Mathematics

1.Your grandmother is in the hospital. The dosages for some of the medications she receives are based on weight. For one medicine, you consult a resource that says the safe dose is 0.05 mg to 1 mg per kg. Your grandmother’s chart says the doctor has ordered 0.5 gram per dose.Has a mistake been made? Explain your answer, including your assumptions about your grandmother’s weight.2. When your grandmother gets out of the hospital she is so happy that she gives you some money. You decide to go to Vancouver where the exchange rate is 0.76 US dollars for every Canadian dollar (as of June 21, 2019). You have $1,000 US to take with you.a. What is the equivalent value in Canadian dollars? Round to the nearest dollar.b. Do you have enough money to stay a week in Vancouver? Why or why not? Give details of your estimated expenses.3.While in Canada you get sick and go to the emergency room of a local hospital. The doctor there diagnoses your illness and prescribes a dose of medicine that will cure you completely. The order is for 50 mg of the medicine. A nurse comes in with a liquid and you ask to see the bottle. The bottle says 100 mg of medicine per 15 ml of liquid.a. How many milliliters should the nurse give you?b. Would she need to bring that to you in a little cup, a glass, or a large bottle?5.After looking at your grocery list, you are concerned that you may not be able to afford the food you have chosen to provide enough protein for your diet. So, you decide to get the biggest bang for your buck by comparing the amount of protein for the price. In the table below, fill-in the column labeled Price per Gram of Protein. Write your answers in terms of dollars, rounded to four decimal places.Food ItemPriceServingsProtein Per Serving (in grams)Price Per Gram of ProteinPinto Beans$0.923.56Peanut Butter$5.48357Canned Chicken$1.18213Oat Cereal$3.842186. Using the table that you completed in the previous question, answer the following:a. Which item is the best purchase in terms of price per gram of protein?b. Were you surprised by any of your results? Explain your answer.4.The doctor says the reason you fell ill is that you have a protein deficiency. You need to determine how much protein you should consume daily and increase your consumption to the recommended amount. The recommended dietary allowance (RDA) of protein for adults is given by this graph:Graphically displays Recommended Daily Allowance Proteina. What is your weight, in kilograms? (if you are uncomfortable stating your weight, please state the weight of a hypothetical person instead).b. What is your recommended daily allowance for protein, expressed in grams per day?

IndM5240 Assignment 7: – Unit Four, Five & Six AssignmentsAnswer the following questions from your course text bookChapter 14: Effects of Inflation14.1, 14.2, 14.8, 14.14, 14.26, 14.28, 14.39Chapter 18: Sensitivity Analysis and Expected Value Decisions18.2, 18.19, 18.30Chapter 19: Variation and Decision Making under Risk19.1, 19.2,You will solve these twelve questions and show details of your calculation (draw diagrams if it helps). Use MS Words, Time New Roman/Arial font 12. Submit your answers by May, 2 2010, as shown in the schedule via Digital Drop Box (Assignment Seven – Your Name). Since the assignment is more of calculation, you can also do it hand-written in a very legible black ink, Scan and post to the Digital Drop Box.

You have been hired by the D. M. Pan National Real Estate Company to develop a model to predict median housing prices for homes sold in 2019. The CEO of D. M. Pan wants to use this information to help their real estate agents better determine the use of square footage as a benchmark for listing prices on homes. Your task is to provide a report predicting the median housing prices based square footage. To complete this task, use the provided real estate data set for all U.S. home sales as well as national descriptive statistics and graphs provided.DirectionsUsing the Project One Template located in the What to Submit section, generate a report including your tables and graphs to determine if the square footage of a house is a good indicator for what the listing price should be. Reference the National Statistics and Graphs document for national comparisons and the Real Estate County Data spreadsheet (both found in the Supporting Materials section) for your statistical analysis.Describe the report: Give a brief description of the purpose of your report.Define the question your report is trying to answerExplain when using linear regression is most appropriate.When using linear regression, what would you expect the scatterplot to look like?Explain the difference between response and predictor variables in a linear regression to justify the selection of variables.Data Collection

EXERCISE 1: Say the Domain of the following functions (20 points)a)b) y=EXERCISE 2: Calculate the following limits (20 points)EXERCISE 3: Calculate the first derivative of the following functions (20 points)a)b)c)d)EXERCISE 4: Find the following integrations (20 points)a.b.c.d.EXERCISE 5: (20 points)Draw and find the area generated by:- The functions , and g(x) = – 4x + 8- Between the points where they intercept.

MAT-130 Homework 3 Name:_________________________________ Due Friday, April 2, 2021, no later than 4:45 P.M. Decide whether each statement is true or false. (1 point each)1. If ¬(?? ? ??) is true, then the truth values of p and q must be both true.2. p ? q is equivalent to ¬ ?? ? ?? . Decide whether each is a statement or is not a statement. Note: a compound statement is still a statement. (1 point each) 3. 12 ? 24 ? 124. I command you to drive to Houston, Texas.Write a negation of the following without using a slash symbol. (1 point each)5. z > ?286. ?? ? 2 ? ?37Construct a truth table for the following compound statement. (4 points) Please show all columns, just as in the class notes. 7. ?? ? ¬?? ? ??

Remember to show all work and use correct notation to earn full credit.1.Solve the following quadratic equation for x: 2x 2 ? 5x + 7 = 02. Among all pairs of numbers whose difference is 28, find the pair whose product is minimum. What is the minimum product?3. (a) Solve the following quadratic equation for x: x 2 ? 7x + 10 = 0 (b) (4 points) Use your answer from part (a) to help solve the following quadratic inequality: x 2 ? 7x + 10 ? 0 • Sketch a graph of your solution on a horizontal number line. • Express your solution using interval notation.4. Solve the following radical equation for x: ? 17 ? x ? 3 = x Remember to check your solutions! If there are no solutions, state NO SOLUTIONS.5. Solve the following rational equation for x: 1 x ? 6 + x x ? 2 = 4 x 2 ? 8x + 12 Hint: Factor the quadratic denominator. Remember to check your solutions! If there are no solutions, state NO SOLUTIONS.

Think first of a network of roads for GPS mapping. Every road whether in a neighborhood or spanning states is included in possible paths. A dirt road is included in the overall network just like a major highway. Clearly, it is impossible to consider every possible path in every GPS mapping decision. If traveling from your house to the nearest grocery store, it is absurd to consider paths that go through another city 800 miles away. If driving from the Empire State building in New York City to the Golden Gate Bridge in San Francisco, a dirt road in Iowa might be close to on the way but doesn’t need to be considered as a path.The Internet is similar to that mesh of roads with connections ranging from local cable lines to submarine optical cables traversing thousands of kilometers. Just like with the roads, not all possible paths in the network need to be considered for every packet route.Consider methods to narrow down these paths for GPS mapping or mesh network routing. What strategies and processes might be applied to have a computer algorithmically do what a person glancing at a map does naturally?For this Discussion:Choose either the GPS map routing or the Internet routing. Describe an algorithm for quickly determining the best path to take within such a broad mesh. Provide an example to show how the algorithmic process would determine a specific route for an automobile or data packet.

Your population is thriving on your island. The data you have collected now needs to be displayed and further analyzed. Use the charts you created in the probability portion in weeks 1-3 for this part of the project. Always show your calculations or explain how you used technology. Take a picture of your calculator if you used that or submit your excel worksheet.1. a. Create a Scatter Plot using the total population for each of the years from the Probability Island. The horizontal axis should always represent time.b. Use linear regression or a trendline in Excel to find the equation of the best fit line.c. Find the Correlation Coefficient. Explain what this means for your data.d. Use the equation to predict the population in year 20.2. a. Use the first and last data points of the total population for each of the years from the Probability Island to find a linear equation to model the data.b. Graph the equation.c. Compare the slope of the Linear Regression Line of question 1 with the slope of this line. Provide an explanation of why they may similar or differ.d. Use the equation to predict the population in year 20.3. a. Assume that (0,150) represents the vertex of a quadratic equation. Find a quadratic equation using the tenth-year population as another point.b. Graph the equation.c. Use the equation to predict the population in year 20.4. Using the equation y = 2×2 -9x +4, explain and demonstrate how to find the x-intercepts, the y-intercept, the axis of symmetry, and the vertex of a quadratic equation.

Comparison of Cumulative Distribution Functions for cost associated with Contract A andContract Ba) What are the realistic maximum and minimum costs associated with each of the contracts?[4 marks]b) Which contract is associated with a higher probability of a cost less than £8 million? Whichcontract is associated with a higher probability of a cost greater than £11 million?[2 marks]c) If your decision was based on minimizing the expected value of the cost, which contractwould you choose? Does this agree with your assessment in Q5c, and if not, why not?

Payday LoansPayday loans are high-interest short-term loans, usually over a period of two weeks. One recurring political question is whether or not interest rates on such loans should be capped. Roughly speaking, those in favor of caps want to protect consumers from potentially harmful loans, while those against caps want to let the free market determine what the rate should be.1.) Watch the video and read the article below.Oliver, J. (2014). Predatory lending: Last week tonight with John Oliver. HBO.Retrieved from https://youtu.be/PDylgzybWAw(Note: the above video contains a high usage of profanity, please omit to view this video if you are offended by such language).Holland, J. (2016). Rapid City payday lender stops making loans due to new lower interest rates. Rapid City Journal.Retrieved from http://rapidcityjournal.com/news/local/rapid-city-payday-lender-stops-making-loans-due-to-new/article_0424e3da-5963-54f8-b5c3-60ba7797e743.html2.) Post a response of at least 150 words but not more than 350 words responding to the following.Do you think there should be interest rate caps on payday loans or not? Defend your answer.Determine the interest that would be charged on a two-week $300 payday loan if the interest rate is 520%, and the interest is compounded at the end of the two weeks. Explain how you came to your answer.Suppose a friend or family asked you how it could be possible that an annual interest rate is higher than 100%. Write out an explanation of what you might say to them.Be sure to give your answers in complete sentences.