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nekit [7.7K]
4 years ago
12

Average of 35, 45 and x is equal to five more than twice x. Find x​

Mathematics
1 answer:
maxonik [38]4 years ago
4 0

Answer:

x=75

Step-by-step explanation:

35+45+x=2x+5

80+x=2x+5

80-5=2x-x

75=x

I hope I was of help and plz mark this answer as brainliest

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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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Read 2 more answers
Y varies inversely with x if y = 7 when x =-4, find y when x = 5​
marysya [2.9K]

Answer:

y = - \frac{28}{5}

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 7 when x = - 4, then

7 = \frac{k}{-4} ( multiply both sides by - 4 )

- 28 = k

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When x = 5 , then

y = \frac{-28}{5} = - \frac{28}{5}

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