Solve the problem.Find the number of units that must be produced and sold in order to yield the maximum profit, given the following equations for revenue and cost:R = 7xC = 0.001x2 + 1.1x + 40.

A. 2950 units
B. 4050 units
C. 5900 units
D. 8100 units


Answer: A

Mathematics

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Solve.The formula for converting from Celsius temperature to Fahrenheit temperature is TF = TC + 32, where TC is the temperature in degrees Celsius. (i) Solve the formula for TC. (ii) Find the corresponding Celsius temperature for a temperature of 161°F. Round to the nearest tenth, if necessary.

A. (i) TC = (TF - 32)
(ii) 
232.2°C
B. (i) TC = TF - 32
(ii) 
321.8°C
C. (i) TC = TF - 32
(ii) 
85.9°C
D. (i) TC = (TF - 32)
(ii) 
71.7°C

Mathematics

Use the table to determine the probability. Round your answer to three decimal places if necessary.Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." The results are displayed in the following table.What is the probability that a student selected is a male, given that the student is considered a Moderate?

A. 0.447 B. 0.533 C. 0.467 D. 0.438

Mathematics

Solve. Write the answer as a mixed number in simplest form.Keith Wood has 13 feet of rope. He cuts off a 6-foot length and then a 4-foot length. If he now needs a 3-foot piece of rope, will the remaining piece do?

A. Yes, there is still  of a foot left.
B. No, he will be  of a foot short.

Mathematics

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point.Parallel to x + y = 14, through(7, 2)

A. y = -x + 9 B. y = -x - 9 C. y = x + 5 D. y = x - 5

Mathematics