<u>Answer-</u> 0.05 lit of propane fuel will your friend need in order to boil 10 cups of water.
<u>Solution- </u>
The more efficient the stove is ,less the fuel you need to burn.
so efficiency and amount of fuel needed are inversely proportional with each other.
Given
Your stove is 25 percent = 0.25 efficient ,will boil 10 cups of water, using 0.1 lit of fuel .
0.25 × 2 = 0.5 =50 percent efficient stove ,will boil 10 cups of water, using 0.1/2 = 0.05 lit of fuel.
(∵ As multipling a factor of 2 with efficiency will make the amount of fuel needed half.)
Answer:
C.
Step-by-step explanation:
G(x) exceeds f(x) from x = 0 to x = 3.
Then we see that f(x) is 11 at x = 4 and g(x) is 10 at x = 4, so there is an intersection between these 2 points.
After this f(x) far exceeds g(x).
Answer:
Answer in order, 12,14, (4,3), x2, 4, 12, 3
Step-by-step explanation:
<u><em>PLEASE MARK BRAINLIEST</em></u>
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!
