Find the exact value of the expression if ? = 45°. Do not use a calculator.f(?) = sin ?Find 5 f(?).

A. - 
B.
C.
D. - 


Answer: C

Mathematics

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Find the exact value by using a half-angle identity.sin 165°

A. -  
B.  
C.  
D. -  

Mathematics

Solve the problem.The population of a particular city is increasing at a rate proportional to its size. It follows the function where k is the current population and t is the time in years. If the current population is 18,000, in how many years is the population expected to be 45,000? (Round to the nearest year.)

A. 13 yr B. 7 yr C. 82 yr D. 6 yr

Mathematics

Solve the problem.Suppose the monthly total revenue for manufacturing baseball bats is R(x) = 26.00x, where x is the number of bats sold each month. Find and interpret the marginal revenue for the product.

A. $2.60 per bat; The revenue will increase by $2.60 for each additional bat sold in a month. B. -$2.60 per bat; The revenue will decrease by $26.00 for each additional bat sold in a month. C. $260 per bat; The revenue will increase by $260 for each additional bat sold in a month. D. $26.00 per bat; The revenue will increase by $26.00 for each additional bat sold in a month.

Mathematics

Solve the problem. Express answers relative to an x'y'-system in which the given equation has no x'y'-term.x2 + xy + y2 - 3y - 6 = 0; Find the coordinates of the vertices on the minor axis.

A. (0, -2) and (0, 2)
B.  and 
C. (- , 0) and (, 0)
D.  and 

Mathematics