Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.
3
A. 15
+ 15
i
B. 5
+ 5
i
C. 50
+ 50
i
D. -500
+ 500
i
Answer: D
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Solve for the angle ?, where 0 ? ? ? 2?sin2? = 
A. ? = 
, 
, 
, 
B. ? = 
, 
, 
, 
C. ? = 0, ?, 2?
D. ? = 
, 
, 
, 
Translate the percent problem to a proportion using x for the unknown value. Do not solve the proportion.What is 37% of 60?
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Give the meaning of the metric prefix.centi
A. 100
B. 
C. 1000
D. 
In the apportionment of the House of Representatives based on the 1790 Census, there are 15 states. At that time Maine was still considered part of Massachusetts. If Maine had been a separate state, it would have shared in the distribution of the seats in the House. In the 1790 census, Maine's population was 96,643. Subtract this number from Massachusetts' population and then answer the question.
StatePopulationConnecticut237,655Delaware59,096Georgia82,548Kentucky73,677Maryland319,728Massachusetts475,199New Hampshire141,899New Jersey184,139New York340,241North Carolina395,005Pennsylvania433,611Rhode Island69,112South Carolina249,073Vermont85,341Virginia747,550TOTAL3,893,874What are the standard quotas for Maine, Massachusetts, New Hampshire, Rhode Island , Kentucky? The number of seats in the House of Representatives was 105. Round the answers to two decimal places. MaineMassachusettsNew HampshireRhode IslandKentucky__________________________________________________ What will be an ideal response?