Numerade

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5.5.1) For the complex numbers 3 + 4𝑖 and 1 − 𝑖, (a) find their positions in the complex plane. (b) find their sum and product. (c) find their conjugates and their absolute values.

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What reflex initiated during the backswing is critical in enhancing performance of a forehand drive in tennis? O tonic neck O righting O stretch Golgi tendon

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Shortest Job First (SJF) scheduling - compute the average waiting time and the average turnaround time for the SJF scheduling algorithm. Refer to Table 2 below for process information. Note that arrival times are not all zero. (3 marks) Process Arrival Time Burst Time Priority P1 0 3 3 P2 2 3 3 P3 4 7 5 P4 5 6 8 P5 7 7 5 Table 2 - Process Information SJF Scheduling A. draw the Gantt chart to illustrate process scheduling for SJF B. calculate turnaround time per process and average turnaround time C. calculate wait time per process and average wait time

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If y is directly proportional to x and y is 12 when x is 10, what is y when x is 25?

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Determine the minimum pressure (ksi) generated by the minimum interference fit between the shaft and the pinion, given the data below: Material Properties: E(hub/ gear) = 29 MPsi, poisson's(hub/gear) = 0.3, Sy(hub/ gear) = 54 ksi E(shaft) = 29 MPsi poisson's(shaft) = 0.3, Sy(shaft) = 54 ksi Coefficient of friction between the shaft and the gear is 0.5. Hub/ gear Properties: Number of teeth on the pinion (Np, teeth) = 24 Diametral Pitch on the pinion (teeth/ inch) = 12 The length or gear thickness is (inch) = .5 inch (hint: use the data above to determine the diameter of the hub/ gear) Fit properties: The interference fit between the shaft and hub (i.e. gear) is a Force Drive fit (H7/u6). The maximum diameter of the hole is 3/8 inch. Use the type of fit (from table 7-9), max shaft diameter, and the basic hole system; to determine the all the necessary data.

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Gas exchange is to the respiratory system as absorption of nutrients is to the ______ system(s). digestive cardiovascular urinary lymphatic urinary and cardiovascular

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QUESTION 3: 20 marks SHOW ALL SUPPORTING CALCULATIONS FOR THIS PROBLEM. NO MARKS WILL BE AWARDED FOR ANSWERS TO THE PROBLEMS UNSUPPORTED BY CLEARLY SHOWN CALCULATIONS Denbury Hospitality Products, Inc. is a small-sized food product manufacturer based in the Rocky Mountain regions of the US Midwest. The company started operations in January 2005 and quickly gained a reputation for its highly popular designer cakes. The following information is taken from the company's budget for 2021: Sales: 5,100 units, $897,600 Variable costs: $714,000 Fixed costs: $139,600 Required: 1. Determine the break-even point in units and dollars for 2021. (4 marks) 2. What sales volume in dollars would be necessary to earn an after-tax net operating income of $80,800 if the income tax rate is 35 percent? (4 marks) 3. What sales volume in units would be necessary to earn a profit before tax equal to 20 percent of sales? (4 marks) 4. What effect would an increase of 16 percent in the selling price per unit have on the break-even point? (4 marks) 5. Compute a) the degree of operating leverage, and b) the margin of safety in both dollar and percentage terms. (4 marks)

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Krane Products Inc. is a manufacturer of ski equipment. The company has been in operation since 2012. Ms. Andrews is a credit analyst for an investment management company. She has been asked to analyze Krane Products as a possible purchase for the bond portfolio of one of her firm's accounts. At the time of the analysis, Krane Products Inc. was rated BB by S&P. The bonds of the company trade in the market with the same spread as other comparable BB bonds. Ms. Andrews collected financial data for Krane Products Inc. for the years 2015 and 2014 and computed several financial ratios. Information for selected ratios is given below: Ratios 2015 2014 EBIT interest coverage 35 28.3% EBITDA interest coverage 24.5% Free operating cash flow/total debt 19.2% 1.2% Pretax return on capital 24.4% 17.1% Operating income/sales 25.5% 19.5% Long-term debt/capitalization 55.0% 57.4% Total debt/capitalization 57.1% 59.5% Based on the first three quarters of fiscal year 2016, Ms. Andrews projected the following ratios for 2016: Ratios 2016 EBIT interest coverage 63 EBITDA interest coverage 41.5% Free operating cash flow/total debt 22.5% Pretax return on capital 24.2% Operating income/sales 25.12% Long-term debt/capitalization 40.5% Total debt/capitalization 45.2% Ms. Andrews obtained from S&P information about median ratios by credit rating. These ratios are reproduced as follows: AAA AA BBB EBIT interest coverage 14.0 10.0 6.3 EBITDA interest coverage 67.0 49.5 Free operating cash flow/total debt 21.6 2 17.4 Pretax return on capital 25.1 19.6 25.2 17.9 15 Operating income/sales Long-term debt/capitalization 21.4 29.3 33.3 40.8 Total debt/capitalization 31.8 37.0 BB H 68.8 71.4 58.5

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1) (20 points) The interface between air and an unknown medium is first illuminated from the air side with a parallel (//) polarized wave at an incidence angle of $\theta_1$. It is observed that total transmission occurs at $\theta_1 = 41.5^\circ$. Then, the same interface is illuminated from the second medium with incidence angle $\theta_2$, and total reflection is observed at $\theta_2 \ge 4.78^\circ$. Find the relative relative permittivity and relative permeability ($\epsilon_{r2}$ and $\mu_{r2}$) of the second medium.

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Consider the following bones: frontal bone, parietal bones, temporal bones, occipital bone, sphenoid bone, ethmoid bone. What structure do these bones form in life, and what important organ do they enclose and protect? What type of bone are these? 2. Corrected_text: What is the common name for the carpals? What is the common name for the tarsals? What shape are these bones? 3. Corrected_text: What do the big toe and the thumb have in common? (Hint: Compare to other toes and fingers.) 4. Corrected_text: Why are the bones of the pelvic girdle more massive than those of the pectoral girdle? 5. Corrected_text: What special motion of the foot is demonstrated by standing on tiptoes? On your heels? Hint: Both motions have "flexion" in the name. Why?

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kevin f.