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:
It helps form the right angle = FALSE
Step-by-step explanation:
The legs form the angle
3 inches long and 5.5 inches wide.....1 inch = 10 ft
3 inches = (3 * 10) = 30 ft long <==
5.5 inches = (5.5 * 10) = 55 ft wide <==
Answer:
E
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
8x + 15 is an external angle of the triangle, thus
8x + 15 = 3x + 20 + 4x + 5, that is
8x + 15 = 7x + 25 ( subtract 7x from both sides )
x + 15 = 25 ( subtract 15 from both sides )
x = 10
Thus none of them on the list → E