Answer:
Step-by-step explanation:
m(t)=t³-12t²-144t
Take the derivative of t:
t'=3t²-24t-144
Set it to 0:
3t²-24t-144=0
Solve for t:
t²-8t-48=0
(t-12)(t+4)=0
t=12 or -4
On a graph, you'll find that the maximum value occurs at t=-4 ..............
Hence the tip of the minute hand moved approximately 37.7 inches in 40 minutes.
If Ken wants to pay more than 130, he needs to drive more than 90 miles. You subtract 94 from 130, which equals 36. 36 divided by .4 (for the price per mile) and it equals 90.
Answer:
Simply divide 12 by 111.
12/111 = 0.10810811 (you can round it to 0.11 though)
Hope this helps! :)
5/8 x 1/2 = 5/16 acre is lawn
5/16 x 2/3 = 10/48 reduces to 5/24 of the lawn was mowed
