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UNO [17]
3 years ago
15

FIND ANSWER A AND B FOR 10 POINTS!!

Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer:

16A. 42 cm

16B. 7 cm  

Step-by-step explanation:

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(8.5-2x)(11-2x)(x) what is the approximate value of x that would allow you to construct an
Wittaler [7]

The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

<h3>What is meant by the term maxima?</h3>
  • The maxima point on the curve will be the highest point within the given range, and the minima point will be the lowest point just on curve.
  • Extrema is the product of maxima and minima.

For the given question dimensions of open-top box;

The volume is given by the equation;

V = (8.5-2x)(11-2x)(x)

Simplifying the equation;

V = x(4x² - 39x + 93.5)

Differentiate the equation with respect to x using the product rule.

dV/dx = x(8x -39) + (4x² - 39x + 93.5)

dV/dx = 8x² - 39x + 4x² - 39x + 93.5

dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1  and x = 1.9

Put each value of x in the volume to get the maximum volume;

V(4.1) =  4.1(4(4.1)² - 39(4.1) + 93.5)

V(4.1) = 3.44 cubic unit.

V(1.9) = 1.9(4(1.9)² - 39(1.9) + 93.5)

V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

To know more about the maxima, here

brainly.com/question/17184631

#SPJ1

4 0
1 year ago
Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins
elixir [45]

Answer:

( l+w)

Step-by-step explanation:

just did the question

4 0
3 years ago
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dedylja [7]

Answer:

At the end of "Samuel's Memory, Samuel's feelings change from confusion and fear to anger and hate because his mother dies and he feels that he is all alone (C).

Step-by-step explanation:

6 0
3 years ago
Madison needs to buy enough meat to make 1,000 hamburgers will weigh 0.25 pound. How many pounds of hamburger meat should Madiso
Elan Coil [88]

Answer:

Madison is gonna need to buy 250 pounds of meat.

Feel free to Brainliest :)

8 0
3 years ago
What is the midpoint between (5.2).(-4,-3)
Murrr4er [49]

Answer:

Step-by-step explanation:

(5-4)/2 = 1/2

(2-3)/2 = -1/2

(1/2, -1/2)

4 0
3 years ago
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