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A long straight fence having a pole every 8 feet is 1,440 feet long. How many fence poles are needed for the fence?
Four commuter trains and three express buses depart from City A to City B in the morning, and three commuter trains and three express buses operate on the return trip in the evening. In how many ways can a commuter from City A to City B complete a..
A population of animals oscillates sinusoidally between a low of 500 on Janary 1 and a high of 700 on July 1. Graph the population against time. Find a formula for the population P as a function of time, t, measured in months since the start of th..
Use the Lagrange interpolating polynomial of degree three or less and four-digit chopping arithmetic to approximate cos 0:75 using the following values. Find an error bound for the approximation.
Write computer code to determine the steady state temperature at the five co-ordinates in the rectangular region: (a/4,b/4), (3a/4,b/4), (a/4,3b/4), (3a/4,3b/4), (a/2,b/2) using the first 100 terms of the series solution (n = 1 to 100).
A certain cake recipe states that the cake should be baked in a pan 8 inches in diameter. If Jules wants to use the recipe to make a cake of the same depth but 12 inches in diameter
The actual weight of soap powder in a box has a normal distribution with a mean of 33 oz. and a standard deviation of 0.8 oz. What proportion of packets are underweight (i.e., weigh less than 32 oz.)?
Paola purchased an office building on January 5, 2009, for $450,000. $30,000 of the price was for the land. On September 25, 2011, he sold the office building. What is the cost recovery deduction for 2011 rounded to the nearest dollar?
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? Provide an example and a reference.
A cup of coffee at 173 degrees is poured into a mug and left in a room at 65 degrees. After 4 minutes, the coffee is 142 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) .
Probability of selecting a resident live in Alaska, According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The chart below summarizes the 2008 population for five U.S. States.
467 tickets were sold. students paid $2.00 each while non students paid $4.00 each. If a total of $1,196.00 was collected, how many students attended and how many non students attended?
Show that the limit of x(t) as x-> infinity is finite, i.e., the boat will travel a finite amount of distance after its motor quits. What is the maximum distance the boat will travel after its motor quits?
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