Solve the equation. Round to the nearest tenth, if necessary.A ball is dropped from a cliff that is 224 ft high. The distance S (in feet) that it falls in t seconds is given by the formula S = 16t2. How many seconds will it take for the ball to hit the ground?

A. 15 sec
B. 3.7 sec
C. 3136 sec
D. 14.4 sec


Answer: B

Mathematics

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An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 3yConstraintsx ? 0 0 ? y ? 2 x - y ? 3 x + 2y ? 6

A. Maximum: 20; at (2, 2) B. Maximum: 31; at (4, 1) C. Maximum: 6; at (0, 2) D. Maximum: 21; at (3, 0)

Mathematics

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with  and  .log6 13 - log6 x

A. log6 
B. log6 
C. log6 (13 - x)
D. log12

Mathematics

Decompose the fraction into partial fractions. ?

What will be an ideal response?

Mathematics

Predict the end behavior of the graph of the function.f(x) = -x3 - 9x2 - 3x + 3

A. Down on both sides B. Up on left side, down on right side C. Up on both sides D. Down on left side, up on right side

Mathematics