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A solid disk of radius R is composed of two different materials. For r < R=2, the material is one-third as dense as the remaining outer part with r > R=2. Calculate the moment of inertia about an axis through the center and perpendicular to the disk, expressed solely in terms of the total mass M and radius R.
How do you interpret the solution of a system of equations by the corresponding graph? Is there a basic difference between solving a system of equations by the algebraic method and the graphical method? Why?
Solving linear programming problem.
A rancher has 10,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture? Round to th..
A light bulb manufacturer knows that 0.08% of all bulbs manufactured are defective. A testing machine is 98% effective. If a randomly selected light bulb is tested and found to be defective, what is the probability that it actually is defective?
A surveyor standing 66 meters from the base of a building measures the angle to the top of the building and finds it to be 36°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 45°. How tall i..
A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise.
Suppose that g: Y-->R is a function which is differentiable at y_0. Then the function g o f: X-->R is differentiable at x_0, and (g o f)' (x_0) = g'(y_0)f '(x_0)
Amy paid $81.11 for a pair of shoes during a 40% off sale. What was the original price?
Explain in your own words how the principle of square roots is used to solve quadratic equations. What form must a quadratic equation be in to use the principle of square roots for solving? Demonstrate the process with your own example.
Assuming that the speaker and the cat fanciers met by traveling in opposite directions, what is the answer and how many kittens are being transported
Evaluate the function for the values of x given as 1,2,4,8,16. Describe the differences in the rate at which each function changes with the increasing values of x.
Use a diagram to list the sample space showing possible arrangements of heads and tails when four coins are tossed . Then use the sample space to find the probability that:
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