Th long side of the plastic sheet is bent into a U shape.
Therefore the dimensions of the file holder are 8, h, and (10 - 2h) as shown in the figure.
The volume of the file holder is
V = 8*h*(10 - 2h) = 80h - 16h²
To maximize V, V'(h) = 0.
That is,
80 - 32 h = 0
h = 80/32 = 2.5 in
V''(h) = -32 guarantees that V is maximum because V'' <0.
Maximum V = 80*(2.5) - 16*(2.5)² = 100 in³
Answer: h = 2.5 in
Answer:
<em>868.3%</em>
Step-by-step explanation:
8.683 x 100 = <em>868.3%</em>
The equation for determine the cost of sandwiches one afternoon is
<span>y<span>=5.95*x
</span></span>
<span>x= number of sandwiches</span>
<span>5.95 = cost one sandwiches</span>
The equation for determine the number of sandwiches sold one
afternoon is
<span>x=y/5.95</span>
We have that
<span>y=71.40</span>
<span>x=(71.40/5.95)
x=12 </span>
<span>the response is 12 <span>sandwiches
sold one afternoon</span></span>
Answer:
Grace
Step-by-step explanation:
We have to look at the bottom 2 angles, the bigger the angle the wider it is. For Hector, his R angle is 50 degrees and it's 14 wide, but his R angle is 60 degrees, bigger than 50 degrees, and yet the it's only 12.5 wide which is smaller than 14. Grace got it right, 60 degrees is bigger than 50 so it's only natural for it to be wider too.
Answer:
The equation of the line is:
Step-by-step explanation:
We know that the slope-intercept of line equation is
Where m is the slope and b is the y-intercept
Given the two points on a line
Finding the slope between (0, 3) and (-2, -5)
We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.
From the graph, it is clear:
at x = 0, y = 3
Thus, y-intercept = b = 3
Substituting m = 4 and b = 3 in the slope-intercept form of line equation
Therefore, the equation of the line is:
