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Mamont248 [21]
2 years ago
9

Is it a b c or d!???????????????ksnsnsksnsjsksbdnsnddjdi

Mathematics
1 answer:
sergiy2304 [10]2 years ago
5 0

Answer:

Correct amnswer is A

Step-by-step explanation:

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The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
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Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

400 = 200r(1 - \frac{200}{1200})

166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

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2 years ago
The fuel efficiency (in miles per gallon) of an SUV depends on its weight according to the formula†
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the temperature in Portland, Marine, reached -3.5ºF one day last winter. Between with two integers does the temperature lie?
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It lies between -3 and -4.

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It takes most oceans about 6 hours to go from high tide to low tide.Suppose that the water level decreases at a rate of 3 feet p
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Answer:

From the level of high tide to low tide, it's 18 feet.

Step-by-step explanation:

To find the change in water level, we multiply the rate (3 ft / hr) by the time (6 hrs), obtaining 18 ft.

The water level changes by 18 ft.

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