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Serga [27]
3 years ago
14

Which set of ordered pairs does NOT represent a function?

Mathematics
1 answer:
Reika [66]3 years ago
4 0
The answer is b because it repeats “2” two times
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Is 6,500 ten times as much as 65 explanation and how to get the answer
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No, 6,500 is one hundred times as much as 65, because of the two zeros on the end.  100 and 6,500.
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3 years ago
For the given statement Pn, write the statements P1, Pk, and Pk+1.
Leno4ka [110]

Answer:

P_{1} =  2

P_{k} = k(k+1)

P_{k+1} = (k+1)(k+2)

Step-by-step explanation:

We are given the statement,

P_{n} as 2 + 4 + 6 + . . . + 2n = n(n+1)

That is,

P_{n} as 2 + 4 + 6 + . . . + 2n = \sum_{i=1}^{n}2i

So, we have,

P_{1} = \sum_{i=1}^{1}2i = 2

P_{k} = \sum_{i=1}^{k}2i = 2 + 4 + 6 + . . . + 2k = k(k+1)

P_{k+1} = \sum_{i=1}^{k}2i = 2 + 4 + 6 + . . . + 2k + 2(k+1) = (k+1)(k+2)

Thus, we get,

P_{1} =  2

P_{k} = k(k+1)

P_{k+1} = (k+1)(k+2)

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The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population
user100 [1]

Answer:

Option D:

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Step-by-step explanation:

Differential equation:

For the population in function of the time, is:

\frac{dP}{dt}

The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population and the difference between the rabbit population and the carrying capacity of the population

Carring capacity is 2400.

This means that the differential equation is kP(size of the population multiplied by the constant) multiplied by 2400 - P(difference between the population and the carrying capacity). So

\frac{dP}{dt} = kP(2400 - P)

So the answer is given by option D.

8 0
3 years ago
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