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

The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

In first swing = 10 m

In second swing = (9/10)10 m = 9 m

In the second swing = (9/10)9 =81/10

10, 9, 81/10,..

This is the geometric sequence with the first term being 10 and the common ratio being 9/10.

a = 10

r = 9/10

The sum of geometric sequence up to 25th terms:

S = a(1 - rⁿ)/(1 - r)

S = 10(1 - (9/10)²⁵)/(1 - 9/10)

S = 92.82 m

Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

Learn more about the sequence here:

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Answer:

A.  3 (1,2,3,4,5) B 60%

Step-by-step explanation:

Answer:

a) {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T} b) 1H,3H,5H,1T,3T,5T

Step-by-step explanation:

a)

sample space is basically all possible outcomes in a list so {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T}

b)

favorable outcomes of choosing an odd number are the outcomes with odd numbers so 1H,3H,5H,1T,3T,5T

1.) 2a - 4b + 3ab -5a + 2b

= 3ab -3a -2b

2.) 4(2x+1)-3x

= 8x+4 -3x

= 5x + 4

3.) 4(p-5) +3(p+1)

= 4p-20 + 3p+3

= 7p -17

4.) 6(p+3q) - (7 + 4q)

= 6p+18q -7 -4q

= 6p + 14q -7

5.) 4rs -2s -3(rs +1) -2s

= 4rs -4s -3rs -3

= rs -4s - 3

Must click thanks and mark brainliest

Answer:

0-5

always start from zero which is the origin

Answer:

- 6/5

Step-by-step explanation:

To find the slope

m = ( y2-y1)/(x2-x1)

   = ( -5-1)/(2- -3)

   = (-5-1)/(2+3)

  - 6/5

Answer:

-6/5 or -1 1/5

Step-by-step explanation:

The formula to find the slope with any 2 points of a line is rise/run, or

(y2-y1)/(x2-x1)

In this case, y2 is -5, y1 is 1, x1 is -3, and x2 is 2.

So, the slope is:

(-5-1)/(2-(-3))

-6/5 which, as a mixed number, is -1 1/5.

You can also graph out the points on a coordinate plane, draw the line between the points, and count the rise/run, but that might take a minute or two, which is not the best if you have a timed test.

Answer:

8(3j -2)

4(6j -4)

Step-by-step explanation:

24j - 16

Rewriting

8*3*j - 8*2

Factor out the greatest common factor

8(3j -2)

We can also factor out 4

4*6j - 4*4

4(6j -4)

Answer:

A & C

Step-by-step explanation:

A) 8(3j-2)

= 24j-16

B) 6(4j-2j)

= 24j -12 j (not equal)

C) 4 (6j-4)

24j -16

D) 2(12-8)

24-16 (not equal)

Therefore only A and C are equivalent to 24j-16

Answered by Gauthmath

Answer: 1.5

Step-by-step explanation: Given:

                                       A=1/10×5 + 11²

                                        B= 5 - 11²

                              If     c = A + B

                                      c = ( 1/10×5 +11²) + ( 5 - 11² )

                                              = ( 5/10 + 121) + ( 5 - 121)

                                                = ( 121.5) + ( -120)

                                                    = 121.5 - 120

                                                    =  1.5  

Answer:

b and d

Step-by-step explanation:

Answer:

10/13, 2/3, 7/11, 3/5, 5/9

Step-by-step explanation:

5/9 , 7/11, 3/5, 2/3, 10/13

Changing to decimal form

.5555(repeating), .636363(repeating), .6 , .666(repeating) ,.769230769

The largest is 10/13

Then 2/3

Then 7/11

Then 3/5

The smallest is 5/9

Answer:

111

Step-by-step explanation:

111

Answer:

Step-by-step explanation:

Scale factor:

When applied to the area consider k² as a scale factor.

The actual area:

The area on the map:

Answer:

50/3

Step-by-step explanation:

area of triangle = 10

area of circle = 10

area of triangle + area of circle = 20

The white sector of the circle has central angle 60°.

Its area is 1/6 the area of the circle.

To find the gray area, you must subtract the white area from the area of the circle and also subtract the white area from the area of the triangle. Two times the white area is 1/3 the area of the circle.

gray area = 20 - (1/3)10

gray area = 20 - 10/3

gray area = 60/3 - 10/3

gray area = 50/3

Answer:

The white sector of the circle = (1/6) (10) = 10/6 = 5/3

So....the grey area = 10 + 10 - 2 (5/3) = 20 - 10/3 = 60/3 - 10/3 = 50 / 3

MARK BRAINLIEST

The volume of the marbles is   26-20.9 = 5.1 l      and there ar e85 marbles

5.1/85 = .06 l/marble

then 200 marbles would requrie    .06 l/marble x 200 marbles = 12 liters

so he would only need  26-12= 14 liters of water to fill the tank !

Answer:

14 marbles

Step-by-step explanation:

Answer:

A,B,C

Step-by-step explanation:

if you see that two small make a square then you know three make one and a half.

Answer:

I think e no answer is correct

Answer:

alexander

Step-by-step explanation:

Answer:

Step-byit is alexander

Answer:

0.04

Step-by-step explanation:

4%/100% = 4/100 = 0.04

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

4/100=0.04

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Your picture is black

Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

Answer:

Question 1's answer is 75 mph

Question 2's answer is 30 minutes

Step-by-step explanation:

Answer:

1. 65mph

2. 1/2 hour

Step-by-step explanation:

1. The equation is D=R×T. Since the distance was 130 miles and the time was 2 hours, rewrite the equation as 130=2R. Divide both sides by 2 and you get R=65

2. Using the equation, write 35 miles as distance and 70 mph as rate: 35=70T. Divide both sides by 70: T=0.5, which is equal to 1/2 hour, or 30 minutes.

Answer:   -12 - 3 = -15

Explanation:

We start at -12 which goes in the first box.

Moving to the left 3 units means we subtract off 3, so that's why 3 goes in the second box.

The arrow is pointing at -15 as the final destination, which goes in the final third box.

Answer:

1 13/18

Step-by-step explanation:

Get a common denominator of 18

8/9+2/3+1/6

8/9 *2/2  + 2/3 *6/6  + 1/6 *3/3

16/18 + 12/18 + 3/18

31/18

18/18+13/18

1 13/18

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{The Lowest Common Denominator (LCD) of these fraction is: \bf 18}[/tex]

[tex]\mathsf{\dfrac{8}{9}+\dfrac{2}{3}+ \dfrac{1}{6}}\\\\\mathsf{= \dfrac{8\times2}{9\times2}+\dfrac{2\times6}{3\times6}+ \dfrac{1\times3}{6\times3}}\\\\\mathsf{8\times2=\bf 16}\\\mathsf{2\times6=\bf 12}\\\mathsf{1\times3 = \bf 3}\\\\\mathsf{9\times2=\bf 18}\\\mathsf{3\times6= \bf 18}\\\mathsf{6\times3 = \bf 18}\\\\\mathsf{\dfrac{16 + 12 + 3}{18}}\\\\\mathsf{16+12+3}\\\mathsf{= 28 + 3}\\\mathsf{=\bf 31}\\\\\\\mathsf{ = \bf 1 \dfrac{13}{18}}\\\\\\\boxed{\huge\textsf{Answer: \boxed{\mathsf{1 \dfrac{13}{18}}}}}}[/tex] ☑

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Substitute the point into the equation and solve for b

5 = -2(1)+b

5 = -2+b

Add 2 to each side

5+2 = -2+b+2

7=b

y = -2x+7

Answer:

19.5

Step-by-step explanation:

The equation to find the nth term is:

an = a+(n-1)d

Where a is the first term in the sequence, which is 1 and d is the difference, which in this sequence the next term is found by adding 2 to the previous term, so d = 2 and n is the term you want to find.

The equation is:

an = 1 + (n-1)2

a24 = 1 + (24-1)2 = 1 + 23(2) = 1+46 = 47

Answer:

2 is my answer

Step-by-step explanation: