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.

Q: A rock is launched vertically upward from the ground with a speed of 96 ft>s. Neglecting air…

A: Given that s(t)= -16t2 + 96t. a) the average velocity of the rock between t = 1 s and t = 3 s is:

Q: use the two given function to write y as a function of x.  y=2m-5, m=x+5 / 2

A: We have, y = 2m-5m = x+52 To determine: The expression of y as a function of x.

Q: A rocket is fired from the ground at some angle and travels in a straight path. When the rocket has…

A:

Q: hose delivering 4.5 gallons per minute is used to fill an empty hot tub that has a

A: we will find the required.

Q: Suppose the supply per week for a product is 1254 units if the price per unit is $46 and 1518 units…

A: number of units/week supplied = 1254 price per unit $46 price per unit of 1518 units = 79$

Q: Determine whether the following equation defines y as a function of x. y=\sqrt(x+31) Does the…

A:

Q: Jordan is paying off a car loan. The function that models how much he has left to pay on his loan,…

A: Given the function, P(m)=6000-300m ,where m is the number of months

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: Determine whether the equation defines y as a function of x : x + y = 16

A: The given equation is x+y=16.

Q: What does it mean to plot A as a function of B. What will be on the y-axis and x-axis and why?

A:

Q: PQ2. Write a function that expresses the surface area S as a function of r and h, for any cylinder.

A: surface area S as a function of r and h, for any cylinder and volume V=44 cm3.