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BARSIC [14]
3 years ago
7

The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of

the prism? (Show all steps.)
Mathematics
1 answer:
EastWind [94]3 years ago
8 0
If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / <span>3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
</span>s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is <span>n² + 4n + 4.</span>
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property of real numbers that states that the order in which numbers are added or multiplied dose not change the value​
timurjin [86]

Answer:

"Commutative property of addition and of multiplication"

Step-by-step explanation:

This is the "commutative property" of addition and of multiplication. That as its name indicates tells us for additions, that if we add A + B, or B + A, we should get the same result. Similarly, the "commutative property" of multiplication tells us that if we perform the product A * B we should get the same answer as if we perform the product: B * A.

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yuradex [85]
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3 years ago
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ipn [44]
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Now the numbers are:
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Number of black chips = 6
Total number of chips = 3 + 6 =
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p(white chip followed by white chip) = 2/5 * 1/3 = 2/15
4 0
3 years ago
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To find the probability, you need to divide the amount of red marbles by the total amount of marbles. 

1/10 = 0.1. 

The probability of choosing a red marble is 0.1, or 10%
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