A balloon is sitting 600ft above a lake. A boat crew spots it and they look upwards at a 30 degree angle. After 25 seconds the crew shifts their view upwards of 75 degrees to see the balloon. What was the speed of the crew's boat?

The variable z is directly proportional to x, and inversely proportional to y. when x is 4 and y is 13, z has the value 1.2307692307692. what is the value of z when x= 9, and y= 20

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 4x^2 - 19x- 5