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Question: 1. Let A = (0, 4), B = (-1, -3), and C = (-5, 1). Draw triangle ABC and find each of its interior angles.
2. Find an equation of the plane passing through the three points (1, 1, 1), (1, 4, 5), (-3, -2, 0). Find the distance from the origin to the plane.
Calculate the probability of rolling dice and obtaining a 3 or a 5 consecutively three times?
Johnny is designing a rectangular to contain 20 in2 of printing with 5-in margin at the top and bottom and a 4-in margin at each side. What overall dimensions will minimize the amount of paper used
A worker on scaffolding 75 ft above the ground needs to lift a 450 lb bucket of cement from the ground to a point 20 feet above the ground by pulling on a rope weighing 5 lb/ft. How much work is required?
Sum of all possible outcomes must equal 1 Outcomes must be mutually exclusive Probability of each outcome must be between 0 and 1 inclusive
For tax purposes, a corporation assumes that one of its computers depreciates according to the equation V = 90,000 - 12,000t where V is the value (in dollars).
the gardeners at middleton place gardens want to plant a total of 45 white and pink hydrangeas in one flower bed. in
Suppose that bicycles sell for $200 each, and the firm is a price taker. Create a table showing the marginal cost, total cost, marginal revenue, total revenue.
To form an open box, squares of side 4cm are cut from each corner of a square piece of tin and then the sides of the tin are turned up. If the volume of the box is to be 400cm^3, what should be the area of the original piece of tin be?
What is the equation of the line through (1, 2) and (3, -1). What is the vertex of f(x) = x2 - 6x + 3. Using points, straight lines, and possibly the curve of a parabola, construct a piecewise function whose graph looks like a smiling face.
Write a two-page (double-spaced) paper in which you relate how Wal-Mart's IT systems support the three basic customer service attributes of availability, operational performance, and service reliability.
Use the simplex method to solve the linear programming problem. INVESTMENT ANALYSIS Jorge has decided to invest at most $100,000 in securities.
The flux capacitor (the equipment necessary for time travel) needs 85 grams of Plutonium to have enough power to travel through time. How long can Doc Brown store his Plutonium for to have enough to time travel.
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