If one number is chosen at random from the first 1000 positive integers, what is the probility that the number chosen is multiple of both 2 and 7?

An 18% discount on a watch saved a shopper $72. find the price of the watch before the discount

Consider the equation  y−2=3(x+2).which option correctly identifies the point and slope from the equation and also provides the graph that correctly represents the equation?

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?