For this case we have the following function:
<span>w (x) = - 5 (x-8) (x + 4)
</span><span>Rewriting we have:
</span><span>w (x) = - 5 (x ^ 2 + 4x - 8x - 32)
</span><span>w (x) = - 5x ^ 2 - 20x + 40x + 160
</span><span>w (x) = - 5x ^ 2 + 20x + 160
</span><span>Then, deriving we have:
</span><span>w '(x) = - 10x + 20
</span><span>We equal zero and clear x:
</span><span>0 = -10x + 20
</span><span>10x = 20
</span><span>x = 20/10
</span><span>x = 2 seconds
</span><span>Substituting values:
</span><span>w (2) = - 5 (2-8) (2 + 4)
</span><span>w (2) = - 5 (-6) (6)
</span><span>w (2) = 180 meters
</span>Answer:
The maximum height that the stone will reach is:
w (2) = 180 meters
53 minutes
3:08 to 4:00 is 52 minutes.
to 4:01 would add an extra minute which would be 53.
Answer:
10 centimeters.
Step-by-step explanation:
First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.
The volume of the first equals:
Volume = Length x Width x Height
While the volume of the cube is:
where a is the edge.
We are given the measures of the rectangular solid so we can calculate its volume:
cubic cms.
Now, we know that both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.
![1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a](https://tex.z-dn.net/?f=1000%3Da%5E3%20%5C%5C%5Csqrt%5B3%5D%7B1000%7D%20%3D%5Csqrt%5B3%5D%7Ba%5E3%7D%20%5C%5C10%3Da)
Thus the length of an edge of the cube is 10 centimeters
Answer:
3.7 + r < 1.2
Step-by-step explanation:
a number r added to 3.7 is 3.7 + r
New expression 3.7 + r should be less than 1.2 --->
3.7 + r < 1.2
