It takes a total of 6 hours to fill up an inground backyard pool using a standard hose. a function can represent this situation to represent the amount of water in the pool until it is full as a function of the time the hose is running. determine the domain for this function.
a: the domain is all integers from 0 to 6 hours.
b: the domain is all even integers from 0 to 6 hours.
c: the domain is all real numbers from 0 to 6 hours.
d: the domain is all positive real numbers.

  c:  The domain is all real numbers from 0 to 6 hours.

Step-by-step explanation:

Time is measured continuously, not just at integer numbers of hours. The pool fill function has no utility for negative time, or time beyond that when the pool is full. An appropriate domain is real numbers [0, 6].

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!