Solve the problem.The cost of manufacturing a molded part is related to the quantity produced during a production run. When 100 parts are produced, the cost is $300. When 600 parts are produced, the cost is $2300. What is the average cost per part?

A. $0.25 per part
B. $5.00 per part
C. $3.33 per part
D. $4.00 per part


Answer: D

Mathematics

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Suppose ? is an angle in standard position. Given an equation of the terminal side of ?, give the exact value of the indicated trigonometric function(s). Rationalize denominators if necessary.y = -10x, Quadrant IVFind sec ? and csc ?.

A. sec ? = - ; csc ? = 
B. sec ? = - ; csc ? = 
C. sec ? = ; csc ? = - 
D. sec ? = ; csc ? = - 

Mathematics

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. x3 - 6x2 + 21x - 26 = 0

A. {-2, 2 + , 4 - }
B. {2, 3 + 2i, 3 - 2i}
C. {2, 3 + , 3 - }
D. {2, 2 + 3i, 2 - 3i}

Mathematics

The function f is one-to-one. State the domain and the range of f and f-1. Write the domain and range in set-builder notation.f(x) = 

A. f(x): D = , R = ;
f-1(x): D is all real numbers, R = 
B. f(x): D = , R = ;
f-1(x): D = , R = 
C. f(x): D = , R is all real numbers;
f-1(x): D is all real numbers, R = 
D. f(x): D = , R = ;
f-1(x): D = , R = 

Mathematics

Factor.5x2 - 40x + 80

A. 5(x - 4)2 B. 5(x + 4)2 C. Prime D. (5x - 40)2

Mathematics