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finlep [7]
3 years ago
15

HELP ASAP!!!! PLEASE HELP!!!!

Mathematics
1 answer:
deff fn [24]3 years ago
6 0

Answer: 131.37 and the volume is 341.25

Step-by-step explanation:

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A tank initially contains a solution of 10 pounds of salt in 60 gallons of water. Water with 1/2 pound of salt per gallon is add
RUDIKE [14]

Salt flows into the tank at a rate of

(1/2 lb/gal) * (6 gal/min) = 3 lb/min

and flows out at a rate of

(Q(t)/60 lb/gal) * (6 gal/min) = 6Q(t) lb/min

The net rate of change of the amount of salt in the tank at time t is then governed by

\dfrac{\mathrm dQ}{\mathrm dt}=3-6Q

Solve for Q:

\dfrac{\mathrm dQ}{\mathrm dt}+6Q=3

e^{6t}\dfrac{\mathrm dQ}{\mathrm dt}+6e^{6t}Q=3e^{6t}

\dfrac{\mathrm d}{\mathrm dt}[e^{6t}Q]=3e^{6t}

e^{6t}Q=\dfrac{e^{6t}}2+C

\implies Q=\dfrac12+Ce^{-6t}

The tank starts with 10 lb of salt, so that Q(0) = 10. This gives us

10=\dfrac12+C\implies C=\dfrac{19}2

so that the amount of salt in the tank at time t is given by

\boxed{Q(t)=\dfrac{1+19e^{-6t}}2}

4 0
3 years ago
What is the decimal multiplier to increase by 1.5 pls do the step by step explanation ineed help
satela [25.4K]

Answer:

Just an explanation so you can understand

Step-by-step explanation:

To increase, or decrease a number N, by a percentage X% we multiply N by a percentage multiplier (often just called multiplier).

We can calculate any percentage increase, or decrease, in three steps:

Step 1: write X% in decimal form. Remember, this is done by moving the number X back two decimal places.

Example: 5%=0.05, 12%=0.12, ... .

Step 2: Calculate the percentage multiplier by adding, or subtracting, the decimal found in step 1 to, or from, 1

For percentage increases: add the decimal to 1.

For percentage decreases: subtract the decimal from 1.

Step 3: multiply the number N by the multiplier, found in Step 2.

5 0
2 years ago
What is 1/4 x -3/5 = too ?
Alex787 [66]

Answer:

x= 12/5

Step-by-step explanation:

Also, if you mean simplify, it can no longer be simplified, so it would just be

1/4x-3/5.

Hope this helps!!

Plz let me no if I'm wrong.

6 0
3 years ago
Darla measured the length of 4 ants in science class they were 1/2 inch 3/5 inch,1/4 inch and 3/10 inch long.What is the differe
stiks02 [169]

Convert them to have the same denominator then subtract

5 0
3 years ago
4. G.CO.10 In the figure below, p ll q. What is the value of x? *
Natali5045456 [20]
Correct answer is C 59
7 0
2 years ago
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