the following equation uses a numbering system that is not decimal, hex or binary. what is the "base?" hint, try using trial and error. 235? 32? = 311?

Answers

Answer 1

The equation can be written as: 235_8 + 32_8 = 311_8. So, the correct base is 8.

To find the base used in this numbering system, we need to first understand the meaning of the numbers given in the equation. We know that 235? represents a number in this unknown base system, 32? represents another number in the same base system, and the result of adding these two numbers is 311? in the same base system.

Let's try to find the value of the unknown base by using trial and error. We can start by assuming a base for the unknown numbering system and converting the given numbers into decimal numbers, then adding them up and converting the result back into the unknown base system. If the result matches the given value, then we have found the correct base.

Let's start by assuming the base is 6. Converting 235? and 32? into decimal numbers using base 6, we get:

235? = 2x6² + 3x6¹ + 5x6⁰ = 72

32? = 3x6¹ + 2x6⁰ = 20

Adding these two decimal numbers, we get 72 + 20 = 92. Now, let's convert 92 back into the unknown base system:

92 = 15x?¹ + 2x?⁰

We can see that this is not equal to 311?, so base 6 is not the correct base.

Let's try another base, say base 8:

235? = 2x8² + 3x8¹ + 5x8⁰ = 157

32? = 3x8¹ + 2x8⁰ = 26

Adding these two decimal numbers, we get 157 + 26 = 183. Now, let's convert 183 back into the unknown base system:

183 = 2x?² + 3x?¹ + 3x?⁰

We can see that this is equal to 311?, so the correct base is 8. The equation is:

235_8 + 32_8 = 311_8

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Related Questions

i need an explainarion

i need an explainarion

Answers

Answer:

x=3

Step-by-step explanation:

The line of reflection would be at x=3. It’s like a mirror.  The reflection is backward, but the same distance from the line of reflection, so the line needs to be halfway between the two shapes.  Since C is at 4 and C’ is at 2, the line of reflection has to be at 3.

Construct a Deterministic Finite Accepted M such that L(M) = L(G), the language generated by grammar G = ({S, A, B}, {a, b}, S , {S -> abS, S -> A, A -> baB, B -> aA, B -> bb} )

Answers

To construct a Deterministic Finite Accepted M such that L(M) = L(G), the language generated by grammar G = ({S, A, B}, {a, b}, S , {S -> abS, S -> A, A -> baB, B -> aA, B -> bb} ), the following steps should be followed:

Step 1: Eliminate the Null productions from the grammar by removing productions containing S. The grammar, after removing null production, becomes as follows.{S -> abS, S -> A, A -> baB, B -> aA, B -> bb}

Step 2: Eliminate the unit productions. The grammar is as follows. {S -> abS, S -> baB, S -> bb, A -> baB, B -> aA, B -> bb}

Step 3: Now we will convert the given grammar to an equivalent DFA by removing the left recursion. By removing the left recursion, we get the following productions. {S -> abS | baB | bb, A -> baB, B -> aA | bb}

Step 4: Draw the state diagram for the DFA using the following rules: State diagram for L(G) DFA 1. The start state is the initial state of the DFA. 2. The final state is the final state of the DFA. 3. Label the edges with symbols on which transitions are made. 4. A table for the transition function is created. The table for the transition function of L(G) DFA is given below:{Q, a} -> P{Q, b} -> R{P, a} -> R{P, b} -> Q{R, a} -> Q{R, b} -> R

Step 5: Construct the DFA using the state diagram and transition function. The DFA for the given language is shown below. The starting state is shown in green and the final state is shown in blue. DFA for L(G) -> ({Q, P, R}, {a, b}, Q, {Q, P}) Where, Q is the starting state P is the first intermediate state R is the second intermediate state.

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Factor Quadratics
(10 Point)
x² + 4x-5
(x - 1) (x + 5)
(x – 5) (x + 1)
O x (x+4) – 5
(x - 5) (x - 1)

Answers

Answer:

(x−1)(x+5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 + 4x - 5

(x + 5)(x - 1)

As a holiday gift, coach tells bryan that he will be running laps. if he runs 1 1/3 miles in 1/10 hour when doing laps for basketball, what is his rate of speed in miles per hour

Answers

Answer:

13 1/3 mph

Step-by-step explanation:

If running 1 1/3 miles takes him 1/10 hour, 1 1/3 * 10 will be his mph

suppose the firm shown above represents a single price monopolist (one which cannot price discriminate). what quantity will the firm produce?

Answers

As a single price monopolist, the firm will produce the quantity where marginal revenue equals marginal cost. This quantity will be lower than the competitive equilibrium quantity, leading to a higher price for consumers and reduced output in the market.

As a single price monopolist, the firm faces a downward-sloping demand curve for its product. To maximize profits, the monopolist will choose the quantity where marginal revenue (MR) equals marginal cost (MC). However, since the monopolist cannot price discriminate, it must charge the same price to all consumers. In a perfectly competitive market, the price is equal to the marginal cost, and the quantity produced is determined by the intersection of the demand and supply curves. However, as a monopolist, the firm restricts output to achieve higher prices and maximize its profits. The monopolist's marginal revenue curve lies below the demand curve, reflecting the fact that it can only increase output by lowering the price for all units sold. As a result, the marginal revenue curve has a steeper slope than the demand curve. The quantity at which MR equals MC will be lower than the competitive equilibrium quantity. Therefore, as a single price monopolist, the firm will produce a quantity that is lower than the competitive equilibrium quantity, leading to higher prices for consumers and reduced output in the market.

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1.) Solve the system of equations by method of elimination. Show all your work.
2x + 4y = 8
10x – 4y = 16

Answers

Answer:

x=2, y=1

Step-by-step explanation:

Add:

2x+4y=8

+10x-4y=16

------------------

12x=24

Divide by 12 on both sides:

x=2

Substitute x with 2 on either 2x+4y=8 or 10x-4y=16 it doesn't matter it will result in the same answer.

(I will do both of them to prove it but you only need to replace x with one of the equation)

For 2x+4y=8

2(2)+4y=8

4+4y=8

Subtract 4 on both sides

-4+4+4y=8-4

4y=4

Divide 4 on both sides:

y=1

For 10x-4y=16

10(2)-4y=16

20-4y=16

-20+20-4y=16-20

-4y=-4

Divide -4 on both sides:

y=1

The answer for both 2x + 4y = 8 and 10x – 4y = 16 are the same showing that it doesn't matter which equation you replace the number with it will still result you in the same answer

Hope this helps!

i need answer please​

i need answer please

Answers

Answer:

y = 3x + 2 (the second choice)

Step-by-step explanation:

perpendicular means the negative reciprocal of x

x is -1/3

so a perpendicular line would have

3x

number next to the x is the slope which is

m

then use the point slope form formula

y - y1 = m (x - x1) with (1,5)

m is the slope

y - 5 = 3 (x - 1)

y - 5 = 3x - 3

y = 3x + 2

Help me please I need help

Help me please I need help

Answers

Answer:

AGE should be 35

Step-by-step explanation:

same as DGB

Each year you sell 3,000 units of a product at a price of $29.99 each. The variable cost per unit is $18.72 and the carrying cost per unit is $1.43. You have been buying 250 units at a time. Your fixed cost of ordering is $30. What is the economic order quantity? A) 342 units B) 329 units OC) 367 units D) 355 units E) 338 units

Answers

The economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

To find the economic order quantity (EOQ), we can use the following formula:

EOQ = sqrt((2 * Annual Demand * Fixed Ordering Cost) / Carrying Cost per Unit)

Given information:

Annual Demand = 3,000 units

Fixed Ordering Cost = $30

Carrying Cost per Unit = $1.43

Substituting the values into the formula:

EOQ = sqrt((2 * 3,000 * 30) / 1.43)

EOQ = sqrt(180,000 / 1.43)

EOQ = sqrt(125,874.125)

EOQ ≈ 354.91

Rounding the EOQ to the nearest whole number, we get:

EOQ ≈ 355 units

Therefore, the economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

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Helpppp pleaseeeee math algebra

Helpppp pleaseeeee math algebra

Answers

Answer:

B is the correct answer

Step-by-step explanation:

Coefficient is - 5 and constant is 2

Answer:

\( - 5x + 2 \\ coefficient = - 5 \\ constant = 2 \\ thank \: you\)

a 15-foot statue casts a 20-foot shadow. how tall is a person who casts a 4-foot-long shadow? question 19 options: a) 5 feet b) 0.33 feet c) 3.75 feet d) 3 feet

Answers

Answer:

d

Step-by-step explanation:

the ratio of height : shadow of statue is 15 : 20 = 3 : 4

the ratio of height : shadow of person will also be 3 : 4

jet height of person be h , then

\(\frac{h}{4}\) = \(\frac{3}{4}\) ( cross- multiply )

4h = 12 ( divide both sides by 4 )

h = 3

then the person is 3 feet tall

Answer:

d) 3 feet

Step-by-step explanation:

One endpoint on GH is G(–7, 24). The midpoint is M(3, 4). Find the coordinates of the endpoint H. ( , )

Please help find endpoint H

Answers

Answer:

H (13, -16)

Step-by-step explanation:

\(\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}\)

Given:

Endpoint (x₁, y₁) = G (-7, 24)Endpoint (x₂, y₂) = H Midpoint = M (3, 4)

Substitute the given endpoint G and midpoint M into the midpoint formula:

\(\implies M=\left(\dfrac{x_H+x_G}{2},\dfrac{y_H+y_G}{2}\right)\)

\(\implies (3, 4)=\left(\dfrac{x_H-7}{2},\dfrac{y_H+24}{2}\right)\)

x-value of endpoint H:

\(\implies 3=\dfrac{x_H-7}{2}\)

\(\implies 6=x_H-7\)

\(\implies x_H=13\)

y-value of endpoint H:

\(\implies 4=\dfrac{y_H+24}{2}\)

\(\implies8=y_H+24\)

\(\implies y_H=-16\)

Therefore, the coordinates of endpoint H are:

(13, -16)

Answer: 13 -16

Step-by-step explanation: Edge 2023

PLEASE HELPPP ASAPP
I WILL MAKE YOU BRAINLIEST

Answers

The transformation that's illustrated in the diagram is translation.

What is transformation?

It should be noted that transformation simply means the manipulation of that moves a shape from a space to another.

In this case, the transformation that's illustrated in the diagram is translation. This is the sliding of try shape across certain number of spaces.

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PLEASE HELPPP ASAPP I WILL MAKE YOU BRAINLIEST

At the p.e. class, pupils help each other measure heights. the average height of jeremy and justin is 147 cm. jeremy is 24 cm taller than justin. what is the height of jeremy?

Answers

The height of Jeremy is 159 cm.

What is average?In layman's terms, an average is a single number chosen to represent a set of numbers, typically the sum of the numbers divided by the number of numbers in the set (the arithmetic mean). The average of the numbers 2, 3, 4, 7, and 9 (summed to 25) is 5, for example. An average could be another statistic, such as the median or mode, depending on the context.

To find the height of Jeremy:

The formula of average = sum of terms/number of termsLet, Justin, be x and Jeremy be x + 24

So,

147 = x + (x+24) / 22x + 24 = 147 × 22x + 24 = 2942x = 294 - 242x = 270x = 135

Then, Jeremy = 135 + 24 = 159 cm.

Therefore, the height of Jeremy is 159 cm.

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Pls help
this is so i have enough characters so blblblblblblloifjadsufhjakdefhncujhwnoerjs

Pls help this is so i have enough characters so blblblblblblloifjadsufhjakdefhncujhwnoerjs

Answers

Answer:

7 jshdbnskskslaksnbfbfje

Alex had $3.63 more than Rick. Together they had $27.93. How much money did both Alex and Rick have?

Answers

Alex has $15.78 and Rick has $12.15 money.

According to the question,

We have the following information:

Alex had $3.63 more than Rick. Together they had $27.93.

Let's take the money Rick has to be $x.

Now, we have the following expression for the money Alex has:

3.63+x

Now, we have:

x+3.63+x = 27.93

2x+3.63 = 27.93

Subtracting 3.63 from both the sides:

2x = 27.93-3.63

2x = 24.3

Dividing by 2 on both the sides:

x = 24.3/2

x = $12.15

So, Rick has $12.15.

Now, the money Alex has:

3.63+12.15

$15.78

Hence, Alex has $15.78 and Rick has $12.15 money.

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Let R be the region between the x-axis and the graph of y= 1
, for x≥1 (all the way out to [infinity] in the positive x direction) a. Show that the area of R is infinite. b. Use an improper integral to find the volume of the solid generated by rotating R around the x-axis.

Answers

a. To show that the area of region R is infinite, we can calculate the definite integral of the function y = 1 from x = 1 to x = ∞:

∫[1,∞] 1 dx.

Since this integral is improper, we need to take the limit as the upper bound approaches infinity:

lim (b→∞) ∫[1,b] 1 dx.

Evaluating the integral, we get:

lim (b→∞) [x] from 1 to b.

Taking the limit as b approaches infinity, we have:

lim (b→∞) (b - 1).

Since the limit diverges to infinity, the area of region R is infinite.

b. To find the volume of the solid generated by rotating region R around the x-axis, we can use an improper integral:

V = π ∫[1,∞] (1)^2 dx.

Again, since this integral is improper, we take the limit as the upper bound approaches infinity:

V = π lim (b→∞) ∫[1,b] (1)^2 dx.

Simplifying the integral, we get:

V = π lim (b→∞) [x] from 1 to b.

Taking the limit as b approaches infinity, we have:

V = π lim (b→∞) (b - 1).

Since the limit diverges to infinity, the volume of the solid generated by rotating region R around the x-axis is also infinite.

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Find the probability of at least one
failure in five trials of a binomial
experiment in which the probability of
success is 30%.
Round to the nearest tenth of a
percent.
[? ]%

Find the probability of at least onefailure in five trials of a binomialexperiment in which the probability

Answers

The answer is 0.99757 I believe
I think it’s correct... not sure tho. Hope it helps
Find the probability of at least onefailure in five trials of a binomialexperiment in which the probability

What is the value of x to the nearest degree?





22



63



77



68

What is the value of x to the nearest degree?22637768

Answers

Answer:

I need help on this to anyone please

Mr. Brackett works in factory with his two sons. He is really happy with his job because he gets to spend some time with his beloved sons not only at home but also at work! He is allowed to take a break every 140 minutes while his two sons are allowed to take breaks in 210 minutes and 280 minutes. How many minutes will they have to wait after their first break together to get together again?

Answers

Answer:

840 minutes

Step-by-step explanation:

We solve this question using the LCM Method

Find and list multiples of each number of minutes which is given in the quest as 140, 210 and 280 minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 140:

140, 280, 420, 560, 700, 840, 980, 1120

Multiples of 210:

210, 420, 630, 840, 1050, 1260

Multiples of 280:

280, 560, 840, 1120, 1400

Therefore,

LCM(140, 210, 280) = 840

Therefore, they would have to wait after their first break together to get together again after 840 minutes

a store sells 57 varieties of juice. juice is sold in cans and two cans of the same variety are identical. how many ways are there to select 6 cans of juice if there is no restriction on the number of each variety selected?

Answers

Answer:

Since there are 57 varieties of juice and we can choose any number of each variety, we have 57 choices for each of the 6 cans we need to select. Therefore, the total number of ways to select 6 cans of juice is:

57 x 57 x 57 x 57 x 57 x 57 = 57^6

This can be calculated as:

57^6 = (3 x 19)^6 = 3^6 x 19^6 = 729 x 47,287,681

So there are 729 x 47,287,681 = 34,369,561,449 ways to select 6 cans of juice.

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A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.

Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.

Answers

Answer:  The two correct equations are:

A) 1/8 (x+16) = 76/8 (where x=Food Only)

C) x = 60 (where x=Food Only)

Step-by-step explanation:

Pick TWO that describe the situation (not necessarily solve):

A) 1/8 (x+16) = 76/8 (where x=Food Only)

B) 1/8 (x+16) = 76 (where x=Food Only)

C) x = 60 (where x=Food Only)

D) x = 60 (where x=Food + TIP)

E) 8 (x+16) = 76 (where x=Food Only)

Check Equation for Option A:

1/8 (x+16) = 76/8

1/8x + 16/8 = 76/8

Multiply by 8:

x + 16 = 76

Subtract 64 from both sides:

x = 76 - 16

x = 60 (Correct x=Food Only)

Check Equation for Option C:

x=60 (Correct x=Food Only)

multiple choice question. with explanation needed.

multiple choice question. with explanation needed.

Answers

Answer: 4

Step-by-step explanation:

Jane and Nina live 480 miles apart. Wanting to surprise each other, they happened to start
driving straight toward each other at the same time and met 3 hours later. If Nina's speed
was 10 mph faster than Jane's speed, what was Jane's speed?

Answers

Answer:75 mph

Step-by-step explanation:

find the sum of 6 terms in the sequence 3,6,12, ...

Answers

ANSWER!
93

EXPLANATION!

The sequence is doubling every number, so it would continue as

3,6,12,24,48

Now you are finding the sum, so addition. All you need to do now is add all those numbers.

3+6+12+24+48=93

(1 point) suppose we want a 90% confidence interval for the average amount spent on books by freshmen in their first year at college. the amount spent has a normal distribution with standard deviation $33. (a) how large should the sample be if the margin of error is to be less than $4?

Answers

48630 is large should the sample be if the margin of error is to be less than $4 .

What does the term "margin of error" mean?

A margin of error is a statistical term that takes into account the discrepancy between the outcomes of a random survey sample and the expected results. Simply put, you can determine how unpredictable data and research results are by looking at the margin of error.

Margin of Error  = Z*Stdev/sqrt(n)

4 <= 0.90* 33/sqrt(n)

n >= (0.90* 33/2)^4 = 48630.17 OR 48630

So, n should be atleast 48630 so that margin of error is within $4

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The probability that juliana will take a particular type of dance class is shown in the chart below. She will definitely take either ballet or jazz, but not both. The probability that she will take jazz on wednesday night is 27%. If the probability that she will take ballet is 70%, what is the probability that she will take jazz on saturday morning?.

Answers

The probability that Juliana will take jazz on Saturday morning based on the decision tree given is 3%.

What is the probability that jazz is taken on Saturday morning?

The probability that jazz is taken is:

= 1 - Probability of ballet

= 1 - 70%

= 30%

The probability that if jazz is taken, it will be taken on Wednesday is:

= Probability that jazz is taken on Wednesday night / Probability that Jazz is taken

= 27% / 30%

= 90%

The probability that Jazz is taken on Saturday morning is therefore:

= Probability that jazz is taken x (1 - Probability of Wednesday night)

= 0.3 x ( 1 - 90%)

= 3%

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The probability that juliana will take a particular type of dance class is shown in the chart below.








4. In your own words describe the difference between the natural breaks, quantile, and equal interval classification schemes that can be used to make a thematic map. Refer to lecture and homework 8.

Answers

The natural breaks, quantile, and equal interval classification schemes are methods used to categorize data for the purpose of creating thematic maps. Each scheme has its own approach and considerations: Natural Breaks, Quantile, Equal Interval.

Natural Breaks (Jenks): This classification scheme aims to identify natural groupings or breakpoints in the data. It seeks to minimize the variance within each group while maximizing the variance between groups. Natural breaks are determined by analyzing the distribution of the data and identifying points where significant gaps or changes occur. This method is useful for data that exhibits distinct clusters or patterns.

Quantile (Equal Count): The quantile classification scheme divides the data into equal-sized classes based on the number of data values. It ensures that an equal number of observations fall into each class. This approach is beneficial when the goal is to have an equal representation of data points in each category. Quantiles are useful for data that is evenly distributed and when maintaining an equal sample size in each class is important.

Equal Interval: In the equal interval classification scheme, the range of the data is divided into equal intervals, and data values are assigned to the corresponding interval. This method is straightforward and creates classes of equal width. It is useful when the range of values is important to represent accurately. However, it may not account for data distribution or variations in density.

In summary, the natural breaks scheme focuses on identifying natural groupings, the quantile scheme ensures an equal representation of data in each class, and the equal interval scheme creates classes of equal width based on the range of values. The choice of classification scheme depends on the nature of the data and the desired representation in the thematic map.

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The x86-64 bit architecture only uses 48 of the 64 possible bits for representing virtual address space. true or false

Answers

False. The x86-64 bit architecture utilizes the full 64 bits for representing virtual address space, not just 48 bits.

The x86-64 bit architecture, also known as x64 or AMD64, extends the 32-bit x86 architecture to support 64-bit computing. One of the major advantages of this architecture is its ability to access a significantly larger virtual address space compared to its 32-bit predecessor. In x86-64, the virtual address space is indeed 64 bits wide, allowing for a theoretical capacity of 2^64 bytes, which is an enormous amount of memory.

The misconception that only 48 bits are used for representing the virtual address space may arise from the fact that current x86-64 implementations typically limit the practical addressable space to 48 bits. This is known as the "canonical address space" and allows for 256 terabytes of addressable memory. The remaining 16 bits are reserved for future expansion and are not utilized in most current systems. However, the full 64-bit address space is still available in the architecture and can be used if needed in future hardware implementations or specialized applications.

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Find a power series representation for \( f(x)=\frac{1}{1+4 x^{2}} \) and determine the interval of convergence

Answers

The interval of convergence is (-1/2 , 1/2) .

Given,

f(x) = 1/1+4x²

Here,

f(x) = 1/1+4x²

=Σ\((4x^{2} )^{n}\)

n varies from 0 to infinity .

| (4x²)| < 1

So,

f(x) = 1/1 +  4x² = Σ\((4x^{2} )^{n}\)

f(x) =  1/1 +  4x² = Σ \(4^{n}\) \(x^{2n}\)

with |x²| < 1/4

-1/2 < x < 1/2

Thus the interval of convergence is (-1/2 , 1/2) .

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Other Questions
How did his Buddhist beliefs shape the way he ruled The median household in the United States increased by a rate of 0.25% each year between 1980 and 1985. If the median household income was $42,050 in 1980, what was the median household income after 5 years? Round answer to the nearest whole dollar. List 18 health issues affecting academic performance the electronegativity value for mg is 1.2 and the value for o is 3.5. based on these values, what type of bond is expected for a compound formed between mg and o? Directions for your Reader Response paragraph:Complete a Reader Response critique for something you have encountered in 1984 (this could be a character, a ritual, a rule, a passage/statement). The following questions may be used as a starting point in creating your response. Do not answer all of these questions in your submitted response; however, you should consider how you would answer each one as a means to choose which question would elicit the strongest written discussion.Reflect on ways your experiences, attitudes, and values as a reader contribute to your understanding of 1984. In what ways are you making connections with the text?How much do the events that have occurred thus far in 1984 agree or clash with your view of the world, and what you consider right and wrong?How much were your views and opinions challenged or changed by this text?How well does the text address things that you, personally, care about and consider important to the world?Example: After reading Part One of George Orwells 1984, my perspective on the amount of privacy a citizen deserves is challenged. I have always believed that the use of surveillance cameras and devices that can track what a person is doing has only been used to help society. For example, cameras may be used to catch a criminal who broke into a store and stole multiple items, or maybe a phone can be tapped to catch a person cheating on a significant other. These seem like positive reasons to have a certain lack of privacy; however, this similar lack of privacy seen in 1984 certainly puts my thoughts about it to the test. 1984s society contains similar devices that track every persons move, but they are not used in a positive manner. The narrator states, ... (Orwell 18). It is here you would finish your response by explaining how that piece of evidence connects back to your claim. Take time to explain your rationale in the reasoning. A tour bus holds 40 people. It charges $7 per ticket. The function representing the total sales is f(x) = 7x, where x represents the number of tickets sold. What is the domain? A) x = all real numbersB) x = all non-negative integers 280 or belowx = all non-negative integers 40 or belowC) x < = 40D)x = all non-negative integers 40 or below Listed below are the numbers of doctor's office visits made by 8 families during the past year.14, 15, 2, 12, 6, 2, 4, 3Send data to calculator(a) What is the median of this data set? If your answer is notan integer, round your answer to one decimal place.(b) What is the mean of this data set? If your answer is not aninteger, round your answer to one decimal place.(c) How many modes does the data set have, and what aretheir values? Indicate the number of modes by clicking in theappropriate circle, and then indicate the value(s) of themode(s), if applicable.00zero modesO one mode:O two modes: and Sorry Im slow I need my mathematicians. If I make $11 and hour work 9 hours Sunday-Friday and get paid bi weekly how much would my check be? What do you need to earn on the final exam, if you want at least an 80 in your English class, if your averages and values are the following? use system 1Test average= 75projects= 84homework= 95class participation= 85 Please I really need help in 2-3 sentences, elaborate on the concept of man being a rational being. The degree to which an individual expresses sophistication and creativity when telling a story accurately reflects how ________ he or she is. Pls help me! ;-; 20 Points WIll mark Brainliest!!! Use the number line to represent the solution to 5x > 15Select a ray. Move the point on the ray to the correct place on the number line. What are three ways that managers can train staff on food safety?by demonstrating food prep tasksby evaluating employee language skillsby offering a class on calibrating thermometersby teaching standard operating proceduresby fining employees for incorrect practices Help please!!! Read the text below, and state one way that the Indian Removal Act of 1830 would affect many Native American Indians.-----------------------------------------------------------------------------------------------------------------------------An act to provide for an exchange of lands with the Indians residing in any of the states or territories, and for their removal west of the river Mississippi. Be it enacted by the Senate and House of Representatives of the United States of America, in Congress assembled, That it shall and may be lawful for the President of the United States to cause so much of any territory belonging to the United States, west of the river Mississippi, not included in any state or organized territory, and to which the Indian title has been extinguished [revoked], as he [the president] may judge necessary, to be divided into a suitable number of districts, for the reception of such tribes or nations of Indians as may choose to exchange the lands where they now reside, and remove there; and to cause each of said districts to be so described by natural or artificial marks, as to be easily distinguished from every other.-- Indian Removal Act of 1830 Pls help its due at 11:10 Researchers in the New England Centenarian study have found that ___________ contributes to living a long life. I'll give you 59 points + Brainliest. Which Exponentail expression represents The numerical expression 1/12 . 1/12 . 1/12 . 1/12?