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Likurg_2 [28]
3 years ago
10

Can someone please help me with this question?

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Answer:

If we are working in a coordinate plane where the endpoints has the coordinates (x1,y1) and (x2,y2) then the midpoint coordinates is found by using the following formula:

midpoint=(x1+x22,y1+y22)

Step-by-step explanation:

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A traffic engineer monitors the rate at which cars enter the main highway during the afternoon rush hour. From her data she esti
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Answer:

On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.

Step-by-step explanation:

Given that, the rate R(t) at which cars enter the highway is given the formula

R(t)= 100(1-0.0001t^2)

The average rate of car enter the highway during first half hour of rush hour is the average value of R(t) from t=0 to t=30.

\therefore \int_0^{30}  100(1-0.0001t^2)\ dt

=[100(t-0.0001\frac{t^3}{3})]_0^{30}

=100[(30-0.0001\frac{30^3}{3})-(0-0.0001\frac{0^3}{3})]

=2901

The average rate of car is =\frac{\textrm{The number of car}}{Time}

                                           =\frac{2910}{30}

                                          =97

On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.

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