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Which is bigger - the cube root of 24, or the fraction 10/3 ? Without using a calculator come up with at least two ways to explain which is the larger number that could be understood by a middle school student.
Mr. Rich invested $14,000, part at 8% and the rest at 6%. If the annual incomes from both investments were equal, find the amount he invested at each rate.
Prove directly that the eigenvalues of A are purely imaginary. Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0
Calculate aggregate expenditure in equilibrium where E=Y Calculate and interpret the individual and combined effects of changes to X0 and M0 such that X0 = 150 and M0 = 150 and all other variables remain unchanged. Also, calculate and interpret the v..
A rancher wants to use 200 feet of fencing to enclosed a rectangular are of 1600 square feet. What dimensions should the rectangle be?
A maintenance group aims to improve the effectiveness of its repair work. The group therefore monitors the number of maintenance requests that require a second visit to complete the repair. On any given week the maintenance group responds to 20..
What is the probability that the rat will turn left on the second trial?
Five schoolchildren are weighed in pairs. The readings (in kilograms) are: 58,60,61,64,64,65,67,68,70 and 71. Find the weights of individual children.
Dental services. The national cost C in billions of dollars for dental services can be modeled by the linear equation C 2.85n 30.52, where n is the number of years since 1990
The surface is defined by the equation x^2 - 2y^2 + z^2 +yz = 2. Write equations of the tangent plane and normal line to this surface at the point P(2, 1, -1)
At every subsequent stage, a ball is randomly selected from the urn whose color is the same as that of the ball previously selected and is then returned to that urn. In the long run, what proportion of the selected balls are red? What proportion a..
The polynomial 0.041h-0.018a-2.69 can be used to estiimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 40-year-old woman who is 160 centimeters tall.
Suppose that a student has 500 vocabulary words to learn. If the student learns 15 words after 5 minutes (this means L(5)=15 for the function L(t) ) , the function L(t ) = 500(1- e-0.0061t ) approximates the number of words L that a student will le..
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