Solve the problem.The strength S of a rectangular wooden beam is proportional to its width times the square of its depth. Find the dimensions of the strongest beam that can be cut from a  cylindrical log. (Round answers to the nearest tenth.)

A. w = 6.4 in.; d = 9.0 in.
B. w = 7.4 in.; d = 10.0 in.
C. w = 5.4 in.; d = 10.0 in.
D. w = 7.4 in.; d = 8.0 in.


Answer: A

Mathematics

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Solve the given differential equation. = 6x

A. y = sin-1 (3x2 + C) B. y = 3 sin-1 (3x2 + C) C. y = 3 sin (3x2 + C) D. y = sin (3x2 + C)

Mathematics

Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible. = 

A. x = 
B. x = 
C. x = 
D. x = 

Mathematics

Solve the problem, using 3.14 for ?. Round to nearest tenth unless instructed differently.A semicircular driveway has a diameter of 100 ft. How long is the driveway?

A. 314 ft B. 157 ft C. 155 ft D. 1666.7 ft

Mathematics

Solve the problem.On a 625 mile road trip, out to Yellowstone National Park Toby's average speed was x miles per hour. On his return trip, he averaged 15 miles per hour more than his trip to the park. The time that it took Toby to drive to the park can be represented by the rational expression , while the time it took Toby to return home can be represented by the rational expression . a. Write a simplified rational expression that describes the difference in the time it took Toby to drive to the park and the time it took him to return home. b. What was the difference in the

time it took Toby to drive to the park and the time it took him to return home if he averaged 63 miles per hour on his drive home? Round your answer to the nearest tenth .

A. a. ;
b. 1.3 hour(s)
B. a. ;
b. 3.1 hour(s)
C. a. ;
b. 3895.1 hour(s)
D. a. ;
b. 3.1 hour(s)

Mathematics