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eric hill

eric h.

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The coefficient matrix A is the sum of a nilpotent matrix and a multiple of the identity matrix. Use this fact to solve the given initial value problem. $$x' = \begin{bmatrix} 7 & 0 \\ 11 & 7 \end{bmatrix}x, x(0) = \begin{bmatrix} 5 \\ -10 \end{bmatrix}$$

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Question 10 Here are the data on the age of students that attend Norco College. Age 19 and under 20-24 25-29 30-34 35+ 5,910 5,500 2,155 1,120 1,908 What is the probability of a student's age between 20-24 years old? Round answer to 2 decimal places.

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What is the relationship between the added cost and the added revenue at this price?

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An experimental plot of ln(k) vs. 1/T is obtained in lab for a reaction. The slope of the best-fit line for the graph is -1875 K. What is the value of the activation energy for the reaction in kJ/mol?

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A partnership was formed on January 5 of the current year with the following capital balances: The Articles of Partnership stipulated that profits and losses are assigned as follows: Each partner is allocated interest equal to 10% of the beginning capital balance. Donald is allocated a $40,000 salary Any remaining profits/losses are allocated on a 2:3:5 basis, respectively. Each partner is allowed to withdraw up to $10,000 per year. Net income of $150,000 was earned by the business in the current year. Assuming that each partner withdraws the maximum amount, how much income is allocated to Donald in the current year?

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The standard cell potential (Ecell) for the voltaic cell based on the reaction below is ............V. Determine the free change and the equilibrium constant for the following reaction. Cr(s) + 3Fe3+(aq) ..... 3Fe2+(aq) + Cr3+(aq)

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High lymphocytes plus atypical lymphocytes suggest viral mononucleosis. Low lymphocytes suggest AIDS. Keep in mind that other WBCs will seem high when lymphocyte percentage is low. Now share your diagnosis with the other members of your table team. Put your heads together and answer all of the questions on the next page. Patient 1's diagnosis: Patient 2's diagnosis: Patient 3's diagnosis: Patient 4's diagnosis: Patient 5's diagnosis: The developed world has a lower incidence of parasites than the developing world. If your patient has a high percentage of eosinophils, what would be a good follow-up question to ask? The immune system usually increases lymphocytes when fighting viral infections. What are the consequences of low lymphocytes in an AIDS patient? Which one of patients 1-4 is most likely got infected during surgery? Explain your answer. What concern should you have if the patient with mononucleosis is a high scho football player?

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a. What is the probability that the sample mean will be between 4 and 6? To find the probability, we need to calculate the z-scores for the lower and upper limits of the sample mean range. The formula for calculating the z-score is: z = (x - μ) / (σ / √n) Where: - x is the sample mean - μ is the population mean - σ is the standard deviation - n is the sample size In this case, the population mean (μ) is $5, the standard deviation (σ) is $4, and the sample size (n) is 36. For the lower limit of 4: z_lower = (4 - 5) / (4 / √36) For the upper limit of 6: z_upper = (6 - 5) / (4 / √36) Once we have the z-scores, we can use a standard normal distribution table or a calculator to find the corresponding probabilities.

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III. A continuous time system is described by the state equations $\dot{x}_1 = x_2(t)$ $\dot{x}_2 = -2x_1(t) - 3x_2(t) + u(t)$ y(t) = x_2(t) Find the transfer function of the system. Find y(t) for a step input, with initial conditions equal to zero.

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Current Attempt in Progress Oriole Industries reported the following information for December: Beginning balance, Raw Materials Inventory $187600 Beginning balance, Work in Process Inventory 305000 Beginning balance, Finished Goods Inventory 106900 Manufacturing overhead applied 522450 Purchases of raw materials 337900 Factory electricity 62000 Direct labor payroll 196000 Depreciation on factory equipment 218800 Insurance on factory building 50500 Indirect materials used in production 43150 Total raw materials used in production 406100 Indirect labor payroll 148000 Cost of goods manufactured 1246000 Cost of Goods Sold 1312000 What was the total manufacturing cost for Oriole for December? $1124550 $1058400 $1081400 $1246000

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