Factor completely.64a3 - 125b3
A. (4a - 5b)(16a2 + 25b2)
B. (4a - 5b)(16a2 + 20ab + 25b2)
C. (4a + 5b2)(16a2 - 20ab + 25b2)
D. (64a - 5b)(a2 + 20ab + 25b2)
Answer: B
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Find the second derivative of the function.s = 
A. 
= 5t4 - 
- 
B. 
= 20t3 + 
+ 
C. 
= 20t5 + 
+ 
D. 
= 5t3 - 
- 
Solve the equation.12d2 + 38d + 30 = 0
A. 
, 
B. 
, 
C. - 
, - 
D. - 
, - 
Solve the equation.
+ 
= 
A. {5} B. {-5} C. {-2} D. {2}
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