Use the vectors u, v, w, and z head to tail as needed to sketch the indicated vector.
u + z 
A.
B.
C.
D.
Answer: A
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Solve the problem.In 1998, the population of a given country was 21 million, and the exponential growth rate was 3% per year. Find the exponential growth function.
A. P(t) = 21e0.03t, where P(t) is in millions and t is the number of years after 1998. B. P(t) = 21e0.03, where P(t) is in millions and t is the number of years after 1998. C. P(t) = 21e3t, where P(t) is in millions and t is the number of years after 1998. D. P(t) = 210.03t , where P(t) is in millions and t is the number of years after 1998.
Graph the function.f(x) = -(x - 3)3
A.
B.
C.
D.
Determine the real solutions to the system of nonlinear equations.y2 + 3x2 = 37y2 - x2 = 1
A. (3, ), (3, -
)
B. (3, ), (3, -
), (-3,
), (-3, -
)
C. (4, ), (4, -
)
D. (4, ), (4, -
), (-4,
), (-4, -
)
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