Gemini 3.5 Flash

The hardest naturally occurring substance on Earth is **diamond**. On the Mohs scale of mineral hardness—which rates minerals from 1 (softest, like talc) to 10 (hardest)—diamond sits at the very top with a score of **10**. ### Why is diamond so hard? Diamonds are made of pure carbon. At the atomic level, each carbon atom is bonded to four other carbon atoms in a dense, three-dimensional tetrahedral structure. These are strong covalent bonds, making the crystal lattice incredibly rigid and resistant to scratching. --- ### The Technical Exception: Lonsdaleite There is a rare, naturally occurring substance that is theoretically harder than diamond: **Lonsdaleite** (also known as hexagonal diamond). * **What is it?** It is formed when graphite-rich meteorites slam into the Earth. The immense heat and pressure of the impact transform the graphite into a hexagonal crystal lattice rather than the cubic lattice of a standard diamond. * **Is it actually harder?** Computer simulations show that pure Lonsdaleite could be up to **58% harder** than a regular diamond. However, because natural specimens are microscopic and filled with impurities, no physical, natural sample of Lonsdaleite has been proven to surpass the hardness of a diamond in real-world testing yet. Therefore, for all practical purposes, **diamond** remains the hardest natural substance on Earth.

The capital of Australia is **Canberra**.

800Watts

To find the profit Josh made, we need to calculate his total expenses and the final selling price of the house. **Step 1: Calculate the total expenses (investment)** Josh's total investment is the purchase price plus the cost of repairs. * **Purchase Price:** $80,000 * **Repairs:** $50,000 * **Total Expenses:** $\$80,000 + \$50,000 = \$130,000$ **Step 2: Calculate the new value of the house** The repairs increased the original value of the house ($80,000) by 150%. * **Value Increase:** $150\% \text{ of } \$80,000 = 1.5 \times \$80,000 = \$120,000$ * **New Value (Selling Price):** Original Value + Increase = $\$80,000 + \$120,000 = \$200,000$ **Step 3: Calculate the profit** Profit is the selling price minus the total expenses. * **Profit:** Selling Price - Total Expenses * **Profit:** $\$200,000 - \$130,000 = \$70,000$ Josh made a profit of **$70,000**.

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To find out how much Janet makes every day at the farmers' market, we can follow these steps: 1. **Calculate the total number of eggs Janet uses daily:** * Breakfast: 3 eggs * Baking muffins: 4 eggs * Total used = $3 + 4 = 7$ eggs 2. **Find the number of remaining eggs to sell:** * Total eggs laid: 16 eggs * Eggs left to sell = $16 - 7 = 9$ eggs 3. **Calculate the daily earnings:** * Price per egg: $2 * Daily earnings = $9 \text{ eggs} \times \$2 = \$18$ Janet makes **$18** every day at the farmers' market.

The capital of Australia is **Canberra**.

Drive

To find the total profit Sam made, we need to calculate his total cost (buying) and his total revenue (selling), and then subtract the cost from the revenue. ### Step 1: Calculate the total cost * Sam bought a dozen boxes (1 dozen = 12 boxes). * Each box cost $10. $$\text{Total Cost} = 12 \text{ boxes} \times \$10 = \$120$$ ### Step 2: Calculate the total number of pens * He has 12 boxes, and each box contains 30 pens. $$\text{Total Pens} = 12 \times 30 = 360 \text{ pens}$$ ### Step 3: Calculate the number of packs made * He repackaged the 360 pens into packs of 6. $$\text{Total Packs} = 360 \div 6 = 60 \text{ packs}$$ ### Step 4: Calculate the total revenue * He sold 60 packs for $5 each. $$\text{Total Revenue} = 60 \text{ packs} \times \$5 = \$300$$ ### Step 5: Calculate the total profit * Profit is revenue minus cost. $$\text{Profit} = \$300 - \$120 = \$180$$ Sam made a total profit of **$180**.

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