Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term
Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term
12th Edition
ISBN: 9781337890199
Author: Dale Ewen
Publisher: Cengage Learning
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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
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Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 4.7, Problem 11E

For each measurement, find the precision, the greatest possible error, the relative error, and the percent of error (to the nearest hundredth percent):

1.00 kg

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Problem 11 (a) A tank is discharging water through an orifice at a depth of T meter below the surface of the water whose area is A m². The following are the values of a for the corresponding values of A: A 1.257 1.390 x 1.50 1.65 1.520 1.650 1.809 1.962 2.123 2.295 2.462|2.650 1.80 1.95 2.10 2.25 2.40 2.55 2.70 2.85 Using the formula -3.0 (0.018)T = dx. calculate T, the time in seconds for the level of the water to drop from 3.0 m to 1.5 m above the orifice. (b) The velocity of a train which starts from rest is given by the fol- lowing table, the time being reckoned in minutes from the start and the speed in km/hour: | † (minutes) |2|4 6 8 10 12 14 16 18 20 v (km/hr) 16 28.8 40 46.4 51.2 32.0 17.6 8 3.2 0 Estimate approximately the total distance ran in 20 minutes.
- Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., p-1 2 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). 23 32 how come? The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. The set T is the subset of these residues exceeding So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1.
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., 2 p-1 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. 23 The set T is the subset of these residues exceeding 2° So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1. how come?

Chapter 4 Solutions

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...
Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Prob. 24ECh. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Prob. 26ECh. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Prob. 30ECh. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Determine the accuracy of each measurement; that...Ch. 4.1 - Prob. 36ECh. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.2 - Find a. the precision and b. the greatest possible...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Read the measurement in millimeters shown on each...Ch. 4.3A - Prob. 10ECh. 4.3A - Prob. 11ECh. 4.3A - Prob. 12ECh. 4.3B - Read the measurement in inches shown on each...Ch. 4.3B - Read the measurement in inches shown on each...Ch. 4.3B - Read the measurement in inches shown on each...Ch. 4.3B - Prob. 4ECh. 4.3B - Prob. 5ECh. 4.3B - Read the measurement in inches shown on each...Ch. 4.3B - Prob. 7ECh. 4.3B - Prob. 8ECh. 4.3B - Prob. 9ECh. 4.3B - Read the measurement in inches shown on each...Ch. 4.3B - Prob. 11ECh. 4.3B - Read the measurement in inches shown on each...Ch. 4.4A - Read the measurement shown on each metric...Ch. 4.4A - Read the measurement shown on each metric...Ch. 4.4A - Read the measurement shown on each metric...Ch. 4.4A - Prob. 4ECh. 4.4A - Prob. 5ECh. 4.4A - Prob. 6ECh. 4.4A - Prob. 7ECh. 4.4A - Prob. 8ECh. 4.4A - Prob. 9ECh. 4.4A - Prob. 10ECh. 4.4A - Read the measurement shown on each metric...Ch. 4.4A - Prob. 12ECh. 4.4A - Read the measurement shown on each metric...Ch. 4.4A - Prob. 14ECh. 4.4A - Prob. 15ECh. 4.4A - Prob. 16ECh. 4.4A - Prob. 17ECh. 4.4A - Prob. 18ECh. 4.4A - Prob. 19ECh. 4.4A - Read the measurement shown on each metric...Ch. 4.4B - Read the measurement shown on each U.S....Ch. 4.4B - Prob. 2ECh. 4.4B - Prob. 3ECh. 4.4B - Prob. 4ECh. 4.4B - Prob. 5ECh. 4.4B - Prob. 6ECh. 4.4B - Read the measurement shown on each U.S....Ch. 4.4B - Read the measurement shown on each U.S....Ch. 4.4B - Prob. 9ECh. 4.4B - Prob. 10ECh. 4.4B - Prob. 11ECh. 4.4B - Prob. 12ECh. 4.4B - Prob. 13ECh. 4.4B - Prob. 14ECh. 4.4B - Prob. 15ECh. 4.4B - Prob. 16ECh. 4.4B - Prob. 17ECh. 4.4B - Prob. 18ECh. 4.4B - Prob. 19ECh. 4.4B - Prob. 20ECh. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - In each set of measurements, find the measurement...Ch. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Prob. 26ECh. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - Use the rules for addition of measurements to find...Ch. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - Prob. 35ECh. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Use the rules for subtraction of measurements to...Ch. 4.5 - If you bolt four pieces of metal with thicknesses...Ch. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4.5 - A welder cuts several pieces of steel angle of...Ch. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - An automobile cooling system is leaking. One day...Ch. 4.5 - Prob. 50ECh. 4.5 - Prob. 51ECh. 4.5 - A 6-room building has the following supply air...Ch. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Prob. 8ECh. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Prob. 12ECh. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Prob. 20ECh. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Use the rules for multiplication and/or division...Ch. 4.6 - Prob. 26ECh. 4.6 - V=lwh is the formula for the volume of a...Ch. 4.6 - Find the volume of a cube measuring 8.10 cm on...Ch. 4.6 - The formula s=4.90t2 gives the distances, s in...Ch. 4.6 - Given K.E.=12mv2,m=2.87106kg,andv=13.4m/s. Find...Ch. 4.6 - A formula for determining the theoretical...Ch. 4.6 - Six pieces of metal, each 2.48 mm in thickness,...Ch. 4.6 - Find the volume of a storage bin cylinder with...Ch. 4.6 - In 2010, the United States harvested 12.4 billion...Ch. 4.6 - Prob. 35ECh. 4.6 - Prob. 36ECh. 4.6 - Prob. 37ECh. 4.6 - Prob. 38ECh. 4.6 - Prob. 39ECh. 4.6 - Prob. 40ECh. 4.6 - Prob. 41ECh. 4.6 - Prob. 42ECh. 4.6 - Prob. 43ECh. 4.6 - Prob. 44ECh. 4.6 - Prob. 45ECh. 4.6 - The weather forecast for tonight calls for about 1...Ch. 4.6 - Prob. 47ECh. 4.6 - According to the Environmental Protection Agency,...Ch. 4.6 - There is so much water in the world that we...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - For each measurement, find the precision, the...Ch. 4.7 - Prob. 18ECh. 4.7 - Prob. 19ECh. 4.7 - Prob. 20ECh. 4.7 - Compare each set of measurements by indicating...Ch. 4.7 - Compare each set of measurements by indicating...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Prob. 34ECh. 4.7 - Prob. 35ECh. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Complete the table: Given measurement Tolerance...Ch. 4.7 - Prob. 38ECh. 4.7 - Complete the table: Architects estimate Maximum...Ch. 4.7 - Complete the table: Architects estimate Maximum...Ch. 4.7 - Complete the table: Architects estimate Maximum...Ch. 4.7 - Complete the table: Architects estimate Maximum...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - Prob. 3ECh. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - Prob. 5ECh. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - Prob. 9ECh. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - For each resistor shown, find the resistance and...Ch. 4.8 - Prob. 13ECh. 4.8 - Prob. 14ECh. 4.8 - Prob. 15ECh. 4.8 - What color code on the first three bands is needed...Ch. 4.8 - What color code on the first three bands is needed...Ch. 4.8 - Prob. 18ECh. 4.8 - Prob. 19ECh. 4.8 - Prob. 20ECh. 4.8 - Prob. 21ECh. 4.8 - Prob. 22ECh. 4.8 - Prob. 23ECh. 4.8 - What color code on the first three bands is needed...Ch. 4.8 - Prob. 25ECh. 4.8 - Find a. the tolerance in ohms, b. the upper...Ch. 4.8 - Prob. 27ECh. 4.8 - Prob. 28ECh. 4.8 - Prob. 29ECh. 4.8 - Find a. the tolerance in ohms, b. the upper...Ch. 4.9 - Read each scale:Ch. 4.9 - Prob. 2ECh. 4.9 - Prob. 3ECh. 4.9 - Prob. 4ECh. 4.9 - Prob. 5ECh. 4.9 - Prob. 6ECh. 4.9 - Prob. 7ECh. 4.9 - Prob. 8ECh. 4.9 - Prob. 9ECh. 4.9 - Prob. 10ECh. 4.9 - Prob. 11ECh. 4.9 - Prob. 12ECh. 4.9 - Read each scale:Ch. 4.9 - Prob. 14ECh. 4.9 - Read each scale:Ch. 4.9 - Prob. 16ECh. 4.9 - Prob. 17ECh. 4.9 - Prob. 18ECh. 4.9 - Read each scale:Ch. 4.9 - Prob. 20ECh. 4.9 - Prob. 21ECh. 4.9 - Prob. 22ECh. 4 - Give the number of significant digits (the...Ch. 4 - Give the number of significant digits (the...Ch. 4 - Prob. 3RCh. 4 - Prob. 4RCh. 4 - Prob. 5RCh. 4 - Prob. 6RCh. 4 - Prob. 7RCh. 4 - Prob. 8RCh. 4 - Find a. the precision and b. and greatest possible...Ch. 4 - Prob. 10RCh. 4 - Prob. 11RCh. 4 - Prob. 12RCh. 4 - Prob. 13RCh. 4 - Prob. 14RCh. 4 - Prob. 15RCh. 4 - Prob. 16RCh. 4 - Read the measurement shown on the vernier caliper...Ch. 4 - Prob. 18RCh. 4 - Prob. 19RCh. 4 - Read the measurement shown on the U.S. micrometer...Ch. 4 - Find the measurement that is a. the most accurate...Ch. 4 - Prob. 22RCh. 4 - Prob. 23RCh. 4 - Prob. 24RCh. 4 - Prob. 25RCh. 4 - Prob. 26RCh. 4 - Prob. 27RCh. 4 - Prob. 28RCh. 4 - Prob. 29RCh. 4 - Prob. 30RCh. 4 - Prob. 31RCh. 4 - Prob. 32RCh. 4 - Prob. 33RCh. 4 - For each resistor find its resistance and its...Ch. 4 - Prob. 35RCh. 4 - Prob. 36RCh. 4 - Give the number of significant digits in each...Ch. 4 - Give the number of significant digits in each...Ch. 4 - Prob. 3TCh. 4 - Find a. the precision and b. the greatest possible...Ch. 4 - Prob. 5TCh. 4 - Find a. the precision and b. the greatest possible...Ch. 4 - Prob. 7TCh. 4 - Read the measurement shown on the vernier caliper...Ch. 4 - Prob. 9TCh. 4 - Read the measurement shown on the U.S. micrometer...Ch. 4 - Prob. 11TCh. 4 - Find the measurement that is a. the most accurate,...Ch. 4 - Use the rules of measurement to multiply:...Ch. 4 - Use the rules of rules of measurement to add:...Ch. 4 - Prob. 15TCh. 4 - Use the rules of measurement to divide: 6.28m225mCh. 4 - Prob. 17TCh. 4 - Find a. the relative error and b. the percent of...Ch. 4 - Prob. 19TCh. 4 - Read each scale:Ch. 4 - Prob. 1CRCh. 4 - Round 32,518.612 to nearest a. ten b. hundredth.Ch. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - Prob. 20CRCh. 4 - Given the number of significant digits in each...Ch. 4 - Find a. the precision and b. the greatest possible...Ch. 4 - Find a. the precision and b. the greatest possible...Ch. 4 - Prob. 24CRCh. 4 - Prob. 25CRCh. 4 - Prob. 26CRCh. 4 - Prob. 27CRCh. 4 - Prob. 28CRCh. 4 - Prob. 29CRCh. 4 - Prob. 30CRCh. 4 - Prob. 31CRCh. 4 - Prob. 32CRCh. 4 - Prob. 33CRCh. 4 - Read each scale:
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