Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216
Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
I'm sorry that I'm not in calculus, but hopefully I can help.
Personally, I would choose: D.) x; in the second equation ;
because it has easier numbers to figure out, you'll get it eventually...
Answer:
<em><u>A.10000</u></em>
<em><u>B.25 more trees must be planted</u></em>
Step-by-step explanation:
⇒Given:
- The intial average yield per acre = 150
- The initial number of trees per acre = 100
- For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
- Total yield = (number of trees per acre)(average yield per acre)
<em>A.</em>
⇒If the total trees per acre is doubled , which means :
total number of trees per acre = = 200
the yield will decrease by : -
⇒total yield =
<em>B.</em>
⇒to maximize the yield ,
let's take the number of trees per acre to be 100+y ;
and thus the average yield per acre = 150 - y;
total yield =
this is a quadratic equation. this can be rewritten as ,
⇒
In this equation , the total yield becomes maximum when y=25;
<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>
Answer:
12,633.7
Step-by-step explanation:
population of Chicago, in 2003 = 2,869,121
The area of Chicago = 227.1 square miles.
What was the average number of people living in 1 square mile?
Average number of people living in 1 square mile also refers to the population density of Chicago
Average number of people living in 1 square mile = Total population / total square miles
= 2,869,121 / 227.1
= 12633.734037868
Approximately
12,633.7
(4,5)(2,1)
slope = (1 - 5) / (2 - 4) = -4/-2 = 2
(-2,3)(-4,4)
slope = (4 - 3) / (-4 - (-2) = 1/(-4 + 2) = -1/2
2 and -1/2 are negative reciprocals of each other....therefore, ur lines are perpendicular <==