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rusak2 [61]
4 years ago
14

There is a line that includes the point (5, 6) and has a slope of 0. What is its equation in

Mathematics
1 answer:
Solnce55 [7]4 years ago
7 0

Answer:

y = 0x +6 or y = 6 if simplified

Step-by-step explanation:

y=mx+b is slope intercept formula

m is the slope which we know ( 0 ) and we know the line passes through (5,6) so all we need to figure out is b

so plug it in and solve:

6 = 0(5) +b

6 = b

so 6 is b and now we know the equation

y = 0x +6 or y = 6 if simplified

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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
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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

X is 3 units.

Step-by-step explanation:

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3 years ago
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