The value of (27/8)-2/3 is..
Exact Form: 65/24
Decimal Form: 2.7083...…
Mixed Number Form: 2 17/24
Answer:
100
Step-by-step explanation:
M = log(I/S)
The intensity of the first earthquake:
8 = log(I₁/S)
10⁸ = I₁/S
I₁ = 10⁸ S
The intensity of the second earthquake:
6 = log(I₂/S)
10⁶ = I₂/S
I₂ = 10⁶ S
The ratio is:
I₁/I₂ = (10⁸ S) / (10⁶ S)
I₁/I₂ = 100
It is 100 times stronger.
Answer:
Both are correct.
Step-by-step explanation:
The key understanding here is that you can factor a monomial in many different ways!
To check if any of the factorizations is correct, we can multiply the factors and see if their product is really 12x^712x
7
12, x, start superscript, 7, end superscript.
Hint #22 / 4
\begin{aligned} (\blueD{4}\maroonD{x^3})(\blueD{3}\maroonD{x^4})&=(\blueD{4})(\blueD{3})(\maroonD{x^3})(\maroonD{x^4}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}
(4x
3
)(3x
4
)
=(4)(3)(x
3
)(x
4
)
=12x
7
So Ibuki is correct!
Hint #33 / 4
\begin{aligned} (\blueD{2}\maroonD{x^6})(\blueD{6}\maroonD{x})&=(\blueD{2})(\blueD{6})(\maroonD{x^6})(\maroonD{x}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}
(2x
6
)(6x)
=(2)(6)(x
6
)(x)
=12x
7
So Melodie is also correct!
Both Ibuki and Melodie are correct.
A. X = 2
what you do is divide each side by the coefficient of x (3.2) to get rid of it on the left, and simplify the right: 2.
