Answer: this is a trick question he doesn’t need any more money he has the amount he needs
Step-by-step explanation:
30-17.5
12.5, if he payed his brother 30$ because he owed him 17.5$ his brother would actually be the one that would end up owing Jamie 12.5
Answer:
T4 = -2°F
Step-by-step explanation:
Given the following data;
Current temperature = 10°F
Constant, K = 3°F
Time, t = 4 hours
In four (4) hours, we have;
T = kt
Substituting into the equation, we have;
T = 3 * 4
T = 12°F
T4 = current temp - new temp
T4 = 10°F - 12°F
T4 = -2°F
Therefore, the temperature it will be in 4 hours is - 2°F.
<span>Halves, thirds, fourths, sixths, eighths (e.g., 1/2, 1/3, 1/4, 1/6, 1/8) these are some answers </span>
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!
