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olya-2409 [2.1K]
3 years ago
14

An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquariu

m. (Use 9.8 m/s2 for g and the fact that the density of water is1000 kg/m3.)Show how to approximate the required work by a Riemann sum. (Let x be the height in meters below the top of the tank. Enter xi* as xi.)lim n ? ?
Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer:

Workdone = 2450Joules

Step-by-step explanation:

Let the top of the aquarium be at height 0.

Let the bottom of the aquarium be at height 1

F = mg = 2p◇x × g

F= 2000◇x × 9.8

F = 19600◇x

Workdone = 19600xdx

Total workdone = Integral (limits 0.5 -0)19600×dx

Total work = [9800x^2]^0.5

Total work= 9800× 0.5^2 = 2450 Joules

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PLEASE ANSWER ILL GIVE YOU BRIANLIEST
MariettaO [177]

Answer:

y-intercept = -2

x-intercept = -4

Step-by-step explanation:

y-intercept is the point where x = 0. Hence,

y-intercept = -2

x-intercept us the point where y = 0. Hence,

x-intercept = -4

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3><h3>Peace!</h3>
7 0
3 years ago
Jane completes several example problems that ask her to the find the opposite of the opposite of a number, and for each example,
creativ13 [48]

Answer:

Jane is not correct.

Step-by-step explanation:

Jane must have complete several examples using positive numbers. That conclusion does not apply for negative numbers.

Let's see an example:

Given the number 5:

  • its opposite number is: -5
  • the opposite of this opposite number: is 5

Note that is the same number and it is positive.

However, if we check the same situation with a negative number:

Given the number -3:

  • its opposite number is: 3
  • the opposite of this opposite number: is -3

In conclusion, Jane's conclusion is wrong. The opposite of the opposite number is not always a positive number.

8 0
3 years ago
Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \under
saw5 [17]

Answer:

$\[x^2 + 22x + 121\]$

Step-by-step explanation:

Given

$\[x^2 + 22x + \underline{~~~~}.\]$

Required

Fill in the gap

Represent the blank with k

$\[x^2 + 22x + k\]$

Solving for k...

To do this, we start by getting the coefficient of x

Coefficient of x = 22

<em />

Divide the coefficient by 2

Result = 22/2

Result = 11

Take the square of this result, to give k

k= 11^2

k= 121

Substitute 121 for k

$\[x^2 + 22x + 121\]$

The expression can be factorized as follows;

x^2 + 11x + 11x + 121

x(x + 11)+11(x+11)

(x+11)(x+11)

(x+11)^2

<em>Hence, the quadratic expression is </em>$\[x^2 + 22x + 121\]$<em></em>

8 0
3 years ago
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nika2105 [10]
The answer would be B because range is the highest number take away the lowest number
8 0
3 years ago
Carol's last credit card statement said that she had an account balance of -$107. Which of the following account balances repres
spin [16.1K]
C, -$154 < -$107 because -107 is closer to 0 than -154
4 0
3 years ago
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