Find the angle between v and w. Round to one decimal place, if necessary.v = 3i + 2j + k and w = 6i + 8j + 2k
A. 70.6°
B. 81.4°
C. 19.4°
D. 67.1°
Answer: C
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Determine whether the vectors 
and 
are equivalent.A(-6, 5), B(1, 7), C(-4, -3), and D(3, -1)
A. Not equivalent B. Equivalent
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Function z = 7x + 6yConstraints x ? 0 y ? 0 3x + y ? 21 x + y ? 10 x + 2y ? 12
A. Maximum 60; at (6, 3) B. Maximum 65.5; at (5.5, 4.5) C. Maximum 66; at (6, 4) D. Maximum 68; at (8, 2)
Solve the problem.The diagonal of the floor of a rectangular office cubicle is 2 feet longer than the length of the cubicle and 5 feet longer than twice the width. Find the dimensions of the cubicle. Round to the nearest tenth, if necessary.
A. width: 9.7 feet, length: 22.4 feet B. width: 3.9 feet, length: 9.7 feet C. width: 2 feet, length: 9 feet D. width: 4 feet, length: 11 feet
Find the consumer surplus at the equilibrium point.D(x) = (x - 2)2; x = 2
A. $0 B. $2.67 C. $4.75 D. $12.50