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
ANTONII [103]
1 year ago
10

Eden just bought a trough in the shape of a rectangular prism for her horses. She needs to know what volume of water to add to t

he trough. She knows that the height of the trough is 13 inches shorter than the width, and that the length is 33 inches longer than the width.
The volume of the trough, V(w), can be modeled by a polynomial function, where w is the width of the trough. Which of the following correctly models the situation and gives the rate of change of the volume over a width of 38 inches to 53 inches?
A. V(w)= w^3 + 20w^2 - 429w
Rate of Change: 2167 cubic inches per inch


B. V(w)= w^3 + 20w^2 - 429w
Rate of Change: 7658 cubic inches per inch



C. V(w)=w^2 + 429w
Rate of Change: 520 cubic inches per inch


D. v(w) = w^2 + 20w - 429
Rate of Change: 111 cubic inches per inch
Mathematics
1 answer:
notsponge [240]1 year ago
4 0

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let w represent the width, hence:

length = w + 33, height = w - 13

Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w

V(w) = w³ + 20w² - 429w

Rate of change = dV/dw = 3w² + 40w - 429

When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423

When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118

Rate = 10118 - 5423 = 4695 in³/in

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

Find out more on equation at: brainly.com/question/2972832

#SPJ1

You might be interested in
How do you use electromagnetic spectrums to learn more about stars and planets?
klemol [59]

Answer: Telescopes use lenses or mirrors to collect and focus waves from the electromagnetic spectrum, including visible light, allowing us to look at celestial objects. By studying the electromagnetic waves given off by objects such as stars, galaxies, and black holes, astronomers can better understand the universe.

Step-by-step explanation:

8 0
2 years ago
Name the value of each 2 in 222,222
marshall27 [118]

200,000

20,000

2,000

200

20

2

Hope I helped!!

4 0
2 years ago
Read 2 more answers
How to calculate the sin, cos, and tan. (Trigonometry)
Kryger [21]

Answer:

Please see the attached picture for full solution.

7 0
3 years ago
Max charges $3.50 per hour when he mows lawns, plus $6.00 for transportation expenses. Which function rule represents the amount
givi [52]
Max charges 12.30 cents
3 0
3 years ago
7.489 ÷ 0.09. Explain.
Kisachek [45]
83.2111111111.

0.09 fits into 7.498, 83.2111111111
6 0
2 years ago
Read 2 more answers
Other questions:
  • The diagram shows a 5 cm x 5 cm x 5 cm cube,
    13·1 answer
  • If you want to add or subtract fractions, what is the first thing you need to do?​
    14·2 answers
  • An attorney charges $250 for an initial meeting and $150 an hour. How many hours can Pablo afford if he has $500? Which equation
    14·1 answer
  • Jakob is volunteering at the local animal shelter. After grooming some cats, the veterinarian on-site gave Jakob a slip of paper
    10·1 answer
  • Given a gear bag with 3 bungee cords, 5 socket wrenches, and 2 hammers, what is the probability a person will randomly draw a so
    6·1 answer
  • Jason designs a rectangular sandbox. He models the perimeter of the sandbox using the expression 8l+2, where l is the length of
    14·1 answer
  • It takes 24 hours to fill a large pool with two hoses, where the water in one hose flows four times as fast as the other hose.
    14·1 answer
  • Brainliest to whoever answers find the volume of the figure down below
    11·2 answers
  • What is 9\12 as a percent?​
    7·1 answer
  • For the following right triangle, find the side length : Round your answer to the nearest hundredth.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!