The formula F(C) =
9
5
C + 32 calculates the temperature in degrees Fahrenheit, given a temperature in degrees Celsius.

You can find an equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit by finding the function’s

Answers

Answer 1

An equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit can be determine and it will be:  [tex]C = \frac{F - 32}{95}[/tex].

What is temperature?

The degree to which an object is hot or cold is measured by its temperature.

Formula to calculate temperature in degrees Fahrenheit:

F = 95C+32   --- (1)

The given equation (1) can be used to determine the equation to calculate the temperature in degrees Celsius for a given temperature in degrees Fahrenheit.

To determine equation for degrees Celsius following steps can be used:

Subtract 32 from both sides of the above equation,

F - 32 = 95C + 32 - 32

F - 32 = 95C

95C = F - 32

Divide both sides by 95

C = (F - 32)/ 95

Hence, by using some arithmetic operations, equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit can be determine and it will be:  [tex]C = \frac{F - 32}{95}[/tex].

To know more about temperature, click on the link

https://brainly.com/question/4658134

#SPJ1

Answer 2

Answer:

inverse

Step-by-step explanation:

ed 2023


Related Questions

w(t)-2t +3; Find w(0)

Answers

Answer:

3

Step-by-step explanation:

w(0) = 2(0) + 3

w(0) = 0 + 3

w(0) = 3

A book ha a ma 0. 65kg. What i the ma of each page,if there are 125 page and the book cover ha a ma of 400g

Answers

Using basic conversion rule and division, the answer is the weight of each page is 2g.

What do you mean by conversion?

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

What do you mean by unitary method?

The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

mass of book=0.65 kg = 650g

mass of cover=400g

number of pages=125

mass of pages= 650-400

=250

mass of each page= 250/125

=2g

To learn more about unit conversion visit:

https://brainly.com/question/10433377

#SPJ4

i need help asap pls help im on a time limit so pls help me

Answers

Answer:

What is even the question?

Step-by-step explanation:

A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $5 per square meter. Material for the sides costs $3 per square meter. Let w denote the width of the base. Find a function in the variable w giving the cost C (in dollars) of constructing the box.

Answers

A function in the variable w giving the cost C is 81.77 dollars.

What is meant by volume?

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers.

Surface area of an open lid container is:

A=2×sides+Base

So,

A=2(lh+wh)+lw

Cost of the base is $5 per square meter and the cost of the sides is $3 per square meter.

Now, the cost function is:

C=3×2(lh+wh)+5×lw

C=6(lh+wh)+51w

Here, the length is twice the width then,

l=2w

C=6(2wh+wh)+5×2w²

C=6(3wh)+10w²

C=18wh+10w²

And we know that the volume is,

V= lwh

2w²h=10

h=5/w²

C=18wh+10w²

C=18w×(5/w²)+10w²

C=(90/w)+w²

C'=(-90/w²)+20w

0=(-90/w)+20w

20w=(90/w²)

20w³=90

w³=45

w=1.65

C=(90/1.65)+10×1.65²

C=81.77

Therefore, a function in the variable w giving the cost C is 81.77 dollars.

To know more about volume, visit:

https://brainly.com/question/17615619

#SPJ4

Last week he wanted to earn money to buy the new iPhone37 your parents offered to pay five dollars for every chore you complete. your grandma heard about your efforts and paid you $55, leaving your current amount at $140. How many chores have you completed so far

Answers

Answer: 17 chores

Step-by-step explanation:

5x+55=140

5x=85

5x/5=85/5

x--->chores

x=17

which is more 2,005 pounds or 1 ton

Answers

Answer: 2005 pounds

Step-by-step explanation:

1 ton is 2000 pounds

Answer:

2,005 pounds

Step-by-step explanation:

Hope it helps!

10x+5=3x-23 how do u solve for x

Answers

Step 1: Subtract 5 from Both Sides

10x + 5 = 3x - 23

10x = 3x - 28

Step 2: Subtract 3x from Both Sides

10x = 3x - 28

7x = -28

Step 3: Divide Both Sides By 7

7x = -28

x = -4

Answer: x = -4

Hope this helps!

Answer:

-4

Step-by-step explanation:

Given,

10x+5=3x-23

10x-3x=(-23)-5

7x=-28

x=-28/7

x=-4

In the diagram, /\ABC \cong≅ /\DEF, write an equation and find the value of y, then write another question to find the value of x.

Answers

The values of x and y of the corresponding sides of the congruent triangles  are;

y = 3.8

x = 4.6

How to solve congruent triangles?

There are 5 main congruence postulates pertaining to congruent triangles and they are;

SSS - Side Side Side congruence postulate

SAS - Side Angle Side congruence postulate

ASA - Angle Side Angle congruence postulate

AAS - Angle Angle Side congruence postulate

HL - Hypotenuse Leg Congruence Postulate

Now, we are given the three sides of both triangles that are said to be congruent and this means that the three corresponding sides are congruent. Thus;

AB = DE;

10 = 3x - y    ------(1)

Similarly;

BC = EF

18.8 = 6y - 4   -----(2)

Add 4 to both sides in equation 2 to get;

22.8 = 6y

y = 22.8/6

y = 3.8

Thus;

10 = 3x - 3.8

3x = 13.8

x = 13.8/3

x = 4.6

Read more about Congruent Triangles at; https://brainly.com/question/1675117

#SPJ1

three people A, B, C, are to share 44,000usd among themselves in the ration a:b:c: respectively .if a = ½b c=⅓b how much will B receive more than C​

Answers

There are B receives an amount of $35,733.33 more than C.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Let "b" be the amount that B receives.

A receives 1/2 × b, and C receives 1/3 × b.

The total amount that A and C receive is 1/2 × b + 1/3 × b = 5/6 × b.

Since A, B, and C are to share $44,000 in the ratio a:b:c, the total amount that A and C receive is 5/6 × b = $44,000.

Solving this equation for b, we get:

b = $44,000 / (5/6)

b = $44,000 x (6/5)

Apply the multiplication operation, and we get

b = $53,600

Therefore, B receives $53,600, and C receives 1/3 x $53,600 = $17,866.67.

B receives $53,600 - $17,866.67 = $35,733.33 more than C.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ1

let nn be the least positive integer that is both 2222 percent less than one integer and 1616 percent greater than another integer. find the remainder when nn is divided by 10001000.

Answers

The smallest integers k and m that satisfy this are k=1450 and m=975, so N = 1131.

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

Aloud to yourself, read the issue.Make a Drawing.Ask yourself, "What am I looking for?"List the items that have been provided.Locate the key phrases.Solve.Verify your work.

If N is 22 percent less than one integer k, then

N = 78/100 k

= 38k/100

In N is 16 percent greater than another integer m, So

N = 116m / 100

= 29m/25.

Therefore, k is divisible by 50 and m is divisible by 25.

Setting these two equal, we have 38k/100 = 29m/25.Multiplying by $50$ on both sides, we get 39k = 58m

Hence, The smallest integers k and m that satisfy this are k=1450 and m=975, so N = 1131.

To know more about word problems check the below link:

https://brainly.com/question/13818690

#SPJ4

Need done asap !!
Point A :
Point B :

And what is the rate of change of y with respect to x for this line?


Rate of change :

Answers

PointA is (-8,4)
PointB is (8,-4)
Rate of change is -1/2

PLEASE HELPPPPP Determine the type of correlation represented in the scatter plot below.
The graph shows:

A. A perfect positive correlation
B A strong positive correlation
C. A weak postitive correlation
D. No correlation
E. A weak negative correlation
F. A strong negative correlation
G. A perfect negative correlation

Answers

The answer is weak negative correlation.

What is meant by correlation?Positive correlation: An increase or decrease in one variable causes an increase or decrease in the other when the values of the two variables move in the same direction.A drop or increase in one variable causes a decrease or increase in the other when the values of the two variables move in the opposite direction.No linear dependency or correlation exists.An illustration of how these connections appear in a graph is shown below:As a result, we can see from the provided image that there is a negative correlation between x and y, i.e., as x increases, y lowers. Additionally, the dispersion of the dots indicates a poor association.The degree to which two variables are linearly connected is expressed by the statistical concept of correlation (meaning they change together at a constant rate). It is a typical technique for outlining straightforward connections without stating cause and consequence.A statistical term known as correlation indicates the strength and direction of a relationship between two or more variables. It is expressed as a number. However, just because two variables are correlated does not necessarily imply that the change in one of the variables is what changed the values of the other.

To learn more about correlation refer to:

https://brainly.com/question/4219149

#SPJ1

What is a split infinitive and how do you fix it?

Answers

Split infinitives are grammatical structures where the words "to" and "infinitive" are separated. Move the phrase separating the infinitive from the split position to get rid of the split infinitive.

In the given question we have to explain, what is a split infinitive and how we fix it.

As we know that,

Split infinitives are grammatical structures in which an adverb or adverbial phrase separates the "to" and "infinitive" halves of what is more often known as the to-infinitive in modern linguistics.

A split infinitive is created when the word "to" and the infinitive verb are separated by an adverb. To eliminate the split infinitive, move the phrase that divides it from the split place.

To learn more about split infinitives link is here

brainly.com/question/8101640

#SPJ4

What is the sum of 2/8+3/9?????

Answers

Answer:42/72 simplify =7/ 12

Step-by-step explanation:

Natsumi paints walls for a living. She paints at a constant speed, and then she takes a constant amount of time to clean up. The table compares the total area natsumi paints (in square meters) and the time it takes natsumi to finish painting and cleaning up (in hours). Area (square meters) time (hours) 303030 222 454545 2. 752. 752, point, 75 606060 3. 53. 53, point, 5 how long does it take natsumi to paint 111 square meter?.

Answers

To paint 111 square meters of walls, it takes 6.05 hours. The result is obtained by using the speed of Natsumi to paint per hour.

How to calculate the time to paint the wall?

With a constant speed to paint the wall, Natsumi has done painting as the shown data in the table.

Area (square meters) - Time (hours)

30 square meters - 2 hours45 square meters - 2.75 hours60 square meters - 3.5 hours

This is a problem with comparison. Let's take two samples of the data!

45 - 30 = 15 square meters3.5 - 2.75 = 0.75 hours

From the data, we know that for every additional 15 square meters, the time needed increases by 0.75 hours.

Then, we can continue the table.

75 square meters - 4.25 hours90 square meters - 5 hours105 square meters - 5.75 hours111 square meters - x hours

The speed of Natsumi to paint per hour is

15/0.75 = 20 square meters/hour

The remain area

111 - 105 = 6 square meters

Time needed for the remain area is

6/20 = 0.3 hours

To paint 111 square meters of walls, it takes

x = 5.75 hours + 0.3 hours

x = 6.05 hours

Hence, time needed to finish painting and cleaning up 111 square meters of walls is 6.05 hours.

Learn more about a problem with comparison here:

https://brainly.com/question/29241531

#SPJ4

Monica would like to save up $10,000. She is going to make monthly deposits for 5 years into an account that will get 2.05% compounded monthly. How much does she need to deposit in the account to reach her goal?

Answers

The amount of money that Monica needs to deposit  each month in order to save up $10,000 in 5 years is; $91017.17865

How to solve compound interest problems?

The formula for compound interest is;

A = P (1 + r/n)^(nt)

where;

A is the total amount of money in the account after the interest has been compounded.

P is the initial deposit.

r is the interest rate.

n is the number of times the interest is compounded in a year

t is the number of years the money is deposited.

We are told that Monica would like to save up $10,000. Thus;

The initial deposit = $10,000.

The interest rate = 2.05%.

The number of times the interest is compounded per year; n = 12 (because the interest is compounded monthly),

The number of years the money is deposited; t = 5.

Plugging these values into the compound interest formula, we get:

A = 10000 (1 + (0.0205 / 12))^(12 * 5)

A = 10000 (1.001708333)^60

A = 10000 (1.101717865)

A = $101017.17865

Thus, the total amount of money in the account after 5 years will be $101017.17865.

Since Monica wants to save up $10,000, we can subtract this amount from the total amount in the account to find out how much she needs to deposit each month in order to reach her goal:

101017.17865 - 10000 = 91017.17865

Read more about compound interest at; https://brainly.com/question/24274034

#SPJ1

75 POINTS!!

Write a system of equations to model Monica's savings and Shanna's savings. Let x represent the number of weeks and y represent savings.

Type your response in the box

Answers

The system of equations to model Monica's and Shanna's savings is y = 10x + 50 for Monica and y = 15x + 100 for Shanna.

To model Monica's savings and Shanna's savings using a system of equations, we can use the variables x and y, where x represents the number of weeks and y represents the savings.

Let's start by defining the equation for Monica's savings. We'll use the equation y = mx + b, where m represents the savings per week and b represents the initial savings.

Next, let's define the equation for Shanna's savings. We'll use the same equation, y = mx + b, but with different values for m and b.

For example, let's say Monica saves $10 per week and initially has $50 in savings. The equation for Monica's savings would be y = 10x + 50.

Now, let's say Shanna saves $15 per week and initially has $100 in savings. The equation for Shanna's savings would be y = 15x + 100.

So, the system of equations to model Monica's and Shanna's savings would be:
Monica: y = 10x + 50
Shanna: y = 15x + 100

By using this system of equations, we can determine Monica's and Shanna's savings at any given number of weeks, x. Simply substitute the value of x into the equations and solve for y.

For more Questions on equations

https://brainly.com/question/29174899

#SPJ8

Solve the equation

5+16w=6-45​

Answers

Answer:

w = 6 / 21.

Step-by-step explanation:

To solve this equation, we first need to get all of the terms with the variable w on one side of the equation and all of the constants on the other side. To do this, we can use the distributive property to combine like terms on each side of the equation.

We can use the distributive property to combine the two terms on the left side of the equation to get 5 + 16w = 21w. This gives us the equation 21w = 6 - 45.

Next, we can add 45 to both sides of the equation to get 21w + 45 = 6 + 45. This simplifies to 21w + 45 = 51.

Finally, we can divide both sides of the equation by 21 to get the value of w. This gives us the equation w = (51 - 45) / 21 = 6 / 21.

Therefore, the solution to the equation is w = 6 / 21.

5+16w=6-45
5+16w=39
16w=39-5
16w=34
w=2.125

Hope it helps

Find the measure of angle 1

Answers

Answer:

∠1 = 47°

Step-by-step explanation:

angles in a triangle add up to 180°

∠1 + 63 + 70 = 180

∠1 + 133 = 180

∠1 = 180 - 133

∠1 = 47°

Kimo paid $24 for the shirt which was 75% of the regular price. What was the regular price?

Answers

Answer:

$32

Step-by-step explanation:

75/100=24/x

75x=100(24)

75x=2400

/75.   /75

x=32

hopes this helps please mark brainliest

Answer:

answer above is correct!

Step-by-step explanation:

25% of 32 is 8

32-8 is 24, aka 75% of the og price:)

What is the rule about splitting infinitives How would you rewrite the quote above?

Answers

The rule about splitting infinitives is avoid using a word between TO and the verb if at all possible. The correct quote is "To go boldly where no one has gone before."

In the given question, we have to explain the rule about splitting infinitives and how we rewrite the quote based on this rule

The given quote is

"To boldly go where no one has gone before."

Splitting infinitives is prohibited according to grammar rules. Avoid using a word between TO and the verb if at all possible. Split infinitives are improper grammatically, therefore avoid using them.

So, in order to change this quote, you should:

"To go boldly where no one has gone before."

To learn more about split infinitives link is here

brainly.com/question/8101640

#SPJ4

The right question is:

What is the rule about splitting infinitives? How would you rewrite the quote above based on this rule?

read this quote that comes from a popular television and movie franchise:

"To boldly go where no one has gone before."

Annie was given two pieces of information and must write the equation of a line. She knows the line crosses the y-axis at the point(0,6)and has a slope of7. What is the equation of the line?
A.y=7x+6
B.y=7x−6
C.y=6x+7
D.y=−6x+7

Answers

y-y1 = m(x -x1)
y - 6 = 7(x-0)
y - 6 = 7x
y = 7x +6

The answer is A

Please help I will give brainlest

Answers

Answer: a = 9.3

Hope this helps you!

The rules of a game allow a team to score either 2 points or 5 points, depending on the nature of the scoring play. If the final score between two teams was 34 to 29, and there were 18 scoring plays altogether, how many 5-point plays were there?

(Use only the digits 0 – 9 to enter a number.)

Answers

Answer:

9

Step-by-step explanation:

for this we make systems of equations

x= 2 points plays

y= 5 points play

2x+5y=34+29

2x+5y=63

x+y=18

  -y.  -y

x=18-y

2(18-y)+5y=63

36-2y+5y=63

16+3y=63

-36.    -36

3y=27

/3.  /3

y=9

hopes this helps

what needs to be known to determine the critical values for an independent-samples t test?

Answers

Total degree of freedom should be known to determine the critical values for an independent sample t test.

The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the number of items in the data sample.

An independent t-test must be performed, and the following is required: a single categorical variable with two levels and groups that is independent. a single ongoing dependent variable.

For instance, the number of degrees of freedom to be employed in computations would be n - 1 if the sample size on a chi-square test was 'n'. to figure out the degrees of freedom for an N=9 sample size. 9 less 1 equals 8 (df=9-1=8).

Hence we get the required answer.

Learn more about Sample t test here:

brainly.com/question/6501190

#SPJ4

Consider the function y = 3 | x - 1 | +3 under the restricted domain 0 ≤ x ≤ 3. The range is a ≤ y ≤b.

Answers

The range of the given function y = 3 | x - 1 | +3 for the domain 0 ≤ x ≤ 3 will be [3,9].

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

The given function has been drawn below.

The minimum value of the function in interval 0 ≤ x ≤ 3 is 3 while the maximum value is 9.

The range will be [3,9].

Hence "For the domain 0 x 3, the provided function, y = 3 | x - 1 | +3, will have a range of [3,9].".

For more details about the range and domain of the function,

brainly.com/question/28135761

#SPJ1

What are the vertex and range of y = |x − 5| 4? (5, 4); −[infinity] < y < [infinity] (5, 4); 4 ≤ y < [infinity] (−5, 4); −[infinity] < y < [infinity] (−5, 4); 4 ≤ y < [infinity]

Answers

The range and the vertex is   4 ≤ y < [infinity] and  (5, 4).

To find the vertex, we can take the derivative of the function and set it equal to 0:

y' = |x − 5|' = 0

=> x − 5 = 0

=>  x = 5

Then, we can plug x = 5 into the original equation to find the y-value at the vertex:  

y = |x − 5| = |5 − 5| = |0| = 0

So, the vertex of y = |x − 5| is (5, 4).

To find the range, we need to consider the range of the absolute value function. The range of the absolute value function is:

−[infinity] < y < [infinity]. So, the range of y = |x − 5| is also −[infinity] < y < [infinity] (or 4 ≤ y < [infinity]).

To know more about the range refer to  the link   brainly.com/question/28135761

#SPJ4

6.652 rounded to the nearest tenth

Answers

Answer: 6.7

Step-by-step explanation:

6.7

The tenths place is the number to the right of the decimal. If the number to the right of the tenths is equal to or grater to 5 it will round the tenths place up one digit.

What is the slope of the line passing through the points (- 2 3 and 2 7?

Answers

The slope of the line passing through (-2, 3) and (2, 7) will be equal to 1.

Slope of the line is needed for the equation of the line and it is the measure of the degree of steepness of any given curve and If there are  two points (x₁, y₁) and (x₂, y₂) and we need the slope then the formula of finding the slope between these points is expressed as

m = (y₂ - y₁)/(x₂ - x₁)

where m is the slope between the points, (y₂ - y₁) is difference between the y coordinates and (x₂ - x₁) is the difference between the x coordinates.

Now the points given are (-2, 3) and (2, 7), so the difference between the coordinates is expressed as

Now the slope will be equal to

m = (7 - 3)/(2 + 2)

m = 4/4

m = 1

Learn more about Slope at:

brainly.com/question/1734258

#SPJ4

the mean of a distribution of data is 3.56 . if the distribution is symmetric , what is the median ?

Answers

Since, the mean of distribution of data is 3.56 then the median is also 3.56 because the distribution is symmetric.

Symmetric Distribution:

A symmetric distribution is when the values ​​of a variable occur with regular frequency, often the mean, median, and mode all occurring at the same point. A line in the middle of the chart indicates that the two planes are mirror images of each other.

In graphical form, a symmetric distribution is displayed as a normal distribution (that is, a bell curve). Symmetric distribution is a central concept in technical trading as it assumes that the price movements of an asset over time follow a symmetric distribution curve. A symmetric distribution can be contrasted with an asymmetric distribution.

Relation between Median and Mean

A distribution always has a median and a mode, but not always a mean. Consider the Cauchy distribution. No average exists. Modes are always present, but may not be unique. This means that you can get a distribution that is not unimodal (that is, multimodal).

So, if we have a symmetric distribution with a mean and the distribution is unimodal, we can say:

                          Mean = Median = Mode

Learn more about Mean:

https://brainly.com/question/23631778

#SPJ4

Other Questions
what is the concentration of a solution formed by diluting 25.0 ml of a 3.2 m nacl solution to 135.0 ml? Jocelyn has a candy box with chocolates and jelly beans. The ratio of chocolates to jelly beans is 8:3. Jocelyn has 24 chocolates in the box. How many jelly beans does she have? The function f(x) is graphed below. What is true about the graph on the interval from x= to x=a? the elephants at the norfolk zoo are fed 1/2 a barrel of corn each day. the buffalo are fed 7/10 as much corn as the elephants. how many barrels of corn are the buffalo fed each day? Which command form best completes this sentence?Ana, t tienes que limpiar la cocina. No _______ los cubiertos debajo de la mesa, por favor! A. pon B. ponga C. pongas D. pones how did the people of ancient germania manage and irrigat thier fields and gardens during the roman empire Mr Pollock, theres been a good deal of controversy and a great many comments have been made regarding your method of painting. Is there something youd like to tell us about that ? hemophilia a is an x-linked recessive disorder characterized by lack of a functional factor viii, a protein involved in blood clotting. in one population, the frequency of the normal allele, x 1, is 0.98 and the frequency of the mutant allele that causes hemophilia a, x 2, is 0.02. What is the ultimate goal of the speaker in his speech? in the figure below measaure of angle 1 is 36. find angle 2,3, and 4 Jasmine is a healthy girl who is playing outside. her internal body temperature rises to 100.4f (38c). how does her body most likely respond to help her return to homeostasis? a. by shivering b. by sweating c. by producing goosebumps d. by making hair stand up What is the speaker trying to accomplish through his speech? New Labs just announced that it has received a patent for a product that will eliminate all flu viruses. This news is better than the market expected one month ago. Which one of the following reactions to this announcement indicates the market for New Labs stock is efficient?A. The price of New Labs stock increases rapidly and then settles back to its pre-announcement level.B. The price of New Labs stock remains unchanged.C. All stocks quickly increase in value and then all but New Labs stock fall back to their original values.D. The price of New Labs stock increases rapidly to a higher price and then remains at that price. True or False: It is possible that efforts to decrease translation exposure may result in an increase in transaction exposure. An example signal statement isa. Keep in mind. C. Both of theseb. I want you to understand. D. None of these please select the best answer from the choices providedabcd. How do you solve an equation with x and y in one? The Good of the people must be the great purpose of government. By the laws of nature and of reason, the governors are invested with power to that end. And the greatest good of the people is liberty. It is to the state what health is to the individual.Denis Diderot and Jean dAlembert, French philosophes, Government, article in the Encyclopedia, or a Systematic Dictionary of the Sciences, Arts, and Crafts, published between 1751 and 1772In your response, be sure to address all parts of the question. Use complete sentences; an outline or bulleted list alone is not acceptable.a) Identify the historical situation reflected in the passage.b) Explain one way in which the authors point of view shaped their definition of government.c) Explain one historical development illustrated by the passage. In the CapGemini IOT Industry 4.0 case, what dimension focuses on the way that Smart Products areequipped with computing power that enables autonomous decision-making and self-learning processesbased on algorithms? Connected O Intelligent O Responsive O Aware a gas cylinder contains 1.0 mole of helium at a temperature of 20 degrees celsius. a second cylinder contains 1.0 mole of neon at 20 degrees celsius. the helium atoms are moving with a higher average speed, but the gas pressure in the two containers is the same. explain how this is possible. Which relation is a function of x