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Answer each of the questions following the narrative below and show all work. Mrs.Carmichael keeps organic feed for her horses located in a cylinder in her barn. The cylinder is filled from the top and the feed is dispensed at the bottom. Mrs.Carmichael knows that the height of the cylinder is 7 feet 5 inches and that it has a diameter of 5 feet. Respond to each of the following items.
In a quadrilateral, each of the two angles has a measure of 37 degrees. Another angle has a measure of 118 degrees. What is the measure of the remaining angle?
In each case, construct a truth table and include a sentence justifying your answer. Your sentence should show that you understand the meaning of logical.
Find a recurrence relation for the number of steps needed to solve the Tower of Hanoi puzzle.
In a gas-fired boiler, water is being boiled at 120°C by hot air flowing through a 5-m-long, 5-cm-diameter tube submerged in water.
Find the measure of the exterior angle x where ∠x = ( 197 - 5n)°, ∠y = ( 5n + 21)°, ∠z = (n + 11)°
Graph triangle WXY on a separate piece of paper. How many lines of symmetry does Triangle WXY have?
Now after a few years, Terry retired and is in a 15% tax bracket. What is the minimum rate the taxable corporate bonds can pay for Terry to benefit by switching to them?
Suppose that Connecticut decided to increase its tax rates by 20% and add a filing fee of $100. Write a function for the new state income tax.
The Voyager 1 spacecraft launched in 1977 by NASA as reached the edge of the solar system. Traveling at the speed of light, 300,000 km/sec, it takes approximately 13 hours for the signal transmitted by the spacecraft to reach the Earth. How far is..
High temperature in Biloxi, Mississippi on July 21, denoted by the random variable X, has the following probability density function, where X is in degrees_ F.
Solve the logarithmic equations
Find the value of x, if any, at which f is not continuous. f(x) = 5x4 - 3x + 7; f(x) = 3√(x - 8); f(x) = (x + 2) / (x2 + 4) and f(x) = (2x + 1) / (4x2 + 4x + 5).
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