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Yuri [45]
3 years ago
6

6x+9=-12 Can someone help me with this question

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
6 0

Answer:

-7/2

Step-by-step explanation:

Oliga [24]3 years ago
4 0

Answer:  

-7/2

Step-by-step explanation:

Hope it helps

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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
3 years ago
What is the value of x and what is angle b?
SashulF [63]

Answer:

x=6

B = 20

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

55+ 3x+2 = 13x-3

Combine like terms

57+3x = 13x -3

Subtract 3x from each side

57+3x-3x = 13x-3x-3

57 = 10x-3

Add 3 to each side

57+3 = 10x-3+3

60 = 10x

Divide each side by 10

60/10 = 10x/10

6 =x

We also want angle B

B = 3x+2

   3*6+2

   18+2

   20

6 0
4 years ago
Please help due in a few minutes I will mark u brainliest
Goryan [66]

Answer:

y=4x-5

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Ray AT bisects ZMAR If mZMAT= (6x-4) and mZRAT = (2x+8)", what is the mZMAR
telo118 [61]

The measure of m<MAR= 28 de

<h3>What is angle bisector?</h3>

Angle bisector in geometry refers to a line that splits an angle into two equal angles. Bisector means the thing that bisects a shape or an object into two equal parts.

Given:

AT bisects <MAR

and, m<MAT= (6x-4) and and m<RAT = (2x+8)

As, <MAR is bisected by ray AT.

So,

<MAT = <RAT

6x-4= 2x+8

6x- 2x = 8+4

4x = 12

x= 3

So, <MAT = 6x-4= 6*3-4= 14

and, <RAT = 2x+8 = 14

Hence, MAR= <MAT + <RAT = 14+14=28

Learn more about angle bisector here:

brainly.com/question/28557178

#SPJ4

6 0
2 years ago
I need help and fast!! Plz don't just answer to get points!!
Juliette [100K]
The equation would be h=1m+42 and the answer is 78 I think
5 0
2 years ago
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