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3 years ago

Which ordered pair is in the solution set of the system of linear inequalities?

Mathematics

1 answer:

drek231 [11]3 years ago

3 0

Answer:

no solution

Step-by-step explanation:

1) i just took the unit test( correct on ed 2020)

2) both lines are dotted

3) the lines do not overlap

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Hey besties answer this question plz what's x + v/y x 2

dimulka [17.4K]

Answer:

x+v/2y

Step-by-step explanation:

Move 2 to the left of y

8 0

3 years ago

A tank with a capacity of 1600 L is full of a mixture of water and chlorine with a concentration of 0.0125 g of chlorine per lit

Veronika [31]

Answer:

y(t) = 20 [1600^(-5/3)] x (1600-24t)^ (5/3)

Step-by-step explanation:

1) Identify the problem

This is a differential equation problem

On this case the amount of liquid in the tank at time t is 1600−24t. (When the process begin, t=0 ) The reason of this is because the liquid is entering at 16 litres per second and leaving at 40 litres per second.

2) Define notation

y = amount of chlorine in the tank at time t,

Based on this definition, the concentration of chlorine at time t is y/(1600−24t) g/ L.

Since liquid is leaving the tank at 40L/s, the rate at which chlorine is leaving at time t is 40y/(1600−24t) (g/s).

For this we can find the differential equation

dy/dt = - (40 y)/ (1600 -24 t)

The equation above is a separable Differential equation. For this case the initial condition is y(0)=(1600L )(0.0125 gr/L) = 20 gr

3) Solve the differential equation

We can rewrite the differential equation like this:

dy/40y = - (dt)/ (1600-24t)

And integrating on both sides we have:

(1/40) ln |y| = (1/24) ln (|1600-24t|) + C

Multiplying both sides by 40

ln |y| = (40/24) ln (|1600 -24t|) + C

And simplifying

ln |y| = (5/3) ln (|1600 -24t|) + C

Then exponentiating both sides:

e^ [ln |y|]= e^ [(5/3) ln (|1600-24t|) + C]

with e^c = C , we have this:

y(t) = C (1600-24t)^ (5/3)

4) Use the initial condition to find C

Since y(0) = 20 gr

20 = C (1600 -24x0)^ (5/3)

Solving for C we got

C = 20 / [1600^(5/3)] = 20 [1600^(-5/3)]

Finally the amount of chlorine in the tank as a function of time, would be given by this formula:

y(t) = 20 [1600^(-5/3)] x (1600-24t)^ (5/3)

7 0

3 years ago

100 POINTS!!!! Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It

dangina [55]

Based on the docx you showed me, the equation for the parabola is $y = x^2 + 36$ and you want a table of values for a linear equation that intersects the parabola at (5, 6) and (-2, 34).

If you use these two points to create a line we get the equation:

$y - 6 = \frac{34 - 6}{-2 - 5}(x - 5)$ (I just used point slope form)

This can be simplified to:

$y = \frac{40}{-7}x + \frac{242}{7}$

Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept: $(0, \frac{242}{7})$ and the x-intercept: $(\frac{121}{20}, 0)$ .

So our table of value can be:

x | y
______|________
-2 | 34
0 | 242 / 7
5 | 6
121/20 | 0

3 0

3 years ago

A function has a constant halving time. What type of function does this represent?

Anna71 [15]

The function which has a constant halving time is in the following form

$A(t) = A_{0} ( \frac{1}{2} )^ \frac{t}{h}$
Where: A₀ is the initial amount
 h is the half life time or the halving time.
 t is the time
 A(t) the amount that remains at time t

The previous function represents an Exponential decay function.


so, The correct answer is option B. Exponential decay

8 0

3 years ago

Read 2 more answers

900% of it is 450 ? please help with this

charle [14.2K]

900% of 450=4050

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 450 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 450 is 100%, so we can write it down as 450=100%.
4. We know, that x is 900% of the output value, so we can write it down as x=900%.
5. Now we have two simple equations:
1) 450=100%
2) x=900%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
450/x=100%/900%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 900% of 450

450/x=100/900
(450/x)*x=(100/900)*x - we multiply both sides of the equation by x
450=0.111111111111*x - we divide both sides of the equation by (0.111111111111) to get x
450/0.111111111111=x
4050=x

now

4 0

3 years ago