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Juliette [100K]
3 years ago
15

Miguel is designing shipping boxes that are rectangular prisms. One shape of the box with height h in feet, has a volume defined

by the function V(h)=h(h-10(h-8). What is the height that would produce the maximum volume for the domain 0
Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Answer: 105ft^3

Step-by-step explanation:

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Work out the volume of this prism.
aniked [119]

Answer:

Volume = 175 cm³

Step-by-step explanation:

We can picture this image as a whole rectangular prism, with a part that has been cut out of it.

Step 1: Volume of original prism

We are going to solve the volume of the original prism, with the dimensions of 9, 7, and 5

  • V = 9 * 7 * 5
  • V = 315

Step 2: Volume of part cut out

We are solving the volume of that part that has been cut out ( missing space)

  • V = 5 * (9-2) * (7-3)
  • V = 5 * 7 * 4
  • V = 140

Step 3: Total Volume

Now we just subtract the cutout part from the original volume

  • 315 - 140
  • V = 175

Volume = 175 cm³

Note, we could have also found the volume by splitting this shape into two prisms with dimensions (9 * 3 * 5) and (4 * 5 * 2). This way would also get us:

  • V = (9 * 3 * 5) + (4 * 5 * 2)
  • V = 135 + 40
  • V = 175

-Chetan K

7 0
2 years ago
Joe jumps into the water, and it takes him 5 seconds to reach the bottom of a pool 8 feet deep.
Soloha48 [4]

Answer:

hm looks like the equation is 5/8

Step-by-step explanation:

i think its 5/8th of a second right????????

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Answer:

y - 3 = 2(x - 7).

Step-by-step explanation:

The point-slope form is

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So the answer is:

y - 3 = 2(x - 7).

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The percentage of birds in the zoo will be 15%
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