What is the correct answer for this question?

Answer:

The point P should be located at 0,51 Km from point B, to minimize costs

Step-by-step explanation:

The oil refinery ( point A ) the opposite point ( B) in the south bank, and the storage tank (point C) these three points shape a right triangle. Let´s call x the distance between point A and point P ( the arriving point of the pipeline in the south bank ) then:

Cost = cost of pipeline in-ground* ( 6 - x ) + cost of pipeline in water* L

where L is the hypothenuse of the right triangle  ( A , B , P )

Cost ($) = 400000 * ( 6 - x ) + 800000 * √ 2² + x²

C (x) = 400000* ( 6 - x ) + 800000* √4 + x²

C(x) = 2400000 - 400000*x  + 800000* √4 + x²

Tacking derivatives on both sides of the equation

C´(x) = - 400000 + 800000* ( 2x)/√4 + x²

C´(x) = 0         - 400000 + 1600000*x / √4 + x²  = 0

- 400000* (√4 + x² )  + 1600000*x  = 0

- (√4 + x² ) + 4* x = 0

- (√4 + x² )  = - 4*x

Squaring both sides

4 + x²  = 16*x²

15*x² = 4

x² = 4/ 15

x = ± √0,27

x = ± 0,51

We should dismiss the negative solution

x = 0,51 Km

The point P should be located at 0,51 Km from point B

Step-by-step explanation:

if f (x) = 100 - x;

as x increases, the value of f(x) will decrease

Answer:

100 decreases

Step-by-step explanation:

Answer:

he can buy McDonalds

he can go to grocery store and buy something to cook or maybe bakery iteams

Answer:

hmm

Step-by-step explanation:

he can go buy some rice and boil it as dinner for a lot of food

Answer:

The total cost as $96

Step-by-step explanation:

To find the total amount find the tax amount and the tip amount

75 * 8% = 6

75 * 20% = 15

add 6 and 15 to 75 to get 96

Answer:

ok

Step-by-step

ok

Answer:

85

Step-by-step explanation:

Answer:

-36 ÷ -3

Step-by-step explanation:

Change in her school lunch account balance per lunch = -3

Total change in her school lunch balance last month = -36

Expression to show number of times Elena bought lunch last month = Total change in her school lunch balance last month ÷ Change in her school lunch account balance per lunch

= -36 ÷ -3

= -36/-3

= 12 times

Elena bought lunch 12 times last month

Answer:

no solution

Step-by-step explanation:

Answer:=

2π/3

Step-by-step explanation:

plato

Answer:

r = 19.0

s = 17.7

Step-by-step explanation:

In the given right triangle ABC,

Measure of Hypotenuse (AC) = 26

m(∠CAB) = 43°

By applying sine rule in the given triangle,

sin(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{BC}{AC}[/tex]

sin(43)° = [tex]\frac{s}{26}[/tex]

s = 26[sin(43)°]

s = 17.73

s ≈ 17.7

Similarly, by applying cosine rule in the given triangle,

cos(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{AB}{AC}[/tex]

             = [tex]\frac{r}{26}[/tex]

r = 26[cos(43)°]

r = 19.02

r ≈`19.0

Answer:

a) 8 m  

Step-by-step explanation:

a) all sides of a square are equal - there's 4 sides.

4x = 32m

x = 32/4

x = 8 m

i like ur toga pfp besty :)

Answer:

m<IHK = 68°

Step-by-step explanation:

In an inscribed quadrilateral, opposite angels are supplementary. This means that the sum of the opposite angles in am inscribed quadrilateral equals 180°. One is the supplement of the other.

Therefore,

m<IHK = 180 - m<IJK

m<IHK = 180° - 112°

m<IHK = 68°

Answer: 5

Step-by-step explanation:

Answer:

70/100= 0.7= 70%

70%

Answer:

[tex]-1\frac{1}{2}[/tex]

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

[tex]\frac{y^2-y^1}{x^2-x^1}}[/tex]

To understand what the variables are, you can take this :

[tex](x^1,y^1)[/tex]

[tex](x^2,y^2)[/tex]

Substitute the points :

[tex](-1,4)[/tex]

[tex](5,-5)[/tex]

Now substitute it into the formula :

[tex]\frac{-5-4}{5-(-1)}[/tex]

[tex]\frac{-3}{2}[/tex]

[tex]-1\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

find the slope m  by using the slope formula

m = (y2 - y1) / (x2 - x1)

Point1 = ( -1,4)  where it takes the form (x1,y1)

Point2 =(5, -5) where it takes the form (x2,y2)

notice the form is important

m = (-5 -4) / (5 - (-1))

m = -9  /  ( 5 +1 )

m = -9 / 6

m = - 3/2

Answer:

4,500 cubic units

Step-by-step explanation:

Answer:

4,500 cubic units

Have a good day.

Answer:

A=3

B=-9

C=4

Hope this helps ^^

Answer:

Step-by-step explanation:

Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )

divide 16 by 2: 8

multiply that by 13: 104

Tell me if this helps or not bc I'm not really sure, but I really hope I helped!

Answer:

98/7=14

14*2=28

y=28

Step-by-step explanation:

2+6 is 8

(It says I need 20 characters to make an answer so Im just writing this down)

Answer:

53

Step-by-step explanation:

[tex]a + (n - 1)d \\ = - 7 + (21 - 1)3 \\ = 53[/tex]

Answer

53

Step-by-step explanation:

Answer:

2/3x+8=y

Step-by-step explanation:

8x-12y=-96

8x+96=12y

8/12x+8=y

2/3x+8=y

The equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions, is 3y = 2x + 24.

Two expressions with variables or integers are said to be equal when they are declared to be in an equation. Since equations are essential questions, efforts to methodically find answers to these questions have been the inspiration for the development of mathematics.

Given:

The equation, E = 8x – 12y = -96,

The standard intercept form of a line,

[tex]y = mx + c[/tex]

Here m is the slope,

For this form, arrange the equation,

– 12y = -8x - 96

(Do multiplication of  -1/ 4 on both sides)

3y = 2x + 24

Therefore, the equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions is 3y = 2x + 24.

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

Answer: I AM GOING TO SAY THE ANSWER IS 25%

Step-by-step explanation:

Answer:

435 in.²

Step-by-step explanation:

Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)

Area of base = s²

s = 15 in

Area = 15² = 225 in²

Perimeter of the base = 4(15) = 60 in

Slant height = 7 in

Surface Area = 225 + ½(60)(7)

= 435 in.²

Answer:

98 in²

Step-by-step explanation:

14x7=98

Answer:

The answer is C

Step-by-step explanation:

If you plot them carefully.

Answer:

a)

product A = 12O units

Product B = 220 units

product C = 280 units

b) $9000  = max/largest profit

c) No resource left

Step-by-step explanation:

Available hours

Dept. I = 1020

Dept. II = 1140

Dept. III = 960

Total available hours = 3120 hours

products produced by each department

                  product A         Product B        Product C

Dept. I            2                           1                    2

Dept. II           3                           1                    2

Dept. III          2                           2                     1

profits             $18                      $12                 $15

Determine how many units of each product to be produced to attain maximum profit

let each product be represented as : x , y , z

2x + y + 2z  = 1020 -------- ( department  A ) --- 1

3x + y + 2z  = 1140   -------- ( department B ) --- 2

2x + 2y + z = 960    --------- ( department c ) ---- 3

max profit : 18 x + 12y + 15 y

solving  equation 1 from  2

x = 120

solve equation 2 from 3 simultaneously

x - y + z = 180

-y + z = 60

solve equation 1 and 3

-y + z = 60

∴ z =  60 + y

back to equation 1

2( 120 ) + y + 2( 60 + y ) = 1020

240 + y + 120 + 2y = 1020

∴ y = (1020 - 360 )/ 3 = 220

therefore ; z = 60 + 220  = 280

amount of each product to be produced to gain maximum profit

product A = 12O units

Product B = 220 units

product C = 280 units

ii) The largest profit

18 ( 120 ) + 12(220) + 15 ( 280 ) =  $9000

Answer:

x=3

Step-by-step explanation:

x+10=13

x=13-10

x=3

Answer:

D

Step-by-step explanation:

median because it indicates the expected range of gas prices