We rewrite the equation:
y = y0 * e ^ (- 0.0002 * t)
In this equation:
I = represents the initial amount of the isotope
We have then:
89% of the isotope left:
0.89 * y0 = y0 * e ^ (- 0.0002 * t)
We clear the time:
e ^ (- 0.0002 * t) = 0.89
Ln (e ^ (- 0.0002 * t)) = Ln (0.89)
-0.0002 * t = Ln (0.89)
t = Ln (0.89) / (- 0.0002)
t = 582.6690813
round to the nearest year:
t = 583 years
Answer:
There will be 89% of the isotope left in about:
t = 583 years
Answer:
slope-intercept form: y=5x-3 point-slope form: y-7=5*(x-2)
Step-by-step explanation:
Y-y1=m(x-x1)
plug in the values and you get y=5x-3
Answer:

Step-by-step explanation:
Let be "s" the length in meters of the short piece and "l" the lenght in meters of the long piece.
Set up a system of equations:

Apply the Substitution Method to solve the system. Substitute the second equation into the first equation and solve for "l":

Susbstitute the value of "l" into the second equation in order to find the value of "s". This is:

<span><span>(5x+2)</span><span>(x+3)</span></span>
Explanation:
Find factors of <span>5and 6</span> whose products ADD to 17
It might take a bit of trial and error to find the correct combination of factors.
<span><span>........</span>5 and 6</span>
<span><span>.......</span>↓ ↓</span>
<span><span>........</span>5 2 →1×2=2</span>
<span><span>........</span>1 3 →5×3=<span>15<span>−−</span></span></span>
<span><span>...............................................</span><span>17</span></span>