Geometric sequence general form: a * r^n
For Greg, we are given the elimination of the medicine as a geometric nth term equation:
200 * (0.88)^t
The amount of medicine starts at 200 mg and every hour, decreases by 12%;
To compare the decrease in medicine in the body between the two, it is useful to get them in a common form;
So, using the data provided for Henry, we will also attempt to find a geometric nth term equation that will work if we can:
As a geometric sequence, the first term would be a and the second term would be ar where r = multiplier;
If we divide the second term by the first term, we will therefore get r, which is 0.94 for Henry;
We can check that the data for Henry can be represented as a geometric sequence by using the multiplier (r) to see if we can generate the third value of the data;
We do this like so:
282 * (0.94)^2 = 249.18 (correct to 2 d.p)
We can tell that the data for Henry is also a geometric sequence.
So now, we just look at the multiplier for Henry and we find that every hour, the medicine decreases by 6%, half of the rate of decrease for Greg.
The answer is therefore that <span>Henry's body eliminated the antibiotic at half of the rate at which Greg's body eliminated the antibiotic.</span>
Answer:
m∠B = 70.0° (nearest tenth)
Step-by-step explanation:
<u>Sine Rule for Angles</u>
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Given:
Substituting the given values into the formula to find m∠C:
Interior angles of a triangle sum to 180°
Therefore, m∠B = 70.0° (nearest tenth)
Answer:
Step-by-step explanation:
do dancers off C5
Answer:
7.04 trillion = 7.04 x 10¹²
Step-by-step explanation:
