The volume of air in the lungs during normal breathing is a sine function of time. The volume of air in a person’s lungs varies from 2.2L to 2.8L during normal breathing. Suppose a normal breath takes 4 seconds, and that t = 0 corresponds to the minimum volume. A. Draw a graph of V against t for 10 seconds, where V is the millilitres of air in the person’s lungs

B. Write an equation for the function.

C. Explain how the graph would change if the person breathes more rapidly.

*Worth 10 marks

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

Use the spider tool located on page 1 of this activity to draw a 12-pointed star for the new logo. (hint: if the spider rotates 360 degrees -- or 720 degrees or 1080 degrees -- she will be facing in the same direction in which she started. when the spider is done drawing, you want her to be facing in the same direction in which she started. she'll be making 12 rotations, all the same size, so each rotation must be some multiple of 360/12 = 30 degrees.) urgently. been stuck on this problem for around 45 minutes now.! it should be easy if you're smart enough