Answer: a - 4.512 hours
b - 1.94 hours
Step-by-step explanation:
Given,
a) A(t) = 10 (0.7)^t
To determine when 2mg is left in the body
We would have,
A(t) = 2, therefore
2 = 10(0.7)^t
0.7^t =2÷10
0.7^t = 0.2
Take the log of both sides,
Log (0.7)^t = log 0.2
t log 0.7 = log 0.2
t = log 0.2/ 0.7
t = 4.512 hours
Thus it will take 4.512 hours for 2mg to be left in the body.
b) Half life
Let A(t) = 1/2 A(0)
Thus,
1/2 A(0) = A(0)0.7^t
Divide both sides by A(0)
1/2 = 0.7^t
0.7^t = 0.5
Take log of both sides
Log 0.7^t = log 0.5
t log 0.7 = log 0.5
t = log 0.5/log 0.7
t = 1.94 hours
Therefore, the half life of the drug is 1.94 hours
Answer:
Each team has 8 players. That means that the x players will be separated into x / 8 teams.
Hope this helps!
Answer:
45 pieces
Step-by-step explanation:
30 divided by 2/3. Use KCF and you get 30/1 x 3/2
30/1 x 3/2= 90/2=45
Answer:
y = 2x - 3
Step-by-step explanation:
The slope intercept form of a linear equation is y = mx + b
We know that m = 2
We can plug in x and y values to find b
17 = 2(10) +b
b = 17 - 20
b = -3
Therefore,
y = 2x - 3
