The opening course of the dog olympics involves the dogs running over a parabolic

ramp. the quadratic equation, r(x) = -0.05x2 +0.8x, models the ramp, where x is

the horizontal distance, in feet, of the ramp, and r(x) represents the height of the

ramp, in feet

according to the model, what is the horizontal distance of the ramp? enter your

answer in the box below

feet

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Iwant to know what 3g+5h+4g-2h is my teacher is too selfish to tell us

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.