Find the values of x for which the geometric series converges.
A. -9 < x < 9
B. 8 < x < 9
C. 9 < x < 10
D. 8 < x < 10
Answer: D
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Factor.9x2 - 25
A. (3x + 5)(3x - 5) B. (3x + 5)2 C. (3x - 5)2 D. 9x2 - 25
Find the area.
A. 405 in.2 B. 200 in.2 C. 250 in.2 D. 810 in.2
Use the vertical line test to determine whether or not the graph is a graph of a function.
A. not a function B. function
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. Is it possible to reach the central ankh tower and touch it?
?
?
Ahmes' dilemma. Note that there are two ankhshaped 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.
?
A. Yes
B. No