Provide an appropriate response.An automobile factory produces two models. The first model requires 1 hour to paint and 
hour to polish. The second requires 1 hour for each process. During each hour that the assembly line is operating, there are 100 hours available for painting and 80 hours for polishing. How many of the first model can be produced each hour if all the hours available are to be used?
A. 70
B. 60
C. 50
D. 40
E. 30
Answer: D
Mathematics
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Provide an appropriate response.A small cone has been removed from the top of the original cone. What is the ratio of the volume of the original cone to the volume of the small cone which was removed, given that the radius of the original cone is twice the radius of the small cone? [Hint: Use similar triangles]
A. 8 : 1 B. 8 : 3 C. 4 : 1 D. 2 : 1
Mathematics
Find an equation for the line with the given properties.Perpendicular to the line y = 
x + 9; containing the point (4, -5)
A. y = 7x - 23
B. y = - 7x - 23
C. y = - 
x - 
D. y = - 7x + 23
Mathematics
Sketch the graph of the pair of functions. Use a dashed line for g(x).f(x) = x2 , g(x) = (x - 6)2 - 5
A. 
B. 
C. 
D. 
Mathematics
Simplify completely.
A. a - b
B. a - 2b + 1
C. 
D. 
Mathematics