It's rounding, some of the differences are odd, when divided by 2 you get a fraction
#help-0
raven rover
lone skiff
look in the screen
the mid in the first one was (2nd eleemtn) but
line 2
it was 3rd element
.
lone heartBOT
@lone skiff Has your question been resolved?
lavish monolith
can someone explain how did we find -1.33333 from normcdf
lone heartBOT
can someone explain how did we find -1.33333 from normcdf
lavish monolith
it's Normal Distribution
i tried to put in this formula but i got totally different answer
lone heartBOT
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lone heartBOT
@lavish monolith Has your question been resolved?
lime tangle
Let $f(\theta) = 2\cos{\theta} + \cos^2{(\theta)}$
lone heartBOT
Let $f(\theta) = 2\cos{\theta} + \cos^2{(\theta)}$
lime tangle
when finding the 2nd derivative, and making it equal to 0, u get theta to be
pi, pi/3 and 5pi/3
this is to find inflection point. Why is pi completely disregarded as an inflection point
drifting vector
Perhaps because f’(pi) is also zero?
drifting vector
Yeah, so it can’t be an inflection point or a critical point if the function you are deriving from is undefined or zero at that same point
gray isle
Yeah, so it can’t be an inflection point or a critical point if the function you...
inaccurate
lime tangle
but its not an inflection point for some reason
an inflection point can be a CP
like take x^3 for example
it has a CP at 0, and inflection at 0
gray isle
solving f''(x)=0
gives you potential locations of inflection points
they might not be and more work is needed
lime tangle
how do i know if it is or isnt
what extra work is needed
like how do i for sure know its not an inflection poiint
drifting vector
So if the function you are deriving from is undefined or zero at the same point as your critical point it’s not a critical point
The same applies to inflection points
Since f’(pi) = 0
That’s a critical point for the function f
However since we’re dealing with second derivatives
drifting vector
f’’(pi) cannot be an inflection point as f’(pi)=0
gray isle
you could check the slopes before and after
drifting vector
^this too
gray isle
inaccurate Sasaki, x^3 is a clear counterexample
drifting vector
I see it, my bad then.
lime tangle
inaccurate Sasaki, x^3 is a clear counterexample
what is the real explanation
gray isle
of what
lime tangle
of why its not an IP
gray isle
you could check the slopes before and after
lime tangle
nah thats 1st
the slope before pi is negative and the slope after is positive
@gray isle therefore, pi is not an inflection point
lime tangle
well its 1st and 2nd
because pi is also a critical point
pi is a critical point
the slope before pi is negative
the slope after is positive
through the 1st deriv test
therefore, pi is not an inflection point
drifting vector
what matters is what the second derivative test tells you since we're looking for inflection points
my previous thinking was flawed please ignore it
lime tangle
the 2nd dervative says that pi is an inflection point, well, it puts pi as a potential inflection point
lime tangle
ok so thats the answer then
when the slope before is not equal to the slope after, the point is not an inflection point
@gray isle correct?
agree or disagree
celest aspen
please explain borwein integrals but simple
lone heartBOT
please explain borwein integrals but simple
lone heartBOT
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celest aspen
what about them
i just couldnt grasp his ideas
lone heartBOT
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lone heartBOT
@celest aspen Has your question been resolved?
lone heartBOT
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Available help channel!
mortal cedar
How do you math
lone heartBOT
How do you math
slate jolt
manic wind
gilded pawn
i need help
outer lark
do you know what perpendicular means ?
gilded pawn
.close
lone heartBOT
outer lark
gilded pawn
<:bleakkekw:913344117981999125>
xD
lone heartBOT
Available help channel!
wet frigate
lone heartBOT
wet frigate
can i get some help on this
lone heartBOT
@wet frigate Has your question been resolved?
devout yew
from where does de -30b comes from and why ?
lone heartBOT
from where does de -30b comes from and why ?
lyric stream
$(a-b)^2 = (a-b)(a-b) = a^2 - 2ab + b^2$
ocean sealBOT
cantprogram
lyric stream
$(a-b)^2 \neq a^2 - b^2$
ocean sealBOT
cantprogram
devout yew
so if i have 2 items inside parentesis i cant just do this? i can only do that when it's only 1 item ?
lyric stream
so if i have 2 items inside parentesis i cant just do this? i can only do that w...
so if i have 2 items inside parentesis i cant just do this? no
lyric stream
so if i have 2 items inside parentesis i cant just do this? i can only do that w...
i can only do that when it's only 1 item ? yes
devout yew
ok, thank you
lyric stream
@devout yew .close 🙂
regal rose
@devout yew i like to use the box method to do this type of multiplication
this probably makes a bit more sense than the formula cantprogram provided
you multiply each term and then add them up
also foil method
devout yew
ty, i'll try it too
lone heartBOT
@devout yew Has your question been resolved?
tawny relic
lone heartBOT
tawny relic
I need help with a and** b**
tawny relic
But there are three situations in this question:hours:situations:weeks
tacit arch
Do I get a vouch if I help
what's a vouch
tawny relic
a recognition for his help
tacit arch
who gives out recognitions
tawny relic
the person whose telling the story
tawny relic
Cuz I'll love to help
sure
tawny relic
Do I get a vouch if I help
Are you saying from a judicial point of view?
<@&286206848099549185>
sour pewter
Okay
for a) let's break it down
the Stems going down are the first digit
and the leafs are the second digit
tawny relic
understood
sour pewter
For a you just count the leafs
tawny relic
but how do u know
tawny relic
but the answer is 45
tawny relic
that's fine
sour pewter
OOPS
tawny relic
My answer comes as 24 for me tho
sour pewter
I got it
thats y
21+11+6+5+2
I added an extra 11
That was my mistake
See Stem 1: it has 11 leafs
See Stem 2: it has 6 leafs
See Stem 3: it has 5 leafs
See Stem 4: it has 2 leafs
If you add 21+11+6+5+2=45
So I hope that clears up a
For clustering that's when there's a lot going on in the data
1-19
lone heartBOT
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Available help channel!
craggy token
how do i solve this?
lone heartBOT
how do i solve this?
craggy token
my friend said to do partial fraction decomposition which would involve cotangent at some point, and that the answer is n = 1, but i dont know how to split each fractions into two separate fractions.
all of them are in degrees
ocean sealBOT
riemann
tacit arch
And find $A, B$ for each term
ocean sealBOT
riemann
craggy token
ah okay
thanks
one more thing..
what about this one?
it's equivalent to 2cos^2(74) but how can it be 1 - cos32?
oh nevermind..
.close
keen mulch
lone heartBOT
tacit arch
complete the square in the square root
lone heartBOT
@keen mulch Has your question been resolved?
gritty verge
Oops im back
lone heartBOT
Oops im back
gritty verge
,rotate
ocean sealBOT
gritty verge
For qs 4 the first part, we can just use comparison test right?
And second part im not able to tell oof
vale wigeon
For qs 4 the first part, we can just use comparison test right?
sure can. sin(x)<x for positive x
for the second part, consider what happens if you pick a_n nonzero such that sin(a_n) is 0
gritty verge
for the second part, consider what happens if you pick a_n nonzero such that sin...
like if an is 180 right!
gritty verge
oh oop apologies
180 degrees is pi right o.0?
welp nvm ye so when an is pi sin(an) will be 0
but i still dont get how that answers part b?
vale wigeon
180 degrees is pi right o.0?
sure, but you don't use degrees in calculus ever.
gritty verge
sure, but you don't use degrees in calculus _ever_.
ye my bad sorry!!
@rose sigil hehe do u think u could help me out here? Sorry for the disturbance!
gritty verge
i cldnt really understand what ann was tryna tell like i understand the 0 part but idk how to imply it in my qs
rose sigil
you could have asked her haha
gritty verge
i didnt know how to phrase my qs lol
gritty verge
but i still dont get how that answers part b?
i mean i said i cldnt get it tho oof :">
rose sigil
so sin(pi) = 0
gritty verge
mhm
rose sigil
what's the simplest sequence ever you could make out of pi?
rose sigil
you could go even simpler but that'll work
gritty verge
oh oop i see
gritty verge
uh pi, 2pi, 3pi
OHH so like this example here it will diverge for an but not for sin(an) issit?
like the example?
rose sigil
yep 
rose sigil
pi, pi, pi, pi... also works
rose sigil
haha
lone heartBOT
@gritty verge Has your question been resolved?
ocean sealBOT
gritty verge
for part 2(a) a_k is (2/3)^k right?
rose sigil
wdym a_k?
gritty verge
like the test uk how alt series is (-1)^k(a_k)
or do ppl call it an/a_n not sure lol HAHA
rose sigil
oh
rose sigil
nooo it's ok dw
i think for these it's a better idea to see if they are absolutely convergent first
gritty verge
mhm
rose sigil
because if you use alternating series test and get that it converges you'll still need to check if it converges absolutely anyway
gritty verge
ah mhm
lone heartBOT
gritty verge
.reopen
lone heartBOT
✅
rose sigil
so i'd just look at $\sum_{k=1}^\infty \left|\left(-\frac{2}{3}\right)^k\right| = \sum_{k=1}^\infty \left(\frac{2}{3}\right)^k$ first
ocean sealBOT
💜𝓁𝒶𝓎𝓁𝒶💜
gritty verge
because if you use alternating series test and get that it converges you'll stil...
im not sure how to use alternating series test to test it too oops :">
ohhhh
rose sigil
for this one you won't need it but we can look at another example after 🙂
gritty verge
oh alright!
gritty verge
**💜𝓁𝒶𝓎𝓁𝒶💜**
hmm apologies but what exactly am i sup to do from here
rose sigil
it's a geometric series
rose sigil
the ratio is 2/3 (which is between -1 and 1) so it converges
gritty verge
OHH
so like if the absolute series converges
the alt series will converge absolutely
And when absolute series diverges but normal one converges, it converges conditionally,
rose sigil
yep exactly
rose sigil
you just need the original series to diverge to say it diverges
rose sigil
yay c:
gritty verge
i shall close the channel to take some rest haha a bit tired
rose sigil
enjoy!
steel minnow
lone heartBOT
steel minnow
how do I sketch this?
taking the first derivative, I can not find any zeros of the first derivative
hang on
am i supposed to use natural log
vale wigeon
why don't you show what you got for the first derivative?
steel minnow
i don't know syntax so,
-e^(-x) * sin(x) + e^(-x) * cos(x)
e^(-x) can be factored out
e^x is never zero
can't really figure out where sin(x) = cos(x) without a calculator
vale wigeon
sure you can.
sin(x) = cos(x) is equivalent to tan(x) = 1.
(knowing of course that no value of x that makes cosine vanish could possibly be a solution to this equation, so we really are not missing anything)
alpine sable
A dome of a building is in the form of a hemi sphere. From inside, it was white-washed at the cost of Rs. 4989.60. If the cost of white-washing isRs20 per square meter, find the
(i) inside surface area of the dome (ii) volume of the air inside the dome
(Assume π = 22/7)
tacit arch
A dome of a building is in the form of a hemi sphere. From inside, it was white-...
read #❓how-to-get-help
steel minnow
sin(x) = cos(x) is equivalent to tan(x) = 1.
then I'd have to find tan(x) = 1 using the quadrant method or whatever it's called?
arctan(1) = x
vale wigeon
dunno what "quadrant method" means but arctan(1) is something you should know off the top of your head
steel minnow
i see
limpid moss
could someone help with (ii)
strange meadow
@limpid moss read #❓how-to-get-help
lone heartBOT
@pale merlin Has your question been resolved?
lone heartBOT
@pale merlin Has your question been resolved?
pale merlin
sage vector
lone heartBOT
vale wigeon
well, you know that $\overrightarrow{OD} = \mu \overrightarrow{OB}$ for some scalar $\mu$
ocean sealBOT
Ann
vale wigeon
(you can even say right from the picture that mu is between 0 and 1)
sage vector
oh yeah i can see that
vale wigeon
so you have that (2 - 3λ/2) a + (λ/2) b = μ b
and since you know that a and b aren't parallel, the coefficients must match.
thus 2 - λ/2 = 0 and λ/2 = μ
sage vector
so you have that (2 - 3λ/2) **a** + (λ/2) **b** = μ **b**
oh wait would λ/2 be 3λ/2 or just λ/2
sage vector
all good all good
wait so would it be 2 - 3λ/2 = 0 and λ/2 = μ
what part would show the 2:1 ?
the second half of it where λ = 2μ ?
sage vector
thus 2 - λ/2 = 0 and λ/2 = μ
is the 2 - 3λ/2 equal to zero because there are no coefficients that match the other side
vale wigeon
yes
or i would rather say the coefficient on a on the right is zero
precisely because there is no a term
sage vector
precisely because there is no **a** term
i see i see so would i just have to write 2 - 3λ/2 = 0 and λ/2 = μ and a therefore statement to show the 2:1 correlation?
sage vector
ohh that's it? damn mb mb
tysm for the help i'll try and finish this off !!
.close
opaque coral
echo socket
Cancel 12 and 4
opaque coral
wdym cancel
echo socket
I mean, yeah, unless you want a rational denominator
Then you should have cancelled √2's out
remote knot
can someone expain me vectors im in 8 grade and vectors is really hard like you gotta addd the y and x idk but please help
echo socket
can someone expain me vectors im in 8 grade and vectors is really hard like you ...
If you have a question, post it in an available help channel
remote knot
oh alr
lone heartBOT
soft ore
mellow reef
5 cancels out
its gon be 2^-4
since the exponent is negative
u get reciprocal
4 square is 16
so answer is 1/16
mellow reef
nice
mellow reef
yep
mellow reef
np
alpine sable
how do you make a table of signs??
lone heartBOT
how do you make a table of signs??
alpine sable
In my assignment we were told to get the x intercept of f(x) = x^4-x^3-2x^2
then to put it on table of signs, ive been trying to use yt tutorials but i still dont get how
i am not sure if my answer is correct but i factored it into :
x^2(x-1)(x+2)
i dont know how to put this in the table of signs
also please read this part: is my teacher even talking about this kind of table of signs
this was the instruction "explain table of signs of graphs of polynomial function and behaviour of the graph oh polynomial function using the leading coefficient test"
<@&286206848099549185> help me please
could you explain i dont really get it
what should i put in it
sorry but i dont understand
yea i got x intercepts 0, -1, 2
like this?
(-3) -2 (-1) 0 (?) 1 (2)
alr wait let me put those
like this?
like this???
oh
@sturdy tiger is my interval correct?
?
alpine sable
occupied
lone heartBOT
@alpine sable Has your question been resolved?
alpine sable
@sturdy tiger do i put negative or positive
if the answer is 0?
oh ok
is this correct?
?
where?
the x-1 column?
oh this one
@sturdy tiger
whats next
alpine sable
can you say which test value ?
i cant tell where ur pointing
Squared?
Uh, graphing?
polynomial table of signs
Oh
sorry but can you circle it or something
ok
positive
so far correct?
Am not good in math but . . .
My answer is just too far from truth
2x^2?
Gtg
is that correct?
this?
thnx whats the next step?
sadly school doesnt see it that way
alr thnx man! btw last question
in the yt vids i watched they always said to invert the x intercept you found
for the roots in the table signs
did i have to do that?
or nah
like turn x intercept negative to positive and positive to negative
for it to become roots for the table of signs
its in a different language
so im not sure ull understand
this is the part where he inverts the factors
the factors
of y=
oh i thought u had to do that for the x-intercept
oh alr thnx man
oh ok
thnx again
.close
dire grail
iteration is hard
lone heartBOT
iteration is hard<:OhNo_cat:487646889630760970>
dire grail
i dont know how to get started
dire grail
wdym?
dire grail
ok
wicked dagger
Did you get value of x1 as 1?
thick lynx
Why can an endpoint not be a local extremum?
After the definition of a local extremum, it's f(c) so that f(c) >= or <= f(x) for x in the neighborhood of c and x in the domain of f
thick lynx
If you are at the left endpoint, you could make the neighborhood just values right to c, no?
pallid scarab
It's regarding the definition of a neighborhood
If you take a neighborhood of c, you're gonna have to allow it outside of the domain
thick lynx
If you take a neighborhood of c, you're gonna have to allow it outside of the do...
Why? You can make the neighborhood start at c and only increase
you just dont let it decrease, c is going to be the left endpoint of the neighborhood
pallid scarab
Why? You can make the neighborhood start at c and only increase
But then it's not a neighborhood anymore
alpine sable
Help pls, It's about Functions
thick lynx
But then it's not a neighborhood anymore
Why not?
pallid scarab
Help pls, It's about Functions
#❓how-to-get-help this channel is occupied
pallid scarab
Why not?
A neighborhood of c is so that you can never approach c without getting into the neighborhood
pallid scarab
Why? You can make the neighborhood start at c and only increase
But since you're trying to make the neighborhood start at c, approaching c from under will result in not necessarily getting into the neighborhood
Yep
lone heartBOT
pallid scarab
Np
lone heartBOT
Available help channel!
frigid raven
For G, consider using:
|G|^2 = |HF|^2 + |N|^2
frigid raven
Closed the other one that was left.
nimble stratus
Hey guys can you tell me why the vertex formula is X=-b/2a ?
frigid raven
.close
tidal badge
lone heartBOT
lone heartBOT
@tidal badge Has your question been resolved?
vapid jolt
Hey, how do you solve this for x. I know it is somehow done with the natural logarithm but the 250x is somehow in the way? Does someone know how to solve this?
Thank you
Nikolas
echo socket
Do you know lambert W function?
vapid jolt
No I don't, must it be used to solve this?
echo socket
Yes
Lambert W function is the inverse function of y = xe^x, so W(xe^x) = x
You can use this
Cuz here you get that xe^(-0.5x) = 3/25
-0.5xe^(-0.5x) = -3/50
-0.5x = W(-3/50)
vapid jolt
Ok, and then after what do you do? And is this the only way to solve it, or is there a simpler way=
echo socket
Not without the W
echo socket
Ok, and then after what do you do? And is this the only way to solve it, or is t...
x = -2W(-3/50), that's it
vapid jolt
Ohh wow, that's it. There is no way to determine a distinctive x?
echo socket
What do you mean by distinctive?
echo socket
No, I don't think there's a way to simplify W(-3/50)
untold pollen
This is basic maths, which is kinda humiliating to ask help for, but:
How many 5 digits dumbers can be made with 0,1,2,3,4,5,6,7,8?
9 x 8 x 7 x 6 x 5 right?
untold pollen
assumign you cant reuse a number
echo socket
That would be correct if you could use 0 as the first digit, so no
untold pollen
so 8 x 8 x 7 x 6 x 5 I assume then?
echo socket
Yes
dusk scaffold
lone heartBOT
dusk scaffold
I understand that it’s Pythagoras but when I do 24 squared + 40 squared then square root the answer apparently that’s not it
untold pollen
Not sure if the term in english is good, but 40 is the hypothenuse
rough crown
check which sides are the legs and which is the hypotenuse
dusk scaffold
It's OB^2 + 24^2 = 40^2
Ohhhh
Oh yeah I get it now
It’s a tangent so OB has a right angle
.close
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lone heartBOT
@dire spade Has your question been resolved?
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@dire spade Has your question been resolved?
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@dire spade Has your question been resolved?
static tree
lone heartBOT
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Available help channel!
alpine sable
alpine sable
<@&286206848099549185>
alpine sable
where did i go wrong in my problem solving?
lone heartBOT
where did i go wrong in my problem solving?
alpine sable
what should it have been?
tacit arch
you combine the square root of x terms together first
$a \sqrt{x} + b\sqrt{x} = (a+b)\sqrt{x}$
ocean sealBOT
riemann
tacit arch
so like -1√9x + √x = (-1 + 1)√10x ?
this looks wrong
alpine sable
im confused then
tacit arch
put all the terms of square root x on its own side
tacit arch
how are you getting sqrt(10)?
alpine sable
should i not be adding 9x and x together
tacit arch
$\sqrt{ax} + \sqrt{bx} \neq \sqrt{(a+b)x}$
ocean sealBOT
riemann
alpine sable
so it should just be 2√9x + 2√x = 16
tacit arch
yes
tacit arch
**riemann**
now you have a and b here
alpine sable
now you have a and b here
so do i now add the 9x and x together?
tacit arch
(a + b)^2 is not a^2 + b^2
you did this again
alpine sable
it should be 4√(9x + x) = 16 right
alpine sable
ok
tacit arch
**riemann**
what are a and b here for you to apply this factoring?
once you figure that out, use $(cd)^2 = c^2 d^2$
ocean sealBOT
riemann
tacit arch
umm so it would be 2√9x + 2√x = (2+2) * √16 ? but 16 isnt x
No
alpine sable
where is 16 going in that formula
alpine sable
i hope i do
alpine sable
6√x + 2√x = (6+2)√x ?
ahh i see
thank you for all the formulas
although where was i supposed to use (cd)^2 = c^2d^2? cause i just did 8√x = 16 to get 4
oh well, still thanks for the help though!
.close
full briar
Can someone help me out with this question?
I assume a would be 1
b would be 8
what would f(x) be?
lone heartBOT
Available help channel!
novel lichen
lone heartBOT
novel lichen
. The residents of a 14 meter high apartment building give a party in the shared backyard. Because it is going to rain, they stretch a sail to be able to party dry.
This tarp is attached to the gutter of the flat and the 2 meter high fence at the back of the garden. The sail is 35 meters long. How long is the garden?
Make the drawing on a sheet of paper.
Round to an inch. Give your calculation with this question and a decision.
does anyone know how id do this
how would i do this best
full briar
14 - 2?
novel lichen
35^2-14^2=1029
full briar
a^2 + b^2 = c^2?
full briar
what
novel lichen
my answer is 32.1
so i did
a^2= c^2-b^2
a^2=35^2-14^2
a^2=1029
a=32.1m
would that be the correct answer
full briar
maybe make it a triangle?
novel lichen
so like this then
hold on
i removed 2 meters
from both sides
that would make it
a^2= c^2-b^2
a^2=35^2-12^2
a^2=1081
a=32.88m
is that correct?
thats a difference
<@&286206848099549185>
modest lodge
Yes that looks correct.
novel lichen
so 32.88m would be correct
thank you
A window cleaner should wash a window on the second floor. The ladder must therefore be placed against the wall at 7 m above the ground floor. The base of the ladder should be 1.5 m from the house.
Make the drawing on the sheet of paper and add all sizes.
Calculate how long the ladder should be. Write down the steps to this question. (accurate at 0.01)
so i got this from that text
nvm thats wrong
i think
so
c^2=b^2+a^2
c^2= 7^2+1,5^2
c^2=51.25
c=√51.25
c=7.16m
<@&286206848099549185>
i find it wierd that if the wall is 7m
and it stands 1,5 m away from the wall
how the ladder only needs too be 7.16m
does that mean i did something wrong
i cant find it
daring palm
weary beacon
lone heartBOT
weary beacon
I know I did something wrong just don't know what
tacit arch
I know I did something wrong just don't know what
I don't see any mistakes so far
Just find V in terms of W and maximize. Then plug W into L
pulsar hearth
lone heartBOT
arctic crane
arctic crane
se sabe que = it's known that
calcula = calculate
lusty swift
use the value at 6 to find the first sum but make it so it goes to 5 instead of 6
expand the square in the second sun and tinker with coefficients
so that you’re able to express the third sum up to 5 in terms of the first two sums
and then just add f(6)^2
arctic crane
I did not understand, could you explain it to me on paint or something like that?
Thanks
lone heartBOT
@arctic crane Has your question been resolved?
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@arctic crane Has your question been resolved?
lone heartBOT
@arctic crane Has your question been resolved?
rare spoke
I do not understand this can someone please help thank you
lone heartBOT
I do not understand this can someone please help thank you
median vessel
For no. 6, I am using Gauss-Jordan Elimination in a matrix, but when I try to get the third column into triangle form, both variables cancel out. What do I do?
lone heartBOT
@rare spoke Has your question been resolved?
rare spoke
cool
lone heartBOT
@rare spoke Has your question been resolved?
clever folio
I do not understand this can someone please help thank you
Do you know that cos^2(theta)+sin^2(theta)=1?
You'll basically substitute the stuff you know about sine into this equation and solve for cosine
Since the equation has a square on the cosine you will square root at the end
But recall cos^2(theta)=a tells you cos(theta)=sqrt(a) or cos(theta)=-sqrt(a)
The inequality involving cos(theta) in your problem tells you which one must be true.
rare spoke
Thank you I’ll try this once I can get a healthier state of mind
lone heartBOT
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Available help channel!
bleak needle
i nedd help
lone heartBOT
i nedd help
bleak needle
i need help with balance method and division/multiplication with decimal numbers (im in 7th grade in swed, and im dumb lol) i have a test on this friday
i need someone to explain it to me
hard patio
Post a specific problem you are having trouble with?
lone heartBOT
@bleak needle Has your question been resolved?
bleak needle
Post a specific problem you are having trouble with?
like im having trouble understand the balance methon and division/multiplication with decimal numbers
hard patio
Huh
You mean like
Multiplying 5.66 by 943.45
And dividing
Watch videos online
Try “organic chemistry tutor”
Or “khan academy “
What ever works
bleak needle
uh
no
or yes but not really tho
illk take care of the decimal numbers n stuff
but what about the balance method?
bleak needle
ill take this pic as a example, i basically can really understand this
oh wtf, this pic is the worst tbh
hard patio
That’s just “solving linear equations in one variable”
You will find videos for that too
Really easily
bleak needle
yeah ik, but MY POINT is that i cant understand
hard patio
What do you not understand?
bleak needle
You will find videos for that too
sure
bleak needle
What do you not understand?
i tbh dont understand anything when it comes to math
lone heartBOT
@bleak needle Has your question been resolved?
reef lark
lone heartBOT
reef lark
proving if its associative
a *b = 2(a +b)
2a + 2b
2^-1 •2a + 2^-1• 2b
a=b
a*b = a + b
is this enough to show it is associative?
or it's completely wrong?
echo socket
(a * b) * c = 2(a + b) * c = (2a + 2b) * c = 2(2a + 2b + c) = 4a + 4b + 2c, doesn't seem to be associative
reef lark
so (ab) c and a(bc) should i follow when proving associative
got it got it
thank you
vague coral
a * (b * c) = (a * b) * c
reef lark
how about the identity?
vague coral
a * 0 = 0 * a
reef lark
I'm still confused about identity
reef lark
so the if it's under multiplication it is always e=1? and addition e=0? is it still the same if it's 2n+2?
vague coral
under multiplication, its well known that its 1 (if you are dealing with Q, R, C), under addition its 0 (if Z, Q, R, C)
for matrix, identity matrix under multiplication and null matrix for addition
for function, identity function under composition law, and null function under addition
reef lark
okay okay
is there a source online that i can improve in binary operations, group and abelian group?
almost all in yt are concepts
reef lark
i wish i could T_T
vague coral
in general, a quick google research and you find what you want
At least thats what I do, when im bored
reef lark
it was an assignment, i look up an answers but and conclude them
but not sure it was right
i don't want answers i just want to know if it was right or wrong
vague coral
it is
slow cargo
ABCD is a sqaure, aef = 90°, FE=FB=FC. Find FE\AB
lone heartBOT
ABCD is a sqaure, aef = 90°, FE=FB=FC. Find FE\AB
alpine sable
question
lets say you find out that
x = 1 + 2
when writing an answer and working out on a test, can you write it as
x = 1 + 2 = 3
or do you have to do it like
x = 1 + 2 ∴ x = 3
median oar
it doesn't matter as long as 1 side has x and the other has 3
i personally would write x=3 somewhere below my working and put a box around it to make sure it's clear that is my final answer
alpine sable
it doesn't matter as long as 1 side has x and the other has 3
cool💯 someone told me that it's a bit funky to have multiple '=' in one line, but i dont think it makes the answer any less legible
median oar
you could do it downwards
alpine sable
i personally would write x=3 somewhere below my working and put a box around it ...
ya i normally do so in test, but for homework and stuff im not bothered LOL
alpine sable
you could do it downwards
ya like
x = 1 + 2
x = 3
median oar
x = 1 + 2
= 3
then i'd write x = 3 with a box
well it's mostly implied there's an x on the left side
median oar
yeah, but if there's a lot of intermediate steps you can skip it
and just write x = whatever at the bottom
alpine sable
👍
median oar
just because sometimes the left side can be cumbersome to write
lone heartBOT
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Available help channel!
marsh coral
How to find angle CBD?
lone heartBOT
@marsh coral Has your question been resolved?
drifting beacon
BP=DP
marsh coral
so isos triangle and angle sum of triangle
drifting beacon
true
rotund forum
A student council consists of 15 members.
If the committee of 6 needs 2 co-chairs (picked from within the committee). How many different ways can the student council form a committee of 6 with co-chairs?
rotund forum
<@&286206848099549185>
lone heartBOT
@rotund forum Has your question been resolved?
alpine sable
have you been taught about combinations in school ?
to find out in how many ways the 6 comitees can be found, do the combination $\binom{15}{6}$ - then multiply that with the number of ways in which co-chairs can be found - $\binom{6}{2}$
ocean sealBOT
trololol !
rotund forum
to find out in how many ways the 6 comitees can be found, do the combination $\b...
But that answer would be decimals?
rotund forum
15*6= 90
6 * 2= 12
90/12= 7.5
alpine sable
15*6= 90
6 * 2= 12
90/12= 7.5
that's not how combinations work
were you taught combinations in school ?
rotund forum
Yes I thought we multiply
ocean sealBOT
trololol !
rotund forum
So 15 is n?
alpine sable
if you want i can also prove why the formula is this, but it's quite long
rotund forum
I see then I would have to make a another one and multiple?
alpine sable
yes
rotund forum
Okay I see
alpine sable
because \textbf{for each} $\binom{15}{6}$ combination you have a $\binom{6}{2}$
ocean sealBOT
trololol !
alpine sable
for each
rotund forum
I got 75075 @alpine sable
rotund forum
.reopen
lone heartBOT
✅
lone heartBOT
@rotund forum Has your question been resolved?
lone heartBOT
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Available help channel!
hexed trellis
hi! i am not sure how to answer this, i have managed to isolate x and have the expression X = C * (A + B^-1)ˆ-1 and not sure what to do next
surreal vapor
I'm not sure i understand correctly, but you should be able to just calculate the matrix X now, since you know A,B and C 🙂
hexed trellis
but how do i simplify the bracket?
surreal vapor
I would calculate whats inside the parenthesis first. 1. Find B^-1. 2. Calculate (A+B^-1) 3. Find the inverse of the matrix (A+B^-1) 🙂
hexed trellis
ok! thank you 🙂
median osprey
Pls help
surreal vapor
Pls help
w+(2w+5)+4w > 61. Then find out the smallest value of w for this inequality to hold. (It ends up being 7w+5 > 61 which means w > 8.
median osprey
w+(2w+5)+4w > 61. Then find out the smallest value of w for this inequality to h...
Wow thanks alot, I really struggled on this question, math isn't my strong side
lone heartBOT
echo socket
Have you tried using Pythagorean theorem?
stiff axle
I want to know, what the length of x and x-3 is and I have only 65 square
hard patio
pythagorean theorem
stiff axle
Have you tried using Pythagorean theorem?
How? -/x² + (x-3)² ?
echo socket
x^2 + (x - 3)^2 = (sqrt65)^2
dim oasis
$x^2 + (x-2)^2 = (\sqrt{65})^2$
ocean sealBOT
lexitorius
echo socket
**lexitorius**
Where's x-2 coming from?
stiff axle
I think it was a typing mistake
alpine sable
lone heartBOT
tacit arch
what's 2/2 ?