The number of cups that are left in a half-gallon carton of orange juice after 3 cups are used is 5 cups.
To solve this question, we'll need to convert gallons to cups. This will be:
1 gallon = 16 cups. Therefore, 1/2 gallon will be = 1/2 × 16 = 8 cups.
In this case, we'll then subtract the number of cups that have been used from 8 cups. This will be:
= 8 cups - 3 cups .
= 5 cups.
Therefore, the number of cups that are left after 3 cups are used is 5 cups.
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The after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.

Making perfect square:
![\rm h(t)= -[(4t)^2-72t+9^2 -9^2]](https://tex.z-dn.net/?f=%5Crm%20%20h%28t%29%3D%20-%5B%284t%29%5E2-72t%2B9%5E2%20-9%5E2%5D)
![\rm h(t)= -[(4t-9)^2 -81]](https://tex.z-dn.net/?f=%5Crm%20%20h%28t%29%3D%20-%5B%284t-9%29%5E2%20-81%5D)

The highest point will be when term (4t-9)² becomes zero
So the highest point = 81 feet, and it takes:
t = 9/4 seconds
Thus, the after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t
Learn more about the parabola here:
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Answer: 88 square inches
If we want to wrap the box, we need to work out its surface area - the area that will need to be covered by the giftwrap.
This box is a cuboid, so there will be six faces, with only three different areas (each face has an identical pair).
Let's say the height is 2 in, the length is 6 in and the depth 4 in.
height = 2
length = 6
depth = 4
Let's find the area of the faces that measure height x length:
2 x 6 = 12 square in
Now let's do the same thing for height x depth:
2 x 4 = 8 square in
And finally for length x depth:
6 x 4 = 24
There are two of each of these faces, so let's multiply each result by two.
12 x 2 = 24
8 x 2 = 16
24 x 2 = 48
Finally, all that's left to do is add these numbers together to find the total surface area of the cuboid.
24 + 16 + 48 =
88 square inches
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