172/387 = 4/t
Let t = time to travel 387 miles
172t = 4(387)
172t = 1548
t = 1548/172
t = 9
Answer: 9 hours
Answer:
Step-by-step explanation:
Use DESMOS to make the graph. You can either rearrange the equation to put it in the form y = mx + b, or leave it as written. The attached graph, has bot, and they overlap.
y+4=2/5(x−3)
or
y = (2/5)x-5.2
I think the median is 8 or 11
Volume
of a rectangular box = length x width x height<span>
From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>
<span>
where x is the height of the box or the side of the equal squares from each
corner and turning up the sides
V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x
To maximize the volume, we differentiate the expression of the volume and
equate it to zero.
V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>
<span>x^2 - 50/3x + 50 = 0
Solving for x,
x1 = 12.74 ; Volume = -315.56 (cannot be negative)
x2 = 3.92 ;
Volume = 1056.31So, the answer would be that the maximum volume would be 1056.31 cm^3.</span><span>
</span>
