La escuela de Hannah organizó una
donación de libros. Hay 150 estudiantes
en su escuela, que donaron b libros en
total. Hanna donó 3 veces el promedio
de libros que donó cada estudiante

Answers

Answer 1

According to the information, Hannah donated b/50 books in total.

How  to calculate how many books did Hannah donate?

First, we need to find the average number of books donated by each student. We can do this by dividing the total number of books donated by the number of students:

average number of books per student = b / 150

Hannah donated 3 times this amount, so we can multiply the average by 3 to find how many books she donated:

Hannah's donation = 3 * (b / 150)

Simplifying this expression, we get:

Hannah's donation = b / 50

Therefore, Hannah donated b/50 books in total.

Note: This question is in Spanish. Here is the question in English:

Hannah's school organized a book donation. There are 150 students in her school who donated a total of b books. Hannah donated 3 times the average number of books donated by each student. How many books did Hannah donate?

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Related Questions

Helppp

The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after 1000 years?---------

Answers

Using the exponential decay equation, we can see that after 1000 years we will have  178.43 mg  of Ra₂₂₆

How much will remain after 1000 years?

The decay of a radioactive substance, such as Radium-226, can be modeled by the exponential decay equation:

N(t) = N₀ * (1/2)^(t / T)

where:

N(t) is the amount of the substance remaining after time t

N₀ is the initial amount of the substance

t is the time elapsed

T is the half-life of the substance

Given that the half-life of Radium-226 is 1590 years and the initial amount is 500 mg, we can plug in these values into the equation and solve for N(1000), which represents the amount remaining after 1000 years.

N(1000) = 500 * (1/2)^(1000 / 1590)

N(1000) ≈ 178.43 mg

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In AABC, AB=32, AC= 22, and BC= 20. What is mZA?
m (Do not round until the final answer. Then round to the nearest tenth as needed.)

Answers

The value of measure of ∠A would be,

⇒ ∠ A = 38.68 degree

We have to given that;

In triangle ABC,

AB=32, AC= 22, and BC= 20

Hence, We can formulate;

⇒ sin A = BC / AB

⇒ sin A = 20 / 32

⇒ sin A = 0.625

⇒ A = 38.68 degree

Thus, The value of measure of ∠A would be,

⇒ ∠ A = 38.68 degree

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Apply the sorted edges algorithm to the graph above. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDEA

Answers

The sorted edges algorithm was applied to the pentagon prism graph ABCDEA with edge weights given. The final path is starting and ending at vertex A is  A-B-C-D-A-E.

The sorted edges algorithm starts by sorting the edges in ascending order of their weights. Then, starting from vertex A, the algorithm chooses the next smallest edge that connects to an unvisited vertex until all vertices have been visited.

Sort edges in ascending order

AD = 4, EA = 6, BC = 2, BD = 9, AB = 7, CE = 11, DE = 8, CA = 14, BE = 15, CD = 13

Starting at vertex A, select the next smallest edge that connects to an unvisited vertex AB = 7. Move to vertex B and select the next smallest edge that connects to an unvisited vertex BC = 2. Move to vertex C and select the next smallest edge that connects to an unvisited vertex CD = 13

Move to vertex D and select the next smallest edge that connects to an unvisited vertex AD = 4. Move to vertex A and select the next smallest edge that connects to an unvisited vertex EA = 6. Move to vertex E and all vertices have been visited. The final path is A-B-C-D-A-E.

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HELP ASAP!! 15 POINTS!!

Answers

Based on the information, we can infer that the correct graph/table is option D.

How to identify the correct table/chart?

To identify the correct chart or table, we must identify the information about the data that Emily uses each year. She uses 360GB each year, in this case, to identify the relationship we must divide the amount of data she uses by the number of months she has in a year:

360GB / 12 months = 30 GB/month

In accordance with the above, we must identify the table or graph that represents this relationship. In this case it would be table D because it shows an increasing relationship of 1 month with 30gb, 2 months with 60gb, 3 months with 90gb, 4 months with 120gb, and so on.

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in the figure below, m JKM=106 degrees, m LKM=66, and KN bisects LKM. Find m JKN

Answers

The value of angle JKN is 73°.

Given that the m ∠JKM = 106 degrees, m ∠LKM = 66, and KN bisects LKM.

So we need to find the value of ∠JKN,

So, using the angles addition postulate,

∠LKM = ∠LKN + ∠MKN

Therefore,

∠LKN = 66/2 [definition of bisector]

∠LKN = 33°

Again, using the angles addition postulate,

∠JKM = ∠JKL + ∠LKM

∠JKL = 106 - 66

∠JKL = 40°

Therefore,

∠JKN = ∠JKL + ∠LKN

∠JKN = 40 + 33

∠JKN = 73°

Hence, the value of angle JKN is 73°.

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(x+3) (x-1)squared
????

Answers

Answer:

x^3 + x^2 - 5x + 3

The percent of US citizens that use the internet on a daily basis is shown on the graph, where the year 2000 corresponds to x=0. Use the concepts of y-intercept and slope of the line to find the equation that best models the given data. Answer in slope intercept form.

Answers

An equation of the linear function represented by the graph in slope-intercept form is y = 3x + 60.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (75 - 60)/(5 - 0)

Slope (m) = 15/5

Slope (m) = 3

At data point (0, 60) and a slope of 3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 60 = 3(x - 0)  

y = 3x + 60

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Find the graphed inequality below

Answers

The inequality represent the given graph is y≤1.4x+2.5.

From the graph, the line passes through (0, 2.5) and (3.5, 0).

Here, slope (m) = (3.5-0)/(2.5-0)

= 3.5/2.5

= 1.4

Substitute m=1.4 and (x, y)=(0, 2.5) in y=mx+c, we get

2.5=1.4(0)+c

c=2.5

So, the equation of a line is y=1.4x+2.5

So, the inequality is y≤1.4x+2.5

Therefore, the inequality represent the given graph is y≤1.4x+2.5.

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please help with these questions it's due tommore​

Answers

7:

To find 6% of 45.50=

0.06x45.50= 2.73

and than 17% of 45.50

0.17x45.50= 7.735

so add 2.73 and 7.735= 10.465

than add 10.465 to $45.50 = $55.965 So the answer is $55.965.

8:

again the same thing but with the different numbers.

0.06x105.75= 6.345

0.20x105.75= 21.15

21.15+6.345= 27.495

so than 105.75-27.495= $78.255

9:

same thing again

146.75x0.25= 36.6875

0.09x146.75= 13.2075

But this time add the tax (13.2075)= 146.75+13.2075= 159.9575

but than you subtract the discount which is 25% so 159.9575-36.6875=123.7

So that is the price! $123.7

I hope that helps!

Choose one of the topics below for your paragraph.
1. Write a paragraph about a trend that interests you and why it is popular. Give sentences
(Paragraph)
● For example, consider a trend in cars, food, or technology. Give sentences (Paragraph)
2. Write a paragraph about a popular TV program. Give sentences (Paragraph)
Who usually watches the program? Give sentences (Paragraph)
Why is it popular? Give sentences (Paragraph)

Answers

Answer:

1. A trend that gives me interest is the 1, 2 buckle my shoes 3, 4 buckle some more- The reason is why does it even exist and why did it get so popular is such a fast amount of time, and the way people get distracted on technology which we are using all over the world and it takes us away from the real world and makes us stay there.

2. Cocaine Bear it looks good and funny, I watched it with all my friends and they all enjoyed it with me.

Step-by-step explanation:

thickness of piece of metal in m. 0.00053

Answers

The thickness of the said metal piece is 560 micrometers

How to solve

Solving this question would require us to switch the thickness of the metal from meters to micrometers.

So, 1 meter is equivalent to 1,000,000 micrometers; and when 0.00053 meters is multiplied by 1,000,000, we get:

0.00053 m * 1,000,000 = 560 µm

Consequently, the thickness of the said metal piece is 560 micrometers.

A metal piece's thickness is defined as the distance, measured perpendicular to its opposing surfaces, between those surfaces. It is a crucial aspect in determining the strength and longevity of the metal object and is often stated in length measures like millimeters, inches, or micrometers.

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What is the thickness of the metal piece in micrometers, given that it is 0.00053 meters thick?

what are the answers to these questions?

Answers

a) The function of h in terms of r is h=1400/(πr²).

b) The surface area of the can in terms of r is 2800/r+2πr².

c) The corresponding values of r and h that minimize the amount of required material are r≈14.04 cm and h≈2.98 cm.

a) The volume of a cylinder is given by

V = πr²h.

In this case, the volume of the can is

1400 cm³

So we have

1400 = πr²h.

Solving for h, we get

h = 1400/(πr²).

b) The surface area of a cylinder is given by

A = 2πrh+2πr².

Using the expression we obtained for h in part (a), we can substitute it in the equation and get

A = 2πr(1400/(πr²))+2πr²

= 2800/r+2πr².

c) To minimize the amount of required material, we need to find the value of r that minimizes the surface area.
To do this, we take the derivative of the surface area expression with respect to r and set it equal to zero:

dA/dr = -2800/r²+4πr = 0.

Solving for r, we get

r = √(700/π), which is approximately 14.04 cm.

Substituting this value in the expression for h that we obtained in part (a), we get

h = 1400/(π(14.04)²), which is approximately 2.98 cm.

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Hey I was wondering if anyone can help me solve this and maybe graph it to.
The line described by y = 3/4x+5 is tangent to a circle at the point (0, 5). The line described by 3x + 4y = 38 is tangent to the same circle at the point (6, 5). Find the equation of the circle.

Answers

The equation of the circle is determined as (x + 3)²  + (y - 9)² = 25.

What is the equation of the circle?

The equation of the circle is calculated as follows;

For the equation;

y = 3/4x+5

Slope = 3/4,  the slope of the line perpendicular to the line = -4/3.

it is pass through the (0, 5).

The equation of the line: y - 5 = -4x/3

For the equation;

3x + 4y = 38

4y = -3x + 38

y = -3x/4 + 38

slope = -3/4, the slope of the line perpendicular to the line = 4/3

it is pass through the (6, 5)

The equation of the line: y - 5 = 4/3(x - 6)

Solve the two equations together to find the point of intersection;

(-4/3)x + 5 = (4/3)(x - 6) + 5

-4x/3 = 4x/3 - 8

8x/3 = -8

8x = -24

x = -3

y - 5 = -4x/3

y - 5 = -4(-3)/3

y - 5 = 4

y = 9

The center of the circle = (-3, 9)

The radius of the circle is calculated as;

r = √ (-3 -0)² + (9 - 5)²

r = √(9 + 16)

r = 5

The equation of the circle becomes;

(x - a )² + (y - b)² = r²

(x + 3)²  + (y - 9)² = 5²

(x + 3)²  + (y - 9)² = 25

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What is the product? -4x [8 -1 -5 g]

Answers

The resulting matrix after the product is given as follows:

[-32 4 20].

What happens when a matrix is multiplied by a constant?

When a matrix is multiplied by a constant, we have that every element in the matrix is multiplied by the constant. Hence, the dimension of the matrix remains constant.

The parameters for this problem are given as follows:

Constant of -4.Matrix [8 -1 -5].

Hence the products are:

-4 x 8 = -32.-4 x -1 = 4.-4 x -5 = 20.

Then the resulting matrix after the product is given as follows:

[-32 4 20].

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On Saturday, the temperature was 75.5°F. The temperature rose by 6°F on Sunday, then dropped by 3.5°F on Monday. What was the temperature, in degrees Fahrenheit, on Monday?

Answers

Answer:

78°F

Step-by-step explanation:

If the temperature was 75.5°F, and it rose by 6°F on Sunday, then the temperature on Sunday was:

75.5°F + 6°F = 81.5°F

If the temperature on Sunday was 81.5°F, and it dropped by 3.5°F on Monday, then the temperature on Monday was:

81.5°F - 3.5°F = 78°F

Therefore, the temperature on Monday was 78°F.



8) If Bonnie can waterproof 450 square foot of decking with 2 gallons of sealant, she will need 6 gallons (10pts)
of sealant for 1200 square foot of decking.
True
O False

Answers

Answer:

FALSSOO

Step-by-step explanation:

lol srry I pretty sure its false I did teh math

Hope its right and it helps! c:

Which expression is not equivalent to 2/3×4

Answers

The only expression that is not equivalent to the given fraction expression is: D (2 x 1/3) + (4 x 1/3)

How to multiply fractions?

The correct procedure that we will use to multiply fractions is:

- find a common denominator

- multiply the numerators

- multiply the denominators

- Simplify if necessary.

- Add the numerators and add the denominators

Looking at the options and comparing with the given fraction multiplication problem 2/3 * 4, we see that only option D is not equivalent to it because:

(2 x 1/3) + (4 x 1/3) = 6/3 = 2

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Complete question is:

Which expression is NOT equivalent to 2/3 x 4

A (2x4) /3

B 1/3 x (2x4)

C (4 x 1/3) x 2

D (2 x 1/3) + (4 x 1/3)


What’s the correct answer for problem 16???

Answers

The values of x and y of the given transverse lines are:

x = 44.25° and y = 7.25°

How to find the missing angle on the line?

We know that there are different classification of angles such as:

Corresponding angles

Alternate angles

Opposite angles

Supplementary angles

Complementary angles

Now, we also know that sum of angles on a straight line is 180 degrees. Thus:

5x - 9y - 16 = 140

5x - 9y = 156   -----(1)

We also know that alternate angles are defined as two angles, that are formed when a line crosses two other lines, that lie on opposite sides of the transversal line and on the opposite relative sides of the other lines. If the two lines crossed are parallel, then the alternate angles are equal.

Thus:

3x + y = 5x - 9y - 16

2x - 10y - 16 = 0

2x - 10y = 16  ----(2)

Solving simultaneously gives us:

x = 44.25° and y = 7.25°

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PLEASE HURRY

Let u = - 4i + 2j , v = 3i - j and w = - 6j

Find the specified scalar or vector

5u(3v - 4w)

Answers

The specified scalar or vector 5u(3v - 4w) is equal to -420i + 250j.

We can begin by distributing the scalar 5 to the vector 3v - 4w:

5u(3v - 4w) = 5u(3v) - 5u(4w)

Next, we can find the scalar multiples:

5u(3v) = 5(-4i + 2j)(3(3i - j)) = 5(-36i + 10j)

5u(4w) = 5(-4i + 2j)(4(-6j)) = 5(48i - 40j)

Now we can substitute these values back into the original expression:

5u(3v - 4w) = 5(-36i + 10j) - 5(48i - 40j)

Simplifying:

5u(3v - 4w) = -420i + 250j

Therefore, 5u(3v - 4w) = -420i + 250j.

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f(x)=x^3-3x^2+2x+2. find f(-x).

Answers

Answer:Therefore, f(-x) = -x^3 - 3x^2 - 2x + 2.

Step-by-step explanation:o find f(-x), we replace every instance of x in the function f(x) with -x:

f(-x) = (-x)^3 - 3(-x)^2 + 2(-x) + 2

Simplifying, we get:

f(-x) = -x^3 - 3x^2 - 2x + 2

Can anybody help me quick 21 points

Answers

Let the number of apartments be x. We know that the cost of the digits is $1 each, and that the total cost of the digits is $282. Therefore, we can set up the following equation:

1x + 1(x+1) + 1(x+2) + ... + 1(x+(n-1)) = 282

Simplifying this equation, we get:

nx + n(n-1)/2 = 282

We can solve for n using the quadratic formula:

n = (-1 ± sqrt(1 + 4(2*282)))/2

n = 21.06 or n = -20.06

Since the number of apartments must be a positive integer, we can round up to the nearest integer, giving us n = 22. Therefore, Tabitha will be numbering 22 apartments.

Extra: On Monday, the store sells 1s for half price, or $0.50. This means that the total cost of the digits would be:

1x + 0.5(x+1) + 0.5(x+2) + ... + 0.5(x+(n-1)) = 141

Simplifying this equation, we get:

nx + n(n-1)/4 = 141

Using the quadratic formula again, we get:

n = (-1 ± sqrt(1 + 4(4*141)))/2

n = 16.76 or n = -15.76

Rounding up to the nearest integer, we get n = 17. Therefore, if Tabitha had bought the digits on Monday, she could have saved 5 digits, or $5.

What is the domain of g(x)=log(7x−10)?

Answers

The domain of g(x) = log (7x - 10) is all real numbers greater than 10/7.

Set-builder notation: x > 10/7. Interval notation: (10/7,∞)

What is the domain of the function?

Given the function in the question:

g(x) = log( 7x - 10 )

For the function g(x) = log (7x - 10), the domain consists of all the possible values of x that can be plugged into the function without resulting in an undefined expression.

Here, the logarithm (in this case, (7x - 10) must be greater than zero, since the logarithm of zero or a negative number is undefined in the real numbers.

So we set the argument of the logarithm to be greater than zero, and solve for x:

7x - 10 > 0

Solve for x

7x - 10 + 10 > 0 + 10

7x > 10

Dividing both sides by 7:

7x/7 > 10/7

x > 10/7

Therefore, the domain of g(x) = log (7x - 10) is x > 10/7

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-2√48 simplified is:
-8√3.
-4√3.
No solution.
None of these choices are correct.

Answers

Answer:

-8√3

Step-by-step explanation:

[tex] - 2 \sqrt{48} \\ = - 2 \sqrt{16 \times 3} \\ = - 2 \sqrt{16} \times \sqrt{3} \\ = - 2 \times 4\sqrt{3} \\ = - 8 \sqrt{3} [/tex]

if an avocado is 1$ per pound how many is it for 9 pounds?

Answers

If an avocado costs $1 per pound, the cost of 9 pounds, using multiplication, is $9.

What is multiplication?

Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.

Multiplication involves the multiplicand, the multiplier, and the product.

The cost per pound of an avocado = $1

The total quantity considered = 9 pounds

Proportionately, the total cost of 9 pounds = $9 ($1 x 9)

Thus, based on multiplication operation, the total cost of 9 pounds is $9.00.

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Find the length of the missing side

Answers

Answer:

x = 45°

Because there are 180° in a triangle

the coordinate (-1,0) (1,0) and (0,1) form the vertices of a square true or false

Answers

Since the line splits the square into two regions with equal area, it goes through center of square.

Equation of line through point (12,12)

with slope 5

y−12=5(x−12)

y=5x−2

y-intercept=(0,−2)

Since line passes through points (0.4,0)

and (0.6,1)

it divides both the bottom and top of squares in the same ratio, to that the line divides the square into 2

trapezoids with height =1

and bases =0.4

and 0.6

. Therefore, they have the same area.

Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answers

Answer:

9ft

Step-by-step explanation:

From the left side, you know one length is 4ft abd the one below is 5ft, when you add them together its the answer of 9ft, which is the missing side.

it's 9ft

its 9ft because when you add 4 +5 you get 9. two rectangles a present in the diagram. the 4ft and 5ft are apart of the rectangle where the missing side is, adding those two together would give you 9 and in a rectangle sides facing each other are epual therefore the missing side is 9

you are melting a rectangular block of wax to make candles. how many candles of the given shape can be made using a block that measures 10 cm by 9cm by 20 cm

Answers

The rectangular block of wax can make approximately 2 candles.

How do we determine the number of candles that could be made by that block of wax?

To calculate the number of candles, we use the formula

V of wax = l x w x h = 10 cm x 9 cm x 20 cm = 1800 cubic cm

V of candle = l x w x h = 9 cm x 9 cm x 12 cm = 972 cubic cm

1800 / 972 = 1.85

The above answer is based on the full question below;

you are melting a rectangular block of wax to make candles. how many candles of the given shape can be made using a block that measures 10 cm by 9cm by 20 cm.

The height of the candle is 12cm and the base width is 9cm

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Which statement is true about the system x - 3y = 5 and y = x - 7?
• (8, 1) is a solution to one equation but not the other one, so it is a solution to the system.
• (8, 1) is not a solution to either equation, so it is not a solution to the system.
• (8, 1) is a solution to one equation but not the other one, so it is not a solution to the system.
• (8, 1) is a solution to both equations, so it is a solution to the system.

Answers

The solution to the given equation is ( 8 , 1 )

Given data ,

To determine whether (8, 1) is a solution to the system, we need to check whether it satisfies both equations:

x - 3y = 5: 8 - 3(1) = 5, which is true

y = x - 7: 1 = 8 - 7, which is true

Since (8, 1) satisfies both equations, it is a solution to the system. Therefore, the correct answer is:

Hence , (8, 1) is a solution to both equations, so it is a solution to the system

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Is c = 3 a solution to the inequality below?
122 c
yes
no

Answers

The value c = 3 is not a solution to the inequality

Checking if c = 3 is a solution to the inequality

From the question, we have the following parameters that can be used in our computation:

122 c

Express properly

So, we have

1 ≥ c

When this inequality is rewriiten. we have

c ≤ 1

This means that the values of c do not exceed 1

The number 3 exceeds 1

So, it means that c = 3 is not a solution to the inequality

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what is spiritualisim? Production data for Joe's Pizza Parlor are as follows. For simplicity assume that labor is the only input. Each pizza sells for $5. Number of Workers Pizzas Baked Per Day 0 0 1 10 2 19 3 27 4 34 5 40 How many workers will Joe hire if he must pay each one $18 a day? How might the principles of coding and the structure of programming languages be useful in other fields of study, like physics, chemistry, the arts, the social sciences, etc.? Suppose a message is 10 characters long. Each character can be any of the 26 characters in the alphabet and also any character 0 through 9. How many different ten character long sequences exist? Justify your reasoning. 9. define a relation r on the integers, m, n z, mean if m n is even. is r a partial order relation? prove or give counterexample. Select the correct answer from each drop-down menu. f(x) = x2 8x + 15 g(x) = x 3 h(x) = f(x) g(x) h(x) = . The domain of h(x) is U . NEED HELP ASAP!!! 15 POINTSPoison ivy is a weed that synthesizes an oil, urushiol, that causes skin rashes. Researchers have found that if poison ivy grows in an environment that contains an increased concentration of carbon dioxide, the plants grow larger, faster, and produce more urushiol. To test this idea, researchers create an experiment where different experimental groups of poison ivy are exposed to different concentrations of carbon dioxide to determine how tall they will grow. Identify two conditions that should be kept the same for control and experimental groups. Need help matching pairs of structures to diastereomers, enantiomers, constitutional isomers, not isomers, diff representations of the same? A precision lathe costs $16,000 and will cost $26,000 a year to operate and maintain. If the discount rate is 10% and the lathe will last for 4 years, what is the equivalent annual cost of the tool? Firm ABC has debt with a face value of $40m (which could be considered to be the exercise price on call and put options on the firm). The standard deviation of assets is = 0. 2. The risk-free rate is currently 4. 5% and a time to expiration of 30 years is sufficiently long to use for option valuation. The market value of the firm is $80m. a. Find the market value of debt and equity using the Black-Scholes Option Pricing Model. b. If the firm decides to increase the volatility of its assets to =. 3 by investing in riskier assets, what will happen to the market values of debt and equity? Find the new values. c. Briefly explain the conflict between shareholders and bondholders for a firm. d. Is this approach consistent with the roles of financial markets? 145 student are in the auditorium. Of the students in the auditorium, about 86% of the students play a sport. About 45% of the students are in the school play. How many students play a sport? How many students are in the play? Round your answer to the nearest whole Tabulate two difference between growth in plants and that of animals Question 13Which liberty limiting principle has been most fittingly applied to the issue of hate speech (even if youdisagree)?Legal PaternalismLegal MoralismThe Harm PrincipleThe Offense Principle "The Second World War would not have occurred if the League of Nations had enacted its objectives". Prepare an analytical article on the basis of its establishing objectives. _____is a sequence of a chain of amino acids How To Keep Your Server Rack Cool And Its Benefits? Hey, Can somebody help me with my Spanish Homework? Ones natural predisposition to think and act in a certain way is ones __________. a. learned habit b. self-esteem c. antisocial behavior d. temperament Gabby took 8 vocabulary quizzes. Her scores were:7 points 7 points 7 points 5 points 5 points 7 points 4 points 6 pointsWhat was the mode of Gabby's quiz scores? explain why the wealthy industrialists of the gilded age are sometimes referred to as robber barons, and other times referred to as captains of industry