7) Después de que un estudiante con un virus regresa a la universidad donde comparte curso con 200 estudiantes, el número de estudiantes infectados después de t dias, se pronostica por \( N(t)=\frac{200}{1+199 \cdot e^{-0,895 t}} \) a) ¿Cuántos estudiantes estarán infectados después de 10 dias? Mag. Prof. Miguel F. Arizu Ingreso a Medicina 2024 Matemática b) ¿En qué periodo de tiempo se estima que los infectados lleguen aproximadamente a 100 estudiantes?

Express \( 148.38^{\circ} \) in radians. Answer \( = \) Blank 1 (Express your answer in 2 decimal points)

(a) Express the distance \( d \) from \( P \) to the origin as a function of \( x \). \( d(x)=\sqrt{x^{4}-3 x^{2}+4} \) (Simplify your answer. Type an exact answer, using radicals as needed.) (b) What is \( d \) if \( x=0 \) ? If \( x=0 \), the distance \( d \) is 2 . (Type an integer or decimal rounded to two decimal placels as needed.) (c) What is \( d \) if \( x=1 \) ? If \( x=1 \), the distance \( d \) is \( \square \). (Type an integer or decimal rounded to two decimal places as needed.)

Given the function with the equation \( k(x)=\frac{-6}{x+2}-2 \) : \( 7.1 \quad \) Write the equations of the asymptotes of \( k \).

Given the function with the equation \( k(x)=\frac{-6}{x+2}-2 \) : 7.1 Write the equations of the asymptotes of \( k \). 7.2 Give the range of \( k \). 7.3 Give the domain of \( k \). 7.4 Drite the equation of the axis of symmetry, with a positive gradient. 7.5 If \( k \) is reflected over the \( x \)-axis and shifted upwards by 2 units, 7.6 give the equation of the new function, \( j(x) \), after the transformations. 7.7 In which quadrant(s) would the arms of \( k \) not be if it was sketched?

If \( (-1,8) \) is a point on the graph of \( y=f(x) \), which of the following must be on the graph of \( y=f(-x) \) ? \( (8,1) \) \( (-1,-8) \) Choose the correct answer below. \( (1,8) \) \( (-8,-1) \)