is 160,80,40,20 a arithmetic sequence or a geometric sequence or neither

Answers

Answer 1

The given sequence160,80,40,20 is the geometric sequence.

In an Arithmetic sequence, the difference between the two consecutive terms is equal.

In a Geometric sequence, the common ratio of the two consecutive terms is equal.

The given sequence is 160, 80, 40, 20

Now,

[tex]T_{1} = 160\\T_{2} = 80\\T_{3} = 40\\T_{4} =20[/tex]

Subtracting the consecutive terms to calculate the common difference,

[tex]d = T_{2} -T_{1} = 80 -160 = -80[/tex]

[tex]T_{3} -T_{4} = 40 -80 = -40[/tex]

So, [tex]T_{2} -T_{1} \neq T_{3} -T_{4}[/tex]

So, the given sequence is not an arithmetic sequence.

Now, Calculating the common ratios,

[tex]r = \frac{T_{2} }{T_{1} } = \frac{80}{160} = \frac{1}{2}[/tex]

and, [tex]r =\frac{T_{3} }{T_{2} } = \frac{40}{80} = \frac{1}{2}[/tex]

Hence, the ratio is the same for consecutive terms.

So, the given sequence is the geometric sequence.

To read more about the geometric sequence, visit https://brainly.com/question/4853032

#SPJ1


Related Questions

Texas Roadhouse Corporate has decided to increase the price of
fried pickles by 15%. What will be the new price of the pickles?
The pickles are $3.99

Answers

Answer: The pickles are $3.99

Step-by-step explanation:For percents,this is always done by simply dividing the percent (in this case 15%) by 100%. So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number. 0.15 x $152.00=$3.99

Evaluate the expression 23.5 − 6.8x when x = 3.

Answers

Answer:

3.1

Step-by-step explanation:

23.5-6.8x

x=3

first put 3 in for x

23.5-6.8(3)

now solve the expression

23.5-20.4

3.1

Value=x-y=3 questions is y-x

Answers

The value of (y-x) when (x-y) = 3 is -3.

According to the question,

We have the following equation:

x-y = 3

Now, we have to find the value of (y-x). We can easily do this by multiplying both sides of this equation by -1.

We know that the multiplication of two negative integers always gives us the positive results and the multiplication of one negative and one positive integer give us the negative results.

So, we will have the following expression:

-x+y = -3

It can rewritten as follows:

y-x = -3

Hence, the value of (y-x) when (x-y) = 3 is -3.

To know more about value here

https://brainly.com/question/20049411

#SPJ9

What can be concluded about line that passes through the points (1,-2) and (4,-2)? Check all that apply.
The slope is 0.
The y-intercept is -2.
The line is vertical.
O The line is horizontal.
The line has no y-intercept.
The equation of the line is Y--2

Answers

All that apply are:

The slope is 0.

The y-intercept is -2

The line is horizontal.

The equation of the line is Y = -2.

Given points:

(1,-2) and (4,-2)

slope m = -2-(-2) / 4 - 1

= -2+2/3

= 0

so slope is 0

y = mx + c

(1,-2) passes

-2 = 0*1 + c

c = -2

y = 0*x + -2

y = -2

so the line is horizontal and equation of the line is y = -2.

The y-intercept is -2.

Learn more about the equation here:

https://brainly.com/question/10413253

#SPJ1

You move left 1 unit and right 8 units. You end at (5, 5). Where did you start?

Answers

The coordinates of the starting point is  (12, 5)

What are ordered pairs?

Ordered pairs refers to the arrangement of 2 numbers in the form (a, b)

The rule to move ordered pair one unit left 1 will be subtracted in the x coordinates

(5, 5) → one unit left → ( 5 - 1, 5 ) = (4, 5)

The rule to move ordered pair 8 units left, 8 will be added in the x coordinates

(4, 5) → one unit left → ( 4 + 8, 5 ) = (12, 5)

Learn more about ordered pairs here:

https://brainly.com/question/29232584

#SPJ1

Find the equation of a parabola with a focus at (–2,–3) and a directrix at y = –5.

A)

y = 1∕4(x + 2)2 – 4

B)

y = –1∕16(x + 2)2 – 4

C)

y = 1∕4(x – 2)2 – 4

D)

y = 1∕4(x + 2)2 – 8

Answers

The vertex form of Parabola is y= 1/4(x + 2)² -4 .

What is Vertex form of Equation?

The general equation of a parabola is given by y = a(x – h)² + k or

x = a(y – k)² +h. Here (h, k) is vertex.

Given:

focus at (–2,–3) and a directrix at y = –5.

We know, the standard form is (x - h)² = 4p (y - k),

where the focus is (h, k + p) and the directrix is y = k - p

So, (h, k + p) = (-2, -3)

h = -2, k + p = -3

Directrix is y = k - p:

k - p = -5

k + p = -3

so, 2k = -8

k = -4

and, p = -3+ 4 = 1

Thus, the vertex is at (-2, -4) and p = 1, the equation is:

(x + 2)² = 4(y+  4)

1/4(x + 2)² =  y+4

y= 1/4(x + 2)² -4

Learn more about Vertex form of Parabola here:

https://brainly.com/question/1504592

#SPJ1

Make x the subject of m=n+x/p

Answers

The value of x is x=p(m-n).

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Given expression: m=n+(x/p)

To find: Make x the subject.

To make x the subject we have to separate the x to one side.

Expression m=n+(x/p)

Take n to another side,

(x/p)=m-n

Cross multiply,

x=p(m-n)

Therefore, the value of x is x=p(m-n).

To learn more about the solution of an equation from the given link

https://brainly.com/question/22688504

#SPJ1

Graph the equation below
Y=1/3x-1

Answers

Answer:

Step-by-step explanation:

50 POINTS!!


One Thursday night, Joel the delivery boy earned $43 in tips plus his usual $12/hr. He made $85. Write an equation for this situation.

Answers

Answer:

Step-by-step explanation:

This is a simple linear equation.

Y=12x + 43

The 12x represents the money he makes hourly, as x represents each hour he works

+43 represents the amount of money in tips he made since this was added on top of the hourly pay he was making.

Answer:

your welcome

Step-by-step explanation:

42+43=85$

to get the 42 you have to do 83-43 and that leaves you with 42

Write the equation of a line in
y = mx + b form that passes
through (5,-5) and (-5, -3)

Answers

The equation of a line in y = mx + b form that passes through (5,-5) and (-5, -3) is y = (-1/5)x - 4.

The formula to calculate the slope between two points is equal to

[tex]m = y2-y1/(x2-x1)[/tex]

Find the slope of Line a

We have the points

(5,-5) and (-5, -3)

Substituting the value in the formula

[tex]m = -3 - (-5)/(-5-5)\\m = (-3 + 5)/(-10)\\m = 2/-10\\m = -1/5[/tex]

The slope is -1/5.

Finding the y-intercept from the below-given equation:

y = mx + b ...... (1)

Putting value of y = - 5, x = 5, m = -1/5

-5  = (-1/5) x (5) + b

-5 = - 1 + b

=> b = - 4

Putting the value of b = - 4 and m = -1/5 in equation (1). We get,

y = (-1/5)x - 4

Hence, the equation of the line is y = (-1/5)x - 4.

To learn more about the line visit: https://brainly.com/question/19448440

#SPJ1


A parallelogram has been found to have diagonals which are NOT congruent and slopes which are negative reciprocals.
What kind of quadrilateral is it?

Answers

It is a rhombus kind of quadrilateral.

What is quadrilateral?

A quadrilateral has four sides, is two-dimensional (flat), closed (the lines join up), and has straight sides.

A rhombus is a four-sided quadrilateral with all of the features of a parallelogram.

A rhombus has three more characteristics: consecutive sides that are congruent; diagonals that bisect pairs of opposite angles; and diagonals that are perpendicular to one another.

Moving clockwise, beginning at point A in the top left corner of a hypothetical rhombus ABCD, you can see that side AB is congruent to side BC and side CD is congruent to side DA.

Additionally, you can see that diagonals AC and DB are perpendicular to one another and that the rhombus' diagonals split pairs of opposing angles.

Hence, It is a rhombus kind of quadrilateral.

To learn more about the quadrilateral visit,

https://brainly.com/question/23935806

#SPJ1

A doctor prescribes 100 milligrams of a therapeutic drug that decays by about 15% each hour. To the nearest hour, what is the half-life of the drug?

Answers

The drug administered to the patient by the doctor has a half-life of 5 hours

Half-Life

Half-life is the time required for a quantity to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential decay.

The formula is given as;

T1/2 = ln2 / λ

Where;

λ = disintegration constant.

But λ = 15% = 0.15/hr

t1/2 = ln2 / 0.15

T1/2 = 0.693/0.15

T1/2 = 4.62 = 5 hours.

The drug has an half-life of approximately 5 hours

Learn more on half-life here;

https://brainly.com/question/10525285

#SPJ1

The cellular phone service for a business executive is $35 per month plus $0.40 per minute of phone use over 900 min. For a month in which the executive's cellular phone bill was $87.80, how many minutes did the executive use the phone?

Answers

The number of minutes that the executive use the phone is 131 minutes.

How to calculate the number of minutes?

From the information, the cellular phone service for a business executive is $35 per month plus $0.40 per minute of phone use.

Let the number of minutes be m.

This will be illustrated as:

35 + 0.40m = 87.80

Collect like terms

0.40m = 87.80 - 35

0.40m = 52.80

Divide

m = 52.40 / 0.40

m = 131

The number of minute is 131 minutes.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Solve for x. Round to the nearest tenth, if necessary.

Answers

Value of x rounded to nearest tenth is 25.5 units.

Given in question,

Right angled triangle CDE

θ = 20°

CD = perpendicular = 24 units

CE = Hypotenuse = x

Therefore,

cosθ = Perpendicular/Hypotenuse

cos 20 = 24/x

0.9397 = 24/x

         x = 24/0.9397

            = 25.54

Hence, value of x rounded to nearest tenth is 25.5 units.

To learn more about rounded to nearest here:

https://brainly.com/question/1285194

#SPJ1

An ostrich farmer wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the
rectangle (see the figure below). There are 700 feet of fencing available to complete the job. What is the largest possible total
area of the three pens?

Answers

The largest possible total area of the three pens is 15312.5sq.units.

What is a rectangular area?

The quantity of space occupied by a flat surface with a specific shape is referred to as the area.

Area of a Rectangle = (Length × Breadth) square units.

Here,

We let x be the length and y be the breadth of a rectangle area.

Given equation : 2y + 4x = 700

y + 2x  = 350

y = 350 - 2x .......(1)

Area of rectangular field (A)= xy

A = x(350 - 2x)

A = 350x - 2x²

Differentiating w.r.t x we get,

A' = 350 - 4x

Again, differentiating w.r.t x we get,

A" = -4

Let A' = 0

350 - 4x = 0

4x = 350

x = 87.5

A is maximum at 87.5feets.

Hence, the largest possible total area of the three pens = XY = 87.5×175 = 15312.5 sq. units.

To learn more about the rectangular area from the given link

https://brainly.com/question/25292087

#SPJ4

the line segment from (0,0) to (6,18) is revolved about the x-axis to form a cone. what is the volume of this cone?

Answers

Answer:

Step-by-step explanation:

do you happen to know the formula for finding the area of a cone?

V=π*[tex]r^{2}[/tex]*h/3

does that formula look familiar?

we know the radius ,  r,  is 18 and the height, h is 6  :)  can you figure this out now?   just plug those into the formula above  :)

A solve the first question

Answers

Answer:

A or C

Step-by-step explanation:

Limit x approaches 0 (tan^2x-sin) divide by x4

Answers

[tex]\displaystyle \lim_{\theta \to 0}\cfrac{\tan^2(\theta )-\sin(\theta )}{\theta 4}\implies \stackrel{\textit{\Large L'Hopital's rule}}{\lim_{\theta \to 0}\cfrac{\frac{d}{d\theta }[\tan^2(\theta )-\sin(\theta )]}{\frac{d}{d\theta }[\theta 4]}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{d}{d\theta }[\tan^2(\theta )-\sin(\theta )]\implies \cfrac{d}{d\theta }[[\tan(\theta )]^2-\sin(\theta )]\implies \stackrel{chain~rule}{2\tan(\theta )\cdot \sec^2(\theta )} ~~ -\cos(\theta ) \\\\\\ 2\tan(\theta )\cdot \cfrac{1}{\cos^2(\theta )}-\cos(\theta )\implies \cfrac{~~ \frac{2\sin(\theta) }{\cos(\theta) } ~~}{\cos^2(\theta )}~~ -\cos(\theta ) \\\\\\ \cfrac{2\sin(\theta) }{\cos^3(\theta) }~~ -\cos(\theta )\implies \cfrac{2\sin(\theta)-\cos^4(\theta)}{\cos^3(\theta)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{d}{d\theta}[4\theta]\implies 4 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\displaystyle \lim_{\theta \to 0}\cfrac{\tan^2(\theta )-\sin(\theta )}{\theta 4}\implies \lim_{\theta \to 0}\cfrac{ ~~ \frac{2\sin(\theta)-\cos^4(\theta)}{\cos^3(\theta)} ~~ }{4}\implies \lim_{\theta \to 0}\cfrac{2\sin(\theta)-\cos^4(\theta)}{4\cos^3(\theta)} \\\\\\ \displaystyle \lim_{\theta \to 0}\cfrac{2\sin(0)-\cos^4(0)}{4\cos^3(0)}\implies \lim_{\theta \to 0}\cfrac{2(0)-1^4}{4(1^3)}\implies {\Large \begin{array}{llll} -\cfrac{1}{4} \end{array}}[/tex]

Determine an nth degree polynomial that satisfies the aforementioned conditions.

Answers

The polynomial of p(x) is 20/13(x³+4x²-9x-36) with the satisfying's conditions degree 3.

Given that,

An nth degree polynomial p meets the requirements listed below:

p is of degree 3.

-3 is a multiplicity 1 zero of p.

-4 is a zero, with multiplicity 1, of p.

3 is a root, with multiplicity 1, of p.

p(-2)=-40

We have to determine an nth degree polynomial that satisfier the conditions.

Let the polynomial be p(x) whose zero are -3,-4 and 3.

a be the coefficient.

p(x)=a(x+3)(x+4)(x-3)

p(x)=a(x²-3²)(x+4)

p(x)=a(x²-9)(x+4)

p(x)=a(x³+4x²-9x-36)

Now, take x=-2

p(-2)=a((-2)³+4(-2)²-(-2)-36)

-40=a(-8+16+2-36)

-40=a(-26)

a=-40/-26

a=40/26

a=20/13

We get,

p(x)=20/13((x+3)(x+4)(x-3))

p(x)=20/13(x³+4x²-9x-36)

Therefore, the polynomial of p(x) is 20/13(x³+4x²-9x-36) with the satisfying's conditions degree 3.

To learn more about degree visit: https://brainly.com/question/364572

#SPJ1

25% of 0÷4 = 0÷1 True or False?

Answers

Answer:

false

Step-by-step explanation:

25% is equivalent to 0.25

can anyone help? thanks!

Answers

Answer: 175

Step-by-step explanation:

7 x 1 x 5^2

7 x 1 x 25

7 x 25

175

Answer:

175

Step-by-step explanation:

Since we have 7ca^2 and since we know a = 5 and c = 1, we can just plug in these values for a and c and follow the order of operations:

[tex]7ca^2\\7(1)(5)^2\\7(1)(25)\\7*25=175[/tex]

HURRY PLS!! TEST!!!!

consider the line y=5x-5

find the equation of the line that is parallel to this line and passes through the point (3,4)

find the equation of the line that is perpendicular to this line and passes through the point (3,4)

Answers

Answer:

y=-5x+19

Step-by-step explanation:

yeah -ya...... right?

You have four sweaters, five pairs of pants, and three pairs of shoes. How many different combinations can you make, wearing one of each? Explain your answer. a. 4 times 5 + 3 = 23 b. 4 times 5 = 20 c. 4 times 5 times 3 = 60 d. 4 + 5 + 3 = 12 Please select the best answer from the choices provided A B C D

Answers

There are total 4*5*3 = 60 ways of wearing one each.

What is Fundamental Counting Principle?

A rule used to count the entire number of alternative outcomes in a circumstance is known as the fundamental counting principle.

Solution:

Let,

for three events A, B, and C, number of outcomes be a,b, and c respectively.

So, the total number of outcomes is given by the product of outcomes of all the events i.e. by using Fundamental Counting Principle.

In the question mentioned,

a = 4

b = 5

c = 3

So, total outcomes = 4*5*3 = 60 ways

To learn more about Fundamental Counting Principle from the given link

https://brainly.com/question/10275154

#SPJ9

What is 2(5+777x60 ÷6[8-9]

Answers

Answer:

-15530

Step-by-step explanation:

plug it in to a calculator

why so random numbers

Answer:

Step-by-step explanation:

2(5+777x60/6x(-1))

2(5-7770)

2x(-7765)

-15530

Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates.

(1,5) , (3,−2)

Answers

The required equation is y = - 3.5x + 8.5 (in slope-intercept form) of the line passing through the points with the given coordinates.

What is the slope of the line?

The slope of a line is defined as the gradient of the line.

Given that the line that passes through two points (1,5), and (3,−2)

Let the required equation of the line will be as :

y - 5 = [(-2 - 5)/(3-1)](x - 1)

y - 5 = (-7/2)(x - 1)

y - 5 = - 3.5(x - 1)

y - 5 = - 3.5x + 3.5

y = - 3.5x + 3.5 + 5

y = - 3.5x + 8.5

Thus, the required equation is y = - 3.5x + 8.5 (in slope-intercept form) of the line passing through the points with the given coordinates.

Learn more about the Lines here:

brainly.com/question/14511992

#SPJ1

Which expression is equivalent to 1/3(x+6)−4

Answers

The expression that must be equivalent to the one give must be 1/3x - 2

Equivalent Expression

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable. Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

In this problem, we just need to simply the expression to get the answer to this.

1/3(x + 6) - 4

Step 1 : Expand or open the bracket

1/3x + 2 - 4

Step 2: Simplify the expression.

1/3x + 2 - 4 = 1/3x - 2

The equivalent expression must be 1/3x - 2

Learn more on equivalent expression here;

https://brainly.com/question/15775046

#SPJ1

what is the volume of the recycling box shown in the diagram , 20cm, 40cm, 60cm

Answers

Answer:

48000

Step-by-step explanation:

I multiplied the length times width time height (20x40x60) to get 48000.

Try It
Solving Equations with Rational Numbers
Solve this equation: -7x+12 - 2x = 23 + 13x
Step 1: Simplify by combining like terms that are on the
same side of the equation. Which terms can be
combined?
Check
-7x+12-2x = 23+13x

Answers

Answer:

-6/11

Step-by-step explanation:

please follow me to mark me on brainliest

[tex]\frac{5x^{6}5x^{-2}125x2x^{4}2x^{-5} }{2x^{5}5x^{-3}2x^{6\\} }[/tex]

Answers

[tex]\cfrac{5x^6 5x^{-2}125x 2x^4 2x^{-5}}{2x^5 5x^{-3} 2x^6}\implies \cfrac{5\cdot 5\cdot 125\cdot 2\cdot 2}{2\cdot 5\cdot 2}\cdot \cfrac{x^6 x^{-2}x x^4 x^{-5}}{x^5 x^{-3} x^6} \\\\\\ \cfrac{ 5\cdot 125}{1}\cdot \cfrac{x^{6-2+1+4-5}}{x^{5-3+6}}\implies 125\cdot \cfrac{x^4}{x^8}\implies 125\cdot \cfrac{1}{x^8 x^{-4}}\implies \cfrac{125}{x^{8-4}}\implies {\Large \begin{array}{llll} \cfrac{125}{x^4} \end{array}}[/tex]

Jaclyn bought new shoes priced at $98 and sales tax is 8%. What is the total cost of the shoes after-tax?

Answers

The total cost of the shoes after tax is 105.84 dollars.

How to solve sales tax?

Sales tax is a tax on goods and services purchased and is normally a percentage added to the buyer's cost.

Jaclyn bought new shoes priced at $98 and sales tax is 8%. The total cost of the shoes after tax can be calculated as follows;

Therefore, the cost after tax is the sum of the cost and the sales tax.

Hence,

sales tax = 8% of 98

sale tax = 8 / 100 × 98

sales tax = 784 / 100

sales tax = $7.84

Hence,

total cost after tax = 7.84 + 98 = 105.84 dollars

learn more on sales tax here: https://brainly.com/question/8648684

#SPJ1

Other Questions
sales on account (all are collectible) amounted to $560,000 during 2022. accounts receivable were $112,000 on january 1, 2022 and $98,000 on december 31, 2022. how much cash was collected from customers during the year ended december 31, 2022? The three-dimensional figure below is a cylinder with a hole in the shape of a rectangular prism going through the center of it. The radius is 10 yards. Find the volume of the solid in cubic yards, rounded to the nearest ten. Use 3.14 for pi. Which statement is an example of asyndeton? She was caring, thoughtful, accepting of everyone, accommodating of individuality, fostering of an acceptingenvironment. The brothers, who were skilled at chess, won hundreds of dollars every year from chess competitions. By the time we found the restaurant, we were all soaking wet, starving, and too irritable to actually enjoy anything Once inside the library, he was surrounded by the miles of stacks, yards of history, and acres of stories.Save and Exit What does writing a lede do to your writing Jim has created a nice property flyer for the James home. Jim should not use this flyer as what?a. Handout at open housesb. Substitute for advertisingc. Handout for other agentsd. Mailer for telephone inquiries how many different oligosaccharides can be made by linking one glucose, one mannose, and one galactose? After World War I, many Americans f(x) = 1/3x + 1; h(x)= -f(x) If 0. 274 moles of a substance weighs 62. 5 g, what is the molar mass of the substance, in units of g/mol?. HELP NOW Which variables would the scatter plot at the right be most likely to represent?A.The number of people at a concert and the total concession salesB.The number of guests at a hotel and the total water consumptionC.The number of siblings a person has and the person's GPAD.The total number of miles driven and the total gallons of gas used a florist is buying a number of motorcycles to expand its delivery service. these will cost $82,880 but are expected to increase profits by $3,664 per month over the next four years. what is the payback period in months? (round your answer to two decimal places) Why are microdeletions and microinsertions difficult to diagnose with karyotyping. 7) What is the value of x?214221Drawing not to scale Match these items.1. changing from liquid to gas state evaporation 2. the combining substances in a reaction fusion 3. radiation gamma rays 4. slow oxidation burning 5. melting point of water reactants 6. a reaction between a substance and oxygen nuclear 7. pertaining to the nucleus of an atom 0 degrees C 8. to fuse or join together rusting 9. rapid oxidation thermo- 10. heat oxidation Paso 1. Complete las siguientes oraciones con la forma apropiada de hacer, or, poner, salir, traer o ver. Use no cuando sea necesario para que opens in a dialog las oraciones sean opens in a dialog apropiadas para usted. What would be a reaonable concluion to draw about the correlation between tandard of living and a country with an abundance of oil that ue it profit to help citizen of a country? * A. Oil production doe not impact the tandard of living in a country. B. The tandard of living ha not been improved becaue oil ha not raied the GDP per capital in thoe countrie. C. Oil ha created a limited amount of job for the people increaing the unemployment rate. D. The tandard of living ha been improved due to better education, healthcare, road, and technology A camp counselor and four campers are to be seated along a picnic bench. In how many ways can this be done if the counselor must be seated in the fourth and a camper who has a tendency to engage in food fights must sit to the counselor's immediate ? which of the following is true about protein? multiple choice it is important primarily for increasing bone density. it is made up of combinations of approximately 20 fatty acids. it is made up of combinations of approximately 20 amino acids. it is unique in that it is the only dietary component that contains selenium. How does AICPA define independence? who was the author and what was his role in society? how did this likely affect his pov in the document? when was this document composed? where was the author living? what labor system was the author describing and how did the system work? whose labor was being exploited? what were the laborers doing? describe how this labor system worked. what were the major hazards connected with the extraction and production of mercury and silver? what does the document tells us about the impact of the mita system on native society? where was much of this silver sent after it was mined? what did spain use the money for?