Answer:
a. 
b. 
Step-by-step explanation:
First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

The rate is negative as it represents the amount of caffeine leaving the body at certain time.
Answer:
Step-by-step explanation:
8 ft by 4 ft
8ft x 4ft = 32 ft
8ft + 8 ft = 16 ft 4 ft + 4 ft = 8 ft
16ft + 8 ft = 24 ft
The property shown is commutative multiplication. This property says that the product of two factors is not affected by the order in which they're multiplied. In this case, the product remains the same i.e., 2*8*5 = 80 while 2*5*8 <em>also </em>equals 80.
Answer:
13 1/2
Step-by-step explanation:
Just multiply 3.5 and 4.75
AKA
3 1/2 and 4 3/4
Change 1/2 into 2/4 so the denominators are the same
Multiply the numerators 2 and 3, you now have 6/4
3 × 4 = 12
6/4 is improper so, you need to simplify
now you have 1 1/2
Now 12 + 1 1/2 = 13 1/12
Answer:
(0.2)(38)
Step-by-step explanation:
To find a percent, you multiply the number (cost) by the decimal of the percent
20% as a decimal is .2