Use the distributive property to multiply the given expressions.6(x - 7)

A. 6x - 42
B. 6x - 7
C. 6x + 42
D. x + 42


Answer: A

Mathematics

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Divide.

A. 0.26a B. 12.6a C. 1.26a D. 2.6a

Mathematics

Solve the problem.The function A = A0e-0.01386x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 900 pounds of the material are placed in the vault, how much time will need to pass for only 65 pounds to remain?

A. 380 yr B. 190 yr C. 195 yr D. 200 yr

Mathematics

Solve the problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 750 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?

A. 11 P1 planes and 7 P2 planes
B. 7 P1 planes and 11 P2 planes
C.

9 P1 planes and 13 P2 planes

D. 5 P1 planes and 17 P2 planes

Mathematics

Use the pH scale to solve the problem. Negative ions, designated by the notation [OH-] are always present in any acid or base. The concentration, [OH-], of these ions is related to [H+] by the equation [OH-] ? [H+] = 10-14 moles per liter. Find the concentrations of [OH-] and [H+] in moles per liter for the substance with the following pH value. Round to two decimal places. pH = 12.3

A. [H+] = 2.00 × 10-13 [OH-] = 5.01 × 10-3 B. [H+] = 5.01 × 10-11 [OH-] = 2.00 × 10-3 C. [H+] = 5.01 × 10-13 [OH-] = 2.00 × 10-2 D. [H+] = 2.00 × 10-2 [OH-] = 5.01 × 10-13

Mathematics