6.665 grams of the 13 grams remain after 8 hours.
<h3>How much of a 13 gram sample of iron-52 would remain after 8 hours?</h3>
The decay equation for the 13 grams of iron-52 is:
![N(t) = 13g*e^{(-ln(2)/8.3h)*t}}](https://tex.z-dn.net/?f=N%28t%29%20%3D%2013g%2Ae%5E%7B%28-ln%282%29%2F8.3h%29%2At%7D%7D)
Where N is the amount of iron-52, and t is the time in years.
Where we used the fact that the half-life is exactly 8.3 hours.
Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:
![N(8h) = 13g*e^{(-ln(2)/8.3h)*8h}} = 6.665g](https://tex.z-dn.net/?f=N%288h%29%20%3D%2013g%2Ae%5E%7B%28-ln%282%29%2F8.3h%29%2A8h%7D%7D%20%3D%206.665g)
So 6.665 grams of the 13 grams remain after 8 hours.
If you want to learn more about half-life:
brainly.com/question/11152793
#SPJ1
Answer:
AngleWUT =38°, option 2
Step-by-step explanation:
We have three rays passing through U. A ray is set extend in one direction with one fixed point.
We have UW ray bisecting VUT.As the ray bisects the angle between VUW and WUT would be same .
Given angles are (4x+6)° and (6x-10)°.
As these angles are equal
![4x+6=6x-10](https://tex.z-dn.net/?f=4x%2B6%3D6x-10)
![2x=16](https://tex.z-dn.net/?f=2x%3D16)
![x=8](https://tex.z-dn.net/?f=x%3D8)
AngleWUT = (6x – 10)°
and x is 8 so on substituting AngleWUT =38°.
Answer: ![4x^{2}+80x-500=0](https://tex.z-dn.net/?f=4x%5E%7B2%7D%2B80x-500%3D0)
Step-by-step explanation:
1. You know that:
- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.
- The dimensions of the rectangular museum are: 30 ft by 10 ft.
- The combined area of the display and the roped-off area is 800 ft².
2. The area of the rectangular museum can be calculated with:
![A=l*w](https://tex.z-dn.net/?f=A%3Dl%2Aw)
Where
is the lenght and
is the width.
You have that the lenght and the width in feet are:
![l=30\\w=10](https://tex.z-dn.net/?f=l%3D30%5C%5Cw%3D10)
3. Let's call
the width of the roped-off area. Then, the combined area is:
![A_c=l_c*w_c](https://tex.z-dn.net/?f=A_c%3Dl_c%2Aw_c)
Where
![A_c=800](https://tex.z-dn.net/?f=A_c%3D800)
![l_c=l+x+x=30+2x](https://tex.z-dn.net/?f=l_c%3Dl%2Bx%2Bx%3D30%2B2x)
![w_c=w+x+x=10+2x](https://tex.z-dn.net/?f=w_c%3Dw%2Bx%2Bx%3D10%2B2x)
4. Substitute values and simplify. Then:
![800=(30+2x)(10+2x)](https://tex.z-dn.net/?f=800%3D%2830%2B2x%29%2810%2B2x%29)
![800=300+60x+20x+4x^{2}\\4x^{2}+80x-500=0](https://tex.z-dn.net/?f=800%3D300%2B60x%2B20x%2B4x%5E%7B2%7D%5C%5C4x%5E%7B2%7D%2B80x-500%3D0)
Answer:
2/5
Step-by-step explanation:
5/5 = full job
3/5 = done
full job - done = remaining
5/5 job - 3/5 job
= 2/5 (remaining)
Answer:
The answer is (x,y)=(-3,-2)
Step-by-step explanation:
I used the comparison method because I dont know what type of method you needed, sorry. The methods I know would be: the Comparison Method (what I used), the Substitution Method, Elimination Method,Inverse Matrix Method, Cramer's Rule, and the Gauss-Jordan Method.
You can also rewrite this equation to 3x-y=-7 and x-y=-1.
I'm sorry, I dont know what kind of answer you're looking for. I really hope this helps.