For the measured quantity, state the set of numbers that is most appropriate to describe it. Choose from the natural numbers, integers, and rational numbers.The lengths of randomly cut pieces of string (measured to the nearest inch)

A. Rational numbers
B. Integers
C. Natural numbers


Answer: C

Mathematics

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Solve the problem.Estimate the area of the surface generated by revolving the curve y = 2x2, 0 ? x ? 3 about the x-axis.Use Simpson's Rule with n = 6.

A. 1007.254 B. 1024.885 C. 1021.107 D. 996.028

Mathematics

Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 25t2, y = 5t, -? ? t ? ?

A. x = y2; Entire parabola, top to bottom (from
1st quadrant to origin to 4th quadrant)

B. y = x2; Entire parabola, right to left (from
1st quadrant to origin to 2nd quadrant)

C. x = y2; Entire parabola, bottom to top (from
4th quadrant to origin to 1st quadrant)

D. y = x2; Entire parabola, left to right (from
2nd quadrant to origin to 1st quadrant)

Mathematics

Write the equation of a line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form and in the form of  where A, B, and C are integers and A > 0.(1, -4); y = 2x - 2

A. y = -2x + 2 2x + y = 2 B. y = 2x + 6 2x - y = -6 C. y = -2x - 2 2x + y = -2 D. y = 2x - 6 2x - y = 6

Mathematics

Perform the indicated operations and simplify the result. Leave the answer in factored form. + 

A.
B.
C.
D.

Mathematics