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
2(x+50)=16+4x
What is x?
Answer:
x=42
Step-by-step explanation:
Write the equation.
2(x+50)=16+4x
Spread the parentheses
2x+100=16+4x
Put variables on one side, numbers on the other.
2x-4x=16-100
Add/subtract/multiply/divide the variables with variables and numbers with numbers.
-2x=-84
Make x alone
-x=-42
Flip sides to make x positive
42=x
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?
In the book Chances: risk and odds in Everyday Life, author James Burke says that approximately 57% of the general US population wears glasses or contacts. If two people are chosen at random from the US population, what is the probability that both wear glasses or contacts?
Answer:
[tex]Pr = 32.49\%[/tex]
Step-by-step explanation:
Given
Let E represents the event of wearing glasses or contacts.
So;
[tex]P(E) =57\%[/tex]
Required
The probability that selected 2 wears glasses
This is calculated as:
[tex]Pr = P(E)\ and\ P(E)[/tex]
[tex]Pr = P(E)\ *\ P(E)[/tex]
[tex]Pr = 57\% * 57\%[/tex]
[tex]Pr = 0.57 * 0.57[/tex]
[tex]Pr = 0.3249[/tex]
[tex]Pr = 32.49\%[/tex]
please show an actual answer i need help
Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
Question 7 (2 points)
Given the function rule y = 3x + 11, what is the value of x if y = 57
Hint: Make sure you are substituting for the correct variable!
Step-by-step explanation:
3x+11=57
subtract 11 from both sides and you will get this
3x=46
Divide by 3
42/3. 3/3
X=14
Answer:
15.333
Step-by-step explanation:
3x+11=57(y)
reverse the question
so:
57-11=46
46 divided by 3=15.333
so x=15.333
hope that helps
thank you
19NBoli
The lines shown below are parallel. If the green line has a slope of-4, what is
the slope of the red line?
10
A.
B. 4
- 10
-5
5
10
C. -4
O
-5
D.
4
10 -
Th slope of red lines is -4
What is parallel lines?Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.
The property of parallel lines states that slope of both lines will b same.
Therefore slope of red lines is -4
To know more about parallel lines refer to:
https://brainly.com/question/5020723
#SPJ2
Is urgent If a line passes through the points (2, 7) and (7,9), its slope is
necessary, use the slash (/) to indicate a fraction.
If
-12 + ( ) = 9 whats the missing number
Answer:
The missing number is 21
Step-by-step explanation:
-12 + x = 9
x = 9 + 12
x = 21
Answer:
21
Step-by-step explanation:
let X = ( )
-12 + X = 9
X = 9 + 12
X = 21
1 plus 1 please help!!1!!!1
Answer:
1 plus 1 equals window........
Answer:
I think the answer is orange
Step-by-step explanation:
#Eleventeen
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=10 p=0.15 x<4
The probability of x<4 successes is
The probability of x<4 successes is P(X <4) = 0.01909.
How to find that a given condition can be modelled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
In this question:
n=10 p=0.15 x<4
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\\\\\\P(X < 4) = \: ^{10}C_40.15^4(1-0.15)^{10-4}\\\\\\P(X < 4) = \: ^{10}C_40.00050625(0.85)^{6}\\\\\\P(X < 4) = 0.01909[/tex]
So, P(X <4) = 0.01909.
Learn more about binomial distribution here:
https://brainly.com/question/13609688
#SPJ1
PLEASE HELP ME WITH THOSE TWO QUESTIONS
1) How many radians are in a quarter of a circle?
2) How many degrees are in 11π over 6?
Answer:
1) about 1.57 radians
2) I'm not sure about this one sorry
Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)
Evaluate 7 + 5^ 2 . 4.
7+5^2.4
=7+47.591348
=54.591348
Answer: 7 + 5^ 2 . 4= 107 if you evaluate sorry if i am wrong
Step-by-step explanation:
What is the value of K?
PLEASE HELP!!!! THERE IS A PICTURE SUBMITTED!
Answer:
C: 4 hours
Step-by-step explanation:
Mean = Σxn/n
Σx/n = ((2 × 4) + (3 × 5) + (4 × 6) + (5 × 3) + (6 × 3) + (7 × 0) + (8 × 1))/(4 + 5 + 6 + 3 + 3 + 0 + 1)
Σx/n = 88/22
Σx/n = 4 hours
A scientist is studying snakes in the tropical rainforest. She surveys a 1 square mile area. She collects the following data:
Based on the evidence provided, what is the most likely explanation for the red snake population size? (SC.5.N.1.1)
The red snakes are not well hidden, so they are eaten by predators often.
The green snakes and the red snakes are in competition for the same food.
The black snakes prey upon the red snakes during certain times of the year.
The red snakes have been killed off by the poisons they produce.
Answer:
its c
Step-by-step explanation:
i took the test and got 100 percent
Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent)
Answer:
160%
Step-by-step explanation:
(65 - 25 )/25 x 100% = 160%
pls help me on this !!!
Abcdefghijklmnopqrstuvwxyz
Answer:
50
Step-by-step explanation:
22 + 18 = 40
90 - 40 = 50
no way you can round it
George drove 240 miles to his grandmother's house. The graph below shows the relationship between the distance he traveled and time.
What does the slope of the graph represent?
A.
The total distance he has traveled.
B.
George's speed in minutes per mile.
C.
George's speed in miles per minute.
D.
The total distance he has left to travel.
plz get it right
Answer:
There is no graph but I can infer that if time is on the x axis it would be C and if distance is on the x axis it would be B
Step-by-step explanation:
I need help fast!!!
Please
Answer:
B
Step-by-step explanation:
please help marking brainliest if it's correct and explain
Answer:
mean means average so I think i should have first add all the numbers then divide by the number of the numbers I think that's the method if you don't see it correct then it's alright but I believe it's correct.
Work out the answer when,
'the largest prime number that is a factor of 35'
is multiplied by
'the smallest prime number that is a factor of 12'.
[2]
Answer:14
Step-by-step explanation:
The largest Prime factor of 35 is 7 (factors of 35 are 1,5,7,35)
the smallest prime factor of 12 is 2 (factors of 12 are 1,2,3,4,6,12)- and 1 is not Prime
7*2=14
Please help with this, its do right know
Answer:
A
Step-by-step explanation:
y = 3x + 10
Ur welcome
Find the area of the kite
Which letter is the correct answer and why
Answer:
Option CStep-by-step explanation:
Here,
[Taking 'A' = 'a']
[tex]a \: = \: 4\pi {r}^{2} [/tex]
Then for 'r',
[tex] = > 4\pi {r}^{2} = a[/tex]
[tex] = > {r}^{2} = \frac{a}{4\pi} [/tex]
[tex] = > r = \sqrt{\frac{a}{4\pi} }[/tex]
[tex] = > r = \frac{1}{2}\sqrt{ \frac{a}{\pi} } [/tex]
Hence,
Option C is correct .
Paul, Brendan, and Charlie are chopping wood. It would take Paul 10 hours to chop up one cord of firewood. It would take Brendan 12 hours to chop one cord, and it would take Charlie 15 hours to do the same job by himself. How long will it take the three of them working together?
It will take blank hours for the three boys to chop up one cord of firewood.
The solution is
Answer: It will take the 4 hours
1. I need some help
2. Answer question step by step
3. Dont Troll or you will be reported
Answer:
The shapes are triangles with same base and height
The area of a triangle is the half of the product of the base and height
A = 1/2bh is same for both shapes, so they have same area
What sum of 500+1000
the answer would be 1500
Find the measure of arc HJ.
Answer:
98 degrees
Step-by-step explanation:
HJ = (5x - 7)
Because it's a full circle:
61 + 34 + (5x - 7) + (9x - 22) = 360
95 + (14x - 29) = 360
14x = 360 - 95 + 29 = 294
x = 21
HJ = 5x - 7 = 5 * 21 - 7 = 105 - 7 = 98
Find the measure of each interior angle of the shown figure *
Step-by-step explanation:
Formula to find interior angles of regular polygon=(n-2)180×n
N= number of sides
in figure sides are 5
So,
(5-2)×180
3×180
540 Answer
Answer:
108°
Step-by-step explanation:
Measure of each interior angle
[tex] = \frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(5 - 2) \times 180 \degree}{5} \\ \\ = \frac{3\times 180 \degree}{5} \\ \\ = \frac{540\degree}{5} \\ \\ = 108 \degree[/tex]