Answer:
Approximately 3 grams left.
Step-by-step explanation:
We will utilize the standard form of an exponential function, given by:
In the case of half-life, our rate <em>r</em> will be 1/2. This is because 1/2 or 50% will be left after <em>t </em>half-lives.
Our initial amount <em>a </em>is 185 grams.
So, by substitution, we have:
Where <em>f(t)</em> denotes the amount of grams left after <em>t</em> half-lives.
We want to find the amount left after 6 half-lives. Therefore, <em>t </em>= 6. Then using our function, we acquire:
Evaluate:
So, after six half-lives, there will be approximately 3 grams left.
A cuboid has 8 vertices and 12 edges
Answer:
When given a percentage of growth or decay, determined the growth/decay factor by adding or subtracting the percent, as a decimal, from 1. In general if r represents the growth or decay factor as a decimal then: b = 1 - r Decay Factor. b = 1 + r Growth Factor. A decay of 20% is a decay factor of 1 - 0.20 = 0.
Step-by-step explanation:
Answer:
Let us say x is a real number and z = a + ib is complex
|x| > 0
|z| = |a + ib| = square-root (a^2 + b^2)
Step-by-step explanation:
|x| > 0 the absolute value of a real number is a nonnegative real number
The |a + ib| = square-root of the sum of the squares of the real components of the complex number
Answer:
Step-by-step explanation:
The 5th term of the arithmetic sequence is 53. We can write the equation:
The 6th term of the arithmetic sequence is 62. We can write the equation:
Subtract the first equation from the second one to get:
The first term is
The 38th term of the sequence is given by:
