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Allisa [31]
3 years ago
10

WILL MARK BRAINLIEST PLS HELP

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0

Answer:

209.96

Step-by-step explanation:

we know that the circumference of the circle is equal to

C = \pi D

we have

D = 64 ft

substitute would be

C = \pi (64) = 64\pi ft

assume that \pi = 3.14

6464\pi  = 64 * 3.14 = 200.96 ft

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2 years ago
n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t
givi [52]

Answer:

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

We use this equation to find the value of r.

In this problem, we have that:

K = 16, P_{0} = 2, P(50) = 4

So we find the value of r.

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}

4 = \frac{32e^{50r}}{14 + 2e^{50r}}

56 + 8e^{50r} = 32e^{50r}}

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So

The differential equation is

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3 0
3 years ago
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