Answer:
A
Step-by-step explanation:
Associative property:
(a+b)+c=a+(b+c)
(a*b)*c=a*(b*c)
Answer:
-19 5/6 > -20 1/6
-19 5/6 is greater than -20 1/6. The smaller the negative number, the greater it is compared to bigger negative numbers.
Given that
and ![f(n)=[f(n-1)]^2-n](https://tex.z-dn.net/?f=f%28n%29%3D%5Bf%28n-1%29%5D%5E2-n)
We need to determine the value of f(4)
To determine the value of f(4), we need to know the values of the previous terms f(2), f(3).
<u>The value of f(2):</u>
The value of f(2) can be determined by substituting n = 2 in the function ![f(n)=[f(n-1)]^2-n](https://tex.z-dn.net/?f=f%28n%29%3D%5Bf%28n-1%29%5D%5E2-n)
Thus, we get;
![f(2)=[f(2-1)]^2-2](https://tex.z-dn.net/?f=f%282%29%3D%5Bf%282-1%29%5D%5E2-2)
![f(2)=[f(1)]^2-2](https://tex.z-dn.net/?f=f%282%29%3D%5Bf%281%29%5D%5E2-2)


Thus, the value of f(2) is 2.
<u>The value of f(3):</u>
The value of f(3) can be determined by substituting n = 3 in the function ![f(n)=[f(n-1)]^2-n](https://tex.z-dn.net/?f=f%28n%29%3D%5Bf%28n-1%29%5D%5E2-n)
Thus, we get;
![f(3)=[f(3-1)]^2-3](https://tex.z-dn.net/?f=f%283%29%3D%5Bf%283-1%29%5D%5E2-3)
![f(3)=[f(2)]^2-3](https://tex.z-dn.net/?f=f%283%29%3D%5Bf%282%29%5D%5E2-3)


Thus, the value of f(3) is 1.
<u>The value of f(4):</u>
The value of f(4) can be determined by substituting n = 4 in the function ![f(n)=[f(n-1)]^2-n](https://tex.z-dn.net/?f=f%28n%29%3D%5Bf%28n-1%29%5D%5E2-n)
Thus, we get;
![f(4)=[f(4-1)]^2-4](https://tex.z-dn.net/?f=f%284%29%3D%5Bf%284-1%29%5D%5E2-4)
![f(4)=[f(3)]^2-4](https://tex.z-dn.net/?f=f%284%29%3D%5Bf%283%29%5D%5E2-4)


Thus, the value of f(4) is -3.
The amount of metal needed to make the metal stud for the costume is 12 unit²
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the meatal stud does not have a base, hence:
Amount of metal needed = sum of area of triangular faces = 4(1/2 * 2 * 3) = 12 unit²
The amount of metal needed to make the metal stud for the costume is 12 unit²
Find out more on equation at: brainly.com/question/2972832
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