There are 10³×26³ = 17,576,000 possible different plates. If any of those is randomly chosen, the probability of picking one in particular is
... 1/17576000 ≈ 0.0000000569
Answer:
JK ≅ MN
Step-by-step explanation:
Given:
Side : JL ≅ MR
Angle: ∠J ≅ ∠M
Side Angle Side - Angle is inbetween tow sides. So JK ≅ MN
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
#SPJ1
Answer: 14 days
Step-by-step explanation:
Day 1: 1 minute snooze = 24 minutes
Day 2: 2 minute nooze = 23 minutes ; these examples show snooze time = days.
We can set up an equation for this situation: 25 - s = r ; where s = snooze time and r = time to get ready.
Given the problem, we can fill out this equation with: 25 - s = 11
When you solve this equation, time snoozed = 14.
We already know that snooze time = days, so days = 14.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
