Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
an article from the new yorker states that the strongest earthquake that can be caused by the san andreas fault
![grows to 12.000 after 90 minutes.
an exponential model fit) A representing the
after 3 hours.
on.
tes. (a) Find A and k, and (b) use the model to determine the
(a) It is given that f(0) = 5.000 and f(90) 12,000
Thus, f(0) = Ae) = A =5,000.
Also, f(90) = 5,000e(0) 12,000 Ih e0k
Take the In of both sides to obtain In eok In 90k = In k 0.00973
The exponential model is f(t) = 5,000e00973",
(b) 3 hours = 180 minutes: f(180) = 5,000e0.00978(180) 28,813 bacteria
TEST YOURSELF
Find the value/s of x in the following equations/inequalities.
1. logs(x + 4) = logs (2x-4)
2. log2(3x+5) 2 log:(x-9)
3. (log2 x)² - 4 0
4. log x+ log(x-3) s log 10
San Andreas fault has a magnitude of 8.2 on the Richter scale, It also states that this is only 6% as
strong as the 2011 Japan earthquake, with a magnitude of 9.0. Verify this information.
6. Suppose that a fish population t days from now can be modeled by an exponential function P(t) =
Ae. Suppose that the fish population doubled in 90 days. By how much will the fish have
multiplied from its initial number after 120 days?
5. An article from the New Yorker 10 states that the strongest earthquake that can be caused by the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd87d53f9-1f66-410e-bd19-30d84f0557fe%2Fbb22346e-81ca-4523-8d1e-b78c0ec3703e%2Ff7xi5wm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:grows to 12.000 after 90 minutes.
an exponential model fit) A representing the
after 3 hours.
on.
tes. (a) Find A and k, and (b) use the model to determine the
(a) It is given that f(0) = 5.000 and f(90) 12,000
Thus, f(0) = Ae) = A =5,000.
Also, f(90) = 5,000e(0) 12,000 Ih e0k
Take the In of both sides to obtain In eok In 90k = In k 0.00973
The exponential model is f(t) = 5,000e00973",
(b) 3 hours = 180 minutes: f(180) = 5,000e0.00978(180) 28,813 bacteria
TEST YOURSELF
Find the value/s of x in the following equations/inequalities.
1. logs(x + 4) = logs (2x-4)
2. log2(3x+5) 2 log:(x-9)
3. (log2 x)² - 4 0
4. log x+ log(x-3) s log 10
San Andreas fault has a magnitude of 8.2 on the Richter scale, It also states that this is only 6% as
strong as the 2011 Japan earthquake, with a magnitude of 9.0. Verify this information.
6. Suppose that a fish population t days from now can be modeled by an exponential function P(t) =
Ae. Suppose that the fish population doubled in 90 days. By how much will the fish have
multiplied from its initial number after 120 days?
5. An article from the New Yorker 10 states that the strongest earthquake that can be caused by the
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