For the answer to the question above,
1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4
2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57
3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65
4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.
5. V = (q -2x) (p - 2x) (x)
Answer:
What is the probability that it does not rain tomorrow, if the probability that it ... Find the probabilities that a child selected at random, ... (a) A bag contains 2 red marbles, 1 blue marble and 1 yellow marble. ... In February 1995 it rained on 18 days. ... A card is taken at random from a full pack of playing cards with no jokers.
Step-by-step explanation:
Answer:
x = 52
Step-by-step explanation:
28 + x - 4 + 2x = 180
Simplify the left side
3x + 24 = 180
Subtract 24 from each side
3x = 156
Divide each side by 3
x = 52
Answer:
4, 8, 6
Step-by-step explanation:
4 is cost, 6 is acid rain, 8 is, recycling
