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svetlana [45]
3 years ago
14

Helppppllplllppppppplllleldldldldlldldffbfbdbrjdj

Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

Bleeep...... Hello.....

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An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work (in J) needed to pump half of the water out of the
Nitella [24]

Answer:

W=2452.5 J

Step-by-step explanation:

The work is define as the integral of the force times distance. So we have:

W=\int^{a}_{b}Fxdx

Now, we can write the force in terms of density.

F=m*g=\rho Vg

V is the volume (V=2*1*1=2 m³)

So the work will be:

W=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0}19620xdx=19620(\frac{x^{2}}{2})|^{0.5}_{0}

The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.

W=19620(\frac{x^{2}}{2})|^{0.5}_{0}=19620(\frac{0.5^{2}}{2})

W=2452.5 J

I hope it helps you!

8 0
3 years ago
What is the distance between the two points (-8,-6) and (-2,4)?
MAVERICK [17]

Answer:

\sqrt{136} = 11.66 units

Step-by-step explanation:

distance between 2 points (a,b) and (c,d) = \sqrt{(a^{2}-c^{2} ) +(b^{2}-d^{2} ) }

= \sqrt{((-8)^{2}-(-2)^{2} ) + ((-6)^{2}-4^{2})   }

=\sqrt{136}

= 11.66 units

6 0
3 years ago
Suppose f(x)=x^2. what is the graph of g(x)=f(4x)?
kirza4 [7]
G(x)=f(4x)
f(x)=x²
f(4x)=(4x)²
g(x)=(4x)²=16x²
g(x)=16x²

4 0
4 years ago
Read 2 more answers
Use the distributive property to simplify the expression.<br> 4 (1/4a + b - 6)
nadya68 [22]

Answer:

a+4b-24

Step-by-step explanation:

4 0
2 years ago
If sally drives to work 25% faster than she did yesterday, what would be her
dedylja [7]

Answer:

50 percent

Step-by-step explanation:

because sally was tried yesterday and went 25 percent faster today.

6 0
2 years ago
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