Answer:
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Step-by-step explanation:
After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.
This means that the amount of caffeine after t hours is given by:

In which A(0) is the initial amount and k is the decay rate, as a decimal.
The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.
1 - 0.2722 = 0.7278, thus,
. We use this to find k.







Then

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?
We have to find find A(5), as a function of A(0). So


The decay factor is:
1 - 0.8531 = 0.1469
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Answer:
An eight-digit grid coordinate gives a precision to the nearest 10 meters
Step-by-step explanation:
Grid coordinates are meant to accurately direct to a specific location, using a map that comes with vertical and horizontal lines of equal spacing and numbers attached to each line to map out a location. The crossing vertical and horizontal lines have unique numbers and form small squares known as grid squares.
The more digits in the coordinate of a point the increase in precision an eight- digit gives a precision to the nearest 10 meters
3GB’s you just add 21 to 3 and keep adding 3 until you reach 30
21+3=24 24+3=27 27+3=30
Answer:
A. 50.24
Step-by-step explanation:
f(4) = 3.14 times 4²
f(4) = 3.14(16)
f(4) = 50.24
<h2><u><em>xoxo, </em></u></h2><h2><u><em>your highness...</em></u></h2>
We are going to denote the number of additional minutes with

, and the total cost of the call with

.
From PONCO, we know that they charge $1.25 for the first minute, and $0.30 for each additional minute; knowing that our additional minute is

and our total cost of the call is

, we can set up an equation to relate the values:

we are going to call this equation (1)
From CowBell, we know that they charge 1.40 for the first minute, and $0.25 for each additional minute. so just like before we can set up an equation to relate the values:

We are going to call this equation (2)
Since the total cost

of equations (1) and (2) is the same, we can equate them to find

:




We can conclude that after 3 additional minutes the cost of the calls will be the same; therefore, the correct answer is
B.