Someone please help me determine if the following sets are closed under the given operation/ help me by showing work as well justify answer? M=[all numbers of the form 2^n, for natural numbers] under addition?

N=[all numbers of the form 2^n, for n natural number] under multiplication?​

The ph level of a blueberry is 3.1 what is the hydrogen-ion concentration [h+] for the blueberry

In the diagram, be and ad pass throughthe center of circle o, and the area ofsector aoc is 47.45 square units. what isthe area of sector boc? use the value =3.14, and round your answer to two decimalplaces.22.33 square units25.12 square units

Afamily has two cars. the first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. during one particular week, the two cars went a combined total of 1025 miles, for a total gas consumption of 55 gallons. how many gallons were consumed by each of the two cars that week?