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:
log₂(3) = 1.585 ≠ 1.5
Her thinking is not valid because the technique of average is valid only if the graph of the function is a straight line, but the graph of the log function is not a straight line.
Therefore the values cannot be taken by average
Step-by-step explanation:
Given:
log₂(2) = 1
log₂(4) = 2
To evaluate : log₂(3)
Now,
we know that
logₓ(y) = 
(Here the log has same base in the numerator and the denominator i.e 10)
therefore,
log₂(3) = 
also,
log(2) = 0.3010
log(3) = 0.4771
thus,
log₂(3) = 
or
log₂(3) = 1.585 ≠ 1.5
Her thinking is not valid because the technique of average is valid only if the graph of the function is a straight line, but the graph of the log function is not a straight line.
Therefore the values cannot be taken by average
Answer:
x = 47
2x+6 = 100 which is the angle measure
Step-by-step explanation:
The angles are vertical and vertical angles are equal
2x+6 = 100
Subtract 6 from each side
2x+6-6 =100-6
2x = 94
Divide by 2
2x/2 = 94/2
x =47
Now to find the measure of 2x+6
We know that it is equal to 100
so 2x+6 = 100
Answer:
A) no solution
Step-by-step explanation:
These lines are parallel. This means they never intersect; since the solution to a system of equations is the point or points of intersection, this means there is no solution to this system.
Answer:
126 
Step-by-step explanation:
