3 years ago

What is the value of x? Enter your answer in the box. mm

Mathematics

1 answer:

EastWind [94]3 years ago

5 0

Answer:

1938

Step-by-step explanation:

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Convert 3 hours 21 minutes to decimal hours

geniusboy [140]

1 hour equals 60 minutes.

Divide the minutes by 60 to find the decimal portion of the time:

21 minutes / 60 = 0.35

Now add that to 3 hours to get decimal hours:

3 hours 21 minutes as a decimal would be 3.35 hours

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4 years ago

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jenyasd209 [6]

Answer:

y = 1/3

Step-by-step explanation:

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Find the average value of the function f(t)=cos13(5t)sin(5t) f(t)=cos13⁡(5t)sin⁡(5t) on the interval [4,10].

Vilka [71]

The average value is given by

$\displaystyle\frac1{10-4}\int_4^{10}\cos^{13}5t\sin5t\,\mathrm dt$

Setting $y=\cos5t$ , you get $\mathrm dy=-5\sin5t\,\mathrm dt$ , and the integral becomes

$\displaystyle-\frac1{30}\int_{\cos20}^{\cos50}y^{13}\,\mathrm dy$
$=-\dfrac1{30}\dfrac{y^{14}}{14}\bigg|_{y=\cos20}^{y=\cos50}$
$=-\dfrac{\cos^{14}50-\cos^{14}20}{420}\approx-0.00145$