The inner habitability zone of a star is the innermost point in space where an earthlike planet would have a surface temperature just below the vaporization temperature of water and is – theoretically – the warmest a planet could be and still support life. the distance to the habitability zone is given in astronomical units by the equation: d subscript i n end subscript equals square root of fraction numerator l over denominator 1.1 end fraction end root where l is the luminosity of the star compared to the sun. what is the inner habitability zone distance in au for a star with a luminosity 1.66 times greater than the sun’s luminosity?

There are weak or strong attractive forces between atoms of liquids with a high viscosity

An alligator swims to the left with a constant velocity of 5 \,\dfrac{\text{m}}{\text s}5 s m ? 5, space, start fraction, m, divided by, s, end fraction. when the alligator sees a bird straight ahead, the alligator speeds up with a constant acceleration of 3 \,\dfrac{\text {m}}{\text s^2}3 s 2 m ? 3, space, start fraction, m, divided by, s, start superscript, 2, end superscript, end fraction leftward until it reaches a final velocity of 35 \,\dfrac{\text {m}}{\text s}35 s m ? 35, space, start fraction, m, divided by, s, end fraction leftward. how many seconds does it take the alligator to speed up from 5 \,\dfrac{\text {m}}{\text s}5 s m ? 5, space, start fraction, m, divided by, s, end fraction to 35 \,\dfrac{\text {m}}{\text s}35 s m ? 35, space, start fraction, m, divided by, s, end fraction?

Consider an ideal gas at 27.0 degrees celsius and 1.00 atmosphere pressure. imagine the molecules to be uniformly spaced, with each molecule at the center of a small cube. what is the length l of an edge of each small cube if adjacent cubes touch but don't overlap?