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?

99 points at a zoo, the leopard pen has a ring-shaped sidewalk around it. the outer edge of the sidewalk is a circle with a radius of 12 m. the inner edge of the sidewalk is a circle with a radius of 8 m. (1 point for showing all of your work) a. write and simplify an expression for the exact area of the sidewalk. (1 point for the answer) b. find the approximate area of the sidewalk. use 3.14 to approximate π. (1 point for the answer)

Super ultra mega important if you can answer this correctly i will give you 100 points but if you don't answer it correctly you'll get a big report. so stay aware and have a nice day!

Remmi wrote the equation of the line y=⅓(x+2) he solved for x and got x=3y-2 which of the following is an equivalent equation for x? a.x=y-11/3 b.x=y+7/3 c.x=3(y-⅔) d.x=3(y+⅔)