Answer:
6
Step-by-step explanation:
Total number of subsets is given as

But the subset of a set consists of the proper subsets, an empty set and the set itself.
Total number of subsets are 64
Therefore,


Comparing both sides

Answer:
Equation of movement y(t)

Amplitude: 1 inch
Period: 0.628 seconds
Step-by-step explanation:
If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

The period depends on the mass and the spring constant.
The formula for the period is:

The model y(t) for the movement of the mass-spring system is

Answer:
20.25π
Step-by-step explanation:
The circumference (C) of a circle is calculated using the formula
C = 2πr ← r is the radius
given C = 9π, then
2πr = 9π ( divide both sides by 2π )
r =
( cancel the π on numerator/denominator )
= 4.5
The area (A) of a circle is calculated using the formula
A = πr² = π × 4.5² = 20.25π
1,000 = 10^3 (3 because there are 3 digits after the first one)
2,000 = 2 * 10^3