2m⁴ - 18n⁶
2(m⁴) - 2(9n⁶)
2(m⁴ - 9n⁶)
2(m⁴ - 3m²n³ + 3m²n³ - 9n⁶)
2[m²(m²) - m²(3n³) + 3n³(m²) - 3n³(3n³)]
2[m²(m² - 3n³) + 3n³(m² - 3n³)]
2(m² + 3n³)(m² - 3n³)
Answer:
The volume of the sphere is 14m³
Step-by-step explanation:
Given
Volume of the cylinder = 
Required
Volume of the sphere
Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;
<em>Using the volume formula of a cylinder</em>
The formula goes thus
Substitute 21 for V; this gives
Divide both sides by h
The next step is to solve for the volume of the sphere using the following formula;
Divide both sides by r
Expand Expression
Substitute
Multiply both sided by r
------ equation 1
From the question, we were given that the height of the cylinder and the sphere have equal value;
This implies that the height of the cylinder equals the diameter of the sphere. In other words
, where D represents diameter of the sphere
Recall that 
So, 
Substitute 2r for h in equation 1
Hence, the volume of the sphere is 14m³
Answer:
4x + 8y = 50 or 4x + 8y > 50
Step-by-step explanation:
To find which equation show the exact answer, Becasue he need at least 50 poitns to have a B, so:
4x + 8y must larger or equal to 50
In these choice, some I can't figure out what it means but the correct answer for this is:
4x + 8y = 50 or 4x + 8y > 50
Hope this help you :3
Step-by-step explanation:
A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.
h=-16t^2+16t+320
