answer.
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
olya-2409 [2.1K]
2 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]2 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

You might be interested in
What is 576 hundredths in decimal form
fiasKO [112]
5.76 because the hundredths place is two spaces to the right of the decimal point.
6 0
2 years ago
Lisa says that the indicated angles cannot have the same measure. Marita disagrees and says she can prove that they can have the
AlexFokin [52]
I agree with Marita, that the angles could have the same measure.  This can be proven if you set the two amounts equal and solve for x. 

9x - 25 + x = x + 50 + 2x - 12

To begin, we should combine like terms on both sides of the equation to start simplifying the equation.

10x - 25 = 3x + 38

Next, we should subtract 3x from both sides and add 25 to both sides to get the variable x alone on the left side of the equation.

7x = 63

Finally, we should divide both sides by 7, to get rid of the coefficient of x.

x = 9

If you plug in 9 for x in our first equation, you get that both of the angle measurements equal 65 degrees.  This means that Marita is correct, because if x = 9, then the angles would have the same measure.


8 0
2 years ago
Willis bought a gallon of paint. He painted a wall that is 9 ft high and 10 ft wide. Then he used the rest of the paint to paint
GalinKa [24]
Well 9×10 is 90, 90+46 is 136. the paint covered 136 square feet
4 0
2 years ago
Read 2 more answers
A random sample of the actual weight of 5-lb bags of mulch produces a mean of 4.963 lb and a standard deviation of 0.067 lb. If
dsp73

Answer: B) 4.963±0.019.

Step-by-step explanation:

Confidence interval for population mean ( when population standard deviation is not given) is given by :-

\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}

, where \overline{x} = Sample  mean

n= Sample size

s= sample standard deviation

t* = critical t-value.

As per given:

n= 50

Degree of freedom = n-1 =49

\overline{x}= 4.963\ lb

s= 0.067 lb

For df = 49 and significance level of 0.05 , the critical two-tailed t-value ( from t-distribution table) is 2.010.

Now , substitute all values in the formula , we get

4.963\pm (2.010)\dfrac{0.067}{\sqrt{50}}\\\\ 4.963\pm (2.010)(0.0094752)\\\\ 4.963\pm0.019045152\approx4.963\pm0.019

Hence,  a 95% confidence interval for the mean weight (in pounds) of the mulch produced by this company is 4.963\pm0.019.

Thus , the correct answer is B) 4.963±0.019.

7 0
2 years ago
7x + 8y = 22. 6x + 5y = 17. solve this equation
anygoal [31]
7x+ 8y= 22
6x+ 5y=17
^Is this the format of the equation you are trying to solve?
7 0
2 years ago
Other questions:
  • If sinx=4/5 and x is in quadrant 2, then tan2x= -12/7 24/7 -24/7 12/7
    12·2 answers
  • Refer to table 28-6. what is the u-2 measure of labor underutilization?
    11·1 answer
  • In the equation 16y=64-48. what is the next step in solving sequence?
    14·1 answer
  • A scale drawing of a rectangular park is 5 inches wide and 7inches long. The actual park is 280 yards long. What is the area of
    8·2 answers
  • What is the absolute value of the complex number Negative 4 minus StartRoot 2 EndRoot i?
    10·2 answers
  • 20% of a number is 17.Find the number. ​
    5·1 answer
  • The function f(x) = RootIndex 3 StartRoot x EndRoot is reflected over the x-axis to create the graph of g(x) = Negative RootInde
    10·1 answer
  • To estimate LaTeX: \muμ, the mean salary of full professors at American colleges and universities, you obtain the salaries of a
    6·1 answer
  • Simplify: StartRoot 64 r Superscript 8 Baseline EndRoot
    6·1 answer
  • Simplify fully12xy24xy​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!