4^-3
You first need to make the exponent positive. To do this put it in a fraction.
1/4^3
Now solve the exponent.
4 * 4 * 4 =
^
16*4 = 64
1/64 is your answer
Answer:
x^4-3x^3+x^2-4
Step-by-step explanation:
Given the following functions
R(x) = 2x^4 – 3x^3 + 2x – 1 and
C(x) = x^4 – x^2 + 2x + 3
We are to find the profit function P(x)
P(x) = R(x) - C(x)
P(x) = 2x^4 – 3x^3 + 2x – 1 - ( x^4 – x^2 + 2x + 3)
P(x) = 2x^4 – 3x^3 + 2x – 1 - x^4 + x^2 - 2x - 3
Collect the like terms
P(x) = 2x^4-x^4-3x^3+x^2+2x-2x-1-3
P(x) = x^4-3x^3+x^2+0-4
P(x) = x^4-3x^3+x^2-4
Hence the required profit function P(x) is x^4-3x^3+x^2-4
Using the Euler's formula, the number of segments in the pentagonal prism is: 15.
<h3>What is the Euler's Formula?</h3>
The Euler's formula is given as, F + V = E + 2, where:
- F = number of faces (number of regions)
- V = vertices
- E = number of edges (number of segments).
Given that the pentagonal prism has the following dimensions:
- F = 7
- V = 10
- E = number of segments = ?
Plug in the values into the Euler's formula, F + V = E + 2:
7 + 10 = E + 2
17 - 2 = E
E = 15
Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.
Learn more about the Euler's formula on:
brainly.com/question/1178790
<h2>h = 14</h2>
Step-by-step explanation:
<h3>= 17 + x/6</h3><h3>= 17 + (-18)/6 ----( x = -18)---(given)</h3><h3>= (102 - 18) ÷ 6</h3><h3>= 84 ÷ 6</h3><h3>= 14</h3>
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