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
xeze [42]
3 years ago
5

If a factory continuously dumps pollutants into a river at the rate of the quotient of the square root of t and 45 tons per day,

then the amount dumped after 5 days is
0.166
0.331
1.656
3.333
Mathematics
1 answer:
julsineya [31]3 years ago
5 0
<h2>Hello!</h2>

The answer is:

The first option, the amount dumped after 5 days is 0.166 tons.

<h2>Why?</h2>

To solve the problem, we need to integrate the given expression and evaluate using the given time.

So, integrating we have:

\int\limits^5_0 {\frac{\sqrt{t} }{45} } \, dt=\int\limits^5_0 {\frac{1}{45} (t)^{\frac{1}{2} } } \, dt\\\\\int\limits^5_0 {\frac{1}{45} (t)^{\frac{1}{2} } } \ dt=\frac{1}{45}\int\limits^5_0 {t^{\frac{1}{2} } } } \ dt\\\\\frac{1}{45}\int\limits^5_0 {t^{\frac{1}{2} } } } \ dt=(\frac{1}{45}*\frac{t^{\frac{1}{2}+1} }{\frac{1}{2} +1})/t(5)-t(0)\\\\(\frac{1}{45}*\frac{t^{\frac{1}{2}+1} }{\frac{1}{2} +1})/t(5)-t(0)=(\frac{1}{45}*\frac{t^{\frac{3}{2}} }{\frac{3}{2}})/t(5)-t(0)

(\frac{1}{45}*\frac{t^{\frac{3}{2}} }{\frac{3}{2}})/t(5)-t(0)=(\frac{1}{45}*\frac{2}{3}*t^{\frac{3}{2} })/t(5)-t(0)\\\\(\frac{1}{45}*\frac{2}{3}*t^{\frac{3}{2} })/t(5)-t(0)=(\frac{2}{135}*t^{\frac{3}{2}})/t(5)-t(0)\\\\(\frac{2}{135}*t^{\frac{3}{2}})/t(5)-t(0)=(\frac{2}{135}*5^{\frac{3}{2}})-(\frac{2}{135}*0^{\frac{3}{2}})\\\\(\frac{2}{135}*5^{\frac{3}{2}})-(\frac{2}{135}*0^{\frac{3}{2}})=\frac{2}{135}*11.18-0=0.1656=0.166

Hence, we have that the amount dumped after 5 days is 0.166 tons.

Have a nice day!

You might be interested in
From the beginning of the day the temperature rose 15° so that by 4 pm it was 87°. What was the temperature at the start of the
zubka84 [21]
Your answer is A, 72°.
4 0
3 years ago
Read 2 more answers
The product of two numbers is 225, but the sum is -30. what are these two numbers?
jasenka [17]
The two numbers are both -15

-15 x -15= 225

-15+ -15= -30
4 0
3 years ago
What's the value of c that makes 9x^2 + 12x + c a perfect square trinomial.
seraphim [82]
The value of c that makes up a perfect square trinomial is


9x^2 - 12x +c
4 0
3 years ago
You’ve probably heard police officers on television repeat the same line every single time they arrest someone: “You have the ri
djverab [1.8K]

Answer:

i think its d

4 0
3 years ago
Read 2 more answers
an orchard owner wants to plant 64 cherry tree seedlings and 96 peach tree seedlings in a rows each row is to have the same numb
NikAS [45]
The difference of these numbers (32) is also a divisor of both, so that is the greatest common divisor (GCD) and the answer to your question.

The orchard can consist of 32 rows, each with 3 peach trees and 2 cherry trees.
4 0
3 years ago
Other questions:
  • An electronics store has marked the price of a certain game at 230% of their cost. If their cost is $15.00, how much does the ga
    5·2 answers
  • Please help me........​
    14·1 answer
  • What is the volume of this cubic object
    11·2 answers
  • Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm2. (Let x, y, and z be
    9·1 answer
  • 18= 5m + 3 .. what would b m?
    11·2 answers
  • What is the radius of this can?
    15·1 answer
  • The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other
    6·2 answers
  • Please help!!!!!!!!!!!!!!!!!!
    14·2 answers
  • 85,985 rounded to the nearest ten thousand.
    15·2 answers
  • The following table shows the salary of 7 people in an office last year. Name Income Andy £9500 Bevan £30000 Cheryl £11250 Deva
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!