#help-38
trim joltBOT
cunning cliff
whats the 4th root written as an exponent
narrow sky
1/4
glossy turret
recall that $\sqrt[b]{a^b} = a$
solid kilnBOT
baro | awake
cunning cliff
trim joltBOT
@narrow sky Has your question been resolved?
lament lion
trim joltBOT
night zodiac
Hint: that's radians
lament lion
Hint: that's radians
-6.28/1 * 180/pi = -360.39 degree
wanton frigate
I need help with problems a and b.
trim joltBOT
I need help with problems a and b.
wanton frigate
<@&286206848099549185>
trim joltBOT
@wanton frigate Has your question been resolved?
trim joltBOT
@wanton frigate Has your question been resolved?
leaden nexus
I need help with problems a and b.
So for a, what is the unit price in this case and why do we care about it?
trim joltBOT
@wanton frigate Has your question been resolved?
trim joltBOT
trim joltBOT
Available help channel!
ornate fog
The gift together with the gift basket costs 11 EUR. The gift is 10 EUR more expensive than the gift basket. How much is the gift?
glossy marsh
Let X the price of the gift
Let Y the price of the gift basket
Sentence 1 : X+Y=11
Sentence 2 : X = Y + 10
Now you can substitute X in (1),get Y, then substitute Y in any equation to get X.
X is the price of the gift, that's what you need
ornate fog
X is the price of the gift, that's what you need
got it, thank you
trim joltBOT
Available help channel!
wraith hinge
I am trying to check the isomorphism and planarity of the following graphs:
A1 = {{x1, x2, x3, x4, x5, x6, x7, x8}, {{x1, x2}, {x1, x3}, {x1, x8}, {x2, x6}, {x2, x7 }, {x3, x4}, {x3, x5}, {x3, x8}, {x4, x7}, {x5, x6}, {x5, x7}, {x5, x8}, {x6, x7}, {x6, x8}}}
A2 = {{x1, x2, x3, x4, x5, x6, x7, x8}, {{x1, x2}, {x1, x7}, {x2, x3}, {x2, x6}, {x2, x8 }, {x3, x4}, {x3, x8}, {x4, x5}, {x4, x7}, {x5, x6}, {x5, x7}, {x5, x8}, {x6, x7}, {x6, x8}}}
A3 = {{x1, x2, x3, x4, x5, x6, x7, x8}, {{x1, x2}, {x1, x5}, {x1, x8}, {x2, x3}, {x2, x7 }, {x3, x4}, {x3, x5}, {x3, x6}, {x4, x5}, {x4, x7}, {x4, x8}, {x5, x7}, {x6, x8}, {x7, x8}}}
wraith hinge
sorry if it is hard to read
wraith hinge
I am trying to check the isomorphism and planarity of the following graphs:
A1 =...
from what I am getting, A1 is isomorphic to A2, A1 is not isomorphic to A3, and A2 is not isomorphic to A3
you can draw A2 and A1 such that no edges cross i think
which mean they are planar but i am not sure about A3?
this is the graph of A3 for reference sake
solid kilnBOT
wraith hinge
<@&286206848099549185>
marble wharf
do I really have to !15m you
wraith hinge
wait it wasnt 15 minutes?
oof
sorry
well
3 minutes off get me off the hook dena 
marble wharf
6 minutes
what planarity conditions do you have
I would guess try to find a K_3,3 or K_5 ?
wraith hinge
K_3,3 yep
marble wharf
but I don't see an obvious one. and I don't really wanna pull out a pen and draw stuff
wraith hinge
undirected graphs obviously
wraith hinge
but I don't see an obvious one. and I don't really wanna pull out a pen and draw...
tikz
oh actually
wraith hinge
i think we need to remove the vertex x_6 first
and uh
i have no clue
okay brb i will whip out paint
ok figured it out tyy
.close
trim joltBOT
marble wharf
dont leave me hanging
trim joltBOT
Available help channel!
zealous hollow
How can I solve 5^(2x-1)=35? I keep getting stuck no matter what approach I take
nimble stone
have you tried logarithms?
zealous hollow
Yes
solid kilnBOT
wraith hinge
What causes the 5^2x/5
$a^{m-n} = \frac{a^m}{a^n}$
solid kilnBOT
zealous hollow
Oh
I'm dumb
Thanks
That makes sense
Wait, when does it go from 5^2x=35(5)?
What happens after that is what i mean
wraith hinge
Wait, when does it go from 5^2x=35(5)?
LHS to RHS
U take 5 from denominator and put it on side of multiplication on other side
wraith hinge
5^{2x} = 175 
wraith hinge
It's not gonna be a natural number, so u need to put a log ig
zealous hollow
ye
wraith hinge
Because there is no exponent which makes 5 to 175
Gonna be somewhere between 3-4 as a decimal
Let 2x = X
wraith hinge
$5^{X} = 175 → \log_{5} 175 = X$
solid kilnBOT
wraith hinge
,w log base 5 of 175
solid kilnBOT
zealous hollow
Then do I do change of base so I can use a normal calculator?
Since the one I have only has log base 10 and ln
wraith hinge
Then do I do change of base so I can use a normal calculator?
U can use whatever method u want, nothing stops u from a calculator really
zealous hollow
Makes sense
wraith hinge
Since the one I have only has log base 10 and ln
We have bot here who can help u with calculations
X = 2x = 3.209
x = 3.209/2
,w 3.209/2
solid kilnBOT
wraith hinge
Done
zealous hollow
Thank you for the help
wraith hinge
x ≈ 1.6045
zealous hollow
that method makes a lot more sense than the crap we were taught
wraith hinge
Which method were u taught ?
wraith hinge
I mean, I wasn't really told this method, it was just the approach that came to my mind after I saw ur problem
Perhaps if u want to, u can try it by ur told method too, so ur teacher stays happy
Now that u have answer, it will feel kinda easy
wraith hinge
Let's try to see how correct it is
wraith hinge
,w 5^((2×1.6045)-1)
solid kilnBOT
wraith hinge
Great
zealous hollow
.close
leaden nexus
lone egret
oops
nimble stone
try them out - see which ones give h
onyx fulcrum
^
leaden nexus
what have u tried so far
/what do you need help with exactly?
have you tried it yet?
what'd u get so far
idk where ur getting 660 from but
28 tickets
x are adult tickets
that means the remaining is child tickets
so how do u represent that ^
well
just the 28-x part
wait u wrote that wrong, u should have x +y = 28
but the didn't ask to name y to be the number of children tickets so just write the 28-x part
and b is simple, just don't overthink it
and For c, just using the answer from a and logic from b
okay so 28-x is the number of children tickets
are u comfortable with that idea?
So for part b
What’s the price of ONE adult ticket
I know
But I’m breaking it down
All the adult tickets**
it’s given to you
first sentence
Okay so one adult ticket is 30
How many is x adults tickets then?
There u go
so the price of x adult tickets is the price of one adult ticket times the number of tickets (x)
Now using this logic u solve c ^
What’s the number of children ticket?
(Part a btw)
leaden nexus
well the price of the tickets is just the price of ONE times the number of tickets
there are 30-x children tickets
priced at 15 each
so 15(30-x) is the total price of the children tickets
the 15 gets distributed to the -x too
so 450-15x
sorry I meant 28-x so the answer is
,w 15*28
solid kilnBOT
leaden nexus
420-15x
wym
yeah
yep
and b is
this
don't write times x as xX
just keep it as 30x
and u don't need it = to anything, it's fine
so a and b is done and we just did c too
leaden nexus
420-15x
c
so we have the cost of adult tickets and the cost of the children tickets
just add them
30x + (420 - 15x)
which is just 30x + 420 - 15x
simplify
not quite
30x + 420 - 15x = 30x-15x + 420
30x-15x = 15x
so the final answer is 15x-420
as required
what
yea
+420
not -
but yeah that's where it asked us to stop
that last one now
the total cost ( so 15x+420) IS 660
That means that 660 = 15x+420
now we need the number of adult tickets
which is x
so this is really easy
30x is the price of x amount of adult tickets
but we have the total cost here
there are children tickets too so u need to account for that, that's why we use the asnwer from part ii and not ia
ia is only one part of the total cost
wym by that
yes
yup
good work!
yes
yes
npnp
lost forge
I am new to abstract algebra and how modular congruence works.
In question (a) im thinking i can divide both sides by a since gcd(a,n) = 1 meaning its non-zero which should make it equivalent to what I'm trying to prove.
for question (b) I am getting lost in the syntax and would like some guidance on how to develop an answer.
thank you
trim joltBOT
I am new to abstract algebra and how modular congruence works.
In question (a) ...
@lost forge Has your question been resolved?
nimble stone
trim joltBOT
@lost forge Has your question been resolved?
lost forge
im confused on why you included p in line 4 and how c-b = n(pw+cz-bz) implies n|c-b
nimble stone
p is just an integer it means a(c-b) is an integer multiple of n - because n divides a(c-b)
for the second point - pw+cz-bz is an integer since p,w,c,z and b are integers so by definition of divides, n divides c-b
lost forge
okay this was a lot more complicated than i thought it would be
i follow your math and i recognize the identities you use
I just wouldnt have thought of it by myself
nimble stone
i initially did what i think you were going for which is basically getting to line 4 then dividing by a - but i realised i couldnt prove that p/a is an integer so i had to look for a different way - the only one i could think of was to use the gcd somehow so i made 1=aw+nz and just went from there
lost forge
okay yeah that makes sense
im still getting used to what congruence actually means
the class imposes a lot of theory before providing examples so i get confused on the actual meaning of what im trying to prove
ok so (b) is saying that if the gcd is greater than 1 then this proof no longer holds
nimble stone
yeah pretty much
lost forge
I used different variables but i just left off from when you introduced bezout's identity
Replacing 1 with d
trim joltBOT
@lost forge Has your question been resolved?
river locust
Hello, i would like some help with a few questions relating with the properties of powers but you do not evaluate the expression.
split chasm
please improve image quality, its too blurry
split chasm
were those the only rules you were given?
there's an important one, power of a product that seems to be missing
$$(ab)^m = a^m\cdot b^m$$
solid kilnBOT
ℝamonov
river locust
split chasm
try Q2 again, with the additional rule i gave you
river locust
What do you do when there is a negative base and a positive base
river locust
Since (-1)(4) would be -4 do i use that to turn the positive 4 base into a negative so it could match with the other base
split chasm
well ideally in the end result you don't want negative bases
consider $-4 = (-1)(4)$ \
and apply \
\textbf{power of a product rule:}
$$(ab)^m = a^m\cdot b^m$$
to it \
$(-4)^2 = , ?$
solid kilnBOT
ℝamonov
river locust
-4 * -4 which is 16 because a negative times a negative equals a positive
split chasm
true, but you fully evaluated that part which you were trying to avoid
you could convert 16 back to a base of 4 if you did that
i was trying to provide you with a route that avoids that, that you seem to be ignoring multiple times
river locust
"you could convert 16 back to a base of 4 if you did that"
river locust
It would be 2^22
split chasm
the final answer, yes
river locust
**ℝamonov**
-4 * -4
split chasm
did you ignore the first half of that pic?
consider $\red{-4} = \blue{(-1)(4)}$ \
can you replace the $\red{-4}$ in $(\red{-4})^2$ with $\blue{(-1)(4)}$
solid kilnBOT
ℝamonov
split chasm
and apply \
$\textbf{power of a product rule:}$
$$(ab)^m = a^m\cdot b^m$$
to $(\underbrace{(-1)}{a}\underbrace{(4)}{b})^2$
solid kilnBOT
ℝamonov
mighty heart
trim joltBOT
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
sour token
```
What step are you on?
1. I don't know where to begin
2. I have begun but got...
answer this
trim joltBOT
@mighty heart Has your question been resolved?
mighty heart
answer this
for what?
sour token
to let us know where exactly you're stuck
(If you're thinking someone would directly tell the answer that's not gonna happen)
mighty heart
(If you're thinking someone would directly tell the answer that's not gonna happ...
I asked for help, I don’t see nowhere where I told them to give me the answer.
sour token
It was a general remark, some people except that. Please don't take it personally
sour token
ohh, well it says that Leila has three times the number of cards that Kayla has
mighty heart
so it is multiplication?
sour token
yeaah, times directly translates to multiplication but that's not what the question asks
It says Leila has 84 cards then what would be number of cards Kayla has?
Take a try at the answer
mighty heart
i still don’t understand.
sour token
what exactly do you not understand
mighty heart
the way your explaining it to me
<@&286206848099549185>
I need to get this done by 6am.
spiral hemlock
What is it about
mighty heart
It’s on the top.
spiral hemlock
Which grade are you in?
mighty heart
sorry, that does not matter right now.
spiral hemlock
It will help me find a way to explain
mighty heart
just explain me.
spiral hemlock
Depending on your current knowledge in grade
Ok
So
If leila has 84 cards and she has 3x more cards than kayla
mighty heart
so multiplication
spiral hemlock
That means that kayla has ?x less cards than leila
mighty heart
?
spiral hemlock
How much less cards does kayla have
mighty heart
oh.
spiral hemlock
Since leila has three times more, kayla has three times less
teal bolt
Kayla×3= Leila
spiral hemlock
No its the opposite
So if 84 cards is three times more than kayla’s cards,
Kayla has three times less cards
So you need to do a…
@mighty heart
3 times is a multiplication
What is the opposite of a multiplication?
mighty heart
subtraction
mighty heart
.close
trim joltBOT
spiral hemlock
I have 4 apples
How do you go back to 1 apple if you have 4 apples?
@mighty heart
trim joltBOT
Available help channel!
mighty heart
that’s clearly subtraction
trim joltBOT
that’s clearly subtraction
spiral hemlock
Yes
So you see that substraction is the opposite of sum
So the what is the opposite of multiplication
spiral hemlock
Addition is already the opposite of substraction
One method is left
There is
Addition, multiplication, substraction, and?
spiral hemlock
Yes
mighty heart
i was abt to say that
spiral hemlock
So if leila has three TIMES the amount of cards than kayla
How do you find kaylas cards
If you did times to find leila, to find kayla you must do the opposite
So what do you do?
mighty heart
28
mighty heart
oh? that was simple.
mighty heart
ty
mighty heart
alrrr
spiral hemlock
🙂
spiral hemlock
Oooooh
mighty heart
yeah and it’s just abt decimals
spiral hemlock
Ok well dont hesitate asking for more help i like helping
mighty heart
Ok well dont hesitate asking for more help i like helping
I won’t
spiral hemlock
Ok
mighty heart
ping u
spiral hemlock
Ok
trim joltBOT
@mighty heart Has your question been resolved?
cosmic moss
10⁻⁴-4.4*10⁻⁵ Does anyone know how is this solved?
trim joltBOT
10⁻⁴-4.4*10⁻⁵ Does anyone know how is this solved?
cosmic moss
the * indicates multiplication
wraith hinge
10⁻⁴-4.4*10⁻⁵ Does anyone know how is this solved?
$10^{-4} - 4.4 × 10^{-5}$
solid kilnBOT
wraith hinge
?
trim joltBOT
@cosmic moss Has your question been resolved?
quartz yoke
have you tried anything
cosmic moss
yep
cosmic moss
have you tried anything
i tried doing -4.4*10⁻⁵ first, then idk what to do with 10⁻⁴
quartz yoke
$10^{-4} = 10 \cdot 10^{-5}$
solid kilnBOT
quartz yoke
there you go
cosmic moss
there you go
wait i dont understand sorry 🥲
could u show me the solution? maybe i would understand
main sigil
$10^{-4}=\frac{1}{10^{4}}=\frac{10}{10}\cdot\frac{1}{10^{4}}=10\cdot\frac{1}{10^{5}}=10\cdot10^{-5}$
solid kilnBOT
MathIsAlwaysRight
cosmic moss
the dot indicates multiply?
main sigil
Therefore, $10^{-4}-4.4\cdot10^{-5}=10\cdot10^{-5}-4.4\cdot10^{-5}$
solid kilnBOT
MathIsAlwaysRight
main sigil
the dot indicates multiply?
Yeah
solid kilnBOT
NEONPerseus
cosmic moss
sry man, im not an american
main sigil
multplication>multiplication?
frozen plover
main sigil
$a \cdot b = a \times b=ab$
frozen plover
$= ab$
solid kilnBOT
NEONPerseus
frozen plover
solid kilnBOT
MathIsAlwaysRight
frozen plover
Okay bro
cosmic moss
.close
ripe furnace
Is this a permutations?how do I solve this?
trim joltBOT
Is this a permutations?how do I solve this?
Show your work, and if possible, explain where you are stuck.
frozen plover
In how many ways can you select three unique digits from six? @ripe furnace
hazy vale
Is this a permutations?how do I solve this?
yes
you can also think of it in another way
in how many ways can 6 people sit in 3 chairs?
exotic pine
Is this a permutations?how do I solve this?
i think this is called a combination
or maybe not actually
hazy vale
i think this is called a combination
using the concept of permutation makes it easier
exotic pine
yeah im wrong
hazy vale
although combination is linked to permutation
exotic pine
yeah i like to think combinations as another form of permutations
hazy vale
ncr = npr/r!
but like if you view the question as a combination then the statement becomes "In how many ways can you select and arrange 3 digits from 6"
same thing
trim joltBOT
@ripe furnace Has your question been resolved?
wraith hinge
trim joltBOT
wraith hinge
Is there two sets here?
cosmic cliff
Is there two sets here?
Sp?
wraith hinge
1 from 0 to .75 and .75 to 1.5?
cosmic cliff
no, there are infinite amount of sets
for every p from 0 to 1/2
for example p =0.1, 0.2, 1/3 and so on
supple saffron
for integer ?
cosmic cliff
p takes values of all real numbers between 0 and 1/2
cosmic cliff
for integer ?
there's no integer between 0 and 1/2
supple saffron
there's no integer between 0 and 1/2
thats why
cosmic cliff
on the left is a union of infinite amount of sets with p from 0 to 1/2
cosmic cliff
ok, lets put it this way
for any x in the interval (0, 3/2] you can find p so that Sp contains x
and for any other value there's no p so that Sp contains x
trim joltBOT
@wraith hinge Has your question been resolved?
wraith hinge
Alright i understand thank you 🙂
sterile egret
Find BC
sterile egret
Isn't $BC^{2} = (3.8)^{2}+(5.4)^{2}$
solid kilnBOT
Anagh
solid kilnBOT
Result:
6.6030296076877
Ew
lilac wind
if it makes you feel better an exact expression is $\frac{\sqrt{1090}}{5}$
solid kilnBOT
Duh Hello
sterile egret
.close
trim joltBOT
trim joltBOT
Available help channel!
wraith hinge
why did they add that e^iaR(cost+isint) there?
trim joltBOT
why did they add that e^iaR(cost+isint) there?
wraith hinge
Proof for Jordans lemma
marble wharf
is f(z)=e^(i a z) g(z) ?
if z is on C_R then it is equal to r(cos theta+i sin theta)
trim joltBOT
@wraith hinge Has your question been resolved?
trim joltBOT
trim joltBOT
Available help channel!
proper vessel
trim joltBOT
proper vessel
why cant u just do the equation normally
without flipping T
and then just 1/the answer
like if i didnt use the reciprical to start
but at the end instead
trim joltBOT
@proper vessel Has your question been resolved?
worldly monolith
why cant u just do the equation normally
who says you can't
rugged latch
how do i do this? ive no idea where to start
trim joltBOT
how do i do this? ive no idea where to start
rugged latch
wait i may be onto something
last rune
It’s an ellipsoid
rugged latch
i found that (0,0,6) was a point, and thus c = 6
last rune
You can try playing with the graph and see how long is x axis, y axis and z axis to get your parameters
last rune
Well, only if you can zoom
rugged latch
unfortunately i cannot
points inside the ellipsoid arent part of the ellipsoid right?
rugged latch
ah ok
last rune
Just the same way a circle is in 2 space
rugged latch
gott it
last rune
(0,0,4) could be a point, i guess
rugged latch
im not too sure
last rune
tbh, it’s kinda hard for me only if that picture is given
rugged latch
yea i understand
(0,4,0) looks like a point
so ig b=4
ok so i got it partially correct
a = 1, b is not 4, and c = 5
3 maybe?
yeeeeeeeeeeeeeee its right
thanks doc, appreciate the help
.close
trim joltBOT
rugged latch
trim joltBOT
Available help channel!
sturdy hare
My calculations are incorrect - I am trying to spot the issue.
sturdy hare
trim joltBOT
@sturdy hare Has your question been resolved?
sturdy hare
.close
teal seal
is cot(-x) = cot(pi - x)?
trim joltBOT
is cot(-x) = cot(pi - x)?
main sigil
is cot(-x) = cot(pi - x)?
yes.
daring karma
Just need help on 36. I was thinking it's the following:
for all x, y, there exists z such that x | z and y | z
daring karma
x,y,z are elements of Z
knotty locust
I'm not entirely sure this is what you are looking for, but this might work
sorry for the spacing
solid kilnBOT
AustinU
stiff crescent
Just need help on 36. I was thinking it's the following:
for all x, y, there exi...
$(\forall x \in\mathbb Z)(\forall y \in\mathbb Z)(\exists z \in\mathbb Z)(z | x \land z | y)$
knotty locust
@daring karma
solid kilnBOT
blanket
stiff crescent
ye lolol
i was always told to separate it by variable, so i usualyl dont combine it with commas like you have in the first line
daring karma
i was always told to separate it by variable, so i usualyl dont combine it with ...
oh okay, thank you
knotty locust
Yah I am very rough with the notation so I am sure that is the proper way
stiff crescent
oh okay, thank you
also just a note that $x | z \neq z | x$
solid kilnBOT
blanket
stiff crescent
$x | z \equiv z = ax, z | x \equiv x = az$
solid kilnBOT
blanket
daring karma
**blanket**
right i forgot that the divisor comes first
stiff crescent
yeah
i always jsut say it out loud to make sure lol
$a|b$ means $a$ divides $b$
solid kilnBOT
blanket
daring karma
that's a good of remembering actually, thank you
stiff crescent
ye np
daring karma
.close
zinc wagon
can someone help me with Q2? i honestly thing that the question is wrong.
daring karma
maybe someone else could help you, but i plugged those 2 values into my calculator and they are not equivalent
trim joltBOT
@zinc wagon Has your question been resolved?
zinc wagon
maybe someone else could help you, but i plugged those 2 values into my calculat...
yes i think it's incorrect too
it should be cos^2 not cos^3 in LHS
trim joltBOT
@zinc wagon Has your question been resolved?
covert whale
trim joltBOT
covert whale
Please help
wraith hinge
find what % are yellow
and then use that to find what 100% is numerically based on the fact 86 are yellow
wraith hinge
assume the store only sells blue green gray yellow
100% = blue + green + gray + yellow
100% - blue - green - gray = yellow
whats yellow %?
covert whale
?
wraith hinge
what
wraith hinge
100% - blue - green - gray = yellow
.
wraith hinge
33.3% are blue
100% - 33.333% - green - gray = yellow
wide knot
Helppp
covert whale
Please
covert whale
How many budgie in the pet shop
wraith hinge
specifically about green...
wraith hinge
convert blue green and gray into percentanges
and use this formula 100% - blue - green - gray = yellow
to solve for the percentage of yellow
wraith hinge
how what\
wraith hinge
Do I just a 1/3-18%-0.2-86
what
what does the question say about blue
write it here
specifically about blue
covert whale
and use this formula 100% - blue - green - gray = yellow
100%-1/3-18%-0.2
wraith hinge
what does the question say about blue
.
wraith hinge
write it here
.
wraith hinge
what is 1/3 as a percentage
covert whale
Idk
wraith hinge
?
covert whale
33.3%
covert whale
18%
wraith hinge
what is 18% as a percentage
covert whale
18%
wraith hinge
yes
covert whale
It’s already a percentage
wraith hinge
what is gray
covert whale
33.3%+18%+20%?
wraith hinge
100% - blue - green - gray = yellow
covert whale
33.3%+18%+20%?
=71.3
wraith hinge
plug into 100% - blue - green - gray = yellow
covert whale
But yellow is 86
wraith hinge
bro
covert whale
It’s 86
wraith hinge
???
covert whale
Tho
covert whale
It say yellow is 86
wraith hinge
yes??
covert whale
86%
covert whale
Is the answer 269?
wraith hinge
????
covert whale
Is it
wraith hinge
no
covert whale
300?
wraith hinge
dude r u gonna do the math
covert whale
So it is 300
wraith hinge
idk i havent solved it
covert whale
Then how do u do it
wraith hinge
Im telling you how to do it
covert whale
What
wraith hinge
i dont understand what your saying
trim joltBOT
trim joltBOT
Available help channel!
amber badger
Given the following decimal number: -76
Convert the above number to signed 8-bit binary.
step 1. 76 in binary -> 1001100
step 2. one's complement 1001100 -> 0110011
step. 3 two's complement
0110011
-
01101001
amber badger
correct?
for some reason, I see an answer of 1011 0100, but that doesn't seem correct
wraith hinge
```text
Given the following decimal number: -76
Convert the above number to sign...
76 in binary
is
01001100
because its 8 bit
then apply 2s complement
10110100
wraith hinge
```text
Given the following decimal number: -76
Convert the above number to sign...
it also wouldnt make sense if you had 76 represented as 1001100 because that would signify it was a negative number, assuming this is signed ints
amber badger
it also wouldnt make sense if you had 76 represented as 1001100 because that wou...
step 1. 76 in binary -> 01001100
step 2. one's complement 01001100 -> 10110011
step. 3 two's complement
10110011
-
101101001
ok, I forgot to include the 8 bits
ty
amber badger
why?
wraith hinge
you can just go from right to left, after you see the first 1 you flip every other bit after it
so 0100
becomes 1100
and 010100
becomes
101100
alot easier to solve mentally (although computers do it using the way you are describing)
amber badger
you can just go from right to left, after you see the first 1 you flip every oth...
I don't see this here.
after one's complement, we have this 10110011
I, then, switch every bit after the first 1 ?
wraith hinge
you dont have to do the 1s complement
step 1. 76 in binary -> 01001100
from there
10110100
amber badger
ah, ok
wraith hinge
after the first 1 bit (3rd place) you flip
amber badger
hmm, might have to notate that
ty
and this is a trick for going from negative decimal to signed 8 bit binary?
wraith hinge
you can just go from right to left, after you see the first 1 you flip every oth...
then use this trick
trim joltBOT
trim joltBOT
Available help channel!
hazy mist
how do i caculate sin(45deg) = 1/square root 2
trim joltBOT
how do i caculate sin(45deg) = 1/square root 2
sterile egret
What do you want to calculate?
You want to prove that sin(45⁰)=1/2^(½)
?
@hazy mist
hazy mist
no i want to find sin45
spark olive
it should be either something you memorise or use calculator for
you can prove it with a 1, 1 , sqrt2 triangle
hazy mist
how
trim joltBOT
@hazy mist Has your question been resolved?
trim joltBOT
@hazy mist Has your question been resolved?
wooden dagger
i don't get the second part, "then sinks at the same rate to its end" - also sry for the repost the other channel timed me out
fervent drift
ok so
its saying
its gonna decrease an equal amount
like
think of a normal roof
it rises, reaches a point, then goes back to the same height it starts
right?
wooden dagger
yeah
fervent drift
and normally the point is in the very centre right?
wooden dagger
yes
fervent drift
so
if u rise 10 feet over the first 3 feet
then u need to decrease 10 feet over the next 3 feet
to make the point in the centre
and to make it even
right?
fervent drift
yep
wooden dagger
cuz 18's technically the center
fervent drift
yes exactly
fervent drift
cuz the 0 (start) and the 36 (end) are both 12
wooden dagger
oooooh
fervent drift
and if it rises equally
its gotta reach 15
like, if u started rising from either side
they would reach 15 at the same point
open crater
In the trapezium ABCD on the smaller base BC and on the side CD take points E and K, respectively, and on the segment AE - point O. Find the ratio AB/BE if KC = 2 cm, KD = 3 cm, OK || AD, ∠OBA = ∠OBE.
open crater
.close
trim joltBOT
trim joltBOT
Available help channel!
slow sonnet
is the answer when k = 0 since k must be less than 1/2
trim joltBOT
is the answer when k = 0 since k must be less than 1/2
@slow sonnet Has your question been resolved?
mossy yacht
why do we sinx/sinx here?
trim joltBOT
why do we sinx/sinx here?
marble wharf
presumably cause it works
marble wharf
when you are solving a limit you play around until you find something that works
it's not always obvious what that is
and here after some time you might notice that you have two terms of sin(x) appearing, so maybe you can try canceling them somehow
and then you get what is in the picture
ionic jasper
yes they cancel later on
they factored out sinx
trim joltBOT
@mossy yacht Has your question been resolved?
trim joltBOT
trim joltBOT
Available help channel!
violet tundra
https://www.youtube.com/shorts/58orMNBsOiw Does this really work as a trick? Or does it not work for all cases, is there any mathematical explanation behind it?
violet tundra
because I tried with 8 choose 4 but it did not give the same result
nevermind I think this trick does work I make a mistake
solid kilnBOT
MathIsAlwaysRight
violet tundra
I see
this is actually incredibly helpful because I need it for binomial expansions
thanks
violet tundra
yes
pascal triangle
I know it works for whatever is to the power of expansion is equal to the number of coefficients
but for larger numbers such as power of 12 for example I couldnt expand the triangle far enough without wasting time
trim joltBOT
@violet tundra Has your question been resolved?
west basin
Hello, how do I tell this bilinear form is symmetric? $$\phi(x,y)=2x_1 y_1 - 4x_2y_2 + 3x_1 y_2$$ ?
solid kilnBOT
lilisworld
west basin
I tried calculatring phi(x,y) and phi(y,x)
how do I know they are equal?
I don't want to use the matrix
<@&286206848099549185>
zinc ginkgo
if it's not symmetric, just find two points (x, y) where they're not equal
trim joltBOT
@west basin Has your question been resolved?
west basin
if it's not symmetric, just find two points (x, y) where they're not equal
ok thanks
.close
winged tundra
trucus help
trim joltBOT
trucus help
winged tundra
so im using the equation
y= 3/(x+3)^2 - 6
i know the asymptotes but i dont know how to get the intercepts
x intercept to be specific
cause if i want find x, i let y = 0
so
0 = 3/(x+3)^2 - 6
oh wait nvm im stupid thanks guys
.close
short star
If A is n x n matrix not invertible, then A has at least one basic eigenvector
drifting lintel
Hi. How do I do this?
trim joltBOT
Hi. How do I do this?
drifting lintel
granite cove
Add all those and make a system of equations Gigachad
drifting lintel
Like this?
drifting lintel
Add all those and make a system of equations Gigachad
And then proceed with Gaussian?
granite cove
Yes, Gigachad
limber light
how do i do this question?
what i done was spot rate -base rate CAD100k[1/1.08] - CAD100k[1/1.2]= US$9259.25/2 =$4629.62 (shared payment by each company for the difference between spot rate and base rate).
CAD100k[1/1.08] -4629.62=$87962.96
but the correct answer is US$90,090.09
limber light
trim joltBOT
@limber light Has your question been resolved?
trim joltBOT
@limber light Has your question been resolved?
limber light
<@&286206848099549185>
trim joltBOT
@limber light Has your question been resolved?
limber light
<@&286206848099549185>
trim joltBOT
@limber light Has your question been resolved?
limber light
.close
trim joltBOT
trim joltBOT
Available help channel!
plush skiff
help
plush skiff
vagrant marsh
Write the matrices like
ab and ef
cd gh
plush skiff
ok
vagrant marsh
Then use systems of rquation to figure out the rest
dry hollow
may anybody please help me with this
pure hatch
.close
agile canyon
Hey guys, not sure how I can explain this but im having a hard time to make a function (in java but you can make in any language you want) to clamp an angle between two other angles. So assuming that my angle is inside the two other angles he stay like that but if he passes that range he will be clamped to the nearby limit angle. In this case i draw a green line that, when an angle is outside that range it will determine what limit angle will be so could be A or B depending on the angle.
main sigil
Hey guys, not sure how I can explain this but im having a hard time to make a fu...
So 2 angles in degrees are given? What's the range of the given degrees [0°, 360°], [-180°, 180°] or what?
Or is it in radians?
agile canyon
So 2 angles in degrees are given? What's the range of the given degrees [0°, 360...
Is in degrees, i guess we can assume that they are inside -180,180
agile canyon
okay, If I had two angles -90, and 90 what should be the result?
i mean that -90 and 90 are the range?
and what is my initial angle
that i want to clamp
in this case i would need an angle that i want to clamp, a min angle and max angle
main sigil
I think I kinda misunderstood your function. Could you show few input-output pairs?
agile canyon
I think I kinda misunderstood your function. Could you show few input-output pai...
I actually found a function that does what I'm looking for. It's just ridiculous because I wasted more than 1 hour looking for things with this lol but this was the expected output:
- Angle: -180.0, Min: -102.5, Max: 57.5, Result: -102.5
- Angle: -170.0, Min: -102.5, Max: 57.5, Result: -102.5
- Angle: -160.0, Min: -102.5, Max: 57.5, Result: -102.5
- Angle: -150.0, Min: -102.5, Max: 57.5, Result: -102.5
- Angle: -140.0, Min: -102.5, Max: 57.5, Result: -102.5
- Angle: -130.0, Min: -102.5, Max: 57.5, Result: -102.5
- Angle: -120.0, Min: -102.5, Max: 57.5, Result: -102.5
- Angle: -110.0, Min: -102.5, Max: 57.5, Result: -102.5
- Angle: -100.0, Min: -102.5, Max: 57.5, Result: -100.0
- Angle: -90.0, Min: -102.5, Max: 57.5, Result: -90.0
- Angle: -80.0, Min: -102.5, Max: 57.5, Result: -80.0
- Angle: -70.0, Min: -102.5, Max: 57.5, Result: -70.0
- Angle: -60.0, Min: -102.5, Max: 57.5, Result: -60.0
- Angle: -50.0, Min: -102.5, Max: 57.5, Result: -50.0
- Angle: -40.0, Min: -102.5, Max: 57.5, Result: -40.0
- Angle: -30.0, Min: -102.5, Max: 57.5, Result: -30.0
- Angle: -20.0, Min: -102.5, Max: 57.5, Result: -20.0
- Angle: -10.0, Min: -102.5, Max: 57.5, Result: -10.0
- Angle: 0.0, Min: -102.5, Max: 57.5, Result: 0.0
- Angle: 10.0, Min: -102.5, Max: 57.5, Result: 10.0
- Angle: 20.0, Min: -102.5, Max: 57.5, Result: 20.0
- Angle: 30.0, Min: -102.5, Max: 57.5, Result: 30.0
- Angle: 40.0, Min: -102.5, Max: 57.5, Result: 40.0
- Angle: 50.0, Min: -102.5, Max: 57.5, Result: 50.0
- Angle: 60.0, Min: -102.5, Max: 57.5, Result: 57.5
- Angle: 70.0, Min: -102.5, Max: 57.5, Result: 57.5
- Angle: 80.0, Min: -102.5, Max: 57.5, Result: 57.5
- Angle: 90.0, Min: -102.5, Max: 57.5, Result: 57.5
- Angle: 100.0, Min: -102.5, Max: 57.5, Result: 57.5
- Angle: 110.0, Min: -102.5, Max: 57.5, Result: 57.5
- Angle: 120.0, Min: -102.5, Max: 57.5, Result: 57.5
- Angle: 130.0, Min: -102.5, Max: 57.5, Result: 57.5
- Angle: 140.0, Min: -102.5, Max: 57.5, Result: 57.5
- Angle: 150.0, Min: -102.5, Max: 57.5, Result: 57.5
- Angle: 160.0, Min: -102.5, Max: 57.5, Result: -102.5
- Angle: 170.0, Min: -102.5, Max: 57.5, Result: -102.5
- Angle: 180.0, Min: -102.5, Max: 57.5, Result: -102.5
this was the working function
.close
trim joltBOT
trim joltBOT
Available help channel!
daring karma
can someone please help me prove this using mathematical induction?
daring karma
i just need help using for the n+1 case
trim joltBOT
@daring karma Has your question been resolved?
daring karma
<@&286206848099549185>
trim joltBOT
@daring karma Has your question been resolved?
wraith hinge
$If $x$ and $y$ are integers and $x^2+y^2$ is even, prove that $x+y$ is even.$
solid kilnBOT
xium
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
trim joltBOT
solid kilnBOT
birdy
quartz yoke
$[4,5) \cup (5, \infty)$ btw
solid kilnBOT
solid kilnBOT
quartz yoke
lets think about it for a moment
solid kilnBOT
birdy
