Problem 1.

Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficient as time goes on. The following measurements, made at the start of each month, show the rate at which pollutants are escaping (in tons/month) in the gas:

Time (months)0123456Rate (tons/month)36915223038

A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month.

overestimate =

functionsequation editor tons

underestimate = functionsequation editor tons

B. Make an overestimate and an underestimate of the total quantity of pollutants that escape for the whole six months for which we have data.

overestimate =

functionsequation editor

underestimate = functionsequation editor

Note: You can earn partial credit on this problem.

Problem 2.

A population of cattle is increasing at a rate of 800+70????800+70t per year, where ????t is measured in years. By how much does the population increase between the 8th and the 13th years?

Total Increase =

functionsequation editor

Problem 3.

The following table gives the approximate amount of emissions, ????E, of nitrogen oxides in millions of metric tons per year in the US. Let ????t be the number of years since 1940 and ????=????(????)E=f(t).

194019501960197019801990????t01020304050????E7.48.912.618.62119.2

Estimate the integral: ∫500????(????)????????≈∫050f(t)dt≈

functionsequation editor

Note: Be sure that you know what the units of your answer are, and what its meaning is.

(Original data from the Statistical Abstract of the US, 1992)

Problem 4.

Estimate the area under the graph of ????(????)=????2+4????f(x)=x2+4x from ????=3x=3 to ????=9x=9 using the areas of 33 rectangles of equal width, with heights of the rectangles determined by the height of the curve at

(a) left endpoints

ANSWER:

functionsequation editor

(b) right endpoints

ANSWER:

functionsequation editor

Note: You can earn partial credit on this problem.

SAVE and preview answers

Problem 5.

Without using a calculator evaluate the definite integral.

∫62(7????2−9????+8)????????=∫26(7×2−9x+8)dx=

functionsequation editor .

Problem 6

∫151????(????)????????−∫91????(????)????????=∫????????????(????)????????∫115f(x)dx−∫19f(x)dx=∫abf(x)dx

where ????=a=

functionsequation editor and ????=b= functionsequation editor .

Note: You can earn partial credit on this problem.

# Category: Mathematics homework help

Laboratory Math Solutions – Assignment #4

1. You need to prepare 150mL of a 3.5% solution of NaCl and distilled water.

a. How much NaCl would you use?

b. How much water would you use?

2. How would you prepare 600mL of a 4% alcohol solution from a 20% alcohol solution?

3. If your procedure tells states to add 15g of BSA to 150mL of water to prepare the reagent. How much BSA would you need to prepare 650mL of the reagent.

4. You need to prepare a 5mg/dL NaCL solution. If you need 300mL of this solution, how much NaCl do you need to mix with 300mL of solvent?

5. If you use 4g of sucrose to make a 2.5% (mass/volume) solution. What is the volume of solution you made?

Name___________________________

____/5

Competency Task:

In the game of Tic Tac Toe, there are 8 distinct winning lines.

Investigate how many distinct winning lines there are in a game played on a 3 by 3 by 3 board, with 27 cells.

Note:

Please Include an estimation (prediction), reflection and an extension. Please view the example work for further reference. I have also attached the rubric cube.

Write a 4-6 page paper in which you discuss the value of ratio analysis in decision making for health care organizations. Complete the following in your paper:

o Discuss the meaning of ratio analysis in healthcare.

o Pick only one (1) ratio from EACH major group from the financial statements. (e.g. Current ratio,

ROE, Debt to equity, ALOS)

Major Groups: o

o Liquidity ratios (Current ratio, Days Cash-on-Hand, Quick Ratio)

o Profitability ratios (ROE, ROA, Total Margin, Operating Margin)

o Leverage/Capital Structure Ratios (Debt ratio, Equity ratio, Debt to Equity Ratio)

o Nonfinancial Ratios (Occupancy rate, payer mix, ALOS, Expense per discharge, FTE per bed, HMO penetration)

o Discuss one (1) ratio (from EACH major group) using the following criteria:

o What is the meaning of each ratio?

o Evaluate the meaning of the ratio related to the financial health of the health care organization. Show the calculations.

o Explain the factors that affect the results related to the financial health of the organization.

You can also utilize the sample Help4UHMO Organization financial statements (located under week 6) or a real-life health care organization to evaluate by researching their financial statements. Show relevant calculations.

Format your paper consistent with APA guidelines.

Provide a minimum of two (2) cited sources in your paper. Properly cite in APA format

Growth Models exercises 1, 3, 5, 7, 9, 11, and 14.

Video guides to help if you don’t fully understand: https://youtube.com/playlist?list=PL03BA12CC20F9113B

Directions on first two screenshots. Third screenshot is the context and beginning of the script. Last screenshot are the strategies you will identify in the script.

Assess the Joshua and Leah problem-solving strategies given below and respond to the following. What new information would complicate the answer in the initial post? What would change the dynamics of this problem?

Joshua post

For this week’s discussion, I decided to choose option 1, hanging lights around a window for a party, as I am doing something similar myself and working out the math I think would be beneficial. The first thing that I need to do is measure the windows that I would be hanging lights around, let’s say there are four windows of two different sizes. As the windows are squares I just need to find the perimeter that the lights will be hanging around so I just have to measure the length and width of each window to figure that out. The first size has a length of 4 feet and a height of 4.5 feet. Multiplying those together each window has a perimeter of 18 feet so we will already need at least 2 strands of lights. The next set of windows has a length of 1.75 feet and a height of 6 feet. We then do the same thing to find out that these windows have a perimeter of 10.5 feet. Adding all of these perimeters together we end up with 18+18+10.5+10.5= 57 feet. With just the perimeter in mind, it looks like I would want to only buy three strands of lights, however, as the windows are not directly next to each other I would want an extra strand overall so that each window will have a strand of lights around it. With this, I would want to buy 4 strands of lights (and maybe a fifth because I always worry that lights are going to go out).

Leah post

The problem I have chosen is the third option. I am updating my living room floor with a newer, more durable wood laminate. The cost is $1.50 per square foot. To find the cost of my new floor, I must find the area of my living room, in feet, and multiply the area by the price of each square foot, $1.50. To find the area of my living room, I must multiply the length by the width. If the length of my living room is 23 feet and the width of my living room is 24 feet, the area of the living room is 552 square feet. Then I multiply the area, 552 square feet, by $1.50 for each square foot, the price of my new wood laminate flooring will be $828.

11. Does each of these graphs have an Euler circuit? If so, find it.

12. Does each of these graphs have an Euler circuit? If so, find it.

13. Eulerize this graph using as few edge duplications as possible. Then, find an Euler circuit.

17. Does each of these graphs have at least one Hamiltonian circuit? If so, find one.

19. A company needs to deliver product to each of their 5 stores around the Dallas, TX area. Driving distances between the stores are shown below. Find a route for the driver to follow, returning to the distribution center in Fort Worth:

a. Using Nearest Neighbor starting in Fort Worth

b. Using Repeated Nearest Neighbor

c. Using Sorted Edges

21. When installing fiber optics, some companies will install a sonet ring; a full loop of cable connecting multiple locations. This is used so that if any part of the cable is damaged it does not interrupt service, since there is a second connection to the hub. A company has 5 buildings. Costs (in thousands of dollars) to lay cables between pairs of buildings are shown below. Find the circuit that will minimize cost:

a. Using Nearest Neighbor starting at building A

b. Using Repeated Nearest Neighbor

c. Using Sorted Edges

23. Find a minimum cost spanning tree for the graph you created in problem #3

Assignment Instructions

Gather and Analyze Data

You have been charged with creating a survey for your community! The community is interested in having you create a survey and present the results at the next town hall meeting.

In this project, students will:

Learn about quantitative variables.

Learn to analyze data for measures of central tendency (mean, median and mode)

Learn to create an effective presentation with real-world conclusions.

To complete this project you will:

Think of a problem within your community or workplace. The problem needs to be something others will have an interest in solving or will want to share reactions to.

Create a 10 question survey with quantitative variables (number) on a topic you are interested in. Think of questions where 0 is dislike there is a scale to 4- like. Another way to do this is using 0-never, 1 sometimes, 2 frequently, and 3 always.

Administer the survey to a minimum of 10 people.

Analyze your data for the mean, median, and mode of each questions.

Create a visual from this chapter: bar graph, box and whisker plot, histogram, stem and leaf plot. etc.

Compile the information into a slide presentation, of at least 5 slides, to present at the next town hall. The presentation should present: the mean, median, and mode of each question, the visual of the data, and conclusions based on the statistics you found in the survey.

Length/Formatting Instructions

Length2-2.5 pagesFont12 point , Calibri Font, no more than 1″ marginsProgram/File TypeSubmit in WordAttachmentsShould be pasted into the Word document if possible.Referencing systemAPA referencing system is necessary in assignments, especially material copied from the Internet.

For examples of correct citations, visit the following links:

http://owl.english.purdue.edu/owl/resource/560/01/

File Name

Assignment Instructions

Gather and Analyze Data

You have been charged with creating a survey for your community! The community is interested in having you create a survey and present the results at the next town hall meeting.

In this project, students will:

Learn about quantitative variables.

Learn to analyze data for measures of central tendency (mean, median and mode)

Learn to create an effective presentation with real-world conclusions.

To complete this project you will:

Think of a problem within your community or workplace. The problem needs to be something others will have an interest in solving or will want to share reactions to.

Create a 10 question survey with quantitative variables (number) on a topic you are interested in. Think of questions where 0 is dislike there is a scale to 4- like. Another way to do this is using 0-never, 1 sometimes, 2 frequently, and 3 always.

Administer the survey to a minimum of 10 people.

Analyze your data for the mean, median, and mode of each questions.

Create a visual from this chapter: bar graph, box and whisker plot, histogram, stem and leaf plot. etc.

Compile the information into a slide presentation, of at least 5 slides, to present at the next town hall. The presentation should present: the mean, median, and mode of each question, the visual of the data, and conclusions based on the statistics you found in the survey.

Length/Formatting Instructions

Length2-2.5 pagesFont12 point , Calibri Font, no more than 1″ marginsProgram/File TypeSubmit in WordAttachmentsShould be pasted into the Word document if possible.Referencing systemAPA referencing system is necessary in assignments, especially material copied from the Internet.

For examples of correct citations, visit the following links:

http://owl.english.purdue.edu/owl/resource/560/01/

File Name