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All Textbook Solutions for Trigonometry (MindTap Course List)
Repeat Example 1 for the set ,14,63,122,7.5,1,8,22 .Plot the real numbers on the real number line. a.52b.1.6 c.34d.0.7Place the appropriate inequality symbol (or) between the pair of real numbers. a.1,5b.32,7c.23,34Describe the subset of real numbers that the inequality represents. a.x3b.0x4Give a verbal description of the interval [2,5) .Use inequality notation to represent the statement “x is less than 4 and at least 2 .”Evaluate each expression. a.1b.34c.23d.0.7Evaluate x+3x+3 for (a) x3 and (b) x3 .9ECPa. Find the distance between 35 and 23 . b. Find the distance between 35 and 23 . c. Find the distance between 35 and 23 .11ECP12ECP13ECP14ECPFill in the blanks. The decimal representation of an ________ number neither terminates nor repeats.Fill in the blanks. The point representing 0 on the real number line is the .Fill in the blanks. The distance between the origin and a point representing a real number on the real number line is the ________ ________ of the real number.4EFill in the blanks. The ________ of an algebraic expression are those parts that are separated by addition.6EClassifying Real Numbers In Exercises 7-10, determine which numbers in the set are (a) natural numbers, (b) whole numbers, (c) integers, (d) rational numbers, and (e) irrational numbers. 9,72,5,23,2,0,1,4,2,118E9E10EPlotting Points on the Real Number Line In Exercises 11 and 12, plot the real numbers on the real number line. a3b72c52d5.2Plotting Points on the Real Number Line In Exercises 11 and 12, plot the real numbers on the real number line. a8.5b43c4.75d8313E14E15E16E17E18E19E20E21E22EInterpreting an Inequality or an Interval In Exercises 17-24, (a) give a verbal description of the subset of real numbers represented by the inequality or the interval, (b) sketch the subset on the real number line, and (c) state whether the subset is bounded or unbounded. 5,2Interpreting an Inequality or an Interval In Exercises 17-24, (a) give a verbal description of the subset of real numbers represented by the inequality or the interval, (b) sketch the subset on the real number line, and (c) state whether the subset is bounded or unbounded. 1,2Using Inequality and Interval Notation In Exercises 25-28, use inequality notation and interval notation to describe the set. y is nonnegative.26E27EUsing Inequality and Interval Notation In Exercises 25-28, use inequality notation and interval notation to describe the set. k is less than 5 but no less than 3 .29E30E31E32E33E34E35E36E37E38E39E40E41E42EFinding a Distance In Exercises 43-46, find the distance between a and b . a=126,b=7544E45EFinding a Distance In Exercises 43-46, find the distance between a and b . a=14,b=11447E48EIn Exercises 49-52, use the bar graph, which shows the receipts of the federal government (in billions of dollars) for selected years from 2008 through 2014. In each exercise, you are given the expenditures of the federal government. Find the magnitude of the surplus or deficit for the year. YearReceipts, R Expenditures, E | RE | 2008$2982.5billion50EIn Exercises 49-52, use the bar graph, which shows the receipts of the federal government (in billions of dollars) for selected years from 2008 through 2014. In each exercise, you are given the expenditures of the federal government. Find the magnitude of the surplus or deficit for the year. YearReceipts, R Expenditures, E | RE | 2012$3537.0billion52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68EOperations with Fractions In Exercises 69-72, perform the operation. (Write fractional answers in simplest form.) 2x3x470E71E72E73E74E75E76E77ESolve each equation. a. 72x=15 b. 7x9=5x+72ECP3ECPSolve 2x23x+1=6 by factoring.5ECP6ECP7ECP8ECP9ECP10ECP11ECP12ECP13ECP14ECP1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34EExtracting Square Roots In Exercises 35-42, solve the equation by extracting square roots. When a solution is irrational, list both the exact solution and its approximation rounded to two decimal places. x2=4936E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70EUsing the Quadratic Formula In Exercises 69-72, use the Quadratic Formula to solve the equation. (Round your answer to three decimal places.) 0.005x2+0.101x0.193=072E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87E88E89E90E91E92E93E94E95E96E97E98E99E100E101E102E103E104E105E106EIn Exercises 107 and 108, use the following information. The relationship between the length of an adult’s femur (thigh bone) and the height of the adult can be approximated by the linear equations y=0.514x14.75 Female y=0.532x17.03 Male where y is the length of the femur in inches and x is the height of the adult in inches (see figure). A crime scene investigator discovers a femur belonging to an adult human female. The bone is 18 inches long. Estimate the height of the female.In Exercises 107 and 108, use the following information. The relationship between the length of an adult’s femur (thigh bone) and the height of the adult can be approximated by the linear equations y = 0.514x 14.75 Female y = 0.532x 17.03 Male where y is the length of the femur in inches and x is the height of the adult in inches (see figure). Officials search a forest for a missing man who is 6 feet 2 inches tall. They find an adult male femur that is 23 inches long. Is it possible that the femur belongs to the missing man?109E110E111E112E113E1ECP2ECP3ECP4ECP5ECP6ECP7ECPSketch the graph of each equation. a.y=x2+3b.y=1x29ECP10ECP11ECP12ECP13ECP1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E