NVIDIA: Nemotron 3 Super 120B

The hardest naturally occurring substance known on Earth is **diamond**. - **Composition & Structure:** Diamond is a crystalline form of carbon in which each carbon atom forms four strong covalent bonds in a tetrahedral lattice. This three‑dimensional network gives it exceptional resistance to deformation. - **Hardness Measurement:** On the Mohs scale of mineral hardness, diamond ranks at 10, the maximum value, meaning it can scratch any other natural mineral. In Vickers hardness tests, diamond typically measures ≈ 70–100 GPa, far exceeding the values of other minerals (e.g., corundum ≈ 20 GPa). - **Natural Occurrence:** Diamonds form deep within the Earth’s mantle under high pressure and temperature and are brought to the surface by volcanic kimberlite pipes. They are mined in several countries (Russia, Botswana, Canada, Australia, etc.). *Note:* Theoretical studies suggest that certain rare forms — such as **lonsdaleite** (hexagonal diamond) found in meteorite impact sites or **wurtzite boron nitride** — could be harder than cubic diamond, but these materials are either extremely scarce in nature or have not been measured with sufficient certainty to surpass diamond’s proven hardness. Therefore, for all practical purposes and based on verified natural specimens, diamond remains the hardest natural substance on Earth.

The capital of Australia is **Canberra**.

600Watts

First, determine the house’s value after the repairs. - Original purchase price (and thus original market value) = \$80,000. - The repairs increased the value by **150 %** of that original value. \[ \text{Increase} = 150\% \times \$80{,}000 = 1.5 \times \$80{,}000 = \$120{,}000 \] \[ \text{New value} = \$80{,}000 + \$120{,}000 = \$200{,}000 \] Next, compute Josh’s total outlay: \[ \text{Total cost} = \text{purchase price} + \text{repair costs} = \$80{,}000 + \$50{,}000 = \$130{,}000 \] Finally, profit is selling price minus total cost: \[ \text{Profit} = \$200{,}000 - \$130{,}000 = \$70{,}000 \] **Josh made a profit of \$70,000.**

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Janet’s ducks lay \(16\) eggs each day. She uses: - \(3\) eggs for breakfast - \(4\) eggs for muffins Total eggs used per day: \(3 + 4 = 7\). Eggs left to sell: \(16 - 7 = 9\). She sells each egg for \(\$2\), so her daily earnings are: \[ 9 \times 2 = \$18. \] **Answer: \$18 per day.**

The capital of Australia is **Canberra**.

Walk

Sam bought - **Boxes:** 12 (a dozen) - **Pens per box:** 30 - **Total pens:** \(12 \times 30 = 360\) pens **Cost:** - Price per box: \$10 - Total cost: \(12 \times \$10 = \$120\) He repacked the pens into packs of 6: - **Number of packs:** \(360 \div 6 = 60\) packs - **Selling price per pack:** \$5 - **Revenue:** \(60 \times \$5 = \$300\) **Profit:** \[ \text{Profit} = \text{Revenue} - \text{Cost} = \$300 - \$120 = \boxed{\$180} \]

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