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Natasha_Volkova [10]
3 years ago
5

10 pts

Mathematics
1 answer:
Simora [160]3 years ago
4 0
Area = pi * radius^2
radius = diameter/2 = 26/2 = 13 feet

Area = 3.14 * (13^2)
Area = 3.14 * 169 = 530.66 ft^2
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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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3 years ago
A garden is in the shape of a rectangle. If the garden has a length of 4 feet and a width of 6 feet, what is the area of the gar
julsineya [31]

A=lw = 6 \times 4 = 24 \:  {ft}^{2}

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Write the equation of the line in fully simplified slope-intercept form.
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Step-by-step explanation:

For every 3 squares across, the line drops by 1 square.

Therefore the slope of the lina is -1/3.

The y-intercept of the line is -8 (when x = 0)

The equation of the line is y = -1/3 x - 8.

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Answer:

24

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3 years ago
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