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Solve the given problems.
A conical filter is made from a circular piece of wire mesh of radius 24.0 cm by cutting out a sector with central angle θ and then taping the cut edges of the remaining piece together (see Fig. 27.55). What is the maximum possible volume the resulting filter can hold?
Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).
A school has 105 students, and seven classes. If each student takes three classes, and each class is taken by the same number of students, how many students are taking each class?
Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive where (x,y) R if and only if x = 1.
what record was broken. Give the formula for converting degrees Celsius to degrees Fahrenheit. Using the formula, show how to convert the measurement to degrees Fahrenheit.
Update the class on any concept the team had difficulty understanding and what the team did to help each member understand the concept. Include the team's discussion on the importance of the weekly concepts, and how they can be applied to each tea..
the new playground at middledale school will be enclosed by a fence the paly ground will be rectangular and will have an area of 225 yd squared the number of yd on each side will be a whole number what is the least amount of fencing that could be ..
This solution provides an analysis of how we evaluate personality theory over time, and how and why historical personality theories lend themselves to understanding people and events in modern times.
Also, the number of radio ads must be at least as great as the number of television ads. How many ads of each type should be used? How many people will this reach?
A Pyramid is 785 ft high (due to erosion, its current height is slightly less) and has a square base of side 3140 ft. Find the work needed to build the pyramid if the density of the stone is estimated at 180 lb/ft^3.
Print out the code itself and a graph of the solution of your code in [0; 10]. What is the maximum error of the numerical solution and the analytical solution in this interval?
Calculate the test statistic.
The shape of a hill is given by z = 1000 - 0.02x^2 - 0.01y^2. Assume that the x-axis ispointing East, and the y-axis is pointing North, and all distances are in metres.3 marks (a) What is the direction of the steepest ascent at the point (0, 100, 900..
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