Find the missing number.The base of a parallelogram is 32 cm and the area is 640 cm2. Find the height.
A. 19 cm
B. 18 cm
C. 20 cm
D. 21 cm
Answer: C
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Evaluate the integral.
A. 
B. 9
C. 27
D. 
Find the indicated probability.The age distribution of students at a community college is given below. Age (years)Number of students (f)
1133?A student from the community college is selected at random. Find the probability that the student is at least 31. Round your answer to three decimal places.
A. 0.076 B. 86 C. 0.053 D. 0.924
Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
y = xy = 2x
A. Since limx?0+ f '(x) = 2 while limx?0- f '(x) = 1, f(x) is not differentiable at x = 0. B. Since limx?0+ f '(x) = -2 while limx?0- f '(x) = -1, f(x) is not differentiable at x = 0. C. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 2, f(x) is not differentiable at x = 0. D. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 1, f(x) is differentiable at x = 0.
Solve the problem.The following is known about three numbers: If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 3. The third number plus 4 times the first number is 4. The first number plus 3 times the second number plus the third number is 19. Find the three numbers.[Hint: let x represent the first number, y the second number, and z the third number. Use the given conditions to write and solve a system of equations.]
A. x = -1, y = 5, z = 8 B. x = 0, y = 5, z = 4 C. x = 1, y = 6, z = 4 D. x = 0, y = 4, z = 7