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
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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?

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7. 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?
Meters
Below
Surfac
e
Monday
Tuesday
Wednesday
Thursday
Friday
Monday
Tuesday
Wednesday
Thursday
Friday
of
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Transcribed Image Text:A Dashb x O Cours X A modul x O modul x A Arithn x Kara ( X : Types x Kara ( X De X My Qu X + Auto x All No X A docs.google.com/document/d/1pK3Bjtrb2VpsdCDxzJ0qdFD6Csnv_86aedQMJ-0BOY/edit Q E Bendle Bookmarks School music Games I Reading/comics O Stuff O Stuff we want I Movie things O Ad stuff I Drawing things a List of Characters . Izuku Midoriya: Ori. >> Kara Costello - Dec 9 Arithmetic Sequences * D O TURN IN * Share File Edit View Insert Format Tools Add-ons Help Last edit was seconds ago W: 11 + BIU A E - E E O Editing 100% Normal text Calibri 31 . 2 3 4 5 . 6 7. 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? Meters Below Surfac e Monday Tuesday Wednesday Thursday Friday Monday Tuesday Wednesday Thursday Friday of Sign out 1:17
Expert Solution
Step 1

(a)

Given depths of the mining shafts are

-44, -152, -92, -68, -140, -116, -56, -104, -128 

 

Write the number in decreasing order as follows:

-44, -56, -68, -92, -104,-116, -128,-140, -152

 

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 -44, -56, -68, -92, -104,-116, -128,-140, -152

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 -12.

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