• 脈拍みゃくはく — pulse rate
• 人脈じんみゃく — personal connections
• 静脈じょうみゃく — vein
• 山脈さんみゃく — mountain range
• 命脈めいみゃく — life / fate

脈 combines the body radical 月（にくづき）with elements suggesting flow and signal, originally describing the vital flow of blood or energy. Over time, it expanded to abstract uses such as lineage, continuity, opportunity, or even hope.

脈拍みゃくはくを 測はかってください。
Please check your pulse.

彼かれとは 脈みゃくがありそうです。
I think there's a chance with him. (romantic implication)