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Alexus [3.1K]
3 years ago
15

Maximizing yield. Hood Apple Farm harvests an average of 30 bushels of apples per tree when 20 trees are planted on an acre of g

round. If 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield
Mathematics
1 answer:
strojnjashka [21]3 years ago
3 0

Answer:

In order to get the highest yield, 25 tress should be planted

Step-by-step explanation:

Given the data in the question;

Let n be number bushel, b is bushels per tree, t is number of trees

from the question, if t = 20, b = 30

and if t = 21 then b = 29

so t + b is constant

t + b = 50 ----- let this be equation

now, n = t × b

so b = n / t

hence from equation, we input b = n/t

t + n/t = 50

n/t = 50 - t

n = t(50 - t)

n = 50t - t²

now we get the derivatives

Note, The maximum amount of trees is simply where the derivative is equal zero, so;

0 = 50 - 2t

2t = 50

t = 50/2

t = 25

Therefore, In order to get the highest yield, 25 tress should be planted

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Answer:

102 mg

Step-by-step explanation:

Let's convert 28 pounds to kgs.

Since 1 kg = 2.2 pounds, we can find:

\frac{1Kg}{2.2Pounds}=\frac{xKg}{28Pounds}\\1*28=2.2x\\28=2.2x\\x=\frac{28}{2.2}\\x=12.73

So 28 pounds is 12.73 Kg

Since 8mg is given per kg, for 12.73 kg, the amount given should be:

12.73 * 8 = 101.84

Rounded to nearest whole number, that is, 102 mg

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3 years ago
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Step-by-step explanation:

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3 years ago
Suppose we want to choose 5 objects, without replacement, from 13 distinct objects. (a) How many ways can this be done, if the o
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Answer:

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B. 154,440 ways

Step-by-step explanation:

A. We want to choose 5 objects from a total 13, without considering the order in which they are chosen.

The correct way to do this is by using the combination formula since order is not considered;

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13!/(13-8)!8! = 13!/5!8! = 1,287 ways

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Read as n permutation r;

Using the numbers involved, we have ; 13 P 5

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I hope that this helps!

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What is 10 more than 124
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Step-by-step explanation:

10 + 124 is 134

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