Answer:
center: P
Radius: 12cm
# of radii: 5
Diameter: 24cm
# of diameters: 2
Circumference: 75.36cm
Step-by-step explanation:
the center is labeled with the point p
radius is the distance from the center to the circumference of a circle
diameter is the distance from one point on a circle through the center to another point on the circle. (and twice the radius)
circumference is 2(pi)r
pi can be rounded to 3.14
Answer:
A,B,D,E,H
Step-by-step explanation:
First, write an expression.
The correct expression is n + 8.
Second, substitute 5.3 for the variable, n.
Third, simplify by adding 5.3 and 8.
The answer is 13.3.
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.
