How do you do this question?

I = 2/5 M (R₂⁵ − R₁⁵) / (R₂³ − R₁³)

Explanation:

We can look at this as the difference of two spheres, a large one and a small one.  If the density is ρ, then the mass of the large sphere is:

M₂ = ρ 4/3 π R₂³

The mass of the small sphere is:

M₁ = ρ 4/3 π R₁³

The difference is:

M = M₂ − M₁

M = ρ 4/3 π R₂³ − ρ 4/3 π R₁³

M = ρ 4/3 π (R₂³ − R₁³)

Solving for ρ:

ρ = 3M / (4π (R₂³ − R₁³))

The moment of inertia of the large sphere is:

I₂ = 2/5 M₂R₂²

I₂ = 2/5 (ρ 4/3 π R₂³) R₂²

I₂ = ρ 8/15 π R₂⁵

The moment of inertia of the small sphere is:

I₁ = 2/5 M₁R₁²

I₁ = 2/5 (ρ 4/3 π R₁³) R₁²

I₁ = ρ 8/15 π R₁⁵

The difference is:

I = I₂ − I₁

I = ρ 8/15 π R₂⁵ − ρ 8/15 π R₁⁵

I = ρ 8/15 π (R₂⁵ − R₁⁵)

Substituting:

I = 3M / (4π (R₂³ − R₁³)) 8/15 π (R₂⁵ − R₁⁵)

I = 2/5 M (R₂⁵ − R₁⁵) / (R₂³ − R₁³)

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6

the earths atmosphere is made up of nitrogen and oxygen. solids can turn into gasses through a process called sublimation. sublimation is the transition of a substance directly from the solid to the gas phase, without passing through the intermediate liquid phase.

hope this : d