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 .
To answer this, let's first describe the two areas and obtain the pertinent dimensions from them.
The area of the square hole is 5 cm^2. Since A = s^2, where s is the length of a side of the square, s = +√5 in this situation. +√5 is approx. 2.24 cm.
The area of the round peg is 5 cm^2 also, but the area is calculated using a different formula: A = πr^2, where r is the radius of the circle. Solving for r^2, we get:
r^2 = A/π. Here, r^2 = (5 cm^2)/π = 5π, so that:
r = +√(5π). This is approx. 3.96 cm, and so the diameter is twice that, or 7.93 cm.
So there's plenty of room for the round peg to enter the square hole, but not the other way around!
Prime numbers are those numbers which cannot be divided evenly by any number other than 1 and itself.
For example, 12 is not a prime number, because it can be divided evenly by numbers other than 1 and 12 (namely, 2, 3, 4, and 6).
On the other hand, 13 IS a prime number, because it can only be divided by 1 and 13 evenly.
Just as a sidenote, numbers that are not prime numbers are called 'composite numbers'.
Hope that helped =)
Answer:
tax =1
Step-by-step explanation:
20=5(3+x)
4=3+x
x=1
x as in tax
Answer:
This is because even when the quality of the variable x is 0, the value of b still exists and is the starting point for y.
Step-by-step explanation:
To prove this, we start with the base form of the equation and input 0 for x.
y = mx + b
y = m(0) + b
y = 0 + b
y = b
