A motorboat takes

1 answer:

5 0

A motorboat takes 3 hours to travel 144 mi going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
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144/3 = 48 mph upstream

144/2 = 72 mph downstream
The boat's speed is the average = 60 mph
The current is the difference = 72-60 = 12 mph

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inna [77]

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8 0

3 years ago

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Marina CMI [18]

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Answer:

all are Not Equivalent

Step-by-step explanation:

The coefficient of t³ in the target expression is -3. In order for that to be the result of simplifying any of the given expressions, they must have ( )^(t^3) in the denominator. None do, so none of the offered choices is equivalent to the given expression.

_____

The expressions simplify like this:

$\dfrac{(2^3)^{t^3}}{2^{5t}}=2^{3t^3-5t}\\\\\dfrac{8^{t^3}}{32^t}=2^{3t^3-5t}\\\\8^{t^3}\cdot32^t=2^{3t^3+5t}$