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pav-90 [236]
4 years ago
7

Evaluate f(x) = x^2 for f(-8).

Mathematics
1 answer:
taurus [48]4 years ago
5 0

Answer:

f(-8) = 64

Step-by-step explanation:

The question is simply asking us to evaluate for f(x) when x = -8:

f(-8) = (-8)²

f(-8) = 64

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Step-by-step explanation:

The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total  number of its branches, N(t), is modeled by the function:

N(t) = 63. 2^t

For illustration, let us take the growth for the first three years after he started studying the number of branches.

When \:t=1, N(1) = 63. 2^1=126\\When \:t=2, N(2) = 63. 2^2=252\\When \:t=3, N(3) = 63. 2^3=504\\504\div 252=252\div 126=2

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Therefore:

Every year, the number of branches  <u>grows</u> by a factor of <u>2.</u>

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4 years ago
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A researcher is interested in comparing the usage of bank debit cards by consumers in rural (r) and urban (u) areas. Each year f
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Answer:

A researcher is interested in comparing the usage of bank debit cards by consumers in rural (r) and urban (u) areas. Each year for the past five years, she has surveyed 500 individuals (one‑half urban, one‑half rural) randomly selected from across the United States. She is specifically interested in any differences that may exist between the two groups with regard to usage. The results of the current study indicate that people in urban areas use bank debit cards 12 times per month on average, while those in rural areas use bank cards 10 times per month on average. Which of the following is the null hypothesis that the researcher should use in comparing the usage rates?

Option C is the correct answer.

Step-by-step explanation:

The null hypothesis is the hypothesis of no difference. Therefore, the appropriate null hypothesis will be:

There is no difference in the average monthly usage of debit cards between urban and rural people.

Therefore, option C is the correct answer.

6 0
4 years ago
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