Answer:
-1 3/7
Step-by-step explanation:
![-1 \frac{3}{7}](https://tex.z-dn.net/?f=-1%20%5Cfrac%7B3%7D%7B7%7D%20)
2(x - 1) ≥ -12
x - 1 ≥ -6
x ≥ -5
Option 2 is not a way to represent the solution.
Answer:
The value of x would be 5
Step-by-step explanation:
(for future reference if you have questions like this it’s better to fill in numbers for x to be able to answer the question)
So you want to fill in x with a number. In this case in order for this equation to be right you fill x with 5.
So 5(5)+10=35
And to check your answer to make sure it’s right you would add the measure of angle R which is 55 to the measure of angle M which is 35.
55+35 is 90. Which makes your answer for x correct :) hopefully this makes sense.
Answer:
1. x=4+2y/3
2. x=3/4+y/2
Step-by-step explanation:
hope this helped :))
Answer:
The half life of the substance is approximately 346.6 years
Step-by-step explanation:
Recall that the half life of a substance is the time it takes for it to decay to half its initial value. That is, based on the formula:
![M(t)=700\,e^{-0.002\,t}](https://tex.z-dn.net/?f=M%28t%29%3D700%5C%2Ce%5E%7B-0.002%5C%2Ct%7D)
the time it takes for M(t) to reach half of its initial value "700 grams" as per the equation provided. That is 350 grams. So we set the equation that imposes this condition, and solve for the time needed making sure we use logarithms in the process in order to bring the exponents down for the solving:
![M(t)=700\,e^{-0.002\,t}\\350=700\,e^{-0.002\,t}\\\frac{350}{700} =e^{-0.002\,t}\\ \frac{1}{2}=e^{-0.002\,t}\\ln(\frac{1}{2})=-0.002\,t\\t=-\frac{ln(\frac{1}{2}) }{0.002} \\t=346.57\, years](https://tex.z-dn.net/?f=M%28t%29%3D700%5C%2Ce%5E%7B-0.002%5C%2Ct%7D%5C%5C350%3D700%5C%2Ce%5E%7B-0.002%5C%2Ct%7D%5C%5C%5Cfrac%7B350%7D%7B700%7D%20%3De%5E%7B-0.002%5C%2Ct%7D%5C%5C%20%5Cfrac%7B1%7D%7B2%7D%3De%5E%7B-0.002%5C%2Ct%7D%5C%5Cln%28%5Cfrac%7B1%7D%7B2%7D%29%3D-0.002%5C%2Ct%5C%5Ct%3D-%5Cfrac%7Bln%28%5Cfrac%7B1%7D%7B2%7D%29%20%7D%7B0.002%7D%20%5C%5Ct%3D346.57%5C%2C%20years)
which can be rounded to about 346.6 years