Answer: 300/91
Step-by-step explanation:
1. Convert 4 1/3 to an improper fraction
13/3
2. Divide, using the keep, change, flip method to divide fractions
- Keep the first fraction the same (100/7)
- Change the division sign to a multiplication sign
- Flip the second fraction (13/3 -> 3/13)
3. Plug-in and evaluate
100/7 * 3/13
300/91
If you are looking for the solution as a mixed number, it is 3 27/91
4. Simplify, if applicable. This fraction cannot be simplified any further.
We are given the function:
g(n) =

We need to find what g(-3) equals.
What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.
g(-3) =

Remember back to the order of operations.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.
Negative exponents make fractions FLIP. So our fraction will look like this:

Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this:

)

We ARE NOT done! We still have this left:
g(-3) =

Multiplying by 3 you get the following:

So what does g(-3) equal? This right here:
431.2 is the answer to your question
The area of the shaded triangle formed as the result of the overlap is = 62.35 inches ²
<h3>Calculation of the equilateral triangle</h3>
After folding the rectangle with length of 12 inches and width of 18 inches, an equilateral triangle was formed.
An equilateral triangle is a type of triangle where by all the three sides are equal.
To determine the value of one of the sides, CB or CD is used because the folding didn't affect these sides.
Using the formula for the area of an equilateral triangle,
A = √¾ a²
a= 12 inches
A = √¾ ×12²
A = 62.35 inches ²
Learn more about triangle here:
brainly.com/question/1058720
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