Assume running consumes 103 calories per mile. if you run 9-minute mile, what is your average output in watts, during a 1-hour run?

9 minutes ⇒ 1 mile
1 hour = 60 minutes
60 minutes ⇒ 60/9 mile = 6.667 miles

1 mile ⇒ 103 cal
6.667 miles ⇒ 6.667(103) cal = 686.667 cal

1 cal ⇒ 4.184 joules
686.667 cal ⇒ 2873.0133 joules

Watts = joules/time in seconds
60 minutes = 3600 seconds
W = 2873.0133/3600 ≈ 0.79805925 (round as needed)

Rational numbers and irrational numbers

Step-by-step explanation:

A subset A of a topological space X is called dense (in X) if every point x in X either belongs to A or is a limit point of A, in other words

Informally, for every point in X, the point is either in A or is "close" to a member of A.

The rational numbers are a dense subset of the real numbers because every real number either is a rational number or has a rational number arbitrarily close to it. This set of numbers is countable dense set.

The irrational numbers are a dense subset of the real numbers because every real number either is an irrational number or has an irrational number arbitrarily close to it. This set of numbers is uncountable dense set.