Use properties of logarithms to condense the loga expressions. \( \frac{1}{8}\left[3 \ln (x+5)-\ln x-\ln \left(x^{2}-36\right)\right] \) \( \frac{1}{8}\left[3 \ln (x+5)-\ln x-\ln \left(x^{2}-36\right)\right]=\square \) (Type an exact answer, using radicals as needed. T

Evaluate \( \int(2 \mathrm{x}+3)^{2} \mathrm{dx} \) 1. \( 1 / 6(2 \mathrm{x}+3)^{2}+\mathrm{C} \) 2. \( 1 / 3(2 \mathrm{x}+3)^{3}+\mathrm{C} \) 3. \( 5 / 6(2 \mathrm{x}+3)^{3}+\mathrm{C} \) 4. \( 1 / 6(2 \mathrm{x}+3)^{3}+\mathrm{C} \) 5. \( 1 / 6(3 \mathrm{x}+2)^{3}+\mathrm{C} \)

ANALIZA Selecciona la cantidad de ele- mentos que completa adecuadamente el experimento aleatorio. Para la excursión de colegio se deben selec- cionar 4 niños de los que fueron capacitados para armar las carpas. Se pueden formar 5 grupos diferentes de 4 niños. 3 niños 4 niños 5 niños

Surface area of a right circular cylinder. The area of a right circular cylinder is given by the polynomial \( 2 \pi r^{2}+2 \pi r^{2} \) where \( h \) is the height and \( r \) is he radius of the base. Suppose that a beverage can has a height of 6.4 in . and a radius of 1.2 in . Evaluate the polynomial when \( h=6.4 \) and \( =1.2 \) to find the area of the can. Use 3.14 for \( \pi \). The surface area is \( \square \mathrm{in}^{2} \). (Round to the nearest hundredth.)

Jorge fue al mercado hiba con su perrito y compro 2 Kilos con 3 cuarto, de croqueta, 5 tercio de azicar, medio Kito de arroz, 2 cuartos de kilo de tortilla, medio octavo de queso de ooxaca, cuales el pesi tatal de la botsa

Luis Gomez 09/19/24 9:13 PM The polynomial \( 0.041 \mathrm{~h}-0.018 \mathrm{a}-2.69 \) can be used to estimate the lung capacity, in liters, of a female with height \( h \), in centimeters, and age a, in years. Find the lung capacity of a 60 -year-old woman who is 140 centimeters tall. \( 32.78 \%, 6.56 \) of 20 points Her lung capacity is approximately \( \square \) liters. (Round to the nearest hundredth.)