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Snowcat [4.5K]
3 years ago
11

Plz help me plz f(89) = -481.4 and f(126) = -677.5

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0

Answer:do u have the answer

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
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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
Does anyone know the answer to this? REPLY QUICKLY PLZ
sweet-ann [11.9K]

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How many solutions are on this graph?
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There are three intersections on the graph, therefore there are three solutions to the system

Step-by-step explanation:

6 0
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Find the slope from Point A to Point B.
Irina-Kira [14]

The points are A is (1,1) and B (3,3)

With that 2/2

in it simplified form it is = 1

So your slope is 2/2 or 1

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2x - y = 1<br> 3x - y = 2
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Step-by-step explanation:

2(1)-1=1

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