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nydimaria [60]
2 years ago
11

I need help please and thank you

Mathematics
1 answer:
Vladimir79 [104]2 years ago
3 0

Answer: B. Sons of liberty

Step-by-step explanation:

The sons of liberty were a secret organization formed in the thirteen colonies to oppose the British government and further the development of the colonies.

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A tank contains 3,000 L of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate of 30 L/min. The solution is
Shalnov [3]

Answer:

Step-by-step explanation:

Volume of tank is 3000L.

Mass of salt is 15kg

Input rate of water is 30L/min

dV/dt=30L/min

Let y(t) be the amount of salt at any time

Then,

dy/dt = input rate - output rate.

The input rate is zero since only water is added and not salt solution

Now, output rate.

Concentrate on of the salt in the tank at any time (t) is given as

Since it holds initially holds 3000L of brine then the mass to volume rate is y(t)/3000

dy/dt= dV/dt × dM/dV

dy/dt=30×y/3000

dy/dt=y/100

Applying variable separation to solve the ODE

1/y dy=0.01dt

Integrate both side

∫ 1/y dy = ∫ 0.01dt

In(y)= 0.01t + A, .A is constant

Take exponential of both side

y=exp(0.01t+A)

y=exp(0.01t)exp(A)

exp(A) is another constant let say C

y(t)=Cexp(0.01t)

The initial condition given

At t=0 y=15kg

15=Cexp(0)

Therefore, C=15

Then, the solution becomes

y(t) = 15exp(0.01t)

At any time that is the mass.

5 0
3 years ago
What dose the hypotenuse=?
Kitty [74]
Hypotenuse by Pythagoras theorem = 407.83.
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3 years ago
There are (4^9)^5 x 4^0 books at the library. What is the total number of books at the library?
sergejj [24]

Answer:

You multiply 5 by the exponents and 4^0 is just 1, so 4^45•1=4^45. Hope this helped!

Step-by-step explanation:

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3 years ago
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The first one would be A, the lower quartile is given, because the 5 number summary has been given. The second one would be 99, because 97 gives 89.6 and 98 gives 89.8. And the third one would be there are exactly 3 students with 4 pairs of shoes. Hope this helps! If you need anything else let me know.
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3 years ago
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Solve for x:(-771)+x=0
NeX [460]

Answer:

x=771

Step-by-step explanation:

−771 + x = 0

x − 771 = 0

x − 771 + 771 = 0 + 771

4 0
2 years ago
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