It would be .43, rounded. You get this answer by taking all of the 10th graders (14) and looking at how many prefer sporting events (6). Then, you simply form a decimal from 6/14, and that comes out to .428, and .43 rounded up. I hope this helps! :)
Answer:
13058.83 cubic inches
Step-by-step explanation:
Given that a rectangular box is having dimensions as 41x81 inches.
Let x be the side of square cut from all the four corners.
The open box made would have height as x and length 41-2x with width 81-2x
Volume =

Equate first derivative to 0
We get applicable root as x = 8.642
Max volume = 13058.83 cubic inches
Hey there Jnorman1287.
Answer:
Distance = 249 x 9
= 2,241
Hope this helps :D
<em>~Natasha♥</em>
The slope of the line MN where M (9,6) and N (1,4) can be obtained by obtaining the rate of the rise over the run. This is shown below:
(y2 - y1)/(x2 - x1) = (4 - 6)/(1 - 9) = (-2)/(-8)
m1 = 1/4
The slope of the line perpendicular to line MN can be obtained by taking the negative reciprocal of the slope of line MN.
m1 = 1/4
m2 = -1/m1 = -1/(1/4) = -4
Therefore, the slope of the line perpendicular to line MN is -4.
Step-by-step explanation:
(a): 5x^2 + 25 = 5 * x^2 + 5 * 5 = 5(x^2 + 5).
(b): 2x^2 - 3x - 2 = 2x^2 - 4x + x - 2
= 2x(x - 2) + 1(x - 2) = (2x + 1)(x - 2).