X X X UTF-8"Budget%20Form.pdf X Content X Content ome 90% https://elearning.kctcs.edu/ultra/courses/ 493523760 1/cl/outline The magnitude M of an earthquake is related to the energy E that it releases. The formula is log(E) + 7.5 M 1.5 Here, the unit of energy is the terajoule, which is one trillion joules. One joule is approximately the energy expended in lifting 3/4 of a pound one foot. One terajoule is approximately the energy produced by burning one million cubic feet of natural gas. (a) What is the magnitude of a 40-terajoule earthquake? (Round your answer to one decimal place.) (b) On September 24, 2013, a quake of magnitude 7.7 struck Pakistan. How much energy was released by that quake? (Round your answer to two decimal places.) terajoules (c) The atomic bomb dropped on Hiroshima released about 60 terajoules of energy. How many such bombs would be needed to produce the energy released by the Pakistan quake from part (b)? (Round your answer to the nearest whole number.) bombs Need Help? Talk to a Tutor Read It

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 78RE
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The magnitude M of an earthquake is related to the energy E that it releases. The formula is
log(E) + 7.5
M
1.5
Here, the unit of energy is the terajoule, which is one trillion joules. One joule is approximately the energy expended in lifting 3/4 of a pound one foot. One terajoule is approximately the
energy produced by burning one million cubic feet of natural gas.
(a) What is the magnitude of a 40-terajoule earthquake? (Round your answer to one decimal place.)
(b) On September 24, 2013, a quake of magnitude 7.7 struck Pakistan. How much energy was released by that quake? (Round your answer to two decimal places.)
terajoules
(c) The atomic bomb dropped on Hiroshima released about 60 terajoules of energy. How many such bombs would be needed to produce the energy released by the Pakistan quake
from part (b)? (Round your answer to the nearest whole number.)
bombs
Need Help?
Talk to a Tutor
Read It
Transcribed Image Text:X X X UTF-8"Budget%20Form.pdf X Content X Content ome 90% https://elearning.kctcs.edu/ultra/courses/ 493523760 1/cl/outline The magnitude M of an earthquake is related to the energy E that it releases. The formula is log(E) + 7.5 M 1.5 Here, the unit of energy is the terajoule, which is one trillion joules. One joule is approximately the energy expended in lifting 3/4 of a pound one foot. One terajoule is approximately the energy produced by burning one million cubic feet of natural gas. (a) What is the magnitude of a 40-terajoule earthquake? (Round your answer to one decimal place.) (b) On September 24, 2013, a quake of magnitude 7.7 struck Pakistan. How much energy was released by that quake? (Round your answer to two decimal places.) terajoules (c) The atomic bomb dropped on Hiroshima released about 60 terajoules of energy. How many such bombs would be needed to produce the energy released by the Pakistan quake from part (b)? (Round your answer to the nearest whole number.) bombs Need Help? Talk to a Tutor Read It
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