Use the appropriate sum or difference identity to write the given expression as a function of x alone.sin 
A. sin x
B. -cos x
C. -sin x
D. cos x
Answer: B
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Round as indicated.433 to the nearest hundred
A. 300 B. 400 C. 410 D. 500
Find the requested long-range probabilities based on the transition matrix or data given.Weather is classified as fair, cloudy or rainy in a certain place. The probability that it will be fair, cloudy, or rainy on a given day depends on the weather the previous day. The transition matrix is given below. Find the prediction for the proportion of fair, cloudy, and rainy days.
A.
B.
C. [0.49 0.31 0.20]
D. [0.49 0.20 0.31]
Solve the linear programming problem.A doctor has told a sick patient to take vitamin pills. The patient needs at least 6 units of vitamin A and at least 6 units of vitamin B. The red vitamin pills cost each and contain 1 unit of A and 2 units of B. The blue vitamin pills cost
each and contain 2 units of A and 1 unit of B. To avoid indigestion, the patient should take no more than 4 red pills and no more than 7 blue pills. How many pills should the patient take each day to minimize costs?
A. 4 red and 7 blue B. 2 red and 2 blue C. 0 red and 6 blue D. 4 red and 1 blue
Write the first four terms of the sequence whose general term is given.an =
A. 1, ,
,
B. 2, ,
,
C. ,
,
,
D. 1, ,
,