Solve the problem.The area of a circle varies directly as the square of the radius of the circle. If a circle with a radius of  has an area of 78.5 square inches, what is the area of a circle with a radius of 19 inches?

A. 119.32 in2
B. 1135.94 in2
C. 59.66 in2
D. 1133.54 in2


Answer: D

Mathematics

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Determine whether the argument is valid or invalid.If the pond contains algae, then the pond does not contain trout.If the pond does not contain algae and does not contain trout, then the pond does not contain frogs.The pond contains algae.    Therefore, the pond contains frogs.

A. Invalid B. Valid

Mathematics

If a ball is thrown into the air with a velocity of 58ft/s, its height (in feet) after t seconds is given by .

Find the velocity when t=9. a. -101 ft/s b. -104 ft/s c. -106 ft/s d. -103 ft/s e. -99 ft/s

Mathematics

Provide an appropriate response.Which of the following asset types is not typically depreciated?

A. land B. office equipment C. vehicles D. buildings

Mathematics

A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of getting the given result.Exactly four twos

A. 0.083 B. 0.101 C. 0.202 D. 0.075

Mathematics