Answer:
not direct variation
Step-by-step explanation:
The equation for x and y in direct variation is
y = kx ← k is the constant of variation
y = 
is not in this form, thus not direct variation.
The equation for x and y varying inversely is
y = 
← k is the constant of variation
y = is in this form and represents inverse variation
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>
Answer:
323.75 km
Step-by-step explanation:
185/100 = 1.85 km per nm
1.85 * 175 = 323.75 km
1st Data set: <span>1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8
mean: 3.5
median: 3
2nd Data set: </span><span>1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 8
mean: 3.78
median: 3.5
difference in mean: 3.78 - 3.5 = 0.28
difference in median: 3.5 - 3 = 0.50</span>
