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3 years ago

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Mathematics

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Step2247 [10]3 years ago

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Find the inner product for (4, 8) * (6,-3) and state whether the vectors are perpendicular.

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3 years ago

Read 2 more answers

Do you agree with the researchers method of predicting the population? Why or why not?

Burka [1]

Yes, I agree with the researcher's method. All the values of $a_{n}$ in the table correspond to the values of n by using their formula.

Step-by-step explanation:

Step 1:

If we substitute the values of n in the researcher's equation and we get the right values of $a_{n}$ , we can agree with the researcher's method.

The researcher's formula is $a_{n} = 1000(2)^{n-1}.$ Here $a_{n}$ is the wombat population and n is the number of years.

Step 2:

When n = 1, $a_{1} = 1000(2)^{1-1} = 1000(1) = 1,000,$

when n = 2, $a_{2} = 1000(2)^{2-1} = 1000(2) = 2,000,$

when n = 3, $a_{3} = 1000(2)^{3-1} = 1000(4) = 4,000,$

when n = 4, $a_{4} = 1000(2)^{4-1} = 1000(8) = 8,000,$

when n = 5, $a_{5} = 1000(2)^{5-1} = 1000(16) = 16,000.$

As all the values correspond to the values on the table, I agree with the researcher's method.

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3 years ago