write 68.19 to one significant figure

Answers

Answer 1

Answer:

70...............................

Answer 2
Answer:  70

Reason:

The left-most digit is the most significant when it comes to rounding. We bump the 6 up to 7 since 68 is closer to 70 (compared to 60). The other digits turn to 0 and become insignificant.

Do not write any of the following:

70.70.070.00

because that would mean we would have 2, 3, and 4 sig figs respectively. We simply write 70 without a decimal point.


Related Questions

Can the following list represent a complete probability model? P(2)= 1/12 P(3) = 2/3 P(4) = 1/4

Answers

Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.

What exactly is probability?

The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.

=> P(2) + P(3) + P(4)

=> 1/12 + 2/3 + 1/4

=>  (1 + 8 + 3) / 12

=> 12 / 12 = 1

In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.

In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.

Therefore, a complete probability model cannot be represented by this list.

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Solve by using a system of equations.

A goldsmith has two gold alloys. The first alloy is 30% gold; the second alloy is 80% gold. How many grams of each should be mixed to produce 40 grams of an alloy that is 60% gold?

Answers

The amount of grams of each alloy that should be mixed to produce 40 grams of an alloy that is 60% gold are 16 grams and 24 grams respectively.

How to write a system of equations to model this situation?

In order to write a system of linear equations to describe this situation, we would assign variables to the quantity of first alloy (30% gold) and the quantity of second alloy (80% gold) respectively, and then translate the word problem into a linear equation as follows:

Let the variable y represent the quantity of first alloy (30% gold).Let the variable x represent the quantity of second alloy (80% gold).

Therefore, a system of linear equations to describe this situation can be written as follows;

x + y = 40      .....equation 1.

0.3x + 0.8y = 0.6(40)      .....equation 2.

From equation 2, we have the following:

0.3x + 0.8y = 24

0.3x + 0.8(x - 40) = 24

0.3x + 32 - 0.8x = 24

-0.5x = -8

x = -8/-0.5

x = 16 grams.

y = 40 - x

y = 40 - 16

y = 24 grams.

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For the following exercises,
(a) find the angle between 0 and 2π in radians that is coterminal with the given angle.
(b) find the reference angle of each one.

a)32π/13 b)-17π/6

Answers

The reference angle of given angles are -6π/13 and -5π / 6

To get coterminal angles, you simply have to add or subtract 2π.

a) 32π/13 =

= -32π/13 + 2π

= -32π + 26π / 13

= -6π/13

b) -17π/6 + 2π =

= -17π + 12π / 6

= -5π / 6

Hence the reference angle of given angles are -6π/13 and -5π / 6

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The table describes the quadratic function p(x). x p(x) -4 24 -3 9 -20 -1 -3 0 2 0 What is the equation of p(x) in vertex form? Op(x) = 2(x - 1)² - 3 p(x) = 2(x + 1)² - 3 Op(x) = 3(x - 1)² – 3 p(x) = 3(x - 1)² – 3​

Answers

The equation of p(x) in vertex form is p(x) = 3(x + 1)² - 3.

Option C is the correct answer.

Since, Polynomial is an equation written as the sum of terms of the form kxⁿ.

where k and n are positive integers.

We have,

From the table,

From p(x) = 24 to p(x) = -3 the value of p(x) is decreasing and from p(x) = -3 to p(x) = 24 it is increasing.

So,

The vertex is (- 1, -3).

The vertex form of p(x).

p(x) = a ( x - h)² + k

Where (h, k) is the vertex.

Now,

(-1, -3) = (h, k)

Make (- 2, 0) = (x, p(x))

0 = a (- 2 + 1)² + (-3)

0 = a x 1 - 3

a = 3

Thus, The vertex equation of p(x).

p(x) = 3(x + 1)² - 3

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i need an answer for this with explanation ​

Answers

Answer: 76

Step-by-step explanation:

The surface area is all of the area faces added together

The blue is 5*4  but I have 2 of those faces so I multiply by 2

(5*4*2)=40

The red is 4*2  but I have 2 of those faces so I multiply by 2

(4*2*2)=16

The green is 5*2  but I have 2 of those faces so I multiply by 2

(5*2*2)=20

Add those together

A=40+16+20=76

Identify the null and alternative hypotheses
Statistics!

Answers

The null and the alternate hypothesis are:

H₀: p ≤ 0.5H₁: p > 0.5

How to write the hypothesis

In hypothesis testing, we take the null hypothesis (H₀) and the alternative hypothesis (H₁). The null hypothesis is the opposite of the claim , while the alternative hypothesis states  the claim.

In this case, the null hypothesis is that a majority of adults would not erase their personal information online if they could (i.e., 50% or less of them would do so). The alternative hypothesis is that a majority of adults would erase their personal information online if they could (i.e., more than 50% of them would do so). In symbolic form:

H₀: p ≤ 0.5

H₁: p > 0.5

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Select the correct answer from each drop-down menu.
Consider the expression below.

Answers

1. If the expression is set equal to 10x + 5, the expression will have infinitely many solutions. 2. If the expression is set equal to 10x + 7, there would be no solution. 3. One solution.

What is like term?

In algebra, like terms are those in which the same variables are raised to the same powers. For instance, the fact that the variable x has been raised to the first power makes the expressions 3x, 2x, and -5x similar. Related expressions include 4y², -y², and 7y², all of which have the variable y increased to the second power. By maintaining the variable and its exponent the same, like terms can be joined by adding or removing the coefficients (the numbers placed in front of the variables).

The given expression is given as 12x - 6x + 4x + 5 = 10x + 5.

Simplifying the expression we het 10 x + 5.

1. If the expression is set equal to 10x + 5, the expression will have infinitely many solutions as it will always be true.

2. If the expression is set equal to 10x + 7, there would be no solution, as the variable is eliminated.

3. If the expression is set equal to -10x + 5, there would be only one solution.

10x + 5 = -10x + 5

20x = 0

x = 0

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There are 6 bottles of water.
Each bottle is 1/2 full. If you
were to combine all the
water, how many full bottles
of water would there be?

Answers

Answer:3

Step-by-step explanation: 1/2 X 6 = 3

Answer:

6 x 1/2 = 3 full bottles

Step-by-step explanation:

the cost of a luna bar is 2 dollars at harmons. what is the cost of 30 luna bars

Answers

Answer:

60

Step-by-step explanation:

2$ times 30 luna bars at harmons is $60

Describe two trends you can find in the graph below. Use calculations and numbers to support your thinking.

Answers

The two trends on the graph are:

Positive correlationNegative correlation

Describing the two trends on the graph

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

The graph

The two trends on the graph are:

Positive correlationNegative correlation

For the positive correlation, we have

Upward trend from January till August

This is because the function values increase approximately in this domain

For the negative correlation, we have

Upward trend from August till December

This is because the function values decrease approximately in this domain

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Find the value of 11 3/8 -7/8

Answers

The value of 11 3/8 -7/8 is 10 1/2

What is subtraction?

Subtraction is the operation or process of finding the difference between two numbers or quantities . For examples, if out 100 students In a school , 40 are boys , the number of girls in the school is calculated by subtracting the number of boys from the total number of students.i.e 100 - 40 = 60

Solving 11 3/8 -7/8

= 91/8 - 7/8

= (91-7)/8

= 84/8

= 21/2

= 10 1/2

Therefore the value of 11 3/8 -7/8 is 10 1/2

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The following playing cards are used in a game. 1, 2, 3, 4, 5, 6, 7

Find the P (not prime)

Answers

When a number is selected at random, the probability that a number that is not a prime number would be selected would be = 3/7.

How to determine the probability of a non prime numbers?

Prime numbers are defined as those numbers that are greater than one that cannot be divided by a whole number apart from themselves without a remainder.

To calculate the probability of non prime numbers from a game of cards the formula for probability should be used. That is;

Probability = possible outcome/sample space

The possible outcome = 1,4,6 = 3

The sample space = 7

Therefore probability = 3/7

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PLS HELP WILL GIVE BRAINLIEST
what will the coordinates be if Point A (-4,-5) of the trapezoid was reflected across the y-axis and shifted -6 units in the x direction and 7 units in the y direction.

Answers

Answer:

If point A (-4,-5) of the trapezoid is reflected across the y-axis, the x-coordinate will change sign while the y-coordinate remains the same. This gives us the point A' (4, -5).

Next, if we shift the point A' by -6 units in the x-direction and 7 units in the y-direction, we get the new point A":

A" = (4 - 6, -5 + 7) = (-2, 2)

Therefore, the coordinates of point A after it is reflected across the y-axis and shifted -6 units in the x direction and 7 units in the y direction are (-2, 2).

Step-by-step explanation:

Answer:

(-2, 2)

Step-by-step explanation:

I did the test

Hope this helps :)

Suppose a polynomial function of degree 4 with rational coefficients has the given numbers as zeros. Find the other zeros.
-3, √3, 13/3
The other zeros are
(Use a comma to separate answers.)

Answers

Answer:

{-3, √3, -√3, 13/3}

Step-by-step explanation:

Since the polynomial has rational coefficients, any irrational zeros must come in conjugate pairs. So, if √3 is a zero, then so is its conjugate, -√3.

We can write the polynomial with these zeros as:

p(x) = a(x + 3)(x - √3)(x + √3)(x - 13/3)

where a is some constant coefficient. Multiplying out the factors, we get:

p(x) = a(x + 3)(x^2 - 3)(x - 13/3)

To find the remaining zeros, we need to solve for x in the expression p(x) = 0. So we set up the equation:

a(x + 3)(x^2 - 3)(x - 13/3) = 0

This equation is true when any of the factors is equal to zero. We already know three of the zeros, so we need to solve for the fourth:

(x + 3)(x^2 - 3)(x - 13/3) = 0

Expanding the quadratic factor, we get:

(x + 3)(x - √3)(x + √3)(x - 13/3) = 0

Canceling out the (x - √3) and (x + √3) factors, we get:

(x + 3)(x - 13/3) = 0

Solving for x, we get:

x = -3 or x = 13/3

Therefore, the other zeros are -3 and 13/3.

The complete set of zeros is {-3, √3, -√3, 13/3}.

Hope it helps^^

Find a pair of integers whose difference gives zero.
A)8 and 1
B)8 and 2
C)8 and 3
D)-8 and -8​

Answers

Answer:

Answer is D.

Please mark my answer as Brainliest if you found this one helpful.

example of a multi-step combination problem

Answers

Answer:

A multi-step-word problem is like a puzzle with lots of pieces. Multi-step word problems are math problems that have more than one operation. An operation is addition, subtraction, multiplication, or division. Multi-step word problems can have any combination of these operations

the diagram below shows all the possible totals from adding the results of rolling a two fair dice.
a) whats the probability of rolling a total of 5? give ur answer as a fraction in its simplest form.
b) if you rolled a pair of fair dice 180 times, how many times would you expect to roll a total of five?​

Answers

Answer:

Expected number of times to roll a total of 5 = Probability of rolling a total of 5 x Total number of rolls

                                                      = (1/9) x 180

                                                      = 20

Step-by-step explanation:

The diagram is not visible in the question. However, I can provide a general method to solve the problem.

a) To find the probability of rolling a total of 5, we need to count the number of ways we can get a sum of 5 and divide it by the total number of possible outcomes. From the diagram, we can see that there are four ways to get a sum of 5: (1,4), (2,3), (3,2), and (4,1). Since each die has six equally likely outcomes, there are 6 x 6 = 36 possible outcomes in total. Therefore, the probability of rolling a total of 5 is:

Probability of rolling a total of 5 = Number of ways to get a total of 5 / Total number of possible outcomes

                                   = 4/36

                                   = 1/9 (in its simplest form)

b) If we rolled a pair of fair dice 180 times, the expected number of times we would roll a total of 5 can be calculated as follows:

Expected number of times to roll a total of 5 = Probability of rolling a total of 5 x Total number of rolls

                                                      = (1/9) x 180

                                                      = 20

what is 9v+–3v+–4v–2+1 simplified

Answers

Answer:

2v-1

Step-by-step explanation:

9v+-3v+-4v-2+1

=9v-3v-4v-1

=6v-4v-1

=2v-1

(3d). Mary decided to open a uniform cleaning service at GTUC. When she started the business she had to purchase an Ironing Board for $15 and an Iron for $35. Also, she figured it would cost $1.25 in cleaning products for each uniform, so she decided she was going to charge $3.25 for cleaning and pressing one entire uniform i. Write a system of equations that would represent the above scenario. ii. How many uniforms does Mary have to clean in order to break even? ​

Answers

she needs to clean 15 uniforms to break even

Please answer if you know this one with the steps thank you.

Answers

Step-by-step explanation:

T = 5200 = .2 ( E - 10600)

       5200 / .2 = E - 10600

            E = 5200/.2   + 10 600 = 36600 pounds

v=? image attached please help

Answers

Answer:

v=12

Step-by-step explanation:

9/v = 6/8

9 = 6v/8

72= 6v

v= 12

Answer:

v = 12

Step-by-step explanation:

Now we have to,

→ Find the required value of v.

Given proportion,

→ (9/v) = (6/8)

Then the value of v will be,

→ (9/v) = (6/8)

→ 9 × 8 = 6 × v

→ 72 = 6v

→ 6v = 72

→ v = 72/6

→ [ v = 12 ]

Hence, the value of v is 12.

What expression is or is not equivalent, what is the answer?

Answers

Answer:
A and B

Step-by-step explanation:

-10/3= -3.33333333333

(- (-10))/(-3)= -10/3, (negative sign being erased)

=-3.33333333333

hope it helped:)

Determine the point estimate of the population​ proportion, the margin of error for the following confidence​ interval, and the number of individuals in the sample with the specified​ characteristic, x, for the sample size provided.
Lower bound=0.640​, upper bound=0.910​, n=1200

Answers

The point estimate of the populationproportion, the margin of error for the following confidence​ interval, and the number of individuals in the sample are:

margin of error = 0. 135point estimate = 0. 775 x = 930 people

How to find the parameters ?

The point estimate of the population proportion:

= (lower bound + upper bound) / 2

= (0.640 + 0.910) / 2

= 0. 775

The margin of error for the confidence level :

= p - hat - lower bound

= 0. 775 - 0. 640

= 0. 135

The number of individuals in the sample with the specified characteristic (x ) :

= n x p - hat

= 1, 200 x 0. 775

= 930 people

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Denise is designing the seating arrangement for a concert at an outdoor theater. To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats. Explain to Denise how to create an equation to predict the number of seats in any row. Then using your equation. show your work to determine the number of seats in row 18.

Answers

Answer:113

Step-by-step Explanation:

To create an equation to predict the number of seats in any row, we need to start by defining a few variables:

Let's call the number of seats in the first row "a".

Let's call the number of additional seats in each row after the first row "d".

Since we know that each row has 6 more seats than the previous row, we can set d equal to 6:

d = 6

We also know that the first row has 11 seats, so we can set a equal to 11:

a = 11

To find the number of seats in any row, we can use the following formula:

number of seats in a given row = a + (n - 1) * d

Where "n" is the number of the row we are interested in.

Using this formula, we can find the number of seats in row 18:

number of seats in row 18 = 11 + (18 - 1) * 6

= 11 + 102

= 113

Therefore, there are 113 seats in row 18.

There are 16 green balls and 4 white balls in a bag. Four balls are drawn randomly from the bag. Let X be the number of white balls drawn.

(a) Find the expectation and variance of X.​

Answers

Answer:

the variance of X is 0.126.

Step-by-step explanation:

The number of white balls drawn X follows a hypergeometric distribution with N = 20 (total number of balls), K = 4 (number of balls drawn), and n = 4 (number of white balls). The probability mass function (pmf) of X is given by:

P(X = k) = (nCk)(N-nCk) / (NCk)

where C denotes the combination function.

(a) Expectation of X:

E(X) = np = nK/N = (4/20) * 4 = 0.8

Therefore, the expected number of white balls drawn is 0.8.

(b) Variance of X:

Var(X) = np(1-p)[(N-K)/(N-1)] = nK(N-K)(N-n)/(N^2(N-1)) = (4/20) * 4 * (20-4) * 16 / (20^2 * 19) = 0.126

Therefore, the variance of X is 0.126.

Answer:

The expected number of white balls drawn is 0.4 and the variance of X is 0.24.

Step-by-step explanation:

someone help i really need help with this

Answers

Answer:

29

Step-by-step explanation:

she spends $75 on the gift cards, which brings the total down to $175 which is how much money she has left. She then spends $123.5 on the 13 movie passes, she is then left with $51.5 to spend. Then you divide 51.5 by 1.75 to get 29.4 and rounds down to 29.

please help, due in an hour !!

Answers

Answer:

Step-by-step explanation:

The prism below is made of cubes which measure
1
4
of an inch on one side. What is the volume?

A 3D illustration view of a blank tabular with 5 rows and 2 columns.
Note: Figure is not drawn to scale.
A.

15
32
cubic in


B.

5
2
cubic in


C.

30
cubic in


D.

15
2
cubic in

Answers

The volume of the prism is B. 2.5 cubic inches.

How to calculate the volume

According to the question, the prism measures 1/4 of an inch on one side. Now we will assign values to the length, width, and height of this prism as follows:

Length = 2 × 1/4

Width = 5 × 1/4

Height = 3 × 1/4

= 2/4 + 5/4 + 3/4

=  2 2/4

= 2.5 cubic inches.

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The strength of a beam is proportional to the width and the square of the depth. A beam is cut from a cylindrical log of diameter d = 24 cm. The figures show different ways this can be done. Express the strength of the beam as a function of the angle in the figures. (Use k as your proportionality constant.)

Answers

The strength of the beam is proportional to the width and the square of the depth, so we can express it as Strength = k * width * depth²

where k is the proportionality constant.

In the given figures, the beam is cut from a cylindrical log of diameter d = 24 cm, which means the maximum width and depth of the beam are limited by this diameter. We can see from the figures that the width and depth of the beam change depending on the angle at which it is cut from the log.

In Figure 1, the width and depth of the beam are equal, so we can express the strength of the beam as:

Strength = k * width * depth² = k * x² * (d/2 - x)²

where x is the width and depth of the beam.

In Figure 2, the width and depth of the beam are not equal, so we need to express them separately. Let w be the width and d be the depth, then we can express the strength of the beam as:

Strength = k * width * depth² = k * w * d² = k * ((d/2)sinθ)² * ((d/2)cosθ)²

where θ is the angle at which the beam is cut from the log.

In Figure 3, the width and depth of the beam also vary with the angle θ. We can express the width and depth as follows:

w = d sinθ

d = (d/2)cosθ

Then we can express the strength of the beam as:

Strength = k * width * depth² = k * (d sinθ) * [(d/2)cosθ]²

Therefore, depending on the angle at which the beam is cut from the log, the strength of the beam can be expressed using different equations, but in all cases, the strength is proportional to the width and the square of the depth, with a proportionality constant k.

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Complete question is:

The strength of a beam is proportional to the width and the square of the depth. A beam is cut from a cylindrical log of diameter d = 24 cm. The figures show different ways this can be done. Express the strength of the beam as a function of the angle in the figures. (Use k as your proportionality constant.)

Ignatio and his two friends each bought a ticket to play lazer tag and each spent $15 on game tokens at Fun Mountain. Let t represent the cost of a lazer tag ticket. Enter an expression that represents the total amount that Ignatio and his friends spent.

Answers

The expression that represents the total amount that Ignatio and his friends spent is 15t


Calculating the expression that represents the total amount

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

Each spent $15 on game tokens at Fun MountainEach cost = t

After spending on t games, we have

f(t) = Rate * t

Substitute the known values in the above equation, so, we have the following representation

f(t) = 15 * t

Evaluate

f(t) = 15t

Hence, the expression that represents the total amount that Ignatio and his friends spent is 15t

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Other Questions
Synonym of ordinary in a competitive industry where firms are making economic losses, responses a the industry ceases to exist.the industry ceases to exist. b the industry will expand with more firms.the industry will expand with more firms. c market price will fall.market price will fall. d some firms in the industry may exit the industry. Jesus works at a computer outlet. He receives a bi-weekly salary of$300 plus 5. 5% commission on his sales. In the last two weeks, he sold$16,200 of computer equipment. He pays 8% for State Income Tax,12. 3% for Federal Income Tax, 6. 3% for Social Security, and 1. 45%for Medicare. What steps did I take to find Jesus' net bi-weeklypay? (Show your work) The service history of the Prego SUV is as follows: 50%will need no repairs during the first year, 35% will have re-pair costs of $500 during the first year, 12% will have repair costs of $1500 during the first year, and the remaining SUVs(the real lemons) will have repair costs of $4000 during their first year. Determine the price that the insurance company should charge for a one-year extended warranty on a Prego SUV if it wants to make an average profit of $50 per polic Peter had to solve a puzzle.which mathematical symbol can be placed between 5 and 9, to get a numbergreater than 5, but less than 9? Henley wrote this poem at the time of his life when she was in the dark. Sick and tuberculosis of the bone.It was a time in his life when he had to undergo to save his leg fro being amputated.Cite specific phrases or images the poem that express courage in face of death. 6. When Word breaks up words that you want to keep together, fix this by using a:a. Word break.b. Hyphen.c. Merge.d. Non-breaking spacee. Margin adjustment. Anita plans to take $2600 loan for one year at an annual interest rate of 14% compounded monthly. She plans to pay off the loan in one payment at the end of the year. Multiplying 2600 by 0. 14, she determines she will pay $364 in interest on the loan. Describe the error and calculate how much interest she will pay 7) If a professor can grade 5 essays in 40 minutes, the professor can grade 32 essays in 256 minutes. (10pts)O TrueO False Determine the length of the leg of 45* -45*-90* triangle with a hypotenuse length of 26 How many degrees will the air temperature be different in 2050 from the air temperature in 2000? (Your answer should be a number or range of numbers. ) Should a Loss Prevention Officer be able to put his hands on and hand-cuff a child (5-13) to protect store property? A gas occupying 3. 05 liters at STP is warmed to 85. 0C. Itnow occupies 9. 85 liters. What is the pressure of the gas? On the same coordinate plane, mark all points (x,y) such that (A) y=x-2, (B) y=-x-2, (C) y=|x|-2 Real Zeros of a Polynomial Function Study the table based on this information, what inference can be made? question 4 options: both species are cold-blooded. both species are warm-blooded. species a is cold-blooded and species b is warm-blooded. species a is warm-blooded and species b is cold-blooded. understanding the concept of culture is essential to business communicators living and working in a globalized society. culture is a powerful force that shapes the way we think and behave. choose those characteristics that describe culture from the following list. check all that apply. culture is inherently illogical. culture is learned. culture is solely dedicated to art and music. culture is inherently logical. culture is the basis of self-identity and community. culture never changes. Find the area of the shaded sector.round to the nearest tenth.16717.8 ydarea = [ ? ]yd? 18Read these sentences from lines 36 through 38.The sailors all turn with a look of terror on their faces. A gigantic monster with three headsand swinging three huge clubs in three of his hands is charging toward them on three setsof feet!How does the repetition of the word "three" add to a feeling of dread?A by illustrating how great a danger the sailors are facingB by proving that no one could escape from the monster aliveCby making the monster seem scarier than it actually isD by identifying the monster as a made-up creature Oigan, todos se estnequivocando, una niaciega la perdi, suanillo y su perro,qu perdi primero?