i have realized recently that my rhythm is weak i use a metronome but what else should i be doing to improve this
Use the shift key as appropriate when you type.

Disciplined (& correct) alternate picking can help, too.
See if you can find the exact centre of the beat with your metronome on it's lowest setting. Always good one.

Tap your foot.
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jump rope

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She will join the prom.

She insists to wear this lights.

I don't think so.

How can I persuade her?
foot tapping has helps. Whenever you are out and there is music, tap your foot. You can do it to a melody/song in your head too.

Try some dancing lessons too. I haven't tried those myself yet, but definitely will.