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a horse trainer is purring up a fence for the horses she works with. the trainer has purchased enough wood to run,the trainer wants the length of the fence to be at least twice its width. which system of linear equilities describes the conditions in this problems?
A box with a square base and open top must have a volume of 500000 cm3. Find the dimensions of the box that minimize the amount of material used.
A bag contains 8 black balls and 6 white balls. Two balls are drawn out at random, one after the other without replacement. calculate the probabilities that The second ball is black
Please provide a step by step explanation about how to compute total number of ways in which 3 different colored bottles could be arranged in a line out ot a total of 9 bottles.
You are given a list of n names (all of the names are distinct) with instructions to put them in alphabetical order. How many comparisons are necessary to accomplish your task?
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
If n points are equally spaced on the circumference of a circle, what is the probability that three points chosen at random will form a right triangle?
Evaluate whether the given geometric series converge, hence determine the exact number or expression that the series converges to
a shipment of 150 television sets contains 3 defective units. Determine how many ways a vending company can buy three of these units and receive (a) no defective units, (b) all defective units and, (c) at least one good unit.
What percent of the cruises will have 1,970 passengers or more? What percent of the cruises will have 1,600 or fewer passengers? How many passengers are on the cruises with the fewest 25 percent of passengers?
Using the Library, web resources, and/or other materials, find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent.
At a particular University students must receive one of the following grades: A, B, C, D and F. What is the minimum number of students required in a course to ensure that at least 5 will receive the same grade?
Let R be the shaded region bounded by the graphs of y=sqaure root of x, and y=e to the power of -3x, and the vertical line x=1.
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