A nanometer (nm) is 10⁻⁹ m.
Therefore
10⁶ x 1 nm = 10⁶(10⁻⁹ m) = 10⁻³ m
By definition,
10⁻³ m = 1 mm (millimeter)
Answer: 1 millimeter
Answer:
Step-by-step explanation:
Given expression:
![\left[(-4)^5\right]^3](https://tex.z-dn.net/?f=%5Cleft%5B%28-4%29%5E5%5Cright%5D%5E3)
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.
