Explanation

To find the cube root of 0.000126:

0.000126 = 126/1,000,000

Cube root of (126/1,000,000) = (6/100) = 0.06

So, the cube root of 0.000126 is 0.06.

Explanation

The quadratic equation whose roots are reciprocal of:

2x2 + 5x + 3 = 0 can be obtained by replacing x by 1/x.

Hence, 2(1/x)2 + 5(1/x) + 3 = 0

=> 3x^2 + 5x + 2 = 0

Explanation

Explanation

Explanation

Since the population growth is exponential, the population P can be modeled as:

P = P0 x (1 + r)^t

where P0 is the initial population, r is the growth rate, and t is the time (in years).

Given that the initial population P0 = 20 and the population grew to 25 after 2 years, we can find the growth rate r:

25 = 20 x (1 + r)^2

Dividing both sides by 20:

1.25 = (1 + r)^2

Taking the square root:

1 + r = √1.25 = 1.125

Subtracting 1 from both sides:

r = 0.125

Now we can write the exponential growth function:

P = 20 x (1 + 0.125)^t

P = 20 x (1.25)^t