Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Y = 3x - 4
y = 3(-1) - 4
y = -3 - 4 = -7
Graph pair is (-1, -7)
y = 3(0) - 4
y = 0 - 4 = -4
Graph pair is (0, -4)
y = 3(2) - 4
y = 6 - 4 = 2
Graph pair is (2, 2)
y = 3(4) - 4
y = 12 - 4 = 8
Graph pair is (4, 8)
Answer:
14 cups = 7 pints
144 cups = 36 quarts
Step-by-step explanation:
Take the tax (6$) and divide it by the pretax(75$) and take that number and multiply it by 100 and you get your percentage (8%)
Answer: y intercept is (0, 0.4) and the x intercept is (0, 0.3)
Step-by-step explanation: intercept is where the line meets the axis so, we see there that on the y axis it is on 0.4 and on the x axis it is on the middle between 0.2 and 0.4 which makes it 0.3.
