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In the following graph, nis the midpoint of . Which of the following answer choices are the coordinates of n?

(F) (3, k)

(G)

(H)

(J)

(K)

The Correct Answer
Explanation

The following figure shows the graph of . Which of the answer choices are the correct amplitude and period of this function?


(F) amplitude = 5, period = π(G) amplitude = 5, period = 2π(H) amplitude = 5, period = 4π(J) amplitude = 10, period = 2π(K) amplitude = 10, period = 4π

Correct Answer: H

Consider all positive integer values a and b such that the product ab = 8. For how many values does there exist a positive integer c that satisfies both 2a = c and cb = 256?


(A) Infinitely many (B) 6 (C) 4 (D) 2 (E) 0

Correct Answer: C

A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?

(A)14 (B)44 (C)48 (D)54 (E)66

Correct Answer: D

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