If , with a > 0, b> 0, and c> 0, what is the value of ain terms of band c?
(A)
(B)
(C)
(D)
(E)
The graph of the trigonometric function f(x) = 2 sin x is represented below. Which of the following is true of this function?
(A)f(x) is a 1:1 function (that is, x is unique for all f(x) and f(x) is unique for all x). (B) f(x) is undefined at x = 0. (C) f(x) is even (that is, f(x) = f(-x) for all x). (D) f(x) is odd (that is, f(-x) = -f(x) for all x). (E) f(x) falls entirely within the domain -6 ≤ x ≤ 6.
Correct Answer: D
This semester, Gerry scored an average of 93 on his five history exams. He got the same score on his first two exams, and then he got a 94, an 85, and a 90 on the remaining exams. What score did he receive on his first two exams?
(F) 95(G) 96(H) 97(J) 98(K) 99
Correct Answer: J
What real number is halfway between and ?
(A) (B) (C) (D) (E)
Correct Answer: D
More ACT Math Exam Questions
- 1
The four midpoints of the sides of a square represent four points on a circle. Line segments connect the opposing corners of the square. This circle and these line segments divide the square into how many individual, non-overlapping regions of nonzero area?
- 2At a convenience store, two candy bars and two bags of potato chips cost $4.00, and three candy bars and two bags of potato chips cost $4.75. What is the price of one bag of potato chips?
- 3If 7x+ 4y= 18 and 3x+ y= –3, what is the value of x+ y?
- 4Tara’s three bowling scores in a tournament were 167, 178, and 186. What was her average score for the tournament?
- 5
A certain 18-quart stockpot is filled completely with water and exposed to a heat source so that the water boils away at a constant rate. The water remaining in the stockpot can be approximated by the following equation: y = 18 - 0.2x, where x is the number of minutes that the pot has been heated for 0 ≤ x ≤ 90, and y is the number of quarts remaining in the pot. According to this equation, which of the following statements is true about this stockpot?