Predict the general, or nth term, an, of the sequence.4, 16, 64, 256, 1024, . . .
A. 4n
B. 4n-1 + 3
C. 12n
D. 4 + 12(n - 1)
Answer: A
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Evaluate the integral by using multiple substitutions.
dx
A. 45 sin4 (x3 - 3x) + C
B. 
cos6 (3x2) + C
C. 
sin6 (x3 - 3x) + C
D. 
sin6 (x3 - 3x)+ C
Evaluate the integral.
A. 20 sin x - x cos x + C B. 20 sin x - 20x cos x + C C. 20 sin x - 20 cos x + C D. 20 sin x + 20x cos x + C
Solve using a system of two equations in two unknowns.Dmitri needs 5 liters of a 7% solution of sulfuric acid for a research project in molecular biology. He has two unlimited supplies of sulfuric acid solution: 5% solution and 10% solution. How many liters of each solution should Dmitri use?
A. 5% solution: 3 L, 10% solution: 2 L B. 5% solution: 3.5 L, 10% solution: 1.5 L C. 5% solution: 2.5 L, 10% solution: 2.5 L D. 5% solution: 2 L, 10% solution: 3 L
Provide an appropriate response.Simplify by combining like terms: 5x + 2y - 8y + x
A. 7x - 7y B. 6x - 6y C. 5x - 6y D. 6x + 6y