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vredina [299]
2 years ago
14

I do not know how to do number 2​

Mathematics
2 answers:
trasher [3.6K]2 years ago
4 0
Answer: m(x)=2fhx
I hope this helps
gladu [14]2 years ago
3 0
It is 2 i think hope this helps
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Round 13.9 to the nearest whole number
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Help me will give brain
Aleonysh [2.5K]

Answer:

The answer is C

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x−2)=6x+18

Step 1: Simplify both sides of the equation.

4(x−2)=6x+18

(4)(x)+(4)(−2)=6x+18(Distribute)

4x+−8=6x+18

4x−8=6x+18

Step 2: Subtract 6x from both sides.

4x−8−6x=6x+18−6x

−2x−8=18

Step 3: Add 8 to both sides.

−2x−8+8=18+8

−2x=26

Step 4: Divide both sides by -2.

−2x/−2=26/−2

x=−13

Answer:

x=−13

3 0
2 years ago
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
3 years ago
Which of the following statements is true only if triangles EFI and GFH are similar?
Cerrena [4.2K]

Answer:

C.

Lines EI and HG are parallel

plz like and vote 5 star if answer is correct, if not still do it as it might help someone somehow

5 0
3 years ago
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Find the interest paid on a $50,000 loan with 5.5% simple interest for 7 years.
Airida [17]

Answer:

$69,250

Step-by-step explanation:

6 0
3 years ago
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