Afalcon flying at a height of 200 yards spots a sparrow flying at a height of 150 yards. the location of the sparrow makes an angle of 40 from the horizontal line through the falcons location. what is that distance x between the falcon and the sparrow? assume that the ground beneath the bird is level.

In which direction does the left side of the graph of this function point? a(x) = 3x - x2 + 4x - 2

If two parallel lines are cut by a transversal, interior angles on the same side of the transversal are supplementary. a. always b. sometimes c. never

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?