Answer:
More than 50
Step-by-step explanation:
To solve, we need to first see that the function is h(n). Picking main points from the question statement:
- h(n) is the product of all even integers (From 2 to n)
- p is the smallest factor of h(100)+1
- h(100)+1 , here n=100
From here, we can write h(100) as:
h(100) = ![2 * 4 * 6 * 8 * ...... * 100](https://tex.z-dn.net/?f=2%20%2A%204%20%2A%206%20%2A%208%20%2A%20......%20%2A%20100)
h(100) =
= ![2^{50} * 50!](https://tex.z-dn.net/?f=2%5E%7B50%7D%20%2A%2050%21)
so,
h(100)+1 =![(2^{50} * 50! )+1](https://tex.z-dn.net/?f=%282%5E%7B50%7D%20%2A%2050%21%20%29%2B1)
Now two numbers,
h(100) and h(100)+1 are consecutive integers and since they are consecutive so they are co-prime. Hence they only have common factor of 1. Example, 13 and 14 have only common factor of 1
As h(100) has all prime numbers from 1 to 50 and according to above statement h(100)+1 won't have any prime factor from 1 to 50, so the smallest prime factor p is greater than 50.
Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90°, thus
∠A ∠B = 90 ← substitute values
5x - 27 + 4x - 27 = 90, that is
9x - 54 = 90 ( add 54 to both sides )
9x = 144 ( divide both sides by 9 )
x = 16
Hence
∠A = 5x - 27 = (5 × 16) - 27 = 80 - 27 = 53°
∠B = 4x - 27 = (4 × 16) - 27 = 64 - 27 = 37°
Answer:
OMG SAMMMMEEEEE :<
Step-by-step explanation:
Answer:
Mary and Felipe have an option agreement.
Step-by-step explanation:
Mary and Felipe have an agreement .They have agreement where they give purchaser the opinion that he can buy the asset at the particular date that he gave an agreed upon price.This is an option contract . A contract between buyer and seller.
So in this case Mary is selling her house . She is seller and she construct and agreement with Felipe.Felipe wants to have inheritance soon so wants to have buy it next month at that price.
Felipe is a buyer. He gives Mary $1,000 deposit in exchange for Mary's promise that he can buy the house next month at $100,000 if he gets his inheritance so it is an option contract .
Answer:an infinite number
Step-by-step explanation: