Your answer would be 30t - 4
Answer:
- (d) (x² + y² + z²)³ = 27x²y²z²
Step-by-step explanation:
<u>Use the identity:</u>
- a³ + b³ + c³ = 3abc if a + b + c = 0
<u>Substitute as follows:</u>
<u>The sum of the cubes is:</u>
- x² + y² + z² = 3(xyz)
<u>Cube both sides:</u>
- (x² + y² + z²)³ = 27x²y²z²
Correct choice is (d)
Answer:
5.655 m³/min
Step-by-step explanation:
Halfway from the bottom of the tank, the radius is half that at the top, so is 1 m. That means the surface area of the water at that point is ...
A = πr² = π(1 m)² = π m²
The rate of flow of water into the tank is the product of this area and the rate of change of depth:
flow rate = area × (depth rate of change)
= (π m²) × (1.8 m/min) = 1.8π m³/min
flow rate ≈ 5.655 m³/min
Answer:
2√34
Step-by-step explanation:
The vertical change is 6 and the horizontal change is 10.
Thus, the length of the diagonal (hypotenuse) is
6^2 + 10^2 = 36 + 100 = 136 = 4*34
Taking the positive square root of this 4*34, we get 2√34.
The length of the line / diagonal / hypotenuse is 2√34.
, b =
, c =