1. Oceanside Bike Rental Shop charges 13 dollars plus 6 dollars an
1 answer:
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Answer:
<u><em>Dimension of box:-</em></u>
Side of square base = 10 in
Height of box = 5 in
Minimum Surface area, S = 300 in²
Step-by-step explanation:
An open box with a square base is to have a volume of 500 cubic inches.
Let side of the base be x and height of the box is y
Volume of box = area of base × height
Therefore,
It is open box. The surface area of box, S .
Put
This would be rational function of surface area.
For maximum/minimum to differentiate S(x)
For critical point, S'(x)=0
Put x = 10 into
y = 5
Double derivative of S(x)
at x = 10
Therefore, Surface is minimum at x = 10 inches
Minimum Surface area, S = 300 in²
Answer:
Step-by-step explanation:
Red:black = 1:1
Red cards = x
Black cards =x
x + x = 48
2x = 48
x = 48/2
x = 24
No. of red cards = 24
No of black cards = 24
Now 8 red cards are removed
So, No. of red cards = 24 - 8 =16
Red: Black = 16:24
Red: Black = 2:3