Keylei’s family recipe for sugar cookies requires 1 1/2 cups of sugar for a batch of 30 cookies. Calculate the amount of sugar s
1 answer:
You might be interested in
Answer:
The correct option is (c).
Step-by-step explanation:
The given expression is :
We need to use the associative property to make it easier.
The associative property for multiplication is as follows :
We have,
Hence, the correct option is (c).
If the radio active isotope has the half life of 24100 years, then the initial quantity is 2.16 grams
The half life in years = 24100
Consider the quantity of the radio active isotope remaining
y =
When t = 1000 the y = 1.2
y = C/2 when t = 1599
Substitute the values in the equation
C/2 =
Cancel the C in both side
1/2 =
Here we have to apply ln to eliminate the e terms
ln (1/2) = 24100k
k = ln(1/2) / 24100
k = -2.87× 10^-5
To find the initial value we have to substitute the value of k and y in the equation
1.2 = Ce^{1000 × -2.87× 10^-5}
C = 1.2 / e^(-0.0287)
C = 2.16 gram
Hence, the initial quantity of the radioactive isotope is 2.16 gram
Learn more about half life here
#SPJ4