A deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds) of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. If a card is chosen from a deck of cards, find the probability of each event.Selecting the 9 of clubs
A.
B.
C.
D.
Answer: C
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Find all the local maxima, local minima, and saddle points of the function.
A. f(0, 0) = -3439, saddle point; f(9, 10) = 0, saddle point; f(9, -10) = 0, saddle point; f(-9, 10) = 0, saddle point; f(-9, -10) = 0, saddle point B. f(0, 0) = -3439, saddle point; f(0, 10) = 6561, local maximum; f(0, -10) = 6561, local maximum; f(9, 0) = -10,000, local minimum; f(9, 10) = 0, saddle point; f(9, -10) = 0, saddle point; f(-9, 0) = -10,000, local minimum; f(-9, 10) = 0, saddle point; f(-9, -10) = 0, saddle point C. f(0, 0) = -3439, saddle point; f(0, 10) = 6561, local maximum; f(9, 0) = -10,000, local minimum D. f(0, 10) = 6561, local maximum; f(0, -10) = 6561, local maximum; f(9, 0) = -10,000, local minimum; f(-9, 0) = -10,000, local minimum
The amount G, in pounds, of grass a kangaroo will eat in a day depends on the amount V, in pounds per acre, of vegetation present. The relationship is given by
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A: Make a graph of G versus V. Include vegetation levels up to 2,000 pounds per acre.B: What vegetation level will cause a kangaroo to consume 2.1 pounds in a day?C: Is the graph concave up or concave down? Explain in practical terms what this means about how the kangaroo feeds.D: What is the most a kangaroo will eat in a day no matter how much vegetation is present?
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Round your answer to two decimal places if necessary.
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What will be an ideal response?
Solve the equation. =
A.
B. -
C.
D.
Add the numbers using the number line.-9 + 0
A. 0 B. -90 C. 9 D. -9