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.
<span>The ratio of 3 to 4 can be written in all the following ways except 4/3. </span>
Answer:
5feet
Step-by-step explanation:
1 foot= 12 inches
1 inches = 1/12 feet
60 inches= 60x1/12= 5 feet
First we rewrite the functions:
y = 2x
y = x ^ 10
We note that the second function always has values of y greater than the first function. However, there is a value of x for which the first function is greater.
For x = 1 we have:
y = 2 (1) = 2
y = (1) ^ 10 = 1
We note that:
2> 1
Answer:
Yes, the value of function y = 2x eventually exceed the value of function y = x ^ 10.
Answer:
C=5
Step-by-step explanation:
3^ + 4^2 = 25
and the square root of 25 is 5 therefore C=5
