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If a rock is thrown upward on the planet Mars with a velocity of 23 m/s, its height (in meters) after t seconds is given by H = 23t - 1.86t2. (Round all numbers to two decimal places.)
(a) Find the velocity of the rock after two seconds.1 m/s
(b) Find the velocity of the rock when t = a.2 m/s
(c) When will the rock hit the surface?t = 3 seconds
(d) With what velocity will the rock hit the surface?4 m/s
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have heights that are also approximately Normal, with mean height 69.3 inches and standard deviation 2.8 inches.
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.5 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall?
Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
A computer processes jobs on a first-come first-serve basis in a time-sharing environment. The jobs have Poisson arrival rates with an average of six minutes between arrivals.
It usually takes John 3 hours longer to do the monthly payroll than it takes Peter. They start working on it together at 9am and at 5pm, they have 85% of it done.
Suppose that a population model is the logistic model with harvesting term h, a constant, i.e.
What was the average gas mileage obtained by each car in a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50.
He collects data on 25 individuals' television viewing habits and finds that the mean number of hours that the 25 people spent watching television was 23.7 hours with a standard deviation of 7.5 hours, can we conclude at the 1% significance level ..
Find the missing dimension for this three-demensional figure to the nearest tenth, given the volume and other demensions.
Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.
Explain the characteristics of integer prgramming problems. Give specific instances in which you would use an integer programming model rather than an LP model. Provide real-world examples.
For what values of a does the following series converge?
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