Answer:
450
Step-by-step explanation:
To find an area of the triangle, you must first multiply the base and the height.
The perimeter of a rectangle is found by multiplying the length by 2 and the width by 2 and adding them together.
P = 2L + 2W
Filling in the information given we can find the width:
16.8 = 2(3.6) + 2W
16.8 = 7.2 + 2W
2w = 16.8 - 7.2
2w = 9.6
w = 9.6 / 2
w = 4.8 in.
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:
The domain is y > 3
Step-by-step explanation:
y = 2⁻ˣ + 3
As x approaches -∞, y approaches ∞.
As x approaches ∞, y approaches 3.
So the range is y > 3, and there is an asymptote at y = 3.
Compared to the parent function y = 2ˣ, it is reflected over the y-axis and shifted up 3 units.
The false statement is "the domain is y > 3". Domain describes the possible values of x. Range describes the possible values of y.
Answer:
1/8
Step-by-step explanation: