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
The different ways that they can vote is given as 16 different ways.
<h3>How to calculate the ways that they can vote</h3>
The question say that there are a total of 4 members of the board. Out of these 4, we have the choices as yes or a no.
This tells us that each person only has 2 choices of what they want.
Hence given that the board members ar 4, we would have 2⁴
= 2 * 2 * 2 * 2
= 16
Hence the different ways that they can all vote is 16.
Read more on permutations and combinations here:
brainly.com/question/4658834
SPJ1
Answer:
114
Step-by-step explanation:
that's supplementary
Example:
If I give u a ratio of the number of teachers to students is 2:1 would mean that for every 2 teachers there is 1 student.
In question 10(a) the ratio of grey to black is 3:1 which means that the percentage would be 33%
In 10 (B) the ratio would be 6:4
Answer:115 apex
Step-by-step explanation:
