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VLD [36.1K]
2 years ago
9

What does T equal to?

Mathematics
2 answers:
GarryVolchara [31]2 years ago
8 0

Answer:

4/3

Step-by-step explanation:

t^3=64/27

=4^3/3^3

=index same

t =4/3

lubasha [3.4K]2 years ago
5 0

Answer:

4/3)

Step-by-step explanation:

t- 3= 64/27

= 4-3/3-3

= index  same

t = 4/3

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The Department of Agriculture is monitoring the spread of mice by placing 100 mice at the start of the project. The population,
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Assuming that the differential equation is

\frac{dP}{dt} = 0.04P\left(1-\frac{P}{500}\right).

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Now, intagrating in both sides of the equation

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In order to calculate the integral in the left hand side we make a partial fraction decomposition:

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\frac{K-P(t)}{P(t)} = Ae^{-kt}.

The next step is to substitute the given values in the statement of the problem:

\frac{500-P(t)}{P(t)} = Ae^{-0.04t}.

We calculate the value of A using the initial condition P(0)=100, substituting t=0:

\frac{500-100}{100} = A} and A=4.

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\frac{500-P(t)}{P(t)} = 4e^{-0.04t}.

Finally, as we want the value of t such that P(t)=200, we substitute this last value into the above equation. Thus,

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