Solve the variation problem.The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 30 seconds with an average speed of 5 feet per second. Find the average speed of the swimmer if it takes 37.5 seconds to finish the race.

A. 3 feet per second
B. 5 feet per second
C. 6 feet per second
D. 4 feet per second


Answer: D

Mathematics

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Solve the problem.The four Galilean moons of Jupiter have orbital periods and mean distances from Jupiter given by the following table. Find the linear speed of each moon. Which is the fastest (in terms of linear speed)?

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Mathematics

Provide an appropriate response.A pediatric speech therapist started her own practice in 2004. The table below shows the number of children she treated each year from 2004 to 2012. The data is to be aligned to the number of years past 2000 and fitted with a linear model.Classify each of the following as discrete or continuous.i) The data in the tableii) A scatter plot made from the dataiii) The best-fit linear model obtained for the dataiv) The graph of the best-fit linear model obtained for the data

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Find an expression, in factored form, for the area of the shaded region. 

A. 4y(x + 2y) B. x(x + 2y) C. y4(x + 2y) D. 2(x + 6y)

Mathematics

Use the addition rule to solve the problem.A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 8?

A.
B.  
C.  
D. 9

Mathematics