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Alinara [238K]
3 years ago
14

An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A pipeline is to be constructed f

rom the refinery to storage tanks located on the south bank of the river 7 km east of the refinery. The cost of laying pipe is $300,000 per km over land to a point P on the north bank and $600,000 per km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located? (Round the answer to two decimal places.)
Mathematics
1 answer:
anzhelika [568]3 years ago
7 0
Ummmm I’m not to sure let me see if I could figure it out
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Find the parabola with equation y = ax2 + bx whose tangent line at (3, 12) has equation y = 10x − 18. y = incorrect: your answer
pishuonlain [190]
For these questions to be true and the equation of the tangent to have an equal y to the equation of the parabola i guess there has to be a "c" and in that case integrate the equation of the tangent you will have a = 5 and b = -18 then you substitute in the equation of the parabola with the point you have you will find that "c" = 21 and so the equation of the parabola becomes y = 5x^2 - 18 x +21
 
3 0
3 years ago
Absolute Value is always positive.<br><br> True<br> False
kramer

Answer: False

Step-by-step explanation: Absolute value means <em>distance from zero</em> on a number line. A common mistake is to assume that absolute value is always positive but that's not necessarily the case.

Take 0 for example.

It's 0 units away from zero on a number line which

means it has an absolute value of zero.

However, all other numbers besides zero will have

an absolute value that is positive.

5 0
3 years ago
You buy Apple stock for $120 per share over a period of time the stock value increased at a weekly rate of 5% you sell the stock
Rainbow [258]

Answer:

8.31  weeks

Step-by-step explanation:

Given that the cost of one share of Apple stock, C=$120

Rate is the increment of the stock value, R= 5%/week=0.05 / week.

Assuming that after t week, the stock has been sold for $180.

Since the stock value increased at 5% every week, so, the interest is compounded weekly, so

S=C\left(1+R\right)^t \\\\ \Rightarrow 180 = 120\left(1+0.05\right)^t \\\\  \Rightarrow 180 = 120\left(1.05 )^t \\\\

\Rightarrow \frac{180}{120}=1.05^t \\\\\Rightarrow 1.5=1.05^t

\Rightarrow \ln(1.5)=t \ln(1.05) [taking log both sides]

\Rightarrow t=\frac {\ln(1.5)}{\ln(1.05)}=8.31 weeks

Hence, after 8.31  weeks the stock has been sold for $180.

6 0
3 years ago
Which ratio correctly compares 150 mm to 60 cm?
deff fn [24]
1 to 4
150mm is the same as 15cm
15cm:60cm
both divisible by 15
1cm:4cm

1 to 4
6 0
3 years ago
What is-3/7x-2 in standard form
Eddi Din [679]
If you are given y = (-3/7)x - 2 and you want it in the form Ax+By = C, then...

y = (-3/7)x-2
7*y = 7*( (-3/7)x-2) ... multiply both sides by 7
7y = -3x-14 ... distribute and multiply
7y+3x = -3x-14+3x ... add 3x to both sides
3x+7y = -14

The standard form equation is 3x+7y = -14
3 0
3 years ago
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