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Deffense [45]
3 years ago
10

Evaluate 5c−3d+115c-3d+115c−3d+115, c, minus, 3, d, plus, 11 when c=7c=7c=7c, equals, 7 and d=8d=8d=8d, equals, 8.

Mathematics
1 answer:
kozerog [31]3 years ago
4 0

Answer:

use substitution

(5 x 7) - (3 x 8) + 11= 35 - 24 + 11= 22

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water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.if the volume of the reservoir is 108m cube,
cricket20 [7]

Answer:

<u>30 hours</u> it will take to fill the reservoir.

Step-by-step explanation:

Given:

Water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.

The volume of the reservoir is 108 m³.

Now, to find the number of hours it will take to fill the reservoir.

As given the rate is liters per minute so we convert the volume into liters:

1 m³ = 1000 liters.

Thus, 108 m³ = 1000 × 108 = 108000 liters.

So, the volume of reservoir  = 108000 liters.

And the rate of water pouring down = 60 liters per minute.

Now, to get the number of hours to fill the reservoir:

\frac{volume\ of\ reservoir}{rate\ of\ water\ pouring\ down}

=\frac{108000}{60}

=1800\ minutes.

Now, to convert the 1800 minutes to hours by dividing 1800 by 60 as 1 hour is equal to 60 minutes:

\frac{1800}{60}

=30\ hours.

Therefore, 30 hours it will take to fill the reservoir.

4 0
4 years ago
HELP ME ASAP PLEASE!!!!!
IceJOKER [234]

Answer:

  see attached

Step-by-step explanation:

That things are the same when they're both the same as something else is the "transitive property." It applies to many things, from interchangeable parts to math expressions to geometrical objects, as here.

When there are 3 given statements, and two of them are shown as such, it isn't hard to determine what the third one is.

The remaining blanks can be filled by the process of elimination.

6 0
3 years ago
s (as needed, enter in your answers as inf): for the solution through the top-left point: for the solution through the origin: f
antoniya [11.8K]
  1. 3(y->3) is the direction of the top left point's solution.
  2. The answer via origin is often 3(y->3).
  3. The bottom-right point of the solution tends to -infinity.

As x rises, all converge on 3, which is stable.

As x rises, all shift away from -1, making it unstable.

What are equilibrium solutions?

⇒ It is the response to which other responses either move in the opposite direction or tend to approach when t. Because the solution does not depend on time (or any other variable you are integrating over) at those moments, the situation is in equilibrium. Stable solutions are those that "attract" other solutions that started nearby. Stable solutions are those that don't "push away" unstable ones that started nearby. Finally, solutions that, depending on the side from which other solutions started, either attract or push other solutions are referred to as semi-stable solutions. The values of y for which the differential equation states that dy/dt=0 are the equilibrium solutions. Therefore, at those values of y, there are constant solutions.

Calculation:

The equilibrium solutions:

0.7(1+y) (3−y)=0

⇒ y=-1 and y=3 are the equilibrium solutions.

Hence y=-1 and y=3 are the equilibrium solutions.

Learn more about equilibrium solutions here:

brainly.com/question/23885178

#SPJ4

3 0
2 years ago
Find the volume of a cube whose side measures 2.5 units.
vazorg [7]

volume = length x width x height

 all 3 are the same = 2.5

 so volume = 2.5 * 2.5 * 2.5 = 15.625 cubic units

3 0
4 years ago
Which lines are perpendicular to the line y – 1 = One-third(x+2)
Valentin [98]

Answer:

y-1=-3(x+2)

Step-by-step explanation:

The equation of the given line:

y-1=\frac{1}{3}(x+2)

This equation is in the form y-y_{1}=m(x-x_{1}).  Therefore, 1/3 is the slope.

To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope).  Therefore, the slope of the perpendicular line is -3.

The equation of the perpendicular line: y-1=-3(x+2)

4 0
3 years ago
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