There is no one answer to this. It is a matter of opinion, and must be answered by each person themselves.
Do you have any specific dietary needs or restrictions we should know about?
Yes, it should be -- Medical Arts Building.
Medicare should have less restrictions on home health care.
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Home equity loans should have stronger restrictions for potential applicants.
There are no age restrictions on most martial arts, including Kung Fu.
Which or what empire?
You should use "are".
adventurous new writing was published in Paris due to several Americans moving to Paris to avoid the restrictions at home.
Yes, "Arts" should be capitalized in the sentence "They were interested in the Arts" since it refers to a specific field of study or activity.
No, they shouldn't. You should focus more on your arts areas, not stupid things like football!
No, the term "arts" should not be capitalized, unless it is part of a proper noun or the beginning of a sentence.