The solution to the set of equations is (0,2).
Reasoning:
m + 4n = 8 -> 0 + 4(2) = 8
m = n - 2 -> 0 = 2 - 2
Answer:
The number of half lives in 14000 years is 2.4258.
Step-by-step explanation:
Initial amount of carbon-14 =
Final amount of carbon-14= N
Half life of carbon-14 = 
Decay constant = k = 
Age of the sample = t = 14,000 years



Formula used for number of half lives

where,
N= amount of reactant left after n-half lives
= Initial amount of the reactant
n = number of half lives



Taking log both sides

n = 2.4258
The number of half lives in 14000 years is 2.4258.
Answer:
{-2/7, 2/7}
Step-by-step explanation:
Here you're being asked to solve the given equation 49w^2-4=0 for w with the hint that the solutions are fractions.
49w^2-4=0 is the product of the sum and difference of two squares:
(7w - 2)(7w + 2) = 0
Setting each factor equal to zero and solving for w, we get:
{-2/7, 2/7} as the solutions.
It’s 6, because each number is multiplied by 6 in the sequence. For instance, 1 times 6 is 6. 6 times 6 is 36. 36 times 6 is 216, and so on and so forth.