State whether the vectors are parallel, orthogonal, or neither.v = i + j,w = i - 4j

A. Parallel
B. Orthogonal
C. Neither


Answer: C

Mathematics

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Solve the problem.The lower edge of a dam is defined by the parabola (see figure). Use a coordinate system with y = 0 at the bottom of the dam to determine the total force on the dam. Lengths are measured in meters. 

A. 60,963,840 N B. 121,927,680 N C. 13,547,520 N D. 243,855,360 N

Mathematics

Simplify the radical expression. Assume that all variables represent positive real numbers.

A.
B. 4x12
C. 4x27
D.

Mathematics

Solve the problem.The velocity of water ft/s at the point of discharge is given by  where P is the pressure  of the water at the point of discharge. Estimate the rate of change of the velocity with respect to pressure if the pressure is  (Round to two decimals.)

A. 48.97 ft/s per lb/in.2 B. 0.07 ft/s per lb/in.2 C. 0.61 ft/s per lb/in.2 D. 1.22 ft/s per lb/in.2

Mathematics

Add.-3 + (-10) + (-24) + (-7)

A. -18 B. -44 C. 10 D. -38

Mathematics