Answer the following question accordingly. It shouldn’t take that long. Thanks in advance! 1. Consider a connected graph on 100 vertices with 99 edges. What's thesmallest number of colors you can use to color every vertex of the graphso that no two vertices that share an edge have the same color?

If there is a connected graph with n vertex and n-1 edges then graph must be a path P(n). Every…

Answered: . Consider a connected graph on 100…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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All changes saved 19. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Margaret earns $15.25 an hour working at a record store and is paid every week. She takes $50 from each paycheck and puts it in her savings account. She spends the remainder of her paycheck. Part A: Identify the variables y, m, x, and b in the given situation. Explain each variable. Part B: Write the linear equation that represents the given situation. Part C: Explain how the equation from Part B can be used in relation to the given situation.
Be sure that you show all of your work to reach your answer. Each step must be on a separate line. Your method to reach your answer must be clear and include explanations. Only round when you have reached a final answer. Do not round during the steps to reach the final answer. Use the longer number that your calculator gives you. Please write it down clearly Final answer: Round money to the nearest cents. Example $46.778 rounds to $46.78 As part of your retirement planning, you purchase an annuity that pays 3.5% annual interest compounded quarterly a. If you make quarterly payments of $ 600 how much will you have saved in 5 years? b. Instead, if you make quarterly payments of $300, how much will you have saved in 10 years?
Use the information in the below to answer questions 12-15. Rebecca's purchased a new android phone from Metro PCS. Her plan contains unlimited data and talk minutes for a flat fee of $60. Additionally the company charges 5 cents per gigabyte. 15. How much will Rebecca's cell phone bill for the month of April if she sends gets 135 gigabytes and talks for 400 minutes? A. $66.75 B. $73.25 C. $86.75 D. $127.50
Please complete the following. Please show work. Thank you!
Margaret owns a restaurant and she was keeping track of the total dollar sales for the weekend (Friday through Sunday). She knew that the average daily dollar sales for the restaurant was $2,425.42 and that the dollar sales were $2,978.17 on Friday, $1,599.56 on Saturday, but she forgot to write down the amount of dollar sales on Sunday. From this information, determine the dollar sales the restaurant had on Sunday. Round your answer to the nearest penny. Enter in just the number. Do not enter the dollar sign. For example: 932.23
Many gas stations give a discount for using cash instead of a credit card. A gas station gives a discount of 10 cents per gallon. William plans to pump 14 gallons. How much will William save by paying cash instead of credit card?
Clayton dies without a will leaving an estate of $350,000. Clayton's heirs consist of his wife and two children. His state requires that in the absence of a will , each child is to receive 2/3's as much as a spouse. How much will each of them receive? Answer from the back of the book: Wife = $150,000 each child: $100,000
FIND THE ANSWERS FOR B-2 and C. A survey found that Massachusetts residents spent an average of $861.75 on the lottery, more than three times the U.S. average. A researcher at a Boston think tank believes that Massachusetts residents spend less than this amount. He surveys 100 Massachusetts residents and asks them about their annual expenditures on the lottery. (You may find it useful to reference the t table.) Click here for the Excel Data File a. Specify the competing hypotheses to test the researcher’s claim.multiple choice 1 H0: μ ≥ 861.75; HA: μ < 861.75 b-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) -0.863 b-2. Find the p-value.multiple choice 2 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10 c. At α = 0.10, what is the conclusion?multiple choice 3 Reject H0; there is insufficient evidence…
Margaret is certain that every time she parks in the municipal garage it costs her at least $2.50. If the garage charges 40¢ plus 30¢ for each half hour, how long is Margaret's car parked? METOD Margaret's cost is at least $2.50 when Margaret's car is parked at least (Simplify your answer.)
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. Consider a connected graph on 100 vertices with 99 edges. What's the mallest number of colors you can use to color every vertex of the graph o that no two vertices that share an edge have the same color?