The given number is 0.555 which can be written as
As we see that after decimal, every next digit is 1/10 times of the current digit .
Therefore the statement , " the value of the 5 in the thousands place is ten times as great as the 5 in the hundredth place " is not correct .
Answer:
0
Step-by-step explanation:
slope = y2 - y1 / x2 - x1
(-2,5) (6,5)
5-5/-2-6
0 / -8
slope is 0
The answer is 40.
Steps:
1. Look at the tens place which has the number 4
2. Look at the number behind it
3. Since, the number is 3, you round down to 40
( if your number is less than 5, you round down)
For (2), start with the base case. When n = 2, we have
(n + 1)! = (2 + 1)! = 3! = 6
2ⁿ = 2² = 4
6 > 4, so the case of n = 2 is true.
Now assume the inequality holds for n = k, so that
(k + 1)! > 2ᵏ
Under this hypothesis, we want to show the inequality holds for n = k + 1. By definition of factorial, we have
((k + 1) + 1)! = (k + 2)! = (k + 2) (k + 1)!
Then by our hypothesis,
(k + 2) (k + 1)! > (k + 2) 2ᵏ = k•2ᵏ + 2ᵏ⁺¹
and k•2ᵏ ≥ 2•2² = 8, so
k•2ᵏ + 2ᵏ⁺¹ ≥ 8 + 2ᵏ⁺¹ > 2ᵏ⁺¹
which proves the claim.
Unfortunately, I can't help you with (3). Sorry!
