First estimate the answer. Then add or subtract to find the exact answer. Write answer as a mixed number.

A. Estimate: 50; Exact: 49
B. Estimate: 49; Exact: 26
C. Estimate: 49; Exact: 48
D. Estimate: 48; Exact: 49


Answer: A

Mathematics

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Find the average value of the function over the given interval.f(x) = 2x + 12 on [-6, 6]

A. 144 B. 12 C. 24 D. 6

Mathematics

Multiply and write the answer in lowest terms. ? 

A.
B.
C.
D.

Mathematics

Solve the problem.A summer camp consists of several lodges, dining rooms and bath houses, represented by the vertices on the graph below. These buildings are linked by gravel pathways whose lengths in yards are also indicated on the graph. The gravel paths become very muddy when it rains, so the camp owners wish to pave certain paths so that it is possible to walk between any two buildings without having to walk on a gravel path. Use Kruskal's algorithm to determine which paths should be covered in order to minimize the total length of paved paths. Also, determine the minimum total length of pathways that must be paved.

What will be an ideal response?

Mathematics

Solve the problem.Ron throws a ball straight up with an initial speed of 70 feet per second from a height of 5 feet. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximum height? What is the maximum height of the ball?

A. x = 0, y = -16t2 + 70t + 5 4.445 sec, 2.188 sec, 81.563 feet B. x = 0, y = -16t2 + 70t + 5 8.605 sec, 2.188 sec, 597.255 feet C. x = 0, y = -16t2 + 70t + 5 8.891 sec, 2.188 sec, 76.563 feet D. x = 0, y = -16t2 + 70t + 5 4.302 sec, 2.188 sec, 5.025 feet

Mathematics