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For this exercise, use the Richter scale equation M = log I/I0, where M is the magnitude of an earthquake, I is the intensity of the shock waves, and I0 is the measure of the intensity of a zero-level earthquake.

If an earthquake had an intensity of I = 5,011,872I0, find the Richter scale magnitude of the earthquake. Round to the nearest tenth.
The percent of light that will pass through a material is given by the formula log P = −kd, where P is the percent of light passing through the material, k is a constant that depends on the material, and d is the thickness of the material in centimeters.

The constant k for a piece of tinted glass is 0.6. How thick is a piece of this glass that allows 55% of the light incident to the glass to pass through it? Round to the nearest hundredth of a centimeter.
write the equation that has the listed conditions

Contains a y-intercept of 6 and has a slope of 10

And

Contains a y-intercept of -11 and is perpendicular to 5


The graph of f(x) is shown below. https://latex.artofproblemsolving.com/d/b/a/dba24dce7c2734af95b18f61b73b2a32f213cd79.png

For each point (a,b) on the graph of y = f(x), the point ( 3a - 1, b/2) is plotted to form the graph of another function y = g(x). For example, (0,2) lies on the graph of y = f(x), so (3 * 0 - 1, 2/2) = (-1,1) lies on the graph of y = g(x).

(a) Plot the graph of y = g(x). Include the diagram in your solution.

(b) Express g(x) in terms of f(x).

(c) Describe the transformations that you would apply to the graph of y = f(x) to obtain the graph of y = g(x). For example, one transformation might be to stretch the graph horizontally by a factor of 5.

Please answer in detail!


What is the answer if you round 4.21 and 31.59 to 1 decimal place?


Please help !
if f(x)=1-x/1+x
then
f(-x)=? f(x+1)=? f(x)+1=? f(1/x)=? 1/f(x)=?
Aragorn The Great has boasted to his hordes of followers that many a notorious villian has fallen
to his awesome sword: His total of 560 victims consists of evil sorcerers, trolls, and orcs. These he
has slain with a total of 620 mighty thrusts of his sword; evil sorcerers and trolls each requiring two
thrusts (to the chest) and orcs each requiring one thrust (to the neck). when asked about the number
of trolls he has slain, he replies, ”I the mighty Aragorn, despise trolls five times as much as I despise
evil sorcerers. Accordingly, five times as many trolls as evil sorcerers have fallen to my sword!” How
many of each type of villian has he slain
Joan and Dick spent 2 weeks (14 nights) touring four cities on the East Coast–Boston, New York,
Philadelphia, and Washington. They paid $120, $200, $80, and $100 per night for lodging in each city,
respectively, and their hotel bill came to $2020. The number of days they spent in New York was the
same as the total number of days they spent in Boston and Washington, and the couple spent 3 times
as many days in New York as they did in Philadelphia. How many days did Joan and Dick stay in
each city
Form the forth degree equation two of whose roots are 1+√3 and 2-i
A formula for calculating the magnitude of an earthquake is M=23log(EE0) that uses the common (base 10) logarithm. This is called the Moment Magnitude Scale (MMS), an alternative to the more well known Richter Scale. One earthquake has magnitude 3.9 on the MMS. If a second earthquake has 600 times as much energy as the first, find the magnitude of the second quake.
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