Use front end rounding to estimate the sum or difference. Then find the exact answer to the problemSusan wants to make a curtain for a window. She bought 4.75 yards of material yesterday. When she looked at the pattern, she realized she needed 12 yards of material. How many more yards must Susan purchase?
A. Estimate: 5 yards; exact: 7.15 yards
B. Estimate: 5 yards; exact: 6.25 yards
C. Estimate: 6 yards; exact: 8.25 yards
D. Estimate: 5 yards; exact: 7.25 yards
Answer: D
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Rewrite as a terminating decimal.
A. 0.294 B. 0.364 C. 0.444 D. 0.344
Solve the problem.A baseball pitcher throws a baseball with an initial speed of 138 feet per second at an angle of 20° to the horizontal. The ball leaves the pitcher's hand at a height of 4 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 = 129.68t, y = -16t2 + 47.2t + 4 5.725 sec, 1.475 sec, 282.48 feet B. x = 129.68t, y = -16t2 + 47.2t + 4 2.863 sec, 1.475 sec, 3.985 feet C. x = 129.68t, y = -16t2 + 47.2t + 4 6.065 sec, 1.475 sec, 34.81 feet D. x = 129.68t, y = -16t2 + 47.2t + 4 3.032 sec, 1.475 sec, 38.81 feet
Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate-covered raisins, which usually sells for $3 per pound, and chocolate-covered macadamia nuts, which usually sells for $8 per pound. They have a barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per pound for the mixture?
A. 96 lb B. 78 lb C. 90 lb D. 84 lb
Solve the problem.Two forces, F1 of magnitude 35 newtons (N) and F2 of magnitude 55 newtons, act on an object at angles of and
(respectively) with the positive x-axis. Find the direction and magnitude of the resultant force; that is, find
Round the direction and magnitude to two decimal places.
What will be an ideal response?