Solve by the most appropriate method.(2m - 5)2 = 81

A. m = 4, -14
B. m = 2, -7
C. m = 14, -4
D. m = 7, -2


Answer: D

Mathematics

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Use the definition to find an expression for the instantaneous acceleration of an object moving with rectilinear motion according to the given function. The instantaneous acceleration is defined as the instantaneous rate of change of the velocity with respect to time. v = 2t4 - 4t3 + 8[v is the velocity]

A. 2t3 - 4t2 + 8 B. 8t3 - 12t2 + 8 C. 8t3 - 12t2  D. 2t3 - 4t2 

Mathematics

Solve the equation.-7a + 3 + 8a = 10 - 21

A. {-34} B. {14} C. {34} D. {-14}

Mathematics

Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 652 with r = 1.4. Write a recursive sequence that describes this data, where an  denotes the insect density during year n.Find the terms a1 , a2 , a3 , ...., a5 . Round to two decimal places, if necessary.

A. a1 = 652, a2 = 391.20, a3 = 234.72, a4  = 140.83, a5  = 84.50 B. a1 = 652, a2 = 652, a3 = 652, a4  = 652, a5  = 652 C. a1 = 652, a2 = 912.80, a3 = 1277.92, a4  = 1789.09, a5  = 2504.72 D. a1 = 912.80, a2 = 1277.92, a3 = 1789.09, a4  = 2504.72, a5  = 3506.61

Mathematics

Solve the problem.A gear with a radius of 4 centimeters is turning at  radians/sec. What is the linear speed at a point on the outer edge of the gear?

A.  cm/sec
B. 20? cm/sec
C.  cm/sec
D.  cm/sec

Mathematics