Answer:
Step-by-step explanation:
You go in order from MNOP, and you count the negatives and the positives and add them all together. I did that for you. But now add the negatives and positives, think of a number line, left of zero is negatives and right of zero is positive.(like I show in the second picture) make sense?
Answer:
yes you can
apart from getting rid of the denominator you can collect like terms
Step-by-step explanation:
d=6-3/5
6=30/5
30/5-3/5
27/5
d=27/5
(1.6x + 3.25) + (0.3x + 0.5)
combine like terms
1.6x+.3x +3.25 +.5
Result:
1.9 x + 3.75
The answer might be 4 meters.
Hope this helps !
Photon
Answer:
3.12 kg.
Step-by-step explanation:
Mass after t years:
The mass of the elements after t years is given by the following equation:
![M(t) = M(0)(1-r)^t](https://tex.z-dn.net/?f=M%28t%29%20%3D%20M%280%29%281-r%29%5Et)
In which M(0) is the initial mass and r is the decay rate, as a decimal.
The half life of Cs-137 is 30.2 years.
This means that:
![M(30.2) = 0.5M(0)](https://tex.z-dn.net/?f=M%2830.2%29%20%3D%200.5M%280%29)
We use this to find r.
![M(t) = M(0)(1-r)^t](https://tex.z-dn.net/?f=M%28t%29%20%3D%20M%280%29%281-r%29%5Et)
![0.5 = M(0)(1-r)^{30.2}](https://tex.z-dn.net/?f=0.5%20%3D%20M%280%29%281-r%29%5E%7B30.2%7D)
![(1-r)^{30.2} = 0.5](https://tex.z-dn.net/?f=%281-r%29%5E%7B30.2%7D%20%3D%200.5)
![\sqrt[30.2]{(1-r)^{30.2}} = \sqrt[30.2]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B30.2%5D%7B%281-r%29%5E%7B30.2%7D%7D%20%3D%20%5Csqrt%5B30.2%5D%7B0.5%7D)
![1 - r = 0.5^{\frac{1}{30.2}}](https://tex.z-dn.net/?f=1%20-%20r%20%3D%200.5%5E%7B%5Cfrac%7B1%7D%7B30.2%7D%7D)
![1 - r = 0.9773](https://tex.z-dn.net/?f=1%20-%20r%20%3D%200.9773)
So
![M(t) = M(0)(0.9773)^{t}](https://tex.z-dn.net/?f=M%28t%29%20%3D%20M%280%29%280.9773%29%5E%7Bt%7D)
If the initial mass of the sample is 100kg, how much will remain after 151 years?
This is M(151), with M(0) = 100. So
![M(t) = 100(0.9773)^{t}](https://tex.z-dn.net/?f=M%28t%29%20%3D%20100%280.9773%29%5E%7Bt%7D)
![M(151) = 100(0.9773)^{151} = 3.12](https://tex.z-dn.net/?f=M%28151%29%20%3D%20100%280.9773%29%5E%7B151%7D%20%3D%203.12)
The answer is 3.12 kg.