Gemini 3.1 Flash-Lite

The hardest natural substance on Earth is **diamond**. Here is a breakdown of why it holds this title: * **The Mohs Scale:** The Mohs scale of mineral hardness ranks materials based on their ability to scratch one another. Diamond is at the very top of the scale with a rating of **10**. * **Crystal Structure:** Diamond is made entirely of carbon atoms arranged in an exceptionally rigid, tetrahedral crystal lattice structure. This specific arrangement of covalent bonds makes the material extremely resistant to deformation. * **Method of Formation:** Diamonds form deep within the Earth's mantle under conditions of intense heat and extreme pressure, which allows the carbon atoms to lock into this dense, indestructible structure. **Important distinction:** While diamond is the hardest *natural* substance, it is the hardest only in terms of **scratch resistance**. There are other materials—such as **wurtzite boron nitride** and **lonsdaleite** (hexagonal diamond)—that may theoretically have higher indentation hardness, but they are extremely rare and usually found only in microscopic quantities at meteorite impact sites. Furthermore, scientists have developed synthetic materials, such as **aggregated diamond nanorods (ADNRs)**, that are even harder than natural diamonds.

The capital of Australia is **Canberra**.

800Watts

To find Josh's profit, we need to calculate his total investment and the final value of the house. **1. Calculate the total investment:** * Purchase price: $80,000 * Repair costs: $50,000 * Total Investment = $80,000 + $50,000 = **$130,000** **2. Calculate the increase in value:** The problem states the value of the house increased by 150%. This refers to the value of the original purchase price. * Increase = 150% of $80,000 * Increase = 1.50 × $80,000 = **$120,000** **3. Calculate the final value of the house:** * Final Value = Original Price + Increase * Final Value = $80,000 + $120,000 = **$200,000** **4. Calculate the profit:** * Profit = Final Value - Total Investment * Profit = $200,000 - $130,000 = **$70,000** Josh made a profit of **$70,000**.

26

To find out how much Janet makes at the farmers' market, follow these steps: 1. **Calculate the total eggs used:** Janet uses 3 eggs for breakfast and 4 eggs for muffins. 3 + 4 = 7 eggs used. 2. **Calculate the remaining eggs:** Janet has 16 eggs total and uses 7. 16 - 7 = 9 eggs remaining. 3. **Calculate the total earnings:** Janet sells the 9 remaining eggs for $2 each. 9 × $2 = $18. Janet makes **$18** every day at the farmers' market.

The capital of Australia is **Canberra**.

Walk.

To calculate the total profit, follow these steps: **1. Calculate the total cost:** * Sam bought 12 boxes for $10 each. * 12 boxes × $10 = **$120 (Total Cost)** **2. Calculate the total number of pens:** * Each box contains 30 pens. * 12 boxes × 30 pens = **360 pens in total** **3. Calculate the number of packs sold:** * The pens were rearranged into packs of 6. * 360 pens ÷ 6 pens per pack = **60 packs** **4. Calculate the total revenue:** * Sam sold each pack for $5. * 60 packs × $5 = **$300 (Total Revenue)** **5. Calculate the profit:** * Profit = Total Revenue – Total Cost * $300 – $120 = **$180** Sam made a total profit of **$180**.

111