Answer:
<h2>1</h2>
Step-by-step explanation:
Magnitude 
of an earthquake is defined as 
. Here 
is the Intensity of the earthquake and 
is the intensity of standard earthquake.
We have an earthquake that is 10 times more intense than a standard earthquake. Let us denote the intensity of the earthquake as .
10 times more intense than standard earthquake ⇒ 
Magnitude of the earthquake = 
∴ Magnitude of the earthquake is 1.
Answer:
B. 10/91
Step-by-step explanation:
Box has 5 red buttons and 9 blue buttons.
We add 5 and 9 to get the total buttons.
5 + 9 = 14
Then, we find the probability for a red button.
5/14 = .35
Now, that we've taken out 1 button.
The amount of buttons available changes.
14 - 1 = 13
There are 4 red buttons remaining.
The probability for a red button changes to 4/13.
4/13 = .30
Then, we multiply both probabilities.
.30 x .35 = .111
Convert to a fraction.
.111 = 10/91
Thus it would be B.
let's recall the remainder theorem.
we know that (x-1) is a factor, that means x -1 = 0 or x = 1.
since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.
![f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2Bkx-11%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C%5Cstackrel%7B0%7D%7Bf%281%29%7D%3D3%281%29%5E3%2Bk%281%29-11%5Cimplies%20%5Cstackrel%7Bf%281%29%7D%7B0%7D%3D3%2Bk-11%5Cimplies%200%3D-8%2Bk%5Cimplies%208%3Dk)
Mia would have to work 26.1 hours (approx. 26) to earn $124.00
4.75x=124
divide 4.75 by 4.75 and divide 124 by 4.75
x=26.1
490 x 2/5 = 980/5 = 196 girls at Garland
945 x 5/7 = 4725/7 = 675 girls at Bowood
Bowood has more girls:
675-196 = 479 more
