,w factor (4x^4-25x^3+16x^2-9)
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long arrow
wraith daggerBOT
cedar kilnBOT
cedar kilnBOT
Available help channel!
zenith warren
I need help with some BODMAS or PEDMAS for some people
202 + 4 × 9 - 8 - 16 + 9 - 4 =?
I'm really confused, could someone explain how to get the final answer?
BODMAS I understand but I got
202 + 4 × 9 - 8 - 16 + 9 - 4
=202 + 36 - 8 - 16 + 9 - 4
202 + 36 - 8 - 15 - 4
=238 - 8 - 15 - 4
=230 -15 - 4
= 215 - 4
= 21
dusk finch
The problem was in this step:
=202 + 36 - 8 - 16 + 9 - 4
=202 + 36 - 8 - 15 - 4
You combined -16+9 to -15
which is incorrect
zenith warren
oh? so it takes a away the minus sign?
dont i leave the sign since it was infront if the 16
dusk finch
Can you work with negative numbers?
If not start doing it from left to right
so do 202+36 then -8 then -16 then +9 then -4
zenith warren
i can work with negative but doesnt if i do it that way wont it not use bodmas?
tropic oxide
it's not P>E>M>D>A>S, it's P>E>(M=D)>(A=S)
zenith warren
oh sorry i havent learnt that part of bodmas then mb
tropic oxide
it is most likely a consequence of it being taught badly rather than you not having learned it properly.
steel flare
can anyone help me in understanding preturbation here in this article, (in the section Backpropagation through a weighted sum) how this equation came, I have given the article as well as the link below
steel flare
ds[0]=w[0]⋅dz
https://atcold.github.io/pytorch-Deep-Learning/en/week02/02-1/
@steel flare Has your question been resolved?
steel flare
No
cedar kilnBOT
@steel flare Has your question been resolved?
cedar kilnBOT
@steel flare Has your question been resolved?
flat haven
cedar kilnBOT
flat haven
i cant use u v integration
the question is,
integrate this using reverse chain rule
and ive been staring at this for quite a while now
the answer is tan^3(x)/3 +c
but like
inland roost
what is uv integration?
inland roost
oh i see
cedar kilnBOT
cedar kilnBOT
Available help channel!
fierce mason
The Commutative property doesn't apply to subtraction, but 6 - 3 = -3 + 6
copper crest
6-3 ≠3-6
gleaming cloud
The Commutative property doesn't apply to subtraction, but 6 - 3 = -3 + 6
Thats addition
copper crest
This what they meant
gleaming cloud
Of 6 and -3
copper crest
Or maybe -3--6≠-6--3
cosmic steppe
The Commutative property doesn't apply to subtraction, but 6 - 3 = -3 + 6
6 - 3 is the same as 6 + (-3)
You had to change the operation from - to +
Commutative's whole purpose is to preserve the operation
fierce mason
Commutative's whole purpose is to preserve the operation
ah, ok
copper crest
6 + (-3) isn't -3 + 6?
It is
fierce mason
Commutative's whole purpose is to preserve the operation
The commutative property feels a lot more complete knowing I can swap the operation, easier to remember for me
cosmic steppe
Well the property austerely states that:
a + b = b + a
Only for addition (and multiplication) as far as I'm concerned with basic operations
Because:
a - b = -(b-a)
But that isn't commutative
fierce mason
But that isn't commutative
I'd say it is?
fierce mason
Basically I mean a + (-b) = - b + a
Because subtraction is based on addition it works?
fierce mason
I know it's sort of a manipulation, it's indeed not what it basically wants to explain
cosmic steppe
well here
2 - 3
We can manipulate that so a = 2 and b = -3
And both 2 and -3 are real numbers so we can easily apply communicative
You're arguing that a-b can be communicative because a + -b, but then you're introducing the -b which complicates things
You can think of that as -1 • b
A nonunit multiplier
fierce mason
You're arguing that a-b can be communicative because a + -b, but then you're int...
I'm introducing the subtraction to the communitative property I thought
fierce mason
You can think of that as -1 • b
good point
cosmic steppe
I'm introducing the subtraction to the communitative property I thought
Well yeah that's what you're trying to do but then you're introducing a new operation as collateral
And it fails to persevere the operation
What you COULD say though
fierce mason
Well yeah that's what you're trying to do but then you're introducing a new oper...
Let's say I'm fine with that as long as it works, although it may not be correct
fierce mason
And it fails to persevere the operation
I'm not sure, subtraction is based on addition, I first need further research
cosmic steppe
Is that if $(a,b) \in \bR$, then $a+b = b+a$ and you can go from subtraction to addition since it satisfies that condition
wraith daggerBOT
Umbraleviathan
fierce mason
That's the question, yeah
cosmic steppe
Well then it's taken care of with the statement:
$$(a, b) \in \bR$$
wraith daggerBOT
Umbraleviathan
fierce mason
Thanks for your help, I'll will do some more reasearch, I'm open to find some completly different answer 🙂
cosmic steppe
You don't need to do a + -b = -b + a with that condition
fierce mason
You don't need to do a + -b = -b + a with that condition
Oh, finally, the commutative property is only for natural numbers defined?
I'll be back later
cosmic steppe
Oh, finally, the commutative property is only for natural numbers defined?
N is a subset of R
So yes
But it works for all numbers in R
cedar kilnBOT
@fierce mason Has your question been resolved?
cunning bronze
Can i get some help on my math homework? Its Interpret Linear Function Equations
rotund fox
cunning bronze
whats this
?
oh
my bad
can someone help me understand how to do this homework please?
:/
rotund fox
can someone help me understand how to do this homework please?
What homework
cunning bronze
this:
do i add them together?
or?~
i was sick so i had to miss some classes this week and the power points the teacher gave me arent really making sense tbh
actually.. give me a minute i got an idea-
.close
sly canopy
cedar kilnBOT
runic garnet
Show ur work
sly canopy
i tried simplying by (x2+6x+h- x2 + 6x)h
i got rid of the x`"
x^2
then 6x+6x = 12x
and u cant get rid of the h right?
runic garnet
It’s not easy to understand when typed liked that, could u send a picture or use latex
runic garnet
No that’s not how u do it
sly canopy
okay
runic garnet
Lemme give u an example
runic garnet
Without simplifying anything, what would f(5) be equal to
sly canopy
5^2 + 6(5)
sly canopy
20^2+6(20)
sly canopy
s^2+6(s)
sly canopy
(s+2)^2+6(s+2)
runic garnet
Yes!!!!
How about f(x+h)
Don’t let the x+h confuse u, it’s just like everything else
runic garnet
Xd
Ok
So now we have f(x+h)
Now trying setting up the difference quotient with that in mind
Also when it’s -f(x) in the numerator, keep parentheses around the f(x)
runic garnet
(x+h)^2 + 6(x+h)
Remember we got this for f(x+h)
Just plug that it in there without simplifying anything and we can take it from there together
wraith daggerBOT
Stephen
sly canopy
expand (x+h)(x+h)
sly canopy
x^2 + hx + hx + h^2
sly canopy
2hx
runic garnet
Good so now let me write it out
Now we have
$\frac{x^2 + 2hx + h^2 + 6x+6h -x^2 - 6x}{h}$ do u agree?
sly canopy
we expand the 6(x+h) to 6x+6h?
sly canopy
yeah
runic garnet
Now how do we simplify -(x^2 + 6x)
sly canopy
-x^2 -6x
runic garnet
Good
wraith daggerBOT
Stephen
runic garnet
Now, simplify the entire numerator by combining like terms
runic garnet
Good
Try simplifying from there
Hint, take out the common term from the numerator
obtuse sable
yes
sly canopy
so the answer will be 2hx + h + 6h
obtuse sable
No
sly canopy
2hx + 7h
obtuse sable
The entire numerator is divided by h
wraith daggerBOT
Whatever🎄
sly canopy
that equation I know
runic garnet
Ok so see how each term has an ‘h’ in the numerator
obtuse sable
You dont have to do this step, but essentially each term is divided by that h
sly canopy
so we divide all h and get 2x+h+6
runic garnet
Yes
obtuse sable
Yep
runic garnet
Cool
obtuse sable
And thats simplified
sly canopy
thank you so much!
runic garnet
Np
crimson sedge
cedar kilnBOT
crimson sedge
Can you find what E is?
crimson sedge
Can you find what E is?
75 degrees?
obtuse sable
Not exactly
crimson sedge
Not exactly
Aren't they vertically opposite?
crimson sedge
Not exactly
why not?
crimson sedge
75 degrees?
but yes
it is 75
now that you know that the line AB would be making an angle of 180 totally
Wait so y should be 50? @crimson sedge
crimson sedge
Wait so y should be 50? <@456226577798135808>
I forgot what those angles are called, but i remember that they are equal
So you have 20 + 75 + z = 180 with z being the third angle in that triangle
recover what z is
crimson sedge
Wait so y should be 50? <@456226577798135808>
But is this right though
crimson sedge
Wait so y should be 50? <@456226577798135808>
sounds about right
cedar kilnBOT
@crimson sedge Has your question been resolved?
hushed yarrow
How do I answer these
cedar kilnBOT
How do I answer these
hushed yarrow
clear berry
which question do you want to solve?
hushed yarrow
i have to solve all of them, I'm starting calc soon and this a practice quiz. I am literally super low level math
So i have like no idea what im doing, not even joking
hushed yarrow
okay
clear berry
Do you know what slope of a line means?
hushed yarrow
y = mx +b?
clear berry
no, that's the slope intercept form
hushed yarrow
oh
clear berry
The slope of the line kinda means the steepness of the line
Like thing about how steep mountains are harder to climb
hushed yarrow
yea
clear berry
Or steep roads are harder to drive upwards
That steepness can be measured using slope
Mathematically, it is the amount the by which the value changes which input is changed linearly
so, say you go from (x1, y1) to (x2, y2)
hushed yarrow
okay
clear berry
The slope is (y2 - y1)/(x2 - x1)
Try using this formula to get the slope of the line mentioned in question 2
clear berry
How did you get 10/6?
clear berry
13 - 3 is 10 and so is 8 - (-2) right?
clear berry
yep
hushed yarrow
answer is a
wraith daggerBOT
numbpy
clear berry
notice here, in the numerator we have x inside a square root
To remove this square root we multiply by it's conjugate, this is called rationalisation
Do you understand what a square root is?
hushed yarrow
yea its the symbol after the 8
clear berry
As in, what does it do and its properties
hushed yarrow
its like the square root of a number would equal what 2 numbers multiplied by eachother equal it
so for example square root of 36 is 6
because 6 times itself is 36
clear berry
yes, in particular it is the inverse of a square
Which means square of root and root of a square gives back what we started with
$\sqrt{x^2} = x$ and ${(\sqrt{x})}^2 = x$
hushed yarrow
makes sense yep
wraith daggerBOT
numbpy
clear berry
and do you know that (a + b)(a - b) = a^2 - b^2
clear berry
Then everything is set
You multiply but the conjuate of the numerator
it's like the numerator just with 1 sign reverse
For the numerator 8root(x) + 27, you multiply with 8root(x) - 27
hushed yarrow
so then the answer would be a right?
clear berry
answer would be a right meaning?
clear berry
yes
hushed yarrow
ah i see
clear berry
generally we rationalise the denominator but it's the same principle with numerator
hushed yarrow
for question 3 do i need to plug a value in as "t"?
because it says 3 minutes, and t represents minutes
clear berry
clearly not cause t is in minutes and s is in m so it would be wrong
Let's do 4 and 5 first
For 4, we need to find $\lim_{x \rightarrow 4} 5$
wraith daggerBOT
numbpy
hushed yarrow
i havent learned limits
clear berry
alright, so, limit is the concept of how a function behaves close the the limit point
easiest example is 1/x
for x=0, this is not defined
cause that would be 1/0
hushed yarrow
and 0 cant be a denomenator
clear berry
BUT what would happen if we can go very very very close to zero but not exactly 0
,w plot 1/x
wraith daggerBOT
upbeat lotus
<@&268886789983436800>
clear berry
thanks
upbeat lotus
Continue
clear berry
So, as you can see when you go close to 0, 1/x becomes larger and larger
clear berry
in the limit we say that it goes to infinity, written as
clear berry
$\lim_{x \rightarrow 0} \frac{1}{x} = \infty$
wraith daggerBOT
numbpy
hushed yarrow
oh nvm lol.. didnt look like that
clear berry
**numbpy**
This is a subtle technicality here but we won't go there for now
alright, notice the question is a bit weird it doesn't have the variable
hushed yarrow
what does the number below the "lim" represent
is it like what you cant cross but are approaching in the graph
clear berry
That's the variable, in general x->a symbol means that the variable x approaches a
hushed yarrow
got it
clear berry
alright, notice the question is a bit weird it doesn't have the variable
Did you see it
hushed yarrow
yea there is no x in the denom
clear berry
$\lim_{x \rightarrow 4} 5$
wraith daggerBOT
numbpy
clear berry
yea there is no x in the denom
more like no variable on the right hand side
Take a guess as to what the answer would be
clear berry
but notice there is no x on the right
upbeat lotus
what does the number below the "lim" represent
Like it's the same as plotting the x value to a function and getting the y value but sometimes there are not "well defined" y values for a function like as you have seen lim x to 0 (1/x) is not defined but still it is infinity cause it approaches the value of infinity but it is not exactly infinity also if I say that what's lim x to 5 (x²) gives us we will just plot 5 in x² and that will give 25 it's just like f(5)=x² where f(x)=x² but it's just a way to imagine it
hushed yarrow
or 5 because thats the limit
upbeat lotus
because its approaching 4
$\lim_{x \to 4} 5x^0$
wraith daggerBOT
Arnab
upbeat lotus
Now can you imagine it?
hushed yarrow
uhhh not gonna lie im not sure
clear berry
or 5 because thats the limit
It would be 5 cause even though there is nothing that will actually go to 4
There is NO x in the right hand side
upbeat lotus
Well when you have a constant given in a limit then you assume there is a variable and the power of that variable is 0 it will ultimately give you the constant
clear berry
if instead it was $\lim_{x \to 4} 5x$
wraith daggerBOT
numbpy
clear berry
Then it would give 5*4 = 20
But there was NO x in the function (the right hand side)
hushed yarrow
yea
clear berry
Did you understand
clear berry
yes, if instead it was $\lim_{x \to 4} 5x^2$
wraith daggerBOT
numbpy
hushed yarrow
20 ^ 2 then no?
clear berry
it would be 5 * 4^2
clear berry
yes
hushed yarrow
i gotcha
clear berry
think about it in this way, the 5 part is CONSTANT
it simply can't be changed, IT IS WHAT IT IS
hushed yarrow
okay
clear berry
should we move to question 5
hushed yarrow
yea
clear berry
Maybe try it on your own and think would be the answer
It's simple enough just looks weird
upbeat lotus
In short
$\lim_{x \to c} (a×f(x))=a×\lim_{x\to c}(f(x))$where c and a are constant
wraith daggerBOT
Arnab
hushed yarrow
okay ill try 5 on my own, can you help me with 3
clear berry
3 is slightly more difficult
hushed yarrow
for 5 im plugging in the 5 as x
clear berry
you're given s(t) = 4t^2 and s is the distance is metres
clear berry
that looks correct
anyway, what is asked in Q 3 is the rate of at which avalanche is moving
basically velocity
clear berry
for that you need to find the derivative of s(t) wrt t
yeah
But I am guessing you're not familiar with it are you?
hushed yarrow
no im not
ionic sorrel
clear berry
well, the derivative of a function f at a is this thing -
$f'(a) = \lim_{h \to 0} \frac{f(a + h) - f(a)}{h}$
wraith daggerBOT
numbpy
clear berry
There's a lot to unpack but first thing to notice is that this is literally the definition of slope
let y1 = f(x) and y2 = f(x+h), then
$f'(a) = \lim_{h \to 0} \frac{f(a + h) - f(a)}{h} = \lim_{h \to 0} \frac{y2 - y1}{(a + h) - h} = \lim_{h \to 0} \frac{y2 - y1}{x2- x1}$
wraith daggerBOT
numbpy
clear berry
The most important difference is that the difference between x1 and x2 approaches 0
Geometrically, this thing goes from a secant between 2 points to a tangent at a point
hushed yarrow
okay
clear berry
and this derivative gives the instantaneous slope of any given function
In practice you just need to remember some of the rules of the derivative
first is that the constant is always constant and can be taken out
$\frac{d}{dx} a f(x) = a \frac{d}{dx} f(x)$
wraith daggerBOT
numbpy
wraith daggerBOT
numbpy
clear berry
The question essentially boils down to finding this derivative wrt to t
ie $\frac{d}{dt} 4t^2$
wraith daggerBOT
numbpy
clear berry
Use the above rules to find the answer
upbeat lotus
@hushed yarrow I could help you in this three questions
hushed yarrow
yea please
upbeat lotus
In which part you need help in
hushed yarrow
all 3 loll
upbeat lotus
Are you familiar with rationalisation
upbeat lotus
It's like
$√2/√3=(√2×√3)/(√3×√3)$
wraith daggerBOT
Arnab
hushed yarrow
okay
upbeat lotus
like i just learned an idea of it
Like we can rationalise the denominator to simplify the expression
Especially when we find square roots in it
Also sometimes we could find the exact value of the square root fraction
Are you familiar with complex numbers?
hushed yarrow
uhh no i dont think so
upbeat lotus
We can sometimes find the real part of complex numbers by using rationalization but not in all cases
upbeat lotus
uhh no i dont think so
Well alright I already told 3 advantages of it so you can write it in your own words
In the second question I don't think so you would have a problem to graph
,w plot (x-6)/(2+x)
wraith daggerBOT
hushed yarrow
Well alright I already told 3 advantages of it so you can write it in your own w...
wait what are they?
upbeat lotus
wraith daggerBOT
The current time for 𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛 is 12:17 AM (IST) on Sat, 04/02/2023.
cedar kilnBOT
@hushed yarrow Has your question been resolved?
cedar kilnBOT
@hushed yarrow Has your question been resolved?
sonic thistle
I have school tomorrow
on saturday?
hushed yarrow
lol
sonic thistle
i think you should open another help channel with your exact question
and only 1 question
cedar kilnBOT
@hushed yarrow Has your question been resolved?
cedar kilnBOT
@hushed yarrow Has your question been resolved?
hushed yarrow
.close
ebon solstice
what’s the problem
obsidian coral
Wdym by this?
faint stag
For this,
Can I make u= 9x + 5?
cedar kilnBOT
For this,
Can I make u= 9x + 5?
short blade
cedar kilnBOT
@faint stag Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
whole portal
suppose that there are 4 boys and 2 girls sitting in a row
cedar kilnBOT
suppose that there are 4 boys and 2 girls sitting in a row
whole portal
how many possible combinations are there such that the girls are exactly one seat apart from each other?
case 1:
~(B)~(B)~(B)~(B)~
5 possible slots
5 entities existing (4 boys & [2 girls])
take 5C2 to find the number of ways to pick 2 slots out of 5, then permute the girls by taking 2!, then rearrange the boys by taking 4!
whole portal
case 1:
~(B)~(B)~(B)~(B)~
5 possible slots
5 entities existing (4 boys & [2 gi...
I tried this but it’s probably wrong
muted bear
I think it would be easier if you start with _ _ _ _ _ _ and placing the girls first
whole portal
there are many ways to placing the girls though
muted bear
You sure?
whole portal
never mind not a lot I guess
_ _ _ _ _ _
G _ G _ _ _ _
_ G _ G _ _
_ _ G _ G _
_ _ _ G _ G
muted bear
The first one has an extra seat
But yeah only 4 cases, all relatively the same, so the math works in our favor
How many ways can the girls be arranged in the seats?
Just pick one case for now
whole portal
okay
I choose thee 3rd case
okay so hmm
there are 4 seats left
and 4 guys left
so erm
4C4?
then I multiply it by 4?
whole portal
How many ways can the girls be arranged in the seats?
yeah there’s only 4 ways right
whole portal
then I multiply it by 4?
then I 4! to permutate the guys
and 2! to permutate the girls?
muted bear
Yup
whole portal
Yup
and for such that the girls are exactly two seat apart from each other
so either
G~-G~-
or ~-G~-G
or ~G~~G~
so, 4C4 * 3 * 4! * 2! ?
oops the lines
muted bear
sounds right
whole portal
sounds right
halp
whole portal
`_ _ _ _ _ _`
`G _ G _ _ _ _`
`_ G _ G _ _`
`_ _ G _ G _`
`_ _ _ G _ G`
@gilded elm diagram as in like this thing?
cedar kilnBOT
@whole portal Has your question been resolved?
cedar kilnBOT
@whole portal Has your question been resolved?
cedar kilnBOT
@whole portal Has your question been resolved?
wheat pagoda
case 1:
~(B)~(B)~(B)~(B)~
5 possible slots
5 entities existing (4 boys & [2 gi...
G B G B _ B _ B _
_ B G B G B _ B _
doing it you will have 4 x 2! possibilities
and you do the permutation of the boys too
4!
cedar kilnBOT
@whole portal Has your question been resolved?
cedar kilnBOT
whole portal
oh okay thx
cedar kilnBOT
Available help channel!
split briar
Can someone explain this symbol in cs? There's litererally no explaination for it and is just used
split briar
and the definition they use in the text makes it look like it does nothing
fair geyser
that's the intention yes
for any x, ◇(x) keeps it x
unless () means something
so it's (x) instead
fair geyser
if the parentheses around (x) mean something it does the wrapping of x in ()
i can't see if they talked about the ()
or it does nothing
i can't decide which is more likely
50/50
cedar kilnBOT
cedar kilnBOT
Available help channel!
hollow sleet
A cup of ice cream was sold at ₹26 find the original cost of the ice cream if the cost includes 15% GST and ₹3 other expenses.
hollow sleet
anyone
earnest pollen
let X be the cost of the ice cream try and write this as an equation and solve for X
hollow sleet
let X be the cost of the ice cream try and write this as an equation and solve f...
already tried
earnest pollen
what did you get
hollow sleet
<@&286206848099549185>
hollow sleet
what did you get
3.9
half forge
<@&286206848099549185>
!15m
cedar kilnBOT
<@&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.
nimble veldt
already tried
then show your work
hollow sleet
then show your work
i am on lapto
p
15% of x = 26
x = 26*100/15
I don't understand pls gimme solution
nimble veldt
where are the "3 other expanses"?
hollow sleet
where are the "3 other expanses"?
what?
cedar kilnBOT
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
jaunty mural
We do not give answers.
hollow sleet
We do not give answers.
i don't have this in homework I tried it earlier
hollow sleet
Doesn't matter
ur rude
hollow sleet
Demanding solutions is rude.
I have already tried it now i am tired
is the answer 20?
weak python
I have already tried it now i am tired
take a break and come back
nimble veldt
I have already tried it now i am tired
then go sleeping and come back if you are not tired.
hollow sleet
then go sleeping and come back if you are not tired.
Bro just help me
hollow sleet
yes i know it
nimble veldt
Bro just help me
i am not your bro.
weak python
and what make the price up to 26?
the orignals price
and
the 15% of the original
and
the $3
so try to sum it up
hollow sleet
make an equation
already done
weak python
I DONT HAVE THET EMOJI
weak python
already done
and what do u have?
hollow sleet
and what do u have?
wait let me check it in the notebook
jaunty mural
where are the "3 other expanses"?
^
The equation you wrote doesn't include the $3 mentioned
hollow sleet
19.1
weak python
( original price ) + ( 15% of original price ) + ( expense ) = 26
try to replace those word with
number
hollow sleet
hollow sleet
but the answer given by teacher is 20
hollow sleet
what is this
is this wrong
hollow sleet
so how to make it right
weak python
so how to make it right
15% taxes right?
hollow sleet
@jaunty murali have the equation now help me rude
hollow sleet
15% taxes right?
yeah
weak python
so what does the tax affect on?
hollow sleet
Goods service tax
hollow sleet
so what does the tax affect on?
tax will be added to original price
hollow sleet
and 3 other expenses
hollow sleet
15% of ???
x
weak python
correct
hollow sleet
but it say 1/80 now
weak python
no
weak python
💀 bro just finish your work
hollow sleet
💀 bro just finish your work
can we have a video call
weak python
JUST FINISH YOUR WORK
odd snow
what is the question
hollow sleet
JUST FINISH YOUR WORK
#rule 1 : capital words on internet means ur shouting on next person
hollow sleet
what is the question
A cup of ice cream was sold at ₹26 find the original cost of the ice cream if the cost includes 15% GST and ₹3 other expenses.
Answer : ₹20
odd snow
so we can think like this:
there is a cup of ice cream that costs x originally
without anything
hollow sleet
yeah
odd snow
if you add %15 taxes, x*15/100 right?
that is the tax
x*15/100
15/100=%15
you know this i assume
hollow sleet
hm
hollow sleet
already know it
odd snow
okay any problem finding the tax?
hollow sleet
okay any problem finding the tax?
yeah
odd snow
now we add the tax to the original price
hollow sleet
calculation problem
odd snow
calculation problem
where
odd snow
okay
can you understand what im saying
we found the tax
x*15/100
any problem here?
did you get it
x is the original price
hollow sleet
fine
odd snow
everything good by here?,
hollow sleet
yes thanks
odd snow
okay then, we add the tax into the price now
hollow sleet
.close
cedar kilnBOT
hollow sleet
can you do the rest?
thanks for ur help
cedar kilnBOT
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jagged charm
How to Prove that if $p$ and $p^2+8$ are prime, then so is $p^3+8p+2$?
wraith daggerBOT
Pierre de Fermat
crimson delta
mod 3
cedar kilnBOT
@jagged charm Has your question been resolved?
crimson delta
look at p^2+8 mod 3
crimson delta
if p=0,1,2 mod 3, what is p^2+8 mod 3
jagged charm
If p=0 than p²+8\equiv{-1}(mod 3)
Cause 8=3×3-1
If p=1
We've 9\equiv{0}(mod 3)
If p=2
We've 12\equiv{0}(mod 3)
Is that correct?
cedar kilnBOT
@jagged charm Has your question been resolved?
cedar kilnBOT
https://i.gyazo.com/22b3a2c4a86d98273ba9685205699458.png
wild belfry
I know that e) isnt valid but they want me to find the appropriate assignment of truth values to make it valid
Is there any way to do this other than trial and error? Cause theres 4 truth values so this would take up a lot of time in an exam just testing them all
like I would need to test every combination of positive and negative for each truth value...
gilded elm
get rid of everything that doesnt involve p and s
oh theres nothing to get rid of
whoops
cedar kilnBOT
@wild belfry Has your question been resolved?
wild belfry
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abstract vapor
what do i do if i calculated slope and i got m=12.5/0?
cedar kilnBOT
what do i do if i calculated slope and i got m=12.5/0?
abstract vapor
sure
half forge
what do i do if i calculated slope and i got m=12.5/0?
is means two points has the same x coordinates so it's a line perpendicular to the x-axis (not a function, like jester said)
wraith daggerBOT
half forge
there's no slope tho, is there?
crimson delta
checks out
vertical line
well assuming you have all the coordinates of the points correctly
half forge
yeah
cedar kilnBOT
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crimson sedge
cedar kilnBOT
long arrow
solve each one, then take an intersection
crimson sedge
Done it
latent bloom
What is the issue with the question?
crimson sedge
I'm getting a different answer=I'm doing something wrong and I can't tell what it is
long arrow
don't mind showing work?
long arrow
well, x > -1/5 for the 1st one is ok
crimson sedge
Aight
long arrow
thing is
long arrow
you factored trinomial incorrectly
crimson sedge
cedar kilnBOT
crimson sedge
I'm in a pinch here, i can not figure this out
runic garnet
Wat u tryna do
crimson sedge
Get the ?
crimson sedge
runic garnet
How does the image above relate to ur first image?
runic garnet
Oh I see it now
Do u know about angle bisectors of squares
ABCD is a square, so the lines that connect opposite corners bisect the angles as well
meaning the angle of 90 degrees is split into two 45 degree angles
runic garnet
sure np
cedar kilnBOT
@crimson sedge Has your question been resolved?
woven zephyr
i have this question for homework and am stuck at the first part of b. how would you approximate required work with a riemann sum here?
woven zephyr
the part that i'm having a problem with is the lim(n->inf) part. i understand why the top is .3x_i*dx because of the .3 lb/ft, but i don't understand how i'm supposed to get that part of the question for half the rope to the top
mighty drift
you're pulling half the length
the notation xi is weird to me because they're defined nowhere
woven zephyr
it's visualized like this for a similar problem, x_i is a point within the change of x
mighty drift
I know
what formula
xi should depend on n (as well as delta_x), which makes this notation very bad imo
woven zephyr
well this is how it explained to get the lim(n->inf) part earlier, this was for a 200-lb cable that's 100 ft long
mighty drift
still doesn't define xi
woven zephyr
all it says is divide the cable into small parts with length delta_x and that x_i is a point in the ith such interval
mighty drift
so you never saw an actual definition of xi with a formula ?
woven zephyr
this is what's given, equation 2 is just W = Fd
mighty drift
so xi is simply the number that works
mighty drift
i have this question for homework and am stuck at the first part of b. how would...
so this trivially the sum of the 0.3 xi
because it works
woven zephyr
i don't know what you mean
this is all the book has given me up to this point to solve this problem
mighty drift
so this trivially the sum of the 0.3 xi
does that work ?
if it was reusing the xi from the previous question, I'd say it's 0.3 * (30 + xi/2)
but since they didn't specify whether xi changes between questions because they never defined it, I can't know
and that's why you always define things in math rather than handwaving it. Otherwise you get crap questions like this
woven zephyr
if it helps at all they want the integral you find from the limit in part b to be from 0 to 30
mighty drift
oh right
but still
I don't know what xi is
so I can only guess what the expected answer is
mighty drift
but since they didn't specify whether xi changes between questions because they ...
can't answer a question in terms that I do not know. That's the problem
cedar kilnBOT
@woven zephyr Has your question been resolved?
cedar kilnBOT
crimson sedge
how do i get a graph of the curved sides exeact position
or an angle of the curved sides exeact position
on both
<@&286206848099549185>
nimble veldt
can you explain a little bit more, what you need?
crimson sedge
well i want to draw the angle but in scale
the curved side
and for that i for me to accuratly do that i'd need to know how it bends
cedar kilnBOT
@crimson sedge Has your question been resolved?
orchid jewel
A box contains 3 different formats of shaped elastics
circular.
The perimeters of each format are 12 cm, 20 cm and 25 cm. THE
weight of rubber bands are proportional to their perimeters.
In the box, the total weight of the rubber bands of each format is
27g. Each rubber band weighs less than 1g, but more than 0.3g.
How many 12 cm rubber bands are there in this box knowing that there are more than 100 rubber bands in total? How can I find the weight by the peremeter?
cedar kilnBOT
A box contains 3 different formats of shaped elastics
circular.
The perimeters o...
@orchid jewel Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
crimson sedge
Need help
cedar kilnBOT
cedar kilnBOT
Available help channel!
true spindle
cedar kilnBOT
true spindle
a: there are two distinct students who have asked all faculty members a question
is that right?
wicked brook
shouldnt it have something to do with: if one has asked a staff member, so has the other?
true spindle
wait
crimson sedge
yeah nvm
true spindle
the biconditional is kinda confusing me
wicked brook
how was the biconditional defined for you
true spindle
so its: there are two distinct students who if one has asked asked a faculty member a question then the other has also
wicked brook
i think that is the correct answer
Cause its like
Staff member implies (A(x,y) if and only if A(y,z))
true spindle
yes yes
this feels right
aight i think i have the second one translated to logic but i need to figure how to use the latex boy
bot*
,help
wraith daggerBOT
A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!
true spindle
,list
wraith daggerBOT
crimson sedge
yeah i got same
true spindle
aight thanks
crimson sedge
$\forall z \exists x \exists y :(S(x) \land S(y) \land x \neq y \land (F(z) \implies (A(z, x) \land A(z, y))))$
true spindle
aight i gotta go eat but i will have more questions for yall in like 30
thanks again
.close
wraith daggerBOT
Jester
wary estuary
Not really a "help" question, but I just realized I'm having trouble doing basic arithmetic with exponents in algebra, where can I improve this?
cedar kilnBOT
Not really a "help" question, but I just realized I'm having trouble doing basic...
@wary estuary Has your question been resolved?
gilded elm
,tex \factoid original
wraith daggerBOT
cedar kilnBOT
@wary estuary Has your question been resolved?
native shuttle
cedar kilnBOT
native shuttle
how can i approach this question
grand forge
how can i approach this question
Simultaneously
livid hound
use the given info and set up a system of equations
the first step would be to first find f'(x)
native shuttle
i have that
and i plugged in the values for f'(-1) and equated the derivative to 12
and got a+b =4
maybe i can try a = 4-b
livid hound
and got a+b =4
how are you getting that
native shuttle
livid hound
you didn't manipulate your equation properly