Let's solve the problem step-by-step.
1. Understanding the problem: We are given two pieces of information about an aquifer:
- It receives [tex]\(40\)[/tex] cubic meters ([tex]\(m^3\)[/tex]) of precipitation.
- It loses [tex]\(10\)[/tex] cubic meters ([tex]\(m^3\)[/tex]) of water through natural movement.
2. Objective: We need to determine how much water can be pumped from the aquifer to balance the water budget.
3. Key idea: To balance the water budget, we need to ensure that the amount of water pumped equals the surplus of water in the aquifer after considering the losses.
4. Calculation:
- The total volume of water received by the aquifer: [tex]\(40\)[/tex] cubic meters.
- The volume of water lost through natural movement: [tex]\(10\)[/tex] cubic meters.
- The difference between the water received and the water lost is:
[tex]\[
40 \, m^3 - 10 \, m^3 = 30 \, m^3
\][/tex]
5. Conclusion: The amount of water that can be pumped from the aquifer to balance the budget is [tex]\(30\)[/tex] cubic meters.
Therefore, the answer is [tex]\(30 \, m^3\)[/tex].
