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A boat on the ocean is 6 miles from the nearest point on a straight line shore, call it P. At a distance of eight miles from P is a restaurant. Alex plans to get to the restaurant by swimming to a point X between the P and the restaurant and walk the remaining part. What is the distance from P to X which will minimize the time Alex will take to arrive at the restaurant if his swim rate is 2 miles per hour and his walk rate is 3 miles per hour? Be sure to justify the minimum claimed.
The different scenarios and their probabilities are An urn has 2 one dollar bills, one 5$ bill and one 10$ bill. A player draws one bill at a time with out replacing them until a ten dollar bill is drawn, then the game stops.
How many grams of oxygen are in 5.89×1023 formula units of (NH4)2SO4? Express your answer to three significant figures and include the appropriate units
The density, δ, of the cylinder x2 + y2 ≤ 25, 0 ≤ z ≤ 2 varies with the distance, r, from the z-axis: δ=2+r g/cm3. Find the mass of the cylinder, assuming x,y,z are in cm.
What is the probability of a 'head' in a single toss of this coin? If the coin is tossed and a 'head' results, what is the probability that p is 3/4?
According to an article in the Maclean's magazine, "Cable, satellite and wireless companies may be charging illegal late fees. Companies may calculate a compounded late-fee rate of two percent a month. However, because they charge even if a customer ..
Use mathematical induction to prove the statement is true for all positive integers, or show why it is false. 4·6 + 5·7 + 6·8 + ... + 4n(4n+2) = 4(4n+1)(8n+7)/6
According to an old myth, Native Americans sold the island of Manhattan about 400 years ago for $24. If they had invested this amount at an interest rate of 7 percent per year, how much would they have today?
question 1 the area of an isosceles trapezoid in 246 square meter. if the height and the length of one of its congruent
Probability and computing the odds. Compute the odds of each of the following events and rank them in order of decreasing likelihood.
An object is moving along the straight line as follows. It starts at x = 0 and then it moves to the right to x = 2. Then the object moves to the left to x = - 3
a thunderstorm produced 114 lightning strikes in 1 and 1/2 hours. what was the unit rate if lightning strikes?
A 13-foot ladder is leaning against a house when its base starts to slide away. By the time the base is 12 feet from the house, the base of the ladder is moving at the rate of 5 ft/sec.
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