Answer:
Japan : 
California : 
Step-by-step explanation:
The magnitude of an earthquake on the Richter scale can be defined by

where E is the energy of the quake in joules.
Add 3.2 on both sides.

Multiply both sides by 3/2.


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.... (1)
It is given that the 2011 Tohoku earthquake in Japan measured 9.1 on the Richter scale.
Substitute M=9.1 in equation (1).

Therefore, the energy released by earthquake in japan is
.
It is given that the 1999 Hector Mine earthquake in eastern California had a magnitude of 7.1.
Substitute M=7.1 in equation (1).

Therefore, the energy released by earthquake in California is
.
Answer:
8% = 8/100 = 2/25
Step-by-step explanation:
^^^^^^^^^
Answer:
100
Step-by-step explanation:
300 + 300 = 600
600 - 500 = 100
7.6 Km because it subtract the number
Answer:

with the video game cost of x = $6
This agrees with the last option in the list of possible answers
Step-by-step explanation:
Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:

is given by:

In our case, the quadratic expression that generates the parabola is:

then the x-position of its vertex is:

This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

This value is the highest weekly profit (y = $246).
Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position
:

Therefore the answer is:

with the video game cost of x = $6