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:
135x^3 + 3x^2 - 46x + 8.
Step-by-step explanation:
(5x-1)(3x+2)(9x-4)
= (5x - 1)(27x^2 + 18x - 12x - 8)
= (5x - 1)(27x^2 + 6x - 8)
= 5x(27x^2 + 6x - 8) - 1(27x^2 + 6x - 8)
= 135x^3 + 30x^2 - 40x - 27x^2 - 6x + 8
= 135x^3 + 3x^2 - 46x + 8.
Answer:
81m²
Step-by-step explanation:
I took the quiz :)
Answer:
the coefficient c is -27
Step-by-step explanation:
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hope this helps
