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3 years ago

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Before driving to a familiar destination, you should: A. Anticipate taking the same amount of time as always B. Call ahead to ma

ke sure you know how to get there C. Determine a new route you haven't used before D. Find out if there will be significant delays

2 answers:

Ivenika [448]3 years ago

7 0

D. You should always check before if there would be delays

kicyunya [14]3 years ago

6 0

It’s between b & d but D should be the answer

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An oil refinery is located on the north bank of a straight river that is 3km wide. A pipeline is to be constructed from the refi

Mariulka [41]

Answer:

$6,598,076.21

Explanation:

<h2>THE KEY IS TO FIND OUT THE COST FUNCTION, the calculations are very easy!!!</h2><h2></h2><h3>In order to find the cost function, take a look at the drawing attached. </h3>

We can see the river (sort of) that is 3 km wide and the storage tanks on the other side of the river 8 km apart.

<h3 />

Laying pipes under (across) the river costs 1,000,000 the km & laying pipes over land costs 500,000 per km.

<h3 /><h3>So basically the cost function is 1,000,000 multiplied by something plus 500,000 multiplied by another something.</h3><h3 />

The distance across the river can be found by using Pythagoras Theorem. A side is 3 km the other is unknown, so we call it X. And it is equal to:

$\sqrt{3^{2} +x^{2}}=\\\sqrt{9 +x^{2}}$

And we multiply it by 1,000,000; the cost of laying pipe under the river, the we get:

$1000000\sqrt{9+x^{2}$

The distance over the land is (8-x), as we can see in the drawing. So we multiply it by its cost, 500,000. And we get 500,000(8-x).

So the cost function f(x) would be:

$f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)$

<h2>From here, we just have to differentiate and the derivative found must be equal to zero in order to minimize cost. </h2><h3>The value of x when the derivative is zero is plugged in the original function to get the cost.</h3><h3 /><h2>LET'S DO THIS</h2>

$f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(x)=1000000(9+x^{2})^{1/2}+4000000-500000x\\f'(x)=\frac{1}{2} 1000000(9+x^{2})^{-1/2}(2x)-500000\\\\f'(x)=\frac{1000000x}{\sqrt{9+x^2}} - 500000$

<h2>f'(x)=0</h2>

$f'(x)=\frac{1000000x}{\sqrt{9+x^2}} - 500000=0\\\frac{1000000x}{\sqrt{9+x^2}} = 500000\\\frac{2x}{\sqrt{9+x^2}} = 1\\2x={\sqrt{9+x^2}}\\4x^2=9+x^2\\3x^2=9\\x^2=3\\x=\sqrt{3} \\$

And we plug square root of 3 in the original cost function ad we get

$f(\sqrt{3} )=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(\sqrt{3})=1000000\sqrt{9+(\sqrt{3} )^{2}} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{9+3} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{12}+500000(6.27)\\f(\sqrt{3})=1000000(3.46)+500000(6.27)\\f(\sqrt{3})=3464101.62+3133974.60\\f(\sqrt{3})=6598076.21\\$

<h2>so the minimal cost is $6,598,076.21</h2><h2 /><h3 />

6 0

3 years ago

If the slope of a straight line is minus3 and if Y (the variable on the vertical axis) decreases by 6, then X (the variable

Sergio039 [100]

Answer:

X (the variable on the horizontal axis) will increases by 2.

Explanation:

The slope of a straight line is -3. So, m=6.

Slope of a straight line is

$m=\dfrac{Rise}{Run}=\dfrac{\text{Change is y}}{\text{Change in x}}$

Y (the variable on the vertical axis) decreases by 6.

Change is y = -6

We need to find the change in (the variable on the horizontal axis).

Substitute the given values in the above formula.

$-3=\dfrac{-6}{\text{Change in x}}$

$\text{Change in x}=\dfrac{-6}{-3}$

$\text{Change in x}=2$

Note: All options are incorrect.

Therefore, X (the variable on the horizontal axis) will increases by 2.

5 0

3 years ago

Vinny asks if he should force Spud to finish the job. Could Oscar get a court order requiring Spud to actually build the display

adell [148]

<span>No, specific performance is not allowed in this case because money damages are available.
In case that a party failed to fulfill the condition that signed on the contract, the court could give 1 of 2 form of punishments.
The first is to forcibly make that party perform the condition (specific performance), the other is to pay back the loss that incurred because of that party fail to fulfill the condition (money damages)</span>

8 0

3 years ago

Sigmund Freud suggested that dreams represent the fulfillment of wishes, yet research suggests that quite a few dreams that peop

kondor19780726 [428]

Answer:

Falsifiability

Explanation:

Based on the information provided within the question it can be said that the principle that is involved here is Falsifiability. This term refers to the assertion that for a hypothesis to have credibility, it has to be inherently disprovable before being accepted as a scientific hypothesis or theory. Otherwise it will not be.

8 0

3 years ago

How is globalization affecting the hospitality industry? Give specific examples of some of the changes.

ludmilkaskok [199]

globalization affect the hospitality directly by the people coming from different countries . either they get cheaper services or they change some stuff for people because different cultures

4 0

3 years ago