A package is pushed across a floor for a distance of 30 feet by exerting a force of 15 pounds downward at an angle of  with the horizontal. How much work is done? Apply the rules regarding the use of significant digits when determining your answer.
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__________ 

Fill in the blank(s) with the appropriate word(s).


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Mathematics

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Solve the problem.In the formula N = Iekt, N is the number of items in terms of an initial population I at a given time t and k is a growth constant equal to the percent of growth per unit time. There are currently 75 million cars in a certain country, increasing by 1.1% annually. How many years will it take for this country to have 95 million cars? Round to the nearest year.

A. 5 yr B. 272 yr C. 18 yr D. 21 yr

Mathematics

Use the brute force algorithm to find a minimum Hamilton circuit for the graph. Also, determine the total weight of the minimum Hamilton circuit.

A. Minimum Hamilton circuits are A ? C ? B ? D ? E ? A and A ? C ? E ? B ? D ? A; 
B. Minimum Hamilton circuit is A ? B ? D ? E ? C ? A; weight = 49
C. Minimum Hamilton circuit is A ? C ? B ? E ? D ? A; weight = 45
D. Minimum Hamilton circuits are A ? C ? B ? D ? E ? A and A ? E ? C ? B ? D ? A; 

Mathematics

Rotate the axes so that the new equation contains no xy-term. Graph the new equation.x2 + xy + y2 - 3y - 6 = 0

A.

B.

Mathematics

Solve the problem.One cook can make enough food for 350 people a night. How many cooks are needed to feed 3150 people a night?

A. 9 cooks B. 8 cooks C. 10 cooks D. 7 cooks

Mathematics