78. GEOMETRY CONNECTION Part of the three- dimensional mathematical figure called the horn of Gabriel is shown. The area of the cross section (in the coordinate plane) of the horn is given by: 2 log e Approximate this area to three decimal places. A = 0.5 11 Ix y = -1/ X WAIVER XIN 03X1
78. GEOMETRY CONNECTION Part of the three- dimensional mathematical figure called the horn of Gabriel is shown. The area of the cross section (in the coordinate plane) of the horn is given by: 2 log e Approximate this area to three decimal places. A = 0.5 11 Ix y = -1/ X WAIVER XIN 03X1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 72RE
Related questions
Question
I need help with 78 and 80
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78. GEOMETRY CONNECTION Part of the three-
dimensional mathematical figure called the
horn of Gabriel is shown. The area of the
cross section (in the coordinate plane) of the
horn is given by:
2
log e
Approximate this area to three decimal places.
A =
-0.5
y
WAIVER EXI
SEISMOLOGY In Exercises 79 and 80, use the following information.
The Richter scale is used for measuring the magnitude of an earthquake. The Richter
magnitude R is given by the model
R = 0.67 log (0.37E) + 1.46
where E is the energy (in kilowatt-hours) released by the earthquake.
79. Suppose an earthquake releases 15,500,000,000 kilowatt-hours of energy. What
is the earthquake's magnitude? (Use a calculator.)
80. How many kilowatt-hours of energy would the earthquake in Exercise 79 have to
release in order to increase its magnitude by one-half of a unit on the Richter
scale? Use a graph to solve the problem.
81. TORNADOES Most tornadoes last less than an hour and travel less than
20 miles. The wind speed s (in miles per hour) near the center of a tornado is
related to the distance d (in miles) the tornado travels by this model:
s = 93 log d + 65
On March 18, 1925, a tornado whose wind speed was about 280 miles per hour
struck the Midwest. Use a graph to estimate how far the tornado traveled.
8.4 Logarithmic Functions
Pencil
491](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa083cba-f79c-47a3-a0b4-b97ef8378a9e%2F283a7298-6d95-419a-ae82-b4bb5e8cf5b4%2Fk8mnlc6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:S
S
arm
If of
air from
der-
along
sult is
h can
.com
78. GEOMETRY CONNECTION Part of the three-
dimensional mathematical figure called the
horn of Gabriel is shown. The area of the
cross section (in the coordinate plane) of the
horn is given by:
2
log e
Approximate this area to three decimal places.
A =
-0.5
y
WAIVER EXI
SEISMOLOGY In Exercises 79 and 80, use the following information.
The Richter scale is used for measuring the magnitude of an earthquake. The Richter
magnitude R is given by the model
R = 0.67 log (0.37E) + 1.46
where E is the energy (in kilowatt-hours) released by the earthquake.
79. Suppose an earthquake releases 15,500,000,000 kilowatt-hours of energy. What
is the earthquake's magnitude? (Use a calculator.)
80. How many kilowatt-hours of energy would the earthquake in Exercise 79 have to
release in order to increase its magnitude by one-half of a unit on the Richter
scale? Use a graph to solve the problem.
81. TORNADOES Most tornadoes last less than an hour and travel less than
20 miles. The wind speed s (in miles per hour) near the center of a tornado is
related to the distance d (in miles) the tornado travels by this model:
s = 93 log d + 65
On March 18, 1925, a tornado whose wind speed was about 280 miles per hour
struck the Midwest. Use a graph to estimate how far the tornado traveled.
8.4 Logarithmic Functions
Pencil
491
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