Solve the problem.A field microphone used at a soccer game has a parabolic cross section and is 24 in. wide at the opening. The focus is 4 in. from the vertex. Find the depth of the microphone. Round your answer to the nearest hundredth inch.

A. 36.00 in.
B. 144.00 in.
C. 9.00 in.
D. 4.00 in.


Answer: C

Mathematics

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Graph the equation by determining the missing values needed to plot the ordered pairs.y - x = 2; (2, ), ( , 8), (4, )

A.

B.

C.

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Solve the problem.Find the equation of a circle in standard form that is tangent to the line x = -3 at (-3, 5) and also tangent to the line x = 9.

A. (x - 3)2 + (y - 5)2 = 36 B. (x + 3)2 + (y - 5)2 = 36 C. (x + 3)2 + (y + 5)2 = 36 D. (x - 3)2 + (y + 5)2 = 36

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Solve the problem.R and C play a game by each showing none, one, or two fingers. If each player shows the same number of fingers, R pays C a number equal to the total number of fingers shown. If the two players each show a different number of fingers, C pays R a number equal to the total number of fingers shown.(a) Give the payoff matrix.(b) Suppose R shows one finger 50% of the time and two fingers 50% of the time, and C always shows two fingers. Calculate the expected value for this strategy.

What will be an ideal response?

Mathematics

Write the decimal in words.9.00324

A. Nine and three hundred twenty-four millionths B. Nine and three hundred twenty-four tenths C. Nine and three hundred twenty-four thousandths D. Nine and three hundred twenty-four hundred-thousandths

Mathematics