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sladkih [1.3K]
3 years ago
9

If I can walk 9673.6 meters in 5 hours. How far can I walk in 70 minutes. ( I need the work)

Mathematics
1 answer:
den301095 [7]3 years ago
6 0

First, convert 5 hours into minutes:

5 hours 60 min

------------ * --------------- = 300 min

1 1 hr

Next, find the unit rate in m/min:

9673.6 m

--------------- = 32.24 m/min

300 min

Now find the distance you can walk in 70 minutes at this rate:

32.24 m

------------- * 70 min = 2247 meters (answer)

1 min

You could walk 2247 meters (to the nearest meter) in 70 minutes.

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Limit definition for slope of the graph, equation of tangent line point for<br> f(x)=2x^2 at x=(-1)
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The slope of the tangent line to f at x=-1 is given by the derivative of f at that point:

f'(-1)=\displaystyle\lim_{x\to-1}\frac{f(x)-f(-1)}{x-(-1)}=\lim_{x\to-1}\frac{2x^2-2}{x+1}

Factorize the numerator:

2x^2-2=2(x^2-1)=2(x-1)(x+1)

We have x approaching -1; in particular, this means x\neq-1, so that

\dfrac{2x^2-2}{x+1}=\dfrac{2(x-1)(x+1)}{x+1}=2(x-1)

Then

f'(-1)=\displaystyle\lim_{x\to-1}\frac{2x^2-2}{x+1}=\lim_{x\to-1}2(x-1)=2(-1-1)=-4

and the tangent line's equation is

y-f(-1)=f'(-1)(x-(-1))\implies y-4x-2

6 0
3 years ago
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8 0
3 years ago
Select the correct answer.
laila [671]

The answer is B, hope this helps


5 0
3 years ago
Debbie set a goal to run 6 miles. On Monday she ran 2.6 miles and on Tuesday she ran 1.75 miles. How far would Debbie need to ru
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the amount of military spending M (in billions of dollars) in the U.S. during year t is given approximately by the equation M=48
Fynjy0 [20]

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Step-by-step explanation:

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=====

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Military spending hit $694.78 billion at the end of 2008.

3 0
2 years ago
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