1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vikentia [17]
3 years ago
11

The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi

xed costs of $216 per hour. Find the most economical speed to run the ship for a 500 M (nautical mile) trip. Note: Assume that there are no major disturbances, such as heavy tides or stormy seas
Mathematics
1 answer:
andrezito [222]3 years ago
7 0

Answer:

6 knots

Step-by-step explanation:

Let the speed be v knots

then time taken to cover 500 M = 500 / v hrs

fuel consumption /hr = 216 + 0.5v^3

let F be the fuel consumption for trip

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

dF/dv = 500[ - 216/v^2 + v]

d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve

so setting dF/dv will give a minima

500[ -216/v^2 + v] = 0

or v = 216/v^2

or v^3 = 216

solving, we get v = [216]^(1/3) = 6 knots

You might be interested in
A person who weighs 100 pounds on Earth weighs 16.5 pounds on the Moon. If a boy weighs 60 pounds on Earth, how much does he wei
xxMikexx [17]
10 pounds you divide your weight by 6
8 0
3 years ago
What is the solution of StartRoot x + 12 EndRoot = x?
Ber [7]

Answer:

x = 4      or x = -3

Step-by-step explanation:

\sqrt{x+12}=x

Take square both the sides,

(\sqrt{x+12})^{2}=x^{2}\\\\x+12=x^{2}

x² - x - 12 = 0

x² - 4x + 3x - 3*4 =0

x*(x - 4) + 3*(x - 4)= 0

(x- 4 )(x+3) =0

x -4 =0   or x + 3 = 0

x = 4      or x = -3

4 0
3 years ago
Read 2 more answers
What translation is shown below?
umka21 [38]

Answer:

5 units left

fjfnegnndgnem

5 0
3 years ago
Read 2 more answers
Which quadrant is the point (3, 4) in
AnnZ [28]

Answer:

second

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
On a test that has a normal distribution, a score of 49 falls two standard deviations below the mean, and a score of 61 falls on
Zolol [24]

The mean of this test will be 57.

<h3>What is Standard Deviation and Mean?</h3>

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

The mean can be used to get an overall idea, or picture, of the data set.

Let Mean be 'm'

and standard deviation= \sigma

So, m-2\sigma=49

and, m + \sigma=61

Solving the above two equation we get

\sigma =4

Now, m= 61-\sigma

           = 61-4

           = 57

So , the mean of this test will be =57

Learn more about mean and standard deviation here:

brainly.com/question/16030790

#SPJ1

6 0
2 years ago
Other questions:
  • The area of a square garden is 200 m^2. How long is the diagonal?
    14·1 answer
  • Find the values of the variables
    10·1 answer
  • Rewrite the equation below in slope-intercept form.<br><br> 2y−8x=18
    11·2 answers
  • A sailboat leaves port and sails 12 kilometers west and then 9 kilometers north. The sailboat is now kilometers from port
    15·1 answer
  • What is the next number in the sequence 0,2,6,12
    7·2 answers
  • How do you know which one is the smallest one?
    11·1 answer
  • If a turtle walks 7/8 of a mile in 50 mins how far will he govin 60 mins​
    6·1 answer
  • Which event prevented Descartes from publishing The World after he was done writing the book? serving as a soldier during the Th
    6·2 answers
  • I will award brainliest to whoever correctly answers this!
    9·2 answers
  • Venn diagram in maths ! !
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!