Which expression is equivalent to sum of quantity negative three and one third times n plus one sixth end quantity plus quantity one and three sixths times n minus three twelfths end quantity?

A: negative twenty nine sixths times n minus one twelfth
B: negative twenty nine sixths times n plus one twelfth
C: negative eleven sixths times n minus one twelfth
D: negative eleven sixths times n plus five twelfths

(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.

Absolute advantage theory

In his book The Wealth of Nations, the 18th-century economist Adam Smith proposed the concept of absolute advantage to describe how countries could benefit from trade by specializing in producing and exporting the goods that they can make more successfully than other countries.

On the other hand, China, Thailand, and Vietnam create and export low-cost manufactured goods. These three countries benefit greatly from their much lower unit labor costs.

Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.

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Answer:

9882 hzjsjs en kIskoaisjdjksjssjjdjsjsjjzjsjsjzjNNKsk

For the given set of data, the value of mean is 83, median is 87 and standard deviation is 11.03

Standard deviation is a measurement of how evenly distributed a set of numbers is. Since the variance is the average of the squared deviations from the mean, it is the square root of the variance.

The mean score is - Sum of all scores / total number of scores

= 89 + 72 + 96 + 87 + 64 + 93 + 80 / 7

= 83

So the mean of given scores is 83

Median = central term

= 64, 72, 80, 87, 89, 93, 96

Median = 87

Mode of the data is - no mode as there are no recurring terms given

Standard deviation -

variance = (89 - 83)² +(72 - 83)² + (96 - 83)² + (87 - 83)² + (64 - 83)² + (93 - 83)² + (80 - 83)² / 7

= 121.71

standard deviation = √variance

⇒ standard deviation = 11.03

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Answer:

15 gum

Step-by-step explanation:

55-40 = 15

It will take Molly and Rob 54/15 hours to mop the warehouse.

For the given question;

Rob takes 6 hours for cleaning the ware house.

Let 'R' be the work done by rob.

Then, work done by Rob in 6 hours is 1/R = 1/6.

Similarly;

Let work by Molly is 'R'.

The, work done by Molly in 1 hour is 1/M = 1/9.

The total work done by both is 1 hour is;

1/R + 1/M = 1/6 + 1/9

Om simplification;

1/R + 1/M = 15/54.

Thus, the total time taken by doing the work is; 54/15 hours.

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the growth of a plant or the amount of money you'll have off a banks interest overtime

After the solution, we can conclude that (A) the slope of f(x) is higher.

Now that you have a function but can only evaluate it using a table, you can determine the slope using the following formula:

[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

Simply choose two points from the table to enter into the formula; in this example, we'll use points (4, 7) as our points 1 and our second point is (6,9).

This implies:

You just need to enter it into the formula:

Now that we know both slopes, you can see that g(x) has a slope of 1, while f(x) has a slope of 4, indicating that f(x) has a steeper slope than g(x).

Therefore, (A) f(x) has a greater slope.

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The complete question is given below:
Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope.

g(x) has a greater slope.

The slopes of f(x) and g(x) are the same.

The slope of g(x) is undefined.

Answer:

After the solution, we can conclude that (A) the slope of f(x) is higher.

Step-by-step explanation:

What is the slope?

A line's steepness can be determined by looking at its slope.

The slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The letter M stands for the slope of a function of the form y=Mx+C, so the slope of the function F(x) =4.

Now that you have a function but can only evaluate it using a table, you can determine the slope using the following formula:

Simply choose two points from the table to enter into the formula; in this example, we'll use points (4, 7) as our points 1 and our second point is (6,9).

This implies:

x¹ = 4y¹ = 7

x² = 6y² = 9

You just need to enter it into the formula:

m = 9-7/6-4

m = 2/2

m = 1

Now that we know both slopes, you can see that g(x) has a slope of 1, while f(x) has a slope of 4, indicating that f(x) has a steeper slope than g(x).

Therefore, (A) f(x) has a greater slope.

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The complete question is given below:

Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope.

g(x) has a greater slope.

The slopes of f(x) and g(x) are the same.

The slope of g(x) is undefined.

Answer:

ummm idek

Step-by-step explanation:

Answer:

he works 7 dollars an hour so 16 x 7 = 112 that's for a whole week a year would be 356 x 7 = 2,555 that's 1 whole year

Step-by-step explanation:

sorry if i got this wrong

Answer:

x=90, y= 130

Step-by-step explanation:

Brett will get paid $55.68 for travelling a total of 87 kilometers at an allowance of 54 cents per kilometer.

According to the International System of Units (SI), one kilometer is equal to 1,000 meters in American English. The United States and the United Kingdom are significant outliers, where the statute mile is the unit of measurement used to express distances between geographical locations on land.

One Kilometer is roughly equivalent to 0.621 miles.

Brett delivers produce for the farmer using his truck.

He gets paid a travel allowance of 64 cents per kilometer.

So to calculate his total allowance we multiply the allowance with the distance travelled.

Brett gets paid: $0.64×87=$55.68

Hence Brett gets paid $55.68. So the first option is correct.

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The ordered pair given are not inverse to each other because:

When two functions are inverse to each other substituting a value A in function say AA will give answer say X, substituting the answer X to the the other function say BB returns the value A.

Instance

say function AA, plug in A gives X

the inverse will be:

say function BB plug in X gives A

So, we have  f(x)=2x+5 and g(x)= x-5/2

plugging in say 5/2 in f(x) will give

f(x) = 2 * 5/2 + 5

f(x) = 5 + 5

f(x) = 10

We plug in 10 to g(x)= x-5/2

g(x) = 10 - 5/2

g(x)= 7/2

since 7/2 ≠ 5/2 the pair of functions are not inverse to each other

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Answer: Exponential decay

Explanation: The base of the actual exponential function, [tex]0.93^{x}[/tex], is less than 1, which means that the output will become smaller.

Answer:

[tex]{ \tt{ - 4(2w + 7)}} \\ = { \tt{( - 4 \times 2w) + ( - 4 \times 7)}} \\ = { \tt{ - 8w - 28}}[/tex]

Answer:

I don't know and your read in which class

38.7 hours would have passed until the trains are 580 miles apart

The given parameters are

Train 1 = 80 mph

Train 2 = 65 mph

The difference in the speeds of the trains is

d = 80mph - 65mph

Evaluate

d = 15mph

The distance moved is

Distance = 15 * t

At 580 miles apart, we have

15 * t = 580

Divide by 15

t = 38.7 hours

Hence, 38.7 hours would have passed until the trains are 580 miles apart

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There are 51 metal benches in the park

According to the question we have been given that

   Number of wooden benches = 24

We have to calculate number of metal benches.

Let the number metal benches be x.

The according to the question

     W = x - 27 where, W = wooden benches

Here , W = 24

Putting the required in the above equation for x we get

  24 = x - 27

x = 24 + 27

 x = 51

Hence the number of metal benches = 51 and we can see that 27 less of metal benches is 24 which is the number of wooden benches.

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The library has more volumes in El Paso.

The number sentence that shows the comparison is 1,232,185 < 1,277,003

Hence, El Paso; 1,232,185 < 1,277,003. Option D

This is further explained below.

Generally, A library is a collection of resources, such as books or other forms of media, that are made available for use rather than being kept only for the purpose of the show.

A library is a facility that makes resources available for physical or digital access, and it may exist either as a real place or as a virtual area, or both.

In conclusion, The library has more volumes in El Paso.

The number sentence that shows the comparison is 1,232,185 < 1,277,003

Hence, El Paso; 1,232,185 < 1,277,003.

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Answer: Pilot Error: 15.9%

Human Error: 3.8%

Weather: 19.3%

Mechanical Problems: 41.8%

Sabotage: 19.2%

Step-by-step explanation:

260+62+315+682+313=

322+997+313=

1319+313=1632 total crashes

Pilot error: 260/1632=

0.159=

0.159*1=

0.159*100%=15.9%

Human error: 62/1632=

0.03799=

0.038=

0.038*100%=3.8%

Weather: 315/1632=

0.193=

0.193*100%=19.3%

Mechanical Problems: 682/1632=

0.41789=

0.418=41.8%

Sabotage: 313/1632=

0.191789=

0.192=19.2%

Answer: 1/2  ([tex]\pi[/tex]) sin [tex]\pi[/tex] +  ∫ x cos [tex]\pi ^{2}[/tex] dx + c

               1/2 ([tex]\frac{\pi }{2}[/tex]) sin [tex]\frac{\pi }{2}[/tex] +  ∫ x cos [tex]\frac{\pi }{2} ^{2}[/tex] dx + c

Step-by-step explanation:

We can't just integrate straight away, so we try substitution.

While trying substitution, we observe that we could integrate cos([tex]x^{2}[/tex]) x dx

by substitution.

So, let's split the integrand and use integration by parts.

we can represent θ = x,

so, we can write,

                                = ∫[tex]x^{3} cos x^{2} dx[/tex]

                                = ∫ [tex]x^{2} cos (x^{2} )xdx[/tex]

We notice that we could rewrite this as ∫ u cos(u) 1/2 du, but we don't see how to integrate that, so we'll continue with parts for now.)

                            = ∫ [tex]x^{2} cos (x^{2} )xdx[/tex]

Let    u=[tex]x^{2}[/tex]         and      dv = [tex]cos(x^{2} )xdx[/tex]

Clearly     du= 2x dx,    and

we can integrate  dv by substitution to get.

                          = 1/2 sin [tex]x^{2}[/tex]

uv - ∫ vdu = 1/2 [tex]x^{2}[/tex] sin([tex]x^{2}[/tex]) - ∫ x sin ([tex]x^{2}[/tex]) dx

Integrate by substitution again to finish.

∫ [tex]x^{3} cos (x^{2}) dx[/tex] = 1/2 [tex]x^{2} sin x^{2}[/tex] + ∫ x cos [tex]x^{2}[/tex] dx + c

Then,

   x = √[tex]\pi[/tex]    and     √[tex]\frac{\pi }{2}[/tex]

 ∫ [tex]x^{3}[/tex] cos [tex]x^{2}[/tex] dx = 1/2 (√[tex]\pi ^{2}[/tex]) sin √[tex]\pi ^{2}[/tex] + ∫ x cos [tex]\pi ^{2}[/tex] dx + c

                        = 1/2 ([tex]\pi[/tex]) sin [tex]\pi[/tex] +  ∫ x cos [tex]\pi ^{2}[/tex] dx + c

∫  [tex]x^{3}[/tex] cos [tex]x^{2}[/tex] dx = 1/2 ([tex]\frac{\pi }{2}[/tex]) sin [tex]\frac{\pi }{2}[/tex] +  ∫ x cos [tex]\frac{\pi }{2} ^{2}[/tex] dx + c            

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Step-by-step explanation:

33 1/3 = (3×33 + 1)/3 = 100/3

51 = 100/3 × x

153 = 100x

x = 153/100 = 1.53

1.53 × 33 1/3 = 51

so, "that" number is 1.53.

The sentence can be written as:

x + 2 = 23

And the solution is x = 21.

Here we have the sentence:

" The sum of 2 and a number is 23."

Let's define x as the number, then we can write the equation:

x + 2 = 23

This is a simple linear equation, to solve this we need to subtract 2 in both sides of the equation, we will get:

x + 2 - 2 = 23 - 2

x = 21

We conclude that the number is 21.

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Given that:

To find:

So, according the question,

Let's assume, total no. of students in class is x.

So, we know that

Conditional probability P( A IIIrd | A Ist ) = [tex]\frac{P(III^{rd} \cap I^{st}) }{P(I^{st})}[/tex]

From question,

P( A IIIrd ∩ A Ist) = 12/x. and

P(A Ist) = 27/12.

Now, putting the values

So, we will get

              P( IIIrd | Ist ) = [tex]\frac{P(III^{rd} \cap I^{st}) }{P(I^{st})}[/tex]

              P( IIIrd | Ist ) = [tex]{(\frac{12}{x})}\div {(\frac{27}{x} )}[/tex]

                                  = [tex]\frac{12}{x} \times \frac{x}{27}[/tex]

                                  = 12/27

                                  = 4/9            

Answer:

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The equation that can be used to solve for the unknown number that Alex is thinking is 7x + 27 = 111

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the unknown number. The number is multiplied by 7 and the added with 27. The result is equal to 111. Hence:

7x + 27 = 111

The equation that can be used to solve for the unknown number that Alex is thinking is 7x + 27 = 111

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₋2.3 < ₋8/3 is the correct answer.

Given, we need to compare the terms.

₋8/3 = ₋2.67

therefore, 2.3 is less than 2.667

hence we form it as ₋2.3 < ₋2.67

we form: ₋2.3 < ₋8/3

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The instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.

The instantaneous rate of change is simply the change in the derivative value at a specific point.

Given the data in the question;

To determine the instantaneous rate of change of the function, first find the derivative of the function.

f(x) = −4x² − 3x + 1

Applying sum rule, with respect to x

d/dx[ -4x² ] + d/dx[ -3x ] + d/dx[ 1 ]

[ 2 × -4x¹ ] + [ 1 × -3x⁰ ] + d/dx[ 1 ]

[ -8x ] + [ -3 ] + d/dx[ 1 ]

-8x - 3 + d/dx[ 1 ]

Differentiate using constant rule

-8x - 3 + [ 0 ]

-8x - 3

f'(x) = -8x - 3

Next, plug x = -3 into the derivative and simplify.

f'(x) = -8x - 3

f'(-3) = -8(-3) - 3

f'(-3) = 24 - 3

f'(-3) = 21

Therefore, the instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.

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