
Step by Step Explanation:
- Evaluate the power: Any non-zero expression raised to the power of 0 equals 1
- Simplify: Simplify the expression
- Calculate the product: Any expression multiplied by 1 remains the same.
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Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
Whats the question? or any specific information
Answer:

Step-by-step explanation:
According to PYTHAGORAS Theorem,
let the Hypotenuse be x

Answer:
for every 1000 people, the maximum noise level goes up by 1.5