Answer:
9 minutes is the half life of the radioisotope.
Step-by-step explanation:
Given;
initial count rate = 7,600 counts per minute
final count rate = 1,900 counts per minute
elapsed time, t = 18 minutes
The half life of the radioisotope is calculated as;
Time (half life) --------------------------remaining count rate
0 ------------------------------7,600 counts per minute
x ------------------------------3,800 counts per minute
2x----------------------------- 1,900 counts per minute
thus, 2x = 18 minutes
x = 18 / 2
x = 9 minutes
Therefore, 9 minutes is the half life of the radioisotope.
<span>Luis has 5 cans of soda. He will buy more cans of soda from the store. The store has 12 cases in stock and each case contains 24 cans of soda. The store will not sell partial cases. The function that models the number of cans Luis will have after his purchase is f(c) = 24c + 5.
What is the practical domain and range of the function?
5 is the initial number of cans Luis has on hand. To this 5 we add 24 times c, where c represents the # of cases (not cans). Thus, if he buys 1 case, he will have 5+24(1), or 29, cans on hand.
c represents the number of cases he buys. He cannot buy a neg. number of cases, altho he could theoretically buy 0 cases by not going to the store.
Thus, the domain is {integers only, ranging from 1 to infinity}
The smallest number of cans this guy would have is 5, so the range is
{integers from 5 up}</span>
Answer:

Step-by-step explanation:
To find the rate of change of a function, we are looking for it's slope.
We can find the slope of a line by seeing it's rise over run.
Basically - how much the line's y increases divided by how much the line's x increases.
We can see that the y drops from 1 to -1 in 1 x value. This means the change in y is
, however in this case it is -2 as we are dropping.
The change in x is 1 .
This means that the slope (rate of change) is
.
Hope this helped!
Answer:
he makes $112.50
Step-by-step explanation:
first you have to find out how much he makes before tax is taken out. all you do is multiply 12.50 by 30, which gives you $375.00. then, you can either put in the calculator 30%375 or 0.3×375(both are the same thing) and you should get $112.50
Volume of cube = L^3
so, volume = 3^3 = 27 inch^3