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
Tcecarenko [31]
3 years ago
11

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill

ion barrels of oil in the well; six years later 1,500,000 barrels remain.
(a) At what rate was the amount of oil in the well decreasing when there were 1,800,000 barrels remaining?
Mathematics
1 answer:
abruzzese [7]3 years ago
4 0

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}

To find A and k

V(0) = A = 3 million

Hence V = 3e^{kt}

V(6) = 1.5

i.e. 1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552

V(t) = 3e^{-0.11552t}

a) Using the above value of k , we have

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year.

You might be interested in
What value of n makes the equation true?<br><br> -1/5n + 7 = 2<br><br><br> n =
Andre45 [30]
N=25 I did this question already
4 0
2 years ago
Read 2 more answers
What are the amplitude and midline?
Papessa [141]
Amplitude 1 , midline y=2
3 0
3 years ago
Read 2 more answers
The volume (V) of a rectangular prism whose height is 12 cm and base is a square with side lengths s cm: V = 12s to the second p
lions [1.4K]

Answer: 12s^2

you're welcome :D

4 0
3 years ago
Pls help....................
stich3 [128]

Answer: EGF

Step-by-step explanation:

7 0
3 years ago
If the circle radius is 27yd, how do I find the circumference without using pi?
lions [1.4K]

Circumference of a circle having radius of 27 yard can be found using the formula, π = 2(Area of Circle)/r, which is C = 169.6 yd

<h3>What is the Circumference of a Circle?</h3>
  • Circumference of a circle is the distance round the circle.
  • Circumference = Perimeter
  • Circumference of a circle without using π = 2(Area of Circle)/r.

Given:

radius of circle = 27 yd

Thus:

Area = πr² = π(27)²

Area = 2,290.2 yd²

Circumference of a circle without using π = 2(2,290.2)/27

= 169.6 yd.

Learn more about Circumference of a Circle on:

brainly.com/question/16703642

5 0
2 years ago
Read 2 more answers
Other questions:
  • Which answer describes the transformation of g(x)=log4(x−2)+4 from the parent function f(x)=log4x?
    7·2 answers
  • 1. Identify the vertical asymptotes of
    7·1 answer
  • Whats 1+5+1+5+1+25x45x65x2,000
    5·1 answer
  • What is the straight-line distance between(6,3) and (4,-5) on a coordinate graph
    12·1 answer
  • Chris is making a poster for Bike Safety Week. The diameter of circle A is 12 in. If the area of circle B is the area of circle
    8·1 answer
  • What is the slope of the line that passes through the points (4,7) and (5,8) ​
    13·1 answer
  • Put the following numbers in order from least to greatest: -2, 6, 2.5, -5, 14 Question 4 options: 2.5 -5 6 -2 14
    14·1 answer
  • 50 times 90 equeals what<br><br><br> look at the comments
    9·1 answer
  • LOOK RIGHT HERE! HELP FASSST EMERGENCY! Don't go past go to this question right here and no Decimal answers plz. Thanks the answ
    6·1 answer
  • Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!