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Home Question Bank Math Pre Algebra Archive 2024 December 27

Pre-algebra Questions from Dec 27,2024

Browse the Pre-algebra Q&A Archive for Dec 27,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Simplify the expression. \( -19+\left(\frac{-4.5+6.87}{3}\right) \cdot 5^{2}-7.3 \) Find the recursive formula for the arithmetic sequence \( 7,5,3,1,-1, \ldots \) \( a_{1}=7, a_{n}=-2 a_{n-1} \) \( a_{1}=7, a_{n}=a_{n-1}+2 \) \( a_{1}=7, a_{n}=2 a_{n-1} \) \( a_{1}=7, a_{n}=a_{n-1}-2 \) Given the recursive formula for the geometric sequence \( a_{1}=5, a_{n}=\frac{2}{5} a_{n-1} \), find the second term of the sequence. (1 point) \( a_{2}=\frac{8}{5} \) \( a_{2}=2 \) \( a_{2}=\frac{2}{5} \) \( a_{2}=5 \frac{2}{5} \) Given the recursive formula for the arithmetic sequence \( a_{1}=-5, a_{n}=a_{n-1}+4 \), find the first three terms of the sequence. ( 2 points) \( a_{1}=\square, a_{2}=\square \), and \( a_{3}= \) One whole \( =\frac{3}{8}+\square \) ¿Cuál es el y-intercepto de la función exponencial \( f(x) = 2^x \)? Simplify: \( -2 \sqrt{6}-3 \sqrt{54}+4 \sqrt{2}+3 \sqrt{32}-2 \sqrt{24} \) 10. Convert \( 3.25 \overline{476} \) into fraction form. El desarrollo de cierta planta descrile una liniea recta que pasa por los puntos A \( (2,1) \) y B( 4,3\( ) \), entonces se puede conchur que la planta esta: (A) detentida. (B) decreciendo. (C) constanke. (D) creclendo. Sea \( A=\{1,2,3\} \) y \( B=\{1,2,3,4,5,6\} \) y \( R \) la relación de \( A \) en \( B \) definida por "el doble de", entonces, , cuál de las sigutentes alternativas representa la funcion de la relación \( R \) ? (A) \( R=\{(2,1),(4,2),(6,3)\} \) (B) \( R=\{(1,2),(2,4),(2,6)\} \) (C) \( R=\{(1,1),(1,4),(1,6)\} \) (D) \( R=\{(1,2),(2,4),(3,6)\} \)
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