A duck’s mass at birth was 0.05 kilogram. The duck gained approximately 0.042 kilograms each week.

To find the weekly mass of the duck, we can use the formula:

Weekly mass = Initial mass + (rate of gain x number of weeks)

Given that the initial mass is 0.05 kilograms and the rate of gain is 0.042 kilograms per week, let's find the weekly mass after one week:

Weekly mass after 1 week = 0.05 + (0.042 x 1)
= 0.05 + 0.042
= 0.092 kilograms

Therefore, after one week, the duck will weigh approximately 0.092 kilograms.