I hope this is clear this time.SolutionMoment of inertia is.pdf

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I hope this is clear this time. Solution Moment of inertia is nothing but second moment of area and is the indicator of flexural stiffness of the member. In given problem, Moment of Inertia (MI) = BD3/12-(bd3/12) = 10*113/12-(2*3.5*53/12) = 1109.16 -72.9 = 1036.2 in4. (about strong axis as the member is symmetrical about XX or strong axis. Now MI about weak axis, YY axis or vertical axis (11*103/12)-(5*73/12) = 916.67-142.91 = 773.75 in4 Hightlighted values are the answers for the MI of strong and weak, ie horizontal and vertical axis respectively..

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if f and g are surjective, then f o g is surjective. Solution Let me explain in a bit more detail : Let fog : A -> C fog is onto if, for every c in C, there exists as a in A such that fog(a) = c. But since f is onto, we have that f(b) = c for some b in B, and since g is onto, we have that b = g(x) for some x in A (I changed the letters to avoid confusion). So g(x) = b f(g(x)) = f(b) = c So this value of x exists, which is what we wanted to show. I hope this helps!.

if f and g are surjective, then f o g is surjective.SolutionL.pdf

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If one of the students knows one-half of the list at time t = 0 and the Solution (1) Which student has a faster rate of learning at t = 0 if they both start memorizing together having never seen the poem before? Beth (2) Which student has a faster rate of learning at t = 0 is they both start memorizing together having already learned one-half of the poem? Aly (3) Which student has a faster rate of learning at t = 0 is they both start memorizing together having already learned one-third of the poem? They have the same rate..

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How do these two groups compare in terms of variability in MATH scores? Explain. Solution the second group has more variation, but only SLIGHTLY.. the first group has a standard deviation of 14.538, where as the second group has a standard deviation of 14.782, therefore making it have more variability. the standard deviation is the best to use because it is not affected by outliers. the second group has also a more skewed distribution than the first group..

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Identify elements associated with the preparation of a programmable logic controller program. Before starting the development of a programmable logic controller program, there are a number of important steps which shall be taken into consideration e.g. selection of PLC based on input/output, etc...identify some other important steps and elements. Solution A programmable logic controller, PLC, or programmable controller is a digital computer used for automation of typically industrialelectromechanical processes, such as control of machinery on factory assembly lines, amusement rides, or light fixtures. PLCs are used in many machines, in many industries. PLCs are designed for multiple arrangements of digital and analog inputs and outputs, extended temperature ranges, immunity to electrical noise, and resistance to vibration and impact. Programs to control machine operation are typically stored in battery-backed-up or non-volatile memory. A PLC is an example of a \"hard\" real-time system since output results must be produced in response to input conditions within a limited time, otherwise unintended operation will result. Before the PLC, control, sequencing, and safety interlock logic for manufacturing automobiles was mainly composed of relays, cam timers,drum sequencers, and dedicated closed-loop controllers. Since these could number in the hundreds or even thousands, the process for updating such facilities for the yearly model change-over was very time consuming and expensive, as electricians needed to individually rewire the relays to change their operational characteristics. Digital computers, being general-purpose programmable devices, were soon applied to control of industrial processes. Early computers required specialist programmers, and stringent operating environmental control for temperature, cleanliness, and power quality. Using a general-purpose computer for process control required protecting the computer from the plant floor conditions. An industrial control computer would have several attributes: it would tolerate the shop-floor environment, it would support discrete (bit-form) input and output in an easily extensible manner, it would not require years of training to use, and it would permit its operation to be monitored. The response time of any computer system must be fast enough to be useful for control; the required speed varying according to the nature of the process.[1] Since many industrial processes have timescales easily addressed by millisecond response times, modern (fast, small, reliable) electronics greatly facilitate building reliable controllers, especially because performance can be traded off for reliability. In 1968 GM Hydra-Matic (the automatic transmission division of General Motors) issued a request for proposals for an electronic replacement for hard-wired relay systems based on a white paper written by engineer Edward R. Clark. The winning proposal came from Bedford Associates of Bedford, Massachusetts. T.

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I need to calcuate the vertical analysis? This is from the Financial & Managerial Text book Edition 12 Prepare a comparative balance sheet for 2014 and 2013, stating each asset as a percent of total assets and each liability and stockholders\' equity item as a percent of the total liabilities and stockholders\' equity. Peacock Company Comparative Balance Sheet December 31, 2014 and 2013 2014 Amount 2014 Percent 2013 Amount 2013 Percent Current assets $ 1,050,000 Correct 10 $ 750,000 Correct 12 Property, plant, and equipment 1,960,000 Correct 15 2,100,000 Correct 17 Intangible assets 490,000 Correct 20 150,000 Correct 22 Total assets $ 3,500,000 Correct 25 $ 3,000,000 Correct 27 Current liabilities $ 630,000 Correct 30 $ 420,000 Correct 32 Long-term liabilities 1,260,000 Correct 35 1,200,000 Correct 37 Common stock 350,000 Correct 40 300,000 Correct 42 Retained earnings 1,260,000 Correct 45 1,080,000 Correct 47 Total liabilities and stockholders\' equity $ 3,500,000 Correct 50 $ 3,000,000 Correct 52 Prepare a comparative balance sheet for 2014 and 2013, stating each asset as a percent of total assets and each liability and stockholders\' equity item as a percent of the total liabilities and stockholders\' equity. Peacock Company Comparative Balance Sheet December 31, 2014 and 2013 2014 Amount 2014 Percent 2013 Amount 2013 Percent Current assets $ 1,050,000% Correct 10 $ 750,000% Correct 12 Property, plant, and equipment 1,960,000% Correct 15 2,100,000% Correct 17 Intangible assets 490,000% Correct 20 150,000% Correct 22 Total assets $ 3,500,000% Correct 25 $ 3,000,000% Correct 27 Current liabilities $ 630,000% Correct 30 $ 420,000% Correct 32 Long-term liabilities 1,260,000% Correct 35 1,200,000% Correct 37 Common stock 350,000% Correct 40 300,000% Correct 42 Retained earnings 1,260,000% Correct 45 1,080,000% Correct 47 Total liabilities and stockholders\' equity $ 3,500,000% Correct 50 $ 3,000,000% Correct 52 Solution The analyzed table is as follows.20142013$%$%Current Assets10,50,00030.00%7,50,00025.00%Property, Plant & Equipment19,60,00056.00%21,00,00070.00%Intangible Assets4,90,00014.00%1,50,0005.00%TOTAL ASSETS35,00,000100.00%30,00,000100.00%Current Liabilities6,30,00018.00%4,20,00014.29%Long-Term Liabilities12,60,00036.00%12,00,00040.82%Common Stock3,50,00010.00%3,00,00010.20%Retained Earnings12,60,00036.00%10,20,00034.69%TOTAL LIABILITIES & EQUITY35,00,000100.00%29,40,000100.00%.

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I have a nephew Berkeley and niece Chelsea who, when very young, would occasionally visit their Uncle Ismor on weekends . Furthermore, i. Berkeley and Chelsea visited independently of one another. ii. Berkeley visited with probability 80%. iii. Chelsea visited with probability 75%. However, it often happened that some object in his house Solution My guess at the problem is what the probability of an accident occurring? It would equal Prob(both visiting)Prob(accident|both visited) + P(only Berkeley visiting)P(accident with Berkeley visiting) + P(Chelsea visiting)P(accident| only Chelsea visited) + P(neither visited)P(accident|neither visited) = due to independence .8*.75*.9 + .8*(1-.75)*.35+(1-.8)*.75*.2+(1-.8)*(1-.75)*.02 = .641.

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