Suppose thatAKLM is isosceles with base KL. Suppose also that m ZK=(5x+26)° and m 2L=(4x+32)°. Find the degree measure of each angle in the triangle. m ZK = 6 ° m ZL = m ZM = [| • (Sx + 26)° (4x + 32)
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- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.Preferred Show YAH WIKI YT WIKI GOOG YT YAH GOOG GOOG GOOG WIKI GOOG YAH YAH YAH YAH YT GOOG YT YAH GOOG FB FB FB FB GOOG GOOG FB FB WIKI FB YAH YT YAH YAH YT GOOG YAH FB FB WIKI GOOG YAH WIKI WIKI YAH YAH YAH YAH YAH In a recent report, the top five most-visited English language web sites weregoogle.com (GOOG), facebook.com (FB), youtube.com (YT), yahoo.com (YAH), andwikipedia.com (WIKI). The most visited web sites for a sample of 50 Internet users areshown. (Please refer to the Website Data)a. Are these data categorical or quantitative?b. Provide frequency and percent frequency distributions.c. On the basis of the sample, which web site is most frequently the most often-visited website for Internet users? Which is second?Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. A bird with these tendencies is released from an island that is 3 km from the nearest point B on the shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. Points B and D are 8 km apart. (Round your answers to two decimal places.) In general, if it takes 1.3 times as much energy to fly over water as land, to what point C should the bird fly in order to minimize the total energy expended in returning to its nesting area?
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- The Instant Paper Clip Office Supply Company sells and delivers office supplies to companies, schools, and agencies within a 50-mile radius of its warehouse. The office supply business is competitive, and the ability to deliver orders promptly is a big factor in getting new customers and maintaining old ones. (Offices typically order not when they run low on supplies, but when they completely run out. As a result, they need their orders immediately.) The manager of the company wants to be certain that enough drivers and vehicles are available to deliver orders promptly and that they have adequate inventory in stock. Therefore, the manager wants to be able to forecast the demand for deliveries during the next month. From the records of previous orders, management has accumulated the following data for the past 10 months: Month Jan. Feb. Mar. Apr. May Jun. Jul. Aug. Sep. Oct. Orders 145 70 115 85 120 54 82 141 123 94 Compute the…The Instant Paper Clip Office Supply Company sells and delivers office supplies to companies, schools, and agencies within a 50-mile radius of its warehouse. The office supply business is competitive, and the ability to deliver orders promptly is a big factor in getting new customers and maintaining old ones. (Offices typically order not when they run low on supplies, but when they completely run out. As a result, they need their orders immediately.) The manager of the company wants to be certain that enough drivers and vehicles are available to deliver orders promptly and that they have adequate inventory in stock. Therefore, the manager wants to be able to forecast the demand for deliveries during the next month. From the records of previous orders, management has accumulated the following data for the past 10 months: Month Jan. Feb. Mar. Apr. May Jun. Jul. Aug. Sep. Oct. Orders 145 70 115 85 120 54 82 141 123 94 Compute the…The Instant Paper Clip Office Supply Company sells and delivers office supplies to companies, schools, and agencies within a 50-mile radius of its warehouse. The office supply business is competitive, and the ability to deliver orders promptly is a big factor in getting new customers and maintaining old ones. (Offices typically order not when they run low on supplies, but when they completely run out. As a result, they need their orders immediately.) The manager of the company wants to be certain that enough drivers and vehicles are available to deliver orders promptly and that they have adequate inventory in stock. Therefore, the manager wants to be able to forecast the demand for deliveries during the next month. From the records of previous orders, management has accumulated the following data for the past 10 months: Month Jan. Feb. Mar. Apr. May Jun. Jul. Aug. Sep. Oct. Orders 145 70 115 85 120 54 82 141 123 94 Compute the…
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