Answer: Read below!
Step-by-step explanation:
You would want to start off by dividing 75 by 1,400. That will get you your answer.
Answer:
See below
Step-by-step explanation:
The square root of a number is defined as ![\pm y=\sqrt[2]{x}](https://tex.z-dn.net/?f=%5Cpm%20y%3D%5Csqrt%5B2%5D%7Bx%7D)
where 
gives the original number. For example, 
because 
and 
.
Answer:
5.5
Step-by-step explanation:
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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3.84/16 = 0.24 per tangerine
