3/4(2) + 1/4x = 4
1 1/2 + 1/4x = 4
-1 1/2 -1 1/2
1/4x = 2 1/2
----- ------
1/4 1/4
x= 10 laps
One way to test this is by using the equation for Ken on Maureen. Let's say in the first hour,
f(t) = 200(0.976)^1 = 195.2 mg
In the second hour,
f(t) = 200(0.976)^2 = 190.52 mg
In the third hour,
f(t) = 200(0.976)^3 = 186 mg
If you compare this with Maureen's data which is 150, 90 and 54 for the first, second and third hour, respectively, you will see that Maureen's rate is much faster. However, you cannot tell by what factor because the function is exponential, not a multiple. There is no constant difference between their rates. Therefore, we only know that Maureen's rate is much faster.
The answer is <span>Maureen's body eliminated the antibiotic faster than Ken's body.</span>
Answer:
5
Step-by-step explanation:
5
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
#SPJ1
Answer: -1.6 is not a possible r-value.
Step-by-step explanation:
R-values range from -1 to +1. Out of all these numbers, -1.6 does not belong. Hence, -1.6 is not a r-value.