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The monthly charge for a waste collection serive is $32 for 100 kg of waste and $48 for 180 kg of waste. Find a linear formula for the cost, C, of waste collection as a function of the number of kilograms of waste, w.
Let f and g be the functions given by f(x) = 1 + sin(2x) and g(x) = e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g.
In an election between two candidates, 470 votes were cast. If the winner received 320 more votes than the loser, how many votes did the loser receive?
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
Calculate the probability assuming a fair die is thrown twelve times.
examine the leading term and the far left and far right behavior of the graph 0n the function 3x^4-8x^2-9x+5
Suppose the walls cost twice as much per m2 as the ceiling, and suppose the floor (i.e.base) costs nothing. Find the dimensions of the building that would minimize the cost.
where t is the number of years since 2004. The population of Mexico in 2008 was 109,955,400. What percentage of the Mexican population used the Internet in 2008?
Compare and contrast the value of three separate, grand strategies for your organization. What questions must each grand strategy answer? Who in the organization does the strategy affect and how?
Each of the numbers 0 through 24 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even. Note: 0 is considered an even number.
the probability of a student passing math in the first year university is 75% and passing chemistry is 80%. Passing both is 95% thw what is the probability of a student passing math given that they pass chemistry?
Find the volume of the solid whose base is the region bounded by y=x^{6}, y=1, and the y-axis and whose cross-sections perpendicular to the y axis are equilateral triangles.
What is the velocity of a liquid in a pipe that has a flow rate of 5ft3/s and a diameter of 6 inches ? please show the steps in detail ?
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