A high-rise condominium building is 402 feet high. suppose that a ball is projected upward from the top and its position s in feet above the ground is given by the equation s equals negative 16 t squared plus 85 t plus 402, where t is the number of seconds elapsed. how long will it take for the ball to reach a height of 450 feet above the ground?

Gregory draws a scale drawing of his room. the scale that he uses is 1 cm : 4 ft. on his drawing, the room is 3 centimeters long. which equation can be used to find the actual length of gregory's room?

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)