Solve the problem.A rectangular enclosure must have an area of at least 2700 yd2. If 240 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?
A. 0 ? w ? 30
B. 30 ? w ? 60
C. 30 ? w ? 90
D. 60 ? w ? 90
Answer: B
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Solve the problem.A construction crane lifts a bucket of sand originally weighing at a constant rate. Sand is lost from the bucket at a constant rate of
. How much work is done in lifting the sand
? (Neglect the weight of the bucket.)
A. 11,200 ft ? lb B. 8000 ft ? lb C. 12,800 ft ? lb D. 9600 ft ? lb
Solve the problem.Suppose that a weight on a spring has an initial position of inches and a period of P
Find a function
that models the displacement of the weight.
A. s(t) = -4 cos (2?(0.4)t) B. s(t) = -2 cos (2?(2.5)t) C. s(t) = -4 cos (2?(2.5)t) D. s(t) = -2 cos (2?(0.4)t)
The table lists data that are exactly linear. (i) Find the slope-intercept form of the line that passes through these data points. (ii) Predict y when x = -1.5 and 4.6.
A. y = -9x + 94.8; y = 108.3, y = 53.4 B. y = -4.5x + 94.8; y = 101.55, y = 74.1 C. y = 4.5x + 94.8; y = 88.05, y = 115.5 D. y = 9x + 94.8; y = -108.3, y = -53.4
Find the area of triangle ABC with the given parts. Round to the nearest tenth when necessary.a = 47 ftb = 59 ftc = 65 ft
A. 145 ft2 B. 1337 ft2 C. 2006 ft2 D. 1671 ft2