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
Scrat [10]
3 years ago
7

Oil is leaking from a tanker at the rate of R(t) = 2000e^(-0.2t) gallons per hour where t is measured in hours. How much oil lea

ks out of the tanker from the time t = 0 to t = 10
...?
Mathematics
1 answer:
Kipish [7]3 years ago
6 0
The calculation of the integral will give us the answer.

Amount = Int (2000e^(-0,2t))dt

With t = 0 to t = 10

A = 2000.In(e^(-0,2t))dt


Making U = -0,2t

U = -0,2t

dU/dt = d(-0,2t)/dt

dU/dt = -0,2

dU = -0,2dt

dt = dU/-0,2
_______________


Then,

A = 2000.Int (e^U).dU/-0,2

A = -10.000.Int(e^U)dU

A = -10.000.e^U

A = -10.000.e^(-0,2t) | (0,10)

A = -10.000.(e^(-2)) - [ -10.000.e^(0)]

A = -10.000.e^(-2) + 10.000

A ~ 8,646 Gallons


You might be interested in
List the angles of triangle ABC in order from smallest to largest measure if AB=9, AC=11, and BC=10
nadezda [96]
The angles go in the same order as the sides across from them.
AB is the smallest side so angle C is across from it.
BC is the middle length so angle A is the middle angle. AC is the longest side so angle B is the largest angle.
3 0
3 years ago
(3-x)(x-5)<br> Hurry PLZ
marshall27 [118]

Answer:

-3x^2 + 15x

Step-by-step explanation:

(3 - x) (x - 5)

=> (3x - 15) ( -x)

=> -3x^2 + 15x

3 0
3 years ago
Question : What value of t corresponds to the first day that the sun is 20° north of due east at sunrise? Round your answer to t
marin [14]
<span>During each day the ... only times in the year that the Sun rises due east and sets due west. ... At the June (winter) solstice the Sun risesnorth of east, makes a ... Over the next few weeks sunset moved to the left or south and by 23 ... June 28, 2016 at 2:20 pm.</span><span>
</span>
4 0
3 years ago
The equation below describes a proportional relationship between x and y. What is the constant of​ proportionality?
mamaluj [8]

Answer:

21

Step-by-step explanation:

whats 9 + 10

8 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!!!!!!!!!!!!
alexgriva [62]

Answer:

The answer is b I hope this helps sorry if it doesn't

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Look at the drawing of a triangle within a rectangle triangle in the rectangle have the same base and height is the area of a tr
    14·1 answer
  • Mr. Clark has a tank that holds 55,000 milliliters of gas. He poured some gas into three containers equally. There were 19,864 m
    5·1 answer
  • Which is greater 27 or -49
    5·2 answers
  • How are geometric sequences related to exponential functions?
    9·1 answer
  • The admission fee to an amusement park is $28. It costs an additional p dollars to rent a locker to hold your belongings. The to
    10·1 answer
  • Which is a true statement about the dot plot? Number of Rolls of a Six-Sided Number Cube to Get an Even Number A dot plot going
    8·2 answers
  • 5. Find the area of the of the figure 20 points
    14·2 answers
  • Plz help out with this!!!!
    14·1 answer
  • Five students were running for class president. Ben received 20 more votes than Jack and 40 less than Anna. Elaina received 20 v
    8·1 answer
  • What type of correlation the<br> scatter plot shows?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!