Answer:
65 ft by 39 ft
Step-by-step explanation:
Let x ft be the length of each part and y ft be the width of each part. The total perimeter of all 5 parts is
The length of the large rectangle is 5y ft and the width of the large rectangle is x, so the total area is
From the first equation,
Substitute it into the area expression:
Find the derivative:
Equate it to 0:
Then
1/2 multiplied by 2 both denominator and the numerator of 1/2 then you get 2/4.
Answer:
Step-by-step explanation:
16>-2x
-2x<16
x>-8
Answer:
268 mg
Step-by-step explanation:
Let A₀ = the original amount of caffeine
The amount remaining after one half-life is ½A₀.
After two half-lives, the amount remaining is ½ ×½A₀ = (½)²A₀.
After three half-lives, the amount remaining is ½ ×(½)²A₀ = (½)³A₀.
We can write a general formula for the amount remaining:
A =A₀(½)ⁿ
where n is the number of half-lives
.
n = t/t_½
Data:
A₀ = 800 mg
t₁ = 10 a.m.
t₂ = 7 p.m.
t_½ = 5.7 h
Calculations:
(a) Calculate t
t = t₂ - t₁ = 7 p.m. - 10 a.m. = 19:00 - 10:00 = 9:00 = 9.00 h
(b) Calculate n
n = 9.00/5.7 = 1.58
(b) Calculate A
A = 800 × (½)^1.58 = 800 × 0.334 = 268 mg
You will still have 268 mg of caffeine in your body at 10 p.m.
Answer:
i think the answer would be 1/6 hope this helps!
