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umka2103 [35]
3 years ago
6

An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref

inery to storage tanks located on the south bank of the river 10 km east of the refinery. The cost of laying pipe is$200,000/km over land to a point P on the north bank and $400,000/km under the river to the tanks. To minimize the cost of the pipeline, how far from the refinery should P be located? (Round your answer to two decimal places.)

Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

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VMariaS [17]

Answer:

x=-1 or 7

Step-by-step explanation:

We use casework on when 3x-9=12 and when 3x-9=-12.

For the first case, 3x-9=12, we add 9 to both sides to get

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Dividing both sides by 3 gives

x=7.

For the second case, 3x-9=-12, we add 9 to both sides to get

3x=-3.

Dividing both sides by 3 gives

x=-1.

Checking both cases, we plug in x=7 and x=-1.

For the first case, we have |3(7)-9|=|21-9|=|12|=12,  which satisfies the equation.

For the second case, we have |3(-1)-9|=|-3-9|=|-12|=12, which also satisfies the equation.

This gives us two solutions to the equation; x=7 and x=-1.

4 0
2 years ago
Miranda has earned scores of 20, 22, 18, and 24 on her last four math quizzes. What score will she need to earn on the fifth qui
BigorU [14]

Answer:

16

Step-by-step explanation:

20 + 22 + 18 + 24 + 16 = 100

100/5= 2O

hopes this helps sorry for the late answer I just want others to get the correct answer.

4 0
3 years ago
Write any equation in slope intercept form of the line that passes through the given point and it's parallel to the graph of the
Orlov [11]
Paralalell means that is has the same slope
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the equation of a line that passes through the point (x1,y1) and has a slope of m is y-y1=m(x-x1)
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4 0
3 years ago
Pencil cores are glued between slabs of cedar to make a pencil sand which. A total of 52,500 pencil sandwiches are made over 5 d
raketka [301]

Answer:

10,500

Step-by-step explanation:

You must divide 52,500 by 5.

5 goes into the 5 in 52,500 one time. 5-5 is 0. 5 doesn't go into 2 so put a 0. 5 goes into 25 five times. 25-25 is 0. 5 goes into 5 one time. subtract and add the zeros at end. And you get 10,500

8 0
3 years ago
(a) Describe a property specific to squares that is not a property specific to rectangles.
blondinia [14]

Answer:

Step-by-step explanation:

(a) A square has all the 4 sides being equal while a rectangle has four sides, with the opposite sides being parallel and the same length.

(b) The diagonals bisect the angles , the diagonals are perpendicular bisectors of each other

(c) A square has two pairs of parallel sides, four right angles, and all four sides are equal while the angles of a parallelogram are not right angles

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5 0
3 years ago
Read 2 more answers
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