A radioactive material is an element that is highly unstable due to its high neutron-to-proton ratio. Because of this, they spontaneously undergo nuclear reaction under nuclear fission releasing subparticles. The time it took to consume half of the original amount of the radioactive material is called the half-life.
The equation is <span>a2=ae^(−9.753t), where a2 is the concentration after time t and a is the original concentration. The ratio of a2/a should be 0.5/1 or 1/2. Therefore,
a2/a = e^(-9.753t)
0.5 = e^(-9.753t)
ln(0.5) = lne^(-9.753t)
ln(0.5) = -9.753t
t = 0.071 days or 1.7 hours.
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Hello from MrBillDoesMath!
Answer:
- 8064 x^5 y^5
Discussion:
The binomial theorem gives us the expansion of (a + b) ^n :
(a + b ) ^n
= a^n + na^(n-1)b + (n(n-1)/ 2!) a^(n-2)b^2 +....
In our case, taking the 6th term above, setting a = 2x, b = -y, and n = 10 gives
( (10*9*8*7*6)/ (5 *4*3*2*1) ) * (2x)^5 (-y)^5r
= - 8064 x^5 y^5
Thank you,
MrB
Answer:
57.2 units^2
Step-by-step explanation:
The coordinates provided form a parallelogram, not a rectangle. See the attached image for a diagram of EFGH. The area of a parallelogram is given by:
Area = (Base) x (Height)
The attachment explains an approach of using right triangles to find the base and height of the parallelogram.
I'm not confident this was the best approach, so I hope someone would comment if a simpler solution is available.
Answer:
-1.28 AND 2.61
Step-by-step explanation:
use quadratic formula
x = 
x = 
Solution/X-Intercepts: -1.28 AND 2.61
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>✌</em>
