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Elenna [48]
3 years ago
10

Michael picks three different digits from the set { } 12345 ,,,, and forms a mixed number by placing the digits in the spaces of

. The fractional part of the mixed number must be less than 1. (For example, 4 2 3 ). What is the difference between the largest and smallest possible mixed number that can be formed?
Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0

Answer:

The largest number =5 3/4

​The smallest number =1 2/5

​Required difference = 5 3/4 − 1 2/5 = 4 7/2

I could be very off. hope it helps somehow

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A rectangular storage container with an open top is to have a volume of 10 m3. the length of this base is twice the width. mater
BartSMP [9]
Refer to the diagram shown below.

The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x²        (1)

The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²

The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x

The total cost is
C = 20x² + 180/x

The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.

The total cost is
C = 20(1.651)² + 180/1.651 = $163.54

Answer: $163.54

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Gelneren [198K]

Answer:

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Step-by-step explanation:

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