Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to \( t \). \( x^{\prime}=x-y \) \( y^{\prime}=y-9 x \) Eliminate \( x \) and solve the remaining differential equation for \( y \). Choose the correct answer below. A. \( y(t)=C_{1} e^{-2 t}+C_{2} e^{-4 t} \) B. \( y(t)=C_{1} e^{4 t}+C_{2} t e^{4 t} \) D. \( y(t)=C_{1} e^{-2 t}+C_{2} t e^{-2 t} \) E. The system is degenerate. Now find \( x(t) \) so that \( x(t) \) and the solution for \( y(t) \) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( x(t)=\square \) B. The system is degenerate.

What is the ratio of total shapes to squares?

Déterminer les valeurs du nombre enti, rel \( n \) tel que le nombre \( \frac{n^{2}+5 n+20}{n+2} \in \)

Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of \( \mu=1.1 \mathrm{~kg} \) and a standard deviation of \( \sigma=4.9 \mathrm{~kg} \). Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.)

El sistema de comunicaciones de un hotel utiliza los digitos habitación. ¿Cuántas habitaciones del hotel pueden tener ex Seleccione una: a. 255 b. 120 a 56 d. 24

6 It is known that 35 percent of the members of a certain population suffer from one or more chronic diseases. What is the probability that in a sample of 200 subjects drawn at random from this population 80 or more will have at least one chronic disease?