Find the limit.

A. Does not exist
B. -?
C. 9
D. ?


Answer: D

Mathematics

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Find the standard equation of a parabola with the given focus or directrix. Assume that the vertex is at the origin.Focus at (, 0)

A. y2 = x
B. y2 = 4x
C. x2 = 20y
D. x2 = 4y

Mathematics

Solve the problem.The hyperbola   -   = 1 is shifted down 4 units and right 5 units. Find an equation for the new hyperbola and find the new vertices.

A.  -   = 1; vertices: (5 ±  , -4 )
B.  -   = 1; vertices: (5, -4 ±  )
C.  -   = 1; vertices: (5, -4 ±  )
D.  -  = 1; vertices: (5 ±  , -4 )

Mathematics

Provide an appropriate response.True or False? If a number is not divisible by 10, then it is not divisible by 20.

A. True B. False

Mathematics

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

Mathematics