Answer:
36.58
Step-by-step explanation:
38.3-1.72=36.58
The answer is 832,719.
842,719 - 10,000 = 832,719
Step-by-step explanation:
x + y = 9. => 2x + 2y = 18.
2x + 2y = 18
- (2x - 3y = -12)
=> 5y = 30, y = 6.
Therefore x + (6) = 9, x = 3.
The solution is x = 3 and y = 6.
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:
No.
If two rectangles are congruent, it means they are the exact same shape and size.
I have uploaded an image with this answer. In the image, you can see two rectangles with the same perimeter. However, they are not congruent because they are not of the same size (even though they are of the same shape - a rectangle).
Hence, two rectangles may not be congruent if they have the same perimeter.