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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.
A square plot of land has a building 70 ft long and 40 ft wide at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has area 11,600 ft2, what are the dimensions of the entire plot of land
If q is the number of quarts of lemonade ,than 1/4q can be used to find the number of cups of lemonade mix needed to make the lemonade. How muck mix is needed to make each amount of lemonade? 2 quarts, 8 quarts, 12 quarts, 18 quarts
factorize the given expression.find the perfect square of 1nbspa2nbsp 4a 42nbsp9x2y2nbsp- 6xy 1factorize and solve
Explain why the function f(x,y)=4x3-5y3 subject to the constraint 3x+2y=27 has no maxima or minima.
for the remaining 30% you choose randomly among the 5 answers. What percent of the answers should you expect to get right? learning about conditional probability and independence
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected. Find the probabilities that the sample contains the following
Find the exact value of each of the remaining trigonometry functions - Make a table of average velocities and approximate the velocity at which the rock strikes the water.
Four positive numbers, each less than 80, are rounded to the first decimal place and then multiplied together. Use differentials to estimate the maximum possible error in the computed product that might result from the rounding.
you collect $33000 after taxes and decide to invest it in two funds that return 4% and 2.25% for a total of 970 after the first year. How much did you invest in each?
Celcius is 343 m/s. However the air temperature is 35 degrees Celcius, so the speed of sound is not 343 m/s. Assume that air behaves like an ideal gas, and find the wavelength of the sound.
Write a linear equation to estimate the weight of a person of any height. Estimate the weight of a person that is 72 inches tall
how many subjects are in the study? how many subjects blood pressure increased from the first measurement to the
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