What is the modulus of 2 - 3i?
Oi
O √√√5
O
1-√√5
O√13

Answers

Answer 1

The modulus of 2 - 3i is √13. So, the correct option is d.

What is modulus?

Modulus is a mathematical operation used to find the remainder when dividing two numbers. This is called a percent sign (%) and is represented by a single number such as 12. Used to determine if two numbers are divisible (no remainder). You can also use the modulus to compare two numbers to see which is greater or lesser. Additionally, this module can be used to calculate the distance between two points on the coordinate plane.

It is computed by taking the square root of the sum of the squares of the real and imaginary components, so √(2^2 + (-3)^2) = √13. The modulus of a complex number, also called absolute value, is a measure of distance from the origin.

Let z = -2 - 3i

z = (-2) + (-3)i

Modulus of z = √((-2)² + (-3)²)

√(4 + 9) = √13

Modulus of z = √13

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Related Questions

Why is halting problem undecidable?

Answers

Therefore , the solution of the given problem of tractable problem comes out to be  the halting problem is undecidable for Turing machines.

Tractable problem: what is it?

a process that completes a manageable task in a polynomial amount of time. The polynomial upper bound is used. If an issue cannot be resolved in a polynomial amount of time, it is referred to as being intractable. The bound's minimum is exponential.

Here,

Alan Turing proved in 1936 that a general algorithm running on a Turing

machine that solves the halting problem for all possible program-input

pairs necessarily cannot exist.

the halting problem is undecidable for Turing machines.

Therefore , the solution of the given problem of probability comes out to be  the halting problem is undecidable for Turing machines.

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Right triangle $ABC$ has one leg of length 6 cm, one leg of length 8 cm and a right angle at $A$. A square has one side on the hypotenuse of triangle $ABC$ and a vertex on each of the two legs of triangle $ABC$. What is the length of one side of the square, in cm

Answers

One side of the square has a length of 10 cm.

The triangle $ABC$ is a right triangle and it has one leg of length 6 cm and one leg of length 8 cm. Using the Pythagorean theorem, we can find the length of the hypotenuse:

c^2 = a^2 + b^2

c = √(a^2 + b^2)

c = √(6^2 + 8^2)

c = √(36 + 64)

c = √(100)

c = 10

So the hypotenuse of triangle $ABC$ has a length of 10 cm.

The square has one side on the hypotenuse of the triangle $ABC$ and a vertex on each of the two legs of the triangle $ABC$. Since the square is on the hypotenuse of the triangle, one side of the square has the same length as the hypotenuse of the triangle, which is 10 cm.

Therefore, one side of the square has a length of 10 cm.

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Shoes and hats are on sale. The expression 1/4(s + 24. 80) can be used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24. 80. Write another expression that can be used to determine the discount

Answers

The expression (1/4)(s + 24.80) is used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24.80. The expression calculates the discount as a quarter of the total retail price of the shoes and hats. So another expression is 0.25s + 6.20.

Another expression that can be used to determine the discount would be to calculate the discount as a percentage of the total retail price of the shoes and hats. For example, if the discount is 25%, the expression would be:

Discount = 0.25 × (s + 24.80)

This expression calculates the discount as 25% of the total retail price of the shoes and hats.

Another expression can be :

Discount = 0.25×s + 6.2

This expression calculates the discount as 25% of the shoes price and $6.2 for hats.

It is important to note that the specific expression used to determine the discount will depend on the details of the sale and how the discount is being offered. The above expressions are just examples of how the discount can be calculated using different methods.

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X + 15 _> 64.5 in inequality from

Answers

Answer:

X ≥ 49.5

Step-by-step explanation:

X + 15 ≥ 64.5

Subtract 15 from both sides

X ≥ 49.5

So, the answer is X ≥ 49.5

how many integer between 20 and 40 divisable by 3

Answers

Answer:

4 prime numbers all divisible by 3

Step-by-step explanation:

there are 4 prime numbers between 20 and 40 23, 29, 31, 37 all divisible by 3

Answer:

7 integers

Step-by-step explanation:

We can find how many integers between 20 and 40 are divisible by 3 by looking at the multiples of 3 that lie between 20 and 40.

1: 3 * 7 = 21

2: 3 * 8 =24

3: 3 * 9 = 27

4: 3 * 10 = 30

5: 3 * 11 = 33

6: 3 * 12 = 36

7: 3 * 13 = 39

What is the coefficient of x² in 3x 5?

Answers

The coefficient of the variable x² in the expression 3x+5 is 0

Given that,

The expression is 3x+5

To find : The coefficient of the variable x² in the expression

Coefficient is the number that is beside the variable in the equation.

The coefficient of x in 3x+5  is 0

A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6

As we can see that the term that is in multiplication with x²  is 3.

Hence, the coefficient of x²  in the equation 3x+5  is 0.

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sutton is listing the prime factorazation for 220 what is the last factor she needs 2 square root of 5

Answers

Answer:

4.472135955

Step-by-step explanation:

Look at the graph, then select the correct answer.

Which distribution has the greatest spread?


A. Distribution 1

B. Distribution 2

C. Distribution 3

D. Distribution 4

Answers

The distribution has the greatest spread is

C. Distribution 3

What is standard deviation?

The term standard deviation refers to a measurement of the data's dispersion or spread from the mean.

A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed or spread out.

In the given problem the distribution that has a higher value of standard deviation is the one that has the highest spread spread

This is distribution 3 with a standard deviation of 7.2

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Is horizontal the Y?

Answers

Yes, if the value of y = 0 then it makes the horizontal line.

The term horizontal line is defined as one that goes from left to right.

And here we also know that they are parallel to the x –axis in the coordinate plane.

And the horizontal line has a slope of zero.

While we looking into the move along the right of the line, then it does not rise or fall at all.

Here we have to the that the following factors are also included in feature:

In as the horizontal line is parallel to the x-axis and it is parallel to the horizon.

Where as the horizontal line is a sleeping line and it is also defined as can be a sleeping, standing, or a slanting line.

Where the horizontal line is perpendicular to the y-axis.

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fill in the following statements with sometimes, always, or never in order to the statements true

Answers

Perfect squares NEVER be irrational numbers.

Repeating decimals will ALWAYS be rational numbers.

Irrational numbers will NEVER be able to be written as fractions.

What is a perfect square?

A square number, also known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3² and is represented by the symbols 3 × 3.

A number whose decimal representation eventually becomes periodic is known as a repeating decimal, also known as a recurring decimal.

All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to express an irrational number as the ratio of two integers.

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Complete question

Fill in the following statements with either "sometimes ", "always ", or "never " in order to make it a true statement.

Perfect squares _______be irrational numbers

Repeating decimals will_____be rational numbers

Irrational numbers will____ be able to be written as fractions

A high school has a population of 2,035 students and is increasing by 3% each year.
Write an exponential function to model the student population in terms of the number of years from now.


Predict the number of students that will be in the school after five years. Show all of your work.

Answers

The student population in the school can be modeled using an exponential function of the form:

P(t) = 2,035 * 1.03^t

where P(t) is the student population t years from now, and 1.03 is the factor by which the population increases each year.

To predict the number of students in the school after five years, we can substitute t = 5 into the function:

P(5) = 2,035 * 1.03^5

= 2,035 * 1.1895

= 2,408.76

Thus, there will be approximately 2,408.76 students in the school after five years.

Which expression is the factored form of 2x^2 7x 3?

Answers

The factored form of quadratic equation 2x² + 7x + 3 is 2(x + 1/2) (x + 3)

A quadratic equation can be expressed in:

- Standard form: y = ax² + bx + c

- factored form: y = a(x - x₁) (x - x₂)

Here, x₁ and x₂ are the roots of the given function.

Suppose we are given a quadratic equation:

y = ax² + bx + c

To find the factored form, use the following properties:

x₁ . x₂ = c/a

x₁ + x₂ = - b/a

In this case, the quadratic function is:

y = 2x² + 7x + 3

We have to find x₁ and x₂ such that:

x₁ . x₂ = 3/2

x₁ + x₂ = - 7/2

Hence,

x₁ = - 1/2

x₂ = - 3

Therefore the factored form is:

y = 2(x + 1/2) (x + 3)

Your question is incomplete, but most probably your question was:

Which expression is the factored form of 2x² + 7x + 3?

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Destiny is 56 3 4 inches tall. Glen is 1 1 2 inches taller than Destiny and Jane is 1 1 5 inches taller than Glen. How tall is Jane

Answers

By simple algebra, Jane is 57 9/20 inches taller.

In math, what does taller than mean?

If one object or person's height exceeds that of another, the taller object or person is said to exist. There is a two-object or two-person limit. Taller is a relative term. For instance: Hoppy stands at 7 feet.

You can begin this issue by first figuring out Dwight's height. At 54 3/4 inches, he would be 1 1/2 inches taller than Chloe:

54 3/4 plus 1 1/2 equals 55 + (3/4 + 1/2) equals 55 + (3/4 + 2/4) equals 55 + 5/4 equals 56 1/4 inches.

Dwight stands at 56 1/4 inches.

Dwight is 1 1/5 inches shorter than Jane, so

56 1/4 plus 1 1/5 is 57 plus (1/4 plus 1/5) is 57 plus (5/20 plus 4/20) is 57 plus 9/20 is 57 9/20 inches.

Jane stands at 57 9/20 inches.

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HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

Answer:

1/2

Step-by-step explanation:

-3x+5x-2>-4x+1

first, you will combine like terms. -3x+5x=2x.

2x-2>-4x+1

you need to move the variable to one side. So you will add 4x on both sides.

6x-2>1

You need to add 2.

6x>3.

Now you will divide both sides by 6 to get x by itself.

x> .5 or 1/2

pls barinliest

On Tuesday Leah bought four hats. On Wednesday half of all the hats that she had were destroyed. On Thursday there were only 13 left. How many did she have on Monday? W: 22 hats N: 20 hats M: 10 hats O: 5 hrs

Answers

The number of hats that Leah had on Monday, given that half the hats were destroyed and four hats were bought, was, A. 22 hats.

How to find the number of hats ?

If half the hats that Leah owns were destroyed on Wednesday such that only 13 hats were left, then it means that the total hats before the destruction, was :

= 13 hats x 2

= 26 hats

Seeing as Leah bought four hats on Tuesday, this means that the hats she had on Monday were :

= Total hats - Hats purchased on Tuesday

= 26 - 4

= 22 hats

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Is 2x 3 a linear equation in two variables?

Answers

Therefore , the solution of the given problem of linear equation comes out to be  it is not a linear equation in two variables.

A linear equation is defined.

A linear model is the one that satisfies the algebraic formula y=mx+b. m is the y-intercept, while B is the slope. The foregoing sentence is sometimes referred to as a "mathematical expression having two variables" both y and x are different factors. Bivariate linear equations are two-variable linear equations. There are several uses for linear equations: , all result in zero. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. Y=mx+b is the formula for an equation, where m stands for the slopes and b for the y-intercept.

Here,

Given : 2x + 3 =0

thus,

To find that it is linear equation in two variable is given  equation

As,

We can see there is only one variable that is x.

So , it is not a linear equation in two variables.

Therefore , the solution of the given problem of linear equation comes out to be  it is not a linear equation in two variables.

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MUST ANSWER QUESTION!


A palindrome is a number that is read the same backwards as forwards, for instance 12321. How many 5-digit palindromes with different neighboring digits are there? (Note that 01210 is not considered a 5-digit number and the palindrome 52525 has different neighboring digits. )

Answers

There are 24 ,5-digit palindromes with different neighboring .

Define probability.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Can probability be greater than 1?

No, it is always between 0 t0 1.

Such a palindromic number should be  abcba  

2a+2b+c=14

Thus  c has to be even and we need

a+b=14−c/2 and we can choose for  a any value from  1 to  (14−c)/2

Thus the number of such palindromic numbers is

7+6+5+4+3=25

starting from  c=0 up to  c=8

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100 students were surveyed about which subject they liked best. 41 students said they like math, and 25 students said they liked Science. Of those students surveyed, 19 said they liked both.


How many students is the complement of math?

Answers

In 100 students, Science was rated favorably by 25 students, while math received ratings from 41 students. 19 of the students polled indicated that they approved of both. 16 students are the complement of math.

What is complement of a number?

The phrase "complement" is typically used to describe a subset of a set that does not include another subset. The entire original set is obtained by adding the complement and its taking. The complement of a set is typically represented by the notations. The complement of a set is the set that includes all the elements of the universal set that are not present in the given set.

The Total number of students were 100

Students who like maths were 41

Students who like science were 25

Students who like both maths and science were 19

Students who does not like maths are 41-25 = 16.

So the students who are the complement of math are 16.

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How do you prove irrational rational and irrational?

Answers

Rational and Irrational numbers can be depicted as the number that can be communicated as p/q are reasonable and which can't be communicated are called Unreasonable Numbers.

Rational Numbers are characterized as a number that can be addressed as p/q where q isn't equivalent to zero.

We can likewise, say that the part where the denominator and the numerator are whole numbers and the denominator isn't equivalent to zero is called Reasonable Numbers.

For Instance: 2/3, 3/9, addresses  Rational numbers.

Irrational Numbers are characterized as genuine numbers that can't be communicated as a proportion of whole numbers.

For Instance: [tex]\sqrt{2}[/tex], [tex]\sqrt{3}[/tex] addresses an Irrational number.

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one leg of a right triangle is 8 cm what could the other length be justify your answer

Answers

Answer:

6-L2


10-hypotenuse

Step-by-step explanation:

Pythagorean theorem

These two figures are similar. Find the length of side x

Answers

Answer:

probably 21

Step-by-step explanation:

Makea is making smoothies. For every 4 cups of orange juice, she uses 3 tablespoons of yogurt. Which ratio of orange juice to yogurt is NOT equivalent to the ratio she wants to use in the recipe?
A-40:30
B-19:9
C-15:20
D-8:6

Answers

Answer: A ratio is a comparison of two or more values. To compare the ratios of orange juice to yogurt, we want to ensure that the proportion of orange juice to yogurt is the same in each ratio.

Option A is 40:30. To compare this ratio to the original ratio, we can convert the amounts in cups to tablespoons. 40 cups is equal to 320 tablespoons and 30 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 320 is not equivalent to 3.

Option B is 19:9. To compare this ratio, we convert the amount in cups to tablespoons. 19 cups is equal to 152 tablespoons of orange juice and 9 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 19 cups.

Option C is 15:20. To compare this ratio, we convert the amount in cups to tablespoons. 15 cups is equal to 120 tablespoons of orange juice and 20 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 15 cups.

Option D is 8:6. To compare this ratio, we convert the amount in cups to tablespoons. 8 cups is equal to 64

Step-by-step explanation:

Clare made an error when solving -4x+3<23−4x+3<23.

Answers

The solution of the inequality is,

⇒ x > - 5

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 4x + 3 < 23

Now,

Since, The inequality is,

⇒ - 4x + 3 < 23

Solve as;

⇒ - 4x < 23 - 3

⇒ - 4x < 20

⇒ - x < 5

⇒ x > - 5

Thus, The solution is,

⇒ x > - 5

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Tina's favorite shade of teal is made with 777 milliliters of blue paint for every 555 milliliters of green paint. Tyler's favorite shade of teal is made with 555 milliliters of blue paint for every 777 milliliters of green paint. How does Tina's favorite shade of teal compare to Tyler's favorite shade of teal

Answers

Comparing the volume of the paints used and analyzing the proportions, The answer is Tina's shade is more blueish and Tyler's shade is more greenish.

What do you mean by ratio?

A ratio is a way to compare two or more numbers or amounts. It tells you how much bigger or smaller one number is compared to the other. It is often written as two or more numbers separated by a colon, such as "3:5" or "2:4:6". For example, if a recipe calls for 2 cups of sugar to 4 cups of flour, the ratio would be 2:4. This means for every 2 cups of sugar, there are 4 cups of flour. It's a way to express a relationship between values or quantities and it helps to understand the proportion of one value to the other values.

What do you mean by proportions?

Proportion is a relationship between two or more values or quantities that compares their sizes. It's a way of saying that two or more values are equal in some way. It can be written as an equation, such as "a/b = c/d", which means that the ratio of a to b is equal to the ratio of c to d. In other words, the proportion states that two or more ratios are equal to each other. For example, if a cake recipe calls for 2 cups of sugar to 4 cups of flour, the proportion would be 2/4 = 1/2. This means that for every 2 parts of sugar, there are 4 parts of flour, which can be written as a ratio 2:4 .

Tina's ratio of blue paint to green paint = 777:555

Tyler's favorite shade has a ratio =  555:777.

The ratio for Tina's shade is greater than 1 .

while the ratio for Tyler's shade is less than 1.

So Tina's shade is more blueish and Tyler's shade is more greenish.

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Lani is making a cake in the shape of a cone. to make the cake, she uses a cone shape mold. the mold has a diameter of 10 inches and a height of 12 inches. what is the volume of the cake? use 3.14 for pi. round to the nearest tenth, if necessary. responses 125.6 in³ 125.6 in³ 314 in³ 314 in³ 942 in³ 942 in³ 1256 in³

Answers

The volume of the cake Lani is making is 314 inches³.

Volume is defined as the amount of space a figure occupies. The formula for the volume of a cone is given by:

V = πr²h/3

where V = volume

r = radius of the base of the cone

h = height of the cone

π = 3.14

If the cone shape mold has a diameter of 10 inches, then its radius is equal to half of 10 which is 5 inches.

Plug in the values to the formula and solve for the volume.

V = πr²h/3

V = (3.14)(5 inches)²(12 inches)/3

V = 314 inches³

Hence, the volume of the cake is 314 inches³.

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What should be the value of a if the value of 2x² XA 4 equals to 5 when X 0?

Answers

The value of a is -1 When we put the value of x as zero all the terms which include x become zero then only constant terms are remaining.

The given question is in the form of an equation.

let's try to understand what is an equation.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance,

the equation 4x + 56 = 14 consists of the two equations 4x + 56 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

There are so many types of equations present linear equations, quadratic equations, and cubic equations.

According to the degree of the equation so many different types of equations.

2x^2 + x -a + 4  = 5 put x = 0.

2*0 + 0 - a + 4  = 5

-a + 4 = 5

-a = 5 - 4

-a  = 1

a  = -1.

So the value of a is -1.

Given Question is incomplete complete question here

What should be the value of a if the value of  2x^2 + x -a + 4  equals to  5 when x =0.

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please help me. I figured out my last question but i really need help!!! please

Answers

The area of the figure is 51.63 m²

How determine area of the composite figure?

A composite figure is figure that is made up of two or more different shapes.

The composite figure in the given image is made up of a rectangle, semicircle and a triangle. Therefore, the area of the composite figure will be the sum of the areas of the shape it is made of. Thus:

Area of figure = area if rectangle + area of semicircle + area of triangle

Area of figure = LW + 1/2πr² + 1/2bh

Area of figure = (6 × 5) + (1/2 × 3.14 × 3²) + (1/2 × 3 × 5)

Area of figure = 30 + 14.13 + 7.5

Area of figure = 51.63 m²

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Joe painted 3/4 of a bedroom in 1/2 of a day. How many days will it take for Joe to paint one bedroom?

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

2/3 of a day

Step-by-step explanation:

3/4 : 1/2 = 1 : X

X=2/3

What is the value of x in 2 5 )= 14?

Answers

The value of x in 2(5x)=14 is 1 2/5.

Define mixed fraction.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

How to convert mixed fraction to improper fraction?

When converting a mixed fraction to an improper fraction, the denominator and the whole number are multiplied, the product is added to the numerator, and the sum is written as the numerator and denominator.

2(5x) = 14

10x = 14

x = 14/10

Simplify the fraction, by turning it into a mixed number.

x = 1 4/10

Simplify the equation by dividing it by 2, so that it is in simplest form.

x = 1 2/5

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What is the coefficient of y in the expression 2y 5?

Answers

The coefficient of Y is 10 in  2y 5.

Any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value is known as a coefficient in mathematics. In some phrases, a letter might be substituted for the usual number. For example, x is the variable and a and b are the coefficients in the formula: ax2 + bx + c.

What is a coefficient?

A coefficient is a quantity or number that is coupled with a variable. Frequently, an integer is multiplied by the variable and written next to it. The variables that don't have a corresponding number are presumed to have a coefficient of 1.

10 is the Y coefficient in 2y 5.

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Identify the nouns, adjectives, verbs, and adverbs in each sentence. Remember that any part of speech can come in the form of a phrase as well, so make sure to mark the entire phrase.Should I take that plastic bottle out of the fridge?Mr. Gonzalez quickly reprimanded the student for using his cell phone in class.Interestingly, there was a strange inscription on the bottom of the clay pot.During the weekends, she volunteers at the local homeless shelter.The balcony collapsed because of a poorly manufactured steel I-beam. Which element will produce a new compound when added to a beaker containing an aqueous solution of copper (II) sulfate () What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created 1. Steinbeck decides that he must travel around America if he wants to be a goodAmerican writer. What life experience might he have had that would give him thisperspective?2. Identify at least two instances where Steinbeck uses figurative language in hisaccount. Describe the effect the figurative language has.3. Based on the excerpt you read, do you think Steinbeck's purpose was more toinform or to entertain? Use details to support your answer.4.You've read only part of the first section of Steinbeck's account, but based on whatyou've read, what message do you think he is setting up to communicate to hisreader? Why do you think this?5. Describe one inference you were able to make from explicit or implicit details in thetext. Does the inference contribute to your expectations about what will happen laterin the book? The average monthly salary of 10 male staffs and 5 female staffs of a manufacturing company are Rs. 20,000 and Rs. 18,000 respectively. Find the average monthly salary of all staffs taken together. examples for classification To what extent did Barack Obama fulfill his domestic policy goals? Freight trains can produce only relatively small acceleration and decelerations. a. What is the final velocity (in m/s) of a freight train that accelerates at a rate of 0.050 m/s2 for 8.0 min, starting with an initial velocity of 3.0 m/s What is King's most likely reason for comparing Socrates' ideas about tension in the mind with the tension of those who were involved in nonviolent direct action in Birmingham Some people argue that government should not be so involved in consumer protection. What are some arguments for and against this opinion? What are some of the forces at work on American English today?Here are some 5ree p01nts Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that the collision force exerted on the car is much greater than that exerted on the truck. To substantiate this view, they point out that the car is crushed, whereas the truck is only dented. This idea of unequal forces, of course, is false; Newton's third law tells us that both objects are acted upon by forces of the same magnitude. The truck suffers less damage because it is made of stronger metal. But what about the two drivers? Do they experience the same forces? To answer this question, suppose that each vehicle is initially moving at 6.60 m/s and that they undergo a perfectly inelastic head-on collision. Each driver has mass 75.0 kg. Including the masses of the drivers, the total masses of the vehicles are 800 kg for the car and 4,000 kg for the truck. If the collision time is 0.100 s, what force does the seat belt exert on each driver? (Enter the magnitude of the force.) At one sewage treatment plant, bacteria cultures produce 1000 L of methane gas per day at 1.0 atm pressure. What volume tank (V2) would be needed to store one day's amount of gas at a pressure of 5.0 atm? Is Gauses Principle accurate? Explain why or why not. The last digit of the heights of 36 statistics students were obtained as part of an experiment conducted for a class. Use the frequency distribution to the right to construct a histogram. Digit Frequency 0 33 1 33 2 553 554 445 336 337 448 339 33 What can be concluded from the distribution of the digits? Specifically, do the heights appear to be reported or actually measured? Determine 4.8610^24 atoms Au to grams What is a polynomial class 7? A jetski races down the river at a constant speed for t seconds, covering m metres. How long, inminutes, will it take for the jetski to cover n metres at the same speed? How do we manage change in the workplace effectively? I need help with this. The topic is renewable and non renewable resources