Simplify the expression.(13 - 11)3+ (2 + 5)3
A. 351
B. 141
C. 999
D. 729
Answer: A
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Write a fraction to represent the shaded portion of the figure.
A.
B.
C.
D.
Solve the problem.An SUV weighing 4500 pounds is parked on a street which has an incline of Find the force required to keep the SUV from rolling down the hill and the force of the SUV perpendicular to the hill. Round the forces to the nearest hundredth.
A. 1088.65 lb and 4366.33 lb B. 470.38 lb and 4475.35 lb C. 781.42 lb and 4431.63 lb D. 390.71 lb and 2215.82 lb
Thoth, an ancient Egyptian god of wisdom and learning, has abducted Ahmes, a famous Egyptian scribe, in order to assess his intellectual prowess. Thoth places Ahmes before a large funnel set in the ground (see figure below). It has a circular opening 1,000 ft in diameter, and its walls are quite slippery. If Ahmes attempts to enter the funnel, he will slip down the wall. At the bottom of the funnel is a sleep-inducing liquid that will instantly put Ahmes to sleep for eight hours if he touches it. Thoth hands Ahmes two objects: a rope 1,006.28 ft in length and the skull of a chicken. Thoth says to Ahmes, "If you are able to get to the central tower and touch it, we will live in harmony for the next millennium. If not, I will detain you for further testing. Please note that with each
passing hour, I will decrease the rope's length by a foot. How can Ahmes reach the central ankh tower and touch it?
?
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Ahmes' dilemma. Note that there are two ankh-shaped towers. One stands on a cylindrical platform in the center of the funnel. The platform's surface is at ground level. The distance from the platform surface to the liquid is 500 ft. The other ankh tower is on land, at the edge of the funnel.
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What will be an ideal response?
Solve the problem.Employees of a publishing company received an increase in salary of 8% plus a bonus of $1000. Find the total annual pay after the increase for an initial salary of $1000.
A. $22,222 B. $26,000 C. $46,000 D. $28,000