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Home Question Bank Math Pre Algebra Archive 2024 November 09

Pre-algebra Questions from Nov 09,2024

Browse the Pre-algebra Q&A Archive for Nov 09,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Write each expression in the form \( 2^{k x} \) or \( 3^{k x} \) for a suitable constant \( k \). \( \begin{array}{lll}\text { (a) }\left(\frac{1}{8}\right)^{2 x} & \text { (b) }\left(\frac{1}{16}\right)^{-3 x} & \text { (c) }\left(\frac{1}{81}\right)^{x / 2} \\ \text { (a) }\left(\frac{1}{8}\right)^{2 x}=\square\end{array} \) Write each expression in the form \( 2^{k x} \) or \( 3^{k x} \) for a suitable constant \( k \). \( \begin{array}{lll}\text { (a) } 16^{x} & \text { (b) }(\sqrt{3})^{x} & \text { (c) }\left(\frac{1}{27}\right)^{x} \\ \text { (a) } 16^{x}=\square & \end{array} \) a) \( (+7)+(-8)-(-6)-(+3) \) Simplify \( -4 \sqrt[5]{32 x^{22} \text { completely. Write answer in radical form. }} \) Answer \( =\square \) 6. Alejandro ahorra energía eléctrica apagando las - luces innecesarias por la noche. Se sabe que el ahorro es D.P. a la raíz cuadrada del consumo en soles. Si en un determinado mes su consu- mo fue de S/ 324 y ahorró S/ 135 , calcula su ahorro en soles, si su consumo fue de S/ 576. \( \begin{array}{lllll}\text { a. } 120 & \text { b. } 150 & \text { c. } 160 & \text { d. } 180 & \text { e. } 200\end{array} \) (D) -5 6) Cuál de las siguientes potencias es menor que \( \sqrt[3]{16} \) ? (A) \( 100^{\frac{1}{4}} \) (B) \( 16^{\frac{1}{2}} \) (C) \( 16^{\frac{1}{4}} \) (D) \( 0^{\frac{1}{2}} \) The measure of the supplement of a \( 21^{\circ} \) angle is \( \square^{\circ} \). (Simplify your answer. Type an integer or a decimal.) 1. The set of ordered pairs below represents a relation that is a function. \[ \{(-2,7),(4,6),(10,4)\} \] Which of the following points, when added to the set, would form a relation that is NOT a function? (A) \( (1,3) \) (B) \( (0,4) \) (C) \( (-2,8) \) (D) \( (-8,10) \) Noa fill in the missing terms in this linear sequence. Note: A linear sequence is also called an arithmetic sequence. Um tanque de água está com \( \frac{8}{10} \) de sua capacidade. Depois, \( \frac{1}{3} \) da água que tem é retirado. Assinale a alternativa que expressa a capacidade do tanque que restará. O. \( \frac{10}{30} \)
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