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aksik [14]
3 years ago
12

What is 8777 divided by 456​

Mathematics
1 answer:
zimovet [89]3 years ago
8 0
Your answer is 19.25.
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Use strong mathematical induction to prove the existence part of the unique factorization of integers theorem (Theorem 4.4.5). I
valentina_108 [34]

Answer:

Lets say that P(n) is true if n is a prime or a product of prime numbers. We want to show that P(n) is true for all n > 1.

The base case is n=2. P(2) is true because 2 is prime.

Now lets use the inductive hypothesis. Lets take a number n > 2, and we will assume that P(k) is true for any integer k such that 1 < k < n. We want to show that P(n) is true. We may assume that n is not prime, otherwise, P(n) would be trivially true. Since n is not prime, there exist positive integers a,b greater than 1 such that a*b = n. Note that 1 < a < n and 1 < b < n, thus P(a) and P(b) are true. Therefore there exists primes p1, ...., pj and pj+1, ..., pl such that

p1*p2*...*pj = a

pj+1*pj+2*...*pl = b

As a result

n = a*b = (p1*......*pj)*(pj+1*....*pl) = p1*....*pj*....pl

Since we could write n as a product of primes, then P(n) is also true. For strong induction, we conclude than P(n) is true for all integers greater than 1.

5 0
3 years ago
Which statement compares the two numbers correctly?
Vsevolod [243]

Answer:

1

Step-by-step explanation:

6 0
3 years ago
How do u type negative one on here
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-1

Step-by-step explanation:

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3 years ago
a drawer contains 9 white paper clips, 5 green paper clips, and 6 red paper clips. One paper clip is selected at random. What is
tatyana61 [14]

Answer:

the answer should be 9/14

Step-by-step explanation:

you add them all up then subtract the red for your denominator

then just put the number of white on top for your numerator


6 0
3 years ago
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I have two question 1. What is 437.04 in expanded form 2.what is 3,543,21 in expanded form
Nikitich [7]
400+30+7. +0+4                              

3,000,000+500+40+3,000+2+1




3 0
3 years ago
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