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One end of a rope is attached to the top of a pole 100 ft high. If the rope is 150 ft long, what is the maximum distance along the ground from the base of the pole to where the other end can be attached? You may assume that the pole is perpendicular to the ground.
Important information about Elliptic boundary value problem (lap) means the Laplacian Vrr means the second derivative of V with respect to r
A representative is to be selected from each of 3 departments in a small college. There are 7 people in the first department, 5 in the second department, and 4 in the third department.
Write a linear-time Boolean function HEAP(T:BINARY_TREE) which returns TRUE is T is a heap, i.e., it is partially ordered. Assume that T is represented using pointers to left and right children.
Let G be k-critical graph with respect to vertex-arboricity (k>=3). Prove that for each vertex v of G, the graph G-v is not (k-1)-critical with respect to vertex-arboricity.
To pour a concrete sidewalk takes 2 hours of preparation nd 3 hours of finishing. To pour a concrete patio takes 4 hours of preparation and 3 hours of finishing. ABC Concrete Company makes a profit of $450 on a sidewalks and $700 on a patio.
Complete the table to make this a valid probability distribution. b. What is the probability an applicant's GPA will be below 3.0?
Find the dimensions of the rectangle of the largest area that has its base on the x axis and its other two vertices above the x axis and lying on the parabola y=8-x^2.
The integers 1 through 25 are arranged in a 5 x 5 array (we use each number from 1 to 25 exactly once). All that matters is which numbers are in each column and how they are arranged in the columns.
The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,000 per day. FSF suppies hot dogs to local restaurants at a steady rate of 250 per day.
Build a three dimensional shape and prepare a set of questions to be presented to the class for problem solving. Questions should encourage students to cover the concepts of perimeter, volume, surface area, number of vertices, faces, and edges ass..
Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks: Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Suppose that each of the players has a defined strength (all different), and the strongest player wins each match. then is it clear that the first prize goes to the strongest of all the players. what is the probability that the second prize goes t..
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