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A simple pulley with the given radius used to lift heavy objects is positioned 10 feet above ground level. Given that the pulley rotates theta degrees, determine the height to which the object is lifted. a) r=4 in, theta=720 degrees b) r=2 ft, theta= 180 degrees.
A region is bounded by y=5-x, the x axis and the y axis. Find the volume of the solid generated when the bounded region is revolved about the line x=-2. Also graph the bounded region.
The bucket is filled with 38 lb of water and is pulled up at a rate of 5 ft/sec, but water leaks out of the bucket at a rate of 0.4 lb/sec. Find the work done in pulling the bucket to the top of the well.
cterial colony doubles every five hours. Can you find the hourly growth factor and hourly growth rate?
An office building worth 6 million dollars when it was completed in 2005 and is being depreciated linearly over 30 years. what is the rate of depreciation and what will be the book value in 2015?
size of u.s. states. the total surface area (in square miles) for each of six selected Eastern states is listed here. Which set is more variable?
Show that if @:R -> S is a ring homomorphism, then the ker(@) is an ideal of R and that @ is injective if.
If we are conducting a hypothesis test of a single proportion to determine if the proportion of late arrivals has increased: What is the value of the calculated test statistic?
The Springfield Kings (a professional basketball team), has won 12 of its last 20 games and is expected to continue winning at the same percentage rate
If the wages per hour are $10, $15, and $18 for low, medium, and high skilled, respectively, how many of each type should be hired to minimize total hourly wages?
Suppose also that 200 nonpregnant women take the test, and 184 of them test "negative" and the remaining 16 test "positive." What is the probability that a woman who tests positive is actually pregnant?
Let h(sub n) denote the number of ways to perfectly cover a 1 by n board with monominoes and dominoes in such a way that no two dominoes are consecutive.
Find the equation of the regression line. Graph the line . Determine the slope and y-intercept of the regression line.
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