According to the question requirements
v= 4/3*pi*r^3
dv/dt = 4*pi*r^2*dr/dt
when
d= 1.7
r= 0.85
and
dv/dt = 2
2= 4*pi*(0.85)^2*dr/dtthus the the speed of increasing of the balloon's diameter is
dr/dt = 1/(2pi*(0.85)^2)
=<span>0.2203 ft/min</span>
Answer:
s₁ > s₂
Is accurate comparison
Step-by-step explanation:
If we have two different point for a straight line the slope of such line is given by:
P₁ = ( x₁ , y₁ ) P₂ = ( x₂ , y₂ )
The slope of the line is
s₁ = (y₂ - y₁ ) / ( x₂ - x₁)
Then for the pairs of points:
P₁ (2 , 50 ) and P₂ ( 4 , 100)
y₂ - y₁ = 100 - 50 ⇒ y₂ - y₁ = 50
and
( x₂ - x₁ ) ⇒ 4 - 2 = 2
Then
s₁ = 50/2
s₁ = 25
In the second case
Points
P₁ ( 2 , 40 ) P₂ ( 4 , 80 )
s₂ = (y₂ - y₁ ) / ( x₂ - x₁)
y₂ - y₁ = 80 - 40 = 40
x₂ - x₁ = 4 - 2 = 2
s₂ = 40/2
s₂ = 20
Then
s₁ > s₂
Is accurate comparison
I’m assuming the numbers are 2/3 and 3/4 so find the common denominator. 2/3x4=8/12 and 3/4x3=9/12 so 8/12+9/12= 17/12 or 1 and 5/12