Find the prime factorization of the number.80
A. 2 ? 2 ? 2 ? 2? 5 ? 5
B. 2 ? 2 ? 2 ? 5 ? 5
C. 2 ? 2 ? 2 ? 2 ? 5
D. 2 ? 2 ? 2 ? 5
Answer: C
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Solve the equation.8.8 - .02(x - 0.6) = .7x (All numbers are approximate.)
A. x ? 1.25527066 B. x ? 1 C. x ? 10 D. The equation is a contradiction.
Solve the problem.The combined capacitance N (in ?F) of a 3-?F capacitance and a variable capacitance C in series is given by Sketch the graph.
A.
B.
C.
D.
Solve.Suppose economists use as a model of a country's economy the function N(x) = 0.7478x + 6.0802,where N represents the consumption of products in billions of dollars and x represents disposable income in billions of dollars. a. Identify the dependent and independent variables.b. Evaluate N(9.52)and explain what it represents.
A. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars. b. N(9.52) = $4.4 billion; According to the model, the number of billions of dollars for the consumption of products is $4.4 billion. B. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars. b. N(9.52) = $4.6 billion; According to the model, the number of billions of dollars for the consumption of products is $4.6 billion. C. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars. b. N(9.52) = $13.2 billion; According to the model, the number of billions of dollars for the consumption of products is $13.2 billion. D. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars. b. N(9.52) = $5.2 billion; According to the model, the number of billions of dollars for the consumption of products is $5.2 billion.
Solve the problem.For what numbers x, 0 ? x ? 2?, does cos x = -1?
A. ,
B. ?
C.
D. none