Answer:
Option B
Step-by-step explanation:
Don't trust answers teachers don't bother to spell correctly. Plus, finding the 100th term is very easy.
However, the explicit formula will take a long time to use, because it's explicit.
Option C is just wrong. You're supposed to multiply in the recursive formula.
Option D might be correct, but never trust those answers. Teachers do that to trip you up
0.625 which is approximately equal to 0.63 is 5/8 in decimal form.
Answer:
1. 1343 years
2. 9 hours
3. 39 years
Step-by-step explanation:
1. Given, half-life of carbon = 5730 years.
∴ λ = 0.693/half-life of carbon = 0.693/5730 = 0.000121
If N₀ = 100 then N = 85
Formula:- N = N₀*e^(-λt)
∴ 85 = 100 * e^(-0.000121t)
∴㏑(-0.85)=-0.000121t
∴ t = 1343 years
2. Given half-life of aspirin = 12 hours
λ = 0.693/12 = 0.5775
Also N₀ = 100 then 70 will disintegrate and N = 30 will remain disintegrated.
∴ 70 = 100 *e^(-0.05775t)
0.70 = e^(-0.05775t)
㏑(0.70) = -0.05775t
∴ t = 9 hours
3. The population of the birds as as A=A₀*e^(kt)
Given that the population of birds fell from 1400 from 1000, We are asked how much time it will take for the population to drop below 100, let that be x years.
The population is 1400 when f = 0, And it is 1000 when f = 5
We can write the following equation :
1400 = 1000e^(5t).
∴1400/1000 = e^(5k)
∴ k = ㏑(1.4)/5
We need to find x such that 1400/100 = e^(xk)
14 = e^(xk)
∴ x = 39 years
It should be the 3rd one but idk for sure. if its not then its the 3rd one
Answer:
x = 0
Step-by-step explanation:
6 - 2x = 6x - 10x + 6
1. Isolate the variable (x)
6 - 2x = 6x - 10x + 6 -> 6 = 6x - 10x + 2x + 6
- Subtract 6 from both sides
6x - 10x + 2x + 6 -> 0 = 6x - 10x + 2x
2. Combine like terms
0 = 6x - 10x + 2x -> 0 = -2x
3. Solve
0 = x
*Note: 0 divided by anything is 0 so 0/-2 is 0
(unless it is 0/0 which equals 1)
