Which factor can be determined by the number of electrons present in the valence shell of an atom? Mass of the atom Molecular size of the atom. Weight of the atom

Which behavior is an example of a gross-motor skill? a. scribbling b. reaching c. walking d. pointing

40. Let \( f(x)=e^{-2 x} \). For \( x>0 \), let \( P(x) \) be the perimeter of the rec- tangle with vertices \( (0,0),(x, 0),(x, f(x)) \) and \( (0, f(x)) \). Which of the following statements is true? Source: Society of Actuaries. a. The function \( P \) has an absolute minimum but not an absolute maximum on the interval \( (0, \infty) \). b. The function \( P \) has an absolute maximum but not an absolute minimum on the interval \( (0, \infty) \). c. The function \( P \) has both an absolute minimum and an absolute maximum on the interval \( (0, \infty) \). d. The function \( P \) has neither an absolute maximum nor an absolute minimum on the interval \( (0, \infty) \), but the graph of the function \( P \) does have an inflection point with positive \( x \)-coordinate. e. The function \( P \) has neither an absolute maximum nor an absolute minimum on the interval \( (0, \infty) \), and the graph of the function \( P \) does not have an inflection point with posi- tive \( x \)-coordinate.

Descomponer a la fuerza dada por el vector \( (2,3) \) como suma de fuerzas en las direcciones de los vectores \( (-1,2) \) y \( (-1,-1) \)

You can use the formula \( d=\sqrt{1.5 h} \) to estimate the distance \( d \), in miles, to the horizon line. Here, \( h \) is the height in feet, of the viewer's eyes above the ground. To the nearest whole mile, estimate the distance a visitor can see to the horizon from the observation windows of the Washington Monument in Washington D.C. The observation windows are 500 feet from the ground.

e) \( \begin{array}{l}x+3 y-z=-2 \\ 3 x+2 y-z=3 \\ -6 x-4 y+2 z=18\end{array} \)