Math Questions from Dec 06,2024

Browse the Math Q&A Archive for Dec 06,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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El dominio de la letra 9 en la expresión es \begin{tabular}{|l} Ejercicios propuestos. \\ Desarrolla los siguientes ejercicios resueltos. Tiempo 100 minutos. \\ Fecha de entrega. Regresando de clases presenciales. \\ Derivar: \\ \( \left.\begin{array}{ll}\text { 1. } f(x)=\frac{(1-5 x)^{6}}{3} & \text { 4. } h(x)=\left(x^{4}-x\right)^{2 / 3}, \quad \text { Solución: } h^{\prime}(x)=\frac{8 x^{3}-2}{3 \sqrt[3]{x 4-x}} \\ \begin{array}{ll}\text { 2. } y=\sqrt[7]{3-2 x} \\ \text { 3. } y=a^{3} \sqrt{a x-b}\end{array}\end{array}\right] \).\end{tabular} An electric company charges per month plus per kilowatt-hour ( kWh ) for the first 250 kWh used per month and per kWh for anything over 250 kWh used. a. How much is owed for using 180 kWh per month? b. How much is owed for using 270 kWh per month? c. Write a piecewise function, , where C is the cost charged per month as a function of the monthly kilowatt-hours used, x . , and . Find and . and and and and 3. What are the characteristics of a polynomial graph regarding its extrema? If event A has a probability of and event B has a probability of , what is the probability that both events occur? 2. Varios investigadores recolectaron concentraciones de amilasa en suero de una muestra aleatoria de 150 personas aparentemente sana obtuvieron una media de 96 . Usando un nivel de significación de 0.01 , desean saber si pueden concluir que la media de la población de la cual provino la muestra de determinaciones de amilasa en suero es distinta de 120 con una desviación estándar de 35 . A cylinder has a height of 11 feet. Its volume is cubic feet. What is the radius of the cylinder? (3)
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