A mining operation was digging a mine shaft into the earth. On Monday the shaft was 44 meters below the surface, -44. Here are the depths of the mine shaft, but they are out of order. -44, -152, -92, -68, -140, -116, -56, -104, -128 A. Arrange them in the correct sequence and write them in the table below. B. What was the common difference? C.What does this common difference tell you about the mining operation?
A mining operation was digging a mine shaft into the earth. On Monday the shaft was 44 meters below the surface, -44. Here are the depths of the mine shaft, but they are out of order. -44, -152, -92, -68, -140, -116, -56, -104, -128 A. Arrange them in the correct sequence and write them in the table below. B. What was the common difference? C.What does this common difference tell you about the mining operation?
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question
A mining operation was digging a mine shaft into the earth. On Monday the shaft was 44 meters below the surface, -44. Here are the depths of the mine shaft, but they are out of order. -44, -152, -92, -68, -140, -116, -56, -104, -128
A. Arrange them in the correct sequence and write them in the table below.
B. What was the common difference?
C.What does this common difference tell you about the mining operation?
Expert Solution
Step 1
(a)
Given depths of the mining shafts are
Write the number in decreasing order as follows:
Starting with Monday, draw the table as follows:
Meters below the surface | |
Monday | -44 |
Tuesday | -56 |
Wednesday | -68 |
Thursday | -92 |
Friday | -104 |
Monday | -116 |
Tuesday | -128 |
Wednesday | -140 |
Thursday | -152 |
Friday |
Therefore, the required solution is
Step 2
(b)
The common difference is
Meters below the surface | Common difference | |
Monday | -44 | -56+44 = -12 |
Tuesday | -56 | -68+56 = -12 |
Wednesday | -68 | -92+68 =-24 |
Thursday | -92 | -104+92 =-12 |
Friday | -104 | -116+104 = -12 |
Monday | -116 | -128+116 = -12 |
Tuesday | -128 | -140+128 = -12 |
Wednesday | -140 | -152+140 = -12 |
Thursday | -152 | |
Friday |
Here the common difference is multiple of .
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