Use the inverse trig functions to express the angle in terms of the indicated unknown side. Use one of the inverse trig functions csc-1 or sec-1 to express angle A in terms of c.

A. = csc-1 
B. = sec-1 
C. = sec-1 
D. = csc-1 


Answer: A

Mathematics

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Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 622 with r = 0.6. Write a recursive sequence that describes this data, where an  denotes the insect density during year n.Find the terms a1 , a2 , a3 , ...., a5 . Round to two decimal places, if necessary.

A. a1 = 622, a2 = 622, a3 = 622, a4  = 622, a5  = 622 B. a1 = 622, a2 = 995.20, a3 = 1592.32, a4  = 2547.71, a5  = 4076.34 C. a1 = 622 , a2 = 373.20, a3 = 223.92, a4  = 134.35, a5  = 80.61 D. a1 = 373.20, a2 = 223.92, a3 = 134.35, a4  = 80.61, a5  = 48.37

Mathematics

For the given whole number, determine the place value of the digit 3.30,500,421

A. ten-thousands B. tens C. ten-millions D. millions

Mathematics

Solve the problem. Express your answer as an integer or simplified fraction. - 4 =  - 3

A. - 14 B. - 6 C. 14 D. - 2

Mathematics

Find the optimal row or column strategy of the matrix game.Let M be the matrix game having payoff matrix  .Find the optimal row strategy.

A.  = 
B.  = 
C.  = 
D.  = 

Mathematics