Answer:
=18/20
Step-by-step explanation:
• 25 - 7 = 18
• 30 - 10 = 20
= 18/20
if u reduce = 9/10
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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The total number of leaves that was collected by Lisa is the product of the number of days in a week and the number of leaves she collected per tree. This is shown below, (7 trees / week) x (7 leaves / 1 tree) = 49 leaves / weekThus, Lisa collected 49 leaves in a week.
Answer:
2
Step-by-step explanation:
7x + 3 = 8x + 1
2 = x
these are geometry problems.
Answer:
25 two point shots
25 three point shots
2x+3y<100 is that the one missing the sign?
Step-by-step explanation:
25*2=50
25*3= 75
50+75= 125
2x+3y has to be over 100 points
so 2x+3y<100
