Write a general formula to describe the variation.The volume V of a right circular cone varies directly with the square of its base radius r and its height h. The constant of proportionality is
?.
A. V = r2h
B. V = ?rh
C. V = ?r2h2
D. V = ?r2h
Answer: D
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Solve the problem.A man is planting a section of garden with tomatoes and cucumbers. The available area of the section is 140 square feet. He wants the area planted with tomatoes to be more than of the area planted with cucumbers. Write a system of inequalities to describe the situation. Let
to be planted in tomatoes and
to be planted in cucumbers.
A. x + y ? 140 x > 0.20y x ? 0 y ? 0 B. x + y = 140 x ? 0.20y x ? 0 y ? 0 C. x + y ? 140 x < 0.20y x ? 0 y ? 0 D. x + y ? 140 0.20x > y x ? 0 y ? 0
Find the vertices of the ellipse. +
= 1
A. (-3, -9), (-3, 15) B. (-12, 3), (18, 3) C. (-3, -6), (-3, 12) D. (-3, -12), (-3, 18)
Use an algebraic approach to solve the problem:Find a number such that one-half of the number is 7 less than two-thirds of the number.
A. 21 B. 42 C. 35 D. 49 E. 28
Write the number in scientific notation.1,071,000,000,000,000,000
A. 1.071 × 1018 B. 1.071 × 10-18 C. 1071 × 1015 D. 1071 × 10-15