Elementary Technical Mathematics
Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 6, Problem 12R
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Answer questions 8.1.10, 8.1.11and 8.1.12 respectively
7.2.10 Researchers in the Hopkins Forest also count the number of maple trees (genus acer) in plots throughout the forest. The following is a histogram of the number of live maples in 1002 plots sampled over the past 20 years. The average number of maples per plot was 19.86 trees with a standard deviation of 23.65 trees. a. If we took the mean of a sample of eight plots, what would be the standard error of the mean? b. Using the central limit theorem, what is the probability that the mean of the eight would be within 1 standard error of the mean? c. Why might you think that the probability that you calculated in (b) might not be very accurate?     2. A normal population has mean 100 and variance 25. How large must the random sample be if you want the standard error of the sample average to be 1.5?
Answer questions 7.3.10 and 7.3.12 respectively  7.3.12. Suppose that two independent random samples (of size n1 and n2) from two normal distributions are available. Explain how you would estimate the standard error of the difference in sample means X1 − X2 with the bootstrap method.

Chapter 6 Solutions

Elementary Technical Mathematics

Ch. 6.1 - Solve each equation and check: x+2=8Ch. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Solve each equation and check: 23n=6Ch. 6.1 - Solve each equation and check: w712=3Ch. 6.1 - Prob. 6ECh. 6.1 - Solve each equation and check: x13=1.5Ch. 6.1 - Solve each equation and check: n+12=5Ch. 6.1 - Solve each equation and check: 3b=15.6Ch. 6.1 - Solve each equation and check: y17=25
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Solve each equation and check: 2=x5Ch. 6.1 - Prob. 14ECh. 6.1 - Solve each equation and check: 17=3+wCh. 6.1 - Solve each equation and check: 49=32+wCh. 6.1 - Solve each equation and check: 14b=57Ch. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Solve each equation and check: x+5=5Ch. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Solve each equation and check: 5x125=0Ch. 6.1 - Solve each equation and check: x7=56Ch. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Solve each equation and check: x=2Ch. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Solve each equation and check: 103x=16Ch. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Solve each equation and check: x5+4=9Ch. 6.1 - Solve each equation and check: 2x=6Ch. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Solve each equation and check: 3x5=12Ch. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Solve each equation and check: 2x3=7Ch. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Solve each equation and check: 28=73rCh. 6.1 - Solve each equation and check: 5x=6Ch. 6.1 - Prob. 50ECh. 6.1 - Solve each equation and check: 54y13=17.8Ch. 6.1 - Prob. 52ECh. 6.1 - Solve each equation and check: 28w56=8Ch. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Solve each equation and check: 313y=41Ch. 6.1 - Prob. 58ECh. 6.1 - Solve each equation and check: 83=174xCh. 6.1 - Solve each equation and check: 58=5m+52Ch. 6.2 - Solve each equation and check: 4y+9=7y15Ch. 6.2 - Solve each equation and check: 2y45=yCh. 6.2 - Solve each equation and check: 5x+3=7x5Ch. 6.2 - Prob. 4ECh. 6.2 - Solve each equation and check: 2x+7=5x21Ch. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - Solve each equation and check: 3x+17=6x37Ch. 6.2 - Prob. 10ECh. 6.2 - Prob. 11ECh. 6.2 - Solve each equation and check: 5y+12=12y5Ch. 6.2 - Solve each equation and check: 3x2=5x+8Ch. 6.2 - Prob. 14ECh. 6.2 - Solve each equation and check: 4x+25=6x45Ch. 6.2 - Prob. 16ECh. 6.2 - Solve each equation and check: 5x+4=10x7Ch. 6.2 - Solve each equation and check: 3x2=5x20Ch. 6.2 - Solve each equation and check: 27+5x=9+3xCh. 6.2 - Solve each equation and check: 2y+8=5y1Ch. 6.2 - Solve each equation and check: 7x+18=11x36Ch. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Solve each equation and check: 4x+2=8x7Ch. 6.2 - Solve each equation and check: 6x1=9x9Ch. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Solve each equation and check: 3x+1=17xCh. 6.2 - Solve each equation and check: 174y=14yCh. 6.3 - Solve each equation and check: 2(x+3)6=10Ch. 6.3 - Solve each equation and check: 3x+5(x6)=32Ch. 6.3 - Prob. 3ECh. 6.3 - Solve each equation and check: 5m(2m7)=5Ch. 6.3 - Solve each equation and check: 16=3(x4)Ch. 6.3 - Prob. 6ECh. 6.3 - Solve each equation and check: 5a(3a+4)=8Ch. 6.3 - Prob. 8ECh. 6.3 - Solve each equation and check: 5a4(a3)=7Ch. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Solve each equation and check: 278(2y)=13Ch. 6.3 - Solve each equation and check: 2a(5a7)=22Ch. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Solve each equation and check: 3x7+17(1x)=6Ch. 6.3 - Prob. 18ECh. 6.3 - Solve each equation and check: 6b=27+3bCh. 6.3 - Solve each equation and check: 2a+4=a3Ch. 6.3 - Solve each equation and check: 4(25x)=3x+2Ch. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Solve each equation and check: 6x+2=2(17x)Ch. 6.3 - Solve each equation and check: 6(17x)=24xCh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Solve each equation and check: 3(x+4)+3x=6Ch. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 6.3 - Prob. 32ECh. 6.3 - Solve each equation and check: 9m3(m5)=7m3Ch. 6.3 - Prob. 34ECh. 6.3 - Prob. 35ECh. 6.3 - Prob. 36ECh. 6.3 - Solve each equation and check: 8(x5)=13xCh. 6.3 - Prob. 38ECh. 6.3 - Prob. 39ECh. 6.3 - Prob. 40ECh. 6.3 - Solve each equation and check:...Ch. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - Solve each equation and check: 4(y+2)=8(y4)+7Ch. 6.3 - Prob. 46ECh. 6.3 - Solve each equation and check:...Ch. 6.3 - Prob. 48ECh. 6.3 - Solve each equation and check: 12+8(2y+3)=(y+7)16Ch. 6.3 - Prob. 50ECh. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - Solve each equation and check: 2(5y+1)+16=4+3(y7)Ch. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - Solve each equation and check:...Ch. 6.3 - Prob. 58ECh. 6.3 - Prob. 59ECh. 6.3 - Prob. 60ECh. 6.4 - Solve each equation and check: 2x3=326Ch. 6.4 - Solve each equation and check: 5x7=2014Ch. 6.4 - Prob. 3ECh. 6.4 - Solve each equation and check: 53x=1313Ch. 6.4 - Solve each equation and check: 212x=712Ch. 6.4 - Solve each equation and check: 12+x3=52Ch. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Solve each equation and check: 34x3=512Ch. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Solve each equation and check: 2x37=x2Ch. 6.4 - Solve each equation and check: y31=y6Ch. 6.4 - Prob. 14ECh. 6.4 - Solve each equation and check: 3x4720=25xCh. 6.4 - Solve each equation and check: 5x6+13(6+x)=37Ch. 6.4 - Solve each equation and check: x2+23(2x+3)=46Ch. 6.4 - Solve each equation and check: 16x19(2x3)=1Ch. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Solve each equation and check: 3x24163x1212=3Ch. 6.4 - Prob. 22ECh. 6.4 - Solve each equation and check: 5x+6x814+10x+66=43Ch. 6.4 - Prob. 24ECh. 6.4 - Solve each equation and check: 4x6x+52=6x68Ch. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Solve each equation and check: 51x=7Ch. 6.4 - Solve each equation and check: 3x6=8Ch. 6.4 - Prob. 31ECh. 6.4 - Solve each equation and check: 17x=8Ch. 6.4 - Solve each equation and check: 3x8=7Ch. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Solve each equation and check: 6x+5=14Ch. 6.4 - Prob. 38ECh. 6.4 - Solve each equation and check: 12x=143x13Ch. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Solve each equation and check: 8x+14=5x+13Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 2ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 4ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 8ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 14ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 19ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 22ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 25ECh. 6.6 - A built-in bookcase containing eight book shelves...Ch. 6.6 - Saw a board 8 ft 4 in. long into nine equal...Ch. 6.6 - Separate an order of 256 light fixtures so that...Ch. 6.6 - Distribute $1000 into three parts so that one part...Ch. 6.6 - Distribute $4950 among John, Maria, and Betsy so...Ch. 6.6 - Distribute $4950 among John, Maria, and Betsy so...Ch. 6.6 - A rectangle is twice as long as it is wide. Its...Ch. 6.6 - The length of a rectangle is 4 cm less than twice...Ch. 6.6 - One side of a rectangular yard is bounded by the...Ch. 6.6 - A given type of concrete contains an amount of...Ch. 6.6 - The perimeter of a triangle is 122 ft. The lengths...Ch. 6.6 - Cut a board 20 ft long into three pieces so that...Ch. 6.6 - Cut a 12-ft beam into two pieces so that one piece...Ch. 6.6 - The total cost of three automobile batteries is...Ch. 6.6 - The total cost of 20 boards is $166. One size...Ch. 6.6 - Amy and Kurt earned a total of $512 by working a...Ch. 6.6 - Joyce invests $7500 in two savings accounts. One...Ch. 6.6 - Chuck receives loans totaling $12,000 from two...Ch. 6.6 - Regular milk has 4% butterfat. How many litres of...Ch. 6.6 - How much pure alcohol must be added to 750 mL of a...Ch. 6.6 - Mix a solution that is 30% alcohol with a solution...Ch. 6.6 - Prob. 22ECh. 6.6 - A 12-quart cooling system is checked and found to...Ch. 6.6 - In testing an engine, various mixtures of gasoline...Ch. 6.6 - Assume you have sea water that weighs 64lb/ft3 and...Ch. 6.6 - Prob. 26ECh. 6.6 - Jeff invested $30,000 in a business whereas his...Ch. 6.6 - Prob. 28ECh. 6.6 - Cloth table coverings are to be cut for 8...Ch. 6.6 - How many quarts of water must be added to 3 gal of...Ch. 6.6 - Ground beef that is 90% lean costs 114 times the...Ch. 6.7 - Solve each formula for the given letter: E=IrforrCh. 6.7 - Solve each formula for the given letter: A=bhforbCh. 6.7 - Solve each formula for the given letter: F=maforaCh. 6.7 - Prob. 4ECh. 6.7 - Solve each formula for the given letter: C=dfordCh. 6.7 - Solve each formula for the given letter: V=IRforRCh. 6.7 - Solve each formula for the given letter: V=lwhforwCh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter: A=2rhforhCh. 6.7 - Solve each formula for the given letter: C=2rforrCh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 12ECh. 6.7 - Solve each formula for the given letter: I=QtfortCh. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Solve each formula for the given letter: I=EZforZCh. 6.7 - Solve each formula for the given letter: I=VRforRCh. 6.7 - Prob. 18ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter: R=2PforPCh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 22ECh. 6.7 - Prob. 23ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 26ECh. 6.7 - Prob. 27ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 30ECh. 6.7 - Prob. 31ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 34ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 38ECh. 6.7 - Prob. 39ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 2ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 4ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 6ECh. 6.8 - Prob. 7ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 10ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 20ECh. 6.8 - Prob. 21ECh. 6.8 - The formula for piston displacement is P=cd2SN,...Ch. 6.8 - The length of a cylinder is given by l=Vcd2, where...Ch. 6.8 - A flashlight bulb is connected to a 1.50-V source....Ch. 6.8 - Prob. 25ECh. 6.8 - The volume of a box is given by V=lwh. Find the...Ch. 6.8 - The volume of a cylinder is given by the formula...Ch. 6.8 - The pressure at the bottom of a lake is found by...Ch. 6.8 - The equivalent resistance R of two resistances...Ch. 6.8 - The R value of insulation is given by the formula...Ch. 6.8 - A steel railroad rail expands and contracts...Ch. 6.8 - The inductive reactance, XL, of a coil is given by...Ch. 6.8 - Prob. 33ECh. 6.8 - Prob. 34ECh. 6.8 - Prob. 35ECh. 6.8 - Prob. 36ECh. 6.9 - Use the formula 1R=1R1+1R2 for Exercise 1-6: Given...Ch. 6.9 - Use the formula 1R=1R1+1R2 for Exercise 1-6: Given...Ch. 6.9 - Use the formula 1R=1R1+1R2 for Exercise 1-6: Given...Ch. 6.9 - Prob. 4ECh. 6.9 - Prob. 5ECh. 6.9 - Prob. 6ECh. 6.9 - Prob. 7ECh. 6.9 - Prob. 8ECh. 6.9 - Use the formula 1f=1s0+1si for Exercises 7-10:...Ch. 6.9 - Use the formula 1f=1s0+1si for Exercises 7-10:...Ch. 6.9 - Prob. 11ECh. 6.9 - Prob. 12ECh. 6.9 - Use the formula 1R=1R1+1R2+1R3 for Exercise 11-16:...Ch. 6.9 - Prob. 14ECh. 6.9 - Prob. 15ECh. 6.9 - Prob. 16ECh. 6.9 - Prob. 17ECh. 6.9 - Use the formula 1C=1C1+1C2+1C3 for Exercise 1-22:...Ch. 6.9 - Prob. 19ECh. 6.9 - Prob. 20ECh. 6.9 - Prob. 21ECh. 6.9 - Prob. 22ECh. 6.9 - Prob. 23ECh. 6.9 - Prob. 24ECh. 6 - Solve each equation and check: 2x+4=7Ch. 6 - Prob. 2RCh. 6 - Prob. 3RCh. 6 - Prob. 4RCh. 6 - Prob. 5RCh. 6 - Prob. 6RCh. 6 - Solve each equation and check: 2x+9=5x15Ch. 6 - Prob. 8RCh. 6 - Prob. 9RCh. 6 - Solve each equation and check: 4x+1=4xCh. 6 - Solve each equation and check: 7(x5)=11Ch. 6 - Prob. 12RCh. 6 - Prob. 13RCh. 6 - Solve each equation and check: 6(x+7)5(x+8)=0Ch. 6 - Prob. 15RCh. 6 - Prob. 16RCh. 6 - Solve each equation and check: 2x3=169Ch. 6 - Prob. 18RCh. 6 - Solve each equation and check: 3x4x15=3+x2Ch. 6 - Prob. 20RCh. 6 - Prob. 21RCh. 6 - The length of rectangle is 6 more than twice its...Ch. 6 - Mix a solution that is 60% acid with a solution...Ch. 6 - Solve each formula for the given letter: F=WgforgCh. 6 - Solve each formula for the given letter: P=WAforACh. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Prob. 31RCh. 6 - Prob. 32RCh. 6 - Prob. 33RCh. 6 - Prob. 34RCh. 6 - Solve each equation: x8=6Ch. 6 - Solve each equation: 4x=60Ch. 6 - Prob. 3TCh. 6 - Prob. 4TCh. 6 - Prob. 5TCh. 6 - Solve each equation: 2(x+10)=3(52x)+5Ch. 6 - Solve each equation: 12(3x6)=3(x2)Ch. 6 - Solve each equation: 8x9=56Ch. 6 - Solve each equation: 3x52=x5x10Ch. 6 - Solve each equation: 8x+6=2Ch. 6 - Solve each equation: x225=2x534Ch. 6 - Distribute $2700 among Jose, Maria, and George so...Ch. 6 - How much pure antifreeze must be added to 20 L of...Ch. 6 - Solve P=2(l+2)forlCh. 6 - Solve CT=C1+C2+C3forC2.Ch. 6 - Solve V=lwhforw.Ch. 6 - Given P=I2R,P=480,andl=5.0,findR.Ch. 6 - Given A=h2(a+b),A=260,h=13,anda=15,findbCh. 6 - Given 1C=1C1+1C2,C=20.0FandC2=30.0F,findC1.Ch. 6 - Given 1R=1R1+1R2+1R3,R1=225,R2=475,andR3=925,findRCh. 6 - Prob. 1CRCh. 6 - Prob. 2CRCh. 6 - Write 3.015104 in decimal form.Ch. 6 - Prob. 4CRCh. 6 - Prob. 5CRCh. 6 - Prob. 6CRCh. 6 - Prob. 7CRCh. 6 - Prob. 8CRCh. 6 - Read the measurement shown on the vernier caliper...Ch. 6 - Prob. 10CRCh. 6 - Prob. 11CRCh. 6 - Prob. 12CRCh. 6 - Prob. 13CRCh. 6 - Prob. 14CRCh. 6 - Prob. 15CRCh. 6 - Prob. 16CRCh. 6 - Simplify: (4x3y)(5x+2y)Ch. 6 - Simplify: 215x2y345x3y5Ch. 6 - Prob. 19CRCh. 6 - Prob. 20CRCh. 6 - Prob. 21CRCh. 6 - Prob. 22CRCh. 6 - Prob. 23CRCh. 6 - Prob. 24CRCh. 6 - Prob. 25CRCh. 6 - Prob. 26CRCh. 6 - Prob. 27CRCh. 6 - Prob. 28CRCh. 6 - Prob. 29CRCh. 6 - The perimeter of a rectangle is 30 ft. The width...
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