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A person stands still while supported by their two feet on level ground. Their feet are separated horizontally by 80 cm. The ground exerts an upward force of 500 N their right foot and an upward force of 200 N on their left foot. Based on this information, which of the following statements about the location of the person's center of gravity must be true? (Be sure to note that this question refers to right and left directions from the perspective of the standing person, not from someone facing the standing person)

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Solve the following initial value problem.\ y'' + 25y = 3x; y(0) = 1, y'(0) = 5\ The solution is y(x) =

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2. Find the absolute extrema on ($-\infty$,$\infty$) for $f(x) = \frac{x}{6} - 4x^5 + 25x^4$ ** In order to receive full credit, your solution must include the appropriate derivatives **

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Question 1 The diagram below can be used to express the energetics of both the forward and reverse reactions for A + B \(\rightleftharpoons\) C + D. What do the energies labeled by X and Y represent? Potential Energy X Y Reaction progress OX = Reaction enthalpy, Y = Activation energy for the reverse reaction OX = Activation energy for the forward reaction, Y = Reaction enthalpy OX = Activation energy for the reverse reaction, Y = Reaction enthalpy OX = Reaction enthalpy, Y = Activation energy for the forward reaction

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M2M communication allows computers to monitor equipment on assembly lines. True False

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The following types of laws requires employers to maintain insurance that provides a wage and benefit replacement in the even an employee is injured during the scope of his or her employment. Workers Compensation Unemployment taxes OSHA Fair Labor Standard Act

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The adjusted trial balance for the year of Balsamo Corporation at July 31, 2021, follows. (Click the icon to view the adjusted trial balance.) Read the requirements. Requirement 1. Prepare Balsamo Corporation's 2021 single-step income statement, statement of retained earnings, and balance sheet Begin by preparing Balsamo's 2021 income statement. Balsamo Corporation Income Statement Year Ended July 31, 2021 Revenue: Service revenue Expenses: Depreciation expense Salary expense Rent expense Interest expense Insurance expense Supplies expense Income before tax Income tax expense Net income

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17. [-/2 Points] DETAILS HARMATHAP12 7.4.024. 0/30 Submissions Used MY NOTES ASK YOUR TEACHER One hundred thirty boys and 130 girls were asked if they had ever been frightened by a television program. Twenty of the boys and 90 of the girls said they had been frightened. One of these children is selected at random. (Enter your probabilities as fractions.) (a) What is the probability that he or she has been frightened? (b) What is the probability the child is a girl, given that he or she has been frightened? Need Help? Submit Answer 18. [-/2 Points] DETAILS HARMATHAP12 7.4.029. 0/30 Submissions Used MY NOTES ASK YOUR TEACHER In a Student Activity Participation Study (SAPS) survey, 30 engineering majors, 25 business majors, 20 science majors, 15 liberal arts majors, and 10 human development majors were selected. Thirteen of the engineering, 9 of the science, 6 of the human development, 11 of the business, and 7 of the liberal arts majors selected for the study were female. (Enter your probabilities as fractions.) (a) What is the probability of selecting a female if one person from this group is selected randomly? (b) What is the probability that a student selected randomly from this group is a science major, given that she is female? Need Help?

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For the state of plane stress shown below, determine the principal stresses, the maximum in-plane shear stress and the average normal stress; and show the stresses on properly oriented elements. 50 MPa 44 MPa 28 MPa

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QUESTION 48 The bond between the two monosaccharides is: HO CH\(_2\)OH OH O OH CH\(_2\)OH O OH OH alpha (4,1) glycosidic alpha (1,4) beta glycosidic beta (1,4) glycosidic alpha (1,4) glycosidic none of the above OH OH

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