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An oil storage tank ruptures at time t = 0 and leaks oil at a rate of r(t) = 100e-0.01t liters per minute. How much oil leaks out during the first hour?
Compare parallelograms,rectangles, rhombi, squares, and trapezoids as they relate to sides, side length, angles, diagonals, and created triangles.
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
a gas blower can form 8 simple vases or 2 elaborate vases in an hour. In a work shift of no more than 8 hours, the worker must form at least 40 vases.
A rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
what could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
Suppose a retiree wants to buy an ordinary annuity that pays her $2,000 per month for 20 years. If the annuity earns interest at 3.5% interest compounded monthly, what is the present value of this annuity?
an open-top box is to be made by cutting small congruent squares from corners of a 30 x 30 sheet and bending it up to the sides. how large should the squares cut from the corners to make the box hold as much as possible?
Write an equation of a line parallel to y= 3x + 8 if the line intercepts the y axis at (0,3). Use the slope-intercept form.
Vanilla Box Company is going to make open-topped boxes out of 17 × 16-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way?
You have a choice of five appetizers, ten entrees, three beverages, and six desserts. How many possible complete dinners are possible?
Show how to construct a triangle given the length of one side, the distance from an adjacent vertex to the incenter and the radius of the incircle.
Mr and Mrs Samuel visited Florida and purchased 120 oranges. They gave 1/4 of them to relatives ate 1/12 of them in the hotel and gave 1/3 of them to friends. they shipped the rest home to Illonois.
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