Answer: 0.175.

## Explanation **Option A is correct** because the weight update in neural networks follows the gradient descent formula: \[ w_{new} = w_{old} - \eta \cdot \frac{\partial E}{\partial w} \] Where: - \( w_{old} = 0.20 \) - \( \eta = 0.10 \) (learning rate) - \( \frac{\partial E}{\partial w} = 0.25 \) (partial derivative) Calculation: \[ w_{new} = 0.20 - (0.10 \times 0.25) = 0.20 - 0.025 = 0.175 \] **Option B (0.195)** would result from adding the gradient instead of subtracting it. **Option C (0.225)** would result from incorrectly multiplying the learning rate by the weight instead of the gradient.

Author: LeetQuiz Editorial Team