Solve the problem.Find all values of h such that y will be in the subspace of ?3 spanned by v1, v2, v3 if v1 =   and 

A. h = -4
B. all h ? -4
C. h = -4 or 0
D. h = -16


Answer: A

Mathematics

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The length of a rectangle is 2 times its width. If the perimeter of the rectangle is 36 inches, find its length and width. 

A. the length is 240 inches and the width is 12 inches B. the length is 12 inches and the width is 6 inches C. the length is 60 inches and the width is 12 inches D. the length is 24 inches and the width is 12 inches E. the length is 24 inches and the width is 6 inches

Mathematics

Solve the problem.Let D be the region bounded below by the xy-plane, above by the sphere  and on the sides by the cylinder . Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration .

A.
B.
C.
D.

Mathematics

Translate the problem to a system of equations, then solve using matrices.A croissant, a cup of coffee, and a fruit bowl from Kelley's Coffee Cart cost a total of $5.50, and a croissant costs twice as much as a cup of coffee. Kelley posts a notice announcing that, effective next week, the price of a croissant will go up 15% and the price of coffee will go up 15%. After the increase, the total price of the purchase will be $5.84. Find the cost of each item before the increase.

A. A fruit bowl costs $3.25, a croissant costs $1.73, and a cup of coffee costs $0.86. B. A fruit bowl costs $3.25, a croissant costs $1.50, and a cup of coffee costs $0.75. C. A fruit bowl costs $3.25, a croissant costs $0.86, and a cup of coffee costs $1.73. D. The prices cannot be determined from the given information.

Mathematics

Find the distance between points P and Q.P(0, 0, 0) and Q(3, -4, -3)

A.
B.
C. 2
D.

Mathematics