Solve the problem.Two boats leave a dock at the same time. One boat is headed directly east at a constant speed of 35 knots (nautical miles per hour), and the other is headed directly south at a constant speed of 22 knots. Express the distance d between the boats as a function of the time t.

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


d(t) = sqrt(1709)t

Mathematics

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Solve the problem.Find the number of units that must be produced and sold in order to yield the maximum profit, given the following equations for revenue and cost:R(x) = 50x - 0.5x2C(x) = 10x + 3.

A. 43 units B. 40 units C. 60 units D. 41 units

Mathematics

Solve the given equation graphically.11 - 3x = -10

A. 9 B. 7 C. 1 D. 3

Mathematics

Estimate the sum or difference by rounding each number to the nearest hundred.6,869

A. 5,300 B. 5,233 C. 5,200 D. 5,000

Mathematics

Factor.729y3 - 343

A. (9y + 7)(81y2 - 63y + 49) B. (9y - 7)(81y2 + 49) C. (9y - 7)(81y2 + 63y + 49) D. (729y - 7)(y2 + 63y + 49)

Mathematics