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A company wishes to manufacture a box with a value of 28 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minumum amount of material. Round to the nearest tenth, if necessary.
an automobile radiator holds 26 liters of fluid. there is currently a mixture in the radiator that is 80% antifreeze and 20% water. how much of the liquid should be drained and replaced by pure antifreeze so that the resulting mixture is 90% antif..
Between 12:00 Pm and 1:00 PM, Cars arrive at Citibank's drive-thru at the rate of 6 cars per hour. (0.1 car per minute) The following formula from statistics can be used to determine that a car will arrive within t minutes of 12:00 PM.
Elena's daughter sold 69 boxes of Girl Scout cookies. She was told that this amount represented 20% of the troop's sale. How many boxes did the troop sell?
What is the missing term in the geometric sequence?
Why would you ever need to choose the more vague description rather than the most precise? Provide at least two examples when you would actually be forced to use a more vague description of the location of an object.
How were you able to find the 5th root of 32? If I asked you to find the 3rd root of 48, how you go about solving that? This is a follow up to the question you answered about What is a rational expression.
If A is nonsingular, show that the characteristic values of A^(-1) are the reciprocals of A, and that A and A^(-1) have the same characteristic vectors.
Find the equation of the circle that has its center at the focus of the parabola X^2 - 4x + 6y - 20 = 0 and that is tangent to the parabola at its vertex. Also sketch both curves.
Calculate the change in the odds of CHD in males for each additional time they exercise on average each week.
A particle is moving along the curve y=42x+5 . As the particle passes through the point (212), its x-coordinate increases at a rate of 4 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Find the Fourier Transform of f(x) = e^((-x^2)/(2a^2). note: complete the square in the x term in the exponent and make the change of variable; y=x+(*a^2)*i*b.
A tourist in France wants to visit 6 different cities. If the route is randomly selected, what is the probability that she will visit the cities
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