bold jungle
ohhh
#help-28
brittle steeple
Correct
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brittle steeple
np
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sharp torrent
So with the McLaurin series, wouldn’t the only term ever only be 1?
sharp torrent
I guess my question is: is this a trick question? that is there is only 1 term
rain plinth
So with the McLaurin series, wouldn’t the only term ever only be 1?
no the series is as you wrote 1 + 2x + (2x)^2/2…
when you evaluate a taylor series at c it only has one nonzero term, the first one
light sonnet
I guess my question is: is this a trick question? that is there is only 1 term
Also that's when x = 0
If you have x = 1, or 2 or some other number, it's not going to result in just 1
sharp torrent
oh i think, I overstep what I thought it was asking. so the first onon-zero terms would result in ending in (2x)^3/3!
?
rain plinth
oh i think, I overstep what I thought it was asking. so the first onon-zero term...
yes
a nonzero term means the derivative isnt 0
which is always true here
sometimes (sin(x)) the derivative is 0 sometimes
and we skip over those terms
fervent raptor
Different answers using Pythagoras and trig
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Different answers using Pythagoras and trig
fervent raptor
How is this possible?
shrewd hamlet
,rotate
glossy valveBOT
shrewd hamlet
what is "7N"
fervent raptor
Just 7
N is units of something else
Why do they give different answers
@shrewd hamlet
fervent raptor
Yes it is
shrewd hamlet
hm
is it even possible to have a right triangle of hypotenuse 14 with a 60 degree angle opposite a side of length 8? thats what im wondering
assuming those are the right side lengths, are u sure ur angle is correct?
show the original problem
pearl quest
Well if 7n is not b then you in fact have a problem with how your triangle is constructed
shrewd hamlet
yea 1 of ur measurements is problem
shrewd hamlet
no N probably just means newtons
physics problem
@fervent raptor ur side lengths or ur angles are wrong, seeing as the ratios dont match up
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dull citrus
hi
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gritty rose
what should I do next?
Use b+c =a and solve for k in terms of just a single variable and then maximize
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wet minnow
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wet minnow
Can we use an approach like this to answer the question?
I just don’t know whether the very bottom row gives us any additional information that might be important
ember shadow
the 3rd matrix should be to the right of the vertical line in your augmented matrix
because you're seeing if the 3rd can be written as a linear combination of the first 2
anyway, then you'll have a "0 = 1" in the 3rd row so that means there's no solution
wet minnow
No solution would tell us it's linearly independent since there's no combination right?
ember shadow
I think the way you have it is valid, as well. that just shows that the only solutions (if we call the matrices m1, m2, and m3) to c1 m1 + c2 m2 + c3 m3 = 0 would be if the coefficients were all 0
wet minnow
because you're seeing if the 3rd can be written as a linear combination of the f...
This actually cleared it up a bit
ember shadow
No solution would tell us it's linearly independent since there's no combination...
yes, it means that there are no c1 and c2 such that c1 m1 + c2 m2 = m3
wet minnow
Lovely, helped with my understanding quite a bit
ember shadow
and the reason you can "flatten" the matrix entries into columns is because the set of 2x2 matrices is isomorphic to R^4 (the set of 4 element vectors)
wet minnow
I *think* the way you have it is valid, as well. that just shows that the only s...
So let's say this way was valid, how would we justify whether linear dependence or independence in this case?>?
ember shadow
it'd still be independent for the reason I said, all coefficients would have to be 0
wet minnow
the 0 0 0 = 0 row wouldnt matter?
at the end
or wouldn't give us any useful information is what I'm getting at
.close
fallow crest
can someone explain why mine is wrong?
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can someone explain why mine is wrong?
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fallow crest
<@&286206848099549185>
anyone can help please?
nevermind.
thanks for the not help
waste 40min waiting for nothing
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rough heart
waste 40min waiting for nothing
you never sent a question
people here are skilled in different topics so saying “can someone help me?” doesn’t help anything
fallow crest
I literally asked why my answer doesn't match the ones listed if anyone read that they would understand what my previous question was. The ping was just to get attention as the bot says to ping helpers after 15 minutes
livid violet
Why doesn't 9 work as an answer? It hits (-1,9).
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Why doesn't 9 work as an answer? It hits (-1,9).
orchid quarry
its asking for an equal]tion
in relation to x
or t here
im just saying that based
on my algebra 2 knowledge lol
im not even in calc
runic bloom
Why doesn't 9 work as an answer? It hits (-1,9).
when it’s asking for the particular solution, it’s asking for the equation but C is solved
livid violet
Oh
runic bloom
so solve for C and plug it back into the original
orchid quarry
Its never tha easy
runic bloom
yeahh you can’t assume C = 0
livid violet
plug it into y=mx+b
orchid quarry
o alr
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cloud trench
An ethical hacker, also referred to as a white hat hacker, is an information security expert who systematically attempts to penetrate a computer system, network, application or other computing resource on behalf of its owners. The purpose of ethical hacking is to evaluate the security of and identify vulnerabilities in systems, networks or system infrastructure. It includes finding and attempting to exploit any vulnerabilities to determine whether unauthorized access or other malicious activities are possible.
An ethical hacker is required to randomly guess the correct pin code that consists of the number 0 through 9 that must be entered in the correct order to access a company system.
- What is the probability that the ethical hacker will guess the pin code correctly on the first try?
- There are many variations of this guess. Assuming the primary variation allows the ethical hacker to guess correctly if the four-digit in the number are selected in any order as long as they are the same four digits as set by the IT security of the company.
For example, if the ethical hacker picks four digits making the number 2376, then the he will guest it right if 2376, 3726, 6327, 7632, and so forth, are entered. Consider the following four different versions of his presumptions.
(a) All four digits are unique (e.g. 1234)
(b) Exactly one of the digits appears twice (e.g. 2334, 8185)
(c) Two digits each appear twice (e.g. 1212, 8855)
(d) One digit appears three times (e.g. 2226, 8188)
Find the probability that the ethical hacker will successfully guess the accurate pin code in the first try for each of these four situations.
Show the necessary steps and explanation for the four presumptions stated above.
someone help me with c) and d) please....
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cloud trench
<@&286206848099549185>
shrewd hamlet
Don’t open new channels if u alrdy have
cloud trench
sorry
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rough heart
An ethical hacker, also referred to as a white hat hacker, is an information sec...
Could you explain to me how you solved the first two?
cloud trench
for a) i simply multiplied 10 X 9 X 8 X 7 which would give me 5040. The probability i get is 0.02%.
rough heart
amazing now lets think about this logically, if they can put two digits between 0-9 in any order in two pairs they are basically doing the same thing as the first question but now only guessing two unique digits
cloud trench
for b) i multiplied 10 X 9 X 3 X 4 which is 1080....the probability i get is 0.09%
cloud trench
amazing now lets think about this logically, if they can put two digits between ...
ohhh
rough heart
let me think about this for a second however
cloud trench
okay sure
thanks
this was my working for c) but i’m kinda unsure on whether it’s right or not
rough heart
I actually think it would come down to using the complement rule
cloud trench
<@&286206848099549185>
idle mountain
Sure!
cloud trench
Sure!
what's the right way to answer it?
@idle mountain
<@&286206848099549185>
.close
cloud trench
An ethical hacker, also referred to as a white hat hacker, is an information security expert who systematically attempts to penetrate a computer system, network, application or other computing resource on behalf of its owners. The purpose of ethical hacking is to evaluate the security of and identify vulnerabilities in systems, networks or system infrastructure. It includes finding and attempting to exploit any vulnerabilities to determine whether unauthorized access or other malicious activities are possible.
An ethical hacker is required to randomly guess the correct pin code that consists of the number 0 through 9 that must be entered in the correct order to access a company system.
- What is the probability that the ethical hacker will guess the pin code correctly on the first try?
- There are many variations of this guess. Assuming the primary variation allows the ethical hacker to guess correctly if the four-digit in the number are selected in any order as long as they are the same four digits as set by the IT security of the company.
For example, if the ethical hacker picks four digits making the number 2376, then the he will guest it right if 2376, 3726, 6327, 7632, and so forth, are entered. Consider the following four different versions of his presumptions.
(a) All four digits are unique (e.g. 1234)
(b) Exactly one of the digits appears twice (e.g. 2334, 8185)
(c) Two digits each appear twice (e.g. 1212, 8855)
(d) One digit appears three times (e.g. 2226, 8188)
Find the probability that the ethical hacker will successfully guess the accurate pin code in the first try for each of these four situations.
Show the necessary steps and explanation for the four presumptions stated above.
someone help me answer this pleaseee
torn jolt
Can someone explain these 2 questions, I don't understand fractals or chaos rules at all, would be better if y'all could suggest some resources for me to go through if possible
onyx glen
fractals or chaos rules
why would you need that
also what's a "chaos rule"
pretty sure that #33 is just an application of the quadratic formula
torn jolt
> fractals or chaos rules
why would you need that
Isn't Newton's method based for fractals
onyx glen
did you watch that one 3b1b vid
torn jolt
did you watch that one 3b1b vid
What's that, no
Im pretty new, is that a YouTube channel?
onyx glen
it is, and i had suspected you were going off of that video with the fractal mention.
disregard that.
do you know in general what newton's method is
torn jolt
do you know in general what newton's method is
Not exactly, like I ain't proficient in it and barely piece together what's happening
Any resource that ud suggest I should go through first
onyx glen
can't think of any in particular other than wikipedia
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quartz glen
How would you find the most amount of unique rationals summed together, in the form of 1/x, that sum to 1, However your x has to be between 2-2023?
onyx glen
theres more than one way to do it
and the easiest imo is to just do a greedy algorithm
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quartz glen
and the easiest imo is to just do a greedy algorithm
i'll look that up rq
got any in particular you recommend?
wild sleet
if the greedy algorithm is when you try to include whichever is next, it doesn't find the most terms
like even when you start from largest denominators
quartz glen
yeah and to my knowledge you need a start and an end point for it to work
i seem to just have a start point
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quartz glen
<@&286206848099549185> any ideas for how i could solve this?
robust marsh
is it the question that has 1000€ prize on it
literally the fourth time seeing it this week
quartz glen
literally the fourth time seeing it this week
my school put the question into teams and said it was for some competition
so possibly yeah
i saw some guy on reddit searching the same thing a few days back
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quartz glen
1/4, 1/3, 1/18, 1/36
i'll need to expand this out as far as possible
most ive gotten so far is to 11
halcyon prairie
we can start with x=2, and keep adding new values of x such that the sum of the fractions is less than 1 until we find a set that sums exactly to 1.
quartz glen
i think i saw someone get it out to 470 something
halcyon prairie
i think i saw someone get it out to 470 something
wow
quartz glen
more as a test not with actual numbers
but they checked the maximum number of combinations
579 i think was the actual count
i havent been able to figure out how to get it that far
robust marsh
i think i saw someone get it out to 470 something
do you know how he made it that far?
like any formula or something
and is 579 the maximum
robust marsh
how can they be found
wild sleet
the greedy algorithm
e.g. you pick 1/33 in the existing sequence and try to decompose it starting from 1/500 or something
so it finds something short like 3 numbers, so you can mostly avoid intersections and do it many times
so i started with 32 i think and did it like 10 times
it's waste of time but i had to get 69
robust marsh
do this have anything to do with egyptian fractions
i remember something cool like 1/a=1/(a+1) + 1/(a²+a)
it may help on decomposing i think
quartz glen
could try that
robust marsh
it will definitely work but a lot of work for sure
wild sleet
there's a tiny paper https://www.ijpam.eu/contents/2013-85-1/7/7.pdf
they like found a cool result, with 42 terms under 99
quartz glen
as much as i did this originally to win its actually interesting
unreal garden
given a set of points (x,y) where each x is an n-element vector (basically a data set as this is related to machine learning...), we wanna find the linear function that best fits the given points
unreal garden
im currently studying linear regression and this is basically the problem it introduces ^
worthy ginkgo
It is a linear regression problem
unreal garden
the book im reading proposes gradient descent, going down a hill etc etc (im assuming youre familiar if not you wouldnt bother)
but then it says that the problem can be solved analytically...
worthy ginkgo
Usually you would use the least square method
worthy ginkgo
but then it says that the problem can be solved analytically...
Yes
unreal garden
if we can solve it analytically
worthy ginkgo
With the least square method
unreal garden
might aswell do that and not bother with modifying weights and gradient descent
worthy ginkgo
Exactly
unreal garden
its way faster to do it without gradient descent actually
worthy ginkgo
Gradient descent is usually for non linear functions
worthy ginkgo
because then we cant solve analytically
Exactly
unreal garden
hmmm but wait
im tryna think what the hypothesis space would look like if we considered higher order functions
[
h_{sw}(\mathrm{x}j) = w_0+w_1x{j,1} + \dots + w_nx_{j,n} = w_0+\sum_{i} w_ix_{j,i}
]
this is the current one
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metnal
unreal garden
lemme think 1 sec
ok im stuck
if you can help i can explain the context of this equation?
@worthy ginkgo
basically we just introduce new n weights and join them with $x_{k,1}^2 \dots x_{k,n}^2$?
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metnal
unreal garden
if for example we considered a quadratic hypothesis?
unreal garden
yea the hypothesis
did i say anything that said otherwise?
(that question sounds aggressive dunno why but im tryna make sure my writing is correct cuz im writing everything into a document)
worthy ginkgo
did i say anything that said otherwise?
No
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neat jungle
does the order matter in 5C1*4C1
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does the order matter in 5C1*4C1
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real relic
can i take limits on functions with discrete variables?
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can i take limits on functions with discrete variables?
real relic
as in if I want to find the limit as k->+inf of (k+1)/2^(k+1) in the context of a discrete sum
clear lily
you are summing (k+1)/2^(k+1) with respect to k?
is your sum $\sum_{k = 1}^{\infty} \frac{k+1}{2^{k+1}}$
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heavy
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gritty pagoda
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gritty pagoda
do both series make the same value for Leibniz theorem?
or for n+1, the top of the division is -1?
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rose hedge
can someone please explain pythagoras for me
restive sigil
basically when we have a right triangle
the sum of the squares of the legs (2 short sides) equals the square of the hypotenuse
youll commonly see it written as a^2+b^2 = c^2
gritty pagoda
this is still active
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median beacon
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median beacon
median beacon
draw the line x=y
like this?
torn jolt
yeah
torn jolt
treat the inequality x≤y≤1 as x≤y and y≤1
and ues that line to help you with this
median beacon
torn jolt
I think that's y≤x, not x≤y
torn jolt
yup 
median beacon
kl thx
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torn jolt
Hey guys, I just have a calculus problem on curve sketching, I’ve attached a picture of my work I did by hand, and for clarity there’s the original function with my derivatives and possible inflection points (PIP).
When I input my PIPs into my interval chart, I get the concave up, concave down, and concave up, in 3 different intervals indicating I should have 2 actual inflection points. (0,0) and (1.5,5.15).
When I input it into an online calculator system, it tells me the same inflection points I have, however when shown on the graph, there’s only one inflection point displayed.
Why is that? Did I make a mistake somewhere?
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Hey guys, I just have a calculus problem on curve sketching, I’ve attached a pic...
@torn jolt Has your question been resolved?
dense void
how do i find n?
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dense void
<@&286206848099549185>
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unique bridge
so I've got tan(theta)/(cos(theta)-sec(theta))
regal forge
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so I've got tan(theta)/(cos(theta)-sec(theta))
regal forge
Not really sure how this would be done, sorry
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violet copper
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violet copper
where do i draw the line to make a triangle and a rectangle? it says theres supposed to be a rectangle involved but every line ive tried drawing doesnt make a rectangle
pulsar gale
where do i draw the line to make a triangle and a rectangle? it says theres supp...
its a small triangle
it doesnt have every vertex on the edge
violet copper
its a small triangle
like this?
violet copper
oh wait yea no rectangle
pulsar gale
violet copper
once i find x i can find the area of each rectangle
then find the area of the triangle and thats good?
little patio
I am reading goldblatt's topoi. And there is a section on the lindenbaum algebra of classical logic where it states that [a] = [~a] which to me seems wrong as it is not true that a -> ~a. I will post more details in my channel after I get one
viral jasper
You may have better responses in #groups-rings-fields or one of the other advanced channels
little patio
the book defines the ~c relation as a -> b and b >-a
little patio
You may have better responses in <#496784958430380033> or one of the other adva...
Ah okay thank you friend
viral jasper
happy hunting
little patio
.close
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eternal schooner
Did i do this correctly?
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Did i do this correctly?
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eternal schooner
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vestal bane
A projectile is thrown with an Initial velocity of 100 ft/s at an angle of 15° above the level ground. What is the vertical component of the velocity after 0.6 second
vestal bane
A projectile is thrown with an Initial velocity of 100 ft/s at an angle of 15° a...
I don't know where to start
last ermine
hi, maybe start by calculating the upward velocity
vestal bane
how to
last ermine
you can use a trigonometric function to split the initial velocity into its vertical and horizontal parts
vestal bane
A projectile is thrown with an Initial velocity of 100 ft/s at an angle of 15° a...
is the solution like
100 sin15 - (0) (0.6)
?
im confused
last ermine
what's with the "(0)"
vestal bane
the g was not given
last ermine
well if g is 0, then it's true
i don't know how the question is stated, but i'd assume g = 9.81m/s^2
vestal bane
5., I don't get it
last ermine
well, in no. 8 i see that the answer is v_y = 0, so g must be greater than 0, or else it would never reach a maximum height
so i'd say g = 9.81m/s^2
vestal bane
so i'd say g = 9.81m/s^2
then how did no.5 got the answer 6.68😭
last ermine
or rather 32.185039ft/s^2 maybe
vestal bane
is the key answer wrong?
last ermine
in no. 5, shouldn't it say vertical component?
last ermine
since v_0,6sy -> vertical
so 25,88ft/s - 0,6s * 32.2ft/s^2 = 6,68 ft/s?
100 sin15 - (0) (0.6) like u said, but (32.2) instead of (0)
you copy?
last ermine
it's the earths in ft/s^2
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torn jolt
what that highlighted text really mean?
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what that highlighted text really mean?
ember shadow
looks like a typo
frozen coral
torn jolt
does that mean these two are equal?
ember shadow
no
round gust
Abc is isosceles and right
Bc is 24
I need area of yellow stuff
And also i dont want specifics, just tell me the big steps without calculating anything
I was thinking of finding the area of the triangle, then of the semicircle
But i cant determine its radius
onyx glen
,rccw
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onyx glen
stick together two copies of this picture hypotenuse to hypotenuse
round gust
.reopen
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short crest
did you manage to do it?
round gust
Oh right
short crest
Try what Ann suggested btw
round gust
Yeah what now
short crest
Do you see what shape it makes?
wait no, just show the picture
it'll be easier
or... just do the test first
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hoary summit
wait, there are some problems in the problem
atomic sierra
@night oak
hoary summit
let me fix it
night oak
<@734655182515732561>
Attohotta Kore felo
hoary summit
I found this problem on one of my books, but i have no ideia on how to solve it. Can someone please give me a hint or a direction on where to go please (Sorry if i have bad english, its not my first language)
determine all integer positive values for n, so that for any natural number m>=1, the following is true:
(1 + 2^n + 3^n + ... + m^n) = (1 + 2 + 3 + ... + m)^(n-1)
I tried separating the second part using x^(n-1) = x^n/x, and then tried creating a system to check for possible values of n, but i was unable to to it. Can someone help me please
okay, now its correct
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fossil pecan
I am having trouble graphing standard normal probability can I get some assistance the answer for b is 0.5
light sonnet
I am having trouble graphing standard normal probability can I get some assistan...
I see part a?
fossil pecan
yes part A is the one I am struggling with the second part I have already answered as 0.5 I just don't how to show it on a graph
fossil pecan
So would it look like this?
light sonnet
I don't know how the shading tool works, but is that the region under the curve?
fossil pecan
The shading tool is the blue the second tool makes a line that divides the graph
is this right or should it be flipped?
light sonnet
Is that shaded area under the curve and left of z = 0?
fossil pecan
yes?
light sonnet
If it satisfies what I asked then that's it
fossil pecan
I don't know if that satisfies the question because i don't know how to properly graph the equation
light sonnet
It says what to do here
.
Did you shade under the curve, to the left of z = 0?
Do you know where z = 0 is?
fossil pecan
no
light sonnet
The z axis is the horizontal axis, it has the values labeled
Find z = 0
Then shade every under the curve to the left of that
fossil pecan
So it's A or B?
fossil pecan
So is it this?
light sonnet
Is that left or right of z = 0?
fossil pecan
Left
light sonnet
Do you know what direction is left and right?
fossil pecan
I have asked if it should be flipped or not I just need to know if it is correct
light sonnet
And I'm asking if you know what left and right means?
fossil pecan
light sonnet
Take this, what color is to the left of the line?
fossil pecan
I got it
light sonnet
Now answer what I asked before, is that shaded area below the curve and to the left of z = 0?
fossil pecan
Yes
light sonnet
So if it satisfies that question I asked, then it's correct
fossil pecan
I gotta say the question to question approach isn't very helpful and only confused me more
light sonnet
The overall question was self explanatory.
All you needed to do was shade under the curve to the left of z = 0
You kept shading above the curve too
But that's not what the instructions said
The instructions also said to the left of z = 0, yet you presented right of z = 0
It's a matter of reading comprehension
fossil pecan
so what if it's shading everything under the curve of -1.50?
light sonnet
Same concept, find where z = -1.50 is and shade under the curve, in the direction it wants (because you didn't specify left or right of z = -1.50)
fossil pecan
It’s left
light sonnet
Then find where z = -1.50 is and shade under the curve to the left of that
light sonnet
Do you know where z = -1.50 is?
fossil pecan
or would it just be the whole curve or that above it?
light sonnet
Does it say to shade above the curve at all in that statement?
light sonnet
So then why do you care about above the curve if it doesn't say anything about above?
fossil pecan
I am confused at what's asking because it would be where the hraph can not show 50
\so it would be all the way now here?
light sonnet
Closer
But not quite
Do you see how each unlabeled tick, between the numbers, is halfway?
light sonnet
So between -3 and -2, there's a tick there, which is halfway, so that's -2.5
light sonnet
wait did iI go too far
Yes
fossil pecan
is it A or B?
light sonnet
Do you know how to read the ticks on an axis?
fossil pecan
no I have forgottem
light sonnet
I suggest you to review that because it seems most of your questions are based on shading left/right of a certain z value
And if you can't read an axis, it makes it harder for you to complete the question
light sonnet
Yes
Fyi, you are on a site that grades as you go, I believe, you can use that to check your answer
fossil pecan
I am But I just don't want to lose my streak
light sonnet
And why does that matter? Missing questions shows what you are lacking knowledge in and what you should study more on
Nobody is perfect
fossil pecan
Yes I know but it is very frustrating when you are close to the end and you get an answer wring and you are set back by it
fossil pecan
Becasue i have so much more work to do
light sonnet
You miss questions, it's fine to start over
You just get more practice
The more practice you get, the easier the topic gets
fossil pecan
I see
light sonnet
If you keep doing the process over and over again, with learning, it gets easier
Think about riding a bike, you just don't get on a bike and just ride. You learn first, with training wheels, then when you get comfortable, you remove the wheels, then go on just two wheels. If you ride and fall down, you get back up and learn what went wrong and try again
Same idea with any subject, you learn the material in class then you do practice problems (like training wheels), then you get to the homework and to work on it (like riding a two wheel bike), you miss some questions, then you go back and look at why you missed it, and try again, until you get comfortable with it
fossil pecan
Is there a massive difference between 1. And 0. Same with -1. And -0.
light sonnet
What's the context?
fossil pecan
I wanted to try one by myself
light sonnet
Is there more context? Like what is the question asking?
light sonnet
Between 1 and 0 means it's on the right side, and between -1 and -0 is to the left
If you looked at the axis, you can see that
That all the positive values are on the right and all the negatives are on the left of z = 0
fossil pecan
?
light sonnet
Remember what I said above? You can get the site to check it for you
It's how you learn
fossil pecan
I know but I just hate not knowing if it’s actually not right
I don’t want to be stuck on this for the day because I have a lot more math to do
light sonnet
I know but I just hate not knowing if it’s actually not right
Does it not tell you if it's correct if you submit it?
fossil pecan
It does
But I also just start doubting myself before I submit and always have to trust me gut
light sonnet
Then like I said, you should use the site and let it check, and if you get it wrong, you can learn what went wrong and try again
fossil pecan
Yes but it doesn’t immediately mark it wrong but instead gives me a second chance to get it right
light sonnet
Does it tell you if you got it right or wrong on the first attempt?
fossil pecan
Yes it would either say the answer is not right (a) or (b)
fossil pecan
It said it was wrong so i simply moved on
light sonnet
?
Then you deviated from what you did here
Because that is correct, that is under the curve and to the left of z = -1.00
lean copper
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lean copper
so im stuck at this problem and have been trying to solve it for the past 15 minutes but nothing yet
I can't find anything useful
glossy valveBOT
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lean copper
<@&286206848099549185>
autumn bridge
I was thinking the same
sour drum
u correct
after finding bd
then DC
is the same as BD
then just right it like that
lean copper
do you know SOH CAH TOA
no i dont think so
sour drum
ok i am waiting
autumn bridge
wait but the angles are 60 and 45
sour drum
yup then that means that the triangle is not a right angled triangle
we can also do SOH CAH TOA to find for x to
after u found /BD/
we only have the opposite and hypotenus
so
its possible
so do u understand @lean copper
autumn bridge
nah you can't
gotta be a right angled triangle to use soh cah toa
but here it isn't
autumn bridge
the problem is that it's false
sour drum
u know there are 2 triangles in that question
autumn bridge
wait
lean copper
u can use SOH CAH TOA
i dont get whats COH TOA SOH
sour drum
i dont get whats COH TOA SOH
so u dont know SOH CAH TOA
lean copper
i dont thing that it formes a right angle
lean copper
so u dont know SOH CAH TOA
let me google it since i dont do math in english
lean copper
soh is basically sin cos ang tan?
lean copper
yeah
autumn bridge
don't worry about soh cah toa if you havent learned it yet it means you dont have to use it and here you can t use it
sour drum
don't worry about soh cah toa if you havent learned it yet it means you dont hav...
yup
there has to be another way
lean copper
well i think i know it but out teacher said that this problem is kinda advanced
autumn bridge
nothing is too advanced if you really work on it
sour drum
yup true
autumn bridge
oh
lean copper
well this one seems to hard for me but i really want to solve it
autumn bridge
I think I have something
sour drum
let us see
lean copper
why?
autumn bridge
because you know the sum of the angles in a triangle is equal to 180
lean copper
yep
sour drum
yup
lean copper
yeah
sour drum
uh ok
lean copper
thx
autumn bridge
That isn’t the actual answer but I think it is an important thing to see
sour drum
yup
lean copper
but that angle is 45
sour drum
he said
autumn bridge
Oh
lean copper
the angle is 45 degrees not 90
sour drum
oh yeah
lean copper
so he means pi/4
sour drum
its true
autumn bridge
Pooh
sour drum
so its pi/4
autumn bridge
Yeah I did a completely wrong answer I am sorry
lean copper
yeah but if its pi/4 he cant represent that angle as pi/2 -x
what if we draw a circle outside do you think we get something?
autumn bridge
Idk
lean copper
told you this one is hard
autumn bridge
That’s why I will solve it
autumn bridge
i am searching
I will find it
Ok I will have the answer and search why it is that answer after
autumn bridge
ok so
I can’t find how to get the exact length we want
But
If the side was 6,42 that would be the answer
autumn bridge
Computer go brr
lean copper
lol
autumn bridge
Nah I just put the exact data we had and it finds this
But why that’s the question
lean copper
is the awnser?
ok
now make your pc go even more brrrr
my man this thing is imposible
autumn bridge
lmao yes
autumn bridge
maybe
lean copper
nothing pops up lol
autumn bridge
yeah
autumn bridge
I will tell you when I find it
autumn bridge
Np
lean copper
nothing new i suppose
its ok bro maybe my teacher forgot to include some information
ill ask him tomorrow
autumn bridge
broo 🗿
lean copper
yeah
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lean copper
dont we need to prove that?
loud hound
it's ez though.
same base same height.
notice we have same length base. it's ez to prove we can use the same height.
torn jolt
<@&286206848099549185> please I can't find the solution
ever heard of the sine law ?
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lean copper
ever heard of the sine law ?
how can we use sin law there?
pulsar gale
@autumn bridgesimple
that dropped line is perpendicular to the base
two right triangles
@lean copper
since both triangles have two of the same side lengths they are similar
therefore ACB is 60 degrees
lean copper
that dropped line is perpendicular to the base
how can we prove that
pulsar gale
and ABD is 45 degrees
its not actually I scrolled up
ignore that
actually wait
i dont think |BD| can equal |DC|
cause then the angles are 105, 45, and 65
which is more than 180
did you make up this question
pulsar gale
whats the answer
lean copper
whats the answer
i dont even know tbh
pulsar gale
i dont think its a possible triangle
lean copper
i thought someone would solve it
pulsar gale
cause then the angles are 105, 45, and 65
because ^
lean copper
i dont think its a possible triangle
maybe he gave the information wrong
pulsar gale
yeah maybe
lean copper
i will ask him in about 7 hours when im at school
pulsar gale
alr
torn jolt
that dropped line is perpendicular to the base
it is not perpendicular its just a median
pulsar gale
it is not perpendicular its just a median
Keep reading
torn jolt
since both triangles have two of the same side lengths they are similar
you can't conclude that two triangles are similar just from two points which are in this case two sides are proportional you need to have the three are proportional and this is (SSS case) or the three angles are the same (AAA) or two angles are the same and one proportional sides (ASA)
loud hound
is BAD = 60 degrees?
torn jolt
is BAD = 60 degrees?
yes
loud hound
do you notice area of ABD = area of ADC?
torn jolt
do you notice area of ABD = area of ADC?
could you prove that they are equal?
loud hound
okay, do AH is perpendicular with BC.
torn jolt
ok
loud hound
$S_{ABD} = \frac12 \times BD \times AH$, we have BD = DC so $\frac12 \times BD \times AH = \frac12 \times DC \times AH$, which is the area of ADC.
glossy valveBOT
Z_char
torn jolt
anyway I'm not saying you're wrong but to make sure I'm calculating the angles as we speak
loud hound
then do DP and DQ are perpendicular with AB and AC respectively. you can represent them with AD and tri easily.
then only variable is x, then solve it.
torn jolt
then only variable is x, then solve it.
I notice that more than one person says that this problem is not solvable so I'm trying to prove that first then I'll solve it if it is possible
loud hound
I notice that more than one person says that this problem is not solvable so I'm...
plz check the procedure. if there is no mistake, then it's correct.
torn jolt
plz check the procedure. if there is no mistake, then it's correct.
which one ?
loud hound
first, are the areas the same?
torn jolt
first, are the areas the same?
I'm not sure about that so I'm using a different approch
as soon as I find something I'll let you know
loud hound
…ok, sure.
pulsar gale
you can't conclude that two triangles are similar just from two points which are...
???
ss similarity
they share two side lengths
wait nvm thats not a thing
geometry was a long time ago
torn jolt
ss similarity
its SSS I looked it up.
torn jolt
geometry was a long time ago
it's ok I had to google it to be sure I hadn't used similarity for too long myself
torn jolt
seems an impossible triangle since the angles I found them to be zeros 😂 😂
torn jolt
seems an impossible triangle since the angles I found them to be zeros 😂 😂
I'm talking about angles ABD, ACD, ADC, ADB all of them I calculated them to be zero
torn jolt
first, are the areas the same?
Actually they don't have the same area
autumn bridge
The answer should be x=14.6 btw
torn jolt
The answer should be x=14.6 btw
how ?
loud hound
Actually they don't have the same area
could you show your steps?
autumn bridge
I used something like geogebra
loud hound
plz show them.
autumn bridge
Omg can’t we use the relation of proportion of sin/side
Like for example
Sin(B)/X = Sin(C)/AB = sin (A)/2BD
And we know the A angle
torn jolt
Sin(B)/X = Sin(C)/AB = sin (A)/2BD
but we don't know 2BD, Sin(B), Sin(C), AB
torn jolt
could you show your steps?
Actually It seems correct
torn jolt
Actually It seems correct
while re-calculating I figured I was wrong and when I followed your Hypothesis I found the exact same answer as @autumn bridge got which is 6*sqrt(6)
torn jolt
I used something like geogebra
what is it's name ?😅
autumn bridge
Website
torn jolt
Show us how you did it
Sorry, I discovered a mistake in the previous calculation and I fixed it this is the correct calculation
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noble pelican
Can somebody help me out with this one? I need to prove that this made up operator is linear, a.k.a. using some algebra I need to prove Additivity and Homogeneity . . .
noble pelican
I've tried this:
But I'm completely stumped on the Additivity's proof.
Meanwhile Homogeneity's proof is suspiciously naive.
fast peak
this is mostly a proof about knowing where the brackets are supposed to go
in which order are you doing stuff
do it very slowly and put even more brackets
noble pelican
I'll try to do additivity, I just got a idea
I think I proved Additivity ( I'm not too sure how to handle two functions if you have a resource on that please link it to me), but I still don't understand how to prove homogeneity, unless that's the way to prove it, which I think it's a bit dumb
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Available help channel!
torn jolt
hey
torn jolt
in the red square
what i arrow i need to put
down or up
what is the sign of the derivative there?
wait bro
its |-
torn jolt
what is the sign of the derivative there?
glossy valveBOT
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uncut dragon
Three pairs of travellers holidaying together find themselves in the same hotel. One pair consists
of two males, another two females and the third a male and a female.
If one of the females is about to return home sick, what is the probability that her travelling
partner is also female?
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Three pairs of travellers holidaying together find themselves in the same hotel....
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open isle
whats a difference between eigenvector and unit eigenvector?
ember shadow
unit probably means it has unit magnitude, or ||v|| = 1
open isle
unit probably means it has unit magnitude, or `||v|| = 1`
like in this scenerio
eignvector is -1,-1,2
but idk why it would be wrong
ember shadow
try dividing by the norm?
open isle
wdym norm
gritty rose
norm = length of vector
if $v$ is a vector of length $||v||$, then $\frac{v}{||v||}$ has what length?
glossy valveBOT
riemann
gritty rose
n=3 here. we omit the subscript 2 for simplicity
ember shadow
no, you didn't calculate the norm correctly
what is the sum of squares of the vector's elements?
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glad whale
Hello
glad whale
what do i do in this situation
I am only allowed to use matrix approach
and i got |A|=0
So im not sure what i do after this one
torn jolt
use gaussian elimination
glad whale
Ok
fathom terrace
So, there was a question that looked smth like this on the math test I took recently
willow sedge
Are you sure that's it?
fathom terrace
Where I needed to find the measure of BD
fathom terrace
Well, your figure is not to scale
Well, it wasn’t drawn to scale on the test either
Anyway, I got 5 as my answer
But I feel like that’s wrong
willow sedge
Is the central angle given?
fathom terrace
I don’t think so
Wait, actually
Yeah, I don’t think it was given
Wait, yeah, it’s 5
Isn’t it?
The central angle might’ve been 60, but I’m not 100% sure
willow sedge
Well, its an isosceles trinagle and nothing else is given
fathom terrace
Well, its an isosceles trinagle and nothing else is given
Wdym?
The central angle’s 60 I think
willow sedge
The central angle’s 60 I think
Then its pretty easy
fathom terrace
Then its pretty easy
5?
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desert cypress
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drifting dune
,rotate
glossy valveBOT
desert cypress
whoops mb
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desert cypress
<@&286206848099549185>
stuck summit
which kinematics equations are you allowed to use
because that in itself is a kinematic equation
pulsar gale
which kinematics equations are you allowed to use
obviosuly not that one then
use the other 4
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solar quartz
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solar quartz
Hello, I am trying to find out how the 2 in the solutions was arrived at. And whether there are other ways to reach the goal.
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