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Home » The image is formed 12 cm from the lens on the opposite side. - Crankk.io

The image is formed 12 cm from the lens on the opposite side. - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 First term \( a = 3 \), common ratio \( r = 0.5 \)

📌 Sum: \( S = \frac{a}{1 - r} = \frac{3}{1 - 0.5} = \frac{3}{0.5} = 6 \)

📌 Find the derivative of \( f(x) = x^3 - 3x^2 + 5x - 7 \) at \( x = 2 \).

📌 \( f'(x) = 3x^2 - 6x + 5 \)

📌 \( f'(2) = 3(2)^2 - 6(2) + 5 = 12 - 12 + 5 = 5 \)

📌 A circle has a circumference of 31.4 meters. What is the radius of the circle? (Use π = 3.14)

📌 To find the radius \( r \), use the formula for circumference:

📌 \[ C = 2\pi r \]

🔥 Popular Posts

c = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10
The cosine of the angle \(\theta\) opposite the shorter leg (6 cm) is:
\cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{8}{10}...
Thus, the hypotenuse is \(c = 10\) and \(\cos \theta = 0.8\), giving:
\boxed{10, \, 0.8}
A circle is circumscribed around a square with side length \(5 \, \tex...
The diagonal of the square is the diameter of the circumscribed circle...
d = \sqrt{5^2 + 5^2} = \sqrt{50} = 5\sqrt{2}
The radius \(r\) of the circle is half the diagonal:
r = \frac{5\sqrt{2}}{2}

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