Final answer:
A governor's power to influence the bureaucracy includes appointing agency heads, issuing executive orders, and controlling the budget, but does not include declaring war, which is a federal power.
Step-by-step explanation:
The governor's power to influence the bureaucracy includes several tools, such as appointing agency heads, issuing executive orders, and controlling the budget. However, among the options provided, (a) Appointing agency heads, (b) Issuing executive orders, (c) Controlling the budget, the power that does not belong to a governor is (d) Declaring war. Declaring war is specifically a power reserved for the federal government and more directly, the purview of Congress, alongside the President in their role as Commander-in-Chief.