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157. Una bombola a pareti rigide di 30 L contiene \( 0,5 \mathrm{moli} \) di un gas perfetto biatomico alla temperatura iniziale di \( 20^{\circ} \mathrm{C} \). Essa viene tenuta sotto il sole per un certo tem- po e si nota che la temperatura finale è di \( 80^{\circ} \mathrm{C} \). Trascu- rando la dilatazione termica della bombola, si calcoli: - il lavoro fatto dal gas; - la variazione di pressione del gas; - la variazione di energia interna del gas. [0 J; \( \left.8,3 \times 10^{3} \mathrm{~Pa} ; 6,2 \times 10^{2} \mathrm{~J}\right] \) (Esame di Fisica, Corso di laurea in Farmacia, Università La Sapienza di Roma, 2006/2007)
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\( 2.1 \quad \) Solve for \( p \) and \( q \) simultaneously. \[ q+2 p=2 \text { and } q^{2}+2 p^{2}=3 q p \]
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4.) What can you infer from these sources about the dedication of women like Alice Paul to the movement?
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10. Use any method to solve the system: \( \left\{\begin{array}{l}x^{2}+y^{2}=9 \\ y=3-x^{2}\end{array}\right. \)
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EJERCICIO 7 -1 Se muestran las tallas de calzado de los últimos 20 clientes que han entrado a una zapatería \[ \begin{array}{l}25,22.5,26,26.5,27,25,23,24,24,23,24,24.5,24.5,24,23.5,24.5 \\ 23.5,24.5,25,23.5\end{array} \] Ordena las tallas y elabora una gráfica de columnas para representar los datos
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Given: \( \frac{2 m-3}{3}-3 \geq \frac{2 m}{6} \)
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7.1 \( \begin{array}{l}\text { Drie jaar gelede was die prys van 'n brood R14, } 14 \text { elk. As die gemiddelde } \\ \text { inflasiekoers } 4,8 \% \text { vanaf } 2021 \text { tot op hede was, bepaal wat die prys van } \\ \text { een brood nou sal wees. }\end{array} \) 7.2 'n Bakkery koop 'n nuwe industriële oond teen 'n koste van R65 000 . 'n Lening is uitgeneem by 'n geregistreerde finansiële instansie, wat \( 9 \% \) enkelvoudige rente vir die eerste 2 jaar en \( 6 \% \) saamgestelde rente vir die laaste twee jaar van die lening hef. Bereken die totale bedrag wat die bakkery hierdie finansiële instansie sal moet betaal aan die einde van die 4-jaarlening.
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zoberto bought a \( \$ 270,000 \) house, paying \( 20 \% \) down, and financing the rest at \( 4.6 \% \) interest for 30 years. fer monthly payments are \( \$ 1107.31 \). How much will he really pay for her \( \$ 270,000 \) house? Roberto will pay a total of \( \$ \square \) for the house.
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Question Use Newton's method with the specified initial approximation \( x_{0} \) to find \( x_{2} \), the third approximation to the root of the equation given below. Round your answer to the nearest thousandth. \[ f(x)=x^{3}-10 x-2, \quad x_{0}=1 \] Sorry, that's incorrect. Try again? \[ x_{2} \approx \square \]
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