Answer:
12
Step-by-step explanation:
its direct proportion. 15 divided by 5 is 3 so you must multiply 3 by 4 to get the amount of people, which is 12
1/4 = 3/12, and 5/4 = 15/12, so it looks like there's a common difference between terms of 4/12 = 1/3. The the
-th term in the sequence is given recursively by

By substitution, we get


and doing this again and again until we stop with an expression containing
, we find that


Then the 12th term in the sequence is

Answer:

Step-by-step explanation:
The decay rate of a radioactive isotope (also called activity of the isotope) is given by:

where
r is the decay rate
k is the decay constant
N is the number of nuclei in the radioactive sample
The decay constant of a radioactive isotope is also related to the half-life of the isotope by the formula

where
is the half-life of the isotope, which is the time taken for the sample to halve, compared to its initial amount
In this problem, the half-life of plutioniun-239 is

Therefore, the k-factor (decay constant) is:

Answer:

Step-by-step explanation:
Given that:
Steve divided 5/8 of a box evenly among 5 bottles. To determine the amount of baking soda added;
Then, mathematically:


Answer:
the answer is negative two / x= -2