The length of a rectangle is represented by the function l(x) = 5x. the width of that same rectangle is represented by the function w(x) = 2x2 − 4x + 13. which of the following shows the area of the rectangle in terms of x?

(l ⋅ w)(x) = 10x3 − 4x + 13
(l ⋅ w)(x) = 10x3 − 20x2 + 65x
(l + w)(x) = 2x2 + 1x + 13
(l + w)(x) = 2x2 − 9x + 13

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

If you are dealt 4 cards from a shuffled deck of 52? cards, find the probability that all 4 cards are diamondsdiamonds.