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(1)Write an equation to represent the volume of an open box constructed by cutting congruent squares from the corners of a 24" by 14" piece of cardboard.
(2) What is the domain of this model?
Guy wires 80 feet long supporrt a 65-foot tall telephone pole. To the nearest degree, what angle will the wires make with the ground.
That is, the next 10 feet will cost $125, the next 10 feet will cost $150, etc. How much will it cost to build a 90- foot tower?
A farmer wishes to enclose a rectangular region with 455 meters of fencing in such a way that the length is 5 times the width and that the region is divided along its length into two equal parts. How many meters long and how many meters wide?
If t denotes the time in years after 1980, find a formula for N(t), the population in millions at time t. Assuming that this rapid growth rate continues, estimate the population and the rate of population growth in the year 2000.
A water storage tank has the shape of a cylinder with diameter 18 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 10 ft, what percentage of the total capacity is being used?
Which of the participants would you judge to be capable? Explain
23% of the seniors at a high school failed pre-calculus. If 1138 students failed pre-calculus, how many seniors are at this high school?
Jill's Company produces lawnmowers. It has fixed costs of $1000 per week and Variable costs of $70 per lawn mower.
an airplane is flying on a bearing of 310 degrees at 530mph. A wind is blowing at a bearing of 260 degrees at 85mph. what is the component form of the velocity of the airplane, of the wind? what is the actual ground speed and bearing of the plane?
Let (X, E, u) be a measure space with u a non-negative measure. Suppose that Prove that f (x) = 0 a.e. with respect to u.
At what rate is the base of the triangle changing when the altitude is 11.5 centimeters and the area is 86 square centimeters?
Convert the nonlinear, second order differential equation to the first order system and solve the differential equation
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