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Mumz [18]
4 years ago
12

Applied Optimization

Mathematics
1 answer:
levacccp [35]4 years ago
3 0
Minimum weight => minimum area

Area = area of the base + area of the four sides

Length of the side of the square base: x

area of the base = x^2

area of the other four sides = 4 * x * height

Now you have to put height in therms of x using the volume formula:

Volume = area of the base * height => height = Volume / area of the base

height = 6912 / x^2 => area of the four sides = 4*x*6912 / x^2 = 27648 /x

Total area = x^2 + 27648/x

That is the function that you have to optimize (find the derivative and equal it to zero).

I think this is enough information to you develop the proble,

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A boy starts the week with 3kg of rice, every day he cooks 0.6kg. How much rice will he have left after 4 days?
almond37 [142]

Answer:

1.8 Kg

Step-by-step explanation:

a week- 3kg rice

every day-0.6 kg rice

therefore, multiply 3 kg by 0.6kg

3kg x 0.6kg =1.8 kg

he will have 1.8 kg rice after 4 days

have a great day !

5 0
3 years ago
What is 3 1/4 divided by 2/3 with all of the steps?
erik [133]

Answer:

4 7/8

Step-by-step explanation:

3 1/4 / 2/3

convert mixed numbers to improper fractions: 3 1/4 / 2/3

13/4 / 2/3

apply the fraction rule: a/b / c/d = a/b * d/c

= 13/4 * 3/2

multiply fractions: a/b * c/d = (a * c)/(b * d)

= (13 * 3)/(4 * 2)

multiply the numbers: 13 * 3 = 39

= 39/(4 * 2)

multiply the numbers: 4 * 2 = 8

= 39/8

convert improper fractions to mixed numbers: 39/8 = 4 7/8

= 4 7/8

5 0
4 years ago
Write a real-world problem that could be represented by 5x+ 30 ≥ 90.
alukav5142 [94]
If Jamie is selling bags of carrots for $5 each and already has $30 what would he use to calculate how much money he made
6 0
3 years ago
Read 2 more answers
If -2a &gt; 6, then _____.<br><br> a &gt; -3<br> a &gt; 3<br> a &lt; 3<br> a &lt; -3
shutvik [7]

Answer:

a<-3

bc -3(-2)=6

so if u go lower which the next number would be -4(-2)=8 which is greaterthan 6

Step-by-step explanation:

5 0
3 years ago
Graph the solution to the following system of inequalities in the coordinate plane.
Goshia [24]

Answer:

see below

Step-by-step explanation:

The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.

The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.

4 0
4 years ago
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