Answer:
7 rpm = 0.73 rad/s
Step-by-step explanation:
R = Radius of merry-go-round = 1.8 m
= Moment of inertia of merry-go-round = 255 kg m²
= Moment of inertia of child
ω = 9 rev/min
m = Mass of child = 24 kg
From the conservation of angular momentum

∴ New angular speed of the merry-go-round is 7 rpm = 
Answer:
- Y=2+√4x+28 -
Step By Step:
Ok so, the original expression is 2(x - 2)² = 8(7 + y).
First you Rewrite the expression as 7 + y = (2/8)*(x-2)² = (1/4)*(x-2)²
So know its; y = (1/4)(x-2)² - 7
To find the inverse, switch x and y, and solve for y.
x = (1/4)(y-2)² - 7
Then you Multiply through by 4
4x = (y-2)² - 28
(y-2)² = 4x + 28
y - 2 = √(4x + 28)
y = 2 +/- √(4x + 28)
Answer:
$7.2
Step-by-step explanation:
Mike paid $18 for 5 photos
= 18/5
= 3.6
His sister wants to purchase 2 of the same album
= 2 × 3.6
= 7.2
Hence she will pay $7.2 for the two albums