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Home » \( h = \frac355 = 7 \) meters. - Groen Casting

\( h = \frac355 = 7 \) meters. - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Question: A geneticist modifies a plant so that it grows 1.5 times faster than a normal plant. If a normal plant grows 2 inches in a week, how many inches does the modified plant grow in the same time?

📌 Solution: Multiply the normal growth by the growth factor:

📌 \times 1.5 = 3

📌 So, the modified plant grows $ \boxed{3} $ inches in a week.

📌 Question: A drone’s camera can capture images every 6 seconds, and a second drone captures images every 10 seconds. After how many seconds will both drones capture an image at the same time?

📌 Solution: Find the least common multiple (LCM) of 6 and 10.

📌 Prime factorization:

📌 = 2 \times 3,\quad 10 = 2 \times 5

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Circumference formula: \( C = 2\pi r \).
\( 31.4 = 2 imes 3.14 imes r \Rightarrow r = rac{31.4}{6.28} = 5 \)...
Area = \( \pi r^2 = 3.14 imes 5^2 = 3.14 imes 25 = 78.5 \) cmÂ².
The area is 78.5 cmÂ².
Question**: If \( \log_2(x) + \log_2(x - 2) = 3 \), find \( x \).
Combine logs: \( \log_2(x(x - 2)) = 3 \).
So, \( x(x - 2) = 2^3 = 8 \).
\( x^2 - 2x - 8 = 0 \).
Factor: \( (x - 4)(x + 2) = 0 \).
\( x = 4 \) or \( x = -2 \).

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