Answer:
3
Step-by-step explanation:
the answer is 3 because pedmas so the first is in the parentheses so we subtract 4 and 5 which is -1 so -1 times -3=3
Answer:
D
Step-by-step explanation:
9(3)^-4
3^2 × (3^-4)
in algebraic expression a^n × a^m = a^n+m
3^2+(-4)
3^-2
but 3^-2 = 1/3²
1/3²= 1/9
Answer:12
Step-by-step explanation:
The range is simply the highest number minus the smallest number. Since we are told that 2 members of the family have shoe size of 7 and the range is 5, then Melissa shoes size will be:
= 5 + 7
= 12
Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>Ordered pairs </u>
- (12, 6), (3, 1), (2,-2), (5, 10), (-8, -4) (_,_)
<h3>To find</h3>
<h3>Solution</h3>
Since it is a function, the missing pair can't repeat input values with different output, therefore only option D is unique so is the correct choice
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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