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

Suppose that the population of a certain city during a certain time period can be approximated by \( P(x)=-0.1 x^{5}+3.7 x^{4}+6,000 \), where \( x \) is time in years since 1960. Find \( P(5) \). A. 7,100 B. 10,800 C. 8,000 D. 12,500

Ask by Cross Gardner. in the United States
Mar 20,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

\( P(5) = 8,000 \), so the answer is C. 8,000.

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

The Deep Dive

To find \( P(5) \), we substitute \( x = 5 \) into the population function: \[ P(5) = -0.1(5)^{5} + 3.7(5)^{4} + 6,000 \] Calculating each term: - \( (5)^{5} = 3125 \), so \( -0.1(3125) = -312.5 \) - \( (5)^{4} = 625 \), so \( 3.7(625) = 2312.5 \) Now, substitute these values into the equation: \[ P(5) = -312.5 + 2312.5 + 6000 \] \[ P(5) = 6000 + 2000 = 8000 \] Thus, \( P(5) = 8000 \), which corresponds to option C.

preguntas relacionadas

Use transformations to explain how the graph of \( f \) can be found by using the graph of \( y=\sqrt{x} \). \( f(x)=-\sqrt{x-2} \) Which of the following explains the transformations to find the graph of \( f \) ? Shifting of \( y=\sqrt{x} \) to the right 2 units and reflected about the \( x \)-axis. Shifting of \( y=\sqrt{x} \) to the left 2 units and reflected about the \( y \)-axis. Shifting of \( y=\sqrt{x} \) to the right 2 units and reflected about the \( y \)-axis. Shifting of \( y=\sqrt{x} \) to the left 2 units and reflected abo-it the \( x \)-axis.
Precálculo United States Mar 20, 2025
A lake is stocked with 569 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict growth in the lake to a limiting value of 3,556 . The population of fish in the lake after time \( t \), in months, is given by the function \( P(t)=\frac{3,556}{1+5.3 e^{-0.27 t}} \). Find the population after 1 months.
Precálculo United States Mar 20, 2025
Use transformations to explain how the graph of \( f \) can be found by using the graph of \( y=x^{2} \). \( f(x)=(x-5)^{2}+4 \) Which of the following explains the transformations to find the graph of \( f \) ? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. Shifting the graph of \( y=x^{2} \) to the right \( \square \) units then vertically shifting the graph up \( \square \) unit(s). B. Shifting the graph of \( y=x^{2} \) to the left \( \square \) units then vertically shifting the graph down \( \square \) unit(s). Chifting of \( y=x^{2} \) to the left \( \square \) units and then horizontally shrinking the resulting graph by a factor of \( \square \). Shifting of \( y=x^{2} \) to the left \( \square \) units and then vertically stretching the resulting graph by a factor of \( \square \).
Precálculo United States Mar 20, 2025
Use transformations to explain how the graph of \( f \) can be found by using the graph of \( y=x^{2} \). \( f(x)=\frac{1}{3}(x+4)^{2} \) Which of the following explains the transformations to find the graph of \( f \) ? Shifting of \( y=x^{2} \) to the right 4 units and vertical stretching of the resulting graph by a factor of \( \frac{1}{3} \). Shifting of \( y=x^{2} \) to the left 4 units and horizontal stretching of the resulting graph by a factor of \( \frac{1}{3} \). Shifting of \( y=x^{2} \) to the left 4 units and vertical shrinking of the ressulting graph by a factor of \( \frac{1}{3} \). Shits and horizontal shrinking of the resulting graph by a factor of \( \frac{1}{2} \).
Precálculo United States Mar 20, 2025
In the Smoky Mountains of Tennessee, the percent of moisture that falls as snow rather than rain is approximated by \( \mathrm{P}=10.0 \) In \( \mathrm{h}-80 \), where \( P \) is the percent of snow moisture at an altitude h in feet. Find the percent of moisture that falls as snow at an altitude of \( 4,000 \mathrm{ft} \). Round to the nearest percent. A. \( 3 \% \) B. \( 4 \% \) C. \( 12 \% \) D. \( 11 \% \)
Precálculo United States Mar 20, 2025

Latest Pre Calculus Questions

\( P=\left(\frac{1}{4}\right)^{-\left(\frac{1}{2}\right)^{-2}}+\left(\frac{1}{2}\right)^{-\left(\frac{1}{2}\right)^{-1}}+\left(\frac{1}{3}\right)^{-1} \) \( \begin{array}{lll}\text { a. } 250 & \text { c. } 263 & \text { e. } 275 \\ \text { b. } 258 & \text { d. } 270 & \end{array} \)
Precálculo Peru Mar 20, 2025
8. Let \( f(x)=\frac{4 x-1}{x^{2}+2 x+1} \). What is the equation of the horizontal asymptote of \( f(x) \) ? From what direction does approach the asymptote as \( x \) tends towards \( -\infty \) ?
Precálculo Canada Mar 20, 2025
Use transformations to explain how the graph of \( f \) can be found by using the graph of \( y=\sqrt{x} \). \( f(x)=-\sqrt{x-2} \) Which of the following explains the transformations to find the graph of \( f \) ? Shifting of \( y=\sqrt{x} \) to the right 2 units and reflected about the \( x \)-axis. Shifting of \( y=\sqrt{x} \) to the left 2 units and reflected about the \( y \)-axis. Shifting of \( y=\sqrt{x} \) to the right 2 units and reflected about the \( y \)-axis. Shifting of \( y=\sqrt{x} \) to the left 2 units and reflected abo-it the \( x \)-axis.
Precálculo United States Mar 20, 2025
Use transformations to explain how the graph of \( f \) can be found by using the graph of \( y=x^{2} \). \( f(x)=\frac{1}{3}(x+4)^{2} \) Which of the following explains the transformations to find the graph of \( f \) ? Shifting of \( y=x^{2} \) to the right 4 units and vertical stretching of the resulting graph by a factor of \( \frac{1}{3} \). Shifting of \( y=x^{2} \) to the left 4 units and horizontal stretching of the resulting graph by a factor of \( \frac{1}{3} \). Shifting of \( y=x^{2} \) to the left 4 units and vertical shrinking of the ressulting graph by a factor of \( \frac{1}{3} \). Shits and horizontal shrinking of the resulting graph by a factor of \( \frac{1}{2} \).
Precálculo United States Mar 20, 2025
Use transformations to explain how the graph of \( f \) can be found by using the graph of \( y=x^{2} \). \( f(x)=(x-5)^{2}+4 \) Which of the following explains the transformations to find the graph of \( f \) ? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. Shifting the graph of \( y=x^{2} \) to the right \( \square \) units then vertically shifting the graph up \( \square \) unit(s). B. Shifting the graph of \( y=x^{2} \) to the left \( \square \) units then vertically shifting the graph down \( \square \) unit(s). Chifting of \( y=x^{2} \) to the left \( \square \) units and then horizontally shrinking the resulting graph by a factor of \( \square \). Shifting of \( y=x^{2} \) to the left \( \square \) units and then vertically stretching the resulting graph by a factor of \( \square \).
Precálculo United States Mar 20, 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