NVIDIA: Nemotron 3 Nano Omni

The hardest natural substance knownon Earth is **diamond**. - **Mohs hardness:** 10 (the maximum on the Mohs scale) - **Composition:** Pure carbon crystals arranged in a strong, three‑dimensional lattice. Because of its exceptional resistance to scratching and abrasion, diamond is used in industrial cutting tools, drill bits, and other applications where the hardest material is required. (Other extremely hard minerals—like lonsdaleite, a hexagonal form of carbon found in meteorite impact sites, and wurtzite boron nitride—approach diamond’s hardness under special conditions, but diamond remains the hardest naturally occurring substance under ordinary conditions.)

The capital of Australiais **Canberra**.

600Watts

Josh’s total outlay was \[ \text{Purchase price} + \text{Repair cost}= \$80{,}000 + \$50{,}000 = \$130{,}000. \] The repairs raised the house’s value by **150 %** of its original value. A 150 % increase means the new value is: \[ \text{Original value} + 1.5 \times \text{Original value}= 2.5 \times \text{Original value}. \] So the house is now worth \[ 2.5 \times \$80{,}000 = \$200{,}000. \] Profit = selling price – total cost: \[ \$200{,}000 - \$130{,}000 = \boxed{\$70{,}000}. \]

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She has\(16\) eggs total. - She eats \(3\) eggs. - She uses \(4\) eggs for muffins. Eggs left to sell: \(16 - (3 + 4) = 16 - 7 = 9\) eggs. At \$2 per egg, she makes \(9 \times 2 = \$18\) each day. \[ \boxed{18} \]

The capital of Australia is**Canberra**.

Walk

Sam’stotal cost: - 12 boxes × $10 per box = **$120** Total pens: - 12 boxes × 30 pens per box = **360 pens** Packs of 6 pens: - 360 pens ÷ 6 pens per pack = **60 packs** Revenue: - 60 packs × $5 per pack = **$300** Profit: - $300 (revenue) – $120 (cost) = **$180** **Profit = $180**.

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