Solve the problem.On a map, the length of a nature-center trail is  If the scale is  to  what is the actual length of the trail?

A. 28.2 km
B. 27.2 km
C. 31.2 km
D. 54.4 km


Answer: B

Mathematics

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Find the potential function f for the field F.F = 9x8y9z3i + 9x9y8z3j + 3x9y9z2k

A. f(x, y, z) = x9y9z3 + 9x9y8z3 + 3x9y9z2 + C
B. f(x, y, z) = x27y27z9 + C
C. f(x, y, z) = x9y9z3 + C
D. f(x, y, z) = 

Mathematics

Solve the problem.Midtown Delivery Service delivers packages which cost  per package to deliver. The fixed cost to run the delivery truck is  per day. If the company charges  per package, how many packages must be delivered daily to break even (zero profit)?

A. 12 packages B. 18 packages C. 126 packages D. 14 packages

Mathematics

Solve the problem.The total individual income tax collected by the tax collecting body of a country is a function of the number of people working, their income, and the tax rates. It has increased each year since 1970. The table below shows the individual income tax collected (in billions) for the time period between 1970 and 1995. Do you think that the amount of income tax collected is linearly related to the year? Explain your thinking.[Hint: determine the average rate of change in tax collected for different time periods.] 

A. No, the amount of tax collected is not linearly related to the year. The average rate of change (slope) is increasing throughout the period 1970 to 1995. B. No, the amount of tax collected is not linearly related to the year. The average rate of change (slope) is not constant. C. Yes, the amount of tax collected is linearly related to the year. The average rate of change (slope) is constant. D. Yes, the amount of tax collected is linearly related to the year. There is a constant difference of 5 between each of the years listed.

Mathematics

Factor out the GCF from the polynomial.s(t2 - 12) + 5(t2 - 12)

A. (t2 - 12)(s - 5) B. 5s(t2 - 12) C. (t2 - 12)(s + 5) D. (st2 - 12s) + (5t2 - 60)

Mathematics