Since it's a cube all the side lengths are the same. So the calculation would be 6.1x6.1x6.1 or 6.1^3
V=226.981cm^3
V=Length x width x heigh
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The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>
The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.
i.e.
By factorization, we have:
Now, to get exactly 30 divisor.
- (p+2)² requires to give us 15 factors.
Therefore, we can have an equation p + 2 = p₁ × p₂²
where:
- p₁ and p₂ relate to different values of odd prime numbers.
So, for the least values of p + 2, Let us assume that:
p + 2 = 5 × 3²
p + 2 = 5 × 9
p + 2 = 45
p = 45 - 2
p = 43
Therefore, we can conclude that the smallest prime number p such that
p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
Learn more about prime numbers here:
brainly.com/question/145452
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8:14 is ratio to red to all apples
8:6 is the ratio to green apples
X < = -3
y > = 0
x < = 4.....but all the shading is not here....
I wanna say A is correct....but if A is correct, there would be more shading in ur graph...but it is the closest
You would eat 3/10 of the box because 3/4 times 2/5 is 3/10. Whenever you see the word "of" it means multiplication.
