1of 2) 10.0 points saturn has a mass of 5.64 × 1026 kg and radius 6×107 m. calculate its density. answer in units of kg/m3.

034 (part 2 of 2) 10.0 points if this planet were placed in a large enough ocean of water, would it float?
1. yes
2. no
3. more information is needed

Step-by-step explanation:

1. Density is mass per unit volume. Assuming the planet is a sphere, the density is about ...

  ρ = (5.64·10^26 kg)/((4/3)π·(6·10^7 m)^3) = 5.64/9.05 · 10^(26-23) kg/m^3

  ρ ≈ 623 kg/m^3

2. Seawater has a density of about 1025 kg/m^3. Saturn has an average density that is less, so it would float (yes).

k = 1

P(t) = (t + 20)²

Step-by-step explanation:

P' = k√P = k P⁰•⁵

To solve for k,

P' = 10 rabbits/month

P = 100 rabbits

10 = k √100

10 = 10k

k = 1

To solve for P(t)

P' = dP/dt

(dP/dt) = kP⁰•⁵

dP/P⁰•⁵ = k dt

P⁻⁰•⁵ dP = k dt

∫ P⁻⁰•⁵ dP = ∫ k dt

2P⁰•⁵ = kt + c

At t = 0, P = 100

2(100)⁰•⁵ = 0 + c

2 × 10 = c

c = 20

2P⁰•⁵ = kt + c

2P⁰•⁵ = kt + 20

Recall, k = 1

2P⁰•⁵ = t + 20

P⁰•⁵ = (t + 20)

P(t) = (t + 20)²