Let M = {cars with a moonroof} with |M| = 24, N = {cars with a navigational system} with |N| = 58, and
W = {cars with blindspot warning/alert} with |W| = 75.
Also, let |M ∩ N| = 22, |M ∩ W| = 20, |N ∩ W| = 48, |M ∩ N ∩ W| = 18.
a) Draw a Venn Diagram for which the given cardinalities apply.
b) Describe an element in the set M ∪ N ∪ W.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = x h(x) = x

(mc 02.03) what set of reflections and rotations would carry rectangle abcd onto itself? reflect over the y-axis, reflect over the x-axis, rotate 180° rotate 180°, reflect over the x-axis, reflect over the line y=x reflect over the x-axis, rotate 180°, reflect over the x-axis rotate 180, reflect over the y-axis, reflect over the line y=x