For all negative even integers x, which of the following is a correct ordering of the terms x, xx, ((–x)!)x, and ((–x)!)(–x)!?
(A) ((-x)!)(-x)! ≥ ((-x)!)x ≥ x ≥ xx
(B) ((-x)!)(-x)! ≥ xx ≥ ((-x)!)x ≥ x
(C) xx ≥ x ≥ ((-x)!)(-x)! ≥ ((-x)!)x
(D) xx ≥ ((-x)!)x ≥ x ≥ ((-x)!)(-x)!
(E) x ≥ ((-x)!)x ≥ xx ≥ ((-x)!)(-x)!
The centers of 3 identically sized circles lie on the diameter of a larger circle, as shown in the figure below. Each of the 4 circles is tangent to 2 other circles, as shown. If the circumference of each small circle is 8π inches, what is the circumference of the largest circle, in inches?
(A)16π (B) 24π (C) 48π (D) 64π (E) 144π
Correct Answer: B
Dave is in Pikeston and needs to go to Danville, which is about 110 miles due south of Pikeston. From Danville, he'll head east to Rocketville, about 200 miles from Danville. As he sets out on his trip, a plane takes off from the Pikeston airport and flies directly to Rocketville. Approximately how far, in miles, does the plane fly?
(F) 310 (G) (H) (J) (K)
Correct Answer: K
If the lengths of the sides of the triangle below are shown in inches, how many inches long is side ?
(A)2 (B) 10 (C) 4 (D) 26 (E) 42
Correct Answer: A
More ACT Math Exam Questions
- 1Payton ran 1 miles on Monday, 2 miles on Tuesday, and 1 miles on Wednesday. What is the median distance that he ran?
- 2
If a, b, and c are positive prime numbers, in the equation a – b = c, either b or c must represent which number?
- 3At 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?
- 4What is the value of x if x2– 5x– 14 = 0 and x> 0?
- 5A flight instructor charges $75 per lesson, plus an additional fee for the use of his plane. The charge for the use of his plane varies directly with the cube root of the time the plane is used. If a lesson plus 27 minutes of plane usage costs $120, what is the total amount charged for a lesson involving 64 minutes of plane usage?