The function fof(x) = 0.6 sin(2 pi over 5x) represents the velocity of air flow of normal breathing cycles, where x is measured and seconds. A cycle consists of inhaling, where air flow is positive, and exhaling where air flow is negative. The air flow is measure in liters per second. How long is one complete cycle and what will the airflow be in 150 seconds?

Step-by-step explanation:

f(x)=0.6sin(2πx/5)

f(x) > 0

=  0.6sin(2πx/5) > 0

=>   sin(2πx/5) > 0

=>   2πx/5 < arc sin (0)

2πx/5  = π

x = 2.5

At t = 150 sec

f(150)=0.6sin(2π150/5)

= 0.6sin(60π)

= 0

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared