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There are infinitely many stations on a train route. Suppose that the train stops at the first station and suppose that if the train stops at a station, then it stops at the next station. Show that the train stops at all stations.
If the perimeter fence costs $5 per yard and the fence down the middle costs $3 per yard, determine the dimensions of the corral so that the fencing cost will be as small as possible.
Suppose A is an m×n matrix and B is the n×m matrix obtained by rotating A ninety degrees clockwise on paper ( not exactly a standard mathematical transformation!). Do A and B have the same singular values? Prove that the answer is yes or give a co..
The amount of pollution varies directly with the population of a city. City A has a population of 6 60,000 people and produces 4 1 0,000 tons of pollution.
Research approaches to ensuring a hiring process that complies with legal requirements for an equitable workplace and design elements that includes your recommendations for:
By a line, a great circle on the sphere is referenced. Is it still true that two points determine a unique line? Is it still true that two distinct lines either meet in a single point or do not meet at all?
Important information about Sets and Probability, A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. Find the odds in favor of drawing the following.
A swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 4 ft at the south end to 5 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whole..
At a high school five-year reunion, half of the 168 graduates were women and 89 of the graduates had gone to college; 46 of those 89 were women.
Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-35 . If there is more than one x -intercept, separate them with commas.
The base of an aquarium with volume V = 325 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.
A rectangular field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the field's dimensions?
Explain in your own words when the elimination method for solving a system of equations is preferable to the substitution method.
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