The diagram below describes the ACTH regulation. Identify 

a patient takes a pill that holds 50 mg of medicine in it.The pill is metabolized or used up, at a rate of 55% every hour.

a.Calculate how much of the pill is left after one hour.

b.rounded to the nearest hundredth, how much of the pill has been used by the body after four hours.

c.if the patient does not take another pill, how much of the pill will the patient use after an infinite amount of time?(nearest hundredth)

Modern metal cans, like the one shown, are usually made of steel, and then covered with a thin layer of tin. 

A. Write an inequality representing the amount of sheet metal that can be used to make a can that is 10cm tall. 

B. Graph the inequality.

C. Explain how the graph can be used to determine the minimum amount of metal required for cans of various radii. 

Solve inequality x^2-15x+40 less than or equal to 10-4x. Use number line. 

Determine the first term of the arithmetic sequence in which the 16th term is 110 and the common difference is 7

Adrianne is playing soccer, and kicks the ball at the goal.  The ball follows the path of a quadratic function.  When she kicks the ball, she is 20 feet away from the goal, and the ball hits a maximum height of 10 feet when it is 5 feet away from the goal line.  If the net is 8 feet tall, does she make a goal (assuming the goalie does not stop the ball)? a. Draw a diagram of the situation, including known values. 

if r > 0 and s >0, then the solution to the inequality 3(x-r)² >s will cover more of the number line when 

a. r is increased

b. r is decreased

c. s is increased

d. s is decreased

Tactile acuity refers to the minimum separation required between two points for the brain to perceive them as two separate points. 

When comparing the tactile acuity of various body parts, what have you concluded about the number of receptors in the palm of your hand relative to the number of receptors on your shoulder?