Write the equation for the plane.The plane through the point P(-7, 7, 3) and parallel to the plane 
A. -8x - 6y + 3z = -23
B. 4y = 23
C. -8x - 6y + 3z = 23
D. -8x - 6y + 3z = -5
Answer: C
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Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries.z = 8x + 4y + 7; R = {(x, y): 0 ? x ? 1, 1 ? y ? 3}
A. 28 B. 38 C. 26 D. 36
A computer password is made up of four characters. Each character can be a capital letter (A through Z), a lowercase letter (a through z) or a digit (0 through 9).How many passwords consist entirely of letters?
A. 52 × 51 ×50 × 49 B. 52 × 4 C. 524 D. 452 E. none of these
Recent studies show that the number of three-legged frogs in a particular area is increasing due to exposure to chemical pollutants. The first set of data reported in 2000 estimates a population of 5000 three-legged frogs. Statistics show an annual increase of 15%. Let GN denote the number of three-legged frogs projected to inhabit this area in the year 2000 + N.Give an explicit formula for GN.
A. GN = 5000 ? (1.5)N B. GN = N ? (1.15)5000 C. GN = 5000 ? (N)1.15 D. GN = N ? (5000)1.5 E. GN = 5000 ? (1.15)N
Solve.The velocity v of a falling object (ignoring air resistance) is directly proportional to the time t of the fall. If, after 5 seconds, the velocity is 160 feet per second, what will its velocity be after 8 seconds?
A. 256 feet/second
B. 259 feet/second
C. 
foot/second
D. 163 feet/second