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Home » The circle has radius 10, so $r = 10$ is on the boundary — valid. - Get link 4share

The circle has radius 10, so $r = 10$ is on the boundary — valid. - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A science fiction writer is creating a universe where each colony ship carries 5000 settlers and travels 120 light-years to a habitable planet over 40 years at constant speed. If the writer wants to calculate the ship’s speed as a fraction of the speed of light, what is the result?

📌 Speed = Distance ÷ Time = 120 light-years ÷ 40 years = <<120/40=3>>3 times the speed of light.

📌 Expressed as a fraction of the speed of light, this is 3/1, but since no object can exceed light speed, this exceeds physical laws—however, mathematically, the value is 3.

📌 A clean tech startup produces solar panels that generate 300 watts per square meter. A venture capitalist funds a project installing 250 square meters across a solar farm. If the system operates at 85% efficiency due to weather and maintenance, how much actual power in watts is generated?

📌 Total potential power = 250 m² × 300 W/m² = <<250*300=75000>>75,000 watts.

📌 Actual output at 85% efficiency = 75,000 × 0.85 = <<75000*0.85=63750>>63,750 watts.

📌 #### 63750

📌 A biologist studying a rare plant species finds that 40% of 200 individual plants exhibit a drought-resistant gene. If she selects 50 plants at random for further study, how many are expected to carry the gene based on proportion?

🔥 Popular Posts

Un train parcourt 150 km Ã 50 km/h puis 200 km Ã 100 km/h. Quelle es...
Temps pour la premiÃ¨re partie : \( rac{150}{50} = 3 \) heures.
Temps pour la deuxiÃ¨me partie : \( rac{200}{100} = 2 \) heures.
Distance totale : \( 150 + 200 = 350 \) km.
Temps total : \( 3 + 2 = 5 \) heures.
\[ rac{350}{5} = 70 ext{ km/h} \]
La vitesse moyenne est de 70 km/h.
#### 70
Le produit de deux nombres pairs consÃ©cutifs est 288. Trouvez les nom...
Soient les nombres \( x \) et \( x+2 \).

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