Mathematics Homework Solutions

Exponential and Loarithmic Functions : Earthquake Intensity

Find the intensity I of an earthquake measuring R on the Richter scale (let Io=1). (a) Chile in 1906, R=8.6 (b) Los Angeles in 1971, R=6.7

Exponential and Logarithmic Functions : Level of Sound

Determine the level of sound (in decibels) for the given sound intensity. (a) I=10^-3.5 watt per m^2 (jet 4 miles from takeoff) (b) I=10^-3 watt per m^2 (diesel truck at 25 feet) (c) I=10^-1.5 watt per m^2 (auto horn at 3 feet)

Exponential and logarithmic functions: Radioactive decay. What percent of the present amount of radioactive uraniumII will remain after 5000 years?

Radioactive decay: The half-life of radioactive uraniumII (234^ U) is 250,000 years. What percent of the present amount of radioactive uraniumII will remain after 5000 years?

Exponential and Logarithmic functions

Demand Function: The demand equation for a camcorder is p=5000(1-4/4+e^-0.002x). Find the demands x for prices (a) p=$600 and (b) p=$400

Order of a Permutation

Please see the attached file for the fully formatted problems. Find the order of sigma^1000, where sigma is the permutation (123456789) (378945216)

Algebra: Simplify

-3 (4 5/8 * 3 2/3)

Algebra : Simplify

Simplify: 3 out side square root box. Inside square root box is 8a to the sixth power and b to the 13th power (times) 3 out side square root box. Inside square root box is 8 b to the second power.

Infinite Groups

Find an infinite group such that every element has finite order.

integers

Prove that every element of has finite order, where is the set of rational numbers with group operation + and is the set of integers.

Algebra : Simplify

(1/3)x-4>1/2 + (3/2)x

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