Provide an appropriate response.The distance formula is distance = rate × time. A cyclist enters a 50 km race. If the cyclist travels at an average rate of 33.2 kph, write an equation and solve to find how long will it take him to cross the finish line. Round to the nearest tenth.

Fill in the blank(s) with the appropriate word(s).


1.5 hours

Mathematics

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Find and simplify the difference quotient  for the given function.f(x) = 8

A. 8
B. 0
C. 1
D. 1 + 

Mathematics

Determine if the infinite geometric series converges or diverges. If the series converges, find its sum.-10 - 5 -  - . . .

A. diverges
B. converges, 10
C. converges, - 
D. converges, - 20

Mathematics

Convert the radical expression to its rational exponent form and then simplify. Assume that all variables represent positive numbers. ? 

A. x10/20 B. x20/10 C. x7/9 D. x33/20

Mathematics

Solve the problem, rounding the answer as appropriate. Assume that "pure dominant" describes one who has two dominant genes for a given trait; "pure recessive" describes one who has two recessive genes for a given trait; and "hybrid" describes one who has one of each.Suppose a hybrid mates with a pure dominant. If they produce two offspring, what is the probability that neither is a hybrid?

A. 0.75 B. 0.125 C. 0.25 D. 0.50

Mathematics