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Home » Distance at 60 km/h**: \( 60 \times 2.5 = 150 \) km. - Simpleprint

Distance at 60 km/h**: \( 60 \times 2.5 = 150 \) km. - Simpleprint

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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🔥 Popular Posts

Solving, \( 8w = 64 \).
So, \( w = 8 \).
A sequence is defined recursively by \( a_1 = 2 \) and \( a_{n} = 3a_{...
\( a_2 = 3 \times 2 + 4 = 10 \)
\( a_3 = 3 \times 10 + 4 = 34 \)
\( a_4 = 3 \times 34 + 4 = 106 \)
#### 106
The sum of the first \( n \) terms of an arithmetic series is given by...
\( S_{10} = \frac{10}{2}(2 \times 5 + (10-1) \times 3) \)
\( S_{10} = 5(10 + 27) = 5 \times 37 = 185 \)

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10^2 = 58 + 2ab \implies 100 = 58 + 2ab \implies 2ab = 42 \implies ab...
Sustituimos en la identidad:
a^3 + b^3 = (10)(58 - 21) = 10 \times 37 = 370
Por lo tanto, el valor de $a^3 + b^3$ es $\boxed{370}$.
Pregunta: Si $x + y = 5$ y $xy = 6$, encuentra el valor de $x^2 + y^2$...
Usamos la identidad:
x^2 + y^2 = (x + y)^2 - 2xy
Sustituyendo los valores dados:
x^2 + y^2 = 5^2 - 2 \times 6 = 25 - 12 = 13
Por lo tanto, el valor de $x^2 + y^2$ es $\boxed{13}$.

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