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1 year ago

Please help me! Im so confused. If you could explain, too that would be great!!! <3

Mathematics

1 answer:

Zielflug [23.3K]1 year ago

8 0

Answer:

the base length is 8 units

Step-by-step explanation:

You can use pythagorean theorem to solve this

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What is the slope of a line perpendicular to the line whose equation is x-3y= -18 Fully simplify your answer.

qwelly [4]

Answer:

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Step-by-step explanation:

Isolate -3y by subtracting x from both sides

-3y = -18 - x

Divide everything by -3

y = 6 + 1/3x

Slope is 1/3, and perpendicular lines have the reverse reciprocal slope, so our slope is -3

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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:

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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.

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

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

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$24e^{50r} = 56$

$e^{50r} = 2.33$

Applying ln to both sides of the equality

$50r = 0.8459$

$r = 0.017$

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