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A mailbox is composed of a prism and a half cylinder. What is the approximate volume of the mailbox?
Points A and B move along the x- and y-axes, respectively, in such a way that the perpendicular distance r from the origin to AB remains constant. How fast is OA changing, and is it increasing or decreasing, when OB=2r and B is moving toward O at ..
Identify the meaning of independent and dependent events. Calculate probabilities and joint probabilities of simple events. Explain the basic logic of probability theory
Twenty rivets are used to fasten two steel plates together. The plates are 2.8 m long, and the rivets are equally spaced with a rivet at each end. Find the distance between the rivets. Round to the nearest tenth of a centimeter.
If Jane has a part-time teacher for her economics course, what is the probability that she is taking a night class?
Adding 4 fractions. The denominators are: 3a, 24b, 7a, and 25b. What is the LCD?
Find the derivative using logarithmic differentiation
Explain the four-steps for solving quadratic equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand? Please provide problems for the c..
Find the Type II error value.
The differential equation below models the temperature of a 86°C cup of coffee in a 16°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 70°C. Solve the differential equation to find an expression ..
a rancher has 200 feet of fencing available to enclose two adjacent retangular corrals. Each corral is to be the same size. What dimensions for each corral will maximize the area enclosed by the two corrals?
sketch the underlying curve and then indicate the trajectory direction and starting & ending points.
A field is in the form of a triangle pictured below. Angle A is 85± and angle B is 78±. The distance between B and C is 269 feet. Find, to the nearest foot, the distance between A and B.
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