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A farmer has 300 ft of fencing and wants to enclose a rectangular area of 5000 ft^2. What dimensions should the farmer use? The length of the longer side of the fence is ft and the length of the shorter side of the fence is ft. (Simplify your answers.)

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Identify the form of business that is considered a separate legal entity. Multiple Choice a sole proprietorship a corporation a limited liability partnership a partnership

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Convert the given Celsius temperature to its equivalent temperature on the Fahrenheit scale. Use C=5/9(F-32) or F=9/5C+32, where F is the degrees in Fahrenheit and C is the degrees in Celsius. 36°C 36°C= (Round to the nearest tenth as needed.)

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In Exercises 15-18, use the diagram to find the perimeter and the area of the polygon. 15. triangle CDE 16. triangle ABF

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P(x)=6x^4-12x^2+9x-18; 1.5 and 2 Evaluate the function for the lower bound, 1.5. P(1.5)= (Type an integer or decimal rounded to the nearest hundredth as needed.

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Look at the following passage: No man can fully grasp how far and how fast we have come, but condense, if you will, the 50,000 years of man's recorded history in a time span of but a half-century. Stated in these terms, we know very little about the first 40 years, except at the end of them advanced man had learned to use the skins of animals to cover them. Then about 10 years ago, under this standard, man emerged from his caves to construct other kinds of shelter. Only five years ago man learned to write and use a cart with wheels. Christianity began less than two years ago. The printing press came this year, and then less than two months ago, during this whole 50year span of human history, the steam engine provided a new source of power. Newton explored the meaning of gravity. Last month electric lights and telephones and automobiles and airplanes became available. Only last week did we develop penicillin and television and nuclear power, and now if America's new spacecraft succeeds in reaching Venus, we will have literally reached the stars before midnight tonight. This is a breathtaking pace, and such a pace cannot help but create new ills as it dispels old, new ignorance, new problems, new dangers. Surely the opening vistas of space promise high costs and hardships, as well as high reward. What is the implied main idea? Humans have developed at a very fast pace in comparison to the history of the world.

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Use the method of elimination to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form. 2x - 4y = 18 -10x + 20y = -91

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26) Which of the following is a food that provides ample amounts of all of the essential amino acids? A) Milk B) Peanut butter C) Navy beans D) Wheat

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You can afford a 1050 per month mortgage payment. You've found a 30 year loan at an annual interest rate of 4.3%, compounded monthly. (Enter numeric answers to 2 decimal places.) a) How big of a loan can you afford? b) How much total money will you pay the loan company? c) How much of that money is interest? You want to buy a 270,000.00 home. You plan to pay 10% as a down payment, and take out a 25-year loan for the rest.

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A recent census found that 51.9% of adults are female, 10.3% are divorced, and 6.3% are divorced females. For an adult selected at random, let F be the event that the person is female, and D be the event that the person is divorced. a. Obtain P(F), P(D), and P(F D). b. Determine P(F or D), and interpret your answer in terms of percentages. c. Find the probability that a randomly selected adult is male. P( male )= (Type an integer or a decimal. Do not round.)

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The economy of Britannica produces three goods: computers, Blu-rays, and pizza. The accompanying table shows the prices and output of the three goods for the years 2012, 2013, and 2014. Year Computers Price Computers Quantity Blu-rays Price Blu-rays Quantity Pizzas Price Pizzas Quantity --- --- --- --- --- --- --- 2012 900 10 10 100 15 2 2013 1,000 10.5 12 105 16 2 2014 1,050 12 14 110 17 3 Calculate nominal GDP in Britannica for each of the three years. Round answers to two places after the decimal point when applicable. 2012 nominal GDP: 2013 nominal GDP: 2014 nominal GDP: Calculate the percentage change in nominal GDP for 2012-2013 and 2013-2014. Round answers to two places after the decimal point when applicable. 2012-2013: % 2013-2014: %

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Question 7 (1 point) Match the theories or advancements to the proper name, (look down to the right for the three choices) levels CEO to workers. - Control - Measure - The performance of the process - Compare performance to the goals - Action where there is a gap PDCA => PDSA (plan, do, study, act) - 3 Levels of Quality Management - Strategic Quality Mgt - policies - Operational QM

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Find the amount that would need to be saved monthly to prorate the given long-term expenses. Round the final answer to the nearest cent. Homeowner's insurance: 1199 annually; property tax: 3930.22 every 6 months The given long-term expenses would require saving per month. Round to the nearest cent.

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Noise levels at 3 construction sites were measured in decibels yielding the following data: 153, 163, 181 Construct the 95% confidence interval for the mean noise level at such locations. Assume the population is approximately normal. Step 4 of 4: Construct the 95% confidence interval. Round your answer to one decimal place.

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4. 0.820 mole of hydrogen gas has a volume of 2.00 L at a certain temperature and pressure. What is the volume of 0.125 mol of this gas at the same temperature and pressure? A. 0.0512 L D. 4.01 L B. 0.250 L E. 19.5 L C. 0.305 L

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Why is evaluating evidence an important part of making an inference when reading a literary text? (1 point) All implied details in a literary text support a logical inference. Literary authors rarely use implied details that require an inference. Solid evidence is needed to support a logical inference. An inference requires the support of explicit evidence.

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Simplify and rewrite the square root of 48 times the square root of 125 divided by the square root of 250 times the square root of 2 in the form a square root of b, with whole numbers a and b, and a>1.

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The following code snippet contains an error. What is the error? ``` int cost = 0; cin >> cost; if ( cost > 100); cost = cost - 10; cout << "Discount cost: " << cost << endl; ```

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Which parts of the head form the fitting triangle, where the frame should be evenly resting in order to attain a uniform fit? Select all that apply. Click submit when done.

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Question (2 points) See section 14.5 A reaction vessel contains PCl3, Cl2, and PCl5 with partial pressures of 0.40, 0.40, and 0.60 atm, respectively. The reaction vessel is heated to 450 K where the equilibrium constant (Kp) for the reaction below is 3.9. PCl3(g) + Cl2(g) ⇌ PCl5(g) 1st attempt Part 1 (1 point) See Periodic Table See Hint What is the value of the reaction quotient (Qp)? Part 2 (1 point) See Hint The reaction would be expected to proceed toward

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27. Who is the primary author of the Virginia Declaration of Rights? a. Thomas Jefferson b. James Madison c. George Mason d. George Washington 28. All of the following are accurate statements about the Virginia Declaration of Rights EXCEPT a. It reflects Classical Republicanism b. It provides for free exercise of religion c. It served as a model for other states d. It stemmed from the Declaration of Independence e. It draws upon natural rights philosophy 29. The Petition of Right of 1628 guaranteed rights such as I. Habeas Corpus II. Free Speech III. Right to refuse the quartering of troops a. I only b. II only c. III only d. I and II only e. I and III only f. I, II, and III 30. Which of the following principles were expressed in the English Bill of Rights of 1689 and later influenced constitutional development in America? I. Rule of Law II. Representative Government III. Guarantees of Free Speech a. I only b. II only c. III only d. I and II only e. I and III only f. I, II, and III 31. Explain Aristotle's correct and corrupt forms of government (you can draw the chart)

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Find (k'(x)) if (k(x)=-frac5x^3 cdot e^-3 x^4+4 x^2) Provide your answer below: [ k^prime(x)= ]

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User passwords for a certain computer network consist of 2 letters followed by 2 numbers. How many different passwords are possible? Repetition is allowed.

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Chemical signals produced by and T cells called interleukins can activate B cells.

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An insurance company crashed four cars of the same model at 5 miles per hour. The costs of repair for each of the four crashes were 438, 420, 460, and 220. Compute the mean, median, and mode cost of repair.

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The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below. Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled. The probability that the sum of the dice is even is 0.5 (Type an integer or a decimal. Round to three decimal places as needed.) c. Determine the probability that the sum of the dice is 10 or 5. The probability that the sum of the dice is 10 or 5 is (Type an integer or a decimal. Round to three decimal places as needed.)

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A certain disease has an incidence rate of 0.2%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.

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Complete the sentence: The Self-Reflect step of the PAUSE approach requires the reporter to Identify any potential bias you may have and its impact on how you interpret events when reporting suspicions of abuse or neglect. Check to see if your concerns sound serious enough before submitting an online report of suspected abuse or neglect. Reflect on whether or not your coworker will agree with your viewpoint before making the final decision to report or not. Reflect if anyone who shared information with you was influenced by implicit or explicit bias when relaying their information.

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Which one of the following is characteristic of an acid? turns red litmus blue produces H3O+ in water has a slippery, soapy feel has a bitter taste is insoluble in water

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Historians often refer to the period between 1789 and 1801 as "The type your answer... Era" because this political party held overwhelming influence in the federal government.