Answer:
7.86 km
Step-by-step explanation:
Let x represent the distance point P lies east of the refinery. (We assume this direction is downriver from the refinery.)
The cost of laying pipe to P from the refinery (in millions of $) will be ...
0.5√(1² +x²)
The cost of laying pipe under the river from P to the storage facility will be ...
1.0√(2² +(9-x)²) = √(85 -18x +x²)
We want to minimize the total cost c. That total cost is ...
c = 0.5√(x² +1) +√(x² -18x +85)
The minimum value is best found using technology. (Differentiating c with respect to x results in a messy radical equation that has no algebraic solution.) A graphing calculator shows it to be at about x ≈ 7.86 km.
Point P should be located about 7.86 km downriver from the refinery.
Answer:
He grosses by $730.8 each week
Step-by-step explanation:
Divide $38000 by 52*
To get 730.76
But you have to round to the nearest penny so u get 730.8
Hope this helps
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*Number of weeks in a year.
- <em>1</em><em>.</em><em>6</em><em>0</em><em> </em><em><u>=</u></em><em><u> </u></em><em>1</em><em>.</em><em>6</em>
<h2><em>hope </em><em>it</em><em> helps</em><em>!</em></h2>
<h3>
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➷ First calculate the probability of getting it for each roll
As there is only one '4', the probability would be 1/6
Multiply this by the number of rolls:
1/6 x 54 = 9
The correct option would be 9.
<h3><u>✽</u></h3>
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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Multiply both sides by 4/3
x= 60 * 4/3
x= 80