The fire department is setting off fireworks. They notice that the casing of the firework hít the
ground 78 seconds after the firework was launched. The firework exploded at a maximum height
of 760.5 meters.
Part A. Create a graph to represent the scenario. The graph should include at least the x- and y-
intercepts and the vertex. (A complete graph consists of axis labels and appropriate scales,
ordered pairs for each identified point, the function, and appropriate domain/range)
Part B. Write a function to model the scenario.
Part C. Create a table of values to represent the scenario. Be sure to include at least five values.
Values should include at least the x- and y-intercepts and the vertex
Part D. Identify how you see the x- and y-intercepts and vertex in the table, graph, and equation
(Hint: You may want to rewrite the equation in equivalent forms.)

If 20% of a number is 35, what is 50% of that number?

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)