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- A Bitter Dispute With the publication of Ars Magna, a dispute intensified between Jerome Cardan and another mathematician named Niceolo Fontana, otherwise known as Tartaglia. What was the dispute, and how did it arise? In your opinion, who was at fault? Write a paragraph or two about your findings.SM1You manage a chemical company with 2 warehouses. The following quantities of Important Chemical A have arrived from an international supplier at 3 different ports: Chemical Available (L) Port 1 Port 2 Port 3 400 110 100 The following amounts of Important Chemical A are required at your warehouses: Warehouse 1 Warehouse 2 Chemical Required (L) 380 230 The cost in £ to ship 1L of chemical from each port to each warehouse is as follows: Warehouse 1 Warehouse 2 Port 1 £10 £45 Port 2 £20 £28 Port 3 £13 £11 (a) You want to know how to send these shipments as cheaply as possible. For- mulate this as a linear program (you do not need to formulate it in standard inequality form) indicating what each variable represents.
- 44. L-¹ (1 + e¯25) ²1 s+2Problems 7, 8, 9 pertain to the following information. The health department of a combined city and county government seeks to determine the relationship between an air pollution index (on a scale of 0 to 10 from best to worst) and the number of admissions to area hospitals for acute respiratory distress. It collects data from 75 randomly selected days (the air pollution index z and the number of admissions y for each day) and computes: 3.02. A cup of coffee is made with boiling water at a temperature of 100 °C, in a room at temperature 20 °C. After two minutes it has cooled to 80 •C. (a)What is its temperature after five minutes? (b) When will the coffee drop to 40 °C and taste cold?1. Mr. Pein has an aquarium that has a volume of 2000 mL and contains freshwater fish. One day, Mr. Pein's son accidentally spilled 1 kilogram of salt into the aquarium. The fish will die if they are in water with a salt concentration of more than 10-3 grams/mL for more than 30 minutes. So that the fish in the aquarium do not die, Mr. Pein must immediately reduce the salt concentration in the aquarium to 10-3 grams/mL by flowing fresh water at a constant rate through the aquarium, and removing the water from the aquarium at the same rate. What is the minimum water speed so that the fish don't die? In 500 А. 60000 mL/minute 2000 В. 30 In 500 mL/min 1996 С. mL/minute 30 In 500 D. 6000 mL/minute 200 Е. 30 In 500 mL/minWeber's law, a concept taught in most Introduction to Psychology courses, states that the ratio of the intensity of a stimulus to the "just noticeable" increment in intensity is constant, that is, the ratio doesn't depend on the intensity of the stimulus. The ratio is called the "Weber fraction," so a concise statement of Weber's Naw is that "the Weber fraction is constant, regardless of the stimulus intensity." It turns out that Weber's law is not so much a law as it is a rule of thumb, since it is violated in many situations. For instance, for some auditory stimuli, the Weber fraction does depend systematically on the stimulus intensity. %3D The following bivariate data are the experimental data obtained for one listener in an auditory intensity discrimination task. For each of the ten stimulus intensities x (in decibels), the Weber fraction y (in decibels) is shown. Figure 1 is a scatter plot of the data. Stimulus intensity, x (in decibels) Weber fraction, y (in decibels) 1+ 35…77. Simple epidemic. An influenza epidemic has spread throughout a community of 50,000 people at a rate propor- tional to the product of the number of people who have been infected and the number who have not been infected. If 100 individuals were infected initially and 500 were infected 10 days later: (A) How many people will be infected after 20 days? (B) When will half the community be infected?41. Poultry Farming Researchers at Iowa State University and the University of Arkansas have developed a piecewise func- tion that can be used to estimate the body weight (in grams) of a male broiler during the first 56 days of life according to ( 48 + 3.64t + 0.6363f² + 0.00963f³ if 1financial charge of 100 is wrong so I cant get apr3. The initial amount for J.W.'s new bank account is $2,500. The total amount in the bank account, a(t), for J.W. after t years can be represented by a(t) = 2500(1+). If J.W. has $4,400 in the bank account at the end of 6 years without putting any more money in the account, what is the value of x?SEE MORE QUESTIONSRecommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning