An adult takes 400mg of ibuprofen. each hour, the amount of ibuprofen in the person's
system decreases by 29%. if 100mg of ibuprofen is left, how much time has passed? use
a = pert

4.048 hours

Step-by-step explanation:

A = Pe^(rt)

After 1 hour, the amount decreases by 29% (A = 0.71P), so r is:

0.71P = Pe^(r×1)

0.71 = e^r

r = ln(0.71)

r = -0.342

P = 400.  When A = 100, the time t is:

100 = 400e^(-0.342 t)

0.25 = e^(-0.342 t)

ln(0.25) = -0.342 t

t = -ln(0.25) / 0.342

t ≈ 4.048

Approximately 4.048 hours have passed.

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: