Hello
x + y = 54
xy = 36
Inverse x + Inverse y = ?
#help-26
alpine carbon
topaz sinewBOT
Hello
x + y = 54
xy = 36
Inverse x + Inverse y = ?
restive inlet
by inverse x + inverse y do you mean:
$$\frac 1x + \frac1y$$
thorny flameBOT
ℝamonov
alpine carbon
Yes
restive inlet
hint: how would you simplify
$$\frac 12 + \frac13$$
thorny flameBOT
ℝamonov
alpine carbon
2/6
alpine carbon
7/6
restive inlet
5/6 is correct, and supposing you applied the correct steps to get that
apply pretty much the exact same methodology to your question
i.e. first combine 1/x + 1/y into a single fraction
alpine carbon
x + y / xy
thorny flameBOT
ℝamonov
alpine carbon
x + y / xy
It's the answer but how?
thorny flameBOT
ℝamonov
alpine carbon
Oh I got it
alpine carbon
a ^2 + b^2 + c^2 +3 = 2(a+b+c)
c = ?
topaz sinewBOT
a ^2 + b^2 + c^2 +3 = 2(a+b+c)
c = ?
restive inlet
what have you tried
alpine carbon
It has to do with algebraic union I guess
restive inlet
algebraic union?
alpine carbon
algebraic identity
restive inlet
hint: 3 = 1 + 1 + 1
alpine carbon
I have no idea
restive inlet
$$(p-1)^2 = p^2 - 2p + 1$$
thorny flameBOT
ℝamonov
alpine carbon
Ok then?
restive inlet
consider the type of number you get when you square a real number
neon iron
restive inlet
and assuming a,b,c are real, consider the only possible way of getting 0 when adding the stuff on the left
neon iron
Uhh…
alpine carbon
and assuming a,b,c are real, consider the only possible way of getting 0 when ad...
So c = 1 ?
restive inlet
yes
topaz lynx
topaz sinewBOT
topaz lynx
var(x) = e(x^2) - (e(x))^2
= (5.2736) - (2.0316)^2
sqrt(var(x)) = s.d
= 1.07
it should be 1.08 :/
how am i supposed to get this exact answer
sweet shard
= (5.2736) - (2.0316)^2
don't round here
sweet shard
show your work?
topaz lynx
lemme type it all out 1 minute
$\frac{1(22) + 4(31) + 9(27) + 16(7)}{95} - ( \frac{1(22) + 2(31) + 3(27) + 4(7)}{95})^{2}$
thorny flameBOT
The Torrent v2
topaz lynx
idk how to do bigger brackets but thats my working
sweet shard
**The Torrent v2**
this is right
topaz lynx
answer is wrong :/
sweet shard
idk how to do bigger brackets but thats my working
$\left ( \frac{1}{2} \right)$
thorny flameBOT
riemann
topaz lynx
if my working is right...... why is answer wrong :/
mark scheme cant be just wrong
because i also have a different mark scheme which my teacher made
which also says 1.0764
both cant be wrong by co-incidence
sweet shard
answer is wrong :/
try the sample standard deviation formula
https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/variance-standard-deviation-sample/a/population-and-sample-standard-deviation-review
sweet shard
yea the key hint is "survey" and not "population"
explanation for why $n-1$ instead of $n$
thorny flameBOT
riemann
topaz lynx
thanks for the help, ill check out that link to make sure i dont forget in the future lol 👍
.close
bright dagger
A rock is thrown downward at a speed of 20ft from the top edge of 500 ft. The height of the rock above the ground t seconds after the rock is thrown is: s(t)= 500-80t-16t^2
-how many seconds after the rock is thrown does it hit the ground?
-what is the sspeed of the rock when hits the ground?
topaz sinewBOT
A rock is thrown downward at a speed of 20ft from the top edge of 500 ft. The he...
viscid thistle
A rock is thrown downward at a speed of 20ft from the top edge of 500 ft. The he...
solve quadratic for s(t) = 0
for second one, differentiate s(t)
bright dagger
so is v(20) = -20-32t ?
viscid thistle
s’(k) where k is the time when it hits ground
v(20) = -80 - 32(20)
assuming it doesn’t reach terminal velocity
t= 20 is way too much
i don’t think 20 is right
viscid thistle
so is v(20) = -20-32t ?
v(t) = -80-32t
if that’s what you were tryna say
i hope all of that made sense
bright dagger
yes
bright dagger
but in this case v(t) is negative, should I leave it like that or have a positive v?
because is ft/sec
anyway tyvm
.close
topaz sinewBOT
topaz sinewBOT
Available help channel!
neon iron
hello
restive inlet
what have you tried?
neon iron
what have you tried?
for the first one:
x^2 = (3^2)^2
x^2 = 9^2
x^2 = 81
x = √81
x = 9
i really don't know if its correct
and for the second one:
3x (x+1) = x (4x-1)
3x+3 = 4x - 1
x = 4
restive inlet
the work is fine
neon iron
is all correct?
restive inlet
sort of skipped a step for the first one,
should explicitly state what allowed you to cancel x from both sides like that
but other than that its fine
neon iron
hm
topaz sinewBOT
Available help channel!
analog tusk
topaz sinewBOT
grim jacinth
thorn briar
karmic fox
Elp
karmic fox
idk how to do
deep swift
You need to stop reopening under a new channel
deep swift
Havent you posted this like 3 times already?
topaz sinewBOT
@karmic fox Has your question been resolved?
karmic fox
<@&286206848099549185>
pastel gate
topaz sinewBOT
pastel gate
find derivative?
solemn wigeon
pastel gate
i am not familiar
empty sail
How are you doing derivatives if you aren't familiar with the basic rules?
maiden wave
topaz sinewBOT
maiden wave
how can i convert this into a power series
i found the derivative of ln(5-x)
however when i try to find its convergence, for which value do i center it
keen venture
Know any related power series?
keen venture
however when i try to find its convergence, for which value do i center it
Any (where f is defined)
keen venture
Any (where f is defined)
Since f is defined at x = 0, you can construct a series around x = 0.
You should have a series in terms of ln given to you, though.
maiden wave
could you guide me through the whole problem i dont really undertsand very well
.close
neon iron
Hello, I'm working on an assignment for Business Management (BUS-130-60) and I've been struggling to understand the assignment as a whole. I don't think its asking me to convert ratios as it gives me a list of ratios that seem to have been automatically converted from the finances it has given me. The assignment focuses on Financial Analysis and converting ratios. For the first question, I just answered that all the ratios are correct. I'll be sending a GIF of the entire assignment, along with a large list of all the finances, ratios, and questions given:
https://gyazo.com/a95c1f899d6bed350de48a628a8bc0e0
Use the following worksheet to help Bella and Matias Morales calculate the following twelve financial ratios from their income statement and balance sheet.
Identify those ratios for High Country Tires that are significantly different from the industry median.
Calculate High Country Tires’ cash conversion cycle using the following formula: Average Inventory Turnover Ratio + Average Collection Period Ratio – Average Payable Period Ratio. Make the same calculation for the typical firm in the industry. Comment on your calculations.
The Moraleses took on additional debt to open their second location. Does it appear that High Country Tires is overloaded with debt?
What are the potential problems that exist in High Country Tires that might cause the differences you identified in question 2?
What specific steps do you recommend the Moraleses take to resolve the problems you identified in question 5 and improve their ratios next year?
topaz sinewBOT
Hello, I'm working on an assignment for Business Management (BUS-130-60) and I'v...
neon iron
High Country Tires Income Statement
Sales
Cash or Debit Card $1,912,504
Credit $762,327
Total Sales $2,674,831
Cost of Goods Sold
Beginning Inventory $136,321
Plus Purchases $1,961,070
Goods Available for Sale $2,097,391
Less Ending Inventory $356,875
Cost of Goods Sold $1,740,516
Gross Profit $934,315
Expenses
Mortgage $71,550
Wages, Salaries, and Benefits $494,565
Utilities $84,280
Advertising and Marketing $10,876
Vehicle Expense $49,532
Bank and Card Fees $2,400
Insurance $8,763
Maintenance and Repairs $8,943
Office Supplies $2,567
Internet and Telephone $1,200
Computer Equipment and Maintenance $7,489
Shipping and Postage $457
Depreciation $33,652
Accounting Services $4,800
Legal Fees $3,000
Business Licenses and Permits $2,000
Training and Education $2,575
Interest Expense $24,207
Miscellaneous Expenses $1,743
Total Expenses $814,599
Net Income (Before Taxes) $119,716
High Country Tires Balance Sheet
Assets
Current Assets
Cash
$138,232
Accounts Receivable $141,289
Less Allowance for Doubtful Accounts $5,000 $136,289
Inventory
$356,875
Prepaid Expenses and Other Current Assets
$50,245
Total Current Assets $681,641
Fixed Assets
Land
$155,750
Buildings $288,755
Less Accumulated Depreciation $145,250 $143,505
Furniture, Fixtures, and Equipment $189,670
Less Accumulated Depreciation $136,579 $53,091
Total Fixed Assets $352,346
Total Assets $1,033,987
Liabilities
Current Liabilities
Accounts Payable
$227,498
Bank Loan
$67,483
Notes Payable
$98,229
Accrued and Other Current Liabilities
$43,014
Total Current Liabilities $436,224
Long-Term Liabilities
Mortgage
$94,216
Note Payable
$42,485
Total Long-Term Liabilities $136,701
Total Liabilities $572,925
Owner's Equity
Net Worth $461,062
Total Liabilities and Owner's Equity $1,033,987
High Country Tires Ratios
Ratio This Year Last Year Industry Median
Current Ratio 1.56 1.42:1 1.4:1
Quick Ratio 0.74 0.68:1 0.7:1
Leverage
Debt 0.55 .58:1 0.725:1
Debt to Net Worth 1.24 1.31:1 1.73:1
Times Interest Earned 5.95 4.75:1 4.7:1
Operating
Average Inventory Turnover 7.06 times per year or 51.7 days 6.83 8.2 times per year
Average Collection Period 5.59 times per year or 65.3 days 5.12 8.0 times per year
Average Payable Period 8.62 times per year or 42.3 days 8.01 13.4 times per year
Net Sales to Total Assets 2.59 2.85 3.70:1
Profitability
Net Profit on Sales (Net Profit Margin) 4.5% 4.1% 4.8%
Net Profit to Assets (ROA) 11.6% 7.5% 11.4%
Net Profit to Equity (ROE) 26.0% 21.4% 23.8%
leaden tusk
im gonna be honest with you friend there is no way anyone is reading that
neon iron
lol
is there a person you think would?
I just went to the 'Business' version of this server and they tried, and they sent me here
and they said that the math people would understand this better
If you want I can send you the questions I was given, maybe they are easier then you think
nvm i already did that
leaden tusk
they sent you here cause they don't wanna read it
neon iron
are you familiar with what this is?
i went through all of it and i can promise you it isn't as terrifying as you think
ignore the large paragraphs at the beginning and just focus on the questions
topaz sinewBOT
@neon iron Has your question been resolved?
topaz sinewBOT
@neon iron Has your question been resolved?
neon iron
I did number 1 and 2
Can someone help me do
Calculate High Country Tires’ cash conversion cycle using the following formula: Average Inventory Turnover Ratio + Average Collection Period Ratio – Average Payable Period Ratio. Make the same calculation for the typical firm in the industry. Comment on your calculations.
-
The Ratios are all-calculated to their exact ratios as intended.
-
Ratios that are significantly different from industry median include; Debt, Debt to Net Worth, Times Interest Earned, Average Inventory Turnover, Average Collection Period, Average Payable Period, and Net Profit to Equity.
-
High County: 4.03 Median Industry: 2.8. High County is making twice as much as the average Industry.
-
Yes, most of the company's assets are being financed through debt as opposed to equity. Debt to Net Worth is also far above what it should be.
-
Many of the ratios are above average but could be better then the Industry Median when it comes to everything. Debt could be a little better, but still remains better then the average Industry.
-
I recommend that the Moraleses decrease their debt more and increase their profit from sales more.
Finished, if anyone wants to contribute more to this answer I'd appreciate it
sweet shard
At this point I suggest you hire a local tutor or tax accountant to do all that arithmetic for you
neon iron
.close
viscid summit
Hey
marsh mortar
do u just want the answer or help solving it
viscid summit
do u just want the answer or help solving it
I have the answer but I don’t know the steps
leaden tusk
what have you tried
.
viscid summit
Okay so I tried subbing in x
I got 0/0
But when I common factor iut a 2 on top
The limit is 2
leaden tusk
...
leaden tusk
mhm
leaden tusk
the denominator is the absolute value
viscid summit
Meaning there’s a hole
leaden tusk
no
leaden tusk
apply the definition of the absolute value
viscid summit
What even is absolute value
Isn’t it where if it’s a negative it turns to a positive
But it’s already positive
On the inside
toxic badger
$\lvert x \rvert = \left{
\begin{array}{ll}
-x & \quad x < 0 \
x & \quad x \geq 0
\end{array}
\right.$
viscid summit
So if it’s less than 0 it’s negative
Greater it’s positive
So to get the answe
So if |x+4| > 0. It’s just x+4
leaden tusk
that should just be a x < 0 not leq 
viscid summit
that should just be a x < 0 not leq <:flonshed:629835071465062410>
Why’s that
leaden tusk
cause if you have geq and leq you're giving it two definitions at one point
toxic badger
Right, mb
viscid summit
What’s geq and leq
leaden tusk
greater than or equal to / less than or equal to
viscid summit
Ohh
thorny flameBOT
[TEB] darthlothins
leaden tusk
viscid summit
So it’s basically repetitive
leaden tusk
So if |x+4| > 0. It’s just x+4
but yes, right concept here
vital relic
**[TEB] darthlothins**
this is a very interesting order (that I usually don't see)
leaden tusk
yeah i was gonna point that out too but same meaning lmao
if it works it works 
and i don't know how to do arrays on latex 
viscid summit
So if it’s positive that means I’m approaching the limit from the positive side
Which would give me 2
leaden tusk
yep
leaden tusk
right
viscid summit
Which would be negative 2
viscid summit
Does not exist
leaden tusk
correcto
toxic badger
this is a very interesting order (that I usually don't see)
I copy pasted the format from a site since I didn't know how to do piecewise in tex either 
viscid summit
It’s a piece wise function right
vital relic
$$\abs{x}:=\begin{cases}\phantom{-}x,\quad x\geq0\-x,\quad x<0\end{cases}$$
thorny flameBOT
Shuri2060
leaden tusk
the absolute value function, yeah
viscid summit
Yea
leaden tusk
|x| implies the piecewise definition seem above ^ though
neon iron
how to get the ability to post on the advanced mathematics channels? I am currently unable to
leaden tusk
this is someone's help channel
neon iron
What does that mean, Sorry, I am new to discord
viscid summit
**Shuri2060**
Also for this
leaden tusk
someone is asking for math help here
neon iron
Sorry
leaden tusk
neon iron
I did not know, please forgive me
leaden tusk
i'm pretty sure it can be the other way around, but it's the general consensus
viscid summit
Oh
viscid summit
The absolute value function
leaden tusk
you're not solving for any inequality
you're just applying the definition seen based on if x >= 0 or x < 0
viscid summit
Yea
Oh
Then when would I do that
When I want to determine the anvoslute value function?
leaden tusk
or you can say
$$\lim_{x\to -4^+}f(x)=2$$ and $$\lim_{x\to -4^-}f(x)=-2$$ therefore $\lim_{x \to -4}f(x)=$DNE
thorny flameBOT
a disappointing son
viscid summit
If I wanted to find the function and not the limit
I would do what I did above right
leaden tusk
i'm not sure what you mean by "find the function"
viscid summit
F(x) = the pic I sent
leaden tusk
like by breaking it into 2 parts?
cause you already did that when you evaluated the limit
viscid summit
Like graphing approach
leaden tusk
no
viscid summit
Same
leaden tusk
AH
i think
i think? i get what you're asking
so what you'd write as the function's graph
like in a graphing calculator or something
viscid summit
Uh
viscid summit
So what would the proper function look like
leaden tusk
same thing you have written but it would be x > -4 and x < -4
along with a y= in front
leaden tusk
naw cause your actual function is undefined at x=-4
leaden tusk
yeah
viscid summit
One at 2 and one at -2
leaden tusk
they don't touch x=-4 cause your function is undefined at x=-4
$\frac{2x+8}{\abs{x+4}}$
thorny flameBOT
a disappointing son
leaden tusk
yes
viscid summit
Oh also I think Ik what I meant when I did this
Like the value would always be a certain number when x is greater or less than 4
leaden tusk
yes, that's true
viscid summit
Yea it makes sense
Wait but why 4 tho
I get the saying but like why’s it only when it’s greater or less than 4
That that value exists
Is it because of the absolute value
leaden tusk
ah shoot that's supposed to be -4
i keep forgetting your limit is x approaching -4 and not +4 
topaz sinewBOT
@viscid summit Has your question been resolved?
topaz sinewBOT
topaz sinewBOT
Available help channel!
woeful ridge
Hello i was just wondering in the equation S=ut+1/2at^2 we times 2 not just to S but also to ut
mortal thunder
Hello i was just wondering in the equation S=ut+1/2at^2 we times...
nope
$S = ut + \frac{1}{2} at^2$ is the equation
thorny flameBOT
mortal thunder
yeah you multiply with all
woeful ridge
ok but why do we multiply the, ut and not just the s cause arent we just multiplying to the other side to get rid of the 1/2
mortal thunder
ok but why do we multiply the, ut and not just the s cause arent we just multipl...
not really
$S - ut = \frac{1}{2}at^2$
thorny flameBOT
woeful ridge
so then if i wanted to figure out what A was equal to it would look like A = S - UT x 2 / t^2
topaz sinewBOT
Available help channel!
bronze cipher
hey as you know , this is a product law of logarithms , and what if the log is negative
how do i use the law then?
im sorry if my doubt is silly im just a 14 year old
topaz sinewBOT
hey as you know , this is a product law of logarithms , and what if the log is n...
leaden tusk
if which log is negative
leaden tusk
same concept
leaden tusk
what do you think it will be?
bronze cipher
what do you think it will be?
i think the second log will be negative
leaden tusk
you are correct
azure socket
can anyone help me please
topaz sinewBOT
can anyone help me please
topaz sinewBOT
@azure socket Has your question been resolved?
azure socket
.close
steep tiger
what's this method called?
topaz sinewBOT
what's this method called?
steep tiger
the one where I subtract 10p=6,6666... with p=0,6666...
lyric gale
what's this method called?
i dont think it has a name
steep tiger
hmmm
neon iron
can you elaborate ?
steep tiger
so it's basically to find the fraction form of 0,6666... right?
steep tiger
Are you doing geometric series ?
no
neon iron
infact you can do it to all repeating numbers
neon iron
isn't that 0 tho ?
steep tiger
yes
neon iron
you can use logarithms next time
steep tiger
not sure it'd be easier
neon iron
remember log(a^b)=b*log(a) in this case you can take the log of both sides and it will be a product of two numbers
as in x*log(0.66666)=log(0.999999)
steep tiger
found the answer this way
neon iron
how did 9/9 become (2/3)^2?
steep tiger
that's 4/9
topaz sinewBOT
@steep tiger Has your question been resolved?
topaz sinewBOT
topaz sinewBOT
Available help channel!
wanton furnace
Express -125/216 in power notation
topaz sinewBOT
Express -125/216 in power notation
neon iron
(5/6)^3
wooden matrix
could u pls give the explanation as well
write 216 as a power, and write -125 as a power
chrome glen
(Epicly)
wanton furnace
can someone pls help?
topaz sinewBOT
can someone pls help?
empty sail
Exponent properties
neon iron
you have to sort of "distribute" the exponent over the numerator and the denominator
i.e. cube both negative 2 and 7
wanton furnace
like, -2/7^3 ?
empty sail
Not exactly
neon iron
no, do it to both the numerator and the denominator
empty sail
It gets distributed to both the numerator and denominator
wanton furnace
-(2/7)^3 ?
neon iron
that's the question
empty sail
that's the question
Technically not exactly
wanton furnace
no the question is, (-2/7)^3
empty sail
Because luckily it's to an odd power
If it was to an even, different problem
$$\left(\frac{a}{b}\right)^x = \frac{a^x}{b^x} $$
thorny flameBOT
dldh06
empty sail
That's the property you're applying
wanton furnace
That's the property you're applying
so the answer is, -(2^3/7^3) ?
neon iron
yes correct but you have to be careful
because that would be wrong if it was an even power
empty sail
You keep signs with the numbers
neon iron
to be exact, the answer is
(-2^3)/(7^3)
empty sail
Don't separate the sign
wanton furnace
umm so, (-2^3)/(7^3) & -(2^3/7^3) both r correct?
empty sail
umm so, (-2^3)/(7^3) & -(2^3/7^3) both r correct?
Technically to the odd power yes, but even power, no
wanton furnace
oh okay! Thnks! U guys helped a lot!
empty sail
Example (-2)^3 = -8 but doing -(2^3), you do the inside first so -(8) so odd powers, just a coincidence
(-2)^2 = (-2) * (-2) = 4
But -(2^2) = -(2 * 2) = -(4) = -4
empty sail
oh okay! Thnks! U guys helped a lot!
Notice the difference with parentheses?
neon iron
topaz sinewBOT
neon iron
help pleasee
neon iron
Can you factor?
0= x(2x+13)-4(2x+13)/x-4
thorny flameBOT
sills
topaz sinewBOT
@neon iron Has your question been resolved?
golden moon
so we do 2x+13 times x-4/x-4
which means you can cancel out, and then you can have a f(a) value
topaz sinewBOT
topaz sinewBOT
Available help channel!
neon iron
I have a question about Euclidian's algorithm. If we have integers a and b where b > a > 0, the HCF of a and b being x, we can let k = b - a, then x (the HCF) is still a factor of this new number k (b = ex, a = gx => k = b - a = ex - gx = x(e-g)). But I don't know how to explain why the HCF doesn't change (e.g increases) from the first pair a, b to the new pair a, k... maybe this is obvious but idk?
topaz sinewBOT
I have a question about Euclidian's algorithm. If we have integers a and b where...
@neon iron Has your question been resolved?
neon iron
<@456226577798135808> Has your question been resolved?
No
wary oak
well the hcf of a is still x, so it cant be bigger than that for the pair (a, k)
topaz sinewBOT
@neon iron Has your question been resolved?
random bloom
Hi, I'm developing a game and I've got a problem. I got 2 objects, 1 and 2. I want to calculate the rotation of object 1 needed to exactly look at object 2. I've got the lengths A and B.
topaz sinewBOT
Hi, I'm developing a game and I've got a problem. I got 2 objects, 1 and 2. I wa...
random bloom
How can I calculate this?
wait
i already know it lol
this is like literally just tan
ok im dumb this is like 9. grade stuff lmao
.close
serene hound
The M and N sets are such that M U E = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9), M - N = {0, 1, 2} and N- M = {7, 8, 9). Determine the M and N sets
topaz sinewBOT
The M and N sets are such that M U E = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9), M - N = {...
serene hound
I need help
vital relic
could consider drawing a venn?
small halo
Can I get help on these word problems?
topaz sinewBOT
Can I get help on these word problems?
oblique crag
At day 0 the watch is 1 second behind.
Your first point for your function should therefore be P(0|1)
His watch falls behind 2 seconds every day so by day one his watch will be 3 seconds behind
Your second Point therefore is P(1|3)
4)
The same as described in number 3 applies here
She has 75 photos already on her phone
P(0|75)
Each day she wants to take another 25.
P(1|100)
small halo
3)
At day 0 the watch is 1 second behind.
Your first point for your function sho...
So whats my equation for part a?
oblique crag
Do you know how to get a function with 2 points ?
small halo
Is P(0|1) P 0/1? Or am I misinterpreting?
oblique crag
P is point
small halo
Do you know how to get a function with 2 points ?
I think.
oblique crag
Ok so lets break this down what is always at x =0?
small halo
Ok so lets break this down what is always at x =0?
Ok.
oblique crag
?
small halo
Oh a question. 🤣 🤦
small halo
Ok so lets break this down what is always at x =0?
1?
oblique crag
At x = 0 you will always find the y-axis intersection
In your general linear function where is the y-Intersection located ?
As a reminder (General Equation of a linear function):
f(x) = a*x+b
yes exactly so You know that the function you are trying to model will intersect the y-Axis at y = 1
F(x) = a*x +1
oblique crag
when you set in the first point yes
but you still need a
the slope of the function
oblique crag
Yes so your complete function would be
f(x) = 2x+1
Alright so part a is done.
oblique crag
Yes now on to part b. In part b you are asked to find x. so you insert all the information given in the task
small halo
Yes now on to part b. In part b you are asked to find x. so you insert all the i...
So would I do f(x) = 2x+1 but I insert 17 into x? 🤔
oblique crag
Not into x. X is the variable you are trying to calculate. Think about it. the function we modelled above will give us the seconds the watch is behind when we insert the number of days in x
small halo
Not into x. X is the variable you are trying to calculate. Think about it. the f...
So how do we find the number of days? By calculating it sure but there is something extra to do right?
oblique crag
Yes you were right on track you need to insert the 17 for y because why gives you the number of seconds the watch is behind.
In our case:
f(x) = 2*x+1
Now we insert y:
17 = 2*x+1
Then we solve for x.
Ah.
Now I see.
Let me solve that real quick.
8?
oblique crag
Yes it's correct
small halo
Alright.
oblique crag
Need help with number 4 ?
small halo
For the second one I already got part a done: f(x) = 20x + 75 but I need help with part b.
oblique crag
We can just insert the number of days she plans to stay at the excavation site into x. Then we need to subtract the result with the maximum number of photos the result is the number of photos she needs to delete
small halo
So: 7 = 20x + 75? Or f(x) 20*7 + 75? 🤣
oblique crag
second one we insert for x
small halo
Ok.
And then subtract the result by 200. Let me do that real quick.
So the answer is 215.
So she would need to delete 15 photos?
oblique crag
yes that'is correct
valid jungle
Can someone tell me why this is wrong?
topaz sinewBOT
Can someone tell me why this is wrong?
oblique crag
,rotate
thorny flameBOT
sweet shard
share your work
valid jungle
I tried this first and it didn’t work
sweet shard
oh you just need parentheses
valid jungle
Where
sweet shard
$a + b / c + d \neq (a+b) / (c+d)$
thorny flameBOT
riemann
valid jungle
why
sweet shard
I tried this first and it didn’t work
this looks right to me
sweet shard
but that's not equal to what's entered in the box
sweet shard
**riemann**
because pemdas
valid jungle
So what you reckon I should do
sweet shard
i reckon you should learn PEMDAS
sweet shard
**riemann**
and understand this
sweet shard
and apply it here
valid jungle
and apply it here
Can you at least tell me which line im wrong?
sweet shard
I tried this first and it didn’t work
there's nothing wrong with your work here
valid jungle
It gave me a wrong answer tho
sweet shard
**riemann**
read this and understand how it applies to how you entered it in the website
sweet shard
It gave me a wrong answer tho
you didn't enter your answer correctly
sweet shard
**riemann**
because you made this mistake
sweet shard
**riemann**
do you understand why this isn't true?
valid jungle
Yeah cause parentheses come first?
sweet shard
Yeah cause parentheses come first?
are you asking cuz you still don't understand?
sweet shard
also
https://www.cuemath.com/numbers/pemdas/
read this if you still aren't sure
valid jungle
Already did
sweet shard
use parentheses and try entering your answer again
valid jungle
I tried this first and it didn’t work
I still cant see where im wrong tho i did try to enter my answer just like this earlier and it also said wrong
vital relic
The Answer Preview literally tells you what it interprets it as
sweet shard
because $( a + b ) / ( c + d) = \frac{a+b}{c+d} \neq a + b / c + d$
thorny flameBOT
riemann
sweet shard
you didn't enter this
or at least you didn't show us
type out your answer here before you enter it
valid jungle
So like thiss?
viscid thistle
^^
valid jungle
sweet shard
sign error my friend
all this work because of user error 😭
viscid thistle
gotta love that ey
sweet shard
did you come up with this?
viscid thistle
multiply the denominator on both sides, expand and implicit differentiation
viscid thistle
I tried this first and it didn’t work
most of the working
sweet shard
I tried this first and it didn’t work
this is the answer. just enter it correctly.
viscid thistle
multiply the denominator on both sides, expand and implicit differentiation
that’s what you get if you do this
valid jungle
so is it a minus or plus 🧔♂️
viscid thistle
plus
viscid thistle
this is the answer. just enter it correctly.
self contradiction, you said the same answer as wrong and right
thorny flameBOT
riemann
viscid thistle
**riemann**
yeah, that’s the right answer, right ?
sweet shard
yup
viscid thistle
multiply the denominator on both sides, expand and implicit differentiation
that’s what you do for that
viscid thistle
if it says it’s incorrect, please email your professor
topaz sinewBOT
sweet shard
but it was correct so did you lose points?
topaz sinewBOT
Available help channel!
valid jungle
no last one is correct
topaz sinewBOT
no last one is correct
topaz sinewBOT
topaz sinewBOT
✅
valid jungle
.close
topaz sinewBOT
topaz sinewBOT
Available help channel!
late pebble
hey um im reviewing for an exam and im having some trouble with the questions since these were from the start of the lesson a few weeks ag and it blanked out of my head it solving trig eqatons
topaz sinewBOT
hey um im reviewing for an exam and im having some trouble with the questions si...
late pebble
im on pc so i cant realy take a picture but the question asks cos x=3 cos x-2
<@&286206848099549185>
lean yacht
Sounds like you may have trouble reading directions since pinging helper is 15 min
lean yacht
No worries, but it may be easier to snap a photo of the screen since "cos x = 3 cos x-2" doesn't sound like much of a question.
lean yacht
Thinking of the cosine graph, what sort of values are there?
late pebble
am i supposed to conbmine them somehow?
cosnie graph?
i dont think we used that in my class
lean yacht
Well you don't have to combine them, but it may be easier to visualize what cos(x) looks like
late pebble
ok ok
so when i have the wiggly line thing what do i do
you sure theres not an equivalent to this but on the unit circle?
lean yacht
that looks right. So what are some important values to note from there and how can they be relevant to cos x = 3 cos x-2
Think vertically
lean yacht
Good! Anyway to use either of those as a replacement for "cos x"? Since we know it will always be between -1,1
late pebble
can it be either
like the cos on this eqation could be either -1 or 1 and it wont matter?
lean yacht
Try substituting them into the original problem and see if both work out
lean yacht
not yet since that is what we are trying to solve for
lean yacht
Not exactly right. you replaced "cos"
lean yacht
that isn't a valid substitution
You are replacing a function with a variable when you do that
late pebble
so only the x?
lean yacht
If you replace x, then what are you solving for?
late pebble
but like ok
lean yacht
"cos x"
lean yacht
No. The cosine function goes from -1 to 1, which means that cos(x) is between -1 and 1. i.e. -1 <= cos x <= 1
replace the whole thing
late pebble
but what is going to hapen to the 3 & 2
lean yacht
They help you determine which value in the graph is relevant
late pebble
ok
so for now i replace the entire equation with -1<=cos x<=1?
but this doesnt look like what i was tauught are you sure you're solving for ALL values of x?
are we going to get an answer like idk pi/2-pi/4
lean yacht
yes
using the original equation, and knowing that cos x is between -1 and 1 (inclusive). Test the lower end by substituting "cos x" = "-1"
late pebble
do i put that in a graph?
lean yacht
using the original equation,
late pebble
so i substitule the 3 with -1?
lean yacht
substituting "cos x" = "-1"
late pebble
iim sorry if im annoying you i kinda dont understand you want me to like substitute cost x with -1?
that hurts my eyes tf tf
late pebble
no
lean yacht
Not annoying 🙂 I am just trying to get you to arrive at the answer
So, since we know that cos(x) = - 1 isn't going to work, maybe 0 would or maybe 1?
late pebble
cos x = 3 cos x-2
-1 = 3 * (-1) - 2
do i do this wih postive one or with zero then?
but like you cant subsitive the cos no>
?
lean yacht
You will have to do it with whichever balances the equation
lean yacht
you can't substitute the cosine function alone, but you can substitute values it produces
late pebble
let me try with the zero cus the 1 didnt show anything on the graph
lean yacht
"cos" is the function but "cos x" produces values ranging between -1,1 so we can substitute anything in that -1,1 range
You don't need a graph
at least not anymore
late pebble
i dont need a graph now that i know what cos shows ?
is it the same for ike sin or other fuctions too>
?
lean yacht
Usually, yes
lean yacht
cos x = 3 cos x-2
-1 = 3 * (-1) - 2
So we know that cos(x) does have 0 in the range so follow the same thing done here
If the equation still doesn't balance, try 1
late pebble
and what is it supposd to give me?
when i put it into the calculator it gves me a one
1=1
lean yacht
Good! So that means that when cos(x) = 1, the equation is balanced. Now we have to find out "for what values of x is the cosine function 1?"
late pebble
ok
lean yacht
You're in the home strech
lean yacht
You can..... but if you look at the original graph, where is the graph at 1?
lean yacht
0 is one of them, any more?
late pebble
no
lean yacht
No?! but it is an equal wave, so surely there is more than just one instance where the function reaches 1
lean yacht
Yea. So -2pi, 0, 2pi - likely 4pi, 6pi.... how would you write that as a single value?
lean yacht
are we going to get an answer like idk pi/2-pi/4
See here for hint
lean yacht
That hasn't stopped you yet
late pebble
is it going to be written similar
lean yacht
Just kidding, what are you thinking it would be?
late pebble
with a denominator
lean yacht
denominator = 1, in the answer
late pebble
do the 3 and the -2 come into play here
lean yacht
Not anymore, we used those to determine that only the values in which cos(x) = 1 are correct, all we need to do now is write out all the answers for x where cos(x) = 1, so far we have -2pi, 0, 2pi, 4pi, 6pi
lean yacht
Simplify the sequence "-2pi, 0, 2pi, 4pi, 6pi"
late pebble
the hint you gave me makes me believe it would be like -2pi/1- 2pi/1
late pebble
Simplify the sequence "-2pi, 0, 2pi, 4pi, 6pi"
howww???
lean yacht
That may have been a bad hint
Let's ignore the "-2pi" for a moment.... is there something easily noticeable that "2pi, 4pi, 6pi" have?
late pebble
sequence of 2?
lean yacht
Yes
late pebble
cos =-1 and 2pi n ?
lean yacht
But yes, x = 2 pi n for all n as an integer
late pebble
ok,
thank you ima go eat ill ask more questions later hopefully with another person cus i dont want to waste your time
thanks
lean yacht
Glad to help
topaz sinewBOT
Available help channel!
frail gyro
Hi i have a few questions
topaz sinewBOT
Hi i have a few questions
frail gyro
for a) 1 ft = 30.48cm so 5(30.48) + 11(2.54)
for b i think:
1yd = 3ft = 36in(2.54) = 91.44cm(8yd) = 731.52
2ft = 2(12) = 24in(2.54) = cm = 60.96
9in = 9(2.54cm) = 22.86
731.52 + 60.96 + 22.86 = 815cm
is that good?
c) 42yd 1ft 10in to m
im not sure exactly how to do c without the conversion rates
since im trying to do it without that because it may not be on the test on wednesday
chrome glen
Np
frail gyro
i got word problems too but ima first try them and then ask
chrome glen
Reasonable
frail gyro
Id just convert it all to inches or smthn
yeah that works great actually
since the conversion to inch is easy you just need to know how to convert that to yards
okok now i do more
ok so i believe a is 57.6m because 1 yd = 0.9m
and 64 x 0.9 is just off by 0.10 so 10% of 64 is 6.4 which means 64 - 6.4 = 57.6m
sorry i was talking about a)
chrome glen
I mean youd prob just want to use a more accurate conversion factor
frail gyro
ah
1yd = 0.9144m
my teacher lets it slide since we're not gonna have the exact conversion factor on the test
as long as i know 1yd = 9/10 its fine
but yea i will still remember these conversion factors
topaz sinewBOT
@frail gyro Has your question been resolved?
frail gyro
I mean youd prob just want to use a more accurate conversion factor
how would i do f)
chrome glen
Thinking about the units
You have 0.52 dollars per km and 0.82 dollars per mile
Or, in other words
$0.52 \frac{dollars}{km}$
thorny flameBOT
PapaBread
thorny flameBOT
PapaBread
chrome glen
What would you multiply for example 0.85 dollars per mile by
To cancel out the miles and put a km in its place
topaz sinewBOT
@frail gyro Has your question been resolved?
frail gyro
To cancel out the miles and put a km in its place
to cancel out miles i think we need to multiply by miles?
topaz sinewBOT
to cancel out miles i think we need to multiply by miles?
frail gyro
im not too sure
chrome glen
Yes thats one half of it
Then what about km
Cause you want to convert it to dollars per km to compare the two
$\frac{dollars}{miles} \cdot \frac{?}{?} = \frac{dollars}{km}$
thorny flameBOT
PapaBread
chrome glen
The amount of dollars you get per kilometer yes
chrome glen
Ill do this one then you try the other one
frail gyro
alr
chrome glen
$\frac{dollars}{miles} \cdot \frac{miles}{km} = \frac{dollars}{km}$
thorny flameBOT
PapaBread
frail gyro
interesting
chrome glen
And you can see how the units cancel out
You can use this line of reasoning for normal conversions too
miles * km per mile = km
chrome glen
You just multiply the two fractions
Miles cancels out and uhh
$\frac{dollars}{\cancel{miles}} \cdot \frac{\cancel{miles}}{km} = \frac{dollars}{km}$
thorny flameBOT
PapaBread
chrome glen
Youre left with just
frail gyro
$/km and $/km
chrome glen
$dollars \cdot \frac{1}{km} = \frac{dollars}{km}$
thorny flameBOT
PapaBread
chrome glen
Yeah the conversion would be already done
Once you multiply the proper numbers
Im talking purely in the sense of units rn
frail gyro
oh ok
chrome glen
All of the "dollars per km" and stuff would have a number associated with it
Like 0.52 dollars per km
Or whatever it was
frail gyro
but i have a question
would the new conversion still be $0.82 per km
since it was 0.82$ per mile
frail gyro
yea same lol
chrome glen
So you could either convert 0.52 dollars per km to dollars per mile
Or 0.85 dollars per mile to dollars per km
Which one do you wanna do
It doesnt really matter which
frail gyro
lets do km
chrome glen
So you have 0.52 dollars per km
What can you multiply that by to get dollars per mile
Thinking of per again as a division of units
chrome glen
Thatd give you a unitless number
frail gyro
ah
chrome glen
Since all of the units would cancel
frail gyro
multiply by km
chrome glen
Just divide by miles
frail gyro
yea
chrome glen
So you end up with a whole multiplication unit of km/miles
Or km per mile
How many km are in a mile?
Or how many km per mile
chrome glen
So you wanna convert 0.52 $ per km to $ per mile
And you need to find the conversion factor
Id recommend writing out your units like fractions for this problem
frail gyro
alr
chrome glen
$0.52 \frac{dollars}{km}$
thorny flameBOT
PapaBread
chrome glen
Like that