Answer:
8923 years
Step-by-step explanation:
Half life of C-14 = 5730yrs
decay rate= 34%
Halt life (t^1/2) = (ln2) / k
5730 = (ln2) /k
k = (ln2) / 5730
k = 1.209 * 10^-4
For first order reaction in radioactivity,
ln(initial amount) = -kt
ln(34/100) = -(1.209*10^-4)t
-1.0788 = -(1.209*10^-4)t
t = -1.7088/ -1.209*10^-4
t = 8923 years
Answer:
Step-by-step explanation:
<u>We know that:</u>
- Samantha = 15 + 2x
- Matt = 3 + 4x
- Samantha = Matt
- [x = Number of hours]
<u>Solution:</u>
- 15 + 2x = 3 + 4x
- => 15 - 3 = -2x + 4x
- => 12 = 2x
- => x = 6
Hence, after 6 hours of work, Samantha and Matt will have the same amount.
X and y are the numbers
x>y
diffference is 42
x-y=42
larger is 3 less than 6 times smaller
x=-3+6y
subsitute -3+6y for x
x-y=42
-3+6y-y=42
-3+5y=42
add3 to both sides
5y=45
divide both sides by 5
y=9
sub back
x=-3+6y
x=-3+6(9)
x=-3+54
x=51
the numbers are 51 and 9
Answer:
75% probability
Step-by-step explanation:
calculating the total ratio and percentage
Answer:
36cm
Step-by-step explanation:
