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Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 48 cups. But when you raise your price to $2 you only sell 27 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear. Show your work.
Find the probability that a randomly selected
there are four shapes in group a. all of the shapes have between 3 and 5 sides and are not regular. inside each shape there is one acute angle. what are the shapes?
Prove that the function f(x) = C (a constant function) is Reimann integrable over [a,b] and calculate its Reimann integral over [a,b]
Use polar coordinates to find the volume of the given solid.
How many different four-digit numbers can be formed from the digits 0 through 9 if the first digit must be even and cannot be zero?
Describe the solutions to the equation by just determining the discriminant and complete the square of the expression for f(x) to determine the vertex of the graph of f(x). Would this be a maximum or minimum on the graph?
You are the financial manager of a furniture company. It is your job to create supply and demand graphs that show the break-even point for the company.
Find the maximum value of the quadratic function. Make sure to show your work.
As we know, a set is just a collection of objects that are similar in some way, like a gaggle of geese, pride of lions, or an army of ants. To further classify our world, we can create subsets from a larger set. Let's consider the idea of a subset..
Suppose that V is a complex (i.e. F = C) inner-product space. Prove that if N, an element of L(V), is normal and nilpotent, then N = 0.
Question about Probability and combinations, There are 5 rotten plums in a crate of 25 plums. How many samples of 4 of the 25 plums contain
A cylinder is inscribed in a right circular cone of height 2 and radius (at the base) equal to 5.5. What are the dimensions of such a cylinder which has maximum volume?
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