Prealgebra (6th Edition)
6th Edition
ISBN: 9780134179018
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Textbook Question
Chapter 6.3, Problem 26E
Geometry The length of a yard is triple the length of the garden.
a. Define variable expressions for the length of the yard and the length of the garden.
b. Write the following phrase using math symbols: The difference between the length of the yard and the length of the garden.
c. Simplify the expression from part (b).
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Chapter 6 Solutions
Prealgebra (6th Edition)
Ch. 6.1 - Fill in the blanks. To subtract two polynomials,...Ch. 6.1 - Fill in the blanks. To add two polynomials, we...Ch. 6.1 - Identify the terms of each polynomial. 5a26a+2b4+1Ch. 6.1 - Identify the terms of each polynomial....Ch. 6.1 - Identify the terms of each polynomial. 6x63x33y1Ch. 6.1 - Identify the terms of each polynomial. 2y33x24z38Ch. 6.1 - Perform the operations indicated. (7y3)+(4y+9)Ch. 6.1 - Perform the operations indicated. (2x3)+(7x+6)Ch. 6.1 - Perform the operations indicated. (2a23a+6)+(4a2)Ch. 6.1 - Perform the operations indicated. (3c26c+3)+(2c7)
Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Simplify. (5x+2y)Ch. 6.1 - Simplify. (8x+5y)Ch. 6.1 - Simplify. (8x+4)Ch. 6.1 - Simplify. (5a+3)Ch. 6.1 - Simplify. (3x+6z5y)Ch. 6.1 - Simplify. (3x+4y8z)Ch. 6.1 - Perform the operations indicated. (10x+7)(3x+5)Ch. 6.1 - Perform the operations indicated. (8x+7)(3a+2)Ch. 6.1 - Perform the operations indicated. (7x3)(4x+6)Ch. 6.1 - Perform the operations indicated. (5y+2)(7y8)Ch. 6.1 - Perform the operations indicated. (8a+5)(4a3)Ch. 6.1 - Perform the operations indicated. (5c+2)(3c6)Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated. (4x2+7x+1)(x25)Ch. 6.1 - Perform the operations indicated. (3x2+7x+2)(x22)Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Perform the operations indicated....Ch. 6.1 - Determine the value of a if x0....Ch. 6.1 - Determine the value of a if x0....Ch. 6.1 - Determine the values of a and b if x0....Ch. 6.1 - Determine the values of a and b if x0....Ch. 6.1 - Perform the operation indicated. [4.4.1] 6x82x2Ch. 6.1 - Perform the operation indicated. [4.4.1]...Ch. 6.1 - Perform the operation indicated. [3.4.2] (4x)(2x2)Ch. 6.1 - Perform the operation indicated. [3.4.2]...Ch. 6.1 - [5.6.1]Miles Walked Maria walked 227 miles and...Ch. 6.1 - [5.6.1]Recipe Mixture A cook mixed 37 cup of brown...Ch. 6.1 - Perform the operations indicated. a. (3x+1)+(5x2)...Ch. 6.1 - Perform the operations indicated. a. (6a4)(3a2) b....Ch. 6.1 - Perform the operations indicated. a....Ch. 6.1 - Concept Check Mitchell subtracted two polynomials...Ch. 6.2 - Erin multiplied (4)(x2+2x+1) and obtained this...Ch. 6.2 - Write in words the multiplication that the word...Ch. 6.2 - Fill in the blanks and boxes to complete each...Ch. 6.2 - Fill in the blanks and boxes to complete each...Ch. 6.2 - Multiply. 3(3y24y+2) First term of the product is:...Ch. 6.2 - Multiply. 2(3y26y+1) First term of the product is:...Ch. 6.2 - To multiply (x1)(x2+3x+1): We multiply x times the...Ch. 6.2 - To multiply (y2)(y2+4y+3): We multiply the...Ch. 6.2 - Prob. 9ECh. 6.2 - Prob. 10ECh. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply. 3x2(x2)Ch. 6.2 - Use the distributive property to multiply. 4x3(x3)Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use the distributive property to multiply....Ch. 6.2 - Use FOIL to multiply. (x+6)(x+7)Ch. 6.2 - Use FOIL to multiply. (a+2)(a+1)Ch. 6.2 - Use FOIL to multiply. (x+3)(x+9)Ch. 6.2 - Use FOIL to multiply. (y+2)(y+5)Ch. 6.2 - Use FOIL to multiply. (a+6)(a+2)Ch. 6.2 - Use FOIL to multiply. (x+4)(x+1)Ch. 6.2 - Use FOIL to multiply. (y+4)(y8)Ch. 6.2 - Use FOIL to multiply. (a+7)(a4)Ch. 6.2 - Use FOIL to multiply. (x+2)(x4)Ch. 6.2 - Use FOIL to multiply. (x+3)(x5)Ch. 6.2 - Use FOIL to multiply. (x4)(x+2)Ch. 6.2 - Use FOIL to multiply. (m3)(m+5)Ch. 6.2 - Use FOIL to multiply. (2x+1)(x+2)Ch. 6.2 - Use FOIL to multiply. (3x+1)(x+2)Ch. 6.2 - Use FOIL to multiply. (3x3)(x1)Ch. 6.2 - Use FOIL to multiply. (4x3)(x1)Ch. 6.2 - Use FOIL to multiply. (2y1)(y+2)Ch. 6.2 - Use FOIL to multiply. (4y2)(y+1)Ch. 6.2 - Use FOIL to multiply. (2y+1)(y2)Ch. 6.2 - Use FOIL to multiply. (4y+2)(y1)Ch. 6.2 - Multiply. 5a(2a4b6)Ch. 6.2 - Multiply. 4x(3x+5y7)Ch. 6.2 - Multiply. 7x3(x3)Ch. 6.2 - Multiply. 8x3(x5)Ch. 6.2 - Prob. 51ECh. 6.2 - Multiply. (x4)(x2+x2)Ch. 6.2 - Multiply. (z+2)(z5)Ch. 6.2 - Multiply. (b+1)(b3)Ch. 6.2 - Multiply. (2x+1)(4x2+2x8)Ch. 6.2 - Multiply. (3x+1)(2x2+3x2)Ch. 6.2 - Multiply. (y7)(y+2)Ch. 6.2 - Multiply. (y8)(y+5)Ch. 6.2 - Prob. 59ECh. 6.2 - Multiply. a. (z+2)(z+4) b. (z2)(z4)Ch. 6.2 - Multiply. a. (x5)(x+3) b. (x+5)(x3)Ch. 6.2 - Prob. 62ECh. 6.2 - Simplify. (x+2)(x1)+2(3x+3)Ch. 6.2 - Simplify. (x3)(x+1)+4(2x+1)Ch. 6.2 - Simplify. 2x(x2+3x1)+(x2)(x3)Ch. 6.2 - Simplify. 3x(x2+x2)+(x1)(x2)Ch. 6.2 - If a(2x3)=14x+21, what is the value of a?Ch. 6.2 - If b(3xx+4)=15x20, what is the value of b?Ch. 6.2 - Perform the operations indicated. [3.2.3]Coin...Ch. 6.2 - Prob. 70ECh. 6.2 - Perform the operations indicated. [4.6.3]Calories...Ch. 6.2 - Perform the operations indicated. [4.5.3]Earnings...Ch. 6.2 - Prob. 1QQCh. 6.2 - Multiply. (x1)(4x22x+8)Ch. 6.2 - Prob. 3QQCh. 6.2 - Concept Check Multiply each of the following. 1....Ch. 6.3 - Fill in the blanks. Age Comparison Juan is two...Ch. 6.3 - Fill in the blanks. Age Comparison Rhonda is three...Ch. 6.3 - Fill in the blanks. Miles Run Alice can run 1 mile...Ch. 6.3 - Fill in the blanks. Home Runs Last season Jose...Ch. 6.3 - Prob. 5ECh. 6.3 - Write an applied problem using the following...Ch. 6.3 - Geometry The second angle of a triangle is 20...Ch. 6.3 - Wage Comparison Victors monthly salary is $95 less...Ch. 6.3 - Company Profit A companys profit for the fourth...Ch. 6.3 - Fundraiser Andrew walked 4 miles more than Dave...Ch. 6.3 - Height Comparison The height of a pole is one-half...Ch. 6.3 - Enrollment The number of students enrolled in Eden...Ch. 6.3 - Geometry The length of a rectangle is double the...Ch. 6.3 - Prob. 14ECh. 6.3 - Geometry The width of a rectangle is 13 inches...Ch. 6.3 - Geometry The width of a rectangle is 25 inches...Ch. 6.3 - Music DVDs The number of music DVDs that Carl has...Ch. 6.3 - Company Profit A companys profit for the second...Ch. 6.3 - Geometry The length of a rectangular box is double...Ch. 6.3 - Geometry The width of a rectangular box is double...Ch. 6.3 - Model Car Collection Jim has sixteen more blue...Ch. 6.3 - Height Comparison Sion is 3 inches taller than...Ch. 6.3 - Geometry The second side of a triangle is 4 inches...Ch. 6.3 - Geometry The second side of a triangle is 3 inches...Ch. 6.3 - Height Comparison The height of a building is four...Ch. 6.3 - Geometry The length of a yard is triple the length...Ch. 6.3 - School Election In a school election for class...Ch. 6.3 - Cookie Sales Betty-Jo sold 20 fewer boxes of Girl...Ch. 6.3 - Wage Comparison Vus salary is $125 more than Sams...Ch. 6.3 - Computer Game Scores Lena earned 120 points less...Ch. 6.3 - Investment Jerry invested $3000 more in stocks...Ch. 6.3 - Music Downloads The number of songs Arnold...Ch. 6.3 - Answer true or false. We can solve 3x+6.Ch. 6.3 - Answer true or false. We can solve 3x+6=12.Ch. 6.3 - Solve [3.2.1] 11x=44Ch. 6.3 - Solve [3.2.1] y+77=6Ch. 6.3 - Solve [5.7.1] m7=5Ch. 6.3 - Solve [3.1.2] 4x3x+8=62Ch. 6.3 - [3.3.2] Find the area of a rectangle with...Ch. 6.3 - [3.3.2] Find the volume of a rectangle with...Ch. 6.3 - Tinas monthly salary is triple Mais monthly...Ch. 6.3 - Dixie is 4 years older than Sugar. Pumpkin is 3...Ch. 6.3 - Phoebe purchased a watch, ring, and bracelet at...Ch. 6.3 - Concept Check The width of a box is triple the...Ch. 6.4 - Jessie incorrectly factored 6x12 as follows:...Ch. 6.4 - Explain why the following polynomial is not...Ch. 6.4 - For 9 and 27: a. State the common factors. b....Ch. 6.4 - For 4 and 24: a. State the common factors. b....Ch. 6.4 - Find the GCF for each set of numbers. 4, 16Ch. 6.4 - Find the GCF for each set of numbers. 5, 20Ch. 6.4 - Find the GCF for each set of numbers. 18, 27Ch. 6.4 - Find the GCF for each set of numbers. 14, 21Ch. 6.4 - Find the GCF for each set of numbers. 6, 9, 15Ch. 6.4 - Find the GCF for each set of numbers. 8, 10, 12Ch. 6.4 - Find the GCF for each set of numbers. 10, 15, 20Ch. 6.4 - Find the GCF for each set of numbers. 12, 18, 24Ch. 6.4 - For the polynomial a3bc+a6c: a. What variables are...Ch. 6.4 - For the polynomial x4yzx2z: a. What variables are...Ch. 6.4 - Find the GCF for each expression. xy2+xy3Ch. 6.4 - Find the GCF for each expression. mn3+mn4Ch. 6.4 - Find the GCF for each expression. a2b5+a3b4Ch. 6.4 - Find the GCF for each expression. x3y4+x2y5Ch. 6.4 - Find the GCF for each expression. a3bc2+ac3Ch. 6.4 - Find the GCF for each expression. x2yz3+xz2Ch. 6.4 - Find the GCF for each expression. x3yz3+xy4Ch. 6.4 - Find the GCF for each expression. a2bc3+ab3Ch. 6.4 - Fill in the missing numbers or variables needed to...Ch. 6.4 - Fill in the missing numbers or variables needed to...Ch. 6.4 - Fill in the missing numbers or variables needed to...Ch. 6.4 - Fill in the missing numbers or variables needed to...Ch. 6.4 - Fill in the missing numbers or variables needed to...Ch. 6.4 - Fill in the missing numbers or variables needed to...Ch. 6.4 - Fill in the missing numbers or variables needed to...Ch. 6.4 - Fill in the missing numbers or variables needed to...Ch. 6.4 - Fill in the missing numbers or variables needed to...Ch. 6.4 - Fill in the missing numbers or variables needed to...Ch. 6.4 - Fill in the missing + or sign. a. b.Ch. 6.4 - Fill in the missing + or sign. a. b.Ch. 6.4 - Factor. Check by multiplying. 3a6Ch. 6.4 - Factor. Check by multiplying. 7x14Ch. 6.4 - Factor. Check by multiplying. 5y+5Ch. 6.4 - Factor. Check by multiplying. 9x+9Ch. 6.4 - Factor. Check by multiplying. 10a+4bCh. 6.4 - Factor. Check by multiplying. 6x+10yCh. 6.4 - Factor. Check by multiplying. 15m+3nCh. 6.4 - Factor. Check by multiplying. 5a+25bCh. 6.4 - Factor. Check by multiplying. 7x+14y+21Ch. 6.4 - Factor. Check by multiplying. 6a+42b+30Ch. 6.4 - Factor. Check by multiplying. 8a+18b6Ch. 6.4 - Factor. Check by multiplying. 15x+20y10Ch. 6.4 - Factor. Check by multiplying. 2a24aCh. 6.4 - Factor. Check by multiplying. 15y23yCh. 6.4 - Factor. Check by multiplying. 4abb2Ch. 6.4 - Factor. Check by multiplying. 5xyy2Ch. 6.4 - Factor. Check by multiplying. 5x+10xyCh. 6.4 - Factor. Check by multiplying. 9x+18xyCh. 6.4 - Factor. Check by multiplying. 7x2y14xyCh. 6.4 - Factor. Check by multiplying. 8a2b16abCh. 6.4 - Factor. Check by multiplying. 12a2b6a2Ch. 6.4 - Factor. Check by multiplying. 15ab35b3Ch. 6.4 - Factor. Check by multiplying. 3x29x+18Ch. 6.4 - Factor. Check by multiplying. 2x28x+12Ch. 6.4 - Factor and check your answer. 4x2+8x3Ch. 6.4 - Factor and check your answer. 3y3+9y2Ch. 6.4 - Factor and check your answer. 2x2y+4xyCh. 6.4 - Factor and check your answer. 3a2b+6abCh. 6.4 - Factor and check your answer. 4y+2Ch. 6.4 - Factor and check your answer. 10x+5Ch. 6.4 - Factor and check your answer. 15a20Ch. 6.4 - Factor and check your answer. 9b15Ch. 6.4 - Factor and check your answer. 5x10xyCh. 6.4 - Factor and check your answer. 9x18xyCh. 6.4 - Factor and check your answer. 9xy33xyCh. 6.4 - Factor and check your answer. 4xy22xyCh. 6.4 - Factor and check your answer. 6x3y+12Ch. 6.4 - Factor and check your answer. 10a+20b+25Ch. 6.4 - Factor and check your answer. 4x2+8x4Ch. 6.4 - Factor and check your answer. 9x2+18x9Ch. 6.4 - Factor and check your answer. 2x3y38x2y2Ch. 6.4 - Factor and check your answer. 5x3y310x2y2Ch. 6.4 - Factor and check your answer. 4a2b+6ab+8aCh. 6.4 - Factor and check your answer. 12xy2+4xy+8yCh. 6.4 - When factoring a polynomial whose first...Ch. 6.4 - When factoring a polynomial whose first...Ch. 6.4 - Find the least common denominator of each set of...Ch. 6.4 - Find the least common denominator of each set of...Ch. 6.4 - Find the least common denominator of each set of...Ch. 6.4 - Find the least common denominator of each set of...Ch. 6.4 - [5.6.1]Rainfall Measured A rain gauge collected...Ch. 6.4 - [4.6.4]Potato Salad Servings Louise ordered 45...Ch. 6.4 - Find the GCF. a. 12, 20, 36 b. x2yz2x2y2Ch. 6.4 - Factor. 4x210y+2Ch. 6.4 - Factor. 5ab215abCh. 6.4 - Concept Check For the expression 12xy+16x a. Is xy...Ch. 6 - Prob. 1RPCh. 6 - Identify the terms of each polynomial. a42b23b4Ch. 6 - Simplify.Ch. 6 - Simplify. (6x+4y2)Ch. 6 - Perform the operations indicated. (3x9)+(5x2)Ch. 6 - Perform the operations indicated. (4x+8)(8x+2)Ch. 6 - Perform the operations indicated....Ch. 6 - Perform the operations indicated....Ch. 6 - Perform the operations indicated....Ch. 6 - Perform the operations indicated....Ch. 6 - Multiply. 4(6x28x+5)Ch. 6 - Prob. 12RPCh. 6 - Multiply. 3x(9x3y+2)Ch. 6 - Multiply. 5n(4n9m7)Ch. 6 - Multiply. 4x2(x44)Ch. 6 - Multiply. x4(x52x3)Ch. 6 - Multiply. (z+4)(5z)Ch. 6 - Multiply. (y+10)(6y)Ch. 6 - Multiply. (x36x)(4x2)Ch. 6 - Multiply. (x2)(2x2+3x1)Ch. 6 - Prob. 21RPCh. 6 - Multiply. (y1)(3y2+4y+5)Ch. 6 - Multiply. (2x+3)(x2+3x1)Ch. 6 - Use the FOIL method to multiply. (x2)(x+4)Ch. 6 - Use the FOIL method to multiply. (y+4)(y7)Ch. 6 - Use the FOIL method to multiply. (x2)(3x+4)Ch. 6 - Use the FOIL method to multiply. (x3)(5x6)Ch. 6 - Company Profit A companys profit for the third...Ch. 6 - Geometry The width of a field is 22 feet shorter...Ch. 6 - Geometry The measure of a is 30 more than the...Ch. 6 - Floral Bouquet A floral shop puts three times as...Ch. 6 - Wage Comparison Phoebes salary is $145 more than...Ch. 6 - Eye Color In a first-period history class at a...Ch. 6 - Geometry The length of the second side of a...Ch. 6 - Geometry The length of a box is 7 inches longer...Ch. 6 - Find the GCF for each of the following. 14, 21Ch. 6 - Find the GCF for each of the following. 6, 21Ch. 6 - Find the GCF for each of the following. 25, 45Ch. 6 - Find the GCF for each of the following. 18, 36Ch. 6 - Find the GCF for each of the following. 8, 14, 18Ch. 6 - Find the GCF for each of the following. 12, 16, 20Ch. 6 - Find the GCF for each of the following. a2bc+ab3Ch. 6 - Find the GCF for each of the following. xy3z+x2y2Ch. 6 - Factor. 6x14Ch. 6 - Factor. 5x+15Ch. 6 - Factor. 4a+12bCh. 6 - Factor. 3y9zCh. 6 - Factor. 6xy212xyCh. 6 - Factor. 8a2b16abCh. 6 - Factor. 10x3y+5x2yCh. 6 - Factor. 4y36y2+2yCh. 6 - Factor. 3a6b+12Ch. 6 - Factor. 2x+4y10Ch. 6 - Write the answers. Identify the terms of the...Ch. 6 - Write the answers. Simplify. (4x2y6)Ch. 6 - Perform the operations indicated. (5x+3)+(2x+4)Ch. 6 - Perform the operations indicated. (4y+5)(2y3)Ch. 6 - Perform the operations indicated. (7p2)(3p+4)Ch. 6 - Perform the operations indicated....Ch. 6 - Perform the operations indicated....Ch. 6 - Perform the operations indicated....Ch. 6 - Prob. 9TCh. 6 - Multiply. 7a(2a+3b4)Ch. 6 - Multiply. 2x3(4x23)Ch. 6 - Multiply. (x+5)(x+9)Ch. 6 - Multiply. (x+3)(x2)Ch. 6 - Multiply. (2x+1)(x3)Ch. 6 - Multiply. (3x31)(4x4)Ch. 6 - Prob. 16TCh. 6 - The width of a piece of wood is three inches...Ch. 6 - The second side of a triangle is 6 inches longer...Ch. 6 - Jason received 3000 fewer votes than Lena in an...Ch. 6 - Find the GCF. 9, 21Ch. 6 - Find the GCF. 8, 16, 20Ch. 6 - Find the GCF. x2yz+x3zCh. 6 - Factor. 3x+12Ch. 6 - Factor. 7x214x+21Ch. 6 - Factor. 2x2y6xy2
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- The accompanying data shows the fossil fuels production, fossil fuels consumption, and total energy consumption in quadrillions of BTUs of a certain region for the years 1986 to 2015. Complete parts a and b. Year Fossil Fuels Production Fossil Fuels Consumption Total Energy Consumption1949 28.748 29.002 31.9821950 32.563 31.632 34.6161951 35.792 34.008 36.9741952 34.977 33.800 36.7481953 35.349 34.826 37.6641954 33.764 33.877 36.6391955 37.364 37.410 40.2081956 39.771 38.888 41.7541957 40.133 38.926 41.7871958 37.216 38.717 41.6451959 39.045 40.550 43.4661960 39.869 42.137 45.0861961 40.307 42.758 45.7381962 41.732 44.681 47.8261963 44.037 46.509 49.6441964 45.789 48.543 51.8151965 47.235 50.577 54.0151966 50.035 53.514 57.0141967 52.597 55.127 58.9051968 54.306 58.502 62.4151969 56.286…arrow_forwardFor each of the time series, construct a line chart of the data and identify the characteristics of the time series (that is, random, stationary, trend, seasonal, or cyclical). Month PercentApr 1972 4.97May 1972 5.00Jun 1972 5.04Jul 1972 5.25Aug 1972 5.27Sep 1972 5.50Oct 1972 5.73Nov 1972 5.75Dec 1972 5.79Jan 1973 6.00Feb 1973 6.02Mar 1973 6.30Apr 1973 6.61May 1973 7.01Jun 1973 7.49Jul 1973 8.30Aug 1973 9.23Sep 1973 9.86Oct 1973 9.94Nov 1973 9.75Dec 1973 9.75Jan 1974 9.73Feb 1974 9.21Mar 1974 8.85Apr 1974 10.02May 1974 11.25Jun 1974 11.54Jul 1974 11.97Aug 1974 12.00Sep 1974 12.00Oct 1974 11.68Nov 1974 10.83Dec 1974 10.50Jan 1975 10.05Feb 1975 8.96Mar 1975 7.93Apr 1975 7.50May 1975 7.40Jun 1975 7.07Jul 1975 7.15Aug 1975 7.66Sep 1975 7.88Oct 1975 7.96Nov 1975 7.53Dec 1975 7.26Jan 1976 7.00Feb 1976 6.75Mar 1976 6.75Apr 1976 6.75May 1976…arrow_forwardUsing FDF, BDF, and CDF, find the first derivative; 1. The distance x of a runner from a fixed point is measured (in meters) at an interval of half a second. The data obtained is: t 0 x 0 0.5 3.65 1.0 1.5 2.0 6.80 9.90 12.15 Use CDF to approximate the runner's velocity at times t = 0.5s and t = 1.5s 2. Using FDF, BDF, and CDF, find the first derivative of f(x)=x Inx for an input of 2 assuming a step size of 1. Calculate using Analytical Solution and Absolute Relative Error: = True Value - Approximate Value| x100 True Value 3. Given the data below where f(x) sin (3x), estimate f(1.5) using Langrage Interpolation. x 1 1.3 1.6 1.9 2.2 f(x) 0.14 -0.69 -0.99 -0.55 0.31 4. The vertical distance covered by a rocket from t=8 to t=30 seconds is given by: 30 x = Loo (2000ln 140000 140000 - 2100 9.8t) dt Using the Trapezoidal Rule, n=2, find the distance covered. 5. Use Simpson's 1/3 and 3/8 Rule to approximate for sin x dx. Compare the results for n=4 and n=8arrow_forward
- Can you check if my step is correct?arrow_forwardI need help explaining on this example on how can I define the Time-Domain Function, Apply the Laplace Transformation Formula, and Simplify to Find the Frequency-Domain Expression. I need to understand on finding Y(s)arrow_forward1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b) the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the 8-second period. t 0 2 4 6 8 V 10 15 12 10 16 2. Find the midpoint rule approximation for (a) n = 4 +5 x²dx using n subintervals. 1° 2 (b) n = 8 36 32 28 36 32 28 24 24 20 20 16 16 12 8- 4 1 2 3 4 5 6 12 8 4 1 2 3 4 5 6arrow_forward
- 1. A Blue Whale's resting heart rate has period that happens to be approximately equal to 2π. A typical ECG of a whale's heartbeat over one period may be approximated by the function, f(x) = 0.005x4 2 0.005x³-0.364x² + 1.27x on the interval [0, 27]. Find an nth-order Fourier approximation to the Blue Whale's heartbeat, where n ≥ 3 is different from that used in any other posts on this topic, to generate a periodic function that can be used to model its heartbeat, and graph your result. Be sure to include your chosen value of n in your Subject Heading.arrow_forwardI need help explaining on this example on how can I define the Time-Domain Function, Apply the Laplace Transformation Formula, andarrow_forwardma Classes Term. Spring 2025 Title Details Credit Hours CRN Schedule Type Grade Mode Level Date Status Message *MATHEMATICS FOR MANAGEME... MTH 245, 400 4 54835 Online Normal Grading Mode Ecampus Undergradu... 03/21/2025 Registered **Web Registered... *SOIL SCIENCE CSS 205, 400 0 52298 Online Normal Grading Mode Undergraduate 03/21/2025 Waitlisted Waitlist03/21/2025 PLANT PATHOLOGY BOT 451, 400 4 56960 Online Normal Grading Mode Undergraduate 03/21/2025 Registered **Web Registered... Records: 3 Schedule Schedule Detailsarrow_forward
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