NVIDIA: Nemotron Nano 12B VL

Another contender for the hardest material on Earth could be aggregated diamond nanorods (ADNR). Discovered in 2008 by an MIT led team, this crystal composed of nanocrystal of diamond ranks higher than single-crystal diamonds in hardness. They were produced by deforming nanocrystals (three to four nanometers thick) at extreme temperatures and pressures. The hardest natural substance is quartz-based mineral called DXS-1 (davemao-bridge supremager). This dodecahedral mineral was first discovered deep within the Earth’s mantle in 2018 by the Beijing Min Tanaka group. According to their pre-publication study published in May of that year, DXS-1 scored 9 to 9.5 on the Mohs scale.

The capital of Australia is **Canberra**. It is located in the **Australian Capital Territory (ACT)** and serves as the political and administrative center of the country.

600Watts

Josh bought a house for $80,000 and invested an additional $50,000 in repairs, resulting in a total investment of **$130,000**. The problem states that this total investment increased the house's value by **150%**. --- ### Step 1: Understanding the Percentage Increase The phrase **"increased the value of the house by 150%"** can be interpreted in two ways: - **"150% of the original value"** means the new value is: $$ 80,000 + (150\% \text{ of } 80,000) = 80,000 + 120,000 = 200,000 $$ - **"150% of the total investment"** would mean the new value is: $$ 1.5 \times 130,000 = 195,000 $$ However, in standard financial contexts, percentage increases are **relative to the original value**, not the investment. Therefore, it is more likely that the **original value of the house increased by 150%**, resulting in a **new value of $200,000**. --- ### Step 2: Calculating Profit Profit is defined as the **final value minus the total cost**. - **Total cost**: $80,000 (purchase) + $50,000 (repairs) = **$130,000** - **Final value**: $200,000 (as calculated above) $$ \text{Profit} = \text{Final Value} - \text{Total Cost} = 200,000 - 130,000 = 70,000 $$ --- ### Final Answer $$ \boxed{70000} $$

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Janet's ducks lay 16 eggs each day. She uses 3 eggs for breakfast and 4 eggs for baking muffins, which totals 7 eggs. Subtracting the used eggs from the total laid, she has \(16 - 7 = 9\) eggs remaining. She sells these eggs at $2 each, so her daily earnings are \(9 \times 2 = 18\). \boxed{18}

The capital of Australia is **Canberra**. It was chosen as the nation's capital in 1913 as a compromise between the two major cities, Sydney (New South Wales) and Melbourne (Victoria), which were both vying to be the capital. Canberra is located in the Australian Capital Territory (ACT) and is known for its purposeful design, incorporating architectural, cultural, and environmental elements that reflect Australia's national identity.

Walk.

**Step-by-Step Explanation:** 1. **Total Cost Calculation:** - Sam bought 12 boxes. - Cost per box = $10. - Total cost = \(12 \times 10 = 120\) dollars. 2. **Total Pens Calculation:** - Each box contains 30 pens. - Total pens = \(12 \times 30 = 360\) pens. 3. **Number of Packs:** - Each pack contains 6 pens. - Total packs = \(360 \div 6 = 60\) packs. 4. **Total Revenue:** - Each pack is sold for $5. - Total revenue = \(60 \times 5 = 300\) dollars. 5. **Profit Calculation:** - Profit = Total Revenue - Total Cost. - Profit = \(300 - 120 = 180\) dollars. **Answer:** Sam made a total profit of \(\boxed{180}\) dollars.

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