Find the circumference of the circle. Use ? ? 3.14 and round to the nearest hundredth.radius = 81 cm

A. 508.68 cm
B. 20,601.54 cm
C. 254.34 cm
D. 127.17 cm


Answer: A

Mathematics

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Evaluate the integral.

A. j + k
B. - ?i + j + k
C. - ?i + j + k
D. i + j - k

Mathematics

Solve the problem.There are 12 more sophomores than juniors in an 8 AM algebra class. If there are 78 students in this class, find the number of sophomores and the number of juniors in the class.

A. 90 sophomores; 66 juniors B. 33 sophomores; 45 juniors C. 45 sophomores; 33 juniors D. 78 sophomores; 66 juniors

Mathematics

Provide an appropriate response.Use the big M method to find the optimal solution to the problem.Maximize P = 6x1 + 2x2subject to x1 + 2x2 ? 20  2x1 + x2 ? 16  x1  + x2 ? 9  x1, x2 ? 0

A. max P = 46 at x1 = 7 , x2 = 2 B. max P = 46 at x1 , x2 = 2 C. max P = - 46 at x1 = 2 , x2 = 7 D. max P = 46 at x1 = 2 , x2 = 7

Mathematics

Find all points where the function has any relative extrema or saddle points and identify the type of relative extremum.f(x,y) = x2 + 2y2 - xy2

A. Relative maximum at (0, 0) and saddle points at (2, 2) and (2, -2) B. Relative minimum at (0, 0) and saddle points at (2, 2) and (2, -2) C. Relative minimum at (0, 0) and relative maxima at (2, 2) and (2, -2) D. Saddle point at (0, 0) and relative minima at (2, 2) and (2, -2)

Mathematics