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yanalaym [24]
3 years ago
10

The speedometer in Kevin's car reads in both miles/hour and kilometers/hour. What information is needed to convert between these

two units?a) the number of miles in 1 kilometerb) the number of kilometers that are traveled in 1 hourc) the number of miles that are traveled in 1 hourd) the number of hours per 1 kilometer
Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0

Answer:

a) the number of miles in 1 kilometer

Step-by-step explanation:

The car converts from miles/hour to kilometers/hour, if we see the time measurement (hours) it stays the same in both units.

So to make the conversion<u> it is enough to know how many miles are in one kilometer.</u>

For example, lets convert 10miles/hour to kilometers/hour.

there are 0.621371 miles in 1 kilometer, so if we divide 10miles/hour by 0.621371 we get kilometers/hour units:

\frac{10miles}{hour} (\frac{1kilometer}{0.621371miles} )=16.0934\frac{kilometers}{hour}

Thus to make the conversion between the two units is needed the number of miles in 1 kilometer.

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Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

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Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

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we know that

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we have

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substitute

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The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

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