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Electrical wires suspended between two towers form a catenary modeled by the equation y= 20 cosh x/20 where x and y are measured in meters. The towers are 40 meters apart. Find the length of the suspended cable.
The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number? answer and explanation.
Find a vector function whose graph is the curve of intersection of the elliptical cylinder (1/9)x^2 + z^2 = 1 and the parabolic cylinder y = x^2.
Identify the definite integral that represents the volume of the solid formed by revolving the region bounded by y=x^3, y=1, and x=2 about the line y=10.
Compare the mean of the sample means with the population mean.
Flying with the wind a plane went 183 km/h. Flying into the wind the plane only went 141 km/h. Find the speed of the plane in still air and the speed of the wind.
What happens if the first shot is intentionally missed? What is the better strategy shooting the deadliest one or the weakest one?
If the sales effect for period 5 is $125 million and the carryover effect is 0.25, calculate the total sales impact for period 5.
Van Gogh's painting Starry Night measures 92 cm long by 73 cm high. You buy a poster that shows an enlargement of the painting. The poster measures 120 cm long by 100 cm high. Is the poster an accurate representation of the painting?Hint: Is the p..
two minor league baseball players got a total of 216 hits. Washington had 2 more hits than Sanchez. Find the number of hits for each player?
the perimeter of a playing field for a certain sport is 188 ft. the length is 46 ft longer than the width. find the dimensions.
thin plate has the shape of an isosceles triangle wide at the bottom and high. If the plate is submerged vertically in water with the top vertex below the surface and the bottom edge horizontal, find the total force against the (two sides of ) the..
U.S. Population The population of the United States by race in 2000 and the projected population by race for the year 2025 are given below (in thousands).
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