This problem can be solved using the concepts of permutation.
Zzyzx is the word. It has five letters. It asked as to how many five-letter arrangements of the letters in the English alphabet follow Zzyzx alphabetically.
Take note: <span>alphabetically
</span>
The two remaining five-letter after Zzyzx are Zzyzy and Zzyzz.
The remaining arrangements are of the form Zzz _ _.
There are 26 × 26 = 676 ways to fill in the last two letters, so following Zzyzx alphabetically, there are 2 + 676 = 678 arrangements.
To find the total from the percent part you have, you divide the part by the percentage.
1.50÷0.05=30
The total is $30
The total the store charged, including sales tax, is $31.50.
The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is
.
Given
The magnitude, M, of an earthquake is defined to be M = log StartFraction I Over S EndFraction, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable.
<h3>The magnitude of an earthquake</h3>
The magnitude of an earthquake is a measure of the energy it releases.
For an earthquake with 1,000 times more intense than a standard earthquake.
The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is;

Hence, the equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is
.
To know more about the magnitude of earthquakes click the link given below.
brainly.com/question/1337665
Answer:
x=1/3
Step-by-step explanation:
A function f is given as
in the interval [0,1]
This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)
Hence mean value theorem applies for f in the given interval

The value

Find derivative for f

Equate this to -5 to check mean value theorem

We find that 1/3 lies inside the interval (0,1)