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The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What are the dimensions of the smaller rectangle?
A manufacturer estimates that if x units of a particular commodity are produced, the total cost will be C(x) dollars, where
Calculate and interpret the coefficient of determination
Standing at a crosswalk, you hear a frequency of 570 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 488 Hz. Determine the ambulance's speed from these observations.
A computer gives the approximate value .84776 to 5 digit accuracy for the sum of the series: (-1)^n/[n(lnn)^2], from n=2 to infinity. Find a specific partial sum which is guaranteed to give this number to 5 digit accuracy?
A large cube is 2 feet on each edge. How many cubes - one inch on each edge- will it take to fill the large cube? If the base of a triangle is increased by 20% and the altitude to that base is decreased by 40% then by what percent is the area chang..
two tracking stations are on the equator 162 miles apart. a weather ballon is located on a bearing of n 43 from the western station and on a bearing of n 22 e from the eastern station. how far is the ballon from the western station? Round to the n..
Bella requires $80,000 in four years to purchase a new home. What amount must be invested today in an investment that earns 6% interest, compounded annually.
Calculate the mean and standard deviation of the distribution for your example. Binomial and Poisson Distributions in Real Life
Seawater has density 1025 kg/m3 and flows in a velocity field v=yi+xj, where x ... where x, y, and z are measured in meters and the components of v in meters per second. Find the rate of the flow outward through the hemisphere x2+y2+z2=9, z >0
Eight parties have arrived and are waiting for tables at a restaurant but are seated in random order. What is the probability that the parties are seated in the order in which they arrived?
A rectangular poster has an area of 190 in. The height of the poster is 1 in less than twice its width. Find the dimensions of the poster.
For the objective function Z=31x1+35x2 which we seek to maximize, which point is the optimal solution?
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