A hot air balloon is in the shape of a sphere. Approximately how much fabric was used to construct the balloon if its diameter is 37 ft? Round to the nearest whole number.
A) 17,203 ft²
B) 212,175 ft²
C) 4301 ft²
D) 1075 ft²
E) 8602 ft²
C) 4301 ft²
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Write the fraction as a decimal.34
A. 34.07 B. 34.007 C. 34.7 D. 34.0007
Find 
.5x + y = yln 5
A. 
B. 
C. 
D. 
Find the limit.
e-x2 - y2
A. e-8 B. e8 C. 1 D. 0
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 = 20x + 4yConstraints0 ? x ? 10 0 ? y ? 5 3x + 2y ? 6
A. maximum: 20; at (0, 5) B. maximum: 220; at (10, 5) C. maximum: 200; at (10, 0) D. maximum: 12; at (0, 3)