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timofeeve [1]
3 years ago
12

What is 4/7 \ 8/15 equal to

Mathematics
1 answer:
Volgvan3 years ago
5 0
<span>0.00476190476  is the answer</span>
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An electric current, I, in amps, is given by I=cos(wt)+√8sin(wt), where w≠0 is a constant. What are the maximum and minimum valu
exis [7]
Take the derivative with respect to t
- w \sin(wt) + \sqrt{8} w cos(wt)
the maximum and minimum values occur when the tangent line is zero so we set the derivative to zero
0 = -w \sin(wt) + \sqrt{8} w cos(wt)
divide by w
0 =- \sin(wt) + \sqrt{8} cos(wt)
we add sin(wt) to both sides

\sin(wt)= \sqrt{8} cos(wt)
divide both sides by cos(wt)
\frac{sin(wt)}{cos(wt)}= \sqrt{8}   \\  \\ arctan(tan(wt))=arctan( \sqrt{8} ) \\  \\ wt=arctan(2 \sqrt{2)} OR\\ wt=arctan( { \frac{1}{ \sqrt{2} } )
(wt)=2(n*pi-arctan(2^0.5))
(wt)=2(n*pi+arctan(2^-0.5))
where n is an integer
the absolute max and min will be

I=cos(2n \pi -2arctan( \sqrt{2} ))
since 2npi is just the period of cos
cos(2arctan( \sqrt{2} ))= \frac{-1}{3} &#10;
substituting our second soultion we get
I=cos(2n \pi +2arctan( \frac{1}{ \sqrt{2} } ))
since 2npi is the period
I=cos(2arctan( \frac{1}{ \sqrt{2}} ))= \frac{1}{3}
so the maximum value =\frac{1}{3}
minimum value =- \frac{1}{3}


4 0
3 years ago
Select the equation of the line parallel to the equation y = -2x - 7 that passes through the point (3, 1).
sasho [114]
Y = -2x - 7 
slope = -2 (parallel shares the same slope, -2)

Option A:
y = -2x + 7
slope = -2

At (3, 1)
y = -2(3) + 7 = 1

Answer: Option A
7 0
2 years ago
PLEASE HELP ME I NEED HELP NOW AND NO ONE IS ANSWERING
Oksanka [162]
All the choices are correct.

_____
In our base-10 number system, moving a digit one place to the left multiplies its value by 10. Moving it one place to the right multiplies its value by 1/10.

You know already that 1,000 has 10 times the value of 100, and 1/10 the value of 10,000.
4 0
2 years ago
HELP ME PLEASE IM HAVING SO MUCH TROUBLE....
zysi [14]
Pretty sure it’s B I could be wrong
5 0
3 years ago
Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad
AlekseyPX

Answer:

Step-by-step explanation:

x=number of talk mnutes

Sage uses 7 minutes = x-7

Tom uses 4 and 3 minutes = x-4-3    = x-7

7 0
2 years ago
Read 2 more answers
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