Solve.Use the approximations ln 3 ? 1.099 and ln 4 ? 1.386 together with the properties of natural logarithms to calculate an approximation to ln 64.

A. 3.690
B. 2.772
C. 4.158
D. 2.663


Answer: C

Mathematics

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Factor.729 - y3

A. (729 - y)(1 + 9y + y2) B. (9 - y)(81 + 9y + y2) C. (9 + y)(81 - 9y + y2) D. (9 - y)(81 + y2)

Mathematics

Provide an appropriate response.Write the equivalent fraction and decimal for 75%.

A. 7; 75
B. ; 0.75
C. 75; 0.075
D. ; 7.5

Mathematics

Provide an appropriate response.Determine whether the statement below is true or false. If it is false, give an explanation. Given a canonical linear programming problem with an optimal solution, if the vector  is an extreme point of the feasible set, then  must be an optimal solution.

A. False.   may not be in the feasible set.
B. True
C. False. Some extreme point is an optimal solution but not every extreme point is an optimal solution.
D. False. Not every optimal solution is an extreme point.

Mathematics

Factor, if possible.49x2 + 25

A. (7x - 5)2 B. (7x + 5)(7x - 5) C. (7x + 5)2 D. Prime polynomial

Mathematics