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A plane flies 540 miles for 2 hours in the direction of the wind. Then it turns around and flies 690 miles for 3 hours against the same wind. Find the speed of the plane in still air and the wind speed.
For each of the following vector spaces, give its dimension and a basis. The set of all symmetric 4 x 4 matrices,
Math: Linear Transformation of the Space of Polynomials, Which of the following is a linear transformation T of the space of polynomials? Circle the letters corresponding to correct answers.
A 180-lb man carries a 5-lb can of paint up a helical staircase that encircles a silo with radius 25 ft. If the silo is 80 ft high and the man makes exactly four complete revolutions, how much work is done by the man against gravity in climbing to..
A mountain is 14,72- feet above sea level, and a valley is 348 feet below sea level. What is the difference in elevation between the mountain and the valley?
a person traveled 120 miles in one direction. The return trip was accomplished at double the speed and took 3 hours less time. Find the speed going.
The dimensions of a closed rectangular box are measured as 89 cm, 53 cm, and 35 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
Comparing anova with more than two groups.
a newspaper prints 8762 papers each with 16 pages. a roll of newprint can be used to print 6150 pages. about how many
Among U.S. cities with a population of more than 250,000 the mean one-way commute to work is 24.3 minutes. The longest one-way travel time is New York City, where the mean time is 37.9 minutes.
Two trains leave stations 408 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet.
According to Car and Driver, an Alfa Romeo going 70 mph requires 177 feet to stop. Assuming that the stopping distance is proportional to the square of the velocity, find the stopping distance required by an Alfa Romeo going at 30 mph and at 140 m..
at the ACE security company, each ID badge has 3 letters which appear consecutively and alphabetically in order, followed by 3 digits from 1 through 7 with no repitition and in any order. How many different ID badges are possible?
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