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[tex]\large{\mathcal{QUESTION:}}[/tex]

An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?

[tex]\large{\mathcal{ANSWER:}}[/tex]

B. 17 inches by 8 inches

The minimum dimensions needed for the sheet of glass are B. 17 inches by 8 inches

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that elliptical mirror has an eccentricity of 0.8.

Since the mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass,

We can conclude that the minimum dimensions needed for the sheet of glass could be;

17 inches by 8 inches

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Answer:

a no association b non liner c liner d liner

Answer:

A) No association
B) Nonlinear
C) Linear
D) Nonlinear

Step-by-step explanation:

Linear Relationship: A linear relationship is one in which the scatter plot resembles a straight line. When one variable increases, the other variable increases or decreases proportionally.

Nonlinear Relationship: A nonlinear relationship is one in which the scatter plot does not resemble a straight line. It could resemble a curve or it could not resemble anything at all. A proportional increase or decrease in one variable does not result in a proportional rise or decrease in the other variable.

No Association: a graph of data showing discrete (individual) points of data that are not connected.

Using these definitions we can conclude whether the graphs are linear, nonlinear, or no association.

Answer:

m=3 n=6

Step-by-step explanation:

top diagonals are congruent

9 = 3m

solve for m

m = 3

bottom diagonals are congruent

m + 8 = 2n -1

plug in 3 for m

3 + 8 = 2n -1

solve for n

11 +1 = 2n

12 = 2n

n=6

Answer:

[tex] - 3 - 9 = - 3y \\ - 12 = - 3y \\ y = ( - 12) \div ( - 3) \\ y = 4[/tex]

Answer:

Step-by-step explanation:

Convert the volume from L to mL according to capacity of the can.

Answer:

2320 milliliters

Step-by-step explanation:

1 liter = 1000 milliliters

If the can has a capacity of 2.32 liters, then to calculate how many milliliters it can hold, we need to multiply it by 1000:

⇒ 2.32 liters = 2.32 × 1000

                     = 2320 milliliters

**To multiply a number by 1000, simply move the decimal point 3 places to the right**

Answer:

it equals 57,471

Step-by-step explanation:

5000000÷87=57,471

Use the distributive property:-

4(2x-1)

8x-4

8x-4+3=8x+1

8x-8x-4+3=1

8x-8x-1=1

0-1=1

-1=1

Wait, what? -1 is equal to 1?

Hence, the equation has no solutions.

Hope it helps :)

2870 miles

D= s x t

= 820 x 3.5

=2870

Hope this helps!

To find the slope:

 ⇒ must know the slope's formula

    ⇒ [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

        ⇒ [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] are any points on the line

           ⇒ we use (-1,2) and (0,5) since they are the only points that we

                know that are on the line

Let's solve:

  [tex]Slope = \frac{5-2}{0--1} =\frac{3}{1}[/tex]

Slope is 3

Hope that helps!

Answer:

{-9, -3, 0, 5, 7}

Step-by-step explanation:

Well, you already have the relation of the function. The domain of a function are its x coordinates and the range are all the y coordinates:

0, -3, -9, 5, 7

We write them in ascending order:

-9, -3, 0, 5, 7

And this way we get the range

It is important to check if the coordinates you are given can form a function. In this case they do, but in other cases they might not.

If you have coordinates where for example there are two equal values of x but the y is different in both, for example (1, 2) and (1, 5), this cannot be a function because y can be on two possible destinations for the same value of x.

Answer:

I hope it will help you.

Step-by-step explanation:

Dear Teacher

Your way of setting up with math makes it easier to learn.

There's few lines for you. I hope you like it

An Awesome Math

Teacher Is Hard To Find

Difficult To Part With,

And IMPOSSIBLE To Forget.

MATH may not teach us how to ADD love or SUBTRACT hate but it gives us hope that EVERY PROBLEM has a SOLUTION.

Answer:

please can you resend the question clearly maybe with a diagram

Answer:

The data is more spread out so their is a greater variability in the data.

Step-by-step explanation:

The Mean absolute deviation is large, then the data is more spread out  and there is greater variability in the data.

Mean absolute deviation is "collected data set is the average of absolute deviations from the center point of the data set".

According to the question,

Formula for Mean absolute deviation = summation of ( absolute value of   xₙ - x⁻ divided by number of data values),     where ' xₙ' is the input data values and 'x⁻ ' is mean of the given data values .

When the mean absolute deviation is large number then the data spread out more and the variability is greater in data.

Hence, the Mean absolute deviation is large then there is greater variability in the data.

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Answer:

x=85/5

x= 17

y=95/5

y=19

Step-by-step explanation:

vertically opp angles are equal

Answer:

vertical angles here make an X

1. 5y and 95 are vertical

2. 5x and 85 are vertical

3. x = 17

4. y = 19

.

Step-by-step explanation:

angles MPL and NPO are equal

5x = 85

x = 17

angles MPN and LPO are equal

5y = 95

y = 19

Answer:

19 cubic centimeters

Step-by-step explanation:

The equation for the volume of a sphere is [tex](4/3)\pi r^3[/tex].

We can setup the equation as [tex]29307 = \frac{4}{3}\pi r^3[/tex].

Now we need to isolate the r^3.  Divide both sides by 4/3 and pi, which leaves [tex]\frac{29307}{(4/3) \pi } =r^3[/tex]

Now we take the cube root of both sides to have a single r on the right side.  This comes out to equal 19 cm^3

u can add lines to split the figure into a triangle and two rectangles.

Area of the figure

= (12x15)/2 + 6x4 + 2x5

=124 yd^2

Answer:

I believe using the formula is the best method.

Step-by-step explanation:

If I am able to remember the formula this becomes the easiest method in my opinion. It is very simple and anyone can do it if the know basic algebrA.

Answer:

152

Step-by-step explanation:

2*( (8*2) + (8*^) + (2*6))

Answer: See attached

Step-by-step explanation:

    "Root 9.8" means the square root of 9.8, [tex]\sqrt{9.8}[/tex].

    Since we are being asked to find it on the number line, I am guessing they want us to estimate. We know that the square root of 9, [tex]\sqrt{9}[/tex], is equal to 3. Since 9.8 is slightly bigger than 9, the square root of 9.8 will be a little bit over 3.

   Want to confirm? Using a calculator for the square root of 9.8 gives us 3.13.

Answer: 19,712

Step-by-step explanation: 2816 times 7 = 19712

Answer:

19,712

________________________________________________________

We learned the four steps to solving a multiplication problem, which can be helpful here, and in the future.

Ask me in the comments box.

Answer:

state the problem

ask relevant questions

perform an experiment to collect data

compare with the baseline value of the control group

arrive at a logical conclusion

make a hypothesis

Answer:

5

Step-by-step explanation:

[tex](2x - 1) (x + 3) - (x + 1) (2x - 3) \\\\=(2x^2+6x -x -3)-(2x^2-3x +2x -3)\\\\=(2x^2 +5x -3)-(2x^2-x -3)\\\\=2x^2+5x -3 -2x^2+x+3\\\\=6x[/tex]

Answer:

w = 2/7

Step-by-step explanation:

You do 8 divided by 4 over 7, which is 2/7.

Answer:

  (x-3)(3x-1)/((x-3)(x+2))

Step-by-step explanation:

An equivalent fraction is formed by multiplying or dividing numerator and denominator by the same factor.

__

To get the desired denominator, the given denominator must be multiplied by (x-3). To get the desired numerator of the equivalent fraction, the numerator must also be multiplied by (x-3).

  [tex]\dfrac{3x-1}{x+2}=\boxed{\dfrac{(x-3)(3x-1)}{(x-3)(x+2)}=\dfrac{3x^2-10x+3}{x^2-x-6}}[/tex]

1. Convert 8cm³ into m³

= 8.0E-6 m³

(divide the volume value by 1e+6)

2. Convert 0.7m³ into cm³

= 700000 cm³

(multiply the volume value by 1e+6)

3. Convert 4000000cm³ into m³

= 4 m³

(divide the volume value by 1e+6)

It's a geometric sequence

Formula:&

[tex]\\ \sf\longrightarrow a(n)[/tex]

[tex]\\ \sf\longrightarrow ar^{n-1}[/tex]

[tex]\\ \sf\longrightarrow 1.3125(4)^{n-1}[/tex]