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Pre Calculus Questions & Answers

Q:
Un medicamento en el cuerpo humano disminuye a una tasa de 20\% cada hora. Si se toma una dosis de 200 mg, ¿Cuánto medicamento quedará después de 3 horas? \( 102,4 \mathrm{mg} \) 80 mg 64 mg 120 mg
Q:
Compare the two logarithms by placing \( <_{1}> \), or \( = \) in the response box. (1 point) \( \frac{\log 200}{\log 8} \square \frac{\ln 200}{\ln 8} \)
Q:
Sketch the graph of each function. \( y=\frac{1}{2} \cdot\left(\frac{1}{5}\right)^{x-2}-2 \)
Q:
(c) \( \log _{3} \log _{4} \log _{5}(x-5)>0 \)
Q:
e \( i=\sqrt{-1} \), calcule \( i^{7531} \)
Q:
48. Mouse Population A certain breed of mouse was intro- duced onto a small island with an initial population of 320 mice, and scientists estimate that the mouse population is dou- bling every year. (a) Find a function that models the number of mice after ? (b) Estimate the mouse population after 8 years.
Q:
Between 2000 and 2020, the population of Mathville could be modeled by the function \( m(t)=100 \sqrt[3]{t} \), where \( m(t) \) is the number of people in Mathville and \( t \) is the number of years since 2000. Between those same years, the population of Calcfield could be modeled by the function \( c(t)=18 t \). Graph the functions. At what point do the functions intersect?
Q:
Hallen las ecuaciones paramétricas para la trayectoria de una partícula que se mueve sobre la circunferencia \( x^{2}+(y-1)^{2}=4 \), en cada uno de los siguientes casos: a) Comenzando en \( (2,1) \), recorriendo la circunferencia una vez en el sentido horario.
Q:
Hallen las ecuaciones paramétricas para la trayectoria de una partícula que se mueve sobre la circunferencia \( x^{2}+(y-1)^{2}=4 \), en cada uno de los siguientes casos: a) Comenzando en \( (2,1) \), recorriendo la circunferencia una vez en el sentido horario.
Q:
b) Dada la sucesión \( f_{1}=-2, \quad f_{2}=1 \quad f_{k}=3 f_{k-1}-f_{k-2}, k \geq 3 \). Encuentre \( f_{t}, \quad f_{j+2}, \quad f_{k-3} \) y \( \quad f_{h+1} \)

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