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What are the main purposes of fertilizers and what are the outputs of cattle farming? Calculate the yield for crop Q, expected yield for crop R, and area required for crop S.

Biology

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Answer

2.6 tonnes/hectare\text{2.6 tonnes/hectare}

8.5 tonnes\text{8.5 tonnes}

5.0 Hectares\text{5.0 Hectares}

Step-by-step solution

12 steps
  1. Fertilizers provide essential nutrients to plants, such as nitrogen, phosphorus, and potassium.

    These nutrients are vital for healthy growth, development of strong roots, lush foliage, and increased fruit or seed production.

    The main reason for applying fertilizer during plant growth is to replenish soil nutrients and enhance plant growth and yield.

  2. The first output of cattle farming is hides (skin).

    The second and third outputs are meat and milk.

  3. Identify the given values for crop Q.

    Yield (Y) is unknown.
    Area planted = 2.0 Hectares
    Expected Yield = 5.2 tonnes

  4. Use the formula

    Yield=Expected YieldArea planted\text{Yield} = \frac{\text{Expected Yield}}{\text{Area planted}}.

    Y=5.2 tonnes2.0 HectaresY = \frac{5.2 \text{ tonnes}}{2.0 \text{ Hectares}}
  5. Calculate Y.

    Y=2.6 tonnes/hectareY = 2.6 \text{ tonnes/hectare}

    The yield for crop Q is 2.6 tonnes/hectare\boxed{\text{2.6 tonnes/hectare}}.

  6. Identify the given values for crop R.

    Yield = 1.7 tonnes/hectare
    Area planted = 5.0 Hectares
    Expected Yield (E) is unknown.

  7. Use the formula

    Expected Yield=Yield×Area planted\text{Expected Yield} = \text{Yield} \times \text{Area planted}.

    E=1.7 tonnes/hectare×5.0 HectaresE = 1.7 \text{ tonnes/hectare} \times 5.0 \text{ Hectares}
  8. Calculate E.

    E=8.5 tonnesE = 8.5 \text{ tonnes}

    The expected yield for crop R is 8.5 tonnes\boxed{\text{8.5 tonnes}}.

  9. Identify the given values for crop S.

    Yield = 2.3 tonnes/hectare
    Expected Yield = 11.5 tonnes
    Area required is unknown.

  10. Rearrange the formula Yield=Expected YieldArea planted\text{Yield} = \frac{\text{Expected Yield}}{\text{Area planted}} to solve for Area planted.

    Area planted=Expected YieldYield\text{Area planted} = \frac{\text{Expected Yield}}{\text{Yield}}
  11. Substitute the values and calculate the area.

    Area planted=11.5 tonnes2.3 tonnes/hectare\text{Area planted} = \frac{11.5 \text{ tonnes}}{2.3 \text{ tonnes/hectare}}
  12. Perform the division.

    Area planted=5.0 Hectares\text{Area planted} = 5.0 \text{ Hectares}

    The area required for crop S is 5.0 Hectares\boxed{\text{5.0 Hectares}}.

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