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dedylja [7]
1 year ago
15

A container manufacturer plans to make rectangular boxes whose bottom and top measure 2x by 3x. The container must contain 12in.

3 The top and the bottom will cost $2.60 per square inch, while the four sides will cost $4.30 per square inch. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth.
Mathematics
1 answer:
lisabon 2012 [21]1 year ago
5 0

The height of the container be so as to minimize cost will be 1.20. inches.

<h3>How to calculate the height?</h3>

The volume of the box will be:

= 2x × 3x × h

= 6x²h

Volume = 6x²h

12 = 6x²h

h = 2x²

The cost function will be:

C = 2.60(2)(6x²) + 4.30(12x)h

C = 31.2x² + 51.6xh

Taking the derivative

62.4x + 51.6h

h = 1.20

Therefore, the height of the container be so as to minimize cost will be 1.20 inches.

Learn more about height on:

brainly.com/question/15557718

#SPJ1

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wlad13 [49]

Step-by-step explanation:

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P = P(not first) × P(second)

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P ≈ 0.425

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P ≈ 0.094

6 0
3 years ago
Jessica is measuring two line segments. The first line segment is 30 centimeters long. The second line segment is 500 millimeter
Zolol [24]

Answer:

800 mm or 80 cm

Step-by-step explanation:

We are given that Jessica is measuring two line segments.

Length of first line segment  =30 cm

Length of second line segment=300 mm

We have to find that Length of two line segments together

We know that 1 cm =10 mm

Length of firs line segment =

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Hence, the length of two line segments together=800 mm=80 cm

Read more on Brainly.com - brainly.com/question/544258#readmore

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3 years ago
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Vitek1552 [10]

FYI - 14,15,16 are correct.

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A store has 40% off sale on headphones. With this discount, the price of one pair of headphones is $36.00
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