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lesya [120]
3 years ago
9

4 miles per hour how many feet in 40 minutes can you explain how to do it pls

Mathematics
1 answer:
9966 [12]3 years ago
3 0

Answer:

14080 ft

Step-by-step explanation:

You want to convert 4 mph to ft/min and then mult. the result by 40 minutes:

4 mph       5280 ft          1 hr

---------- * --------------- * ------------- = 352 ft/min

     1          1 mile            60 min

Now multiply this rate (speed) by 40 minutes:

352 ft      40 min

---------- * ------------ = 14080 ft (answer)

  min            1

This would be the same as 2 2/3 miles (in 40 min)

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Answer:

m = \frac{1}{12}

Step-by-step explanation:

Given

(x,y) = (36,6)

f(x) = \sqrt x ----- the equation of the curve

Required

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So, we have:

m = \lim_{h \to 0} \frac{f(a + h) - f(a)}{h}

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f(36 + h) = \sqrt{36 + h}

So, we have:

m = \lim_{h \to 0} \frac{\sqrt{36 + h} - 6}{h}

Multiply by: \sqrt{36 + h} + 6

m = \lim_{h \to 0} \frac{(\sqrt{36 + h} - 6)(\sqrt{36 + h} + 6)}{h(\sqrt{36 + h} + 6)}

Expand the numerator

m = \lim_{h \to 0} \frac{36 + h - 36}{h(\sqrt{36 + h} + 6)}

Collect like terms

m = \lim_{h \to 0} \frac{36 - 36+ h }{h(\sqrt{36 + h} + 6)}

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Cancel out h

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m = \frac{1}{\sqrt{36 + 0} + 6}

m = \frac{1}{\sqrt{36} + 6}

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m = \frac{1}{12}

<em>Hence, the slope is 1/12</em>

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