Acceso
Prima
Hogar Banco de preguntas Matemáticas Precálculo
Pregunta
upstudy study bank question image url

A certain type of optical switch in a fiber-optic system allows a light signal to continue in one of two fibers. How many possible paths could a light signal follow if it passes through 600 such switches? The number of possible paths are (Use scientific notation. Do not round until the final answer. Then round to two decimal places as needed.)

Ask by Weber Murphy. in the United States
Mar 13,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The number of possible paths is approximately \(4.15 \times 10^{180}\).

Solución

¡Inicia sesión para desbloquear respuestas gratis!

Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

star-icon Descubrir

Respondido por UpStudy AI y revisado por un tutor profesional

Extra Insights

With each of the 600 switches allowing for 2 possible paths (either of the two fibers), the total number of possible paths that the light signal can take can be calculated as \( 2^{600} \). Using scientific notation, we have: \[ 2^{600} \approx 1.074 \times 10^{181} \] Thus, the number of possible paths is approximately \( 1.07 \times 10^{181} \) when rounded to two decimal places. This number is astronomically large, demonstrating the incredible potential for routing information in fiber-optic networks!

preguntas relacionadas

Supongamos que la función \( h \) está definida, para todos los números reales, de la siguiente manera. \[ h(x)=\left\{\begin{array}{cc}-4 & \text { si } x<-3 \\ x-1 & \text { si }-3 \leq x<3 \\ -2 & \text { si } x \geq 3\end{array}\right. \] Trazar el gráfico de la función \( h \).
Precálculo Mexico Mar 17, 2025
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of \( \mathrm{f}(\mathrm{x})=\frac{\mathrm{x}+9}{\mathrm{x}-9} \). Find any vertical asymptotes of \( \mathrm{f}(\mathrm{x}) \). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one vertical asymptote, (Type an equation.) B. The function has two vertical asymptotes. The leftmost asymptote is \( \square \) and the rightmost asymptote is (Type equations.) There are no vertical asymptotes. Find the intervals where \( \mathrm{f}(\mathrm{x}) \) is increasing or decreasing. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed.) A. The function is increasing on \( \square \). It is never decreasing. B. The function is increasing on \( \square \). It is decreasing on \( \square \).
Precálculo United States Mar 17, 2025
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of \( f(x)=\frac{8 x}{x^{2}-4} \). Find the domain of \( f(x) \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The domain is all real \( x \), except \( x= \) \( \square \) (Type an integer or a decimal. Use a comma to separate answers as needed.) B. The domain is all real \( x \). Find the \( x \)-intercepts of \( f(x) \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The \( x \)-intercept(s) is/are at \( x= \) \( \square \) (Type an integer or a decimal Use a comma to separate answers as needed.) B. There are no \( x \)-intercepts. Find the \( y \)-intercepts of \( f(x) \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The \( y \)-intercept(s) is/are at \( y= \) \( \square \) (Type an integer or a decimal. Use a comma to separate answers as needed.)
Precálculo United States Mar 17, 2025
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of \( \mathrm{f}(\mathrm{x})=\frac{\mathrm{x}+9}{\mathrm{x}-9} \). Find the y-intercepts of \( \mathrm{f}(\mathrm{x}) \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The \( y \)-intercept(s) is/are at \( \mathrm{y}= \) (Type an integer or a decimal. Use a comma to separate answers as needed.) B. There are no y-intercepts. Find any horizontal asymptotes of \( \mathrm{f}(\mathrm{x}) \). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one horizontal asymptote, \( \square \). (Type an equation.) B. The function has two horizontal asymptotes. The top asymptote is \( \square \) and the bottom asymptote is (Type equations.) C. There are no horizontal asymptotes.
Precálculo United States Mar 17, 2025
4. A rectangular garden is to be surrounded by 4 sides of a brick wall costing \( \$ 20 / \mathrm{ft}, \$ 10 / \mathrm{ft}, \$ 9 / \mathrm{ft} \), and \( \$ 8 / \mathrm{ft} \) for the sides. The \( \$ 20 \) side must be next to the \( \$ 10 \) side. Find the maximum area when you only have a budget of \( \$ 5200 \). [8] (2dp)
Precálculo Malaysia Mar 17, 2025

Latest Pre Calculus Questions

4. A rectangular garden is to be surrounded by 4 sides of a brick wall costing \( \$ 20 / \mathrm{ft}, \$ 10 / \mathrm{ft}, \$ 9 / \mathrm{ft} \), and \( \$ 8 / \mathrm{ft} \) for the sides. The \( \$ 20 \) side must be next to the \( \$ 10 \) side. Find the maximum area when you only have a budget of \( \$ 5200 \). [8] (2dp)
Precálculo Malaysia Mar 17, 2025
Let \( f(x)=\frac{2 x^{2}-9 x+9}{3 x^{2}-14 x+8} \) This function has: 1) Ay intercept at the point \( \left(0, \frac{9}{8}\right) \) 2) \( x \) intercepts at the point(s) \( \left(\frac{3}{2}, 0\right),(3,0) \) 3) Vertical asymptotes at \( x= \)
Precálculo United States Mar 17, 2025
Question 17 (1 point) Describe the end behavior of the graph of each polynomial function using correct limits, degre coefficient information. \[ f(x)=4 x^{6}+8 x^{2}+5 \] a The degree is 6 ,and the leading coefficient is 4 . Because the degree is even and the leading coefficient is positiv \( \lim _{\text {and } x \rightarrow \infty}=\infty \) b The degree is 4 ,and the leading coefficient is 6 . Because the degree is even and the leading coefficient is positive \( \lim _{x \rightarrow \infty}=-\infty \) c The degree is 5 , and the leading coefficient is 4 . Because the degree is odd and the leading coefficient is negative, \[ \lim _{x \rightarrow \infty}=\infty \] d The degree is 4 , and the leading coefficient is 5 . Because the degree is odd and the leading coefficient is negative, \[ \lim _{\text {and }}=-\infty \]
Precálculo United States Mar 17, 2025
\[ f(x)=\left\{\begin{array}{ll}-5 & \text { si } x \neq 0 \\ -4 & \text { si } x=0\end{array}\right. \] Trazar el gráfico de la función \( f \).
Precálculo Mexico Mar 17, 2025
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of \( f(x)=\frac{8 x}{x^{2}-4} \). Find the domain of \( f(x) \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The domain is all real \( x \), except \( x= \) \( \square \) (Type an integer or a decimal. Use a comma to separate answers as needed.) B. The domain is all real \( x \). Find the \( x \)-intercepts of \( f(x) \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The \( x \)-intercept(s) is/are at \( x= \) \( \square \) (Type an integer or a decimal Use a comma to separate answers as needed.) B. There are no \( x \)-intercepts. Find the \( y \)-intercepts of \( f(x) \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The \( y \)-intercept(s) is/are at \( y= \) \( \square \) (Type an integer or a decimal. Use a comma to separate answers as needed.)
Precálculo United States Mar 17, 2025
Anterior Próximo
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad