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The sum of the squares of the ages of Sheri's three kids is 114. If the twin girls are three years younger than the boy, then what are their ages?
question 1. in a survey of children who saw three different shows at walt disney world the following information was
Suppose that a student has 500 vocabulary words to learn. If the student learns 15 words after 5 minutes (this means L(5)=15 for the function L(t) ) , the function L(t ) = 500(1- e-0.0061t ) approximates the number of words L that a student will le..
If G is a chordal graph, then the ideal (G)∨ has linear quotients ? [149] Prove that a bipartite graph G is Cohen-Macaulay if and only if ΔG is pure shellable ? Prove that no even cycle can be sequentially Cohen-Macaulay.
Let f(z)=u+iv be an analytic function, phi(u,v) any function with second order partial derivatives and g(u,v) any function with first order partial derivatives.
Finding the difference of the side lengths of a triangle - Find the smallest possible value of BC - AB?
the size of shoe a person needs varies linearly with the length of his or her foot.the smallest adult shoe size is size
Show that there can be at most one celebrity at any party and give an example of a party with no celebrities - There are two persons, X and Y. X says "At least one of us is a knave." What are X and Y?
A Norman window is one in which the window is constructed by capping a rectangular region with a semicircular region (see Figure 11). If the total perimeter of the window is to be 30 feet, find the dimensions that maximizes its area.
Joanne sells silk-screened t-shirts at a community festival. Her marginal cost to produce one t-shirt is $3.50. Her total cost to produce 60 t-shirts is $300, and she sells them for $7 each.
A cylindrical tank with a cross-sectional area of 100cm^2 is filled to a depth of 100 cm with water. At t=0, a drain in the bottom of the tank with an area of 10cm^2 is opened allowing water to flow out of the tank
Consider the following three vectors in R^3: Verify that {x_1, x_2, x_3} are orthogonal with the standard inner product in R^4
bounded above by a parabola and below by the arc of a circle find the equations for the parabola and circle
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