What are the domain, range, and asymptote of h(x) = (0.5)x – 9?
1 answer:
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Answer: Option A
The median is the same as the _ Second quartile_.
Step-by-step explanation:
Given a series of data ordered from least to greatest, the median is the value that is in the center.
That is, the median represents the value that divides 50% of the data.
In the same way, the first quartile is the value that divides 25% of the data and the third quartile
is the value that divides 75% of the data.
The second quartile is the number that divides 50% of the data.
Then notice that the second quartile is equal to the median
Then te answer is the option A.
Answer:
a) The half life of the substance is 22.76 years.
b) 5.34 years for the sample to decay to 85% of its original amount
Step-by-step explanation:
The amount of the radioactive substance after t years is modeled by the following equation:
In which P(0) is the initial amount and r is the decay rate.
A sample of a radioactive substance decayed to 97% of its original amount after a year.
This means that:
Then
So
(a) What is the half-life of the substance?
This is t for which P(t) = 0.5P(0). So
The half life of the substance is 22.76 years.
(b) How long would it take the sample to decay to 85% of its original amount?
This is t for which P(t) = 0.85P(0). So
5.34 years for the sample to decay to 85% of its original amount