Factor the polynomial completely. If the polynomial cannot be factored, write "prime."5(a + 3) - y(a + 3)
A. (a - 3)(y - 5)
B. prime
C. (a + 3)(5 - y)
D. (a + 3)(5 + y)
Answer: C
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Solve the problem.Write an iterated triple integral in the order 
for the volume of the tetrahedron cut from the first octant by the plane 
.
A. 
B. 
C. 
D. 
Find the rectangular coordinates for the point for which the polar coordinates are given.
A. (6
, 6
)
B. (6
, -6
)
C. (-6
, 6
)
D. (-6
, -6
)
Find the vertices and locate the foci for the hyperbola whose equation is given.
- 
= 1
A. vertices: (-10, 0), (10, 0)
foci: (- 
, 0) , (
, 0)
B. vertices: (-9, 0), (9, 0)
foci: (- 
, 0) , (
, 0)
C. vertices: (-9, 0), (9, 0)
foci: (-10, 0), (10, 0)
D. vertices: (0, -9), (0, 9)
foci: (- 
, 0) , (
, 0)
Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?
A. 0.714 B. 0.222 C. 0.5 D. 0.2