NVIDIA: Nemotron 3 Nano 30B

The hardest naturally occurring material knownon Earth is **diamond**. - **Mohs hardness:** 10 (the highest value on the Mohs scale). - **Composition:** Pure carbon arranged in a crystal lattice of strong covalent bonds. - **Key properties:** Extremely high thermal conductivity, excellent optical transparency, and resistance to scratching by any other natural substance. ### Other Very Hard Natural Materials While diamond remains the benchmark for hardness, a few other naturally occurring substances come very close: | Material | Approx. Mohs Hardness | Notes | |----------|----------------------|-------| | **Wurtzite boron nitride** | ~18 (theoretical) | Structurally similar to diamond but with alternating B and N atoms; predicted to be slightly harder under certain conditions, but only found in tiny laboratory‑synthesized crystals. | | **Lonsdaleite (hexagonal diamond)** | ~15–20 | Formed during meteorite impacts; has a hexagonal crystal structure that can yield higher hardness than cubic diamond in ideal samples. | | **Aggregated diamond nanorods (ADNR)** | ~30–35 (under compression) | Synthetic but derived from natural diamond; can withstand pressures that would crush ordinary diamond. | These materials are either extremely rare, only exist under specific high‑pressure conditions, or are largely synthetic. In everyday terms, when people refer to “the hardest natural substance,” they mean **diamond**.

The capital of Australia is **Canberra**.

600Watts

**Step‑by‑stepcalculation** 1. **Purchase price** = \$80,000 2. **Repair costs** = \$50,000 - Total cash outlay (investment) = \$80,000 + \$50,000 = **\$130,000** 3. “Increased the value of the house by **150 %**” means the house’s value grew **by** 150 % of its original worth. - Original worth (baseline) = the purchase price = \$80,000 - 150 % of \$80,000 = 1.5 × \$80,000 = **\$120,000** increase 4. **New market value** after the repairs \[ \text{New value} = \text{Original value} + \text{Increase} = \$80,000 + \$120,000 = **\$200,000** \] 5. **Profit** is what’s left after subtracting the total money invested from the new market value: \[ \text{Profit} = \text{New value} - \text{Total investment} = \$200,000 - \$130,000 = **\$70,000** \] --- ### Answer Josh’s profit from flipping the house is ** \$70,000 **.

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She starts with **16eggs** each day. - She eats **3 eggs** for breakfast. - She uses **4 eggs** to bake muffins. Total eggs used before selling: \(3 + 4 = 7\) eggs. **Eggs left to sell:** \(16 - 7 = 9\) eggs. She sells each egg for **$2**. Revenue from the market: \(9 \times \$2 = \$18\). \[ \boxed{18} \] dollars each day.

The capital of Australia is**Canberra**.

Walk

**Step‑by‑step calculation** 1. **Cost of the original purchase** - 12 boxes × $10 per box = **$120**. 2. **Total number of pens** - Each box has 30 pens → 12 boxes × 30 pens = **360 pens**. 3. **Packs of 6 pens each** - 360 pens ÷ 6 pens per pack = **60 packs**. 4. **Revenue from selling the packs** - 60 packs × $5 per pack = **$300**. 5. **Profit** - Profit = Revenue – Cost = $300 – $120 = **$180**. --- **Answer:** Sam made a total profit of **$180**.

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