Answer:
The height of the water = 6.2 in. to the nearest tenth
Step-by-step explanation:
∵ The rate of flows of water into the tank = 8000 in.³/min.
∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³
∵ The water take the shape of the tank
∴ The height of the water = volume of water ÷ Area of the base of the tank
∵ The tank is cylinder with diameter 128 in. and height 72 in.
∴ The area of the base of the tank = π(128/2)²
∴ The height of the water = 
∴ The height of the water = 6.2 in. to the nearest tenth
16/25 because there are 3 face cards which have 4 different suits and 4 different suits for the number 6
Answer:

Step-by-step explanation:
It is a linear homogeneous differential equation with constant coefficients:
y" + 4y = 0
Its characteristic equation:
r^2+4=0
r1=2i
r2=-2i
We use these roots in order to find the general solution:

Answer:
6, 24, 96, 384
Step-by-step explanation:
a₁ = 6
a₂ = 4 x a₁ = 4 x 6 = 24
a₃ = 4 x a₂ = 4 x 24 = 96
a₄ = 4 x a₃ = 4 x 96 = 384