Whether a line is "steep" or "shallow" depends on the slope of the line. In the equation y=mx+b, m is the slope. In your first equation, 1/2x+4, the slope would be 1/2 which means there is 1 increase in the vertical, or y, value for each 2 increases in the horizontal, or x value. This line would be shallow.
<span>Your heart speeds up to pump extra food and oxygen to the muscles. Breathing speeds up to get more oxygen and to get rid of more carbon dioxide. When a fit person, such as an athlete, exercises the pulse rate, breathing rate and lactic acid levels rise much less than they do in an unfit person.
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Answer:
v = √(10gh/7)
Explanation:
Initial gravitational energy = final rotational energy + kinetic energy
PE = RE + KE
mgh = ½ Iω² + ½ mv²
For a solid sphere, I = ⅖ mr².
For rolling without slipping, ω = v/r.
mgh = ½ (⅖ mr²) (v/r)² + ½ mv²
mgh = ⅕ mv² + ½ mv²
mgh = 7/10 mv²
10/7 gh = v²
v = √(10gh/7)
Answer:
<em>The radius of the balloon is R= 0.974 m</em>
Explanation:
Atmospheric density on the surface of mars ρ = 0.0154 kg/m³
Mass density of balloon σ 5 gm/m² = 0.005 kg/m²
Total mass of balloon M = density of balloon* surface area
The balloon is considered as sphere
Surface area of sphere is given by 4π R²
Mass of balloon is M =σ *4πR²
M= (0.005 kg/m²)*(4π R²)
Volume of balloon is given by
πR³
Density of atmosphere of mass is given by
ρ = Mass of balloon/volume of balloon
=(0.005 kg/m²)*(4π R²)/
πR³
Re arranging R
R = 
R = 0.974 m
<em>The radius of the balloon is R= 0.974 m</em>
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