Find a counterexample to show that the statement is false.All actors are Academy Award winners.

What will be an ideal response?


Answers may vary. Sample answer: Actor Jim Carrey is not an Academy Award winner.

Mathematics

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Solve the problem.A pendulum swings though an angle of 20° each second. If the pendulum is 25 inches long, how far does its tip move each second? Round your answer to two decimal places when necessary.

A. 10.02 in. B. 6.88 in. C. 8.73 in. D. 11.16 in.

Mathematics

Provide an appropriate response.Explain the error in the following: 10x2 - 90 = (x + 3)(x - 3).

What will be an ideal response?

Mathematics

Solve the problem.Find a formula for the viewing area of a television screen in terms of its diagonal d and the angle ? shown in the figure. Write the formula using a single trigonometric function. Use the formula to find the viewing area for a 34-in.-diagonal television for which  Round to the nearest tenth. 

A. A = d2 cos(2?); 236.4 in.2
B. A = d2 sin(2?); 1,131.6 in.2
C. A =  sin(2?); 565.8 in.2
D. A =  cos(2?); 118.2 in.2

Mathematics

Write a formula for a linear function f whose graph satisfies the conditions.Slope: - ; y-intercept: 

A. f(x) = - x - 
B. f(x) = x - 
C. f(x) = - x + 
D. f(x) = x + 

Mathematics