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>
4.67= 4 67/100
67 is a prime number, so the only fraction 67 hundredths can be represented by is 67/100.
Answer:
17.7
Step-by-step explanation:
angle B = 180 - 81 - 65 = 34 degrees
as the sum of all angles in any triangle is always 180 degrees.
a/sin(A) = b/sin(B) = c/sin(C)
the sides are always on the opposite side of the angle.
so,
10/sin(34) = AB/sin(81)
AB = 10×sin(81) / sin(34) = 17.7
Answer:
you will get 5 outcomes chooseing blue
Step-by-step explanation:
The number of combinations will be 6 for even numbers.
<h3>What is the combination?</h3>
The arrangement of the different things or numbers in a number of ways is called the combination.
Given that:-
- A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?
The total sample numbers are from 0 to 5 which are 0,1,2,3,4,5.
The even numbers are 0,2,4.
The combinations will be given by:-
C = 3!
C = 3 x 2 x1
C = 6
Therefore the number of combinations will be 6 for even numbers.
To know more about Combinations follow
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