is 5.5 days on the road after breaks are taken out and it says to use the round function on that to input the right answer into the spreadsheet
im having trouble knowing what to ask because i dont want answers, i need to know how to do this stuff in a spreadsheet and I think i get how to code the formulas once i figure out what the formula is like how to work out the problem, i can give you the info used in the assignment but I was thinking if I just post the question then maybe we could use example numbers or something to help me get on the right track
heres all the questions, to maybe help with context clues and whatnot
- How many gallons of fuel will you need to travel?
- What will be the total cost of fuel?
- What is the total amount of time we will be spending on breaks, in hours?
- What is the total driving time, including breaks?
- How many days will we be driving? Remember, for this one there is no such thing as a partial day. (Hint, you will need to look up and use the ROUND function)
- How many nights will we need a hotel?
- What will the total cost of hotels be for our trip?
- While traveling, what is our average miles driven per hour? Don’t forget to include breaks.
- How much fuel are we using per hour of drive time during our trip?
- How much fuel are we using per day?
- How much money are we spending on each day we use fuel and stay in a hotel?
- How much money, in fuel, are we spending per hour of drive time?
- How much money will our trip cost us in fuel and hotels?
- What percent of our total trip cost comes from hotels?
- What percent of our total trip cost comes from fuel?
- What is the total percent of fuel and hotel percentages? Hint: it must be 100%
- How many miles are driven per day, on average?
- While Driving, not including breaks, what is our average MPH?
- How much, in fuel, does it cost to drive a single mile?
- What is your average MPH while traveling, but on a break?
ive done the first few as you can see where im at (on number 5)
wild sleet
they mean you have like
excel or google spreadsheet
and you can ROUND() things there
you can just try it
ivory fern
ok well maybe i cant get help here then, im going to email my instructor about maybe clarifying this so i can work on it tomorrow before its due, I just dont know if I need to round up or down here and if i do either then nothing else im doing makes sense
thank you anyways for your time and attention
wild sleet
you never said what's your problem
it's just a lot of context and you;re saying it doesn;t work out
maybe it's just me
gritty rose
Definitely not just uou
OP has a problem they're working on, and isn't giving it in its original form
wild sleet
i don't mean the original problem, i mean the exact issue, what result is not appealing and causes the confusion
so it's maybe just me
if you add 0.5 before round you can ensure that it rounds up
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ivory fern
its ok, thank you both
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boreal obsidian
Your welcome/.
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bright crane
Someone check my answers and tell if anything is incorrect
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Someone check my answers and tell if anything is incorrect
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haughty temple
hello
haughty temple
Can someone explain why this is the case?
How can this subspace may be only part of V yet the third bullet point implies V = span(..)
fast peak
the definition is separate from that text
ivory cairn
The bullet points are all the same thing. If v1,...,vn are a spanning set of V then Span(...) = V
fast peak
that text is only an explanation/comment/... for why you would want this terminology
ivory cairn
if v1,..., vn are not a spanning set of V, then Span(...) may not be all of V
last scaffold
how do i find the area of this shape
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how do i find the area of this shape
onyx glen
is it supposed to be a semicircle?
flint moon
Probably
onyx glen
@last scaffold
last scaffold
yeah it is
onyx glen
if so, do you know how to find the area of a whole circle?
last scaffold
1.9
onyx glen
"But because 1.9 is in the middle, should I not power 1.9 by 2?"
is that what you are asking?
last scaffold
yea
onyx glen
that question is phrased in such a way as to be unanswerable. there's no "should" in such problems.
i mean like
do you have an attempt that you aren't sure about?
or have you not written anything down yet
you can either find the area of the (semi)circle directly in terms of its diameter, or first find the radius and do it through that.
neither path is "better" or "more correct" than the other.
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runic igloo
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runic igloo
Hi
Can someone explain how the horizontal asymptote is y=0
Isn't the bottom greater than the top therefore making this a slanted asymptote/
Am I finding the degrees wrong?
runic igloo
It's the greatest number or if there's multiple parentheses you add them up
So like (x-2)^1(x+3)^2 is 3
x^2+4x+3 is 2
Because it's greater than 1
gritty rose
So like (x-2)^1(x+3)^2 is 3
Where does this expression come from
runic igloo
Just an example
I made up
Also for the function x^2-5x+6 / x^2-2x-3
My answer key says that there are 2 x-intercepts
What is that supposed to mean
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@runic igloo Has your question been resolved?
runic igloo
No
I'm confused about the 2 x intercepts part
Is this in reference to graphong?
graphing it
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serene sage
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normal tree
f and g are functions
g^(-1) is the inverse of g, also a function
f(g(1/81)) means that you apply g to 1/18 and then you apply f to that result
minor notch
it basically means that you first solve for g(x) and you get an answer.
then you solve for f(answer).
serene sage
so by applying g to 1/18, does it mean log_9(1/18)
minor notch
yes
light sonnet
okay do u think calculator is allowed in this ques?
Depends on your teachers instructions are
normal tree
I was allowed a calculator on every exam I took in university lol
serene sage
i'm gonna have a calc section and no calc section
i'm not sure wether this is solvable without calc or no
normal tree
it definitely is
light sonnet
In my opinion, that question would be non calc because it's just applying log concepts and it's a simple enough question to do by hand
minor notch
i wasn't allowed a calculator in university at all
so for me i can do it
swift fulcrum
Can anyone teach me how to make an equation for 3D planes?
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Can anyone teach me how to make an equation for 3D planes?
swift fulcrum
Where [x, y, z] = [6, −7,10] + s[1,3, −1] + t[2, −2,1]
normal tree
equations of planes are generally given by $x \cdot n = k$
glossy valveBOT
Saccharine
swift fulcrum
What about the equation Ax + By + Cz + D = 0?
normal tree
that's literally the same as the dot product thing
suppose n has components [A, B, C]
then x dot n is literally Ax + By + Cz
and k = -D
swift fulcrum
Does n equal to [6, −7,10] here?
normal tree
no
[6, -7, 10] is a point on the plane
note that a plane can be defined by a single point in space and two vectors on the plane
normal tree
"no equations for scalar in 3D" this makes no sense on its own
swift fulcrum
Oh that was for vector mb
Could you explain this in a easier way please
Our class when over this superficially
normal tree
what, planes?
swift fulcrum
Yea..
I don't understand why this is in a high school curriculum
Looks more like calc 3 stuff
normal tree
it's probably more useful than a lot of other things
swift fulcrum
I say integrations are more helpful
swift fulcrum
A sqaure
normal tree
no
swift fulcrum
Rectangle
normal tree
it's like an infinitely large sheet of paper in 3d space
swift fulcrum
Ohh
normal tree
suppose you start at a point on the plane
swift fulcrum
Ye
swift fulcrum
Okay
normal tree
if you lay down two sticks on the ground, keeping in mind not to make them point in the same direction or opposite directions
basically they're at some angle between each other that's not 180 degrees or 0 degrees
you can get to any point on the plane by walking first in the direction of one of the sticks for some distance and then walking in the direction of the second stick for some distance
swift fulcrum
Okay
normal tree
flipping that on its side
you can imagine that a plane can be defined by some starting point
and the directions of those two sticks
normal tree
no they're just regular sticks
swift fulcrum
Ok
swift fulcrum
Ok
normal tree
so basically you can come to the conclusion that a starting point and two direction vectors define a plane
now knowing that, can you tell me why 3 points in space, i.e. a triangle, also defines a plane passing through them?
swift fulcrum
now knowing that, can you tell me why 3 points in space, i.e. a triangle, also d...
Are you asking me why a triangular plane can also be a plane?
swift fulcrum
wdym by triangle?
normal tree
I'm asking you why, if someone gives you a triangle in space, there's a planes that passes through it
normal tree
Because of x, y, and z planes in 3d?
again, what does that even mean
what are x, y, and z planes in 3D?
if you don't know what words mean or how to use them together
then use simpler words
slamming a bunch of words together like linear combinatorics topology theory algebra does not grant them special meaning
math is not about learning magical spells
swift fulcrum
What do you mean if there is a plane that passes through a triangle?
normal tree
I mean that every point in that triangle is on a plane
swift fulcrum
Ohh
normal tree
note that if I give you 4 points in space, there isn't necessarily a plane that goes through all of them
swift fulcrum
I mean that every point in that triangle is on a plane
In order to do that they have to be parallel
normal tree
what has to be parallel
swift fulcrum
The plane and triangle
Or the three points in the triangle has to be in the equation of the plane
normal tree
yeah no it doesn't seem like you're absorbing anything
like the stuff you're asking
is just nonsense
https://www.khanacademy.org/math/linear-algebra/vectors-and-spaces/dot-cross-products/v/defining-a-plane-in-r3-with-a-point-and-normal-vector
like maybe try to watch a video or something?
you should also stop using words that make no sense
and learn the proper definitions of them
learn to make precise mathematical statements
normal tree
column vectors
torn jolt
V=U+ as for a. a=?
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V=U+ as for a. a=?
torn jolt
I dont even know where to begin?
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torn jolt
no
torn jolt
i solved it ty tho
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brittle steeple
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smoky marlin
Can anyone help?
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Can anyone help?
smoky marlin
i dont get it
shut thorn
what is $\cos 60$
glossy valveBOT
bettim
shut thorn
what is $\sin 30$
glossy valveBOT
bettim
smoky marlin
also 1/2
shut thorn
so now what is $\cos 60 - \sin 30$
glossy valveBOT
bettim
smoky marlin
0?
glossy valveBOT
bettim
smoky marlin
ohhhhh
oh daym
okay thanks
okay quick question how to compute those numbers without calcu
shut thorn
you're welcome
smoky marlin
cuz i dont have cot on my calcu
glossy valveBOT
bettim
smoky marlin
Can anyone help?
So for example if i use this id get 1/2 over 1/2 id divide them then that would equal to cot?
If so then cot is 1?
shut thorn
So for example if i use this id get 1/2 over 1/2 id divide them then that would ...
you can vro
x isnt equal nah?
in cos it was 60 in sin it was 30
if it was equal you can use
for example
$\frac{\cos 60}{\sin 60} = \cot 60$
glossy valveBOT
bettim
shut thorn
$\frac{\frac{1}{2}{\frac{\sqrt{3}}{2}} = \cot 60$
glossy valveBOT
bettim
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
shut thorn
$\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}} = \cot 60$
glossy valveBOT
bettim
shut thorn
$\frac{\frac{1}{\cancel{2}}}{\frac{\sqrt{3}}{\cancel{2}}} = \cot 60$
glossy valveBOT
bettim
glossy valveBOT
bettim
shut thorn
like this
sly frigate
So for example if i use this id get 1/2 over 1/2 id divide them then that would ...
cot45=1, but cos45 and sin45 are 1/sqrt2
i think you got that confused
sly frigate
you could also take the reciprocal of tan45 to find cot45
that way you don't have to find each cos and sin
shut thorn
$\frac{1}{\cos \theta} = \sec \theta$
glossy valveBOT
bettim
shut thorn
$\frac{1}{\sin \theta} = \csc \theta$
glossy valveBOT
bettim
smoky marlin
you could also take the reciprocal of tan45 to find cot45
Oki oki
Now what about this
glossy valveBOT
bettim
shut thorn
if cos increases, tnen it means the adjacent increases or the hypotenuse decreases
smoky marlin
Yepp
shut thorn
now look for all the functions that ahve adjacent in numerator or hypotenuse in the denominator
smoky marlin
sin has hypotenuse
shut thorn
$\tan \theta = \frac{\text opposite}{\text adjacent}$
glossy valveBOT
bettim
smoky marlin
im guessing sine?
smoky marlin
but why u send tan?
shut thorn
but why u send tan?
to give you an example how to fo
sly frigate
sin is correct
do you mean that sine is the correct answer?
smoky marlin
to give you an example how to fo
ohh okay okay
shut thorn
do you mean that sine is the correct answer?
the guess he made is correct
smoky marlin
Nope
shut thorn
well to sum up
when sin increases, cos decreases
like a result
remember this
now let me come back to the question
what is sec?
smoky marlin
no what is sec?
hypotenuse over adjacent?
shut thorn
$\frac{1}{\cos \theta} = \sec \theta$
glossy valveBOT
bettim
sly frigate
when sin increases, cos decreases
you should explain why
smoky marlin
**bettim**
oh that uhhh
sly frigate
consider a triangle with a fixed hypotenuse length: to make the cosine value larger, you can do it by making the angle smaller - that way the adjacent will become longer
but when you make the angle smaller, the opposite length becomes smaller
and since sin=opp/hyp with the hyp being a fixed length, sine decreases as cosine increases
smoky marlin
:> how did we get here
sly frigate
do you understand that
cos increases -> adjacent increases -> opposite decreases -> sine decreases
shut thorn
ok in the second triangle, i increased the angle, cosx = a/h
sin x = o/h
we can observe that sin increases as theta increases, and cos decreases as theta increases
smoky marlin
do you understand that
cos increases -> adjacent increases -> opposite decreases...
yeah I get it sort of
sly frigate
did you by any change learn about cosine and sine values using a unit circle?
smoky marlin
ok in the second triangle, i increased the angle, cosx = a/h
sin x = o/h
we can ...
Yepp i get it now
smoky marlin
did you by any change learn about cosine and sine values using a unit circle?
Okay nahh we did not discuss unit circle TT
sly frigate
oh well it doesn't really matter here
you just need to understand that as cos increases, sine decreases
let's go back to this
we now know that sine isn't the answer
now let's look at secant
$\frac{1}{\cos \theta} = \sec \theta$
smoky marlin
we now know that sine isn't the answer
i know that now TT
glossy valveBOT
jay.
sly frigate
when the denominator of a fraction increases, does the fraction increase or decrease?
smoky marlin
decrease?
smoky marlin
Decrease?
sly frigate
good
so now we know secant isn't the answer
let's look at cosecant
$\frac{1}{\sin \theta} = \csc \theta$
glossy valveBOT
jay.
sly frigate
a few minutes ago we figured out that sine decreases as cosine increases
using that, can you determine whether cosecant increases or decreases?
smoky marlin
so its also not cosencant
cuz if cosine increases then sine decreases and if sine decreases cosecant decreases
sly frigate
why so?
you just told me that when the denominator increases, the value of the fraction decreases
sly frigate
lol take your time
smoky marlin
if sin decreases that would make cosecant increase
sly frigate
yes
you can always make up examples to determine the behavior of the fraction
e.g. 1/4, 1/3, 1/2, 1/1...
the denominator decreases but the fraction value increases
smoky marlin
Okay okay now that makes cosecant the answer?
smoky marlin
yeh
sly frigate
do you understand that
cos increases -> adjacent increases -> opposite decreases...
using this, adj increases and opp decreases
smoky marlin
tan=opp/adj right?
so if cos increases that means adjacent increases and if adjacent increases that would make tan decrease
idk how to explain
sly frigate
the denomiator of tangent increases while the numerator decreases
that would make tangent decrease
sly frigate
i gtg now so i'll just sum it up quickly
let a=opposite, b=adjacent, c=hypotenuse in a right triangle
express all the trignometric values using a, b, c, and then use the pythagorean theorem c^2=a^2+b^2
hint: ||divide both sides of c^2=a^2+b^2 by c^2||
smoky marlin
How did we go to pythagorean theorem TT
sly frigate
oh because a, b, and c are the lengths of a right triangle
smoky marlin
oh because a, b, and c are the lengths of a right triangle
Yeah but theres no measurements they gave TT
WAIT WHAT THE YOUR EXACTLY RIGHT like seriously
sly frigate
that's why this is an identity
smoky marlin
sly frigate
it works for every right triangle
you should memorize this identity- it's a very important one
especially when you start learning trignometric functions, cosine and sine laws, etc..
sly frigate
smoky marlin
Nahhh i have no idea what a unit circle is and what i dont get is how A^2 and B^2 became cos and sin
smoky marlin
Ohhhhhhh now i get why its cos and sin
because A and B is opposite and adjacent
And opposite over hypotenuse is sin
okay i get it now
Thankyouuuuu
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supple galleon
Can I use usub for this?
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Can I use usub for this?
scenic wren
for what?
tame crag
this
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supple galleon
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torn jolt
you have to use integration by parts
supple galleon
Ok
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supple galleon
What do I set U as
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What do I set U as
supple galleon
^
vast fossil
That doesn't seem elementary
Because even after you do partial fractions
You get e^(-ax)/x + e^(-ax)/x^3
supple galleon
That doesn't seem elementary
What does that mean
onyx glen
you'r probably out of luck for integrating this symbolically
or maybe not...? hold up
,w int exp(-ax)*(1/x + 1/x^3) dx
gritty rose
,w int e^(x)/(x+x^3)
onyx glen
You get e^(-ax)/x + e^(-ax)/x^3
wait do you get that tho
or did you do a fucky wucky with the fractions
onyx glen
you did do a fucky wucky with the fractions
vast fossil
Right, I would rather call it a brain fart though as I had checked the fraction's decomposition in wolframalpha
supple galleon
So what do i set u as
onyx glen
nothing, you cant take this integral symbolically
vast fossil
My point is still there though, you end up integrating e^(-ax)/x and xe^(-ax)/(x^2 + 1)
vast fossil
What does that mean
Something being non-elementary means that you cannot express it with already defined operations and functions
E.g. multiplication, addition, sin, sqrt, so on
You will have to define something new in order to express it
supple galleon
How would I go about solving it then
fast peak
computer
or are you supposed to calculate a definite integral. maybe there are some complex analysis tricks for that
supple galleon
Idk complex analysis
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supple galleon
When solving this integral
Since i am solving in terms of A
Am I allowed to do what I did on the right side from steps 8-9
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@supple galleon Has your question been resolved?
uncut willow
Is -3/2 the evaluation of (-8/27)^(-1/3)
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Is -3/2 the evaluation of (-8/27)^(-1/3)
verbal harness
To solve this would I just do sin‐¹(5/13)? My steps were pythagreon Therom to get side RP which is 13 and then I just did sin
late grail
To solve this would I just do sin‐¹(5/13)? My steps were pythagreon Therom to ge...
yes
cosmic canopy
That seems right
verbal harness
Okay thanks
late grail
sin = opposite/hypotenuse
verbal harness
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verbal harness
To solve this would I just do sin‐¹(5/13)? My steps were pythagreon Therom to ge...
I did sin‐¹(5/13) and I got 22.62 but that was wrong
Does anyone know what I did wrong?
lucid cobalt
verbal harness
So then how do I find sin p?
If I do sin(5/13) then I am just left with a decimal
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wanton wolf
How can I prove this? I am unable to find a way
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How can I prove this? I am unable to find a way
brittle steeple
try combining the fractions
wanton wolf
Oh wait
Let me try that
i did that
but i am stuck at 2csc^2 A/ csc^2 A - 1 = 2 sec^2 A
nimble current
it might help to convert everything into sines and cosines
wanton wolf
yeah i was about to do that
because sec and csc can be converted to sine and cosines
imma try this
alr it worked
ty
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celest fulcrum
Hey, I did this question
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Hey, I did this question
celest fulcrum
where did the 25 come from?
here is my work for reference
I want to learn how to do this so please dont give me the answer lol
Just kinda wanna know how they got the 25
torn jolt
-24-1 = -25
celest fulcrum
But it wont be -1 its going to be multiplied right
because when u solve the 0 the second part becomes -1 while soving the intigral
torn jolt
$-8 x e^{-8x}-e^{-8x} = (-8x-1)e^{-8x}$
glossy valveBOT
Toby
celest fulcrum
but the original just cancles everything out due to the x in the equation
oh shell methord?
torn jolt
?
torn jolt
because when u solve the 0 the second part becomes -1 while soving the intigral
the -25 comes only from substituting 3 in
glossy valveBOT
BOSS
glossy valveBOT
BOSS
celest fulcrum
3 times 8 would be 25
24****
so how does it end up with 25?
am i missing something
oh
nvm,
i figured it out
i was being dumb
ty for your help lol
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sleek quest
is there a ncie and simple way to do this that im not seeing?
sleek quest
maybe make some triangles?
glossy valveBOT
BOSS
glossy valveBOT
riemann
gritty rose
is there a ncie and simple way to do this that im not seeing?
write two equations for the sides W=width, L=length. one for perimeter and another for diagonal using pythagorean theorem
Or maybe one for area
either way, you have two equations and two unknowns
sleek quest
im not sure how i could relate the lengths and widths
gritty rose
im not sure how i could relate the lengths and widths
diagonal using pythagorean theorem
gritty rose
x^2+y^2=11
not 11
sleek quest
why
gritty rose
unless you drew this picture wrong
your picture makes it look like $\sqrt{11}$ is the length from the center of the rectangle to C
glossy valveBOT
riemann
gritty rose
Or maybe one for area
find another equation for L and W in terms of area
sleek quest
your picture makes it look like $\sqrt{11}$ is the length from the center of the...
no its the length of the entire diagonal sorry
shouldve drawn that better
sleek quest
find another equation for L and W in terms of area
19=(sqrt(11)-x)(sqrt(11)-y)
19=xy-sqrt(11)x-sqrt(11)y+11
does that work?
doesnt seem so friendly
gritty rose
19=(sqrt(11)-x)(sqrt(11)-y)
what's x and y?
glossy valveBOT
riemann
hollow sable
doesnt seem so friendly
Yes because you need to do that much computation. Use the fact that (a^2+b^2)+(2ab)=(a+b)^2
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@sleek quest Has your question been resolved?
sleek quest
what's x and y?
gritty rose
https://discord.com/channels/268882317391429632/903486480985489478/1084972029733...
yea i found it
gritty rose
oh this is wrong
.
sleek quest
then im not sure what it is
sleek quest
19
gritty rose
x^2+y^2=11
this one
sleek quest
in xy = 19
do i solve this now? (19/y)^2+y^2=11
i get some really nasty numbers out of that
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pulsar gale
i get some really nasty numbers out of that
its not always a nice number
pulsar gale
i dont think its supposed to be imaginary though
that happens when there are no real roots
or you just messed up somewhere
pulsar gale
x^2+y^2=11
okay so
x^2 + (19/x)^2 = 11
,solve x^2 + (19/x)^2 = 11
,w x^2 + (19/x)^2 = 11
glossy valveBOT
sleek quest
maybe
what if something cancels out and produces a nice number when we find the perimeter
2(x+y)
hmmm
maybe we're missing something
pulsar gale
what if something cancels out and produces a nice number when we find the perime...
That would only happen if x = -y for the imaginary component
Which for 19/x is false
sleek quest
right
pulsar gale
@sleek questso theres no solution, problem solved
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dusky drift
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dusky drift
how do I first get started with this?
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@dusky drift Has your question been resolved?
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dusky drift
<@&286206848099549185> ?
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loud hull
[\frac{d}{dx} = 5(6x+2)(3x^2 +2x + 1)^4 = 4(30x+10)(3x^2 +2x + 1)^3]
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dopediscorduser
loud hull
,w derivative 5(6x+2)(3x^2 +2x + 1)^4
glossy valveBOT
loud hull
Where am I going wrong?
rocky saddle
ok
rocky saddle
Where am I going wrong?
So what did you do?
sly frigate
!show
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Show your work, and if possible, explain where you are stuck.
@loud hull Has your question been resolved?
worn flare
@loud hull still need help?
runic bloom
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runic bloom
can’t you just plug in pi/4 for x?
and then series of (1/2)^k
so geometric
a / (1 - r)
so 1 / (1 / 2)
so why isn’t it 2
the key says it’s D
torpid stag
the key says it’s D
I get 2 as well. I would assume that maybe they accidentally excluded k = 0 in the summation.
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shy tinsel
,rotate
glossy valveBOT
shy tinsel
!status
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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'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
but you can see that it's a cone and a cylinder right?
gritty ember
yea
fringe quiver
what is the question?
shy tinsel
and you also have some different lengths
gritty ember
yes
shy tinsel
so what about the cylinder?
gritty ember
the cylinder
shy tinsel
you already have the height and the diameter for that one
gritty ember
yea but what ab the radius for it?
shy tinsel
well radius is half of the diameter
gritty ember
wait
shy tinsel
so you can find the diameter
gritty ember
is the diameter 8
shy tinsel
yeah that's what it says
gritty ember
ohh ok so hald of 8 is 4
shy tinsel
so now you have half of the answer
because there is still a cone
so what do you know about the cone?
gritty ember
does the height stay as 9??
shy tinsel
no
you can see that the total height is 12
and you also know the height of the cylinder
so you can now figure out the height of the cone
gritty ember
do we subtract??
shy tinsel
yup
gritty ember
so we get 3
shy tinsel
yup
gritty ember
so 3 is fhe heightof the cone
and now we do the volume
and we get 16
and then to get the last blank we just add correct??
shy tinsel
yes
gritty ember
okayyy
what about part b? the third and fourth one
bcs ik the first two i know the lateral area im js confused ab the last two
shy tinsel
but the base of it
gritty ember
oh
shy tinsel
that's just a circle
gritty ember
circle??
shy tinsel
then you just add them all up
shy tinsel
no p roblem
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urban tiger
hi
urban tiger
I’m completely lost rn
my notes barely really help me
we’re doing rational expressions
real relic
send the Q
real relic
I can't see the powers clearly
urban tiger
7x^3
-x^2
bottom says 2x^3
It’s a really small monitor so I can’t take a clear picture
here’s a better one sec
real relic
$\frac{7x^3-x^2}{2x^3}$
urban tiger
glossy valveBOT
REY
urban tiger
yeah that seems right
real relic
do you know how to cancel powers
urban tiger
uh I mean I assume just cancel out the x^3 because they match?
real relic
yes
real relic
and you can also simplify $\frac{x^2}{2x^3}$
glossy valveBOT
REY
shut thorn
take $x^2$ common and then cancel
glossy valveBOT
bettim
shut thorn
you can do it if you take it out of the fraction
ye thats what i meant
urban tiger
okay I’m confused
real relic
$\frac{7x^3}{2x^3}$-$\frac{x^2}{2x^3}$
urban tiger
what are you doing atm with the question
glossy valveBOT
REY
real relic
can you simplify each fraction?
urban tiger
I don’t know what you did to get to that step
real relic
All i did was $\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}$
urban tiger
yeah factoring
we need to do that
that’s what a lot of my questions and examples are
shut thorn
$\frac{\cancel{x^2}(7x-1)}{2x^\cancel{3}}$
glossy valveBOT
bettim
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)
shut thorn
so now its
urban tiger
but I’m not very good at factoring so I’m confused on what’s the easiest way to determine factoring for bigger numbers
shut thorn
$\frac{7x-1}{2x}$
glossy valveBOT
bettim
urban tiger
yeah
you can’t cancel out the x’s further?
to get a final answer of 4?
ah they’re gone
urban tiger
oh okay
so you can only simplify until there’s one value of x left
and then you leave it alone
shut thorn
or you can do $3.5 - \frac{1}{2x}$
glossy valveBOT
bettim
urban tiger
Is stuff like 5 and 6
because I’m not sure how to factor that
image sendng
this
like I know you are supposed to factor it so I can cancel out the common numbers
but I’m not sure how to do it
the only factoring method I really remember is the Diamond thing
where you take a and c, multiply it, and then take b
uh like this
then you find two numbers that multiply to equal a*c, that also add to equal b
If I can figure out the factoring then I think I’m good
Cause I know how to cancel out and everything
shut thorn
uhm i have no idea about this diamond method
can you state which que exactly you want assistance
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scenic cedar
hello?
scenic cedar
a way to figure out:
what is the chance of hitting the same number, 5 times in a row, on a sixsided dice?
<@&286206848099549185>
torn jolt
tell me the total number of possibilities/sample space for this question
willow sedge
Because every time there is a probability of hitting a number 1/6
torn jolt
stop giving answers directly
willow sedge
a way to figure out:
what is the chance of hitting the same number, 5 times in ...
Tell what is probability of getting any single number once on a dice?
scenic cedar
i mean like in a format?
fx. i used this format to try and figure it out but im not sure.
"this":
⅙ = 16,67%
16,67 : 20 = 0,8335
scenic cedar
Tell what is probability of getting any single number once on a dice?
1 / 6
and then what is it 5 times in a row
?
willow sedge
1 / 6
Yeah so the probability remains same
in all 5 turns
so the probability is just 1/6
scenic cedar
ok, but doesnt the probability get lower when it has to be in a row 5 times?
scenic cedar
yes
willow sedge
in each roll
scenic cedar
for five turns
scenic cedar
yes ik for 1 throw it should be 1 / 6 but the chances lower to get all 5 times in a row
willow sedge
Let me give you an example
Assume you want to roll a 3 5 times
scenic cedar
ok
willow sedge
So with the probability of 1/6 you got it in the frrst roll
scenic cedar
yes
willow sedge
Now lets forget you got a 3
So the probability that we again get a 3 just remains 1/6
and so on till 5 rolls
scenic cedar
i dont think you understand my question..
willow sedge
I do my friend
TBH I got confused on a similar questions about an year ago and I refused to accept the answer
It was what is probabiltiy of getting a 69 twice in cartd numbered from 1 to 100
scenic cedar
it just doesnt make sense
scenic cedar
yea
willow sedge
there is a similar concept in your question
scenic cedar
can we start over? (sorry) im just gonna translate my text.
2 sec
whatever, thanks though.
👍
atomic vortex
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