Given below are descriptions of two lines. Line 1: Goes through \(( - 1,6 )\) and \(( - 7,18 )\)
Line 2: Goes through \(( - 2,14 )\) and \(( 6 , - 2 )\)
The slope of Line \(1\) is \(m = \) The slope of Line \(2\) is \(m = \)
Finally, which of the following is true? Line \(1\) is parallel to Line \(2\) . Line \(1\) is perpendicular to Line \(2\) Line \(1\) is neither parallel nor perpendicular to Line \(2\)
-2
-2
choose the first one
Find the solution of the exponential equation \( 16 e ^ { x } = 12 \) in terms of logarithms, or correct to four decimal places. \( x = \)
Certain radioactive material decays in such a way that the mass remaining after \( t \) years is given by the function
\( m ( t ) = 100 e ^ { - 0.01 t } \)
where \( m ( t ) \) is measured in grams. (a) Find the mass at time \( t = 0 \) . Your answer is (b) How much of the mass remains after \( 20 \) years? Your answer is Round answers to \( 1 \) decimal place.
