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The angle of elevation of a balloon from an observer A is 30 degrees and from observer B, 45 degrees. If the distance between A and B is 800 + 800√3 meters, how high is the balloon?
Explain why an Abelianization fo G is unique up to isomorphism. Construct an Abelianization of G as follows: Let G' be the subgroup fo G generated by all commutators [x,y] = xyz^-1 y^-1, where x, y are real members of G.
A farmer wants to set aside a rectangular plot of land to contain 580 square meters. If the width is 19 less than the length, find the dimensions of the plot.
A certain population has a mean of 488 and a standard deviation of 31. Many samples of size 51 are randomly selected and the means calculated.
A rectangular carpet has a perimeter of 218 inches. The length of the carpet is 87 inches more than the width. What are the dimensions of the carpet?
a roadside picnic area is located at the 1453 km marker of a highway . the next picnic area is at the 1615 km marker . Calculate the distance between the two areas.
Define a Fourier Transform. What are its properties and application areas ? Describe its application in signal processing.
Use the Taylor Series for 1/(1-x) to find the Taylor Series of 1/(1+x) about x = 0 and its Interval of Convergence. Use the result of part (i) to find the Taylor Series of ln(1+x) about x = 0 and its Interval of Convergence.
Chuck travels 117 miles in the same time that dana travels 105 miles. If chuck rate of travel is 4mph more than dana's, and they travel the same length of time, at what speed does chuck travel?
Suppose you have 3 nickels, 2 dimes, and 6 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
If the data produce an F statistic of F = 4.50, then which of the following is the correct decision for a two-tailed hypothesis test?
a semicircular plate 14 feet in diameter sticks straight down into fresh water with the diameter along the surface. Find the force of the water on side of the plate. The weight-density of water is 62.4 lb/ft^3.
A rectangular storage container with a lid is to have a volume of 16 m3. The length of its base is twice the width. Material for the base costs $8 per m2. Material for the sides and lid costs $16 per m2. Find the dimensions of the container which ..
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