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ozzi
3 years ago
9

How many solution does an equation have when you isolate the variable and it equals a constant

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0

Answer:

Step-by-step explanation:

it depends. if (for example) y=x2 then there are an infinite amount of answers. if there is an equation like: If (variable X)= (variable Y) + 5 and if X=5, what is Y? then there is only one answer. check an algebra book, it can give you a more detailed answer.

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The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
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Answer:

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Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

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166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

3 0
3 years ago
When I add two to my number and then multiply it by five, I get thirty. What is my number?
rjkz [21]
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