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Goryan [66]
2 years ago
15

Mr. Fields ordered 3 tons of gravel for the driveway at a factory how many pounds of gravel did he order

Mathematics
2 answers:
Elza [17]2 years ago
5 0

Answer:

6000 lb

Step-by-step explain:

1.  convert from tons to pounds

2.  2,000 lb = 1 ton

3. y= 3 tons times 2,000

   y= 6,000 lb :)

denpristay [2]2 years ago
3 0

Answer:6000

Step-by-step explanation:

1 ton is equal to 2000 pounds

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Step-by-step explanation:

We are given to solve the following differential equation :

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From equation (i), we have

\dfrac{dy}{y}=kdt.

Integrating both sides, we get

\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]

Also, the conditions are

y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50

and

y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.

Thus, the required solution is y=50e^{0.1386t}.

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Step-by-step explanation:

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