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Veseljchak [2.6K]
2 years ago
14

What is the answer for number 2?

Mathematics
1 answer:
steposvetlana [31]2 years ago
4 0

Answer:

7/3

Step-by-step explanation:

integral of equation is x^3/3-6x^2/2+5x/1

the answer will be

7^3/3-3*7^2+5*7-0= 343/3-147+35= 7/3

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A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.
Montano1993 [528]

Answer:

  x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

  ∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

  x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

  area = xy +2(xz +yz)

  volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

  L = xy +2(xz +yz) +λ(xyz -8788)

  partial with respect to x: 0 = y+2z +λyz

  partial with respect to y: 0 = x +2z +λxz

  partial with respect to z: 0 = 2x+2y +λxy

  partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

  λ = (y +2z)/(yz) = 1/z +2/y

  λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

  1/z +2/y = 1/z +2/x   ⇒   x = y

The third equation then tells us ...

  λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

  1/z +2y = 2/x +2/y   ⇒   z = x/2

This is the result we started the answer with:

  x = y = 2z = ∛(2·8788 cm³)

7 0
3 years ago
Charlotte has two job offers as a car sales person. The first job will pay her $600 a month plus 2% on the price of her car sale
Lana71 [14]
$40,000
Let x be the sales amount.
600+0.02x=1000+0.01x
x=$40,000
5 0
3 years ago
Find the difference of 25 and 0.88
Fed [463]

Answer:

24.12

Step-by-step explanation:

The term 'difference' implies subtraction.

25 - 0.88 = 24.12

4 0
3 years ago
Read 2 more answers
Find the AGI and taxable income:
Juli2301 [7.4K]
This "question" isn't even a question. If the question is asking to calculate AGI and taxable income I can definitely help. This is what I do for a living! I am assuming this is 3 questions.   
1. Find the AGI and taxable income: Gross Income $30,856 Adjustments $750 1 Exemption $8200 Deduction $2,300 
 AGI: $31,200 and $20,601 $30106 --- ANSWER: 30,106 (30,856-750)
 Taxable Income: $19,606 $29,586 and $18,505 $28,863 and $17,636 1 points--- ANSWER 19,606 
 2. QUESTION 5 Find the AGI and taxable income. Gross Income $67,890
Adjustments $0 3 Exemptions $24,600 Deduction $1469 
 AGI: $69,440 and $45,300 $68,990 and $42,831 $67,890 --- ANSWER:
67,890
 Taxable Income: $41,821 $65,551 and $44,821 1 points --- ANSWER: 41,821 (67,890-24,600-1,469) 
 3. QUESTION 6 Find the AGI and taxable income. Gross income $19,723 Adjustments $255 1 Exemption $8200 Deduction $1430 $19,4
 AGI: 19,468 (19,723-255)
 Taxable Income: 9,838 (19,468-8,200-1,430) 
 Goodluck! If you need anything else feel free to reach out to me directly. Not sure if you can I'm fairly new to this.  
 -Mike
6 0
3 years ago
Read 2 more answers
At HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership
gayaneshka [121]

The price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.

Since at HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $ 17 per member and the number of members is 81 when annual membership fee is $ 24 per member, and the number of members and membership fee have a linear relationship, to determine at what membership price is the maximized revenue, and what is the maximum annual revenue, the following calculations must be performed:

  • 17 x 83 = 1411
  • 24 x 81 = 1944
  • 31 x 79 = 2449
  • 38 x 77 = 2926
  • 66 x 69 = 4554
  • 73 x 67 = 4891
  • 80 x 65 = 5200
  • 94 x 61 = 5734
  • 101 x 59 = 5959
  • 122 x 53 = 6466
  • 129 x 51 = 6579
  • 150 x 45 = 6750
  • 157 x 43 = 6751
  • 164 x 41 = 6724

Therefore, the price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.

Learn more in brainly.com/question/11663530

4 0
2 years ago
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