Answer:
-2x + 6 8x or 5x + 3 < 9
Step-by-step explanation:
-2x + 6 8x -> x
3/5
5x + 3 < 9 -> x < 6/5
Find the volume of a right circular cone that has a height of 12.4 in and a base with a diameter of 15.6 in. Round your answer t
1 answer:
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Answer:
64
Step-by-step explanation:
<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have , which equals zero when
. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
