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All Textbook Solutions for Elementary Technical Mathematics
Use the rules for multiplication and/or division of measurements to evaluate: (24.2cm)(16.1cm)(18.9cm)Use the rules for multiplication and/or division of measurements to evaluate: (0.045m)(0.0292m)(0.0365m)Use the rules for multiplication and/or division of measurements to evaluate: (2460m)(960m)(1970m)12EUse the rules for multiplication and/or division of measurements to evaluate: (0.480A)2(150)Use the rules for multiplication and/or division of measurements to evaluate: 360ft212ftUse the rules for multiplication and/or division of measurements to evaluate: 62,500in325in.Use the rules for multiplication and/or division of measurements to evaluate: 9180yd336yd2Use the rules for multiplication and/or division of measurements to evaluate: 1520m240mUse the rules for multiplication and/or division of measurements to evaluate: 18.4m39.2m2Use the rules for multiplication and/or division of measurements to evaluate: 4800V14.2A20EUse the rules for multiplication and/or division of measurements to evaluate: 5.63km2.7sUse the rules for multiplication and/or division of measurements to evaluate: 0.497N(1.4m)(8.0m)Use the rules for multiplication and/or division of measurements to evaluate: (120V)247.6Use the rules for multiplication and/or division of measurements to evaluate: (19kg)(3.0m/s)22.46mUse the rules for multiplication and/or division of measurements to evaluate: 140g(3.2cm)(1.7cm)(6.4)26EV=lwh is the formula for the volume of a rectangular solid, where l= length, w= width, and h= height. Find the volume of a rectangular solid when l= 16.4 ft, w= 8.6 ft, and h= 6.4 ft.Find the volume of a cube measuring 8.10 cm on each edge. (V=e3,where e is the length of each edge.)The formula s=4.90t2 gives the distances, s in metres, that an object falls in a given time, t. Find the distance a ball falls in 2.4 seconds.Given K.E.=12mv2,m=2.87106kg,andv=13.4m/s. Find K.E.A formula for determining the theoretical horse-power of an engine is p=d2n2.50, where d is the diameter of 2.50 each cylinder in inches and n is the number of cylinders. What is the horsepower of an 8-cylinder engine if each cylinder has a diameter of 3.00 in.? (Note: Eight is an exact number. Ignore the number of significant digits in an exact number when determining the number of significant digits in a product or quotient.)Six pieces of metal, each 2.48 mm in thickness, are fitted together. What is the total thickness of the 6 pieces?Find the volume of a storage bin cylinder with radius 6.2 m and height 8.5 m. The formula for the volume for a cylinder is V=r2h.In 2010, the United States harvested 12.4 billion bu of corn from 88.2 million acres. In 2004, 11.8 billion acres. What the difference in yield between 2010 and 2004?35E36E37E38E39E40E41E42E43E44E45EThe weather forecast for tonight calls for about 1 inch of rain per hour. The local shopping center has a paved parking lot that measures 2.50 acres and has two storm sewers to handle the runoff. a. Assuming 100% runoff, how many gallons of water per hour must the storm sewers handle tonight to avoid flooding if 1.00 in. of rain per hour falls? (Note: The volume of 1 acre of water 1 inch deep is 27,150 gallons.) b. If each storm sewer is rated at 25,000 gal/h, can we expect flooding from the parking lot?47EAccording to the Environmental Protection Agency, a total of 258 million tons of solid waste was generated in the United States in 2014. Of that, 18% was food waste. If all of that food waste had been composted instead of put into landfills, how many pounds of food waste would have been kept out of our landfills?There is so much water in the world that we normally measure large bodies of water in cubic miles or cubic kilometers instead of gallons. Cayuga Lake in upstate New York contains an estimated 9.4 km3. How many cubic miles of water does Cayuga Lake contain?For each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 1400 lbFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 240,000For each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 875 rpmFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 12,500 VFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 0.085 gFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 0.188 cmFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 2 gFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 2.2 gFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 2.22 gFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 18,000 WFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 1.00 kgFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 1.0 kgFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 0.0141 AFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 0.08 haFor each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 1178in.For each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): 134in.For each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent): `1 ft 8 in.18E19E20ECompare each set of measurements by indicating which measurement is better or best: 16 mg; 19.7 g; 12316 ozCompare each set of measurements by indicating which measurement is better or best: 68,000 V; 3450 ; 3.2 AComplete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 312in. 18in. 358in. 338in. 14in.Complete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 534in. 116in.Complete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 658in. 132in.Complete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 7716in. 132in.Complete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 3716in. 164in.Complete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 964in. 1128in.Complete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 3316in. 1128in.Complete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 9316mi 132miComplete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 1.19cm 0.05cmComplete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 1.78m 0.05mComplete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 0.0180A 0.0005A34E35EComplete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 375,000W 10,000WComplete the table: Given measurement Tolerance Upper limit Lower limit Tolerance interval 10.31km 0.05km38EComplete the table: Architects estimate Maximum rate above estimate Maximum acceptable bid 48,250 10Complete the table: Architects estimate Maximum rate above estimate Maximum acceptable bid 259,675 7Complete the table: Architects estimate Maximum rate above estimate Maximum acceptable bid 1,450,945 8Complete the table: Architects estimate Maximum rate above estimate Maximum acceptable bid 8,275,625 5For each resistor shown, find the resistance and the tolerance, written as a percent:For each resistor shown, find the resistance and the tolerance, written as a percent:3EFor each resistor shown, find the resistance and the tolerance, written as a percent:5EFor each resistor shown, find the resistance and the tolerance, written as a percent:For each resistor shown, find the resistance and the tolerance, written as a percent:For each resistor shown, find the resistance and the tolerance, written as a percent:9EFor each resistor shown, find the resistance and the tolerance, written as a percent:For each resistor shown, find the resistance and the tolerance, written as a percent:For each resistor shown, find the resistance and the tolerance, written as a percent:13E14E15EWhat color code on the first three bands is needed for each resistance? 3.1What color code on the first three bands is needed for each resistance? 65,00018E19E20E21E22E23EWhat color code on the first three bands is needed for each resistance? 0.3425EFind a. the tolerance in ohms, b. the upper limit, c. the lower limit, and d. the tolerance interval for each resistor: Exercise 227E28E29EFind a. the tolerance in ohms, b. the upper limit, c. the lower limit, and d. the tolerance interval for each resistor: Exercise 12Read each scale:2E3E4E5E6E7E8E9E10E11E12ERead each scale:14ERead each scale:16E17E18ERead each scale:20E21E22E1R2RFor any number a expect 0, a,a1a=?Evaluate: 104(3)Evaluate: 2+342Evaluate: (4)(12)623+1832In Exercises 7-12, let x=3andy=2 . Evaluate each expression: x+yIn Exercises 7-12, let x=3andy=2 . Evaluate each expression: x3yIn Exercises 7-12, let x=3andy=2 . Evaluate each expression: 5xyIn Exercises 7-12, let x=3andy=2 . Evaluate each expression: x2yIn Exercises 7-12, let x=3andy=2 . Evaluate each expression: y3y2In Exercises 7-12, let x=3andy=2 . Evaluate each expression: 2x23yxy2In Exercises 13-16, simplify by removing the parentheses and combining like terms: (5y2)(2y)In Exercises 13-16, simplify by removing the parentheses and combining like terms: (73x)(5x+1)In Exercises 13-16, simplify by removing the parentheses and combining like terms: 11(2x+1)4(3x4)In Exercises 13-16, simplify by removing the parentheses and combining like terms: (x3+2x2y)(3y32x3+x2y+y)17R18RPerform the indicated operation: (3a2+7a2)+(5a22a+4)Perform the indicated operation: (6x3+3x2+1)(3x2x2x1)Perform the indicated operation: (3x2+5x+2)+(9x26x2)(2x2+6x4)Perform the indicated operation: (6x2)(4x3)Perform the indicated operation: (7x2y)(8x3y2)24RPerform the indicated operation: 5a(3a+4b)26RPerform the indicated operation: (5x+3)(3x4)28RPerform the indicated operation: (49x2)(7x3)30RPerform the indicated operation: 36a327a2+9a9aPerform the indicated operation: 6x2+x122x+3Perform the indicated operation: 3x3+2x26x+4x+2Evaluate: 35242Evaluate: 12232+331622Evaluate each expression when x=4andy=1. 4x23y3Evaluate each expression when x=4andy=1. 2x2y4x2yIs 4+3x5x2 a monomial, a binomial, or a trinomial? Find its degree.Rearrange the polynomial 3+4x25x3x in decreasing order.Perform the indicated operation and simplify: (3a217a)+(6a2+4a)Perform the indicated operation and simplify: 5(2+x)2(x+4)Perform the indicated operation and simplify: Add: 3x2+6x89x2+6x3x2+157x+4_Perform the indicated operation and simplify: (5a5b+7)(2a5b3)Perform the indicated operation and simplify: (7a2)(4a2)(a)Perform the indicated operation and simplify: (6x2)(3x)2Perform the indicated operation and simplify: (4x3)3Perform the indicated operation and simplify: (6x4y2)3Perform the indicated operation and simplify: 5x(2x3)Perform the indicated operation and simplify: 82x(3x+4)Perform the indicated operation and simplify: 85x4y217x2y1Perform the indicated operation and simplify: (4a+6)(a5)Perform the indicated operation and simplify: (3x44)(6x5)Perform the indicated operation and simplify: (x+y5)(xy)Perform the indicated operation and simplify: 36a42a316a24aPerform the indicated operation and simplify: 9x4y312x2y+18y23x2y3Perform the indicated operation and simplify: (5x2y3)(7x3y)Perform the indicated operation and simplify: 3x213x10x5Perform the indicated operation and simplify: 4x5y32x3y5Perform the indicated operation and simplify: 6x27x63x5Perform the indicated operation and simplify: x3+2x2+x+12x+31EEvaluate each expression: (2)(3)2+3(2)63E4E5E6E7EEvaluate each expression: (9)233(6)+[ 3(2)5(3) ]Evaluate each expression: [ (2)(8)2(2)3 ][ 4+(2)4 ]210EIn Exercise 11-16, let x=2 and y=3, and evaluate each expression: 2xyIn Exercise 11-16, let x=2 and y=3, and evaluate each expression: x2yIn Exercise 11-16, let x=2 and y=3, and evaluate each expression: x2y214E15EIn Exercise 11-16, let x=2 and y=3, and evaluate each expression: 2(x+y)2x2(yx)In Exercise 17-26, let x=1 and y=5, and evaluate each expression: xy2xIn Exercise 17-26, let x=1 and y=5, and evaluate each expression: 4x3y2In Exercise 17-26, let x=1 and y=5, and evaluate each expression: 2yx2xyIn Exercise 17-26, let x=1 and y=5, and evaluate each expression: 3+4(x+y)In Exercise 17-26, let x=1 and y=5, and evaluate each expression: 34(x+y)In Exercise 17-26, let x=1 and y=5, and evaluate each expression: 1.75(2xy)In Exercise 17-26, let x=1 and y=5, and evaluate each expression: 1x1y+2xy24EIn Exercise 17-26, let x=1 and y=5, and evaluate each expression: y4x3x6xyIn Exercise 17-26, let x=1 and y=5, and evaluate each expression: (yx)24y4x2+2In Exercises 27-32, let x=3,y=4,andz=6 . Evaluate each expression: (2xy2z)2In Exercises 27-32, let x=3,y=4,andz=6 . Evaluate each expression: (x2y2)zIn Exercises 27-32, let x=3,y=4,andz=6 . Evaluate each expression: (y22x2)z230E31E32EIn Exercises 33-42, let x=1,y=2,andz=3 . Evaluate each expression: (2x+6)(3y4)34EIn Exercises 33-42, let x=1,y=2,andz=3 . Evaluate each expression: (3x+5)(2y1)(5z+2)36EIn Exercises 33-42, let x=1,y=2,andz=3 . Evaluate each expression: (xxy)2(z2x)In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate each expression: 3x2(y3z)26x39EIn Exercises 33-42, let x=1,y=2,andz=3 . Evaluate each expression: (3x2+z2)2In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate each expression: x2+(zy)24x2+z2In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate each expression: (3x2+2)2y263x2y2Remove the parentheses from each expression: a+(b+c)2E3E4E5ERemove the parentheses from each expression: x+(y+z+3)7E8E9E10E11ERemove the parentheses from each expression: (2x+4)(3y+4r)13E14E15E16ERemove the parentheses from each expression: (2x+3y5)+(zw+2)(3r+2s+7)Remove the parentheses from each expression: (5x11y2)(7z+3)+(3r+7)(4s2)Remove the parentheses from each expression: (3x+y)(z+42)(4rs)20E21E22E23E24E25E26E27E28ECombine the like terms: 6a2+a+12aCombine the like terms: 5x2+3x28x231E32E33E34E35E36E37ECombine the like terms: 3x25x2+4x2+x4+5x2x+239E40E41E42E43E44E45E46ESimplify by first removing the parentheses and then combining the like terms: 2y(7y)48E49E50E51E52E53E54E55E56E57E58ESimplify by first removing the parentheses and then combining the like terms: 4(3x+9y)60E61E62ESimplify by first removing the parentheses and then combining the like terms: (5x+13)3(x2)