Use DeMoivre's Theorem to find the indicated power. Write the answer in rectangular form.
3
A. 27
B. -3 + 3i
C. 27 + 9i
D. 216
Answer: D
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Solve the problem.A toy rocket is launched straight upward with an initial velocity of 160 feet per second from a 2-foot high platform. The height h, in feet, of the rocket above ground t sec after it is launched is modeled by the function h(t) = -16t2 + 160t + 2. When will the rocket reach its maximum height? What is that height?
A. 1602 ft in 10 sec B. 102 ft in 10 sec C. 402 ft in 5 sec D. 27 ft in 5 sec
Provide an appropriate response.Find the area of the given figure. 
A. 34.4 in2 B. 34.1 in2 C. 29.8 in2 D. 68.2 in2
Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
?
If 
is increasing on 
, then 
for each 
in .
?
A. False. For example, 
increasing on any 
but 
B. True. This follows from the definition.
C. False. For example,
increasing on 
but
Solve the problem.Three shrimp boats supply the shrimp wholesalers on Hilton Head with fresh catch. The Annabelle takes 50% of its catch to Hudson's, 20% to Captain J's, and 30% to Mainstreet. The Curly Q takes 40% of its catch to Hudson's, 40% to Captain J's, and 20% to Mainstreet. The SloJoe takes 30% of its catch to Hudson's, 40% to Captain J's, and 30% to Mainstreet. One week Hudson's received 250.2 pounds of shrimp, Captain J's received 220.8 pounds, and Mainstreet received 163 pounds. How many pounds of shrimp did each boat catch?
A. Annabelle 198 lbs, Curly Q 164 lbs, SloJoe 272 lbs B. Annabelle 164 lbs, Curly Q 272 lbs, SloJoe 198 lbs C. Annabelle 272 lbs, Curly Q 198 lbs, SloJoe 164 lbs D. Annabelle 198 lbs, Curly Q 272 lbs, SloJoe 164 lbs