Simplify.(sin x - cos x)2

A. 1 - 2 cos 2x
B. 1 - 2 sin x cos x
C. 1 - cos x
D. 1 + cos 2x


Answer: B

Mathematics

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Evaluate.

A. -4 B. 4 C. 0 D. 5

Mathematics

Find the indicated probability. A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected from the bag, what is the probability that it is yellow?

A. 1
B.
C. 0
D.

Mathematics

Phillip, the proprietor of a vineyard, estimates that the first 10,000 bottles of wine produced this season will fetch a profit of $2/bottle. However, the profit from each bottle beyond 10,000 drops by $0.0002 for each additional bottle sold. Assuming at least 10,000 bottles of wine are produced and sold, what is the maximum profit? Round the answer to two decimal places. ? The maximum profit is $__________ ? What would be the price/bottle in this case? Round the answer to the nearest cent. ? $__________/bottle

What will be an ideal response?

Mathematics

If a tree casts a shadow of 11 ft at the same time that a 6-ft person casts a shadow of 2 ft, find the height of the tree (to the nearest foot). ?

A. 33 ft B. 6 ft C. 2 ft D. 17 ft E. 11 ft

Mathematics