Round off nearest thousand 840 km

Jordan takes a 400 -mile round-trip flight to visit his parents. To qualify for Gold status at Awesome Airlines, one must fly at least 8800 and less than 20000 miles each year. How many times would Jordan need to visit his parents each year to attain Gold status? Express your answer in interval notation.

ind the perimeter of the polygon with the vertices \( G(2,4), H(2,-3), J(-2,-3) \), and \( K(-2,4) \)

Evaluate the following expression without using a calculator. \( \log _{5} 5 \) \( \log _{5} 5=\square \)

Dada la matriz A a. Resuelva el sistema \( (A-\lambda I) X=0 \) b. Con los \( X \) obtenidos en (b) arme una matriz \( P \) y encuentre su inver c. Encuentre \( P^{-1} A P \).

Halle el volumen del sólido que se genera al rotar la región limitada por \( y=\sqrt{x}, y=2-x, 0 \leq x \leq 1 \) y el eje \( y \) alrededor de la recta \( y=-1 \) \( \frac{7}{2} \pi \) \( \frac{9}{2} \pi \) \( \frac{11}{2} \pi \) \( \frac{5}{2} \pi \)