The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons. What was the total paper waste generated over these two years in the region, expressed in scientific notation?

91.8 ⋅ 107 tons
91.8 ⋅ 1014 tons
9.18 ⋅ 1014 tons
9.18 ⋅ 107 tons

Answer:50

Step-by-step explanation:

Answer:

-1=-2

4=-7

Step-by-step explanation:

for x=-1

y=(-1^2)+(2*-1)+1

y=-1-2+1

y=-2

for x=1

y= (-1^2)+(2*1)+1

y= -1+2+1

y=2

for x=4

y=(-4^2)+(2*4)+1

y=-16+8+1

y=-7

Answer:

A.

Step-by-step explanation:

Find the area of the triangle: 26-20=6. 14x6=84/2=42. Now that we calculated the triangle's area, we need to find out the rectangle's. 20x14=280. Add them up: 280+42=322 mm^2. Triangle: b x h/2. Rectangle: l x h.

The area of a 2D form is the amount of space within its perimeter. The area of the given figure is 322 mm². The correct option is A.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The given figure can be broken into a rectangle and a right-angle triangle, in order to calculate the area of the given polygon.

The area of the rectangle with a length of 20mm and height of 14 mm is,

Area of the rectangle = 20mm × 14mm

                                    = 280 mm²

The area of the right-angled triangle with a base length of 6mm and height of 14 mm is,

Area of the triangle = (1/2) × 6mm × 14mm

                                 = 42 mm²

Now, the total area of the given figure can be written as,

The total area of the given figure

= Area of the rectangle + Area of the triangle

= 280 mm² + 42 mm²

= 322 mm²

Hence, the area of the given figure is 322 mm².

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260 units2 is the answer

Answer:10% increase

Step-by-step explanation:

49500-45000=4500

4500/45000=0.1

0.1x100=10

10% increase

Answer:

10%

Step-by-step explanation:

follow the rules of calculating percentages.

fractions, decimals, etc.

pls mark brainliest

Step-by-step explanation:

8) earning of 4.5 hours=$54

earning of 1 hour=$54/4.5

earning of 1 hour=$12

9)perimeter=36 feet

length is twice so

length=2x

width=x

perimeter = 2(length+width)

36=2(2x+x)

2x+x=36/2

3x=18

x=6

width=6 feet

length=2(6)

length=12 feet

Area of rectangle= length * width

area=12*6 sq.feet

area= 72 sq.feet

interval [3,6]

as you can see only values of x, having a value y in the graph.

Answer: You started at (-3, 4)

Step-by-step explanation:

If you started at (-3, 4) and moved down 3 units, you would be at (-6, 4). If you moved back up 3 units, you would be at your original starting point (-3, 4).

Answer:

Step-by-step explanation:

All motion here is up and down, so the x-coordinate does not change.

Work backwards to answer this question:

(-3, 4), and down three units, and then up three, puts you where you started, at (-3, 4).

Answer:

30% = 30/100 = 0.3

1.3 would be 130%

I hope this helps you!

30% is equivalent to 0.30 or 3/10, but not 1.3.

There seems to be an error in the statement that 30% is equivalent to 1.3. That is not correct.

To clarify, 30% is equivalent to the decimal value 0.30 or the fraction 3/10.

To convert a percentage to a decimal, we divide the percentage value by 100. In this case, 30 divided by 100 equals 0.30.

If you were looking for a value that represents a 30% increase or an amount including a 30% addition, you would multiply the original value by 1.3, not 30%. For example, if you have a value of $100 and want to increase it by 30%, you would multiply $100 by 1.3, resulting in $130.

So, 30% is equivalent to 0.30 or 3/10, but not 1.3.

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The construction that you can use to prove the Pythagorean Theorem based on similarity of triangles is 2nd construction. Please see the attached file.

Two triangles are similar triangles of their corresponding angles are equal corresponding sides are in equal ratios.

The Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It mentions that the sum of the squares of the other two sides is equal to the square of the hypotenuse (the side opposite the right angle).

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Answer:

=1468 in ^3

Step-by-step explanation:

Find the volume of the container as if the corner was still there

V = l*w*h

V = 10 * 10 *15

  = 1500

Subtract the missing corner

The volume of the missing piece is

V = l*w*h

   = 2*4*4

   = 32

V = 1500-32

   =1468 in ^3

Answer:

It is 1468 inches cubed.

Step-by-step explanation:

You first want to the volume of the entire shape by multiplying the length, width, and height, which is 10, 10, and 15.  They multiply to become 1500 inches cubed.  You then want to find the volume of the smaller rectangular shape, so multiply 4, 4, and 2.  And that equals 32.  So subtract the volume of the big shape that we found, 1500, by the volume of the small one, which is 32.  That equals 1468 inches cubed.  You want to subtract the volume of the big one by the small one because the volume is just the big shape with a small shape cut out of it.  So whenever you get one of these problems, just find the volume of both shapes, the big one and the small one, and subtract the small one from the big one.

Answer:

Rational, irrational, irrational

Step-by-step explanation:

A) sqrt(16)=4 which is rational

B) and C) are both irrational

Answer:

they are all irrational numbers but unfortunately I can't go step by step please excluding the square root of 16

Answer:

  17.2 ft

Step-by-step explanation:

The angle that the fence makes opposite the wall is ...

  180° -45° -65° = 70°

The law of cosines can be used to find the lengths of fence needed.

The fence opposite the 45° angle will have a length of ...

  short side = (10 ft)·sin(45°)/sin(70°) = 7.525 . . . feet

The fence opposite the 65° angle will have a length of ...

  long side = (10 ft)·sin(65°)/sin(70°) = 9.645 . . . feet

Then the total length of fence required is ...

  7.525 ft +9.645 ft = 17.170 ft

About 17.2 feet of chain-link fence is required to complete the enclosure.

_____

We have assumed there is no chain-link fence along the 10 ft wall.

_____

The Law of Sines tells you that for sides a, b, c and opposite angles A, B, C, you have ...

  a/sin(A) = b/sin(B) = c/sin(C)

For some given side 'a' and opposite angle A, the other two sides can be found from their opposite angles as ...

  b = sin(B)·a/sin(A)

  c = sin(C)·a/sin(A)

Answer:

irrational because it's recurring

Answer:

irrational numbers

Step-by-step explanation:

because it's recurring

Answer:

I believe it's (4^2)*12

Step-by-step explanation:

To find the correct amount of the window panes there are, we have to find how much window pains are in each of the window's. So we have a 4 by 4 so that's 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes

Hope this helps! ∪ω∪

Answer:

[tex]\frac{(s^8t^4)}{r^{12}}[/tex]

Step-by-step explanation:

Assuming that you tried to write:

[tex](r^{-3} s^2 t)^4,[/tex]

we can multiply the 4 on the outside of the parenthesis to all the terms. Multiplying, we get

[tex](r^{-12}s^8t^4)[/tex]

Because you don't want any negative powers in the top, we can move it down to get:

[tex]\frac{(s^8t^4)}{r^{12}}[/tex]

Answer:

there is no sign in between the two terms in the parenthese, maybe a google search on the properties of exponents would help because that's what this seems like

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

$20/$3 = 6.666...

We need to round down to 6.

Answer:

She can get 6 gold fish

Step-by-step explanation:

Take the amount of money and divide by the cost of the gold fish

20/3 = 6 with 2 dollars left over

She can get 6 gold fish

Answer:

The area of the figure shown is 37.5cm^2, or 37 1/2cm^2, depending on what it wants from you.

Step-by-step explanation:

Break the shape into a triangle with measurements of 2.5, and 6.

And then the Rectangle with measurements of 6, and 5.

area of a rectangle is w*l so 6*5=30in

Area of a triangle is b*h*1/2 or b*h divided by 2 (either way both are the same, chose what makes you comfortable, I will use the first one.),

2.5*6*1/2

2.5*6=15

15*1/2=7 1/2cm or as a decimal 7.5cm

Now add the two for the full area, 30+7.5=37.5cm

If you have any questions regarding my question tell them to me in the comments and I will come answer them. Have a good day.

Answer:

Hope it helps this is an isosceles triangle

Answer:

[tex]\boxed{x=1}[/tex]

Step-by-step explanation:

[tex]2(10-2x) = 4(3x + 1)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]20 - 4x = 12x + 4[/tex]

[tex]\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.[/tex]

[tex]20 - 4x - 12x - 20 = 12x + 4 - 12x - 20[/tex]

[tex]-16x = -16[/tex]

[tex]\sf Divide \ both \ sides \ by \ -16.[/tex]

[tex]\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}[/tex]

[tex]x=1[/tex]

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▹ Answer

x = 1

▹ Step-by-Step Explanation

2(10 - 2x) = 4(3x + 1)

Simple terms are written last:

2(-2x + 10) = 4(3x + 1)

Distributive Property:

-2 * 2x + 2 * 10 = 4 * 3x + 4

x = 1

Hope this helps!

CloutAnswers ❁

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Answer:

All numbers except 1

Step-by-step explanation:

The graph has an asymptote at 1.

So the function will grow toward but without reaching it.

The equation of the asymptote is x=1

So the domain is all real numbers except 1.

Answer:

The answer would be B if its reffering to the photo and A if its reffering to the scale.

Answer:

-2y(y + 4)

Step-by-step explanation:

-10y^2 - 3y - (5y - 8y^2)

= -10y^2 - 3y - 5y + 8y^2

= -2y^2 - 8y

= -2y(y + 4)

Answer:

domain={8,7,6,5,4,3,2,1,0}

Answer:

[tex]\boxed{0 \leq x \leq R}[/tex]

Step-by-step explanation:

Well domain is the amount of x values on a graph,

so looking at the given graph we can tell the x values start at 0 and since it is a solid dot the x is greater than or equal to 0 then you can tell by the arrow that the line goes on forever.

0 ≤ x ≤ R

The R stands for all real numbers.

Hope this helps :)

Your function is: [tex]f(x)=\frac{1}{2}\cos \Big( \frac{1}{4x}\Big) -1[/tex]

Domain: $(-\infty, +\infty)-\{ 0 \}$ or $R-\{ 0 \}$

Range: $[-\frac{3}{2}, -\frac{1}{2}]$

Midline: $y=-1$

Answer:

[tex]y=csc(\theta)[/tex]

[tex]y=cot(\theta)[/tex]

Step-by-step explanation:

I will just change

[tex]x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}[/tex]

For

[tex]\theta = \pi n, n\in\mathbb{Z}[/tex]

Also, note that sine and cosine function don't have asymptotes.

The vertical asymptotes of cosecant occur every [tex]\pi n, n\in\mathbb{Z}[/tex]

It happens because the cosecant function is undefined for those values.

The cotangent function has asymptotes located at every integer multiple of [tex]\pi[/tex].

On the other hand, the vertical asymptotes of tangent function occur at:  

[tex]$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$[/tex]

It happens because the tangent function is undefined for those values.

Answer:

It's y = csc x and y = cot x.

Step-by-step explanation: