4, there is 3 radii OA, OC and OB
2nd choice
5. there is one chord BC
first choice
6. 3 central angles:
AOC, AOB, BOC
first choice
Answer:
5 hours
Step-by-step explanation:
6:10 - 1:10 = 5
Well since we can use a base of 1 we know that 1 - 45 is less than 4 but -1 + 45 is not, which follows the assumption that x>0, but now we need to know what x is less than to fit the inequality. If we use 5 as a trial we can see that 5 - 9 = -4 so 0<x<5 is your answer. Hope this helps I basically used trial and error. If you want to check try 3 or 4 for x and it will work but 6 will not.
(how many more needed) divided by (how many innings left)
17-6=11
4 left
11/4=2.75
needs to score 2.75 per inning (even though you can't score 0.75 point)
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.
