★ Inequalities ★

or n ∈ ( 10 , 11 )
Possible value can be easily obtained by generating an arithmetic mean

Else we've infinite numbers between them ,
According to density property of real numbers , we can have any real number satisfying the given inequality under condition 10 < n < 11
Which is true for infinite possible numbers
10.1 , 10.2 , ... INFINITY
Answer:
= 2.48 × 10¹²
(scientific notation)
= 2.48e12
(scientific e notation)
= 2.48 × 10¹²
(engineering notation)
(trillion; prefix tera- (T))
= 2480000000000
<span>(real number)</span>
Answer:
P is exactly 3km east from the oil refinery.
Step-by-step explanation:
Let's d be the distance in km from the oil refinery to point P. So the horizontal distance from P to the storage is 3 - d and the vertical distance is 2. Hence the diagonal distance is:

So the cost of laying pipe under water with this distance is

And the cost of laying pipe over land from the refinery to point P is 400000d. Hence the total cost:

We can find the minimum value of this by taking the 1st derivative and set it to 0

We can move the first term over to the right hand side and divide both sides by 400000


From here we can square up both sides






d = 3
So the cost of pipeline is minimum when P is exactly 3km east from the oil refinery.