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
PLS ANSWER AND LOOK UNDER THE QUESTION TOO :)))
Sunny_sXe [5.5K]

D. (-2,-1)

Hope it helps you.

7 0
3 years ago
Read 2 more answers
Pls help a brother out!
Leviafan [203]

Answer:

12 maybe the ANSWER.

hope it helps you

3 0
3 years ago
Read 2 more answers
Lee watches TV for 2 hours per day. During that time, the TV consumes 250 watts per hour. Electricity costs (10 cents)/(1 kilowa
vladimir1956 [14]

Answer:

$1.5

Step-by-step explanation:

Lets us first calculate energy consumed by TV in 30 days.

Energy consumed by TV in one hour : 250 watts.

TV operated 2 hours a day

so energy consumer by TV in a day = 250 * 2 watts = 500 watts hour

Energy consumed by TV in 30 day = energy consumer by TV in a day * 30

         = 500*30 watts = 15,000 watt-hour

Convert total energy consumed in kilo watt hour  

we know that one kilowatt hour = 1000 watt-hour

Thus, 15,000 watt-hour = 15,000/1000 kilowatt-hour = 15 kilowatt-hour

________________________________

cost of electricity = 10 cents per   kilowatt-hour

cost of electricity for 15 kilowatt-hour = 15* cost of electricity for one  kilowatt-hour( which is 10 cents)

=>15*10 = 150 cents

As $1 = 100 cents

hence 150 cents = $150/100 = $1.5 .

Thus, it cost $1.5 to to operate for a month of 30 days.

6 0
3 years ago
Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, .... PLEASE HELP ASAP
sesenic [268]

Answer:

Option (B)

Step-by-step explanation:

Given sequence is 45, 135, 405, 1215, 3645..........

Since it's a geometric sequence,

Common ratio of each successive term to the previous term

r = \frac{135}{45}=3

First term of the sequence 'a' = 45

Explicit formula of a geometric sequence will be,

a_n=a(r)^{n-1}

a_n=45(3)^{n-1}

Recursive formula of this sequence will be,

a_n=3(a_{n-1}), a_1=45

Therefore, Option (B) will be the answer.

3 0
3 years ago
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not
VMariaS [17]
Correct Answer: 
C option: 6 feet

Solution:
Since <span>Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet. So we can write:

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
</span>18:4=27:x \\  \\ &#10; \frac{18}{4} = \frac{27}{x} \\  \\ &#10;x=27* \frac{4}{18}  \\  \\ &#10;x=6
<span>
This means the depth of pool should be 6 feet if </span><span>Yolanda wants to keep the pool in proportion to the model.</span>
7 0
3 years ago
Read 3 more answers
Other questions:
  • What is the measure of each exterior angle of a regular polygon with 12 sides?
    13·1 answer
  • What type of sequence is this? arithmetic, geometric, neither, or both?
    13·1 answer
  • How do you write 23.5 in word form
    6·2 answers
  • What is the solution to the equation? 7(5 9) = 7 • x 7 • 9
    7·2 answers
  • : -- ) PLEASE HELP me out with this one
    9·1 answer
  • Please help! <br> Find the rate of change! <br><br> 1. -3<br> 2. -1/3<br> 3. 3<br> 4. 1/3
    10·2 answers
  • What is 1.5 as a ratio plz help ​
    12·1 answer
  • What is the area of a sector<br> when r=9/2 and 0=5pi/6 radians?
    14·1 answer
  • 4.<br> 3<br> 5<br> -1 1<br> -21 0<br> OI0<br> V<br> 4<br> 2<br> y<br> m=를<br> X<br> 9
    9·1 answer
  • Molly bought a large basket of 60 apples.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!