Solve the problem.A box weighing 64 lb is hanging from the end of a rope. The box is pulled sideways by a horizontal rope with a force of 27 lb. What angle, to the nearest degree, does the first rope make with the vertical?

A. 12°
B. 23°
C. 35°
D. 46°


Answer: B

Mathematics

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Solve.Suppose that you are planning a trip to England so you need to obtain some British pounds. The amount received in pounds varies directly with the amount in U.S. dollars. Your friend just converted $1900 into 988 pounds. The linear function that relates the number of pounds P to the number of U.S. dollars d is  Graph the relation between pounds and U.S. dollars.

A.

B.

C.

D.

Mathematics

An investment firm offers 3 stock portfolios, A, B, and C. The number of blocks of each type of stock in each of these portfolios is summarized in the following table: A client wants 26 blocks of high-risk stock, 25 blocks of moderate-risk stock, and 29 blocks of low-risk stock. Use the matrix operations on a graphing calculator to find how many of each portfolio should be suggested.

What will be an ideal response?

Mathematics

Solve the problem.The table lists the average annual cost (in dollars) of tuition and fees at a certain 2-year college for selected years, where year 1 represents 1992, year 3 represents 1994, and so on. Use the ordered pairs (3, 1158) and (9, 1314) to find the equation of a line that approximates the data. (If necessary, round the slope to the nearest hundredth and the y-intercept to the nearest whole number.) 

A. y = 52x + 1002 B. y = 26x - 1236 C. y = 26x + 1002 D. y = 26x + 1080

Mathematics

Solve by using the quadratic formula.n(4 - 4n) = 4

A.
B. 1
C. 0
D. no real-number solutions

Mathematics