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3 years ago

7

The fastest speed recorded for a runner is 27 mph. This is 20%of the fastest speed for a water skier. Find the record for a wate

r skier.

1 answer:

posledela3 years ago

6 0

The answer is 135 mph

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-7 2/3+(-5 1/2) +8 3/4=

vodka [1.7K]

Exact Form : -53/12
Decimal Form : -4.416
Mixed numbers : -4 5/12

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3 years ago

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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.

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

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

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

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

$24e^{50r} = 56$

$e^{50r} = 2.33$

Applying ln to both sides of the equality

$50r = 0.8459$

$r = 0.017$

So

The differential equation is

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

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3 years ago

Marcus, Nan, and Olive each have $1.65 in their pockets. They decide to combine the money. How much money do they have altogethe

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3.30
because if you have two of the same quantity then altogether means add so just add

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4 years ago

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Find the value of tan for the angle shown.

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I think it’s c I’m not sure :(

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3 years ago

Divide 254 by 11.8. round your answer to the nearest hundredth.

Olin [163]

The answer is 21.52 so I hope that helped

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3 years ago

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