[6m² x 6n² ÷ 9mn ÷ 2m]² ??

I need to simplify this expression
please help with working out so I can understand. Thanks!​

Answer:

9(5x^3-1)

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Answer:

0.101

Step-by-step explanation:

[tex]speed = \frac{distance}{time} [/tex]

We have speed, and we have distance. So let's rearrange to get time:

[tex]time = \frac{distance}{speed} [/tex]

Let's plug in our numbers (make sure to times distance by 1000 to convert to metres):

[tex]time = \frac{30425000}{3.0 \times {10}^{8} } [/tex]

Which leaves us with:

[tex]time = \frac{1217}{2 ^ {5} \cdot 3 \cdot 5 ^ {3}} \approx 0.101416667[/tex]

The value [tex]8\times 10^{-3}[/tex] is about 2000 times greatest as [tex]4\times 10^{-6}[/tex]

Exponents, also known as powers, are values that show how many times to multiply a base number by itself.

Here we have the values  [tex]8\times 10^{-3}[/tex] and [tex]4\times 10^{-6}[/tex]

Now to compare the value we will write [tex]4\times 10^{-6}[/tex] as [tex]0.004\times 10^{-3}[/tex]. We will divide the value  [tex]8\times 10^{-3}[/tex] by the value [tex]4\times 10^{-6}[/tex]  So it will give us 2000.That means that the value [tex]8\times 10^{-3}[/tex] is 2000 times them the value [tex]4\times 10^{-6}[/tex]

[tex]\dfrac{8\times 10^{-3}}{0.004\times 10^{-3}}=2000[/tex]

So value [tex]8\times 10^{-3}[/tex] is about 2000 times greatest as [tex]4\times 10^{-6}[/tex]

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Answer:

Step-by-step explanation:

Remark

These two angles are related by the supplement of corresponding angles. So they add to 180.

Equation

<1 + <2 = 180

2x + 4 + 8x - 14 = 180

Givens

<1 = 2x + 4

<2 = 8x - 14

Solution

<1 + <2 = 180                Substitute the givens into this equation

2x + 4 + 8x - 14 = 180  Combine like terms

2x + 8x + 4 - 14 = 180  

10x - 10 = 180               Add 10 to both sides

10x-10+10 = 180+10     Combine

10x = 190                      Divide by 10

10x/10 = 190/10

x = 19

Answer: x = 19

Answer:

Around 31.4

Step-by-step explanation:

The circumference formula of a circle is C=2[tex]\pi[/tex]r. Plug the radius in which is 5. 5 times 2 is 10. 10 times pi would be around 31.4

[tex]~~~~~2^{x+1} = 3^x\\\\\implies \ln \left(2^{x+1}\right) = \ln\left(3^x \right)\\\\\\\implies (x+1) \ln 2 = x \ln 3\\\\\\\implies \dfrac{x+1}x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies 1+ \dfrac 1x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies \dfrac 1x = \dfrac{\ln 3 }{ \ln 2}-1\\\\\\\implies \dfrac 1x = \dfrac{ \ln 3 - \ln 2}{\ln 2}\\\\\\\implies x = \dfrac{\ln 2}{\ln 3 - \ln 2}\\\\\\\implies x \approx 1.7095\\\\\\[/tex]

Answer:

Domain: All real numbers

Range: y≤5

Step-by-step explanation:

Domain: All real numbers (it can be all x values)

Range: y≤5  (the y values can be 5 or less.)

Answer:

Your answer is B

y < x

y ≥ -x

Step-by-step explanation:

6.14 Checkpoint: Systems of Linear Inequalities

I took the test.

Answer:

B is correct because I too took the test.

6.14 Checkpoint: Systems of Linear Inequalities

Step-by-step explanation:

You're welcome.

[tex]-2x+5y +3=0~~~~~~.....(i)\\\\x-4y -12=0~~~~~~,,,,(ii)\\\\\\~~~~~~~~\dfrac{x}{5(-12)-3(-4)} = \dfrac{y}{3\cdot 1 -(-2)(-12)}=\dfrac{1}{(-2)(-4)-5\cdot 1} \\\\\\\implies \dfrac{x}{-60+12}= \dfrac{y}{3-24} = \dfrac1{8-5}\\\\\\\implies -\dfrac{x}{48}=-\dfrac y{21} = \dfrac 1{3}\\\\\\\implies x = -\dfrac{48}{3},~~~ y = -\dfrac{21}{3}\\\\\\\implies x = -16, ~~~~ y = -7[/tex]

Answer:

(6, 5)

Step-by-step explanation:

Coordinates are written in the form (x, y), where x is the x-axis value that the point is in, in this case 6, and where y is the y-axis value, in this case 5.

Answer:

the answer would be (6,5)

The maximum amount of profit the company can make is 9274

Differentiation is the rate of change of one quantity with respect to the other.

It is the ratio of the change in one quantity, usually the dependent quantity to the change in another related quantity, usually the independent quantity.

Analysis:

y= -6x^2 + 600x - 5726

differentiating the equation,

dy/dx = -12x + 600

for maximum selling price, dy/dx = 0

-12x + 600 = 0

12x = 600

x = 50

The maximum selling price is 50, so substituting x to find y

y = -6(50)(50) + 600(50) - 5726 = 9274

In conclusion, the maximum amount of profit the company can make is 9274.

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Answer:

Im pretty sure its 144 cm

Step-by-step explanation:

Answer:108

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Step-by-step explanation:8 pieces of glass uses 1 sqft. glass window. 864 sqin. required = = 108 pieces. Number of pieces required for 864 sq.inches = 108 pieces.

There is no association in scatter plot of the annual tuition and parent rating of the 12 private schools

We can see that the points on the scatter plot are scattered, and they do not follow a specific pattern.

This means that there is no association in scatter plot

A point that would affect the appropriateness is a point that is relatively far from other data points i.e. an outlier

An example of this point is the point between x = 8000 and 10000 and y = 0 and 10

This school would have a high rating and a medium or not so high cost

From the scatter plot, an example of a school that has this feature have a tuition close to $6000 and rating close to 90

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A) the angles

Similar triangles are triangles that have the same shape but different sizes.

Angles

Since similar triangles have the same shape, all of the angles must be congruent. If any of the angles are different sizes, then the shape of the entire triangle would change.

Sides

The sides of a similar triangle are not necessarily congruent. However, because all of the angles are congruent, the sides are proportionate. This means that if you are given the sides and angles of one triangle, you can find the sides and angles of any similar triangle.

Answer

[tex]y=4* 8 -12\\[/tex]

Step-by-step explanation:

4 x 8 = 32

y=32-12

y=20

The number of zeros of the given Polynomial which are α, β and γ are; A:3

We are given the Polynomial;

x³ - 8x² + 4x - 4 = 0

From online polynomial root calculator, to roots of the Polynomial are;

7.54, 0.23, 0.23.

α = 7.54

β = 0.23

γ = 0.23

Thus, we see that there are three roots of the Polynomial. although the latter 2 are imaginary roots.

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Applying the property of exponents, the simplest radical form of [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex] is: [tex]\sqrt{x}[/tex].

The property of exponents that can be used to solve this problem are:

[tex]a^{-m} = \frac{1}{a^m} \\\\ a^{\frac{1}{2} } = \sqrt{a}[/tex]

Given the expression, [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex], applying the property of exponents, we would simplify the expression as shown below:

[tex]\frac{1}{x^{-\frac{3}{6} }} = x^{\frac{3}{6} }[/tex]

Reduce the fraction

[tex]= x^{\frac{1}{2} }\\\\ = \sqrt{x}[/tex]

Therefore, [tex]\frac{1}{x^{-\frac{3}{6} }} = \sqrt{x}[/tex]

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It depends on the size of the portion and you divide that size by 3 and the result comes out

There are four ways to fold the square into half and the number of ways to fold the letter G is 0

A square has 4 lines of symmetry.

Each line of symmetry divides the square into half

This means that the square can be folded in any of its line of symmetry to get one half

Hence, there are four ways to fold the square into half

The letter G has no line of symmetry.

This means that the letter cannot be folded so that the halves fit perfectly

Hence, the number of ways to fold the letter G is 0

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solve the equation:-

[tex] - 7n + m[/tex]

[tex] m = - 1.2 \\ n = - 4.8[/tex]

Putting the value:-

[tex] - 7( - 4.8) + ( - 1.2) \\ - 33.6 - 1.2 \\ - 34.8[/tex]

Answer:

45%

Step-by-step explanation:

216/480

216 ÷ 480

= 0.45

0.45 × 100

= 45%

Answer:

Step-by-step explanation:

1) [tex]\overline{AC}[/tex] bisects [tex]\overline{BD}[/tex] and [tex]\overline{BC} \parallel \overline{AD}[/tex] (given)

2) [tex]\overline{AE} \cong \overline{EC}[/tex] (a bisector splits a segment into two congruent parts)

3) [tex]\angle BCE \cong \angle EAD[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

4) [tex]\angle CBE \cong \angle EDA[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

5) [tex]\triangle BEC \cong \triangle DEA[/tex] (AAS)

Answer:

z = 0

y = -3x/2 + 3

Step-by-step explanation:

6x + 4y + z = 12

6x + 4y + 2z = 12

6x + 4y + 3z = 12

Second equation minus first equation:

z = 0

If you plug in z = 0 in all the original equations, you get a single equation:

3x + 2y = 6

The best you can do is to solve for y in terms of x.

y = -3x/2 + 3

Answer:

z = 0

y = -3x/2 + 3