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nignag [31]
2 years ago
9

Someone help me with this it’s due tonight !

Mathematics
1 answer:
Drupady [299]2 years ago
4 0
Yeah just hmu, i’ll fill it out
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3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
g100num [7]

Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

3 0
3 years ago
What if the value of x? show all work
alina1380 [7]
For this case we can make use of the Pythagorean theorem.
 We have then:
 (root (117)) ^ 2 = x ^ 2 + 6 ^ 2
 Clearing x we have:
 x ^ 2 = (root (117)) ^ 2 - 6 ^ 2
 Rewriting:
 x = root (117-36)
 x = root (81)
 x = 9
 Answer:
 
The value of x is given by:
 
x = 9 cm
4 0
3 years ago
The wall is to be 5ft by 7 ft. A brick is 4 inches by 12 inches. How many bricks are needed
Tatiana [17]

you need 83 bricks i believe

3 0
3 years ago
How do you reflect something on a coordinate plane?
nordsb [41]
<span>Just like looking at a mirror image of yourself, but flipped....a reflection point is the mirror point on the opposite axis.</span>
7 0
3 years ago
Find a compatible dividend for the division problem.<br><br> 492 divided 87<br> ? Divided 90
jeyben [28]

Answer:

0.0628352490421456‬ or 0.1

Step-by-step explanation:

Step by step solution :

Step  1  :

           164

Simplify   ———

           29  

Equation at the end of step  1  :

 164

 ——— ÷ 90

 29  

Step  2  :

        164      

Divide  ———  by  90

        29        

Final result :

  82            

 ———— = 0.06284  

 1305          

7 0
3 years ago
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