Answer: 2/3 feet per minute
Step-by-step explanation:
From the question, we are informed that a caterpillar moves across the grass at a rate of 4 2/3 feet every 7 minutes.
The rate at which the caterpillar move in feet per minute will be:
= 4 2/3 ÷ 7
= 14/3 ÷ 7
= 14/3 × 1/7
= 14/21
= 2/3 feet per minute
Answer: The equation of the sphere with the center and radius

b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )
Step-by-step explanation:
a) The equation of the sphere having center (h,k,l) and radius r is

Given center of the sphere (3, -9, 3) and radius 5

on simplification , we get solution


Final answer :-

b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )

Answer:
P = 
Step-by-step explanation:
given P is inversely proportional to V then the equation relating them is
P = 
to find k use the condition when V = 8 , P = 5 , then
5 =
( multiply both sides by 8 to clear the fraction )
40 = k
P =
← equation of proportion