Answer:
Time(t) = 11.61 hours (Rounded to two decimal place)
Step-by-step explanation:
Given: The antibiotic clarithromycin is eliminated from the body according to the formula:
......[1]
where;
A - Amount remaining in the body(in milligram)
t - time in hours after the drug reaches peak concentration.
Given: Amount of drug in the body is reduced to 100 milligrams.
then,
Substitute the value of A = 100 milligrams in [1] we get;
Divide both sides by 500 we get;
Simplify:
Taking logarithm both sides with base e, then we have;
[ Using 
]
or
[using value of 
]
then;
Simplify:
t ≈11.61 hours.
Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams
Answer:
1. I have simplified the first question:
2. I have found the parabola properties:
No beacuse 1/4 would be less that 1/2 it's common sense
The unit rate is -1/3.
In direct variation, y varies directly to x by a constant ratio k.
Its equation looks like this: y = kx ; where k stands for the constant ratio.
In the above equation. x = -3y, it should be converted to the proper equation. both sides must be transferred and its accompanying sign must be changed.
3y = -x
3y/3 = -x/3
y = (-1/3)x
where: y is the total value; -1/3 is the unit rate; and x is the number of units
Answer:
36 minutes
Step-by-step explanation:
Depth of the fjord = 1308 m
Rate at which the submersible dives = 35 meters/minute
Distance to the bottom of the fjord should be 48 m
Distance the submersible has to go underwater is 
Time is found by dividing the distance the submersible has to go underwater by rate at which the submersible dives
The time taken by the submersible to dive the required distance is 36 minutes.
