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ValentinkaMS [17]
3 years ago
14

A motorcyclist rides 973.50 miles using 29.5 gallons of gasoline what is the mileage in miles per gallon

Mathematics
1 answer:
GaryK [48]3 years ago
6 0

Answer:

The mileage is 33  miles per gallon.

Step-by-step explanation:

Miles per gallon = miles travelled / gallons consumed

= 973.50 / 29.5

= 33.

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Step-by-step explanation:

Plug this into the formula. First, subtract the numbers in the parentheses. Then, square them. Add those totals together. Lastly, take the square root using a calculator.

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Find the equation of the line normal to the curve of y=3cos1/3x, Where x=\pi
sertanlavr [38]

Answer:

y = \frac{\sqrt{2}x}{3} - \frac{\sqrt{2}\pi}{3} + 1.5

Step-by-step explanation:

The equation to the line normal to the curve has the following format:

y - y(x_{0}) = m(x - x_{0})

In whicm m is the derivative of y at the point x_{0}

In this problem, we have that:

x_{0} = \pi

y(x) = 3\cos{\frac{x}{3}}

y(\pi) = 3\cos{\frac{\pi}{3}} = \frac{3}{2}

The derivative of \cos{ax} is a\sin{ax}

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y(x) = 3\cos{\frac{x}{3}}

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m = \sin{\frac{\pi}{3}} = \frac{\sqrt{2}}{3}

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y - y(x_{0}) = m(x - x_{0})

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y = \frac{\sqrt{2}}{3}(x - \pi) +  \frac{3}{2}

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