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The kinetic energy K of a moving object is jointly proportional to its mass m and the square of its velocity v. Suppose that an object weighing 30 pounds is moving with a velocity of 60 ft per second has a kinetic energy of 500 foot- pounds.
find a formula for K in terms of m and v.
Calculate the per capita cost per police officer. Explain why increased population can result in increased per capita taxes, even though the per-capita cost per police officer declines with population.
A tennis court has a perimeter of 228 feet. The length of the tennis court is 42 feet longer than the width. Write a linear equation of the problem. What is the length and width of the court?
Find Probability -Length of Machine Produced Metal Strips. Length of metal strips produced by a machine are normally distributed with mean length of 150 cm
Eighty percent of all California drivers wear seat belts. If three drivers are pulled over, what is the probability that all would be wearing their seat belts? Write as a percent to the nearest tenth.
Identifying local maximum, local minimum.
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Use an example for discussion.
what is the difference between the sum of the two addends in problem 6 and the estimate of that sum?
off with an initial velocity of u (at km/hr) and accelerates at a steady rate (a = km/hr2) for a time of t hours. Using the ‘area under the curve' method, derive and explain the equation to calculate the distance travelled: Distance travelled, s =..
Construct a tree diagram to represent this situation. A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 3 or 7.
Computing the height of the building -If, at this point, he is 12 feet from the building, what is the height of the building? Draw a picture, show all work, and find the solution. Round to the nearest hundredths.
The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
Reduce the equation to one of the standard forms, classify the surface, and sketch it.
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