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MAT 140 Southern New Hampshire Restricting Domain A of the Cylinder Responses

MAT 140 Southern New Hampshire Restricting Domain A of the Cylinder Responses.

Below are two students discussion posts. Please provide a response for each student based on the discussion requirement below. I do not need the initial post, this is already completed, I just need the two responses. For your response posts, you must do the following:Comment on your classmates’ analyses and their answers. Compare and contrast your problem-solving approach to how your classmates solved the problem.Review the explanations given by your peers for their problem-solving strategies. Your comments may focus on the following:How did they describe steps to make their explanations clear?What additional details could they have included?What details did they include that you may not have?What changes would you make to your initial post?Reply to at least two different classmates outside of your own initial post thread.I have attached the initial post for you to use as reference.Student one:The height of the cylinder is 4 inches. A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r be the radius of the top of the can and let h be the height. The surface area of the cylinder, A, is A=2 πr2+2πrh (it’s two circles for the top and bottom plus a rolled up rectangle for the side). Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+8πr. What is the domain of A(r)? In other words, for which values of r is A(r) defined?The domain of A(r) should be restricted to all numbers greater than 0, due to the nature of a cylinder. It cannot be a negative number in order to prevent a negative value for height and length. So the domain of A(r) in interval notation is (0, infinity).Part b: Continue to assume that the height of your cylinder is 8inches. Write the radius r as a function of A. This is the inverse function to A(r), i.e to turn A as a function of r into. r as a function of A.To find the inverse of A(r), A(r)=2πr^2+8πr should be written as a=2πr2+8πr in order to solve for r. From here you can subtract a in order to get 0=2πr2+8πr-a. Using the quadratic formula you can solve for r. Quadratic Formula: x = (-b(+||-)sqrt(b^2-4ac))/2aOnce plugged in: r = (-8π(+||-)sqrt((8*π)^2-4(2π)(-a)))/2(2π)Simplified: r = (-8π(+||-)sqrt(64*π^2+8πa))/4πUnfortunately from here, the algebra gets a little hairy for me, and I am unable to get the correct answer in Mobius. What I did was I tried to simplify further coming up by doing this:r = -8π/4π (+||-) sqrt((64π^2)/(16π^2) + (8πa)/(16π^2))Simplifying to: r = -2 (+||-) sqrt(4 + (a/(2π))Leaving my final answer to r(A) = -2 + sqrt(4 + (a/(2π)) due to the restricted domain leaving positive numbers only. I would love it if anyone who was able to solve this could help me figure out what I am doing wrong in this step, as well as suggestions in the future for similar discussion boards. I do realize the format I am using is not intuitive to read, so I apologize and I will try to find a better way to show my work in the future. Part c: If the surface area is 225 square inches, then what is the radius r? In other words, evaluate r(300). Round your answer to 2 decimal places.If I use the equation I came up with, and plug in 300 for a then I believe it would look like this:r(300) = -2 + sqrt(4 + (300/(2π))Simplifying to r(300) = 5.19 (rounded to 2 decimal places)The radius is 5.19 inches if the surface area is 300 square inches.This is also incorrect, so again any suggestions to improve my understanding of the problem will be greatly appreciated! I feel like I’m either way off or I am missing one small thing. Thank you! Student two:Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+16πr. What is the domain of A(r)? In other words, for which values of r is A(r) defined? In interval notation, the values for A(r) that are defined are (0,infinity) because it does not make sense to have a negative radius or height so any value below zero would be not be defined and with a radius or height of 0 it would make the shape 2 dimensional so that would not make sense either. Therefore everything greater than 0 is defined.Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a function of A. This is the inverse function to A(r), i.e to turn A as a function of r into. r as a function of A. To solve this, I used the quadratic formula. To make it a quadratic equation first, I have to subtract both sides by A. So A=2(pi)r^2+2(pi)rh becomes 0=2(pi)r^2+2(pi)rh-A with h=8 inches making it 0=2(pi)r^2+16(pi)r-A. This makes a=2pi; b=16pi and c=A. Using these inputs and the quadratic formula that makes it r(A)=(-16pi+/-sqrt(((16pi)^2)-4(2pi)(-A)))/2(2pi). It doesn’t make sense to have a negative value for this as the domain is above 0 so you can rule out the “or -” and after simplifying that equation you getr(A)=(-16pi+sqrt(256(pi^2)+8piA))/4pi.To figure this last part out you just plug in 275 for A above and solve. so -16*pi=-50.265; 256*(pi^2)=2526.618; 8*pi*275=6911.503 and 4*pi=12.566. This makes the equation (-50.265+sqrt(2526.618+6911.503))/12.566. Then you add 2526.618+6911.503=9438.121, then you square root that which gives you an overall equation of (-50.265+97.150)/12.566 which =46.893/12.566=3.73 inches so r(275)=3.73inches meaning that for a 275 in^2 surface area you have a radius of 3.73 inches.
MAT 140 Southern New Hampshire Restricting Domain A of the Cylinder Responses

ACCT 614 Colorado Technical University Investment Planning Discussion.

Respond to the scenario below with your thoughts, ideas, and comments. Be substantive and clear, and use research to reinforce your ideas.Eddison Electronic Company (EEC) provides electricity for several states in the United States. You have been employed as a cost accountant at this organization. The Operations department is thinking about making a capital investment this current year. Prepare a memo to the VP of Accounting at EEC that answers the questions below based on the following criteria:EEC expects to save $500,000 per year for the next 10 years by purchasing the supplier.EEC’s cost of capital is 14%.EEC believes it can purchase the supplier for $2 million.In your memo to the VP of Accounting, answer the following questions:What are the advantageous and disadvantages to each investing method (NPV, IRR, or payback period)?Which of the methods (NPV, IRR, or payback period) should EEC use, and why?Would your answer be the same if EEC’s cost of capital were 25%? Why or why not?Would your answer be the same if EEC did not save $500,000 per year as anticipated?What would be the least amount of savings that would make this investment attractive to EEC?Based on your calculations, should EEC acquire the supplier? Why or why not?
ACCT 614 Colorado Technical University Investment Planning Discussion

This is an annotated outline, I have attached the MODULE 5 paper requirements which is what I need you

This is an annotated outline, I have attached the MODULE 5 paper requirements which is what I need you to do. I have also attached the previous Module 4 annotated bibliography of sources that have already been researched, which you can include. The third thing that I have attached is the MODULE 8 (final paper) requirements which you will need to refer to for making the outline. Below are any links that you may need. CSU Global Library link: https://csuglobal.libguides.com/library Politics in the Age of Digital Information overload (article that is asked to read in the Module 8 portfolio project) link: https://mediaethicsinitiative.org/2020/05/21/politics-in-the-age-of-digital-information-overload/ CSU Global Writing Center link: https://csuglobal.libguides.com/writingcenter/apa7_resources

American School of Business OSHA Employer Responsibilities & Workers Rights Paper

python assignment help American School of Business OSHA Employer Responsibilities & Workers Rights Paper.

You are to prepare a one page handout (front and back…or formatted/folded in some way as a booklet, etc.) on an employment law topic covered in the course (but NOT your group project topic). NOTE: Do Not choose a topic so broad that you cannot cover it adequately in a one page handout. This handout would be something to be given to your employees in the company for which you are an HR manager to educate the employees on that area of the law as it pertains to them as employees. The extra credit needs to be professional, accurate, and informative to meet the overall goal of protecting the company/employer from liability. This assignment is basically a smaller version of the group project assignment done individually to show you understand how to break down the legal information to inform employees and protect your company.
American School of Business OSHA Employer Responsibilities & Workers Rights Paper

Explain how you would promote diversity in the workplace?

Explain how you would promote diversity in the workplace?.

Diversity is common in today’s workplace. Address diversity issues by answering the following questions:Explain how you would promote diversity in the workplace?How would you encourage diversity education for your employees?Summarize how you would incorporate policy and procedures that address discrimination.List three benefits to embracing diversity in the workplace.Your paper should be 2-3 pages plus a title page and reference page. Follow APA format, according to CSU-Global Guide to Writing and APA Requirements. Include 2 outside academic sources to support your responses. Use outside sources other than the textbook, course materials, or other information provided as part of the course materials. The CSU-Global Library is a good place to find these references.
Explain how you would promote diversity in the workplace?

In this paper, I want you to define income. (Support your thesis statement with two of the following topics:

In this paper, I want you to define income. (Support your thesis statement with two of the following topics: Supply and Demand, Elasticity, Type of Industry or Market, Consumer Choice, Utility, Market Efficiency, Opportunity Costs, Specialization, Externalities, and Prices) and incorporate them into how you are going to earn or create income for yourself in the future. Using economic principles how are you going to create or earn income for yourself? 1) Introduce your topic and articulate why you are writing your paper 2) Your paper has a main point 3) The thesis statement is clear and coherent Conclusion with Summarize the main points, restate the thesis, articulate your conclusion

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