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kramer
2 years ago
7

A person plans to drive across country 1,798 miles. At what speed would they have to drive in order to drive no more than 30 hou

rs?
Mathematics
2 answers:
pychu [463]2 years ago
6 0

Answer:

59.9 mph or rounded to the nearest tenth (60 mph)

Step-by-step explanation:

Speed=Distance÷time

Distance-1798

Time-30

Speed-?

1798÷30=59.9mph or 60mph

sukhopar [10]2 years ago
3 0
59.9 miles, You can do this by dividing 1,798 by 30 which will give you 59.9
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Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre
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Answer:

The area function is

A=\frac{135}{2}x-\frac{9}{2}x^2.

The domain and range of A is (0,15m) and (0, 253.125 m^2].

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The given length of fencing is 90 m.

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A= 3 xy \;\cdots (i)

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From the given value:

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A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)

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x=15-\frac{2y}{3}

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\frac {dA}{dx}=0

\Rightarrow \frac{135}{2}-9x=0

\Rightarrow x=\frac{15}{2}

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\frac {d^2A}{dx^2}=-9

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Put this value back to equation (iii) to get the maximum value of area function. We have

A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2

\Rightarrow A=253.125 m^2

Hence, the range of area function is (0, 253.125 m^2].

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