La red educativa Timpony encuestó a una muestra aleatoria de 60 alumnos sobre la cantidad de tiempo que pasan viendo televisión. De los encuestados, 14 ven más de 4 horas de televisión al día en promedio. Hay 1143 estudiantes en la red educativa Timpony. Con base en esta información, ¿cuál es la estimación más razonable del número de estudiantes de la red educativa Timpony que ven más de 4 horas de televisión al día en promedio? Escoge 1 respuesta: A 14 B 233

\( \frac { d y } { d t } = ( a - y ) ( b - y ) \)

Use the distributive property to simplify the expression. \( 50(y-6) \) \( 50(y-6) \) simplifies to \( \square \). (Simplify your answer.)

Use properties of logarithms to find the exact value of the expression. Do not use a calculator. \( 7^{\log _{7} 8-\log _{7} 5} \) \( 7^{\log _{7} 8-\log _{7} 5}=\square \) (Type an integer or a simplified fraction.)

(a) Calculate the magnitude of the gravitational force exerted by Venus on a 75 kg human standing on the surface of Venus. (The mass of Venus is \( 4.9 \times 10^{24} \mathrm{~kg} \) and its radius is \( 6.1 \times 10^{6} \mathrm{~m} \).) 66.5 (b) Calculate the magnitude of the gravitational force exerted by the human on Venus. 66.5 (c) For comparison, calculate the approximate magnitude of the gravitational force of this human on a similar human who is standing 2.5 meters away. \( 5.996 \mathrm{e}-11 \times \mathrm{N} \) (d) What approximations or simplifying assumptions must you make in these calculations? (Note: Some of these choices are false because they are wrong physics!) Treat Venus as though it were spherically symmetric. Ignore the effects of the Sun, which alters the gravitational force that one object exerts on another. \( \checkmark \) Use the same gravitational constant in (a) and (b) despite its dependence on the size of the masses. \( \nabla \) Treat the humans as though they were points or uniform-density spheres.

Find the quotient using long division. \[ \frac{x^{2}+9 x+18}{x+6} \]