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The city mayor needs to determine the number of judges needed to handle the following judicial caseload:January 400 hours, February 300, March 200, April 600, May 800, June 300, July 200, August 400, September 300, October 200, November 100, December 300. Each judge works all 12 months and can handle at most 120 hours of casework per month. To avoid creating a backlog, all cases must be handled by the end of December. Formulate a linear program that can be used to determine how many udges the city needs.
Once you have the graph of a line, how can you find its slope? Does it matter which points you choose to find the slope? Does the slope vary depending on your choice of points?
Automorphisms and Conjugation, Show that if H is any group then there is a group G that contains H as a normal subgroup with the property that for every automorphism f of H there is an element g of G such that the conjugation by g
The board of a pharmaceutical company has nine members. One board member will be selected as vice president of marketing, and a different board member will be selected as vice president of research
A ski-run follows the curve of y=0.01x^2 - 0.6x + 9 from x=0 meters to x=30 meters. What is the angle between the ski-run and the horizontal where x=10?
The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and width?
Please solve the following system of equations using both of these methods (solve once using substitution and once using elimination):
If we graph this data with Total Cost on the Y axis (Vertical axis) and the Quantity Produced on the X axis (Horizontal axis) what do you think will be the shape of the line
A reconnaissance airplane leaves its airport on the east coast of the United States and flies in a direction 85 degree. Because of bad weather, it returns to another airport 230 km due north of its home base.
Got the 1st derivative to be Y'= 1/4 (1+1/x)^-3/4 * (-1x)^-2 Is that correct?
Explain and give examples for the following:- Equivalent sets vs. Equal sets-Cardinality of sets and how cardinality relates to the number of subsets of a set
A furniture manufacturer produces sofas, tables, and chairs. The profits per item are, respectively, $70, $120, and $80. The pieces of furniture require the following labor-hours for their manufacture.
A family made an investment for 1 year that earned $7.50 simple interest. If the principal had been $25 more and the interest rate 1% less, the interest would have been the same. Find the principal and the rate.
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