The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.
So, we can make the equation . We need to find b, and put b in.
To find b, put in the numbers of y and x.
Solve for b:
Now replace b in the original equation with 12 and that will be the answer:
The answer is .
Answer:
(a) The 5-hour decay factor is 0.5042.
(b) The 1-hour decay factor is 0.8720.
(c) The amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.
Step-by-step explanation:
The amount of caffeine in Chase's body decreases exponentially.
The 10-hour decay factor for the number of mg of caffeine is 0.2542.
The 1-hour decay factor is:
(a)
Compute the 5-hour decay factor as follows:
Thus, the 5-hour decay factor is 0.5042.
(b)
The 1-hour decay factor is:
Thus, the 1-hour decay factor is 0.8720.
(c)
The equation to compute the amount of caffeine in Chase's body is:
A = Initial amount × (0.8720)<em>ⁿ</em>
It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.
Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:
Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.
Answer:
The volume of the water in the tank is 112 m³
Step-by-step explanation:
The volume of the rectangular prism V = L × W × H, where
∵ A rectangular tank has a length of 4 m, a width of 12 m, and
a height of 3.5 m
∴ L = 4 m
∴ W = 12 m
∴ H = 3.5 m
∵ V = L × W × H
∴ The volume of the tank = 4 × 12 × 3.5
∴ The volume of the tank = 168 m³
∵ The tank is filled with water of its capacity
→ That means the volume of the water is the volume of the tank
∵ The volume of the water = the volume of the tank
∴ The volume of the water = × 168
∴ The volume of the water = 112 m³
∴ The volume of the water in the tank is 112 m³