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Goshia [24]
1 year ago
11

Help me please i'm confused again

Mathematics
1 answer:
11Alexandr11 [23.1K]1 year ago
6 0

Answer: 6¹⁰

Step-by-step explanation:

\displaystyle\\6^4*6^6=\\\\6^{4+6}=\\\\6^{10}

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Determine which numbers the equations need to be multiplied by to form opposite terms of the y-variable. 3x - 1 4 y = 15 2 3 x -
sesenic [268]

In the elimination method, one variable is eliminated from the system of equations to find the value of the other.

To create the opposite terms of the x-variable-

  • The first equation be multiplied by the number 4.
  • Second equation be multiplied by the number -6.

<h3>What is the elimination method?</h3>

To solve the system of equations and find the value of the variables, the elimination method is used.

In this method, one variable is eliminated from the system of equations to find the value of the other.

Given information-

The system of the equation given in the problem is,

\rm 3x-\dfrac{1}{4}y=15

The second equation given in the problem is;

\rm \dfrac{2}{3}x-\dfrac{1}{6}y=6

To eliminate the x term, make the coefficient of x of both equations equal.

It can be done by multiplying the coefficient of x term of the first equation to the second equation and the coefficient of x term of the second equation to the first equation.

The first equation is multiplied by;

\rm 4\times 3x-4\times \dfrac{1}{4}y=15\times 4\\\\12x-y=50

The second equation is multiplied by;

\rm -6 \times \dfrac{2}{3}x- -6 \times\dfrac{1}{6}y= -6 \times6\\\\-4x-y=-36\\\\4x+y=36

Hence, to create the opposite terms of the x-variable-

The first equation is multiplied by the number 4.

The second equation is multiplied by the number -6.

Learn more about the elimination method here;

brainly.com/question/7013345

6 0
2 years ago
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Find the solution set of the inequality<br> 12 - 6x &gt; 24.
Hoochie [10]

Answer:

x < -2

Step-by-step explanation:

12 - 6x > 24       Equation

-6x > 12        Subtract 12 from both sides

x < -2        Divide both sides from -2, if you divide by any negative number in an inequality you have to switch the sign

3 0
3 years ago
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Write the equation of the line that passes through the point (7,-2) and has a slope of
konstantin123 [22]
I only know how to do a, so i hope i can help a little bit.
y=mx+b
-2=-3(7)+b
-2=-21+b
b=19
so your equation is y=-3x+19
i hope this helps!!
6 0
3 years ago
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Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base of radius 7 ft and height 200
Virty [35]

Answer:

<em>work done is equal to 384279168 lb-ft</em>

<em></em>

Step-by-step explanation:

The cylinder has a circular base of 7 ft.

The height of the cylinder is 200 ft

The weight density of water in the cylinder is 62.4 lb/ft^3

First, we find the volume of the water in the cylinder by finding the volume of this cylinder occupied by the water.

The volume of a cylinder is given as \pi r^{2} h

where, r is the radius,

and h is the height of the cylinder.

the volume of the cylinder = 3.142* 7^{2}*200 = <em>30791.6 ft^3</em>

Since the weight density of water is 62.4 lb/ft^3, then, the weight of the water within the cylinder will be...

weight of water = 62.4 x 30791.6 = <em>1921395.84 lb</em>

We know that the whole weight of the water will have to be pumped out over the height of cylindrical container. Also, we know that the work that will be done in moving this weight of water over this height will be the product of the weight of water, and the height over which it is pumped. Therefore...

The work done in pumping the water out of the container will be

==> (weight of water) x (height of cylinder) = 1921395.84 x 200

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3 years ago
The savings account offering which of these APRs and compounding periods offers the best APY?
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3 years ago
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