Let v and w be two vectors in the plane with given magnitudes. The angle between v and w is ?. Find the expression. Round the answer to the nearest tenth.
= 12, 
= 14, ? = 39°
Find the angle between v + w and w
A. 21.1°
B. 18.0°
C. 58.1°
D. 81.9°
Answer: B
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Evaluate the integral.
dt
A. 8 cos 
+ C
B. -cos 
+ C
C. - 
cos 
+ C
D. 
cos 
+ C
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.
Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.(15b)0
A. b B. 15 C. 0 D. 1
Solve the equation.30b2 + 43b - 2 = -17
A. 
, 
B. 
, 
C. - 
, - 
D. - 
, - 