2. Motivación de Educación Financiera e Historia del Dinero - Refuerzo: Línea de tiempo sobre la evolución del dinero desde el trueque hasta las criptomonedas. 3. ¿Quién fábrica o elabora el dinero, o papel moneda y las monedas de un país?

24 Consider the equation of the second degree in \( x: x^{2}-(m+3) x+m=0 \), where \( m \) is a real parameter. Show that there is between the roots, when they exist, an independent relation from \( m \). (Eliminate \( m \) between \( S \) and \( P) \).

Volume of a Tank A civil engineering firm is tasked with designing a new water storage tank for a municipal water supply system. The engineers want the tank to have an efficient shape that maximizes storage capacity while minimizing the amount of construction material used. The tank's cross-section will be shaped by revolving the regions bounded by the lines and curves, \( x=\sqrt{2 \sin ^{2} y} \) \( 0 \leq y \leq \frac{\pi}{2}, x=0 \) about the \( y \)-axis. The goal is to determine the volume of the tank that will be created by this revolution around the \( y \)-axis. 4.1 Source: Mafemba, J. (2024) a. Calculate the volume of the solid generated by revolving the regions bounded by the lines and curves mentioned in the scenario above

Assume the following: \( \bar{x}=42 \) s=6 \( n=25 \) Calculate confidence intervals for a \( 95 \% \) confidence level. Calculate confidence intervals for a \( 99 \% \) confidence level.

a. \( 25 a^{2}+54 a b+49 b^{2} \)

In un rettangolo il perimetro è di 40 cm e l'al terra èil triplo della base. Calcola la lunghezz detle due dimensioni. \( \quad \) [ 5 cm ; 15 cm