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iren [92.7K]
1 year ago
13

Anita’s vegetable garden is 21 square feet larger than Fred’s vegetable garden. Anita and Fred decide to pool their money togeth

er and buy the same kind of fencing for their gardens. If they need 84 square feet of fencing what is the size of each garden.
Mathematics
1 answer:
ziro4ka [17]1 year ago
5 0

Answer:

anita --> 52.5 square feet

fred --> 31.5 square feet

Step-by-step explanation:

84 - 21 = 63

63/2 = 31.5

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A company makes a product and has no way to determine which ones are faulty until an unhappy customer returns it. Three percent
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Dimensional Analysis Method (also called conversion factor or unit analysis) (Appendix D: Dimensional Analysis, Page 397) o The
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Answer:

The dimensional analysis method uses equivalences written in <u>fractional</u> form. Because the numerator and denominator of the fraction are equivalent, the value of the fraction is <u>1.</u> Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label). In order for units to cancel they must be in <u>the numerator and the denominator</u> of the fraction

Step-by-step explanation:

Dimensional analysis is a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication

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4 0
1 year ago
The endpoints of line AB are A(2, 2) and B(3, 8). Line AB is dilated by a scale factor of 3.5 with the origin as the center of d
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Find the quantity q that maximizes profit if the total revenue, R(q), and total cost, C(q) are given in dollars by R(q)=3q−0.002
marysya [2.9K]

Answer:

The value of q that maximize the profit is q=200 units

Step-by-step explanation:

we know that

The profit is equal to the revenue minus the cost

we have

R(q)=3q-0.002q^{2} ---> the revenue

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The profit  P(q) is equal to

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substitute the given values

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P(q)=3q-0.002q^{2}-200-2.2q

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This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the value of q that maximize the profit

The y-coordinate of the vertex represent the maximum profit

using a graphing tool

Graph the quadratic equation

The vertex is the point (200,-120)

see the attached figure

therefore

The value of q that maximize the profit is q=200 units

6 0
2 years ago
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