Question The track is highlighted in yellow for our analysis. From point 1 to point 2, the cars are being pulled upward at a constant low speed. From point 2 to point 3 the carts are rolling down the track under the influence of gravity. Assume friction is negligible. A PhET style energy graph (with 1 intentional mistake) appears below: How can the total energy be increasing from point 1 to point 2? Where is that energy coming from? How come the Total Energy is greater than the potential energy from point 1 to point 2? How come the Kinetic Energy is constant between points 1 and 2? How come the total energy stays constant between point 2 and 3? At what point in the graph do you notice there is a mistake? Look for something that is physically impossible, describe what you see and explain how you know that it is wrong. Please provide explanations for each question. 2 1 3 Energy Graph Position Time 4 x 10 3 x 10 Kinetic Potential Thermal Total O Energy (J) 2 x 10 1 x 10 0 1 2 3 Position (m)

Evaluate the magnitude of the net magnetic force on a current loop of /₁ = 4.5R, 1₂ = 8.7R, and r = 9.9R in an external magnetic field B = 8.7B, in terms of B, RI. Express your answer using two decimal places. Please note that a current of 21 runs on the wire. B1 21 4₁ Evaluate the magnitude of the net magnetic force on a current loop of /₁ = 4.5R, 1₂ = 8.7R, and r = 9.9R in an external magnetic field B = 8.7B, in terms of B, RI. Express your answer using two decimal places. Please note that a current of 21 runs on the wire. B1 21 4₁

Part 1: Use PowerPoint to create a WBS in chart form for a web development project of your choosing (or you may select another type of IT project you are familiar with). It should be similar to the chart in Figure 5-4 from the text. Select an activity in Level 2 and decompose it into a level 3. Then select an activity in Level 3 and decompose it into a set of Level 4 work packages. Remember, WBSs are used to define the total scope of a project so your Level 2 should reflect that. Part 2: Recreate the same WBS defined in Assignment 5 Part 1 using Microsoft Project, GanttProject, or Microsoft Excel, indenting categories appropriately. Number the items of the WBS appropriately following the same format illustrated in Figure 5-4. Software Product Release 5.0 Project Management Product Requirements Detail Design Construct Integration and Test Planning Software Software Software Software Meetings User Documentation User Documentation User Documentation User Documentation Administration Training Program Training Program Training Program Training Program Materials Materials Materials Materials The WBS is illustrative only. It is not intended to represent the full project scope of any specific project, nor to imply that this is the only way to organize a WBS on this type of project. Source: PMBOK® Guide - Sixth Edition. Project Management Institute, Inc. (2017). Copyright and all rights reserved. Material from this publication has been reproduced with permission of PMI. FIGURE 5-4 Sample intranet WBS organized by phase in chart and tabular form

please fill in the blanks. Module 6 Problem Set eBook Show Me How Dividends Per Share 1. BE.12.08.ALGO 2. BE.11.07 Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 80,000 shares of cumulative preferred 3% stock, $20 par and 410,000 shares of $25 par common. 3. BE.12.03.ALGO During its first four years of operations, the following amounts were distributed as dividends: first year, $33,000; second year, $72,000; third year, $90,000; fourth year, $100,000. 4. BE.12.01.ALGO Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00". 5. BE.12.07 1st Year 2nd Year 3rd Year 4th Year 6. EX.12.01.ALGO Preferred stock (dividends per share) 0.41 х х Х 7. BE.12.06.ALGO Common stock (dividends per share) 8. EX.11.01 Feedback

What evidence supports the conclusion that the SLC24A5 gene contributes to the production of melanin in humans in the same way it does in fish? Select all that apply. Hint: Review the section of the paper entitled “Conservation of golden gene structure and function in vertebrate evolution.” A)Injection of golden zebrafish larva with human SLC24A5 messenger RNA (mRNA) restores the fish’s ability to make melanin. B.)The slc24a5 protein produced by the gene in the zebrafish is 68 – 69% similar to the SLC24A5 protein in humans. C)At least 93% of East Asians share the same G allele of the SLC24A5 gene with Africans, yet East Asians are usually light skinned. D)The zebrafish slc24a5 gene and the human SLC24A5 gene are both expressed at high levels in skin and eyes.

(1 point) Determine the average rate of change of the following function between the given values of the variable: f(x) = x4 - - X; x = -2, x = 3 Average rate of change = .

Question Suppose three point masses are placed in the xy-plane as follows (assume coordinates are given in meters): mi = 5 kg, placed at (-2, -3) m2 = 3 kg, placed at (2,3) 'm3 = 2 kg, placed at (-3, -2) Find the center of mass of the system. Write your answer as an ordered pair Provide your answer below: