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Sailing to Miami. At point A the captain of a ship determined that the distance to Miami was 13 miles. If she sailed north to point B and then west to Miami, the distance would be 17 miles. If the distance from point A to point B is greater than the distance from point B to Miami, then how far is it from point A to point B?
A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covered the same distance, but took 4 hours. Find the crew's rowing rate in still water and the rate of the current.
If A and B are normal subgroups of G such that G/A and G/B are abelian, prove that G/(A intersect B) is abelian
The equation y = 1.13x + 7.85 represents the average monthly cost in dollars for cable television where x represents the number of years after 1980. Use this equation to answer the following questions.
Based on exponential growth function how long will it take the world population to reach exactly 7 billion? How about 10 billion? Based on the population how long before it will reach 400 million? and 500 million?
The area (A) of a double tennis court is 312 square yards. Its length is 2 yards longer than twice its width. Find the length (L) and the width (W) of the tennis court.
A sum of $1,000 was invested for 4 years, and the interest was compunded semiannually. If the sum amounted to $1,300.24 in the given time, what was the interest rate?
Explain in simple terms how solving linear equations is similar and different than solving linear inequalities. Cite and explain three examples.
Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear. What is y-intercept of the graph?
On a nationwide test taken by high school students, the mean score was 49 and the standard deviation was 11.The scores were normally distributed. Approximately how many of the students scored between 16 and 82.
what is the maximum product of two numers that add to 26? what numbers yeild to this product?
Find the component form of the velocity of the plane.
the number of coins that Josh spots when walking to work is a poisson rv with mean 6. Each coin is equally to be a penny, a nickel, a dime, or a quarter. Josh ignores the pennies but picks up the other coins.
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