The formula to calculate the gravitational force between two objects is F_g=\frac{GM_1M_2}{r^2},F g = r 2 GM 1 M 2 , where M_1M 1 and M_2M 2 are the masses of the objects, GG is the gravitational constant and rr is the distance between the objects. Solve for the positive value of rr in terms of F_g, F g , G, G, M_1M 1 and M_2.M 2 .

What is the shape of the height and weight distribution

Jan accidently ran 7 minutes longer than he was supposed to. write an expression for the total amount of time jan ran if she was supposed to run m minutes

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?