Answer:
The equation of the parallel line would be y = 2x + 5
Step-by-step explanation:
To start we need to find the slope of the original line. We can do that by looking at the coefficient of x, which is 2
Since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. Now we can use that along with the point given in point-slope form to get the find equation.
y - y1 = m(x - x1)
y - 1 = 2(x + 2)
y - 1 = 2x + 4
y = 2x + 5
Answer:
C.
Step-by-step explanation:
add up all of the angles correct ft im not sure but i think its C.
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.
Answer:
Thx 4 the points have a good day
:)
There are 12 months in a year so if he pays every 4 months, he pays 3 times a year or $522 in total for a year (174 x 3 = 522). If he has pays that for three years it would be $1,566 (522 x 3).