A population of cells doubles in 2 hours. There is an initial population of 120 cells a. Write an equation, P(t), that can be used to determine the population of cells at t hours. b. Use your equation to determine the population after 12 hours. c. Use your equation to determine the population after 210 minutes. d. State the domain and range for this situation.

Data comprises of the number of hours studied (x) and the exam grade (y) obtained for first 6 year students registered. The equation of best fit is given by: y= 67.071 + 4.535x. What is the correct interpretation of the equation?

When there is no wind, a runner is able to run 10 000 m at an average speed of x m/s. When he runs with a tailwind, his average speed increases by 0.05 m/s and it takes him 15 s less to run the 10 000 m. The equation shown below represents this relationship. 10 000 10 000 x+0.05 X = 15, x > 0 6. When there is no wind, find the runner's average speed, to the nearest hundredth of a metre per second.

The question has different steps. Please indicate each step's answer and draw a circle around the answer. If you write by hand, write clearly so that I can understand. Please answer the question, I appreciate you.

A paved road runs east through the desert into a town. A dunebuggy is located 5 miles west and 2 miles south of the town, in the desert. (A dunebuggy is sort of a car made to go on dirt.) The buggy can travel 30 mph in the desert, and 50 mph on the road. Find the route that gets it into town the fastest. In particular, in the picture below find the value of x that results in the fastest route for the dunebuggy. 5mi Road Town 2mi Route Buggy

The water level in a tank rises 4 feet every minute. Write an equation of change that describes the height H, in feet, of the water level at time t in minutes.a. dH/dt = 3b. dH/dt = 4c. dH/dt  = 5d. dH.dt = 6

Identify all the equations that represent a direct variation. 1500 = 2 y = 4x + 1 1000 = xy y = -0.5x 1 y = 5 y = x? +4 O y = 3x 3 y =

A famous chef performs an experiment to see if there is a relationship between baking temperatures of chicken and the time it takes to bake the chicken. These are his results 200°F five hours, 240° Fahrenheit, 4.6 hours 280°F, 4.3 hours 320°F Fahrenheit, 3.5 hours 360°F three hours 400°F 2.4 hours write the equation of best fit