Answer:
1. Rate of change is -5 every step.
2. Rate of change is -5 feet every one hour.
3. Inital water level is 30 ft
Step-by-step explanation:
<span>Answer:
K = (1/2) mv² + (1/2) Iω², where m is the ball mass, I is the ball's moment of inertia (2/5)mr², and ω is the angular velocity of the ball. Because the ball rolls without slipping, it is easy to see that v=ωr, or r=v/ω. Then,
K = (1/2)mv² + (1/2)(2/5)mr²ω²
= (1/2)mv² + (1/5)mv²
= (7/10)mv²
Setting potential at the top equal to kinetic at the bottom,
mgh=(7/10)mv²
v=âš{(10/7)(gh)}
= [(10/7)(9.8)(0.51)]^(1/2) = 2.672m/s</span>
Which situation could best be represented by the integer 120?
1. could be negative but the likely of losing 120 pounds is very low
2. this number would be positive
3. could be between -1 to - infinity
answer: 3. the number of feet below a surface
The bottle of 100 would be lowest. $8.13 ÷ 100 lozenges = $0.08 per lozenge
The number is 12
16 plus 8 = 24/ 2= 12