Answer:
= −21
Step-by-step explanation:
3(5−6)−2(4+5)
=(3)(−1)−2(4+5)
=−3−2(4+5)
=−3−(2)(9)
=−3−18
=−21
brainliest please? :)
Answer:
The rate of sales tax is 6%.
Step-by-step explanation:
First you must subtract 12.50 from 13.25
This brings you to .75
Then, divide .75/12.50 to get 0.06 which is equivalent to 6 percent.
So the equation is 5-x3
x^3=x*x*x
so you have x=-2
That means y=5-(-2*-2*-2)
y=5-(-8) which gives y=13
Do this for every x and get the y
Answer:

Step-by-step explanation:
The <em>Richter scale</em>, the standard measure of earthquake intensity, is a <em>logarithmic scale</em>, specifically logarithmic <em>base 10</em>. This means that every time you go up 1 on the Richter scale, you get an earthquake that's 10 times as powerful (a 2.0 is 10x stronger than a 1.0, a 3.0 is 10x stronger than a 2.0, etc.).
How do we compare two earthquake's intensities then? As a measure of raw intensity, let's call a "standard earthquake" S. What's the magnitude of this earthquake? The magnitude is whatever <em>power of 10</em> S corresponds to; to write this relationship as an equation, we can say
, which we can rewrite in logarithmic form as
.
We're looking for the magnitude M of an earthquake 100 times larger than S, so reflect this, we can simply replace S with 100S, giving us the equation
.
To check to see if this equation is right, let's say we have an earthquake measuring a 3.0 on the Richter scale, so
. Since taking 100 times some intensity is the same as taking 10 times that intensity twice, we'd expect that more intense earthquake to be a 5.0. We can expand the equation
using the product rule for logarithms to get the equation

And using the fact that
and our assumption that
, we see that
as we wanted.