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nicole di-guez

nicole d.

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Permutation Rule The number of permutations of r objects selecting from n objects is denoted by $_nP_r$ and is given by the formula $$_nP_r = rac{n!}{(n-r)!}$$ 15 Example #32: Ten students each submit one essay for competition. In how many ways can the first, second, and third prizes be awarded? Combinations A selection of distinct objects without regard to order is called combination. Combination Rule The number of combinations of r objects selecting from n objects is denoted by $_nC_r$ and is given by the formula $$_nC_r = rac{n!}{(n-r)!r!}$$ Example # 33: A student has 7 books on his deck. In how many different ways can he select a set of 3? Example #34: a) In how many ways a committee of 4 be selected from a group of 10 people? b) In how many ways can a slate of officers consisting of a president, vice-president, and secretary be selected from a group of 10 people?

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16 mx-6y=10 2x-my=5-2 In the system of equations above, m and are constants. If the system has infinitely many solutions, what is the value of (m)/(n)?

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Drag each of the terms or statements in the proper category to identify whether the given label refers to an item or process that occurs prior to or after ovulation. Assume fertilization was successful. Primordial follicles First polar body formation Second meiotic division begins Mature follicle First meiotic division Second polar body formation Second meiotic division completion Corpus luteum Before Ovulation After Ovulation Primordial follicies First meiotic division Corpus luteum Second meiotic division completion First polar body formation Mature follicle Second polar body formation Second meiotic division begins

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8. Evaluate the integral by using trigonometric substitution \( \int \frac{2}{\sqrt{4x - x^2}} dx \)

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Homework: CH8 Homework Score: 0 of 20 pts P8-32 (similar to) 4 of 5 (0 complete) HW Score: 0%, 0 of 100 p Question Help You are trying to decide between two mobile phone carriers. Carrier A requires you to pay $210 for the phone and then monthly charges of $56 for 24 months. Carrier B wants you to pay $105 for the phone and monthly charges of $66 for 12 months. Assume you will keep replacing the phone after your contract expires. Your cost of capital is 3.8%. Based on cost alone, which carrier should you choose? Based on cost alone, you will choose (Select from the drop-down menu)

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2) When Kirchhoff laws and element constraints are applied to a particular RLC circuit, the following differential equation is obtained for the capacitor voltage.\\ $\frac{d^2v_c}{dt^2} + 6\frac{dv_c}{dt} + 5v_c = 0$\\ Determine the characteristic equation for this differential equation and show that the roots of the equation are -5 and -1. Does this correspond to an under-damped, over-damped, or critically-damped circuit? (5 pts)

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4 The Pump within the flow 100 gpm, the head is 100 ft and the power is 5 bhp Calculate: 1-The final flow capacity 2-The final head 3-The final power consumption When the pump speed is constant. The diameter is changed from 8 to 6 inches. (Non-anonymous question) (8 Points)

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4. q1 to be a positive source charge and q? to be the test charge. When q2 is changed from positive to negative, what happens to the potential energy of the two-charge system a. It increases. b. It decreases. c. It remains the same d. none 5. Two conducting wires A and B of the same length and radius are connected across the same potential difference. Conductor A has four times the resistivity of conductor B. What is the ratio of the power delivered to A to the power delivered to B? a. 2 b. ?2 c. 4 d. 1/?2 e. 1/2 f. none

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Case study MKT 268 Prestwick is a large multinational corporation that manufactures and sells furniture and kitchen and bath fixtures; it also has a group of 20 luxury resort destinations in France and Germany. Thanks to rapid expansion, Prestwick has been able to offer many benefits to its corporate headquarters employees, including a fitness center with a full-size gym. However, over the years, the size of the firm at corporate headquarters has grown tremendously (from 1,500 to over 2,500 employees), resulting in the fitness center becoming more and more crowded. On many days, employees can't get on a treadmill or find room to work out because of the large number of employees trying to use the facility. Currently Prestwick is managing the fitness center itself, staffing it with a small group of employees who oversee the operations there. Amanda Hightower is a salesperson for Bally Total Fitness Concepts. Bally works with firms like Prestwick and designs and outfits new and remodeled fitness centers. Amanda was called by Jerry Mays, an assistant in the HR department, who told her that Prestwick could really use a larger and more comprehensive facility. However, Jerry asked that his name not be used when Amanda called on the firm. Amanda made an appointment to meet with Barb Granroth, vice president of human resources for Prestwick, to discuss Prestwick's current fitness center and how Bally could improve it. Specifically, Amanda is planning to discuss creating a larger fitness center with new equipment. Amanda also intends to suggest that the larger and remodelled facility be managed and staffed by Bally personnel. Questions 1. List objections you think might occur during this first meeting with Barb. Make any assumptions necessary to develop this list. 2. Describe how you would respond to each objection listed in Question 1. Be sure to label the methods. Make any assumptions necessary to create your responses. Students should provide a minimum of 3 objections. This model can be used to solve the case study. Objections Examples Response Examples Methods with definition

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8. The following diagram illustrates the execution of routing algorithm X. X is known to suffer from problem Y. Mechanism Z was proposed to address problem Y; however, Z does not completely resolve problem Y. (a) Write down the full names of X, Y, and Z. (b) For the diagram below, name a possible link cost change that can lead to problem Y. Node x table cost to xyz 0 2 7 from x y z Node y table from cost to xyz 0 2 3 2 0 1 7 1 0 cost to xyz 0 2 3 2 0 1 3 1 0 cost to xyz 0 2 7 2 0 1 7 1 0 Node z table cost to xyz 0 2 7 2 0 1 7 1 0 cost to xyz 0 2 3 2 0 1 3 1 0 cost to xyz 0 2 3 2 0 1 3 1 0 Time

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