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Question: A graph has six vertices, every two of which are joined by an edge. Each edge is colored red or white. Show that the graph contains at least two monochromatic triangles.
The base of an aquarium with volume V = 440 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
What should the dimentions be for maximum area.
The cost of two cups of coffee and a bagel is $1.76. The cost of four cups of coffee and three bagels is $4.25. What is the cost of a cup of coffee and the cost of a bagel?
For each of the following pairs of ordered bases B and B' for P(R), find the change of coordinate matrix that changes B'-coordinates into B-coordinates.
Solve the following equation
a farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts. What length and width should be used?
the base of a sloping wall and reaches 14 feet up the face of the wall what is the angle of inclination of the ladder ?of the wall?
College Algebra Question: How can factoring and LCMs help make solving rational equations simpler? Can you also provide an example.
Let H be the unbounded self-adjoint operator defined by -d^2/dx^2 (the negative of the second derivative with respect to x) on: D(H) ={f element of L^2 | Integral( |s^2 F f(s)|^2 )ds element of L^2}
Include each of the following categories in the spreadsheet: Property address, listing price, square footage, and number of bedrooms. Prepare a frequency distribution for listing prices, including relative frequencies.
Find the zeros of f in [- 1, 1] by solving the equation f(x) = 0.
Use these sample values to calculate a 90% confidence interval estimate of the average test score for these classes. Do this calculation by hand, showing the details of each step.
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