A cellular phone company charges $25 per month plus 10 per minute of phone use. If a person's bill came to $38.10 for one month,
1 answer:
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The Lagrangian is
with critical points where the partial derivatives vanish.
Substitute into the last equation and solve for
:
Then we get two critical points,
We get an absolute maximum of at the second point, and an absolute minimum of
at the first point.
Using conversion of units and volume of a cylinder, it is found that 23.17 cubic yards of concrete are needed, option D.
The volume of a cylinder of radius r and height h is given by:
In this problem:
- We want the volume in cubic yards, thus, the units of radius and height have to be in yards.
- 32 inches in diameter, thus 16 inches of radius. Since each inch has 0.0278 yards, this is a radius of 0.44 yards, thus
.
- Height of 8 feet, and since each feet has 0.33 yards, this is a height of 2.67 yards, thus
- 14 poles, thus the volume is multiplied by 14.
Then:
23.17 cubic yards of concrete are needed, option D.
A similar problem is given at brainly.com/question/22789697
To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.
Factors of 8: (1, 8), (2, 4)
1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the term at the front of the trinomial), we find the binomials:
and
The answer is x + 2 and x + 4.