Assume that p represents a true statement, q represents a true statement, and r represents a false statement. Determine the truth value of the following.r ? (~p ? q)
A. False
B. True
Answer: B
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Solve the problem.The distance D in feet that an object has fallen after t seconds is given by D(t) = 16t2. (i) Evaluate D(2) and D(5). (ii) Calculate the slope of the secant line through D(2) and D(5) on the graph of D and interpret the answer in terms of an average rate of change of D from 2 to 5.
A. (i) 32, 80 (ii) 112; the object's average speed from 2 to 5 seconds is 112 ft/sec. B. (i) 64, 400 (ii) 48; the object's average speed from 2 to 5 seconds is 48 ft/sec. C. (i) 32, 80 (ii) 48; the object's average speed from 2 to 5 seconds is 48 ft/sec. D. (i) 64, 400 (ii) 112; the object's average speed from 2 to 5 seconds is 112 ft/sec.
Solve the problem.The population of a country is predicted to increase from 
in 2000 to 
in 2050. Assuming the unlimited growth model 
fits this population growth, express the population y as a function of the year t. Let 2000 correspond to t = 0.
A. y = 
B. y = 49.5e0.01668t
C. y = 21.5e0.01468t
D. y = 21.5e0.01668t
Find the probability of the given event.A single fair die is rolled. The number on the die is less than 6.
A. 1
B. 
C. 
D. 
Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number.eight times the product of 3 and a number.
A. 8(3x); 24x
B. 8
; 
x
C. 8 + 3x; 11x
D. 8(x + 3); 8x + 3