Solve the problem.A 80-m-long, 8.9-mm-diameter rope hangs free from a ledge. The density of the rope is 55 g/m. How much work is needed to pull the entire rope to the ledge?

A. 176g J
B. 176,000g J
C. 4.4g J
D. 16g J


Answer: A

Mathematics

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Write the equation of a sine or cosine function that describes the path of the given curve.

A. y = 3 sin 
B. y = -3 cos 
C. y = -3 cos (3x)
D. y = -3 cos 

Mathematics

Provide an appropriate response.The article "Tobacco and Alcohol Use in G-Rated Children's Animated Films" investigated exposure to tobacco and alcohol use in all G-rated animated films released between 1937 and 1997 by five major film studios. The dot plot shows the total tobacco exposure time (in seconds) for one of the studios.Comment on the shape of the distribution.

A. The exposure times range from 0 to about 300 seconds. However most exposure times are between 0 and 75 or between 160 and 225 seconds with only one value larger than 225 seconds. There is an outlier of roughly 300 seconds. B. The exposure times range from 0 to about 550 seconds. However most exposure times are between 20 and 75 or between 160 and 225 seconds with only two values larger than 225 seconds. There is an outlier of roughly 550 seconds. C. The exposure times range from 10 to about 550 seconds. However most exposure times are between 10 and 75 or between 160 and 225 seconds with only two values larger than 225 seconds.. There is an outlier of roughly 550 seconds. D. The exposure times range from 0 to about 550 seconds. However most exposure times are between 0 and 75 or between 160 and 225 seconds with only two values larger than 225 seconds. There is an outlier of roughly 550 seconds.

Mathematics

Decide if the statement is true or false.-22 > -20

A. True B. False

Mathematics

Use the graph of f to sketch a graph of the inverse of f using a dashed curve.

A.

B.

C.

D.

Mathematics