The mass in grams of a radioactive substance is given by M(t) = 700e^-0.002t, where t is in years. what is the half life of the substance

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:

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:

which can be rounded to about 346.6 years

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: