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2 years ago

What do you get when you smelt iron? A. Lava B. Foundry

Mathematics

2 answers:

Zina [86]2 years ago

7 0

Foundry is what you get when you smelt iron :)

MakcuM [25]2 years ago

7 0

The answer is B.Foundry is what u get

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A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int

Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}$

By expanding the previous equation:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)$

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

$V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0$

Since there is no accumulation within the tank, expression is simplified to this:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}$

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

$V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}$ , where $c(0) = 0 \frac{pounds}{gallon}$ .

$\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}$

The solution of this equation is:

$c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})$

The salt concentration after 8 minutes is:

$c(8) = 0.166 \frac{pounds}{gallon}$

The instantaneous amount of salt in the tank is:

$m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds$

3 0

2 years ago

I will love you forever if someone can help me with this

g100num [7]

It should be B. right angle and C. complementary angles

8 0

2 years ago

Please help I will give you brainiest!!!

rusak2 [61]

9514 1404 393

Answer:

x-intercept: -14/9

y-intercept: 7

Step-by-step explanation:

This is one of the easiest forms for finding intercepts. To find the x-intercept, set y=0 and divide both sides by the coefficient of x.

-9x = 14 . . . . . set y=0

x = -14/9 . . . . divide by -9

To find the y-intercept, set x=0 and divide both sides by the coefficient of y.

2y = 14 . . . . set x=0

y = 7 . . . . . . divide by 2

The x-intercept is -14/9; the y-intercept is 7.

8 0

2 years ago

On a loan of $4,500 for 2 1/2 years at 4% per year, how much do you wind up paying to pay off the loan?

Strike441 [17]

4/100= x/4,500
18,000/100= $180x2.5 = $450

8 0

2 years ago

At the Museum of Modern Art , 5 students share 4 subs.

Degger [83]

Answer:

1.25 of a sandwich

Step-by-step explanation:

5/4=1.25

I'm not sure if you have to round it or not, but I think this would be exact!

Hope this helps!

7 0

2 years ago