#help-23
safe radishBOT
hybrid wren
How do I solve question 10
quasi bison
do you know how to subtract fractions in general?
hybrid wren
do you know how to subtract fractions in general?
Yes I do
If the denominator is same just subtract
And if not
Find the LCM and do the same to the numerator and minus
@quasi bison
quasi bison
ok great
then convert both of these mixed fractions into improper fractions, then subtract them as you normally would
then, if desired, convert the result back into a mixed fraction
hardy lion
Yup
safe radishBOT
@hybrid wren Has your question been resolved?
coarse birch
Ask question
safe radishBOT
Ask question
quasi bison
which one first?
quasi bison
they are both relatively easy but #2 involves less computation
so i guess let's start with that
coarse birch
I have the formula
quasi bison
Trevor earned $136.50 in simple interest by investing $650 at 4.2% per annum. How long did he hold the investment?
(transcribing the problem here for my own sake)
coarse birch
Yea
quasi bison
I have the formula
so you have the formula simple interest = principal * rate * time, yes?
quasi bison
everything here is known except time.
coarse birch
I don’t have t
quasi bison
yes, as i said.
coarse birch
Yeh
quasi bison
you don't have the time, but you have everything else
coarse birch
Correct
quasi bison
are you able to isolate T in the formula I = PRT?
coarse birch
So I remove t from the formula?
flat frigateBOT
Ann
quasi bison
what do you mean
if you need to take a break then by all means go ahead
ping me once you're back
quasi bison
yes?
coarse birch
650 x (136.50 x 0.042)?
coarse birch
What does / mean?
quasi bison
division, what else?
coarse birch
And I is my 136.50
quasi bison
yes, the interest is 136.50 as the problem says
coarse birch
Okay let me solve
quasi bison
meanwhile i will transcribe the other problem for future reference
Jo decides to save for a vacation in 4 years by buying a $1000 GIC on June 1st each year for 3 years. (In the fourth year she also saves $1000 but does not invest it.) All of the GICs pay 4.2% interest, composed monthly. How much money will Jo have saved for her vacation over the four year period?
How do you transcribe it so fast?
quasi bison
took me 2 minutes?
coarse birch
Oh
coarse birch
Do you get paid to help people?
quasi bison
no
flat frigateBOT
Result:
5
ok yes 5 years is correct
coarse birch
What if it was months
quasi bison
wym
coarse birch
Like for exp
quasi bison
are you asking how to answer the question if you were told to give the answer in months?
there are 12 months in a year. 5 years = 5*12 months = 60 months.
quasi bison
ok
4 is considerably more complicated, bc now we are dealing with not only compound interest but an annuity
quasi bison
it's an investment in which, in addition to compound interest being earned, new money is added into the account at regular intervals (usually every year, and usually an equal amount)
coarse birch
So it’s like a mix of compound and simple interest?
coarse birch
Ok let me make it simple
quasi bison
so you know the general principle of compound interest, right?
coarse birch
so you know the general principle of compound interest, right?
Yeh ik how to do compound
quasi bison
namely that each paying period the money in the account grows multiplicatively rather than additively as in simple interest
so for an investment of r% compounded annually, the value is multiplied by (1+r/100) every year.
coarse birch
T - 4 years
R - 0.042
coarse birch
Ok
quasi bison
so for an investment of r% compounded annually, the value is multiplied by (1+r/...
you understand this, right?
coarse birch
Yeh that’s what I meant
quasi bison
you have to write the exponent symbol
coarse birch
Ok
quasi bison
anyway
i want you to understand the underlying principle behind compound interest
each year the value is multiplied by a fixed growth factor that depends on the rate
and also the compounding freq
quasi bison
???
safe radishBOT
@coarse birch Has your question been resolved?
safe radishBOT
safe radishBOT
Available help channel!
modest hollow
What is the conjugate of -3i ?
safe radishBOT
What is the conjugate of -3i ?
lean chasm
What is the conjugate of -3i ?
3i
high wadi
safe radishBOT
high wadi
can someone help me
safe radishBOT
@high wadi Has your question been resolved?
safe radishBOT
high wadi
.reopen
safe radishBOT
✅
safe radishBOT
@high wadi Has your question been resolved?
nimble arch
how do significant figures work
safe radishBOT
how do significant figures work
nimble arch
i cant tell if im doing something wrong or if this pdf document is doing something wrong
shouldn't this be rounded to 0.1m
physics btw
nimble arch
400 is the springrate and 50 was the resilience
grizzled shoal
springrate?
nimble arch
dutch actually (unfortunately)
grizzled shoal
50 has 2 significant digits
nimble arch
grizzled shoal
that sounds so close to german haha
we call it elastizität
anyway
since the least amount of sig figs was 2 (from 50) the result should be rounded to 2
so 0.125 becomes 0.13
grizzled shoal
btw, if you plan on asking further physics questions in the future, you might wanna think about joining the physics discord
nimble arch
do they have a similar help channel system?
grizzled shoal
i have sent you the link if you want to
they have but it is not as good
they have 2 dedicated channels
so not one channel per person
but it still works
nimble arch
i see
grizzled shoal
but this discord is better definetly
grizzled shoal
your welcome
we all have to go through sig figs etc at one time xD
worst part was uncertainty
static remnant
Hi I have a question on this exercise (I'm going to translate) :
static remnant
neat kiln
Helping with exams is strictly forbidden (just like kids before marriage)
static remnant
In a bag we have 9 cards, numbered from 1 to 9.
We take away, simultaneously and without looking, 4 cards of the bag.
static remnant
Helping with exams is strictly forbidden (just like kids before marriage)
It's not a exam....
It was a exame of 2019
Special epoc
Don't believe me look it up
Plus I have a question I don't need the resolution
static remnant
In a bag we have 9 cards, numbered from 1 to 9.
We take away, simultaneously and...
What's the probability of the minor number be 3 and the highest 8?
So I came up with
4x3x4!
9c4
But the solutions say it's
4c2
9c4
And I don't get why
safe radishBOT
@static remnant Has your question been resolved?
buoyant shadow
yeah, i agree with the solution
the hand looks like 3XX8, 2 X from 4,5,6,7
what does your solution even mean
so you pick 2 unknown cards
no idea
cobalt tapir
static remnant
what does your solution even mean
It's like from the for 4 cards between those numbers u gonna place 1
And from what we have now 3 cards u gonna place one
Then u multiple by 4! Cause it's the trades
buoyant shadow
the two cards come in a random order, if you do 4x3/2 then you can multiply by 4! as long as you also do it for the denominator
4×3 / 2 × 4!
9c4 × 4!
static remnant
But why would I had to divide by 2
buoyant shadow
because you decided to multiply by 4!
it like, takes a fixed order to an unknown order
but you already have the two cards in an unknown order
static remnant
So I don't multiple by 4! Cause the order doesn't Mather?
buoyant shadow
yes
i mean, you would have to do something else
some expression that would make a shuffled hand from your 2 shuffled cards
i don't know how it would look
buoyant shadow
it's an expression for nothing
i don;t know how to explain
1×1 means 3 then 8, ok
static remnant
I was doing permutation
buoyant shadow
then 4×3 means you put two cards afterwards
static remnant
then 4×3 means you put two cards afterwards
Yes
buoyant shadow
that counts all hands multiplied by two
like it's not a finished step
it's not counting anything successfully
you have a fixed order mixed with random
3 then 8 then a permutation of two cards
buoyant shadow
can't be what
static remnant
Permutation of 2
static remnant
I'm saying that in that place can be 4 cards and in the other one can be 3 cards
buoyant shadow
yes, and the 3 can be between them, and it can be last, and it can be second after 8
static remnant
Yes but the order doesn't matter in this exercise
buoyant shadow
if you account for that it will work
you're not acting like it doesn't matter when you multiply 4 by 3
imagine you have two cards
first card can be 2 cards
second card can be one card
2×1 = 2
buoyant shadow
4×3 is that
static remnant
Ik this is just confusing I hate probabilities
Idk when 1 place is supposed to handle 2 cards
I had to draw the difference between bottom but now I get it
Thx a lot
vagrant sand
why did you use a formula?
safe radishBOT
why did you use a formula?
solar hazel
also how did you come up with it as well?
I gave an example below it
solar hazel
why did you use a formula?
it's so that we can find the N for which that expression is largest
solar hazel
huh? I didn't do it but I don't think so
that was an example of the expression I wrote in a specific case
safe radishBOT
@vagrant sand Has your question been resolved?
safe radishBOT
safe radishBOT
Available help channel!
neat swallow
The graph of function f can be shifted 4 to the left to obtain the graph of function g. If f(x)=x^3 What is equivalent to the function g?
safe radishBOT
The graph of function f can be shifted 4 to the left to obtain the graph of func...
vast obsidian
In negative x-direction
winged river
The graph of function f can be shifted 4 to the left to obtain the graph of func...
Hint: If function f is shifted a units to the right, then the new function $g(x) = f(x-a)$
flat frigateBOT
S🅱innoto
neat swallow
is it graphs?
normally
i think if you shift graph to the right dosent the value get bigger?
hm
lean chasm
i think if you shift graph to the right dosent the value get bigger?
why would it
neat swallow
oh right
so if it shifts to the right
x increases and y remains the same?
is that how shifting graph works?
?
neat swallow
why would it
.
winged river
is it graphs?
No, it doesn't get bigger, it's just shifted
winged river
Yeah
winged river
To make it bigger/smaller, multiply the function by a constant
winged river
sigh try plotting y = (x-3)^3 using desmos or smtg and compare it against y = x^3
You'll see
winged river
Do you see the pattern now ?
winged river
Ok, apply the same logic to your original question and figure out the answer
neat swallow
it only wants the equation to be the same as usual
depending of the graph
if f shifted left
means (x+4)^3 to get the original one
neat swallow
the confusion was the cooleration of the shifting of the graph and the equation
fixed
thanks
winged river
My pleasure
neat swallow
.close
potent trench
Hey !
neat kiln
you should be solving
upper badge
what have you tried so far?
solemn ridge
are you having trouble solving the zeros?
potent trench
are you having trouble solving the zeros?
First I found the value of alpha and beta
solemn ridge
ok
potent trench
Then Idk what to do
solemn ridge
just plug in the values
potent trench
I guess we need to substitute
neat kiln
do you know sum and product of quadratic roots?
potent trench
Ofc
neat kiln
what are they?
potent trench
Why
neat kiln
that will come handy here?
potent trench
Alpha + Beta = -b/a
upper badge
since your roots are complex it is easier to use that
potent trench
Alpha.beta
= c/a
potent trench
that will come handy here?
What ?
upper badge
$\frac{a}{b} + \frac{b}{a} = \frac{a^{2} + b^{2}}{ab}$
flat frigateBOT
kinglacto
potent trench
Ohhh
upper badge
this isnt enough tho
potent trench
So we need to simplify this ?
Yeah
Sub the value
Of the
Sum of zeroes
And
Product
Of zeroes ig
upper badge
you need the expression to be in terms of (a + b) and (ab)
potent trench
Oh yes
upper badge
yeah
potent trench
In numerator can we use an identity ?
upper badge
you have to complete the square
potent trench
How though
potent trench
Hkw
upper badge
how do we do that?
upper badge
well you could try squaring (a + b)
upper badge
That's what am asking
yeah im just motivating you to figure it out on your own
upper badge
We can take square common
what?
upper badge
but theres a problem
potent trench
What ?
upper badge
(a + b)^2 != a^2 + b^2
(a + b)^2 = a^2 + b^2 + 2ab
if i wanted a^2 + b^2 in the RHS
what could i do?
upper badge
well you should
potent trench
Now
upper badge
the LHS, on simplification, isnt equal to a^2 + b^2, is the problem
neat kiln
you should know that a^2+b^2 and (a+b)^2 are not the same
potent trench
( a + b )²
ig this can be applied
upper badge
$\frac{\big(a + b\big)^{2}}{ab}$ is what you're suggesting
flat frigateBOT
kinglacto
potent trench
**kinglacto**
Yes
upper badge
but thats wrong
potent trench
How
upper badge
(a + b)^2 != a^2 + b^2
.
upper badge
(a + b)^2 = a^2 + b^2 + 2ab
.
upper badge
to prove you're wrong
upper badge
**kinglacto**
yes but this expression isnt our original expression
potent trench
Ik we need to solve further
upper badge
$\frac{\big(a + b\big)^{2}}{ab} \neq \frac{a}{b} + \frac{b}{a}$
flat frigateBOT
kinglacto
potent trench
**kinglacto**
Bruhh
potent trench
?
neat kiln
$\ (a+b)^2 \neq \ (a^2+b^2)$
potent trench
Yes
upper badge
$a^{2} + b^{2} = \big(a + b\big)^{2} - 2ab$
flat frigateBOT
kinglacto
upper badge
does this make sense?
potent trench
No
flat frigateBOT
Diegoro
potent trench
can you prove it?
How -2ab came
upper badge
dw about it
upper badge
is the equation correct or wrong?
potent trench
Wrong ig
upper badge
try expanding
neat kiln
you must know how to expand (a+b)^2
lean otter
How -2ab came
expand (a + b)². you will find pretty quickly that a² + b² = (a + b)² - 2ab, which is an equivalent way of writing the resulting expansion. you can verify this by simplifying the right side.
upper badge
**kinglacto**
ok look, this is correct ok?
potent trench
expand (a + b)². you will find pretty quickly that a² + b² = (a + b)² - 2ab, whi...
-2ab ?
+2ab right ?
neat kiln
**Diegoro**
@potent trench did you not see this?
potent trench
<@927986170313465866> did you not see this?
Oh ..
upper badge
you need to calm down.... its ok
we can start over
expand (a + b)^2
potent trench
Ahhhh
neat kiln
do you think (5+6)^2 and 5^2 + 6^2 the same?
potent trench
a2 + 2ab + b2
neat kiln
clearly not
upper badge
a2 + 2ab + b2
now if you subtract 2ab.. what do you get?
potent trench
do you think (5+6)^2 and 5^2 + 6^2 the same?
Oo
potent trench
now if you subtract 2ab.. what do you get?
But why though
neat kiln
@potent trench are you familiar with these ?
potent trench
<@927986170313465866> are you familiar with these ?
Bruhhh
potent trench
How a + b ² can have two different identities
upper badge
wait sorry nvm
neat kiln
so do you know these?
potent trench
Yes
neat kiln
yes
potent trench
Which one were usiny
neat kiln
now in the second equation
potent trench
Using
upper badge
now if you subtract 2ab.. what do you get?
does this make more sense now?
neat kiln
subtract both sides with 2ab
neat kiln
to get the result of a^2+b^2
potent trench
Wait
upper badge
But why ???
good ques.... just go with it for now
potent trench
Yes
neat kiln
you get a^2+b^2 = (a+b)^2-2ab
upper badge
$\big(a + b\big)^{2} = a^{2} + b^{2} + 2ab \newline$ subtracting 2ab from both sides
$ \newline \big(a + b\big)^{2} - 2ab = a^{2} + b^{2} + 2ab - 2ab = a^{2} + b^{2}$
flat frigateBOT
kinglacto
neat kiln
https://cdn.discordapp.com/attachments/903481106819612714/990291676499161108/766...
apply that here
did you forget your original question?
potent trench
Waitt
potent trench
..m
neat kiln
https://cdn.discordapp.com/attachments/903481106819612714/990291676499161108/766...
do you remember this?
upper badge
But why ?
the reason we are doing all of this is, is because ... we know the values of (a + b) and (ab) ONLY
and we need our expression to be in terms of those... and nothing else
potent trench
https://cdn.discordapp.com/attachments/903481106819612714/990291676499161108/766...
Yes
potent trench
the reason we are doing all of this is, is because ... we know the values of (a ...
But why didn't we do this a+b²/ab
upper badge
bc thats not equal to our original expression
upper badge
**Diegoro**
.
neat kiln
But why didn't we do this a+b²/ab
didnt I explain (a+b)^2 is not the same as a^2+b^2??
neat kiln
you should have learned these stuff before quadratics imo
upper badge
and recognising to do these steps will come with practice... in case you felt we pulled all of this out of nowhere
potent trench
you should have learned these stuff before quadratics imo
I did
Bruh
Ok anyone of you got final ans ?
upper badge
thats your job im afraid
potent trench
Tell idm
upper badge
i do
potent trench
upper badge
.....
potent trench
?
potent trench
.close
neat kiln
are you sure about the question?
dull sequoia
Depends on the context
neat kiln
just show your orginial question
proper bough
divide everything by 3
so ur factors are 2, 15, 8
then find what x = 0
in this case -1/2 or 8 works
can u use calculator?
whole acorn
or you can just use this
$$ax^2 + bx + c = 0$$
$$p * q = ac$$
$$p + q = b$$
$$\frac{(ax + p)(ax + q)}{a} = 0$$
flat frigateBOT
MarveI
proper bough
wow i've never seen that
whole acorn
still kept my teacher's powerpoint til this day
that's using the quadratic equation
"solve by factoring"
proper bough
oh yeah my bad ig
flat frigateBOT
MarveI
flat frigateBOT
MarveI
safe radishBOT
@lean otter Has your question been resolved?
brave edge
If you want to solve by factoring at first, you can see what the factored version would look like for any roots that you might find
So $x²-\frac{15}{2}x-4=(x+x_1)(x+x_2)$
flat frigateBOT
Epsilia aka Mellow
brave edge
$=x²+(x_1+x_2)x+x_1x_2$
flat frigateBOT
Epsilia aka Mellow
brave edge
So your roots here are obviously $x_1$ and $x_2$
flat frigateBOT
Epsilia aka Mellow
safe radishBOT
whole acorn
timeout lel
brave edge
\tableflip
flat frigateBOT
Epsilia aka Mellow
safe radishBOT
Available help channel!
woeful scaffold
the period of sin(3x) is 2π * 1/3. in my math book there's the general rule that for sin(kx) or similar, the period is 2π * 1/k. what's the proof for this?
safe radishBOT
the period of `sin(3x)` is `2π * 1/3`. in my math book there's the general rule ...
lean chasm
the period of `sin(3x)` is `2π * 1/3`. in my math book there's the general rule ...
period of sin is 2pi => sin((2pi)/(2pi) x) has a period of 2pi => sin((2pi)/k x) has a period of k
you're either stretching it out or inward
analog flare
Umm sin(0) = 0
sin(2pi) = 0
Period is 2pi
So for sin(kx) kx should be 2pi
x = 2pi/k
safe radishBOT
safe radishBOT
Available help channel!
graceful locust
I need help with solving logarithms.
First one being
Log4(x^2 +8x-1) = 2+log4(X-1)
lean otter
I need help with solving logarithms.
First one being
Log4(x^2 +8x-1) = 2+log4(X...
Use log(a)-log(b)=log(a/b)
lean otter
Like that?
No, a and b denote the two equations in your question.
graceful locust
Hmm okay then how would I proceed
lean otter
Hmm okay then how would I proceed
Should be easy from here on
lean otter
And I have another if I may
Yeah sure
lean otter
Both logs have a base of 2 if its not visible
But you have solved it already if I am not wrong
At least you have done the main part
graceful locust
Not according to my teacher. I'm supposed to solve for x and I'm somewhere in the process
graceful locust
Thus I'm wondering if this is the right approach to solving it
lean otter
Thus I'm wondering if this is the right approach to solving it
The approach is correct. Beyond this, there are usually two ways you can go about it. One is the long method of finding all 3 roots of the cubic equation. The other is to guess one root by mental calculation and find the other 2 using polynomial division.
I usually do the 2nd method. Here I can already see x=1 satisfies the equation so I divide (x^3 - 3x + 2) by (x-1)
graceful locust
I see mmh I'd like to see how the other method is if u may take me through it
lean otter
I see mmh I'd like to see how the other method is if u may take me through it
I'll recommend watching this video. It explains well with steps.
graceful locust
Thank u
I'll leave it at that for tonight and go through them once more before bed🙂 👍
.close
safe radishBOT
safe radishBOT
Available help channel!
obtuse lily
Hi, self studying can be quite challenging not to waste some energy using weak resources . Am trying to learn everything around permutations and combinations. Can someone give me some keywords or a map to learn it correctly. Please note i dont care about learning it for some exam i just wanna grasp the concept really well and to be able to apply it in real life. Thank you.
safe radishBOT
Hi, self studying can be quite challenging not to waste some energy using weak r...
thin token
i will tell you the way i learnt it
or the way i was taught with
- Fundamental principle of counting
- Permutation and Combination: Basic definition and properties
- Formation of groups
4)Principle of inclusion and exclusion
5)Permutation of alike objects - Circular Permutation
- Total number of combinations
- Divisors
- Total distribution
- Derangement
safe radishBOT
@obtuse lily Has your question been resolved?
obtuse lily
1) Fundamental principle of counting
2) Permutation and Combination: Basic defin...
Thank you 🌻
sand pivot
safe radishBOT
sand pivot
I'm stuck on this trig question:(
trim venture
sand pivot
The roots throw me off
dull sequoia
replace all the non y values with a b c d e f g however many you need
$ay = b - cy$ where $a=\sqrt{2}, b = 7, c=\sqrt{3}$
flat frigateBOT
Frosst
safe radishBOT
@sand pivot Has your question been resolved?
plucky elk
.close
safe radishBOT
safe radishBOT
Available help channel!
gray plaza
How to solve 5(c)?
safe radishBOT
How to solve 5(c)?
rancid wagon
what
woven anchor
5(c) = c+c+c+c+c
maiden jetty
it's conditional probability
safe radishBOT
@gray plaza Has your question been resolved?
safe radishBOT
safe radishBOT
Available help channel!
tall drift
safe radishBOT
raven heart
how would I go about calculating 4(4,2) whilst there are 11 points on the graph
same as before
(4,2)+(4,2)+...
raven heart
Yeah I mean for 3 additions it's overkill
tall drift
4(4,2)
raven heart
For square and multiply
tall drift
then next question is 9(4,2)
is that even plausible considering I'm not using exponents
or is the same technique applicable?
sweet mica
You can do (x,y)=(4,2)+(4,2) and then (x,y)+(x,y)=4(4,2).
sweet mica
or is the same technique applicable?
Same technique, do 8(4,2) and then add (4,2)
tall drift
don't undertsand how i'm suppose to pull ans answer from that
raven heart
or is the same technique applicable?
Yeah square and multiply works anytime you're repeating an operation
What categorist is trying to say is that 9(4,2) = 2*(4*(4,2)) + (4,2)
tall drift
4(4,2) = 4P
raven heart
What categorist is trying to say is that 9(4,2) = 2\*(4\*(4,2)) + (4,2)
So if you already know 4(4,2) it's easy to get 9(9,2) from that @tall drift
tall drift
image is loading
I need to pull an answer from the equation
because it's going into another equation
would be x110 times easier i you could type the lower exponents in chaat
raven heart
I mean if you use _ for subscript I'd understand
tall drift
so how would i compute (4,2)squared + (4,2)squared
flat frigateBOT
aPlatypus
tall drift
so I need to compute P = dG where d = 4 and G = (4,2)
raven heart
But it's OK I get you
tall drift
P = 4(4,2)
so
per example its saying (4,2)_2 + (4,2)_2
on Z_7 table
which is numbers {0,1,2,3,4,5,6}
so im assuming anything over 6 and it loops back to 0 and up
4 + 4 = 8 so 6 > 0 > 1
raven heart
Well (4,2)_2 + (4,2)_2 that's 2*(4,2)_2 i.e. 2*(2*(4,2))
raven heart
That gives you 2*(4,2)
tall drift
Well (4,2)_2 + (4,2)_2 that's 2\*(4,2)_2 i.e. 2\*(2\*(4,2))
so it would just be (4,2) + (4,2)?
raven heart
Multiply again by 2
tall drift
but multi is just addition
raven heart
That's 4*(4,2)
tall drift
so how am i too pull a point from this bc now where back at the inital question 4(4,2)
P = 4(4,2)
raven heart
but multi is just addition
I mean yeah, but the point of square and multiply is to have the intermediate result
tall drift
see for these assignment there are no exampes so I'm not sure what the answers are even to look like
raven heart
Like you compute ( (4,2) + (4,2) ) + ( (4,2) + (4,2) )
That's the way you'd compute it "square and multiply like"
tall drift
so on the first (4,2) + (4,2) = (1,4)
raven heart
I.e first you get (4,2)+(4,2)
tall drift
(1,4) + (1,4)
raven heart
The group law is not addition in Z_7 unfortunately lol
You still have to use that table
Given that curve,...
tall drift
okay then whats the group law order of 11 referring to?
raven heart
okay then whats the group law order of 11 referring to?
the table
tall drift
bc all I see in the book is that order n=11 is the number of points on the grpah
but dont understand where that plays into the equation
raven heart
Sounds like it's useful in the signature
tall drift
so 11 (x,y) on the table are used?
raven heart
Maybe not just now
tall drift
ahhhhhhh
raven heart
So stop being hyperfocused on n=11
raven heart
Yeah ok
tall drift
signer picks a random number, k, between 1 and n – 1 and computes kG, a point with the coordinates (x, y)
9(4,2)
8p + P
hold up im send pic rn
for you to confirm
raven heart
Yeah it's good
tall drift
(x,y) = (6,2)
says signer sets r = x mod n
r = 6 mod 11
which is equal to 6
so r = 6
excuse the bottom s = bc division prior to addition
but would i divide then the quotient mod 11?
ex 24 / 9 = x mod 11
or 9 mod 11 = 9 so 24 / 9 = x
raven heart
We're working in the integers mod 11 here
Having a final result which is not an integer is problematic
tall drift
hmmm
raven heart
The closest equivalent of dividing by a number k mod 11 is multiplying by the inverse k^-1 mod 11
raven heart
Why -9 ?
raven heart
Nah
tall drift
9^-2 = -9 * -9
raven heart
9^-1 mod 11, is the integer such that 9*9^-1 = 1 mod 11
raven heart
Uh do you know how to find an inverse mod 11 ?
That's like bread and butter in crypto
Like I understand if you're not familiar with elliptic curves
But this is like very basic stuff
tall drift
its another number or set of numbers that give the same output?
x=6
just trying to pass at this point man.. this is the lasst assignment then 4 exams and a project tby frieday
raven heart
It's a way to cancel multiplication
tall drift
Solution: x = 6
Indeed, we have 24 * 6 = 144
and 144 = 1 mod 11```bc 144 give you 1 mod 11
so would the x = 6 replace the (24 / 9 mod 11)
or replace the 9 mod 11
hmm
S = 8 + 144
S=152
raven heart
You want x such that 9x = 1 mod 11
Then s = 32/9 mod 11 = 32x mod 11
(x is the inverse of 9 mod 11)
raven heart
I mean they have parentheses in the formula right
tall drift
damn you caught that
wait wait so was the 9^-1 neccessary
bcc 32 / 9 mod 11 now
or we were calculating i tthat way the whole time
I see where the mistake was correcting it on my side
raven heart
9^-1 is the way of expressing "I divide by 9" in modular arithmetic
You can write it 32*9^-1 or 32/9 whatever
But if you don't know how to get the inverse of 9 you're screwed to end the calculation
tall drift
im dumb was doing 32
raven heart
9*5 on the other hand
tall drift
mmmmm
raven heart
That's what 9^5 = 1 mod 11 means
tall drift
s = 160 mod 11, s = 6
raven heart
kay
Well, so what's the point Q now ?
Do they say something about it in your book?
I hope it's not a pain to calculate again
tall drift
srry
srry mouse double clicks every time i click, makes it hard to screenshot
and mousepd is broken
say s = inverse of s in signature
s = inverse of signature s = k / (h + rd) mod n
raven heart
w is the inverse
tall drift
mmmmmm
raven heart
That's what they call it at least
raven heart
Just compute wh
tall drift
why is there two equal signs in the equation?
raven heart
And forget about the hk stuff
tall drift
1/6(8) = 8/6 = 4/3
raven heart
The middle part is just some rewriting of wh
(Probably if want to prove the signature schema is correct or something)
raven heart
1/6(8) = 8/6 = 4/3
We're still working mod 11 remember
Anyway I didn't see it was so late now
I gtg to sleep now
raven heart
I mean both
raven heart
But it's really the 1/6 you have to take care of
tall drift
inverse?
raven heart
8 = 8mod 11 so...
tall drift
1/6 * x mod 11
raven heart
If you're still stuck and nobody comes, leave me a DM
knotty hornet
safe radishBOT
royal kiln
How would I determine
What do you remember about the Perimeter of a rectangle
knotty hornet
What do you remember about the Perimeter of a rectangle
2 (w + h)
royal kiln
Have you calculated either of those quantities yet?
knotty hornet
Have you calculated either of those quantities yet?
I'm not sure how
royal kiln
I'm not sure how
Remind us what answers have you already found
What did you find already
?
@knotty hornet are you still with us
knotty hornet
<@490938874818854914> are you still with us
Sorry
I found the expressions that represent with and length of the frame
knotty hornet
ohh
royal kiln
💡
safe radishBOT
@knotty hornet Has your question been resolved?
knotty hornet
.close
visual meteor
can someone help me go through this one by one
safe radishBOT
can someone help me go through this one by one
worn shadow
Lets start with HDF since we know the values of <FHD and <HFD
<FHD is 40 deg
and <HFD is 30 deg
we know that a triangle has a total of 180 deg
so 40+30 = 70
visual meteor
<hdf should be 110
worn shadow
correct
from there we can figure out <BDE
because <BDE is back to back with <HDF, the degs are the same
so <BDE is 110 deg
visual meteor
is it because of the reflective property?
worn shadow
Im not sure about reflective property as I havent heard that term, I wasnt taught in english terms
visual meteor
ah its ok dont worry about it then
worn shadow
alright so moving on
we have both <BDE and <HDF, adding those two together we get 220 (110+110)
we know that a full circle is made of 360 deg
so 360-220 should get you 140
and since <BDH and <EDF are back to back, we can conclude that they have the same values
so we can just do 140/2 which gives 70
visual meteor
OH I SRR
worn shadow
and so <BDH and <EDF are both 70 deg
visual meteor
see*
worn shadow
from there we can find the deg of the triangle BDH
at H we can see that there are 4 right angles
right angles being 90 degs
and on triangle HDF we see that there is a 40 deg at <DHF
so to find out the deg of <BHD we can just do 90-40
which gives 50 deg
visual meteor
oh okok
worn shadow
now that we have notes of a couple angles, <BHD = 50, <BDH = 70
worn shadow
correct
visual meteor
then <abc is also 60
visual meteor
wait maybe
worn shadow
its the same way we figured out <bdh and <edf
visual meteor
which left us with 240 then 240/2 which <cbd is 120 and <abh is 120 also?
worn shadow
correct
good job
<IHB and <IHJ is pretty straight forward, those are both right angles
visual meteor
yeah
worn shadow
we can figure out <KHJ by subtracting 30 from 90
visual meteor
whixh is 60
worn shadow
for <GFD we can use the straight line to our advantage
worn shadow
whixh is 60
yes
visual meteor
180-30?
visual meteor
yesyes
worn shadow
I believe we determined all angles?
visual meteor
i think so thank you so much
worn shadow
no worries :)
visual meteor
.close
primal gazelle
Seems obvious but how do i prove this, prove that in every tournament with n players, you can order the players p1,p2,pn in a way such that p1>p2>...>pn ">" means won with. (extremal principle)
safe radishBOT
Seems obvious but how do i prove this, prove that in every tournament with n pla...
@primal gazelle Has your question been resolved?
buoyant shadow
i don't get it
safe radishBOT
@primal gazelle Has your question been resolved?
primal gazelle
In other words prove u can order the players in a way one won with the previous one and so on, so at the end would be the one that lost to everyone
buoyant shadow
but how
i don't understand
3>2>1>4?
but 1 didn't do anything to 4, didn;t even live longer
safe radishBOT
@primal gazelle Has your question been resolved?
upbeat ridge
safe radishBOT
upbeat ridge
Can anyone show me where I did wrong?
half glade
when differentiating sin the "inside" doesn't change
upbeat ridge
wdym?
ruby pelican
it should be -4x-3 in the sin at the end
ruby pelican
Can anyone show me where I did wrong?
i get what you have done but these online systems dont always accept all answers so even though yours is technically correct i would guess it wanted -32sin(-4x-3)
upbeat ridge
But one of my calculators said it's wrong
It said the answer was $-32\cos \left(3+4x\right)$
flat frigateBOT
AirToastie
ruby pelican
for the 2nd derivative?
ruby pelican
why did you put cos, the question is sin