Solve the problem.Newton's Universal Law of Gravitation states that the attractive force exerted on one spherically symmetric object of mass M by a second spherically symmetric object of mass m is given by  where r is the distance between the centers of the two objects and G is a constant equal to  when F is in newtons (N), M and m are in kilograms (kg), and r is in meters (m). What is the magnitude of the gravitational force exerted on an object of mass 1 kg by an object of mass 10 kg if the objects are 1 m apart?

A. 6.67 × 10-12 N
B. 6.67 × 10-10 N
C. 1 × 10-10 N
D. 1 × 10-7 N


Answer: B

Mathematics

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Use the Hamilton method to make the assignment.City A, City B, and City C are cooperating to build a community center catering to the three cities. Seats on the  committee are assigned according to the populations of the cities. The population of City A is 18,000, City B is 21,000, and City C is 22,000. Assign the seats to the committee.

A. City A: 2; City B: 5; City C: 4 B. City A: 3; City B: 4; City C: 4 C. City A: 4; City B: 3; City C: 4 D. City A: 4; City B: 4; City C: 3

Mathematics

Solve.A gift is put into a rectangular box measuring 8 × 8 × 12 inches. If each wrapping paper sheet covers 60 square inches, how many sheets must be purchased to completely wrap the gift?

A. 9 sheets B. 8 sheets C. 4 sheets D. 6 sheets

Mathematics

Evaluate the expression.-73

A. 21 B. -21 C. -343 D. 343

Mathematics

Provide an appropriate response. Find the equation of the line that is parallel to the line 4x + y = 5 and passes through the point (-2, 0). Write the equation in standard form.

A. 4x + y = -8 B. x - 4y = -2 C. 4x - y = -8 D. x + 4y = -2

Mathematics