Number of factors of 10 in 10²

Answers

Answer 1

Answer:

24

Step-by-step explanation:

give me brainliest pls


Related Questions

Can anyone write the equation of this graph?

Answers

The translated absolute value function graphed is defined as follows:

y = |x - 3| + 5.

What is the absolute value function?

The absolute value function, of vertex (h,k), is defined by the following piecewise rule, depending on the input of the function:

f(x) = |x - h| + k = x - h + k, x - h ≥ 0.f(x) = |x - h| + k = -x + h - k, x - h < 0.

In this problem, the coordinates of the vertex are given as follows:

h = 3, as the x-coordinate of the vertex is of 3.k = 5, as the y-coordinate of the vertex is of 5.

Hence the vertex is given by the following point:

(3,5).

Then the equation graphed is defined by the rule presented as follows:

y = |x - 3| + 5.

Which is a translation of 3 units right and 5 units up of the standard absolute value function.

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A railroad
car container can hold 42,000 pounds.
Mr. Evans wants to ship 90 ovens and
some freezers in the same container.
If each freezer weighs 600 pounds,
how many freezers could be shipped
in the container? Explain.

Answers

40 freezers could be shipped in the container.

What is a variable?

A variable is a quality that may be measured and take on several values.

We are given that

A railroad container can hold weight=42,000 pounds

Total number of ovens for ship=90

Weight of each oven=200 lbs

Weight of each freezer=600 pounds

We have to find the number of freezers that can be shipped in the container.

Let x be the number of freezers that can be shipped in the container.

According to the question,

42000=90(200)+600x

42000=18000+600x

600x=42000-18000=24000

x=24000/600=40

Hence, 40 freezers can be shipped in the container.

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WXYZ is a kite. ∠WXY has a measure of 94° and ∠ZWX has a measure of 112°. Find the measure of ∠ZYW.

Answers

well, we know WXYZ is a kite, so is a quadrilateral, namely it has 4 sides, and it has two congruent angles, so

[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=4 \end{cases}\implies S=180(4-2)\implies S=360 \\\\[-0.35em] ~\dotfill\\\\ 94+94+112+\measuredangle ZYW=360\implies \implies \measuredangle ZYW=60[/tex]

Check the picture below.

Lol help quick pleaseeeeeeeeee

Answers

The answer to be entered in the boxes for the area model is 17, 0 and 17

How to find the division problem the area model represents?

An area model is a rectangular diagram or model used for solving multiplication and division problems, in which the quotient and divisor define the length and width of the rectangle

           

Given:

    ....60.....1.............

36|2160 | 36 | 17

2160 ÷ 36 = 60 R 0

36 ÷ 36 = 1 R 0

17  ÷ 36 =  0 R 17

Note:  (0 x 36) + 17 = 17

Therefore, the answer to be entered in the boxes is 17, 0 and 17 respectively

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A plumber has a 36-inch pipe that he has to cut into two
pieces so that one piece is 8 in. longer than the other. Find
the length of each piece.

Answers

A plumber has a 36-inch pipe that he needs to cut into two pieces, one 8 inches longer than the other. Each piece's length is x = 14, while the other piece's length is 22.

What is meant by length?The measurement or extent of something from end to end is defined as length. In other words, it is the larger of the two or the highest of three geometrical shapes or objects' dimensions. A rectangle, for example, has length and breadth dimensions.Centimeters, meters, kilometers, inches, feet, yards, and other standard units of length measurement are some examples.A segment's length or the dimensions of a room are examples of length measurements. Distance is the distance between two objects, such as two cities or two points. There will never be a negative value for length or distance.

Therefore,

let x = the first piece and x+14 is the second.

2x + 8 = 36

2x = 28

x = 14, the other piece is 22

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At a grocery store, three- dozen cookies costs $9.00. What would it cost for one cookie

Answers

It should be $3 right if you divide 9 into 3 you get the cost of each one

i need to find the diameter and the area of this equation[tex]A=\pi \frac{d}{2} x^{2}[/tex]

Answers

Answer:

Step-by-step explanation:

Which methods of paying for college do not require repayment? Check all that apply.

Answers

Grants/ scholarships
Because you earn the money for college it’s free money set for you to get into college

five sevenths raised to the negative first power times eighteen hundredths raised to the second power.

Answers

Answer: 0.04536

Step-by-step explanation:

Divide and answer in simplest form: 45 ÷ 2

Answers

Answer:22.5

Step-by-step explanation:

what is the probability that you will receive at most 30 winning tickets? (round to four decimal places.) 0.5484 what is the probability that you will receive more than 30 winning tickets? (round to four decimal places.) 1 what is the probability that you will receive fewer than 10 winning tickets? (round to four decimal places.) 0.2206 what is the probability that you will receive at least 10 winning tickets? (round to four decimal places.

Answers

Normal distributions are frequently employed in the natural and social sciences to describe real-valued regressors with uncertain distributions, normal distributions are essential to statistics.

The central limit theorem is one reason they are significant.

This claim argues that, in some circumstances, the average of many samples (observations) of a random variable with finite variance and mean is itself a random variable, whose distribution tends to become normal with an increase in sample size.

Because of this, distributions of physical quantities that are meant to be the culmination of multiple separate processes, such as error margins, frequently resemble normal distributions.

Only the normal distribution has additional cumulants after the first two that are zero. It is also the continuous distribution with the highest level of entropy for a given mean and variance.

Assuming that the mean and variance are finite, Geary has shown that the normal distribution is the only distribution in which the mean and variance calculated from a collection of independent drawings are independent of one another.

The normal distribution is a form of elliptical distribution. The normal distribution is symmetric about its mean and non-zero over the whole real line.

Consequently, it could not be an appropriate model for variables that are inherently positive or highly skewed, such as a person's weight or the value of a share.

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Find an equation, in slope-intercept form, that passes through point (-2, 2) with slope -2.

[A] y = -2x-2 [B] y = 2x-2

[C] y = 2x-4 [D] y = -2x-4

Answers

The equation of a line on a point (-2,2) is y = -2x-2. That option A is correct.

Here we have to find the equation of a line.

The given data:

Point = ( -2, 2)

Slope(m) = -2

Equation of a line:

y = mx + c

Now putting the values as

y = 2

x = -2

m = -2

We will get the y-intercept.

So we have:

2 = -2 × -2 + c

c = 2 - 4

  = -2

So, y = -2x -2

Therefore we get the equation of line as y = -2x -2.

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PLEASE HELP!! I NEED SOMEONE TO HELP ME!

Use distributive property to remove parenthesis.

-9( -3w + 3u - 4)

Answers

The answer is 27w - 27u +36 of the given -9( -3w + 3u - 4)

Given,

In the question:

Use distributive property to remove parenthesis.

-9(-3w + 3u - 4)

Now, According to the question:

First, we know:

What does parentheses mean distributive property?

The distributive property allows us to multiply all terms in a parentheses by a number outside of it. a(b +c) = ab + ac.

We have:

-9(-3w + 3u - 4)

Solve by Distributive Property :

-9(-3w + 3u - 4)

Open the bracket:

27w - 27u +36

Hence, The answer is 27w - 27u +36 of the given -9( -3w + 3u - 4)

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Please solve the following exponential equation
[tex] \frac{4}{2 {}^{x } } = 64 {}^{x} [/tex]

Answers

x = 2/7

see explanation in image

can someone help pls

Answers

there are 5 rooms that are holding 4-7 people. 1 that hold 20-23. your answer would be 4 more rooms

Answer:

4 hostel rooms

Step-by-step explanation:

okay so for this all you need to do is read the chart

go to 4-7 and read across to see how many hostel rooms have this many guests go to 20-23 and read across to see how many hostel rooms have this many guests

there are 5 rooms with 4-7 guests (because 5 is halfway between 4 and 6 on the chart)there is only 1 room with 20-23 guests (because 1 is halfway between 0 and 2)

work out the difference: 5-1 = 4

Find the highest common factor (HCF) of 72 and 90

Answers

Answer:

Step-by-step explanation:

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90

The six frequent factors between 72 and 90 are 1, 2, 3, 6, 9, and 18.

Consequently, 18 is the number that links 72 and 90 most frequently.

R is inversely proportional to A.
R = 12 when A = 1.5
a) Work out the value of R when A = 5.
b) Work out the value of A when R = 9

Answers

The value of R when A equal 5 is 3.6 and the value of A when R equal 9 is 2 as R is varies inversely to A.

What is the value of R when A equal 5 and value of A when R equal 9?

Proportional relationships are relationships between two variables where their ratios are equivalent.

If R is inversely proportional to A.

R ∝ 1/A, then

R = k/A

Where k is the proportionality constant.

Given that;

R = 12 A = 1.5Proportionality constant k = ?

First, we determine the proportionality constant.

R = k/A

Plug in R = 12 and A = 1.5 and solve for k

k = R × A

k = 12 × 1.5

k = 18

a) The value of R when A = 5 will be;

R = k/A

R = 18 / 5

R = 3.6

b) The value of A when R = 9

R = k/A
R × A = k

A = k/R

A = 18 / 9

A = 2

Therefore, the value of A when R equal 9 is 2.

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in how many ways can you put 8 distinguishable balls into 3 distinguishable boxes such that each box has at least one ball?

Answers

We can put 8 distinguishable balls into 3 distinguishable boxes such that each box has at least one ball in 21 ways.

Given, that there are 3 boxes and we have to put 8 balls in them such that no box is empty.

Let, a + b + c = 8, where a , b , c represent three different boxes.

The equation be reduced by allotting 1 ball to each box so that no box remains empty.

Hence, a + b + c = 5

Now, using the formula of "no. of ways in which 'n' objects can be grouped into 'r' groups" i.e. C(n+r-1 , r-1)

So, the required number of ways = C(5+3-1 , 3-1) = C(7 , 2)

Calculating, C(7 , 2) = (7×6)/2 = 21

Hence, we can put 8 distinguishable balls into 3 distinguishable boxes such that each box has at least one ball in 21 ways.

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A dam has a floodgate. When it is open, it lets out 10,000 gallons of water per minute.

How many gallons of water will it let out in 10 minutes?
A. 1,000
B. 10,000
C. 100,000
D. 1,000,000

Answers

Answer: C. 100,000 gallons

Step-by-step explanation:

10,000 gallons a minute.

10 minutes.

10,000 x 10 = 100,000.

Gallons:  10,000     20,000     30,000     40,000     50,000     60,000    

Minutes:       1               2               3                4               5                6              

... 70,000     80,000     90,000     100,000

...      7                8                9              10

a random variable is normally distributed with a mean of 25 and a standard deviation of 5. if an observation is randomly selected from the distribution, what value will 15% of the observations be below?

Answers

the 2 values X(19.8,30.2)  is value will 15% of the observations be below .

by hypothesis .

What is hypothesis ?

A hypothesis is an assertion, a notion put up for the purpose of debating and then examined to discover if it might be true. Prior to conducting any relevant research, other than a brief background review, the hypothesis is developed using the scientific method.

Here, Mean(\mu) and Standard Deviation (\sigma)= 5. You need to find the 2 values of which the smallest has 15% of the values below it i.e (Z<x)= 0.15 and the largest has 15% of the values above it i.e(Z>y)= 0.15.

Now we need to refer to the Z tables and see which value of x corresponds to 0.15, and we see that -1.04 is = 0.149 \sim 0.15

Now we know that the Z value is given by Z = X - μ/σ

Substituting we get

  -1.04= (X-25)/5

therefore -5.2= X-25 or X= 19.8

Now let us get the value of X for (Z>y)=0.15`. Since Z tables give values for Z<a only, hence we can write that

Z>y=0.15 is the same as Z<y= 1-0.15= 0.85. We now check the Z tables and see which value of Z corresponds to 0.85, and we get 0.850 = +1.04

Again, substituting Z in the equation Z = X - μ/σ

we get

+1.04= (X-25)/5

Therefore 5.2= X-25, therefore X= 30.2

From the 2 values X(19.8,30.2)

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the lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. a baby is premature if it is born three weeks early. what percent of babies are born prematurely?

Answers

8.08 percent of babies are born prematurely .

We have following information,

lengths of pregnancy of humans are Normally distributed.

mean of distribution ( μ ) = 268 days

standard deviations of distribution = 15 days

We shall find out the pecent of babies are born. prematurely.

Using the Normal distribution formula ,

Z = ( X - μ ) /σ

where X---> sample mean

μ --> poplution mean

putting the possble values of variables we get,

if a baby born three weaks early then he is considered as premature.

X = 21 , μ = 268 , r =

Z = ( 21-268)/ 15 = - 247/15 = - 16.4

Now, p-value corresponding to Z-value= -16.4 is

8.08..

thus for z= -16.4 , p-value will be 8.08 .. So, 8.08 percent of babies are born prematurely.

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Please answer <3
A line passes through the points (-5,10) and (0,-10). What is its equation in slope-intercept form?

y=__x+___

Answers

Answer:

The equation for the slope-intercept form is y = 4x - 10

Hope this helps!

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]   Equation = y = mx + b

The two points given are ( -5, 10 ) and ( 0, -10 ).

Putting in the values gives you [tex]\frac{-10-10}{0-(-5)} = \frac{-20}{5} =-4[/tex].

y = 4x + b, to find b, insert one of the points:

-10 = 4(0) + b    ->   -10 = 0 + b,    b = -10

Putting it all together gives you y = 4x - 10

how many positive integers less than 1000 a) are divisible by 7? b) are divisible by 7 but not by 11? c) are divisible by both 7 and 11? d) are divisible by either 7 or 11? e) are divisible by exactly one of 7 and 11? f ) are divisible by neither 7 nor 11? g) have distinct digits? h) have distinct digits and are even?

Answers

The set of positive integers less than 1000 that are:

a)Divisible by 7 are 142

b)Divisible by 7 but not by 11 are 130

c)Divisible by both 7 and 11 are 12

d)Divisible by either 7 or 11 are 220

e)Divisible by exactly one of 7 and 11 are 220

f)Divisible by neither 7 nor 11 are 780

g)Having distinct digits are 576

f)Having distinct digits and even are 337

What is a positive integer?

A whole number that is greater than zero is known as positive integer

a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.

Total terms: 994, divided by 7, plus (n-1)

There are 142 total terms below 1000 that are divisible by 7.

b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.

The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.

c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.

There are 12 total integers below 1000 that can be divided by 77.

d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.

The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.

Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.

e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.

f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.

Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),

=> Unique digits from 1 to 100 equal 90.

=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),

=> Unique digits from 101 to 200 are: 100 to 28, 72.

=> Unique numbers between 201 and 1000 = 72 x 8 = 576.

h)Different digits and even values equal to 337

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Write the equation of the line in fully simplified slope-intercept form.
go
9
876
8
5
10 %
4
321
-12-11-10-9-8-7-6-5-4-3-2-1
-1
-2
2 3 750 0
-3
-4
-5
-6
5999 2
-7
-8
-9
-11
-12
1 2 3 4 5 6 7 8 9 10 11 12

Answers

The equation of the line in fully simplified slope - intercept form is 5x + y = 8 .

In the question ,

a graph of the line is given , we need to find the equation of the given line in the simplified slope - intercept form .

to find the equation , we need minimum two points ,

So , from the graph

we can see that

when x [tex]=[/tex] 0 , the value of y [tex]=[/tex] 8 ,

the first point is (0 [tex],[/tex] 8) .

when x [tex]=[/tex] 2 , the value of y [tex]=[/tex] -2 ,

the second point is (2 [tex],[/tex] -2) .

the slope can be calculated by

slope = (-2-8)/(2-0)

= -10/2

= -5

So , the equation of the line passing through point (2,-2) with slope -5 , in the slope intercept form is

(y -(-2)) = -5(x-2)

y + 2 = -5x + 10

Simplifying further , we get

5x + y = 10 - 2

5x + y = 8

Therefore , The equation  line in fully simplified slope - intercept form is 5x + y = 8 .

The given question is incomplete , the complete question is

Write the equation of the line in fully simplified slope-intercept form, the line graph is shown below .

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The sum of thrice a number and 5 is greater than or equal to the sum of twice a number and 1. Write down the inequality and solve it..​

Answers

Answer:

May be helpful.

thx.......

during the course of the basketball season, shawna made 67 out of 100 free throws. when we say that her probability of making a free throw during the playoffs is 0.67, what type of probability are we starting?

Answers

The type of probability are we starting will be relative frequency probability or the empirical probability,

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Given that, Shawna made 67 out of 100 free throw attempts during the course of the basketball season. When we state that she has a 0.67 chance of making a free shot during the postseason,

The ratio of the number of times an event occurs to the total number of outcomes that occurred is known as relative frequency.

Thus, the type of probability are we starting will be relative frequency probability or the empirical probability,

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ana is making treat bags to give to her 10 students. she puts x number of gum and 4 pieces of candy in each bag. after she was done she had used a total of 60 pieces. how many pieces of candy did each bag get?

Answers

Each bag got 2 pieces of gums and 4 pieces of candies.

Given, that

Ana is making treat bags to give to her 10 students.

She puts x number of gum and 4 pieces of candy in each bag.

She had used a total of 60 pieces.

Now, as she puts 4 pieces of candy in each bag and she prepare total 10 bags.

So, She used total 4×10 = 40 candies

Now, if she used 60 pieces out of which 40 pieces are of candies

Then, 60 - 40 = 20 pieces

20 pieces will be of gums.

So, she puts total 20 pieces of gums in 10 bags

Hence, in each bag she puts 20/10 pieces of gums i.e. 2 pieces of gums

So, each bag got 2 pieces of gums 4 pieces of candies.

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22. A train travels 3 hours at 20km per
hour. How long will it take another
train to travel the same distance at
10km per hour?
(a) 6²/³ hours
(b) 6¹/2hours
(c) 6 hours
(d) 3 hours
(e) 2 hours
ans

Answers

6 hours will it take another train to travel the same distance .

What is speed?

Speed indicates the rate of movement of something or someone. If you know the distance traveled and the time it took, you may calculate an object's average speed. Speed is calculated as distance times speed.

Average speed = Total distance/Total time

   

A train travels 3 hours at 20km per hour.

 train travels 20 km in 1 hours.

      then in 3 hours train travels = 3 * 20 = 60 km

 total speed = 10 km/hr

          t = distance/speed

           = 60/10 = 6 hours

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I need help like asap !!!

only numbers and decimal points ​

Answers

Now we have to,

→ find the required value of c.

Formula we use,

→ (AC)² = (BC)² + (AB)²

Then the value of a will be,

→ c² = (8.1)² + (8.1)²

→ c² = 65.61 + 65.61

→ c² = 131.22

→ c = √131.22

→ [ c = 11.46 yd ]

Hence, value of c is 11.46 yd.

Please Help Me!
Find the value of x

Answers

The answer is 65 (D)


(2x-15)°+ x + (2x-15) + x =360°

x = 65

Answer: 65°

Step-by-step explanation:

You can determine the total degree within a shape by using the formula 180°(n-2), where n is the number of sides of the shape. Thus, the total degree within the parallelogram is 360°.

Angles sum up to the total degree, meaning we need to add up all the angles we see and set them equal to the total degree. We have two (2x-15) and two x's.  

2(2x-15) + 2x = 360

Distribute the 2 to (2x-15), you will get 4x - 30.

4x - 30 + 2x = 360

Add like terms, 4x + 2x to get 6x.

6x - 30 = 360

Add both sides by 30 to isolate the 6x, because we are trying to determine the value of x, we need to isolate the term.

6x = 390

Divide both sides by 6, and you are left with the value of x being 65°

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It would be nice if someone could help me thank you so much. y = 1,000x is that a constant proportionality a model airplane with mass 0.750 kg is tethered to the ground by a wire so that it flies in a horizontal circle 30.0 m in radius. the airplane engine provides a net thrust of 0.800 n perpendicular to the tethering wire. (a) find the torque the net thrust produces about the center of the circle. (b) find the angular acceleration of the airplane. (c) find the translational acceleration of the airplane tangent to its flight path. one of the major advantages of process-oriented layouts is: a) high equipment utilization. b) large work-in-process inventories. c) flexibility in equipment and labor assignment. d) smooth and continuous flow of work. e) small work-in-process inventories. Find m1 and m2. Tell which theorem can be used. Fill in the blank Plato's ideas of a utopia, but his philosophy influenced leaders for over two *m_l_e_n_a. election, howIn the 2016 presidentialmany fake news stories were createdand shared about Hillary Clinton onsocial media?A. 30 millionB. 8 millionC. 15 million after an emplovee was laid off. he was informed of the right to convert the group coverage to an individual policy within 31 davs twenty days into the conversion period, the employee suffered a heart attack and died before he could obtain individual coverage. what is the group policy insurer required to do? In are the risks of derivatives manageable?, thomas a. Bass posits that market failures were due in part to mismanagement of derivative investments. What does he recommend?. 4x7 = 2x + 15Does the equation have onenone, or infinite solutions?Explain why. In a company, 85% of the workers are women. If 675 people work for the company who aren't women, how many workers are there in all? Article: The lack of an industrial base hurt the South during the Civil WarThe Civil War (18611865) was fought between the Northern states of the Union and the Southern states of the Confederacy. It began after the Southern states rebelled and split off from the Union. The war had many causes, but the biggest was the issue of enslaving people. The South wanted to keep people enslaved, while the Northern states had stopped enslaving people years before. In the years before the war, big changes had been happening in the United States. An industrial revolution had begun that would eventually make the United States into one of the world's leading industrial powers. However, this transformation was almost completely limited to the Northern states. Much of the South was left far behind.-The North's Economy Centered Around Manufacturing-In 1860, the South was still mostly agricultural. It depended heavily on the sale of crops like cotton and tobacco. Enslaved people were used to grow and harvest these crops. By 1815, cotton was the most valuable export in the United States, which made some Southerners very wealthy. Yet the South did little to develop beyond an agriculture-based system. It had few factories, little advanced machinery and only about 29 percent of the nation's railroad tracks. The South also had just 13 percent of the nation's banks.By contrast, the North was industrializing quickly. By 1860, 90 percent of the nation's manufacturing output came from Northern states.The North also had a significantly larger population than the South did. During the 19th century, fully seven-eighths of foreign immigrants settled in the North. As a result, the population of the states that stayed in the Union was around 23 million, compared to a population of 9 million in the states of the Confederacy. The Union had 3.5 million males of military age 18 to 45. By comparison, the Confederacy had only 1 million. The Confederacy's limited industrial capacity and smaller population hurt it greatly during the war. The Union's advantages in factories, railroads and manpower put the Confederacy at a great disadvantage.-Other Industries Expanded In The North-In the North, the coming of war increased the pace of its industrialization. Even agriculture became far more productive. The mechanization of farming allowed farmers to produce much more in much less time. By 1860, for example, a threshing machine could thresh 12 times as much grain per hour as could six men. This mechanization became even more important as many farmers left home to fight in the Union military. Those remaining behind could continue to manage the farm through the use of labor-saving machinery.Northern transportation industries boomed during the conflict as well. This was particularly true of railroads. The North's larger number of tracks and ability to quickly expand rail lines gave it a big advantage over the South. Union forces often rode to battle on trains traveling on freshly lain tracks. By war's end, the Union had built the world's largest railroad system.Other Northern industries including weapons manufacturing also grew and improved as the war progressed. The same was not true in the South, which was never able to overcome its disadvantages.-The Confederate Army Was Overmatched-By 1864, the Confederate Army was in bad shape. Union forces led by General Ulysses S. Grant hammered away at Confederate General Robert E. Lee's increasingly desperate army. Grant took advantage of railroad lines and new, improved steamships to quickly move his soldiers. He had an apparently endless supply of troops and weapons. Grant used these resources to crush Lee's often ill-fed and and undermanned army.During the Atlanta Campaign, General William T. Sherman's Union troops caused huge damage to Georgia's factories and farms. His soldiers destroyed rail lines and bridges. They captured both the important city of Atlanta and the critical seaport of Savannah. An already weakened Confederacy simply could not take such huge losses and survive.In the end, the Confederacy simply did not have the ability to develop the kind of industrial productivity required to win a "modern" war. By contrast, the Union was able to speed up the industrialization that had already begun before the war. It thus had a powerful advantage that allowed it to win the war.Question: Write a short paragraph that explains the central idea of the article. Use at least two details from the article to support your response. two trains leave a station at the same time and travel in opposite directions. one train travels 20 kph faster than the other train. after 3 hours, they are 810 miles apart. what is the speed of each train? star-forming clouds appear dark in visible-light photos because the light of stars behind them is absorbed by dark matter thick hydrogen gas protostars interstellar dust How did politicians view business? (5 sentences please) What is the equation in standard form of the line that passes through the point (6,-1) and is perpendicular to the line represented by 8x + 3y=1