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For standard 2x4 walls, the ideal insulation has an R-value between R-13 and R-15. This level of insulation, typically around 3.5 inches thick, fits well within the wall cavity. Common options include fiberglass batts and spray foam. The best choice for your home can depend on your climate; use R-value maps, like those from Energy Star, to determine the recommended level for your region. For colder climates, you might also consider adding exterior insulation for greater efficiency. Always check with your local building codes to ensure you meet any required standards.

Acoustic foam, fiberglass insulation, soundproof curtains, and specialized drywall are effective in reducing noise transmission.

The best type of attic insulation depends on where you live, your budget, and what stage of construction the attic is in. For example, if you're building a house, then structural insulated panels are a worthy investment since they're easy to install during construction and they're the most energy-efficient type of insulation.  

Additionally, if you live in a very warm climate, then you can potentially save quite a bit of money by opting for reflective insulation, which is more affordable than comprehensive insulation but doesn't work well for cool climates. Blown-in, loose-fill, and spray foam insulation are all great options for attics in moderate climates.

Fiberglass is the best insulation for HVAC ducting because it's inexpensive, widely available, versatile, and long-lasting. Fiberglass also offers acoustic insulation in addition to thermal insulation, which can contribute to a more peaceful home environment. You can use other materials like mineral wool, but fiberglass is the industry standard.