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A rectangle is formed from a square by adding 6 m to one side and 3 m to the other side. The area of the rectangle is 238 m squared. Find the dimensions of the original square.
the runners are running on circular tracks of which has a circumference of 1320 feet. the tracks are 100 feet apart and and the runners start opposite each other and move at the same constant rate of 880 ft/min. how fast are the runners separating..
Suppose C(x) = x^3-6X^2+15X where x represents thousands of units. Is there a production level that minimizes average cost? If so what it it?
Multiple choice question from Probability - The probability that he either passes mathematics or fails chemistry
By contracting an edge e = uv, we mean removing e and identifying the vertices u and v as a single new vertex. Let num_T(G) denote the number of spanning trees of the graph G.
In a group of 97 students, the number taking English is twice the number of those taking Math. 53 students are taking one of these subjects and 15 are taking neither. How many students are taking math? How many are taking English?
A spring with a 2 kg mass attached to it has spring constant 8 N/m and no damping. There is an external force given by F(t) = 24 sin 2t N, where t is time. The mass is initially stretched 2 m beyond the equilibrium position and released with an in..
Solve the following problem by simplex method
Which of the following can be solved by using a system of equations? Laura and Mark went to the movies and spent $29 on movie tickets and snacks. Mark paid $10 more than Laura. How much did each spend?
a cable 16m long runs from the top of a utility pole to a point on the ground 4m from the base of the pole. How tall us the utility pole, to the nearest tenth
What is the null hypothesis and alternative hypothesis
What type of growth pattern is represented here: 5x10^3, 1x10^4, 2x10^4, 4x10^4, 8x10^4?
The sides of a square increase in length at a rate of 2 meters / seconds. (a) At what rate is the area of the square changing when the sides are 10 meters long? (b) At what rate is the area of the square changing when the sides are 20 meters long?
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