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3 years ago

Find the distance between the pair of points (0,0)(6,8)

Mathematics

1 answer:

Ivahew [28]3 years ago

4 0

A(0,0)
B=(6,8)

Distance formula

$\boxed{\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

$\\ \sf\longmapsto \sqrt{(6 - 0) {}^{2} + {(8 - 0)}^{2} } \\ \\ \sf\longmapsto \sqrt{ {6}^{2} + {8}^{2} } \\ \\ \sf\longmapsto \sqrt{36 + 64 } \\ \\ \sf\longmapsto \sqrt{100} \\ \\ \sf\longmapsto 10$

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Answer:

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During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time

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Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

$\frac{dP}{dt} = Pr$

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

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This means that K = 300. So

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$P(t) = 300e^{rt}$

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