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A ladder 14 ft long rests against a vertical wall. Let theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to theta when theta = pi/3
The height of one square pyramid is 36 m. A similar pyramid has a height of 18 m. The volume of the larger pyramid is 1600 m3. Determine each of the following.
How many units of each model should National make each month in order to maximize its monthly profits? What is the optimal profit?
Make the appropriate test statistics & the rejection of your test.
Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. Clinton College would like to offer an honors scholarship to students who score in the top 10 percent of this test. What is the minimum score that quali..
Determine the width of a river that flows due east if a surveyor finds that a tree on the opposite bank has a bearing of N 22°30' E from a certain point A and a bearing of N 15° W from another point B which is 400 feet downstream from A.
You purchased 300 shares of Deltona, Inc. stock for $44.90 a share. You have received a total of $630 in dividends and $14,040 in proceeds from selling the shares. What is your capital gains yield on this stock?
The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. If the ship uses 200 barrels of oil in traveling 500 miles at 28 miles per hour, determine how many barrels of oil are used..
write a function rule for the area of a rectangle whose length is 4 inches more than its width.
You believe the figure is no higher than 0.40. If you want the error of the confidence interval to be no greater than .03, how many cars should you randomly sample? Use a 90% level of confidence.
consider an election with 1025 voters. Suppose that at least 129 votes are needed to have the plurality of the votes. What is the number of candidates in the election?
Lucky Charms has one of six different watches for prizes inside their box of cereal. If you were to purchase 60 boxes, what are the chances that you will collect all six?
A baseball is hit from a height of 3 feet with an initial speed of 120 feet per second at an angle of 30 degrees above the horizon. Find the vector-valued function describing the position of the ball t seconds after it is hit.
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