can someone show me how to setup part a?
#help-0
mild dragon
misty mountain
wouldn't 3 be equal 55 degrees?
rigid smelt
can someone show me how to setup part a?
is this a quiz?
alpine sable
how @misty mountain
alpine sable
"Quiz15.pdf"
alpine sable
and why is this marked
?
alpine sable
What is marked?
ionic jewel
have it memorized lol
placid zinc
Yeah you'd need a calculator
alpine sable
Can you elaborate marked?
rigid smelt
as in graded, is it a test?
misty mountain
on the questions it says (1 point)
rigid smelt
its just a yes or no question with further detail for explanation
ruby current
(18+8) * 10 + 8*8 = 324. add the last digit of the second number to the first number, then multiply by 10 and add the product of the two last digits. this works for the product of two numbers under 20
rigid smelt
well ima take your words for it, question 3 4 5 are wrong
5 is missing answers
oh nvm, i thought it said 2 pairs of angles, 5 seems correct
alpine sable
Ok I was going to say im confused lol
So if 3 isnt 70 what am I supposed to do?
Is there a formula
I thought it was 180-110
rigid smelt
BD bisects ABC
180 -110 implies the angle on the other side of ABC
and nvm, 5 is indeed incorrect, SRO and SRQ are not complementary
they add up to 180 not 90
alpine sable
complementary means 90 though
rigid smelt
yeah which is why its wrong
alpine sable
How so?
rigid smelt
they add up to 180 not 90
...
rigid smelt
SRO+SRQ=ORQ=180
ruby current
complementary means 90 though
complementary means they add up to 90
rigid smelt
find two angles that add up to either SRO or SRQ?
alpine sable
Okay, how do I solve 3 and 4?
rigid smelt
use the information
BD is an angle bisector of ABC
and you know the measure of ABC
alpine sable
Okay?
And what do I do with that information.
I understand that its a bisector
I understand ABC is 110
rigid smelt
what property does an angle bisector have?
in question 4 how did you draw the conclusion that QRU=SRU=50 degrees?
alpine sable
What property does it have? I'm confused
rigid smelt
in question 4 how did you draw the conclusion that QRU=SRU=50 degrees?
can you answer this question then?
rigid smelt
yes
alpine sable
@rigid smelt what did I get wrong on 4
dull oak
I know this is physics but there's a great overlap between people who do physics and math so wondering if anyone can help
left echo
is the equation of the axis of the curve for this graph y=1 or is it something else
viscid topaz
I do physics, but that's only incidental to the fact that everything IRL counts as physics
I'm guessing the question is solve for resistance for A and B?
prime badge
curios
prime badge
it seems that 330 ohm thing will have no current
viscid topaz
Of the circuit with current passing through A to B?
Are you able to calculate resistance in parallel? Are you able to do so in serial?
prime badge
it's 100 | (220 + 470), you just ignore 330
it's essentially not conducting
i may be wrong
i'm probably wrong
viscid topaz
Yeah you are lol
left echo
LMAOO
viscid topaz
@left echo grab an open channel, something that didn't have an active question
left echo
<@531658382122287105> grab an open channel, something that didn't have an active...
can u just answer it’s an easy question
i just wanna make sure
viscid topaz
Yeah @left echo
warped phoenix
is this channel in use?
rigid smelt
1/2(20)+10
tell me how this equates 50
alpine sable
what
rigid smelt
again 1/2 * 20 + 10 does not equal 50
alpine sable
so instead what should it be
rigid smelt
how can you cancel the 1/2 on the left side?
vale wigeon
if it was written as x/2 = 40 would it be more clear what to do?
alpine sable
So would I just divide 40 by 2 then
Use the graph of ƒ to find where ƒ (x) < 0. Assume the entire function is graphed.
(–∞, 0)
[0, ∞)
(0, –∞)
(0, ∞)
help?
odd python
alpine sable
so c ?
alpine sable
@vale wigeon
vale wigeon
So would I just divide 40 by 2 then
you can divide 40 by 2 if you want
you can also divide 37 by 42069 and add 11.4234
not that it'd be of any relevance to the equation
x/2 = 40 does not become x = 40/2
viscid topaz
Yeah, 1
left echo
bet thanks
alpine sable
@vale wigeon so x = 20
alpine sable
Okay so qrs = 70?
vale wigeon
what is qrs
prime badge
i gave a nequation u gotta find the channel now
unreal plover
can anyone give me a hint on the setup of this problem?
vast bobcat
I've drawn the diagram but I need help proving
<@&286206848099549185> sorry for ping
old cobalt
cinder lily
My brain hurts so much
have you done it?
covert agate
https://www.geogebra.org/m/d4hsce9f
is rotation allowed
slate arrow
yes
slate arrow
have you done it?
nope im still trying
covert agate
only rotation is allowed?
cinder lily
its not possible
covert agate
can i turn that L piece into a J piece
slate arrow
its not possible
whats the point of the hints then .-.
cinder lily
im still trying
covert agate
so
removing the I piece
we must fit the remaining 3 in either 3 x 4 or 4 x 3 rectangle
slate arrow
Yeah
placid zinc
And since you can rotate all, wlog you need to be able to fit the remaining 3 in a 3x4
placid zinc
Does it tell you if you've won?
cinder lily
the hint is kinda useless
cinder lily
i think its not possible
cinder lily
yep
placid zinc
Okay, so why isn't it?
covert agate
Okay, so why isn't it?
there are only so many combinations with the remaining two
i don’t see any
that work
cinder lily
yep
placid zinc
The hint is actually super useful
hybrid patio
is this occupied?
placid zinc
It gives a very precise way to show this is impossible
hybrid patio
Ok.... I have a question I need help with, would any of you help me?
slate arrow
It gives a very precise way to show this is impossible
Ah
So it’s impossible
And the hint was misleading
And I spent about 2 hours figuring it out
Lmao
placid zinc
The hint isn't a hint that shows "This is how you do it"
hybrid patio
Im upto the second line but and Ive put everything in 1/2 x 25 x 18 but im not sure what the height is
placid zinc
The hint is a hint towards the proof of "This is why it can't be done"
slate arrow
Ah ok
covert agate
Im upto the second line but and Ive put everything in 1/2 x 25 x 18 but im not s...
36 cl
cm
cinder lily
i dont know how we can prove it
cinder lily
other than testing the cases
ionic jewel
ah too bad for the pieces in the puzzle there
i actually knew that trick before looking at the hint
missed the convo
cinder lily
whats the trick?
placid zinc
Do you want the answer? I suggest clicking the hint box and investigating the state
Can spoil if you'd like
cinder lily
the hint im guessing it showing where the pieces can go
ionic jewel
||number of colored-in squares on the pieces is not the same as colored-in squares in the puzzle area||
answer obviously
hybrid patio
What do they mean by internal volume
cinder lily
oh wow
ionic jewel
probably just the volume inside the fridge as opposed to outside of it
i imagine it just wants volume
ionic jewel
Just multiply them all toegether and I get my answer?
check the units
make em match to what you want then multiply
hybrid patio
ok will do
harsh swallow
the walls of the fridge have thickness
that's why they used the word internal
to specify
as the internal and external dimensions are different
hybrid patio
Im guessing the answer is 907,200 cm3
ionic jewel
the walls of the fridge have thickness
yeah but you don't know the thickness
harsh swallow
yeye but the reason for using the word internal is because unlike abstract solids, a fridge has walls with thickness
ionic jewel
you could make it a variable, but i think it would have said if it wanted all that
harsh swallow
instead of just area
hybrid patio
Where do I check my answer
cinder lily
maybe at the back of the book
hybrid patio
There isn't any answers at the book of the book
harsh swallow
,w 180 * 60 * 84
hybrid patio
back*
ocean sealBOT
harsh swallow
👍
harsh swallow
what's the amplitude
left echo
2
harsh swallow
isn't'it stretched vertically by 2
left echo
is it
left echo
isn't'it stretched vertically by 2
yes
it is
i accidentally selected two of the same answer
ignore the phase shift right pi/2 that ones wrong
inner shell
yeah were missng one outta these
harsh swallow
the frequency
left echo
yeah were missng one outta these
@harsh swallow
harsh swallow
what's the frequency compared to the original frequency of cos
can also think about it in terms of period
compare the period of a normal cos
to this one
left echo
i think it’s either reflection over the y axis or x axis
but idk which one
could u graph the formula and tell me what u think
f(x)=-2cos(3(x+pi/2))+5
left echo
bro what
harsh swallow
horizontal stretching
the period of a normal cos is 2pi
and the period of this one is 1/3 * 2pi
so the horizontal stretching is by 1/3
which is one of the options
left echo
which is one of the options
so there’s a horizontal stretch by 1/3 is right ?
harsh swallow
yes
left echo
the amplitude ik is 100% 2
harsh swallow
period of 2/3 pi
vertical stretching of 2
domain x x in R
horizontal stretching of 1/3
amplitude 2
vertical shift up 5
phase shift left
and then probably one of the reflection ones
median tendon
Graph it and find out
left echo
Graph it and find out
bro i don’t know
median tendon
You dont know how to graph that?
left echo
Doesn't look like its symmetrical about any of the axis
so there’s no reflection among any axis?
then what’s the answer
median tendon
Idk, maybe the range option?
left echo
it’s not
median tendon
That symbol is subset? I forgot this stuff
left echo
what that mean
median tendon
Are u sure its not the range option? I haven't done this sort of thing in a while but isn't the range of this function an element of the real numbers?
left echo
Are u sure its not the range option? I haven't done this sort of thing in a whil...
yes it’s not the range option
median tendon
Why though? R u just guessing or do u have reasoning for your answer
median tendon
making this the answer?
Yes
tired ledge
but i thought when dividing binomials, all values have to be divisible by the divisor?
and -15y cant be divided by -4 ??
median tendon
and -15y cant be divided by -4 ??
Why do u think that?
tired ledge
omg is it because of the y...
median tendon
15/4 is the coefficient of y
tired ledge
so what ure saying is if there was no y in 15, the answer will be as is? -15-20/4 ?
however since 15 has a variable, only -20 can be divided by -4?
median tendon
15y/4 = 3.75y
proven veldt
I'm struggling understanding this definition of product between polynomials suggested by my linear algebra papers
velvet pelican
I'm struggling understanding this definition of product between polynomials sugg...
try to look at the coefficients of each power of x
the coefficient of x^k is determined by the coefficients of x^p and x^q where p+q=k
so the a_p x^p term comes from the left term
proven veldt
try to look at the coefficients of each power of x
They are using indexes in a really weird manner in this definition. That's mainly what is causing me all these doubts
velvet pelican
which part
proven veldt
The second part
At this point... can't I just write a single sum putting x^k inside of it?
Instead of nesting two sums?
velvet pelican
you need the sum with p+q=k to express the product of the polynomials in terms of the coefficients of the original polynomials
you might find it easier to understand an equivalent way to write it as:
$$\sum_{p+q=k} a_p \cdot b_q = \sum_{p=0}^{k} a_p \cdot b_{k-p} $$
ocean sealBOT
Frosty
proven veldt
**Frosty**
Oh, this is not my doubt
My doubt is that i supposed that, since they used k for every sum, that they were having same degree
I think I'm kinda understanding it
velvet pelican
hmm yea try writing it out with the full sum notation without the same degree, might help
dull onyx
i got the function f(x) = alnx - bx^2 and its telling me to find the derivative of f for every x that belongs to its domain
well i found the derivative but idk what the next part is 🤦
vale wigeon
what next part?
dull onyx
the way i didnt post it sorry
it says find a and b so the tangent line at point A(1, 1) of f will be y = 3x - 2
glass lichen
you need f(x) to go through A, and have the same slope as the line at A
glass lichen
f'(1)=3, yes
dull onyx
yes
glass lichen
since the derivative itself clearly isnt a constant function, but that's one equation for a and b
then use the fact that f goes through A..
dull onyx
yes thats what i was confused abt
glass lichen
3x-2 is tangent to f at (1,1), so that means f(x) has to go through (1,1)
so ||f(1)=1||
glass flare
is this correct?, the intergal of f(z)=z^2. where f(z) is a complex function
lunar vigil
does anyone do physics here? grade 11 and 12
glass lichen
does anyone do physics here? grade 11 and 12
dont ask to ask.
alpine sable
Can anyone explain why 6 . 0,5 = 0,6 . 5? What is the logic behind it?
glass lichen
Can anyone explain why 6 . 0,5 = 0,6 . 5? What is the logic behind it?
0.5=5/10
$6\cdot \frac{5}{10}=6\cdot 5\cdot \frac{1}{10}=\frac{6}{10}\cdot 5$
ocean sealBOT
Mosh
alpine sable
@alpine sable just (a/10)b=(b/10)a
I get it now, a new way to think about math, cheers!
glass lichen
re: commutativity and associativity of multiplication
alpine sable
It is one of those things that the book mentions without explaining the logic behind it.
brisk tree
I've never handled inverses in limits and I'm stuck cause i can't compute the inverse of f. Are there other ways to go about it?
wise sigil
@brisk tree Well $f(x) \approx 8x^3$ so $f^{-1}(y) \approx y^{\frac13}/2$. From this you can guess that the limit is $\frac12$.
unborn dome
can someone help me with this please i have no clue
wise sigil
To make this rigorous you can rewrite $\frac{f(x)}{x^3} = 8 + \frac{3}{x^2}$ in terms of $f^{-1}(y)$ to get an expression of the form $\frac{f^{-1}(y)}{y^{\frac13}} = \cdots$ which you can take the limit of easily
brisk tree
Thanks
swift wedge
this is wrong isn't it
alpine sable
this is wrong isn't it
yup
do you think subtracting 0.14 from both sides will cancel out the 0.14r?
answer me bubbuh!!
swift wedge
no
im just trying to remember how to do that
wait wait
hold on let me think
no idea
wanton vortex
think about how you can undo multiplication
alpine sable
^^
wanton vortex
if 0.14 was being added to R, then subtracting 0.14 from each side would be okay
swift wedge
R=100
which is odd
I feel like it should be higher
this is more engineering than maths
Voltage = Current (in amps)/ Resistance
trying to find R
well rather
so
i have a 14v supply at 5A
i want it to be 0.14A
wanton vortex
swift wedge
So basically im trying to find the resistance to transform 5A to 0.14
which shouldnt be 100 should it?
median tendon
Im a bit confused, how do u know the current before hand, isn't is determined by the rest if the circuit?
median tendon
What does your circuit look like?
swift wedge
I did only start learning electronics a few days ago so i've most likely got this whole thing wrong
median tendon
Could u post the whole question?
I mean if u have a 14v source and want a current of 0.14A within a circuit, you would want 100 ohm resistance
alpine sable
umno terus mara untuk rakyat malaysia
neat kayak
Imagine you are set designer for Universal Studios movie company. You plan movie sets using
freehand sketches and your computer. In one scene, a banner will hang across a parabolic
archway. To make it look interesting, you have decided to put the banner at an angle along a
line defined by the linear equation y = 0.24x+ 7.2, with x representing the horizontal distance
and y the vertical distance in metres, from the foot of the archway. The archway is modelled by
the quadratic equation y = - 0.48x2+ 4.8x.
wanton vortex
hello orang yang nampaknya berasal dari Malaysia
neat kayak
How can you use the equations to determine the points where the banner needs to be
attached to the archway? You can use Technology or the grid below to help with your
explanation.
anyone know this
alpine sable
helo helo
swift wedge
Imagine you are set designer for Universal Studios movie company. You plan movie...
I hate linear equations but I need to practice them again lol
neat kayak
oh lol
harsh swallow
,w plot 4/3(x-3)/((x+1)(x-4)), x from -10 to 10
ocean sealBOT
swift wedge
nvm im an idiot you can ignore my question lol
smoky harness
Assume sequence {an} that satisfies |an-a(n+1)/2|≤1,n∈N+
-
Prove that|an|≥2^(n-1)(|a₁|-2)(n∈N*)
-
If |an|≤(3/2)^n,n∈N*, prove that |an|≤2,n∈N*
Help
rich haven
do they mean the circumradius?
alpine sable
do they mean the circumradius?
yeah
dusty viper
Is anyone getting help? Can I ask for help?
jagged raptor
i think radius of an inscribed circle
vapid oak
Is anyone getting help? Can I ask for help?
depending on what you need help with I'd be happy to help to the best of my ability 🙂
dusty viper
Well okay wait a sec
I have this question
And I can’t prove it, every idea of mine didn’t work
vapid oak
just to reiterate in text form, f(f(x)) = x^2-x+1
im sorry i have no idea how to tackle this 😦
dusty viper
Yea same, I tried proving that f is a 1-1 function but you can’t prove it without knowing f(x)
dusty viper
It’s a 1
pearl marlin
Ok
vapid oak
its really annoying because its not factorisable.
dusty viper
Exactly
vapid oak
I don't want to come off as rude but you're sure that is definitely the question?
i dont see how you would go about doing this unless youre dealing with the complex numbers
dusty viper
Yes that’s the question, you’re not rude, I thought about the same thing when I first saw it
The teacher probably didn’t write everything
vapid oak
i mean its 'locked in'
like when i think of questions i cant tackle i picture it and think, is there any room for ambiguity? but it doesnt seem so
its hard to think of why tho
pearl marlin
Try F(f(f(x))
halcyon geode
my first idea would be to try and differentiate to get something about f', but that doesn't seem right tbh
keen jasper
apply f to both sides
dusty viper
my first idea would be to try and differentiate to get something about f', but t...
we haven’t been taught about f’ at school yet ,so I basically cannot use it anyways :/
dusty viper
apply f to both sides
U mean to the normal function or to the f(1)=1?
halcyon geode
apply f to both sides
me, realizing i missed the obvious
pearl marlin
f(f(1))= 1
Now f(f(f(x))= f(x)^2-f(x)+1
Put x=1
f(f(f(1)))=f(1)^2-f(1)+1
Procced
It will become f(1) = f(1)^2-f(1)+1
You know now what to do
dusty viper
Wow
How didn’t I think of that
Thank you so much @pearl marlin ❤️
It was that easy after all but I couldn’t think of it🥲
winter salmon
vapid oak
maybe try cubing both sides 🙂
pearl marlin
It was that easy after all but I couldn’t think of it🥲
Its okk , sometimes happens
dusty viper
Its okk , sometimes happens
Yea happens a lot these days idk what’s wrong
winter salmon
maybe try cubing both sides 🙂
8x^3 - 60x^2 + 150x - 125 = x
pearl marlin
What you want to find?
winter salmon
x
noble temple
,w solve 8x^3-60x^2+150x-125=x
vapid oak
That looks like a really hefty polynomial to factor. Maybe try substituting u=cbrtx ?
ocean sealBOT
winter salmon
That looks like a really hefty polynomial to factor. Maybe try substituting u=cb...
whats u=cbrtx
noble temple
There is no way you find that by hand
vapid oak
so basically instead of writing the cube root of x, say that instead the cube root of x is some other pronumeral u. Therefore the new equation would be 2u^3+5=u
i think that becomes a lot easier to solve
vapid oak
so basically instead of writing the cube root of x, say that instead the cube ro...
sorry -5**
alpine sable
,w solve 2x - 5 = cube root (x)
ocean sealBOT
alpine sable
Good
winter salmon
pearl marlin
,w 8x^3-60x^2+149x-125=0
ocean sealBOT
winter salmon
could you solve it graphically
vapid oak
solving it graphically would be so much better
pearl marlin
could you solve it graphically
Draw in desmos
quartz beacon
Guys is there a way to find out sin and cosine of an angle just by myself, without checking any table?
quartz beacon
For example, i need to find out cosine of 60° but i want to do that without checking any table
How is that possible?
shell heron
For example, i need to find out cosine of 60° but i want to do that without chec...
UNIT CIRCLE
caps
quartz beacon
Yes
keen jasper
learn how to calculate trig functions using unit circle
noble temple
60 is ez but 59.9 not so ez
quartz beacon
alpine sable
It's 1/2 ig
quartz beacon
Look
winter salmon
Draw in desmos
desmos graphing calc?
pearl marlin
desmos graphing calc?
Yes
vapid oak
A really good way to learn trig functions if you can't remember the unit circle is to draw out the triangle it belongs to, and to just remember the qudrant rules like cos(x)=cos(-x)
alpine sable
Or just remember the sine
alpine sable
And cosine is similar to it
quartz beacon
I wanted to find it out by myself, without remembering anything
But how do i do that
alpine sable
Can be found by a triangle or something
quartz beacon
Like here?
pearl marlin
its juts a straught line
Check where it cut on xaxis
alpine sable
How do you solve 2x - 5 = cube root x
I got no clue
Cubing both sides doesn't help
Sadly
quartz beacon
draw out the triangle 🙂
OHHHH
vapid oak
thats the line x=3.2398 something
winter salmon
Can you see where it cut x axis ( no even on zooming)
i cant
quartz beacon
alpine sable
Doesn't help
winter salmon
damn
humble ocean
Which one?
elfin snow
hint: 2sinxcosx
crude hazel
I did inverse sin and got 2x = pi/6
crude hazel
how do I find the other solution
crude hazel
so 0 <= 2x <= pi/6 means x can only be in quadrant 1
gray isle
what does that restriction tell you about 2x?
crude hazel
0 <= 2x <= pi / 3?
crude hazel
0 <= 2x <= pi? Am I supossed to multiply the interval by 2?
gray isle
yes, multiplying through gets you
0 <= 2x <= pi
now find all solutions to
sin(2x) = 0.5
for 2x
where 0 <=2x<=pi
crude hazel
ok I think im starting to better understand
elfin snow
you can let t=2x to help you
crude hazel
so 2x = pi/6 is one solution and the other solution is on quadrant 2 right?
crude hazel
you can let t=2x to help you
ok yes ill try that
gray isle
the other solution for 2x will be in Q2 yes
crude hazel
so t1 = pi/6 and t2 = pi - pi/6 = 5pi/6
and then I would divide t by 2 for x
right?
gray isle
yeh
crude hazel
ok thank you, the substition makes it easier to understand
winter salmon
anybody have any idea of how to solve this graphically
gray isle
graph the left side,
graph the right side
identify where they intersect
gaunt magnet
State the solution to f(x) > g(x) if f(x) is graphed in green and g(x) is graphed in black. Vertical asymptotes are in orange.
i got (-1, -(1/3) and (3,1)
am i correct
winter salmon
graph the left side,
graph the right side
identify where they intersect
they intersect in a very intersting point i can't really define where
gray isle
wdym you can't define where?
winter salmon
ill just make a approximation
gray isle
the image pretty much literally shows you
and seeing as some rounding may be involved, -0.333... is probably rounded from -1/3
shell widget
other question XD
winter salmon
i put it into a calculator to make sure i did it right and they intersect at like x=3.23985238 something like that
gray isle
this is what happens when people spam 0
gray isle
yeh, you'll have an approximation
worthy copper
The monthly salary of a person is Rs. 15000 . The central angle of the sector representing his expenses on food and house rent on a pie chart is 60 degrees. The amount he spends on food and house rent is
Rs. 5000
Rs. 2500
Rs. 6000
Rs. 9000
tall wing
The monthly salary of a person is Rs. 15000 . The central angle of the sector re...
Don't multipost.
read #❓how-to-get-help
sly mantle
ah you got em first
alpine sable
someone help me on question ii. idk how they got to the highlighted answer
sage jacinth
they just solved for l by subtracting 2w on both sides then dividing by 2
gray isle
their answer is fine
alpine sable
wait what
gray isle
which step are you confused about exaclty?
alpine sable
the whole question
sage jacinth
wait what
they multiplied top and bottom by 5 if you are confused about the second to last step
gray isle
the handwriting might be a bit poor, but its all there
did you understand the start?
P = 2l + 2w?
alpine sable
yep perimeter equals that ye
gray isle
where did you stop understanding
gray isle
the end goal is to isolate the l
alpine sable
yes
gray isle
to achieve that they started by subtracting 2w from both sides of the equation
and then they divided both sides of the equation by 2
(this was combined into a single step)
alpine sable
how do u get that equation in the first place
gray isle
which equation?
alpine sable
P = 2l + 2w is where they started then they substituted
sage jacinth
p=4.8
alpine sable
gray isle
you said you understood the substitution
alpine sable
how do u go from left to right
gray isle
to achieve that they started by subtracting 2w from both sides of the equation
and then they divided both sides of the equation by 2
(this was combined into a single step)
starting from
4.8 = 2l + 2w,
what do you have if you subtract 2w from both sides?
alpine sable
4.8-2w=2l?
gray isle
the decimal point may be a bit unclear but its sorta there
alpine sable
ok so then after i get l = 4.8-2w/2
alpine sable
oh yep yeah ok then where do i go from there
primal ether
or just divide each part of the fraction by 2
alpine sable
ahh ok so 4.8/2 - 2w/2
gray isle
2w/2 simplifies to w
and they expressed 4.8/2 as a simplified fraction of two integers
alpine sable
what do u mean by that
gray isle
note that in their end result they had 12/5 instead of 4.8/2
woven mirage
what does the top 2 mean when it says like 52
the 2 little above
i new to matamatics
alpine sable
squared
woven mirage
no im round im fat
gray isle
first the multiplied the numerator and denominator by 5 to get a fraction of two integers
alpine sable
ugh i got a test in 3 hours its 6am i havent slept
gray isle
and then they divided the numerator and denominator by 2 to simplify ti
ocean sealBOT
(バカ) baka
gray isle
you didn't necessarily need to convert it to a fraction like they did
woven mirage
i not so good in english
gray isle
you could just do 4.8/2 = 2.4
woven mirage
i not understand
gray isle
and that's enough for what the question is asking for
alpine sable
ahh ok that makes sense now thank u
i got one more short question doe
howd they get that
how do they go from 3.8/4 to 19/20
alpine sable
wait why they multiplying everything by 5
sage jacinth
guys i made test and question was 2+90(1+1) and i did 94
90(1+1)=90(2)=180
woven mirage
i not get it
gray isle
they wanted to leave their value in a fraction
they also wanted to simplify the fraction
that would mean expressing it as a fraction of two integers
sage jacinth
90(1+1) = 90 x (1+1) = 90 x 2
woven mirage
but 1+1 is at end
alpine sable
so in the actual test should i do that
gray isle
depends on what the question wants
you didn't necessarily need to convert it to a fraction like they did
you could just do 4.8/2 = 2.4
and that's enough for what the question is asking for
alpine sable
hmm ok so rn i could just do 3.8/4?
woven mirage
i have gooder idea for me i gonna dropout
gray isle
if you're gonna use a fraction, at least try and simplify
sage jacinth
bye
gray isle
otherwise if there's an exact decimal form, give that instead
blazing quarry
alpine sable
ok makes sense
then the bottom says calculate the length
and they used the fraction - w
nvm i got it
thank u for ur help guys
wish me luck for test lol
which formula would i use to find x
fresh night
It's 180-((90-30)+37)
glass lichen
which formula would i use to find x
angle sum of triangles...
glass lichen
It's 180-((90-30)+37)
dont just give answers.
fresh night
Oh sorry, but how we are meant to make formula if there's no letters?
glass lichen
Oh sorry, but how we are meant to make formula if there's no letters?
define them yourself.
dawn galleon
visual imp
In every terrestrial meridian the passage of the Sun occurs at noon, an hour later it will pass through another meridian located 15 ° west of the first and successively until midnight, reaching the antemeridian until returning to the initial point 24 hours later, which is known as time zone; What is the equivalence in radians of those corresponding to each time zone? 15 ° corresponding to each time zone?
visual imp
In every terrestrial meridian the passage of the Sun occurs at noon, an hour lat...
Hello, can someone help me with that?
visual imp
Thanks
alpine sable
help please
elfin snow
perpendicular means opposite reciprocal
so flip the fraction of the slope and apply a negative
pearl marlin
help please
Condition: two lines with slope m1 and m2 are perpendicular if m1*m2=-1
shell heron
Condition: two lines with slope m1 and m2 are perpendicular if m1*m2=-1
does that always work?
pearl marlin
Untill your lines are not parallel to axis
shell heron
oh okay
alpine sable
Condition: two lines with slope m1 and m2 are perpendicular if m1*m2=-1
would it be the last or second awnser
shell heron
would it be the last or second awnser
figure it out urself, he/she cant just give u the answer???
lol
elfin snow
this channel is occupied @fathom cosmos
pulsar loom
can anyone explain what randomization actually is
pine cipher
sturdy glen
can anyone please help me understand how the general solution was found?
i don't see how they got to that from the REF
placid zinc
From the equations:
2x1 - 1x2 + 6x3 = 0
s = x2
t = x3
Give me solutions for x1,x2,x3 in terms of s,t
Or, realize that you can, from the ref, write:
x1 = x2(1/2) + x3(-3)
x2 = x2
x3 = x3
alpine sable
Hey everyone. I dont get why is "- √y" and not "√y". Can anyone help me?
I know its because of the x ∈ [ - ∞, 3], but I still dont know
ionic jewel
x^2 = y implies x = plus or minus sqrt (y), and in this case they picked the minus branch because it's the one in the domain, like you pointed out
whole charm
correct, g inverse could have been 3+root(x) as well, but since the domain has been mentioned, we'll take 3-root(x) only
also note that if an inverse has to exist, the function has to be one-one and onto, so both branches would never be taken together
branches referring to the portion before x=3 and after x=3
ionic jewel
is one-one another way to write one to one?
whole charm
yep
ionic jewel
👍
ionic jewel
yes
whole charm
take the image of the graph about the x axis
so it will kinda look like an inverted V with its apex at x=2
alpine sable
also note that if an inverse has to exist, the function has to be one-one and on...
Sorry, I dont get what " the function has to be one-one and onto" means... english is not my first language.
ionic jewel
those are both math terms not English (not with that meaning at least)
whole charm
Sorry, I dont get what " the function has to be one-one and onto" means... engli...
one to one mapping means that a single output value can't have 2 distinct input values
onto means that all values within the co-domain must be mapped to at least 1 value in the domain
meaning if range and co-domain are the same
halcyon geode
those are both math terms not English (not with that meaning at least)
They're still in English, is not like in Spanish we say "la función es onto" or in French they say "la fonction est one to one" xD
alpine sable
Ahhh ok, so, if the domain was all the real numbers, which of the values (- and +) would I choose?
whole charm
Ahhh ok, so, if the domain was all the real numbers, which of the values (- and ...
what (- or +) are you referring to?
ionic jewel
I mean that's true, but my general point was 99.9% of English speakers wouldn't have known what it meant anyways
now I'm kinda curious how you say those in french, is it a literal translation?
blazing rose
is the range -inf to +inf
alpine sable
what (- or +) are you referring to?
"- √y" and "√y". I would pick both.
blazing rose
is this the graph of ln(x+2) ?
no, g(x) = log2 (x+2)
whole charm
no, g(x) = log2 (x+2)
yes, the range is -inf to +inf
whole charm
welcome
halcyon geode
I mean that's true, but my general point was 99.9% of English speakers wouldn't ...
They use the more formal "surjective, injective" or they would say "une fonction est injective / est une injection"
whole charm
"- √y" and "√y". I would pick both.
(-) cuz thats what falls withing the domain
alpine sable
They use the more formal "surjective, injective" or they would say "une fonction...
Yes! I am portuguese and whose are the formal terms.
whole charm
did you get it @alpine sable ?
halcyon geode
Same in in Spanish :p
alpine sable
(-) cuz thats what falls withing the domain
If the domain was all the real numbers, it would be (-) then? Sorry, I am still confused, is that something specific about the inverse?
why couldnt I pick the (+) one?
whole charm
well, the domain for g(x)=(x-3)^2 is all the real numbers. If you take its inverse, you can only consider the portion to the left of x=3 or the right of x=3 at a time..why so? as values of g(x) repeat after x=3 (it's a many to one function). So in accordance with the given domain, you'll consider the branch before x=3 for its inverse
Remember that the inverse function can only map to 1 number
there's nothing as a one to many function
alpine sable
Ahhhh makes sense! Thank youuu!
viscid cove
how does it split into three fractions?
i dont understand how the fraction with x+3 came about
blazing rose
bruh wtf
blazing rose
bro
viscid cove
weirdo
blazing rose
spaz stop
viscid cove
this guy
velvet pelican
also test in questions-2
viscid cove
report that fool
velvet pelican
and some scammer guy deleted in questions-4
viscid cove
channel in use my guy
blazing rose
o my bad
solar cradle
Look up partial fraction decomposition
whole charm
Yep, it's standard theory of hiw to decompose such fractions
Write it as A/(x-2) + B/(x-3) + C/(x-3)², and then compare it to find the scalars A,B and C
So here A=4, B=-3 and C=-9
viscid cove
why is it not split as only A/(x+2)+ C/(x+3)²
whole charm
I'm saying that if you ignore the (x-3) term during decomposition, you'll not be able to equate
whole charm
So you need (x-2), (x-3) and (x-3)²
viscid cove
the number of factors in denominator determines the number of segments?
whole charm
the number of factors in denominator determines the number of segments?
I didn't get that
whole charm
why is it not split as only A/(x+2)+ C/(x+3)²
I just meant that you wouldn't be able to do it without the (x-3) term
Try doing without it, you'll not be able to equate
viscid cove
you mean x+3 right?
whole charm
Yep, so sorry, i didn't catch that +
viscid cove
gotcha, thanks
whole charm
No problem :)
solar cradle
y = f(x), so the values of f are the y values
keen saddle
A number divided by the infinity is exactly 0?
glass lichen
A number divided by the infinity is exactly 0?
no
cause you cant divide by infinity
ocean sealBOT
Mosh
keen saddle
I'll give you a weird example, we got infinite possible heights for a person, whats the change of the the person be exactly 1,80cm tall?
Like 1,80000000000...
keen saddle
Exactly 0?
glass lichen
if you have a continuous sample of data, you cant know the probability of a single data value
/ prob of said data value
solar cradle
That's a common misconception, but think about a dart board, the probability that the dart hits any point particular point is 0 but it is certainly possible
glass lichen
If we want to be formal about it, we're talking about probability density functions, which is a function on an interval and 0 else (skipping details)
When we find the probability we find the area on that sub interval, with an integral of the function
If we want one specific value, then the interval would just be [a,a] if the value we want is a
but integrating from a to a always gives 0
$\int_a^a p(x)\dd{x}=0$
ocean sealBOT
Mosh
keen saddle
I'll check the videos and more content about it because it is hella complex, but turning a long story short, even with infinite possible heights, can a person be exactly 1,80cm tall?
viscid cove
does anyone have any resource for trig integrals?
like
i scoured youtube but i only find those in product form
viscid cove
thanks
viscid cove
Omg this integral look so difficult
glass lichen
yes
alpine sable
$x\to \infty, \frac{1}{x}\to 0$
ocean sealBOT
Stockie
alpine sable
$x\to \infty, \frac{1}{x}\to 0$
ocean sealBOT
Stockie
ionic jewel
yep
flint ice
Hey, I need advices for finding the 4 intersection points of the lemniscate with the circle. I've graphed my problem here:
glass lichen
hey i have a question
thanks for announcing your presence and saying you have a question ina question help channel.
viscid cove
lol owned
lime dome
ok sorry where do i ask this question
glass lichen
ok sorry where do i ask this question
not in a math help server...
lime dome
but this sticker is from this server
glass lichen
Ok so ask in chill or something
undone lantern
Hi
flint ice
Hey, I need advices for finding the 4 intersection points of the lemniscate with...
If your question has not been answered for a minimum of 15 minutes, you may use the <@&286206848099549185> tag once
sleek mist
what are the steps to find x if I have the determinant? I multiplied 5 by 3 ,subtracted that from 35 and divided that answer by 4 and got 5. but the answer is -5
solar cradle
First expand the determinant, that is 5(3) - 4x = 35. Then solve for x, you did everything correct except you may have had the formula for the determinant wrong
Just be sure to write it down and be organized and you'll be get it
sleek mist
ok cool ty that makes sense.
ionic jewel
i got y= -0.04(x+4)(x+2)(x-1)^2
looks right
gaunt magnet
looks right
ok what about this
vapid oak
try using the factor theorem to your advantage here 🙂
ionic jewel
yeah there you go perfect
the fact it has that ugly remainder means its not a factor
you also could have plugged in -7 to the function and checked if you got 0
might have been easier
gaunt magnet
you also could have plugged in -7 to the function and checked if you got 0
do i need to do polynomial long division?
vapid oak
i dont think you need to do long division
the factor theorem states that the remainder of P(x) when divided by (x-a) is equal to P(a)
ionic jewel
it works but you didnt need to do it
gaunt magnet
i dont think you need to do long division
ok do i need to solve it or does the question ask if x+7 is not a factor of
vapid oak
its just asking for you to show that the remainder when the polynomial is divided by x+7 is non-zero
notice that the remainder of the polynomial when you divide by (x+7) is equal to P(-7) by the factor theorem
gaunt magnet
notice that the remainder of the polynomial when you divide by (x+7) is equal to...
ye
gaunt magnet
notice that the remainder of the polynomial when you divide by (x+7) is equal to...
but what i did is still right cause i did polynomial long divsion and got
which proves
it
vapid oak
well yes but I think that just subsituting in x=-7 is a bit easier than performing long division. good job tho
gaunt magnet
ty
glass lichen
yeah... just showing x+7 fails factor theorem would've sufficed
gaunt magnet
8
glass lichen
yes
glass lichen
a) "express answer to nearest month"
low void
How do I do "The sum of x and 3x - 2" Is algebraic expressions
glass lichen
yes.
gaunt magnet
and b good too
glass lichen
yes.
also this isnt a "is this right" server cause any calculator can check for you
gaunt magnet
also this isnt a "is this right" server cause any calculator can check for you
you can be my calculator
till then
gaunt magnet
b^x = 1/(b^x)
1/(b^x) = N/M
b^x = M/N
Take log both sides
xlog b = log M - log N
Am i right
vague coral
its correct
solar cradle
You're close, it would be -xlogb = logM - log N
vague coral
^
solar cradle
npnp
ocean sealBOT
Usman
solar cradle
Looks good
gaunt magnet
thanks
wicked plover
hello