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11111nata11111 [884]
3 years ago
12

Is 5 rational is 1/4 irrational and is 1.25 rational

Mathematics
1 answer:
Sliva [168]3 years ago
5 0
Since 5  is positive and it is one of the counting numbers, 5 is a rational, integer and natural number. 5 is not an irrational number.
Since 1/4 is a rational number, 1/4 is not an irrational number
Since 1.25 is a rational number, 1.25 is not an irrational number.
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Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions th
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Answer:

(a) 100 fishes

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P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483

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P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999

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P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168

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In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of e^{-ct} decreases

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{t \to \infty} = {e^{-ct} \to 0}

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The value of P(t) for large values is:

P(\infty) = \frac{1200}{1 + 11 * 0}

P(\infty) = \frac{1200}{1 + 0}

P(\infty) = \frac{1200}{1}

P(\infty) = 1200

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