Answer:
Instructions are below.
Step-by-step explanation:
<u>To calculate the final amount if a given substance, we need to use the following formula:</u>
final amount= initial amount / (2^n)
n= elapsed time / half-life
For 20 years:
n= 20/10= 2
Final amount= 200/(2^2)
Final amount= 50 grams
For 60 years:
n= 60/10= 6
Final amount= 200/ (2^6)
Final amount= 3.125 grams
<u>To calculate the elapsed time it is more complicated:</u>
elapsed time= ln(ending amount/beginning amount) / (-decay constant)
ln= natural logarithm
decay constant= ln(2) / half-life
decay constant= 0.0693
elapsed time= ln(1.03/200) / (-0.0693)
elapsed time= 76.028
Prove:
n= 76.02/10= 7.602
Final amount= 200/(2^7.602)= 1.03 grams
Answer:
star fish 11/20 ell 4/20 urchins 5/20
Step-by-step explanation:
Answer:
Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation:
Answer:
The sum of the angles in any triangle is 180 degrees. If one of the three angles is 90 degrees (a right angle) the the sum of the other two angles is 90 degrees. Therefore each of the other two angles must be acute.
The statement is TRUE.
Step-by-step explanation:
