Solve the problem, using 3.14 for ?. Round to nearest tenth unless instructed differently.A figure skater must trace a figure eight on the ice that consists of two perfect circles, each with a radius of 9 ft. How far does the skater go one time around the figure eight?

A. 28.3 ft
B. 56.5 ft
C. 26.3 ft
D. 113 ft


Answer: D

Mathematics

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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

Perform the indicated operations. Write the resulting polynomial in standard form.(-3x + 2y)(2x - 4y)

A. -6x2 + 16xy + 16y2 B. -6x2 + 12xy - 8y2 C. -6x2 + 16xy - 8y2 D. -6x2 + 4xy - 8y2

Mathematics

Find the general solution for the differential equation. + 2y = 13

A. =  + Ce2x
B. = 13 + Ce2x
C. =  + e2x + Ce-2x
D. =  + Ce-2x

Mathematics

Find the partial derivative.Let z = f(x, y) = x3 + 8x2y + 5xy3. Find .

A. 3x2 + 16xy + 5y3 B. 3x2 + 16x + 5 C. 3x2 + 16xy + 15xy2 D. 8x2 + 5xy2

Mathematics