Find the angle between the given vectors to the nearest tenth of a degree.a = 6i - 4j,  b = 2i - 7j

A. 107.7°
B. 41.4°
C. 64.0°
D. 40.4°


Answer: D

Mathematics

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Find the domain of the logarithmic function.f(x) = log5(x - 9)2

A. (-9, ?) B. (-?, 0) or (0, ?) C. (-?, 9) or (9, ?) D. (9, ?)

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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

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Estimate the product by rounding each number.6.32 × 5.03

A. 300 B. 3 C. 30 D. 42

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Find the area. Round your answer to the nearest hundredth if necessary.Find the area of the triangle with the following measurements:B = 71°, a = 11 cm, c = 18 cm

A. 93.61 cm2 B. 187.21 cm2 C. 32.23 cm2 D. 99 cm2

Mathematics