Provide an appropriate response.The graph of y = (x10)x has two horizontal tangent lines. Find equations for both of them.
A. y = e1/e and y = e-1/e
B. y = e10e and y = e-10e
C. y = e5/e and y = e-5/e
D. y = e10/e and y = e-10/e
Answer: D
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Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
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Solve the problem.A ceramics workshop makes serving bowls, platters, and bread baskets to sell at its Winter Festival. A serving bowl takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A platter takes 17 hours to prepare, 3 hours to paint, and 4 hours to fire. A bread basket takes 4 hours to prepare, 15 hours to paint, and 7 hours to fire. If the workshop has 134 hours for prep time, 64 hours for painting, and 118 hours for firing, how many of each can be made?
A. 2 serving bowls, 8 platters, 6 bread baskets B. 9 serving bowls, 7 platters, 3 bread baskets C. 8 serving bowls, 6 platters, 2 bread baskets D. 6 serving bowls, 2 platters, 8 bread baskets
Find the probability of the event.A bag contains 23 balls numbered 1 through 23. A ball is randomly selected from the bag. What is the probability that it is numbered 24?
A. 23
B. 
C. 1
D. 0
Provide an appropriate response.State whether the following situation represents direct variation, inverse variation, or neither, and explain why: A runner's speed in a race and the time that it takes to run the race.
What will be an ideal response?