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 from 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.)

Answer:

Decimal: 9.45 Fraction: 236.35/25

Step-by-step explanation:

sorry if the fraction one is wrong.

129×526

=67,854

it is the correct answer

hope it helps you have a good day please mark me as brain list

Answer:

129×526

= 67854 is your answer

hope it is helpful to you

Answer:

y=2x-2

Step-by-step explanation:

first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept

add 5 to both sides

x+2y=5

subtract x from both sides

2y=-x+5

divide by 2

y=-1/2x+5/2

perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")

to find the slope of I2:

since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))

so here's our equation so far:

y=2x+b

now we need to find b

because line will pass through (3,4), we can use it to solve for b

substitute 4 as y and 3 as x

4=2(3)+b

multiply

4=6+b

-2=b

therefore the equation is y=2x-2

hope this helps!!

Answer:

1. 10a - 5b

2. 19x + 8y

3. a2 + 7a + 12

4. 10x2 + 17xy + 3y2

5. m2 - n2

6. p2 - 4pq + 4q2

Given:

The table of values of an exponential function.

To find:

The missing values in the exponential function.

Solution:

The general exponential function is defined as:

[tex]y=a(b)^x[/tex]              ...(i)

Where, a is the initial value and b is the growth factor.

First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).

[tex]10=a(b)^1[/tex]             ...(ii)

Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).

[tex]20=a(b)^2[/tex]             ...(iii)

Dividing (iii) by (ii), we get

[tex]\dfrac{20}{10}=\dfrac{a(b)^2}{ab}[/tex]

[tex]2=b[/tex]

Putting [tex]b=2[/tex] in (ii), we get

[tex]10=a(2)^1[/tex]

[tex]\dfrac{10}{2}=a[/tex]

[tex]5=a[/tex]

Putting [tex]a=5,b=2[/tex] in (i), we get

[tex]y=5(2)^x[/tex]

The required exponential function for the given table of values is [tex]y=5(2)^x[/tex]. So, the missing values are 2 and x, where 2 is in the base and x is in the power.

Answer:

4a) Irrational

Step-by-step explanation:

The square root of 20 is irrational. There is no number that can multiplied by itself to equal 20.

For a better explanation, the square root of 25 is rational. 5 can be multipled two times to be equivalent to it. Meanwhile, 20 can't.

Step-by-step explanation:

Let y the number of wrong answers got.

[tex]11( + 4) + ( - 1)y = 40 \\ 44 - y = 40 \\ - y = - 4 \\ y = 4[/tex]

∴ He got 4 wrong answers.

Answer:

1 / t

Step-by-step explanation:

The rate at which a job, chore or a certain task is executed is expressed as the reciprocal of the time taken to complete such task. That is ;

Rate = 1 / time taken

From the scenario above, the time taken = t hours

Then the rate at which work is done can be expressed as :

1 / t

Answer:

The null hypothesis is [tex]H_0: \mu = 4.1[/tex]

The alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]

Step-by-step explanation:

The diameter of a spindle in a small motor is supposed to be 4.1 millimeters

This means that the null hypothesis is that the diameter has the supposed value, that is, [tex]H_0: \mu = 4.1[/tex]

If the spindle is either too small or too large, the motor will not work properly.  The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.

Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]

Answer:

|x-8| = 7

Step-by-step explanation:

The following equation would make x=15 when solved.

|x-8| = 7

This is because if we substitute 15 for x we would have to subtract 8 from 15 which would give us 7 and the absolute value of 7 is 7 which would ultimately make the equation true.

Answer: 38 is your answer hope this helped

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Step-by-step explanation:

9514 1404 393

Answer:

  3 +3d ≥ 15

  d ≥ 4

Step-by-step explanation:

Since Joe runs 3 miles for each day he runs, the number of miles he runs in d days is 3d. That, added to the distance he has already run, will total the amount for the week. He wants that to be at least (greater than or equal to) 15 miles:

  3 + 3d ≥ 15

__

We can divide by 3 to get ...

  1 + d ≥ 5

  d ≥ 4 . . . . . . . subtract 1

Joe must run at least 4 additional days this week to run at least 15 miles.

Answer:2-3= ur answer then mutiply it by 4 then boom! hope helpsss\

Step-by-step explanation:

Answer:

12w=108

Step-by-step explanation:

Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?

Answer:

12w=180

Step-by-step explanation:

hey its me

Answer:

Step-by-step explanation:

Answer:

Hello Love! The median is simply just the number in the middle so sense we have 2 numbers in the middle our median will be 3 and 6

The mean is when you add up the numebers then divide by how many numbers there are so...

3 + 2 + 4 + 6 + 3 + 6 + 1 + 2 + 5 + 4 = 36 so 36 divided by 10 is 3.6

The range is simply just the biggest number in the sequence subtracted by the smallest number so... 6 - 1 = 5 so 5 would be our range!

Hope this helps you.

Answer:

The z-score of a beetle with a length of 2.38 centimeters is 2.4

Step-by-step explanation:

As we know,

z = (x - µ)/σ

x is the length of the beetle species.

µ is the mean length

σ is the standard deviation

Substituting the given values in above equation, we get

z = (2.38 - 1.9)/0.2

z = 0.48/0.2

z = 2.4

Answer:

Step-by-step explanation:

the formula for circumference of a circle is 2 x pi x r(radius).

Answer:

The circumference of a circle is pretty much just the perimeter of the circle Step-by-step explanation:

Answer:

Step-by-step explanation: $5.40 + $0.54 now equals $5.94

Answer: Acute triangle has an acute angle and obtuse triangle equals an obtuse angle.

Step-by-step explanation:

Answer:

55°

Step-by-step explanation:

Let the centre of the circle be C

mFG=110 (It's hard to read but I assume thats what the 110 marks)

mFG=<FCG=110

Consider ΔFCG (an isosceles triangle since CF=CG=radius). Angles in a triangle add to 180 and <CFG=<CGF so <CFG=(1/2)(180-110)=(1/2)(70)=35°

<EFG+<CFG=90

<EFG+35=90

<EFG=55°

Answer:

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Step-by-step explanation:

Given the data in the question;

Number of vehicle owned                 Number of households

0                                                             20

1                                                              35

2                                                             23

3 or more                                               22

Total ( n )                                               100

so

Null hypothesis           H₀ : In this community, vehicle ownership distribution is like that of all U.S household

Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household

Also given that, ∝ = 0.05

Now, we compute the test statistics;

x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]

where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.

so we make our table for chi square test statistics

No. of                 O[tex]_i[/tex]            P                E[tex]_i[/tex]            (O[tex]_i[/tex] - E[tex]_i[/tex])²             (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]

Vehicle                                              (n×P)

owned

0                        20         0.087          8.7            127.69                 14.677

1                         35         0.331           33.1            3.61                     0.109

2                        23         0.381           38.1           228.01                 5.985

3 or more          22         0.201          20.1           3.61                      0.180

Total                  100                           100                                        20.951

hence, x² = 20.951

Now, degree of freedom df = k - 1 = 4 - 1 = 3

From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05

[tex]x_{0.05, 3[/tex] = 7.815

Decision Rule

Reject H₀ if x² is greater than xₐ².

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Answer:

ee

Step-by-step explanation:

Answer:

Six Hundred Thousand One Hundred and Eight

Answer:

Image wont load can you explain the problem to me through comments pls?

Step-by-step explanation:

Mason needs 9 more seed packets to have a total of 20 plants in his yard.

Simplified:

20-11=9

Answer:assuming it’s not a 3D object then, 2x10=20

If it is, then do the base 2x10 then times the height

Step-by-step explanation:

Answer:

Surface area of what?

You can ask the question again but also add the pic so that we can help :)

lol find the surface of area what????? i can’t see anything

Answer:

1) 152

Step-by-step explanation:

(Length)l = 10cm

(width) w = 4cm

(height) h = 8 cm

SA= lw+wh+lh

= 10×4+4×8+10×8

=40+32+80

=152