From an absolute value inequality, we have that:
- The minimum diameter is 6.46 mm.
- The maximum diameter is 6.54 mm.
- The absolute value measures the <u>distance of a point or a function to the origin</u>.
- One example of inequality is:

Which has solution:

In this problem:
- Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the <u>absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04</u>, that is:

Applying the solution:






- The minimum diameter is 6.46 mm.
- The maximum diameter is 6.54 mm.
A similar problem is given at brainly.com/question/24835634
Answer: The side of the square will be 3 cm.
Step-by-step explanation:
When squares of equal size of side x, are cut from the four corners, we are left with the following dimensions for the cuboid box.
l= 30-2x
b = 14-2x
h= x
Hence, the volume of the cuboid will be ,
V = lbh
= (30-2x)(14-2x)x
Since this volume should be the largest possible, then differentiating volume with x should be equal to zero.
Therefore, 

solving we get, x = 3, x = 
We can omit x =
because 14 - 2x < 0 , which is not possible.
Therefore, x=3.
What you are trying to do, I don't know. I will combine them for you.
8)
____________________
9)
Answer:
111
Step-by-step explanation:
a1 = -12
a27 = 66
Now using the formula an = a1+(n-1)d we will find the value of d
here n = 27
a1 = -12
a27 = 66
Now substitute the values in the formula:
a27 = -12+(27-1)d
66= -12+(26)d
66 = -12+26 * d
66+12 = 26d
78 = 26d
now divide both the sides by 26
78/26= 26d/26
3 = d
Now put all the values in the formula to find the 42 term
an = a1+(n-1)d
a42 = -12 +(42-1)*3
a42 = -12+41 *3
a42 = -12+123
a42 = 111
Therefore 42 term is 111....
Answer:
Is this the inter question