Solve the problem.Super Sally, a truly amazing individual, picks up a rock and throws it as hard as she can. The table below displays the relationship between the rock's horizontal distance, d (in feet) from Sally and the initial speed with which she throws. Assume that the horizontal distance travelled varies linearly with the speed with which the rock is thrown. Using a graphing utility, find the line of best fit, and estimate, rounded to two decimal places, the horizontal distance of the rock if the initial speed is 33 ft/sec.

A. 26.67 feet
B. 31.34 feet
C. 31.33 feet
D. 34.76 feet


Answer: B

Mathematics

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Perform the row operations on the matrix and write the resulting matrix. Replace R2 by R1 + R2

A.

B.

C.

D.

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Solve the linear programming problem.A vineyard produces two special wines, a white and a red. A bottle of the white wine requires 14 pounds of grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to the production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the red wine sells for $20.00. How many bottles of each type should the vineyard produce in order to maximize gross sales?

A. 76 bottles of white and 42 bottles of red B. 14 bottles of white and 132 bottles of red C. 42 bottles of white and 59 bottles of red D. 132 bottles of white and 14 bottles of red

Mathematics

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with  and  . log3 (x6 )+  log3(x6 ) -  log3 x

A. log3 (x26/9)
B. log3 (x7)
C.  log3 (x12)
D. log3 (x9/2)

Mathematics

Solve the problem.A ball is dropped from a height of 53 feet. On each bounce, it bounces to 72% of its previous height. How high does it get after the 4th bounce? (Round to the nearest hundredth, if necessary.)

A. 138.42 feet B. 189.29 feet C. 19.78 feet D. 14.24 feet

Mathematics