Answer:
x**9
Step-by-step explanation:
(x**3/2)**6 = x**18/2 = x**9
Answer:
2 1/7 pieces
Step-by-step explanation:
A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?
Each sheet of cardboard = 2 1/2 square feet
Each smaller pieces of cardboard = 1 1/6 square feet
Number of smaller pieces of cardboard per sheet of cardboard = Each sheet of cardboard ÷
Each smaller pieces of cardboard
= 2 1/2 square feet ÷ 1 1/6 square feet
= 5/2 ÷ 7/6
= 5/2 × 6/7
= (5*6) / (2*7)
= 30/14
= 15/7
= 2 1/7 pieces
Number of smaller pieces of cardboard per sheet of cardboard = 2 1/7 pieces
Separating variables, we have

Integrate both sides.


Given that
, we find

Then the particular solution is



and because
, we take the negative solution to accommodate this initial value.

Answer:
Step-by-step explanation:
7) Area = 615.75 sq. km
πr² = 615.75
3.14*r² = 615.75
r² = 615.75/3.14 = 196
r = √196
r = 14 km
8) circumference = 15.71 yards
πd = 15.71
3.14*d = 15.71
d = 15.71/3.14 = 5 yards
9)Area = 415.48 sq.inches
πr² = 415.48
3.14*r² = 415.48
r² = 415.48/3.14 = 132.31
r = √132.31
r = 11.5 inches
diameter = 11.5*2 = 23 inches