Answer: The formula to calculate the radius of a sphere if we know the volume is: Cubic root [3V/(4∏)].
Solution:
The formula for the volume (V) of a sphere is:
V=(4∏/3) r^3
Solving for r: Multiplying both sides of the equation by 3/(4∏):
3/(4∏) V = 3/(4∏) [(4∏/3) r^3]
3V/(4∏) = r^3
Cubic root both sides of the equation (raising to the power 1/3):
Cubic root [3V/(4∏)] =Cubic root (r^3)
Cubic root [3V/(4∏)] = r
r = Cubic root [3V/(4∏)]
20
Formula for perimeter: length x 2 + width x 2
70x2 is 140 then subtract it from 180 and you’ll get 40, then you half it and get 20
Answer:
Demand is Elastic when Price > 200 ; Demand is inelastic when Price < 200
Step-by-step explanation:
p = 400 - 4x
4x = 400 - p
x = (400 - p) / 4 → x = 100 - p/4
Elasticity of demand [ P ed ] = (Δx / Δp) x (p / x)
Δx / Δp [Differentiating x w.r.t p] = 0 - 1/4 → = -1/4
P ed = <u>-1</u> x<u> p </u>
4 (400 - p)/4
= <u>-1</u> x <u> 4p </u> = -p / (400-p)
4 (400 - p)
Price Elasticity of demand : only magnitude is considered, negative sign is ignored (due to negative price demand relationship as per law of demand).
So, Ped = p / (400 - p)
Demand is Elastic when P.ed > 1
p / (400-p) > 1
p > 400 - p
p + p > 400 → 2p > 400
p > 400 / 2 → p > 200
Demand is inelastic when P.ed < 1
p / (400-p) < 1
p < 400 - p
p + p < 400 → 2p < 400
p < 400 / 2 → p < 200
Idk idk idk idk idk idk idk
