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aliya0001 [1]
1 year ago
5

One serving (1 cup) from the fruits group is equal to 1 cup of fruit, 1 cup of 100% fruit juice, or 1/2 cup of dried fruit. Why

is the serving size for dried fruit smaller than the serving size for other forms of fruit?
Mathematics
1 answer:
Dmitrij [34]1 year ago
6 0

Answer:

Because the dried fruit contains less water

Step-by-step explanation:

Drying is a phenomenon whereby heat is used to remove moisture from a material.

Fruit juice contains about 85% water, that means the remaining fruit content is 25%

The average water content of fruits is about 89%, this means that the remaining fruit content is 11%.

Dried fruit contains about 20% water which means that the remaining fruit content is 80%.

If we assume that each cup serving weighs 1kg this implies that;

The real fruit content (vitamins, minerals etc) masses are;

Fruit juice = 0.25kg

Fruit = 0.11kg

Dried fruit = 0.8kg

We can see that the mass of the fruit content in the dried fruit is twice more than than of the fruit and fruit juice individually. This is why half cup of dry fruit is equated to one cup of the other two.

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Marginal cost At a certain factory the marginal cost is 3(q-4)^2 dollars per unit when the level of production is q units.
viktelen [127]

Answer:

a.) C(q) =  -(1/4)*q^3 +  3q^2  -  12q + OH          b.) $170

Step-by-step explanation:

(a) Marginal cost is defined as the decrease or increase in total production cost if output is increased by one more unit. Mathematically:

Marginal cost (MC) = change in total cost/change in quantity

Therefore, to derive the equation for total production cost, we need to integrate the equation of marginal cost with respect to quantity. Thus:

Total cost (C) = Integral [3(q-4)^2] dq = -(1/4)*(q-4)^3 + k

where k is a constant.

The overhead (OH) = C(0) = -(1/4)*(0-4)^3 + k = -16 + k

C(q) = -(1/4)*(q^3  - 12q^2  + 48q - 64) + k = -(1/4)*q^3 +  3q^2  -  12q  -16 + k

Thus:

C(q) =  -(1/4)*q^3 +  3q^2  -  12q + OH

(b) C(14) = -(1/4)*14^3 +  3*14^2  -  12*14 + 436 = -686 + 588 - 168 + 436 = $170

7 0
1 year ago
A bird sanctuary needs at least 500 lbs of corn per month. The storage shed
Phantasy [73]

Answer:

x≥(500-87)/40

Step-by-step explanation:

You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.

8 0
1 year ago
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a
Dahasolnce [82]

Answer: The comparison is mentioned below.

Step-by-step explanation:

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.

Therefore its slope = length of the equipment vertically / length of equipment horizontally

m_1=  6/4 = 3/2 = 1.5

And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.

Therefore slope, m_2=  10/6 = 5/3=1.67 (approx)

Since, m_1<m_2

Thus the slope of equipment first is less than slope of second equipment.


5 0
1 year ago
Read 2 more answers
Louis found two bakeries to provide bagels for his sub shop. The first bakery offers 350 bagels for $168.00 and the second baker
borishaifa [10]

Answer:

<h2>$352</h2>

Step-by-step explanation:

Find out the price of one bagel by dividing the price by the number of bagels:

350 Bagels = $168

1 Bagel = $0.48

475 Bagels = $209

1 Bagel = $0.44

0.48 > 0.44

This means the second bakery has the lower price.

Louis wants 800 bagels, so multiply the price by 800.

0.44 * 800 = $352

You can check it's lower by comparing it with the first bakery.

0.48 * 800 = $384

384 > 352

5 0
1 year ago
Given the line below.
Yanka [14]

We have to write the equation of the line, in point-slope form. Given an identified point (x1, y1) as the point (-2, 2). So that means x1=-2 and y1=2

Value of slope "m" is not given so i will keep using "m" for the slope. In case value of slope m is given in the problem then you can plug that number in place of m.

Point slope formula is given by:

y-y_1=m\left(x-x_1\right)

plug the given values into above formula :


y-\left(2\right)=m\left(x-\left(-2\right)\right)

y-2=m\left(x+2\right)

so the required answer in point slope form is y-2=m\left(x+2\right)

8 0
2 years ago
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