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MATH 163 Final Exam

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Math 163 Show work for credit Name_______________________________ #1(8 pts) a) Solve for x if 2x − 5 ≤ 9 ( x − 2 ) ( x + 1) > 0 2 3 ( x + 4) ( x − 4) 3 b) Solve for x if #2(7 pts) Solve for x if 3 x 2 − 6 x − 24 = 0 3 x if x ≤ 1  #3(7 pts) Graph f(x) =    x-1 if x>1  #4(7 pts) Write equation of line thru (2, 5) and (0, 3) in #5(8 pts) f(x) = 2 x3 + x 2 − 18 x − 9 = 0 slope intercept form: a) List all possible Rational solutions b) What is the maximum number of zeros c) Find all zeros #6(8 pts) P(x) = 4 x ( x − 2 ) ( x + 1) List the zeros and multiplicity of P. 3 2 Graph the function P. #7(7 pts) Solve for x if x2-5x = - 1 #8(8 pts) g(x) = x 2 − x and p(x) = 2x – 1 find p(g(3))= Also find g(p(3))= #9 (8 pts) Find the inverse of f if f(x) = #10(8 pts) if h(x) = 3 2x −1 ( x − 3) 2 ( x + 1) ( x − 4) ( x − 2 ) ( x + 4 ) 2 2 A) Domain of h is B) x and y intercepts are C) List vertical followed by horizontal asymptotes D) Graph h #11(8 pts) Solve for x if 2 x +3 = 10 x −1 #12(8 pts) a) If g(x) = ( x − 3) + 4 then given the graph of f(x) = x 2 how do you create g 2 in words. b) If h(x) = − x3 + 6 then given the graph of f(x) = x3 how do you create h in words. #13(8 pts) Create graph of f(x) = ( x − 1) + 3 on interval [0, 9] then answer the 2 following : Range of f = Local maximum = Local minimum = On what interval is f increasing = Name: Description: ...
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Southern New Hampshire University Pre Calculus Two Discussion Questions

The height of the cylinder is 8 inches.We'll be analyzing the surface area of a round cylinder - in other words the amount ...

Southern New Hampshire University Pre Calculus Two Discussion Questions

The height of the cylinder is 8 inches.We'll be analyzing the surface area of a round cylinder - in other words the amount of material needed to "make a can".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=2πr2+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 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?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.r(A)=undefined Hints:To calculate an inverse function, you need to solve for r. Here you would start with A=2πr2+16πr. This equation is the same as 2πr2+16πr−A=0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula.If you want to type in 3π+1 in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is more information in the Introduction to Mobius unit. Part c: If the surface area is 225 square inches, then what is the rardius r? In other words, evaluate r(225). Round your answer to 2 decimal places.Hint: To compute a numeric square root such as 17.3−−−−√, you couldUse a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3)Use a browser to connect to the Internet and type in sqrt(17.3) into a search fieldUse a calculatorThe radius is inches if the surface area is 225 square inches.I will need a step-by- explanation plus the answers. Let me know if you need anything else.

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RSCH 8210 Walden University W2 Confidence Intervals Analysis

Assignment: Introduction to Quantitative Analysis: Confidence Intervals In your Week 2 Assignment, you displayed data based on a categorical variable and continuous variable from a specific dataset. In Week 3, you used the same variables as in Week 2 to perform a descriptive analysis of the data. For this Assignment, you will calculate a confidence interval in SPSS for one of the variables from your Week 2 and Week 3 Assignments. To prepare for this Assignment: Review the Learning Resources related to probability, sampling distributions, and confidence intervals. For additional support, review the Skill Builder: Confidence Intervals and the Skill Builder: Sampling Distributions, which you can find by navigating back to your Blackboard Course Home Page. From there, locate the Skill Builder link in the left navigation pane. Using the SPSS software, open the Afrobarometer dataset or the High School Longitudinal Study dataset (whichever you chose) from Week 2. Choose an appropriate variable from Weeks 2 and 3 and calculate a confidence interval in SPSS. Once you perform your confidence interval, review Chapter 5 and 11 of the Wagner text to understand how to copy and paste your output into your Word document. For this Assignment: Write a 2- to 3-paragraph analysis of your results and include a copy and paste of the appropriate visual display of the data into your document. If you are using the Afrobarometer Dataset, report the mean of Q1 (Age). If you are using the HS Long Survey Dataset, report the mean of X1SES. Based on the results of your data in this confidence interval Assignment, provide a brief explanation of what the implications for social change might be.

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Scenario:The owner of a small printing company is considering the purchase of additional printing equipment to expand her business. If the owner expands the business and sales are high, projected profits (minus the cost of the equipment) should be $90,000; if sales are low, projected profits should be $40,000. If the equipment is not purchased, projected profits should be $70,000 if sales are high and $50,000 if sales are low. Are there options other than the purchase of additional equipment that should be considered in making the decision to expand the business? If the owner is optimistic about the company’s future sales, should the company expand by purchasing the equipment? Is the owner’s optimism or pessimism about sales the only factor that may impact the company’s profits? The equipment to be purchased is known in the industry to have a useful life of five years. How might this impact the printing company? For additional details, please refer to the Scenario Analysis Guidelines and Rubric document in the Assignment Guidelines and Rubrics section of the course.Specifically, the following critical elements must be addressed:·Main Element·Integration and Application·Analysis·Critical ThinkingGuidelines for Submission: Your analysis of the scenario must be submitted as a 1-to 2- Page Microsoft Word document with double spacing and 12-point Times New Roman font.

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Southern New Hampshire University Pre Calculus Two Discussion Questions

The height of the cylinder is 8 inches.We'll be analyzing the surface area of a round cylinder - in other words the amount ...

Southern New Hampshire University Pre Calculus Two Discussion Questions

The height of the cylinder is 8 inches.We'll be analyzing the surface area of a round cylinder - in other words the amount of material needed to "make a can".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=2πr2+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 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?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.r(A)=undefined Hints:To calculate an inverse function, you need to solve for r. Here you would start with A=2πr2+16πr. This equation is the same as 2πr2+16πr−A=0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula.If you want to type in 3π+1 in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is more information in the Introduction to Mobius unit. Part c: If the surface area is 225 square inches, then what is the rardius r? In other words, evaluate r(225). Round your answer to 2 decimal places.Hint: To compute a numeric square root such as 17.3−−−−√, you couldUse a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3)Use a browser to connect to the Internet and type in sqrt(17.3) into a search fieldUse a calculatorThe radius is inches if the surface area is 225 square inches.I will need a step-by- explanation plus the answers. Let me know if you need anything else.

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Scenario Analysis, statistics homework help

Scenario:The owner of a small printing company is considering the purchase of additional printing equipment to expand he ...

Scenario Analysis, statistics homework help

Scenario:The owner of a small printing company is considering the purchase of additional printing equipment to expand her business. If the owner expands the business and sales are high, projected profits (minus the cost of the equipment) should be $90,000; if sales are low, projected profits should be $40,000. If the equipment is not purchased, projected profits should be $70,000 if sales are high and $50,000 if sales are low. Are there options other than the purchase of additional equipment that should be considered in making the decision to expand the business? If the owner is optimistic about the company’s future sales, should the company expand by purchasing the equipment? Is the owner’s optimism or pessimism about sales the only factor that may impact the company’s profits? The equipment to be purchased is known in the industry to have a useful life of five years. How might this impact the printing company? For additional details, please refer to the Scenario Analysis Guidelines and Rubric document in the Assignment Guidelines and Rubrics section of the course.Specifically, the following critical elements must be addressed:·Main Element·Integration and Application·Analysis·Critical ThinkingGuidelines for Submission: Your analysis of the scenario must be submitted as a 1-to 2- Page Microsoft Word document with double spacing and 12-point Times New Roman font.

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Choose two of the following three questions and post your answer:1. In your own words, what is one-way analysis of varian ...

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Gulf Real Estate Properties Inc. has some of its condominium selling locations found directly in the Gulf of Mexico and ot ...

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