You can express the edge lengths in terms of "cubes" or you divide the total volume by the volume of a cube. It works either way.
Edge lengths are
.. 80 cubes by 8 cutes by 13 cubes
so total volume is
.. (80 * 8 * 13) = 8320 cubes
In cubic inches, the volume is
.. (20 in)*(2 in)*(3 1/4 in) = 130 in^3.
The volume of a 1/4-in cube is (1/4 in)^3 = 1/64 in^3.
Then the number of cubes that will fit in the prism is
.. (130 in^3)/(1/64 in^3) = 8320 . . . . cubes
8320 cubes are needed to fill the rectangular prism.
a. 
b. For every month the pine tree grows about 0.67 inches.
c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.
<h2>
Explanation:</h2>
<h3>PART A.</h3>
In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:
It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.
The point slope form of the equation of a line is:
Finding (m):
Finally, the equation of the line is:
<h3>
PART B.</h3>
In this case, we have that:
- The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
- The y-axis represents the <em>Height of the Tree </em>in inches.
Since the slope o a line is:
Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>
<h3>PART C.</h3>
The y-intercept can be found setting 
. So, from our equation:
So the y-intercept is 
and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>
<h2>Learn more:</h2>
Slope Intercept form: brainly.com/question/4192440
#LearnWithBrainly
If y = 2/3 , we simply plug it in the equation.
2/3 x 6 =
Convert 6 into a fraction.
6/1
2/3 x 6/1 = 12/3 = 4
Answer: 4
Answer:
y = -x
Step-by-step explanation:
slope = change in y/change in x
slope = -1
Find the y-intercept
x value difference between (0,0) and (1,-1) = 1
if change in x = 1 then change in y = -1 so y-intercept = -1 + 1 = 0
y = -x + 0
Justin wants to paint his room. So he put together some
quotations from two different painters. The first painter's total charge was
based on the number of hours (denoted as x) worked was modeled as
f( x ) = 70 + 5 x, while that of the second painter was
g( x ) = 30 + 15 x. Justin knows that it will take more than 4
hours to decorate the house so he was certain to go with the first painter
whose cost is low-priced when the number of hours is above 4 hours.
