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Ending Amount = Beginning Amount * e^k*t
5 grams = 100 grams * e^-.00043 * years
We have to solve the equation for "years"
(You can find the formula here: http://www.1728.org/halflif2.htm
or you can just read the next line
time = natural log (bgng amt / endg amt) / k
time = natural log (100 / 5) / .00043
time = natural log (20) / .00043
time = 2.9957322736 / .00043
time =
<span>
<span>
<span>
6,967</span></span></span><span> years
</span>
We should double-check this.
First, we need the half-life
k = ln(.5) / half-life
half-life = <span>-.693147 / -.00043
half-life = 1,612 years
Now let's see how many half-lives that is:
</span><span>6,967 / 1,612 years = 4.2 half-lives
So basically, after 4 half-lives the mass should go from
100
50 1 half life
25</span><span><span> 2 half lives</span>
12.5 </span><span>3 half lives
</span> 6.25 <span>4 half lives</span>
6.25 is very close to 5 grams so we can assume we have calculated correctly.
299m + 261j > = 1000 (thats greater then or equal to)
The correct property of the quadratic parent function is given by:
B. Its vertex is at the origin.
<h3>What is the quadratic parent function?</h3>
The quadratic parent function is modeled by:
y = x².
It has the vertex at the origin and increases to the left and to the right, into quadrants I and II, forming a function that is graphed by a parabola.
Hence the correct option regarding a property of the quadratic parent function is given by:
B. Its vertex is at the origin.
More can be learned about the quadratic parent function at brainly.com/question/12980287
#SPJ1
Angle 1 and angle 2 are what are called alternate angles. Two opposite angles between parallel lines. this means they are equal to each other.
So we have an equation: 2x + 20 = 3x + 10
Subtract 2x and 10 from each side
We now have 10 = x, so we know what x is
now plug in x to angle 1: (2 x 10) + 20 = 40, so angle 1 = 40.