Jane has a piece of wood in the shape of a right rectangular prism. She cuts out 44 identical square holes in the wood. What is the surface area of the piece of wood after she cuts it?.

The statement "The slope of the linear regression line can be calculated using any two points in the data." is always true for any two points.

Linear regression shows the relationship between two variables by fitting a linear equation to observed data. One variable is considered to be an explanatory variable, and the other is considered to be a dependent variable.

A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.

Firstly, as per difinition the equation of linear regression line is

y= a + bx, where b is the slope of the line and a is intercept .

The formula to calculate the slope of the line be,

[tex]b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^{2}) - (\sum x)^2 }[/tex]

here n represent the number of data given in a question, x and y are the two points.

If we look at the formula with point x and y the slope can't be calculated.

Also, the equation of linear regression line , y= a+ bx also contain two points (x, y).

As per the discussion it is not possible to calculate the slope of linear regression line without two points.

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Answer:

135 choices

Step-by-step explanation:

5 choices for 1st dig

3 choices for 2nd dig

9 choices for third digit

5 x 3 x 9 = 135

Answer:

135

Step-by-step explanation:

But, for the last digit that is go from 0-9 except the 4

So it also depends on the range for the last digit

Hope this helped! :)

The equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.

The area of a rectangle is the product of its length and breadth. It is given by the formula,

Area of rectangle  =  Length × width

Given the length of the rectangle is 2.5x+1.5, while the width is 4. Also, it is mentioned in the question that the area of the rectangle is 36 square units. Therefore, we can write the area of the rectangle as,

[tex](2.5 x+1.5) \times 4 = 36\\\\(2.5 x \times 4) +(1.5\times 4) = 36\\\\10x + 6=36\\\\x = \dfrac{36-6}{10}\\\\x = 3[/tex]

Hence, the equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.

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Answer:

D

Step-by-step explanation:

Shift down 2 units, you want to make the graph only move in the y direction and take it back to the origin

Answer:

approx 8.5 cm

Step-by-step explanation:

Given:

Volume= 225 cm^2

Diameter= 10cm

∴Radius= 10/2= 5cm

Volume of cone= 1/3 pi r^2 h

(now substitute the values we know),

225 = 1/3 * pi * (5)^2 *h

225*3= 25*pi*h

675= 25*pi*h

675/25= pi*h

27= 22/7*h

h= 27* 7/22

h= 8.5 cm approx.

I have mentioned every minor step. Hope it helps!!

Answer:

(-4 + 2 • h(4))^2

Step-by-step explanation:

h(4)h(4)

↓

h(4) • h(4) = (-4 +2 • h(4)) • (-4 +2 • h(4))

↓

Calculate

(-4+2× h(4)) × (-4+2× h(4))

Simplify using exponent rule with same base

a^n • a^m = a^n+m

(-4+2× h(4))^2

I hope this helps out.

series: 125, 25, 5, ...

We can identify geometric series by:

√first term x third term = second term

√125 x 5 = 25

Hence this is a geometric series.

Common difference:

25 ÷ 5      or     125 ÷ 25

5                            5

The common difference is equal to 5.

I believe that the answer is 21.48

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

We have,

The formula for the circumference (C) of a circle is:

C = 2πr

where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

In this case, the radius of the rug is 3.5 feet, so we can calculate the circumference as:

C = 2 × 3.14 × 3.5 = 21.98 feet

Therefore,

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

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Answer:

A' = (-4, -2.5)

B' = (1.5, 2.5)

C' = (-1, 5)

Step-by-step explanation:

Dilation using the origin as a center means that we multiply each coordinate by 0.5:

[tex]A = (-8, -5)\\ \\B = (3, 5)\\ \\C = (-2, 10)[/tex]

[tex]A' = (-4, -2.5)\\ \\B' = (1.5, 2.5)\\ \\C' = (-1, 5)[/tex]

The space inside the steps will be 0.04 cubic meter

The space in a three dimensional region occupied by any body is called as volume.

Assume the steps have the dimensions shown in the diagram below.

We can decompose them into two rectangular prisms.

The lower prism has the dimensions 20 in × 16 in × 6 in.

The upper prism has the dimensions 20 in ×   8 in × 6 in.

1. Volume of lower prism

V = lwh = 20 in × 16 in × 6 in = 1920 in³

2. Volume of upper prism

V = lwh = 20 in × 8 in × 6 in = 960 in³

3. Volume of steps

V = 1920 in³ + 960 in³ = 2880 in³

Or the volume in meter will be 2880 cubic inches = 0.04 cubic meters.

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Answer:

104

Step-by-step explanation:

Simple addition:

Add the units place first:

2+2 = 4

Now add the tens together:

60+40= 100

Now add the 2 numbers together to give you 104.

Answer:

The answer is:

[tex](56 - 28 \sqrt{3} )m[/tex]

Step-by-step explanation:

Let the broken part is (x) m

so other part is (14-x) m

[tex] \sin(60) = \frac{14 - x}{x} [/tex]

[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

[tex] = x = (56 - 28 \sqrt{3} )m[/tex]

Answer:

[tex]4\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{80}=\sqrt{16*5} =\sqrt{16}*\sqrt{5}=4\sqrt{5}[/tex]

Answer:

The answer is three

Step-by-step explanation:

The formula to find the area is the width times the length. The area of the big rectangle is three times more than the smaller rectangle.

Answer:

Length: 8 cm

Width: 2 cm

Step-by-step explanation:

Check the attachment.

Answer:

Below in bold.

Step-by-step explanation:

588000 is close to 600000

6% of this = 600000 * 0.06

= 36,000 sq. miles.

Answer:

35,280 square miles

Step-by-step explanation:

Answer:

hi I need actually a lot of help with Matt since I'm not the best?

Answer:

18x⁴ - 30x³ + 66x² - 40x + 56

Step-by-step explanation:

1) Distribute

2) Distribute

3) Distribute

4) Combine like terms

Expression

Example: 2 + 2 = 4

Combination

Answer:

The product would be 18x^4 - 30x^3 + 66x^2 - 40x + 56

Step-by-step explanation:

Answer:

Step-by-step explanation:

With the tail wind the total speed is the sum of the speeds of plane and wind.

When into wind the total speed is the difference of speeds of plane and wind.

The first equation is

The second equation is

Simplify both equations and solve the system

Solve by elimination, add up the equations

Find the value of w

Answer:

720

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

6! = 6*5*4*3*2*1 = 720

The volume of the sphere is the amount of space in it, and the value closest to the radius is 3.5 cm

The volume is given as:

V = 179.6

The volume is calculated using:

V = 4/3πr³

So, we have:

4/3πr³ = 179.6

Multiply both sides by 3/4

πr³ = 134/7

Divide both sides by π

r³ = 42.88

Take the cube root of both sides

r = 3.5

Hence, the value closest to the radius is 3.5 cm

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Answer:

120

Step-by-step explanation:

because its parallel to 3 and if its a reflection or rotation of it it would be the same so it would be 120 degrees

Answer:

A

Step-by-step explanation:

Y intercept is -3

Rise 2 run 1

It's not entirely clear what the full instructions are, and I wish your teacher posted a diagram of figures A and B. However, I think I know what your teacher is after.

I'm assuming this is pertaining to similar polygons.

The larger figure has a side length of 88 ft and corresponds to the smaller side length of 11 ft. This is a scale factor of 11/88 = 1/8 = 0.125

What it means is that we multiply each larger side length by 1/8 or 0.125 to get the smaller corresponding side length. In other words, 88*(1/8) = 11

Square this linear scale factor to get the area scale factor

(1/8)^2 = (0.125)^2 = 0.015625

This value of 0.015625 is the area scale factor. We multiply this by the area of figure A to get

4928*0.015625 = 77

This is how your teacher got 77 as the final answer for figure B.

------------------------------------------------------

Admittedly this concept is a bit confusing at first.

Let's do another example.

Consider a 2 by 3 rectangle of area 2*3 = 6 square units.

Now apply a linear scale factor of 4 to quadruple each side. We get a 8 by 12 rectangle of area 8*12 = 96.

Notice the jump from 6 to 96 is "times 16" (since 96/6 = 16) and it's no coincidence that 16 is 4^2, i.e. the result of squaring the linear scale factor.

new area = (area scale factor)*(old area)

new area = 16*(old area)

new area = 16*6

new area = 96

This shows that 16 is the area scale factor.

Answer:

45:4 or 4:45

Step-by-step explanation:

Depends on which

Answer:

110 pages

Step-by-step explanation:

Let number of pages read on 1st day = x

-> No. of pages read on 2nd day = 2x

& No. of pages read on 3rd day = x - 6

Total no of pages read = 458

-> x + 2x + x - 6 = 458

-> 4x - 6 = 458

-> 4x = 458 + 6

-> 4x = 464

-> x = 464/4

-> x = 116

No of pages read on third day = x - 6 = 116 - 6 = 110

Answer:

a = [tex]\sqrt{68}[/tex] = 8.2

Step-by-step explanation:

Look at picture ↓

[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]:)[/tex]

Answer:

60

Step-by-step explanation:

You have the proper formula. You just need to swap some things around so we aren't solving for C. C is always the hypotenuse, the diagonal line opposite the right triangle. A and B can be either side unless specified.

1. The side we're solving for can either be called a or b. Let's call it A.

2. Now, switch around the theorem to solve for a: [tex]C^2-B^2=A^2\\[/tex]

3. Plug in what we know: [tex]8^2-2^2=a^2[/tex]

4. It simplifies down to [tex]60=a^2[/tex]

5. The  "[tex]a^2[/tex] " means to square the a. We need to undo that to get a by itself. The opposite of squared is the square root

6. This leaves us to take the square root of both sides, which isolates a.

7. [tex]\sqrt{60}[/tex] is the answer. It's asking for it in the square root so we don't need to simplify it.

Answer:

37

Step-by-step explanation:

Linear pairs are supplementary (adds up to 180)

m∠1 + m∠2 = 180

3x + 4 + 2x - 9 = 180

5x - 5 = 180

5x = 185

x = 37

Hope this helps :)

Have a nice day!