The girl will have walked 20,000 meters or 20 km
Applying exponential properties, the simplified base for the function is given as follows:

<h3>What is the function?</h3>
The function is represented by the following definition:
![f(x) = 2\sqrt[3]{27^{2x}}](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5Csqrt%5B3%5D%7B27%5E%7B2x%7D%7D)
As an exponent, the function is given by:

27 can be simplified as follows:
27 = 3 x 3 x 3 = 3³
Hence:

Then, the 3 at the exponent multiplies 2x and can be simplified with the 3 of the root, hence:

Hence the simplified base for the function is given as follows:

More can be learned about exponential properties at brainly.com/question/25263760
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Answer:

Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Where m the slope of the line and b the y-intercept.
When two points are given, it's convenient to calculate the slope first.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

The points are (3,5) and (-2,1):

The equation is now:

To calculate b, we use any of the given points and solve for b. Use (3,5):

Operate:

Solve:

The required equation of the line is:

Answer:
try one try one try one try one
The total amount of tax on her purchases to the nearest cent will be $9.97
<em><u>Explanation</u></em>
Marcella Heinz purchased office supplies for $107.64 and then she purchased an English-Spanish dictionary for $16.95
So, the total amount of her purchases 
On the total amount of the purchases, she paid state sales tax of 7.5% and the county tax of 0.5%
So, the <u>amount of the state sales tax</u> 
and the <u>amount of county tax</u> 
Thus, the total amount of tax on her purchases
<em>(Rounded to the nearest cent)</em>