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Home Question Bank Math Archive 2025 January 17

Math Questions from Jan 17,2025

Browse the Math Q&A Archive for Jan 17,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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10 The function \( h \) is defined as \( h(x)=\frac{x-5}{2} \) Solve the equation \( h^{-1}(x)=6 x \) 1 CALCULA LA VABIACION NSTANTANEA DE LA FONCION \( f(x)=5 x^{2}-12 \times \operatorname{LE} \) DE ABSCISA \( x_{0}=3 \) EN EL PONTO DE \begin{tabular}{|c} Solve the equation \( 3 f-2 g=5+h \) for \( f \). \\ \( f=\frac{-5-h+2 g}{3} \) \\ \( f=5+h+2 g \) \\ \\ \( \square=\frac{5+h-2 g}{3} \) \\ \hline\end{tabular} A motorist travelled 130 kilometers in the first 4 hours of his journey and then 110 kilometer in the next 4 hours. What was his average speed in kilometers perhours? (a) \( \square 25 \) (b) \( \square 27.5 \) (c) \( \square 30 \) (d) \( \square 32.5 \) (e) \( \square 35 \) A company's sales in Seattle were \( \$ 370,000 \) in 2012, while their sales in Portland were \( \$ 230,000 \) for the same year. Complete the following statements: a. Seattle's sales were \%. Portland sales were than Portland's. c. Portland sales were smaller than Seattle's. \%ive answers accurate to at least one decimal place. Find the infinite sum of the geometric sequence with \( a=6, r=\frac{3}{8} \) if it exists. \( S_{\infty}=\square \) Question Help: \( \square \) Video Submit Question 132. एक पुस्तक में 300 पृष्ठ हैं और प्रत्येक पृष्ठ में 10 शब्दों की 20 पंक्तियाँ हैं । पुस्तक में कुल कितने शब्द हैं ? A book has 300 pages and each page has Solve the equation \( 36=7 \mathrm{~m}+5 \mathrm{~m} \). What is the value of \( m \) ? Given two lines with slopes of \( m_1 = 5 \) and \( m_2 = -\frac{1}{5} \), determine if the lines are parallel, perpendicular, or neither. The population of a town increased from 3050 in 2005 to 4250 in 2011. Find the absolute and relative (percent) increase. Absolute increase: Relative increase: Give answers accurate to at least 1 decimal place.
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