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Pages 2

Appendix E

Radicals

Application Practice

Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.

Hint: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions.

1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation:[pic], where C is a constant, and r is the distance that the object is from the center of Earth.

a. Solve the equation [pic]for r.

b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.)

c. Use the value of C you found in the previous question to determine how much the object would weigh in

i. Death Valley (282 feet below sea level).

ii. the top of Mount McKinley (20,320 feet above sea level).

2. The equation [pic]gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.

a. Solve this equation for h.

b. Long’s Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your…...

...Associate Level Material Appendix E Fueling Up Motorists often complain about rising gas prices. Some motorists purchase fuel-efficient vehicles and participate in trip reduction plans, such as carpooling and using alternative transportation. Other drivers try to drive only when necessary. Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. 1. Imagine you are at a gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation [pic] a. What does the number 3.03 represent? b. Find C(2). c. Find C(9). d. For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose that number. e. If you were to graph C(g), what would be an appropriate domain and range? Explain your reasoning. 2. Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26, and in January 2006, the price of regular unleaded gasoline was $2.31 (“Consumer price index,” 2006). Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope, or rate of change, between the two points. Describe how you arrived at your answer. 3. The...

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...MAT 117 Complete Course / MAT 117 Entire Course http://homeworktimes.com/downloads/mat-117-complete-course-mat-117-entire-course/ For More Tutorial Visit: http://homeworktimes.com For any Information Email Us: Uopguides@gmail.com MAT 117 Complete Course Material MAT 117 Week 1 DQ 1 Explain three rules for exponents listed in the chart on p. 239 (section 4.2) and give an example illustrating each of these rules. Do not explain the first two definitions listed in the table (Exponent of 1 or 0) or the scientific notation. Create an expression for your classmates to solve that uses at least one of the rules for exponents you have described. Consider responding to your classmates by assisting them in solving the problem you created, developing their explanations of the rules of exponents, or describing real-life situations where their examples might exist. MAT 117 Week 1 DQ 2 Give an example of a division of a polynomial long division by a binomial and show all the steps when performing the division. The example must be your own and not from the text book. How is this similar to numerical division of real numbers? Give another example for your classmates to solve. Note: The denominator of the polynomial long division must be a binomial, or trinomial, etc. For example, (x+1), or (x^2 -x +1, and so on MAT 117 Week 2 Assignment Simplifying and Factoring Polynomials Appendix C Thread for MAT 117 Week 3 – Discussion Question #1 Take any number (except for 1).......

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...MAT 117 Complete Course http://hwminute.com/downloads/mat-117-complete-course-material/ Please use a valid e-mail address while placing your order, the link to download products will be sent to this address. Check your Junk/Spam folder as well. After downloading, unzip the files. If you don't have WINZIP software, you can download it for free at www.winzip.com. If you don't receive any download link within a minute. Please contact us immediately. ( hwminute@gmail.com ) Visit Website: http://hwminute.com/ MAT 117 Complete Course MAT 117 Week 1-9 Entire Course MAT 117 Week 1 DQ 1 Explain three rules for exponents listed in the chart on p. 239 (section 4.2) and give an example illustrating each of these rules. Do not explain the first two definitions listed in the table (Exponent of 1 or 0) or the scientific notation. Create an expression for your classmates to solve that uses at least one of the rules for exponents you have described. Consider responding to your classmates by assisting them in solving the problem you created, developing their explanations of the rules of exponents, or describing real-life situations where their examples might exist. MAT 117 Week 1 DQ 2 Give an example of a division of a polynomial long division by a binomial and show all the steps when performing the division. The example must be your own and not from the text book. How is this similar to numerical division of real numbers? Give another example for your classmates to solve...

Words: 991 - Pages: 4

...MAT 117 Complete Course / MAT 117 Entire Course http://homeworktimes.com/downloads/mat-117-complete-course-mat-117-entire-course/ For More Tutorial Visit: http://homeworktimes.com For any Information Email Us: Uopguides@gmail.com MAT 117 Complete Course Material MAT 117 Week 1 DQ 1 Explain three rules for exponents listed in the chart on p. 239 (section 4.2) and give an example illustrating each of these rules. Do not explain the first two definitions listed in the table (Exponent of 1 or 0) or the scientific notation. Create an expression for your classmates to solve that uses at least one of the rules for exponents you have described. Consider responding to your classmates by assisting them in solving the problem you created, developing their explanations of the rules of exponents, or describing real-life situations where their examples might exist. MAT 117 Week 1 DQ 2 Give an example of a division of a polynomial long division by a binomial and show all the steps when performing the division. The example must be your own and not from the text book. How is this similar to numerical division of real numbers? Give another example for your classmates to solve. Note: The denominator of the polynomial long division must be a binomial, or trinomial, etc. For example, (x+1), or (x^2 -x +1, and so on MAT 117 Week 2 Assignment Simplifying and Factoring Polynomials Appendix C Thread for MAT 117 Week 3 – Discussion Question #1 Take any number (except for 1).......

Words: 953 - Pages: 4

...MAT 117 Complete Course Material http://homeworklance.com/downloads/mat-117-complete-course-material/ All Tutorials will be E-mailed immediately after the Payment, Please Check your inbox or Spam Folder and can also be Downloaded by clicking on Tutorial Bucket. For More Tutorials Visit Website: HOMEWORKLANCE.COM For Any Other Inquiry Feel Free To Contact Us: Lancehomework@gmail.com MAT 117 Complete Course Material MAT 117 Entire Course MAT 117 Week 1 DQ 1 Explain three rules for exponents listed in the chart on p. 239 (section 4.2) and give an example illustrating each of these rules. Do not explain the first two definitions listed in the table (Exponent of 1 or 0) or the scientific notation. Create an expression for your classmates to solve that uses at least one of the rules for exponents you have described. Consider responding to your classmates by assisting them in solving the problem you created, developing their explanations of the rules of exponents, or describing real-life situations where their examples might exist. MAT 117 Week 1 DQ 2 Give an example of a division of a polynomial long division by a binomial and show all the steps when performing the division. The example must be your own and not from the text book. How is this similar to numerical division of real numbers? Give another example for your classmates to solve. Note: The denominator of the polynomial long division must be a binomial, or trinomial, etc. For example, (x+1), or (x^2...

Words: 964 - Pages: 4

...MAT 117 Complete Course / MAT 117 Entire Course http://homeworktimes.com/downloads/mat-117-complete-course-mat-117-entire-course/ For More Tutorial Visit: http://homeworktimes.com MAT 117 Complete Course Material MAT 117 Week 1 DQ 1 Explain three rules for exponents listed in the chart on p. 239 (section 4.2) and give an example illustrating each of these rules. Do not explain the first two definitions listed in the table (Exponent of 1 or 0) or the scientific notation. Create an expression for your classmates to solve that uses at least one of the rules for exponents you have described. Consider responding to your classmates by assisting them in solving the problem you created, developing their explanations of the rules of exponents, or describing real-life situations where their examples might exist. MAT 117 Week 1 DQ 2 Give an example of a division of a polynomial long division by a binomial and show all the steps when performing the division. The example must be your own and not from the text book. How is this similar to numerical division of real numbers? Give another example for your classmates to solve. Note: The denominator of the polynomial long division must be a binomial, or trinomial, etc. For example, (x+1), or (x^2 -x +1, and so on MAT 117 Week 2 Assignment Simplifying and Factoring Polynomials Appendix C Thread for MAT 117 Week 3 – Discussion Question #1 Take any number (except for 1). Square that number and then subtract one. Divide by......

Words: 945 - Pages: 4

...MAT 117 Complete Course / MAT 117 Entire Course http://homeworktimes.com/downloads/mat-117-complete-course-mat-117-entire-course/ For More Tutorial Visit: http://homeworktimes.com MAT 117 Complete Course Material MAT 117 Week 1 DQ 1 Explain three rules for exponents listed in the chart on p. 239 (section 4.2) and give an example illustrating each of these rules. Do not explain the first two definitions listed in the table (Exponent of 1 or 0) or the scientific notation. Create an expression for your classmates to solve that uses at least one of the rules for exponents you have described. Consider responding to your classmates by assisting them in solving the problem you created, developing their explanations of the rules of exponents, or describing real-life situations where their examples might exist. MAT 117 Week 1 DQ 2 Give an example of a division of a polynomial long division by a binomial and show all the steps when performing the division. The example must be your own and not from the text book. How is this similar to numerical division of real numbers? Give another example for your classmates to solve. Note: The denominator of the polynomial long division must be a binomial, or trinomial, etc. For example, (x+1), or (x^2 -x +1, and so on MAT 117 Week 2 Assignment Simplifying and Factoring Polynomials Appendix C Thread for MAT 117 Week 3 – Discussion Question #1 Take any number (except for 1). Square that number and then subtract one. Divide by......

Words: 945 - Pages: 4

...MAT 117 Complete Course / MAT 117 Entire Course http://homeworktimes.com/downloads/mat-117-complete-course-mat-117-entire-course/ For More Tutorial Visit: http://homeworktimes.com MAT 117 Complete Course Material MAT 117 Week 1 DQ 1 Explain three rules for exponents listed in the chart on p. 239 (section 4.2) and give an example illustrating each of these rules. Do not explain the first two definitions listed in the table (Exponent of 1 or 0) or the scientific notation. Create an expression for your classmates to solve that uses at least one of the rules for exponents you have described. Consider responding to your classmates by assisting them in solving the problem you created, developing their explanations of the rules of exponents, or describing real-life situations where their examples might exist. MAT 117 Week 1 DQ 2 Give an example of a division of a polynomial long division by a binomial and show all the steps when performing the division. The example must be your own and not from the text book. How is this similar to numerical division of real numbers? Give another example for your classmates to solve. Note: The denominator of the polynomial long division must be a binomial, or trinomial, etc. For example, (x+1), or (x^2 -x +1, and so on MAT 117 Week 2 Assignment Simplifying and Factoring Polynomials Appendix C Thread for MAT 117 Week 3 – Discussion Question #1 Take any number (except for 1). Square that number and then subtract one. Divide by......

Words: 945 - Pages: 4

...Axia College Material Appendix E Radicals Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. Hint: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions. 1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of Earth. a. Solve the equation for r. W = c/r^2, r^2= c/w, r = sqrt(c/w) b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.) C = wr^2 = 100* (3963)^2 = 1570536900 c. Use the value of C you found in the previous question to determine how much the object would weigh in i. Death Valley (282 feet below sea level). W = 1570536900 / {3963 – (282/5280)}^2 = 100.0027 pounds ii. the top of Mount McKinley (20,320 feet above sea level). 1570536000 / {3963 + (20320/5280)}^2 =99.8061 pounds 2. The equation ......

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...Axia College Material Appendix E Fueling Up Motorists often complain about rising gas prices. Some motorists purchase fuel-efficient vehicles and participate in trip reduction plans, such as carpooling and using alternative transportation. Other drivers try to drive only when necessary. Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. 1. Imagine you are at a gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation [pic] a. What does the number 3.03 represent? b. Find C(2). c. Find C(9). d. For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose that number. e. If you were to graph C(g), what would be an appropriate domain and range? Explain your reasoning. 2. Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26, and in January 2006, the price of regular unleaded gasoline was $2.31 (“Consumer price index,” 2006). Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope, or rate of change, between the two points. Describe how you arrived at your answer. 3. The linear......

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...Associate Level Material Appendix E Radicals Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. Hint: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions. 1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of Earth. a. Solve the equation for r. w=Cr^(-2) wr^2 = C r^2 = C/w r = √(C/w) b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.) 100*3963^2 = C 1570536900 = C c. Use the value of C you found in the previous question to determine how much the object would weigh in i. Death Valley (282 feet below sea level). W=1,570,536,900(3963 *5280 - 282)^-2. w=1570536900(20924640 – 282)^-2. ii. the top of Mount McKinley (20,320 feet above sea level). 2. The equation gives the distance, D, in...

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...Associate Level Material Appendix E Fueling Up Motorists often complain about rising gas prices. Some motorists purchase fuel-efficient vehicles and participate in trip reduction plans, such as carpooling and using alternative transportation. Other drivers try to drive only when necessary. Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. 1. Imagine you are at a gas station filling your tank with gas. The function C (g) represents the cost C of filling up the gas tank with g gallons. Given the equation [pic] a. What does the number 3.03 represent? A: The 3.03 represents how much the gas cost per gallon. b. Find C (2). A: C (g) = 3.03(g) C (g) = 3.03(2) C (g) = $6.06 c. Find C (9). A: C (g) = 3.03(g) C (9) = 3.03(9) C (g) = $27.27 d. For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose that number. A: -9; this number was chosen as a negative amount cannot be placed into a gas tank. e. If you were to graph C (g), what would be an appropriate domain and range? Explain your reasoning. A: An......

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...Associate Level Material Appendix C Polynomials Retail companies must keep close track of their operations to maintain profitability. Often, the sales data of each individual product is analyzed separately, which can be used to help set pricing and other sales strategies. Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. 1. In this problem, we analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research). a. Suppose a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. Hint: Write an equation using two points in the form (x,p). To find the demand equation in the form p=mx+b, the first thing is to find the slope of the line, or m. To do this, divide the change in price by......

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...Associate Level Material Appendix C Polynomials Retail companies must keep close track of their operations to maintain profitability. Often, the sales data of each individual product is analyzed separately, which can be used to help set pricing and other sales strategies. Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. 1. In 2002, Home Depot’s sales amounted to $58,200,000,000. In 2006, its sales were $90,800,000,000. 2. Write Home Depot’s 2002 sales and 2006 sales in In this problem, we analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research). a. Suppose a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. Hint: Write an equation using two points in the form (x,p). ......

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...Associate Level Material Appendix E Fueling Up Motorists often complain about rising gas prices. Some motorists purchase fuel-efficient vehicles and participate in trip reduction plans, such as carpooling and using alternative transportation. Other drivers try to drive only when necessary. Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. 1. Imagine you are at a gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation [pic] a. What does the number 3.03 represent? 3.03 represents the price that it costs per gallon of gas. b. Find C(2).=3.03(2)3.03+3.03=6.06 c. Find C(9).plug in 9 for g;c(9)=3.03(9)=$27.27 d. For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose this. G cannot be a negative number like -5 because you cannot put a negative number of gallons in your gas tank. 2. Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26, and in January 2006, the price of regular unleaded gasoline was $2.31 (“Consumer price index,” 2006). Use the coordinates (1997, 1.26) and (2006, 2.31) to......

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