The population density in a large city is related to the distance from the center of the city. It can be modeled by the function below: 5000x x² +36 D = where D is the population density, in people per square mile, and is the distance from the center of the city. For what distances(s) from the city's center is the population density 400 people per square mile? O 4.5 miles O 8 miles O 4.5 miles and 8 miles O The population density never reaches 400 people per square mile.

B a A b Note: Triangle may not be drawn to scale. Also, the letters "A" and "B" represent angles; the small letters "a", "b" and "c" represent lengths of the triangle sides. Suppose a = 132 and b = 85 and c = 157. Use the definition of the trig functions below (Tip: You might find it helpful to redraw the triangle, replacing the letters with the numbers given.) to find each correct fraction. sin(A) = cos(A) = tan(A) = sec(A) = %3D csc(A) = cot(A) =

Determine whether y is a function of x. y2 =6x

. Town MHF determines the amount of property tax (P) in hundreds of dollars as a function of thebuilding size (s) in 10 square meters.?(ℎ) = 5 √? − ³√3 + 5a. What property tax would you need to pay on an empty lot (no building)?b. Determine the average rate of property tax increase (per 10 square meters) for s = 2 to s = 5. c. What is the instantaneous rate of change of property tax for a building that is 100m²(s = 10)?