Answer:
- <u>59.0891 g (rounded to 4 decimal places)</u>
Explanation:
<em>Half-life time</em> of a radioactive substance is the time for half of the substance to decay.
Thus, the amount of the radioactive substance that remains after a number n of half-lives is given by:
Where:
- A is the amount that remains of the substance after n half-lives have elapses, and
- A₀ is the starting amount of the substance.
In this problem, you have that the half-live for your sample (polonium-210) is 138 days and the number of days elapsed is 330 days. Thus, the number of half-lives elapsed is:
- 330 days / 138 days = 2.3913
Therefore, the amount of polonium-210 that will be left in 330 days is:
Given data:
The first equation is 3j +14=-5z.
The second equation is -10j=5z .
Add both the equations.

Substitute 2 for j in the first equation.

Thus, the value of j is 2 and z is -4.
1 is B
2 is C
3 is A
4 is E
It's a simple question if you use the graph. I recommend you plot the points, so hopefull you can see how i got the answers.
Answer: A
Step-by-step explanation: The question states that the change wasn't a positive one, it was a negative one as it states that the temperature changed an average of -2.250 Fahrenheit per hour. So, we multiply that by 3 to get -6.75. This is why A is correct.
Answer:
y = 
Step-by-step explanation:
Equation of a line has been given as,

Here, slope of the line = 
y-intercept = 
"If the two lines are parallel, there slopes will be equal"
By this property slope of the parallel line to the given line will be equal.
Therefore, slope 'm' = 
Since, slope intercept form of a line is,
y = mx + b
Therefore, equation of the parallel line will be,
y = 
Since, this line passes through a point (-6, 6),
6 = 
6 = 
b = 
b = 
b = 
Equation of the parallel line will be,
y = 