Perform the indicated operations and simplify.

What will be an ideal response?



Mathematics

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Provide an appropriate response.Formulate the dual problem for the linear programming problem:Minimize C = 3x1 + x2subject to

A. Maximize P = 3y1 + y2
subject to 
  
B. Maximize P = 60y1 + 40y2
subject to 
  
C.

Maximize   P = 60y1 + 40y2
subject to 

D.
Maximize P = 3y1 + y2
subject to 
  

Mathematics

Solve.By switching service providers, a family's telephone bill decreased from about $50 a month to about $43. What was the percent of decrease?

A. 14%
B. 16.3%
C.

7%

D. 15%

Mathematics

Solve the problem.The rectangular swimming pool in the figure shown measures 20 feet by 50 feet and contains a path of uniform width around the four edges. The perimeter of the rectangle formed by the pool and the surrounding path is 164 feet. Determine the width of the path.

A. 3 ft B. 6 ft C. 23.5 ft D. 9 ft

Mathematics

Evaluate the definite integral and interpret the result.

A. ; the shaded area above the x-axis minus the shaded area below the x-axis is equal to .
B. 3; the shaded area above the x-axis minus the shaded area below the x-axis is equal to 3.
C. ; the total shaded area is equal to .
D. 5; the total shaded area is equal to 5.

Mathematics