Answer:
Step-by-step explanation:
We need at least two points to write the equation of a straight line.
The recursive formula that Elijah wrote is:
When we substitute n=0, we get:
The points (0,30) and (1,37) lies on this line.
The equation of this line is of the form:
where b =30 is the y-intercept and m=7 is the slope.
We plug in these values to get:
Note that the slope of the line is equal to the common difference of the Arithmetic Sequence.
You could also use the two points to find the slope:
Answer:
6
Step-by-step explanation:
Seeing that the two students are running aside from
each other. We can add the speeds together.
We can also subtract 10 feet from our goal of 1870
they are already feet apart.
1870ft / (150+1650) ft per min
we are left with our answer 6
Hope this helps!
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:
