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:
0.3 hour or 18 minutes
Step-by-step explanation:
How long means, we are to calculate the time(t)
Hence,
Speed × time = Distance
For Neil , 11 × t
For Charlie = 9 × t
11t + 9t = 6
20t = 6
t = 6/20
t = 0.3 hour
Converting to minutes
1 hour = 60 minutes
0.3 hour = x
x = 0.3 × 60 minutes
x = 18 minutes
Therefore, it will take 0.3 hour or 18 minutes for these two to meet.
3 and 4! Because 3x4=12 and 4x3= 12! Mark me brainliest so I can help more people !
Answer
260 kilograms
Step-by-step explanation:
the correct answer is 260 kg
The height will be six times what is on the drawing.
6 4/5 x 6 = 36 24/5 = 40 4/5 inches tall.
