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3 years ago

If 9x = 63, then x = ___. (Only input whole number) Numerical Answers Expected! Answer for Blank 1:

Mathematics

1 answer:

lina2011 [118]3 years ago

5 0

If 9x = 63, then x = 7

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A recently discovered planet rotates 250 times on its axis in 15 months. At this rate, how many times will the planet rotate in

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H:150

Step-by-step explanation:

you divide 250 by 15 to get the amount of rotations per month, then once you get that answer which is 16.6666667, you then multiply that number by 9 and there is your answer

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3 years ago

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3 years ago

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3 years ago

Solve the triangle for all missing sides, rounded to the nearest tenth, and angles, rounded to the nearest degree.

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3 years ago

The population of a community is known to increase at a rate proportional to the number of people present at time t. If the popu

Lady bird [3.3K]

Answer:

$P(t) = P(0)e^{0.0693t}$

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t.

This means that the population growth is modeled by the following differential equation:

$\frac{dP(t)}{dt} = rP(t)$

Which has the following solution:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The population has doubled in 10 years

This means that $P(10) = 2P(0)$ . We use this to find r.

$P(t) = P(0)e^{rt}$

$2P(0) = P(0)e^{10r}$

$e^{10r} = 2$

$\ln{e^{10r}} = \ln{2}$

$10r = \ln{2}$

$r = \frac{\ln{2}}{10}$

$r = 0.0693$

So the equation that will estimate the population of the community in t years is:

$P(t) = P(0)e^{0.0693t}$

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3 years ago