Answer:
The correct option is A.
Explanation:
The number of bacteria in an experiment can be represented by an exponential function
where, x represents the number of hours.
We need to find the value of x when f(x)=64.
Substitute f(x)=64 in the given function.
It can be rewritten as
On comparing both sides by get
The value of x is 3.
Since f(3)=64 it means the population of bacteria is 64 in 3rd hour.
Therefore the correct option is A.
Answer:
2.447 × 10⁴ years
Explanation:
Step 1: Given data
- Half-life of the radioactive atom (t1/2): 3,500 years
- Parent-daughter ratio ([A]/[A]₀): 1:127 (1/127)
Step 2: Calculate the rate constant
Radioactive decay follows first-order kinetics. We can calculate the rate constant (k) using the following equation.
k = ln2 / (t1/2) = ln2 / 3,500 y = 1.980 × 10⁻⁴ y⁻¹
Step 3: Calculate the time elapsed (t)
For first-order kinetics, we will use the following expression.
ln ([A]/[A]₀) = -k × t
t = ln ([A]/[A]₀)/ (-k)
t = ln (1/127) / (1.980 × 10⁻⁴ y⁻¹) = 2.447 × 10⁴ y
The most probable genotype to produce the offspring of 8 black and white and 3 brown and white would be <span>BB x bb.</span>
