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Five hundred gallons of 89-octane gasoline is obtained by mixing 87-octane gasoline with 92-octane gasoline. I need help solving for a system of equations in which one equation represents the total amount of final mixture required and the other represents the amounts of 87- and 92-octane gasoline in the final mixture. Let x and y represent the numbers of gallons of 87- and 92-octane gasoline, respectively. (b) Use a graphing utility to graph the two equations in part (a) in the same viewing window. As the amount of 87-octane gasoline increases, how does the amount of 92-octane gasoline change? (c) How much of each type of gasoline is required to obtain the 500 gallons of 89-octane gasoline?
Solve the 2D wave equation of a rectangular vibrating membrane ∂2u/∂t2 = c2 (∂2u/∂x2 + ∂2u/∂y2), 0
A Norman window has the shape of a square with a semicircle mounted on it. Find the width of the window if the total area of the square and the semicircle is to be 200ft.
Christie is taking a multiple-choice test in which each question has four possible answers. She knows the answers to 40% of the questions and can narrow
Use the computer algebra system again to differentiate the result of part (a). Do not simplify.
A cylindrical drill with radius 2 is used to bore a hole throught the center of a sphere of radius 7. Find the volume of the ring shaped solid that remains using polar coordinates.
the charge to rent a car is 29.95 per day plus .08 per mile. write an expression that shows the cost of renting a car
Alex buys the chocolate-strawberry mousse cake for 12 dollars. Alex values choclate three times as much as he values strawberry. What is the value of the chocolate cake to Alex?
calculate the future value of an annuity with $500 payment per month invested at 5% compounded monthly after 12 years.
Zappos is an extensive user of ERP systems to enable its business processes and to coordinate activities among its many offices, healthcare facilities and research centers.
Using your answer to part (a), make a table of approximate y-values of points on the curve near x = 1, y = 2. Include x = 0.96, 0.98, 1, 1.02, 1.04.
Why would you ever need to choose the more vague description rather than the most precise? Provide at least two examples when you would actually be forced to use a more vague description of the location of an object.
Beaver's makes 3 products. Each requires work in a three different departments. What is the projected total profit and how much of each product should be produced?
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