Solve the problem.The height of a vase is 5 inches. The table shows the circumference of the vase (in inches) at half-inch intervals starting from the top down. Estimate the volume of the vase by using the Trapezoidal rule with n = 10. Round your answer to the nearest thousandth. [Hint: you will first need to find the areas of the cross-sections that correspond to the given circumferences.] Circumferences 

A. 61.856 in.3
B. 101.552 in.3
C. 105.479 in.3
D. 62.876 in.3


Answer: A

Mathematics

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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 

A. Domain: all points in the xy-plane except (0, 0); range: real numbers > 0; level curves: ellipses 
B. Domain: all points in the xy-plane except (0, 0); range: all real numbers; level curves: ellipses 
C. Domain: all points in the xy-plane; range: all real numbers; level curves: ellipses 
D. Domain: all points in the xy-plane; range: real numbers > 0; level curves: ellipses 

Mathematics

Solve the problem.Dr. Taylor can see 6 patients in 3 hours. At this rate, how long would it take him to see 24 patients?

A. 12 hours B. 11 hours C. 18 hours D. 48 hours

Mathematics

Provide an appropriate response.Make up a word problem that uses the set model of addition to illustrate 20 + 17.

What will be an ideal response?

Mathematics

The triangles are similar. Find the missing side, angle or value of the variable.xa = 25b = 75c = 52

A. x = 13 B. x = 26 C. x = 52 D. x = 39

Mathematics