Solve the problem.A circular hole is filled with concrete to make a footing for a load-bearing pier. The hole measures 15 inches across and requires 1.6 bags of concrete in order to fill it to ground level. What is the depth of the hole? Round your answer to the nearest inch. (One bag of concrete, when mixed with the appropriate amount of water, makes 1800 in.3 of material.)
A. 13 in.
B. 20 in.
C. 22 in.
D. 16 in.
Answer: D
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Solve.A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. If the rate of the car is 30 miles per hour less in the mountains than on level ground, find its rate in the mountains.
A. 80 mph B. 40 mph C. 50 mph D. 20 mph
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + 2xy + y2 - 8x + 8y = 0
A. ? = 45°
y'2 = -4
x'
parabola
vertex at (0, 0)
focus at (-
, 0)
B. ? = 45°
x'2 = -4
y'
parabola
vertex at (0, 0)
focus at (0, -
)
C. ? = 36.9°
+ 
= 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
D. ? = 36.9°
+ 
= 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
Use the Mathematics Blueprint for Problem Solving to solve.Lucus had a balance of $21 in his checking account. Since then he made deposits of $187, $445 and $454 and wrote checks for $74, $137, $139, and $240. When all of the deposits are recorded and all of the checks clear, what will balance will he have in his checking account?
A. $496 B. $1697 C. $517 D. $591
Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = e2x - 2; relative to f(x) = ex
A. Stretched horizontally;
moved down 2 unit(s)
B. Shrunk horizontally;
moved up 2 unit(s)
C. Shrunk horizontally;
moved down 2 unit(s)
D. Stretched horizontally;
moved up 2 unit(s)