Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
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After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.
5: 1/3 x 11/1 = 11/3 = 3 2/3
8: 3/4 x 10/1 = 30/4 = 15/2
The least common denominator of 1/6 and 7/9 is 18. Why? Well, we can start by listing the multiples of both denominators (the numbers on the bottom of the fractions) which are 6 and 9.
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90
By identifying the multiples of these numbers, we can see that the lowest multiple these integers have in common is 18. Because of this, the least common denominator of 1/6 and 7/9 is 18.
Your final answer: 18.
I believe the correct answer from the choices listed above is the fourth option. The factor of the expression given as <span>10x^2 − 19x^6 would be 1 only. None of the other choices would factor correctly the expression. Hope this answers the question. Have a nice day.</span>
The awnser is A. hope this helps
