integral of the vector field , where is the line from point to point

Answers

Answer 1

The integral of a vector field along a curve can be calculated using the concept of line integrals.

The line integral of a vector field F along a curve C is defined as the sum of the dot product of the vector field and the infinitesimal change in position along the curve.

In the case of the vector field F(x,y) = i + xj, the line integral from point A to point B can be calculated as follows:

∫_C F(x,y) • dr = ∫_A^B (i + xj) • dr = ∫_A^B i dx + xj dx

Here, dr represents the infinitesimal change in position along the curve C, and the integrand represents the dot product of the vector field and the change in position.

The line integral can be evaluated using numerical methods or using Green's theorem, which relates the line integral of a vector field along a closed curve to the double integral of the curl of the field over the region enclosed by the curve.

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Related Questions

Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3 kid's meal for his little brother. Charlie has $27. How much can he spend on each sandwich if they are all the same price? Choose two answers: one for the inequality that models this situation and one for the correct answer.
A. Answer:$7 or less
B. Answer: $4 or less
C. Inequality: 3x+6>=27
D. Inequality: 3x+6<27
E. Inequality:6x+3<=27
F. Inequality:6x+3>=27

Answers

Answer:

then he'll get a bagel 2 pieced sanwich with a side of E

Step-by-step explanation:

Question Down below (PLS HELP FOR 50 BRAINLIST)

Answers

Answer:

there's nothing there. If you put the question there, I could help.

With carbon dioxide, what phase change takes place when the temperature
increases from -40°C to 0°C at 10 atm?
Pressure (atm)
20-
15-
10-
5-
0-
Carbon Dioxide Phase Diagram
Melting
point
Solid
-100
Boiling
point
Liquid
Gas-
887
Temperature (°C)
20

Answers

The phase change takes place when the temperature increases from -40°C to 0°C at 10 atm is solid-liquid change phase(melting).

What is Phase- change?

Phase change refers to the process of a substance changing from one physical state to another, such as solid to liquid, liquid to gas, or solid to gas. These changes occur as a result of changes in temperature or pressure, and are characterized by changes in the physical properties of the substance, such as its volume, density, and viscosity.

Phase changes are classified into two types: physical and chemical. Physical phase changes involve a change in the physical state of a substance without any change in its chemical composition, such as the melting of ice to liquid water or the boiling of water to steam. Chemical phase changes, on the other hand, involve a change in the chemical composition of a substance, such as the formation of a chemical compound through a reaction.

The diagram you provided shows the phase diagram of carbon dioxide at a pressure of 10 atm. It shows that the melting point of solid carbon dioxide is -100°C and the boiling point of liquid carbon dioxide is -87°C.

When the temperature increases from -40°C to 0°C, the carbon dioxide is in the solid state at -40°C. As the temperature increases, it will reach the melting point of -100°C, causing a phase change from solid to liquid.

Therefore, the phase change that takes place when the temperature increases from -40°C to 0°C at 10 atm is a solid-liquid phase change, also known as melting.

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.A number increased by negative eight is equal to fourteen.Which equation could be used to find the number?

n + 8 = 14
n + (-8) = 14
8 - n = 14

Answers

Answer:

the second one. n + (-8) = 14.

Step-by-step explanation:

5 students are choose at random and there is 4 options (A, B, C and D)


1. What is the probability none choose option B

2. What is the probability all choose option A

3. What is the probability 3 students choose option C

Answers

The probability none choose option is [tex]\frac{243}{1024}[/tex]  , the probability all choose option A is [tex]\frac{1}{1024}[/tex] , the probability 3 students choose option C is [tex]\frac{15}{256}[/tex]  

What do you mean by Probability?

Probability is a branch of mathematics that deals with the likelihood or chance of an event happening. It is a number between 0 and 1 that indicates the likelihood of an event occurring, with 0 meaning that an event is impossible and 1 meaning that an event is certain to occur.

Probability is used to model and make predictions about real-world situations such as the outcome of a coin flip, the results of a survey, or the success of a marketing campaign. It is also used in many fields including statistics, finance, engineering, and sciences to make decisions based on uncertain data.

Probabilities can be calculated using various methods, such as counting, Bayes' theorem, and simulation. In general, the probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

To find the probability that none of the 5 students choose option B, we need to find the probability that each student chooses one of the other 3 options (A, C, or D) and then multiply these probabilities. Since each student has the same choices, the probability that each student chooses one of the other options is 3/4. So, the probability that none of the 5 students choose option B is (3/4)^5 = 243/1024.To find the probability that all 5 students choose option A, we need to find the probability that each student chooses option A and then multiply these probabilities. The probability that each student chooses option A is 1/4. So, the probability that all 5 students choose option A is (1/4)^5 = 1/1024.To find the probability that 3 students choose option C, we can use combinations. There are C(5,3) = 10 ways to choose 3 students out of 5. For each of these combinations, the probability that the chosen 3 students choose option C is (1/4)^3, and the probability that the remaining 2 students choose options other than C is (3/4)^2. So, the total probability is 10 * (1/4)^3 * (3/4)^2 = 15/256.

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Ms. Jackson wants to rent an oversized truck for a week. It will cost the weekly fee plus ​$0.20 per mile driven. Let m=the number of miles Ms. Jackson drives during the week.

Answers

Answer:

ms Jackson let m=the number of miles ms

How did you convert 3 feet into meters?

Answers

By multiplying the unit by 0.304, you can convert feet to meters.

How do you change feet to meters?

In order to convert between feet and metres, basic math is needed. You can change the unit from feet to metres by multiplying by 0.304. As a result, you would need to multiply 5 by 0.304 in order to convert 5 feet to metres, for example.

Therefore, 5 feet is equal to 5 times 0.304, or 1.52 metres.

One can change measurement units from feet to metres by using the simple calculation Meter = Feet X 0.3048.

Below are some examples of feet-to-meter conversions.

Meter in feet

10 feet are equivalent to 10 * 0.305.

3.048 Meter

20 feet are equivalent to 20*0.305.

6.096 Meter

50 feet are equivalent to 50 * 0.305.

15.24 Meter

75 feet are equivalent to 75 * 0.305.

22.86 Meter

100 feet is equivalent to 100 * 0.305 30.48 meters.

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The distance traveled (in feet) is proportional
to the number of seconds. Find the values of
x, y, and z.

Answers

Answer:

te56

Step-by-step explanation:

y8888888755555555555555578

the outbound trip of a bus was made at 24mi/h, while the return trip was made at 30mi/h. find the one way distance fi the total running time was 4.5 hour.

Answers

With a running time of 4.5 hours and speeds of 24 mph and 30 mph, respectively, the bus covered a one-way distance of 72 miles.

With a running time of 4.5 hours and speeds of 24 mph outgoing and 30 mph inbound, the bus covered a one-way distance of 72 miles.

As the outgoing and inbound timings were equal, the computation was performed by multiplying the outbound trip's speed by the entire running time, and then dividing the result by two. Therefore, 108 miles are equal to 24 mph times 4.5 hours. The one-way distance is equal to 72 miles when you divide this result in half. When both directions' speeds are known, this calculation can be used to determine the overall distance of a round trip.

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38 divided 9=4 remalnder 2

Answers

The answer to 38 divided by 9 calculated using Long Division is 4 and remainder is 2

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given expression ,

38 / 9 .

Step 1:

Start by setting it up with the divisor 9 on the left side and the dividend 38 on the right side like this:

           

Step 2:

The divisor (9) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:

Step 3:

Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.

Step 5:

Move down the 2nd digit of the dividend (8) like this:

Step 6:

The divisor (9) goes into the bottom number (38), 4 time(s). Therefore, put 4 on top:

Step 7:

Multiply the divisor by the result in the previous step (9 x 4 = 36) and write that answer at the bottom:

Step 8:

Subtract the result in the previous step from the number written above it. (38 - 36 = 2) and write the answer at the bottom.

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, The answer to 38 divided by 9 calculated using Long Division is 4 and remainder is 2

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Find x and y.
PLEASE HELP

Answers

Answer:

Step-by-step explanation:

If a line is parallel to a side of a triangle, then the intersected sides are divided proportionally

4/2=y/3

2=y/3

y=2*3 = 6

next,

If the angles of one triangle are equal to the angles of another triangle, then the triangles are said to be equiangular.

(4+2)/4=6/x

6/4=6/x

x=4

Translate this sentence into an equation.
The product of Goran's age and 3 is 36.
Use the variable g to represent Goran's age.

Answers

Answer:

3 x g = 36

Step-by-step explanation:

3 multiplied by Gordon's age equals 36.

In the figure below, AABC AYXZ.
Find sin X, tan X, and cosX.
Round your answers to the nearest hundredth.
B
12
17.4
12.6
Y
N
X

Answers

sin X = 0.72, cos X = 0.69, tan X = 1.05

What do you mean by Pythagorean Theorem?

The Pythagorean Theorem is a fundamental mathematical principle named after the ancient Greek mathematician Pythagoras. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The theorem can be expressed mathematically as c² = a² + b², where a and b are the lengths of the two shorter sides of the triangle and c is the length of the hypotenuse. The theorem can be used to find the length of a missing side of a right triangle if the lengths of the other two sides are known.

To find sin X, cos X, and tan X in triangle ABC, we need to first find the measures of the other angles in the triangle. Since angle C is a right angle, we can use the Pythagorean theorem to find the lengths of the sides adjacent to angle X (i.e., sides AC and BC).

AC² + BC² = AB²

(12.6)² + (12)² = (17.4)²

159.36 + 144 = 304.76

303.36 = 304.76

Since AC² + BC² = AB², we can conclude that triangle ABC is a right triangle, with angle X as the acute angle opposite side AC.

Using the definitions of sine, cosine, and tangent, we can find the values of sin X, cos X, and tan X:

sin X = [tex]\frac{AC}{AB}[/tex] = 12.6 / 17.4 = 0.72

cos X = [tex]\frac{BC}{AB}[/tex] = 12 / 17.4 = 0.69

tan X = [tex]\frac{AC}{BC}[/tex]= 12.6 / 12 = 1.05

Rounding to the nearest hundredth, the values are:

sin X = 0.72

cos X = 0.69

tan X = 1.05

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Your scores on the last 3 bowling games are 99,92, and 115. Write and solve an inequality to find the score you need in the next game to have a mean score of at least 100.

Answers

Answer:

Score in 4th game = 94

Step-by-step explanation:

The mean is the average of all the data points, which means we divide the sum of all the points by the total number of points.

Letting s represent the score in the 4th game, we can use the following equation to find the score needed to end up with a mean score of 100:

[tex]\frac{99+92+115+s}{4}=100\\ \frac{306+s}{4}=100\\ 306+s=400\\s=94[/tex]

Mary i going to divide her ticker collection among four friend he ha five pack of 20 ticker how many ticker will each friend receive

Answers

Each friend will receive 25 sticker from Mary's collection

What are algebraic operations?

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Number of friends = 4Number of stickers per pack = 20Number of pack = 5Sticker per friend = ?

Calculating the number of sticker per friend:

Sticker per friend = (Number of stickers per pack * Number of pack) / Number of friends

Sticker per friend = (20*5)/4

Sticker per friend = 100/4

Sticker per friend = 25

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Correctly written question:

Mary is going to divide her sticker collection among four friends she has five packs of 20 sticker how many stickers will each friend receive?

3x^2+3y^2+12x-9y+12=0 what is the diameter of the circle

Answers

I hope the picture helps you!!

What is the slope of the linear relationship?

- 5/2
5/2
-2/5
2/5

Answers

The slope of the linear relationship is -5/2.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope of a line with two points (x, y) and (x', y') on the line is,

Slope = (y' - y) / (x' - x)

Consider any two points from the line.

Let the points be (0, 3) and (2, -2).

Slope = (-2 - 3) / (2 - 0) = -5/2

Hence the slope of the given graphed line is -5/2.

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perform the indicated operations, given c = −4, a = 1 6 2 0 1 −1 , and b = 1 2 −1 6 . c(ba)

Answers

The value of give operation is =[[0,-4,-28][20.4.-32]]

A rectangular or square array of numbers or variables that are arranged in rows and columns is known as a matrix in mathematics. Elements or entries are the names for individual things in a matrix.

The application of matrix plays a major role in Mathematics, as well as in other fields. It helps in solving linear equations. Matrices are extremely valuable objects that can be found in a wide range of applications. The application of matrices in mathematics is used in a wide range of scientific fields as well as mathematical areas. Engineering mathematics is used in almost every aspect of our lives. In this article, we are going to learn what is a matrix, different matrix operations and the application of matrices in detail.

Some of the matrix's rows and columns define how big it is. A matrix of "m" rows and "n" columns is written as "m*n," where "m" and "n" are the dimensions of the matrix.

We have, c=-4

[tex]A=\left[\begin{array}{ccc}2&1&1\\-1&0&3\\\end{array}\right] \\\\and , B=\left[\begin{array}{ccc}-1&0\\3&1\\\end{array}\right][/tex]

first, compute the cA.

[tex]=(-4)\left[\begin{array}{ccc}2&1&1\\-1&0&3\\\end{array}\right] \\\\cA=\left[\begin{array}{ccc}-8&-4&-4\\4&0&-12\\\end{array}\right] \\\\Now, BcA=\left[\begin{array}{ccc}1&2\\-1&3\\\end{array}\right] \left[\begin{array}{ccc}-8&-4&-4\\4&0&-12\\\end{array}\right] \\\\\\=\left[\begin{array}{ccc}0&-4&-28\\20&4&-32\\\end{array}\right][/tex]

The complete question is-

Perform the indicated operation,c=-4,

[tex]A=\left[\begin{array}{ccc}2&1&1\\-1&0&3\\\end{array}\right] \\\\and , B=\left[\begin{array}{ccc}-1&0\\3&1\\\end{array}\right][/tex]

B(cA)=?

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9. What is the length of QR?

Answers

Answer:

48

Step-by-step explanation:

definition of very similar triangles hope the answer is correct

There are 14 sixth graders, 29 seventh graders,
and 37 eighth graders in the musical at
Canon Middle School. If 65% of the students
in the musical are girls, how many are girls?

Answers

Answer:

52 girls

Step-by-step explanation:

You have to find the total number of students first which is 80. Then you figure out 65% of 80. You can write a proportion which is 65/100 = x/80, you then solve for x by using the butterfly method.

So,

65/100 = x/80

5200 = 100x

divide by 100 to isolate x

52 out of the 80 students are girls

the blue figure is a dilation image of the black figure. the labeled point is the center of dilation. tel whether the dilation is an enlargement or a reduction. then find the scale factor of the dilation.

Answers

The dilation is am enlargement or a reduction then the scale factor be 2.

What is meant by scale factor?

The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).

To scale shapes in various dimensions, utilize the scale factor. Different geometrical shapes, both in two- and three-dimensions, are covered in geometry classes. The scale factor is a way to compare figures that appear to be similar but actually have distinct scales or measurements.

A scale factor is the amount by which a thing is multiplied to produce a separate object that has the same appearance but is a different size. It creates a precise copy that is just bigger or smaller than the original. Scale Factor multiplies the image or object in the same way as a copy machine would enlarge or reduce it.

Taking two points and dividing them would yield the factor.

For instance, if the point was between x = 2 and x = 4, their division would be 4/2 = 2, as shown on the right side.

Now, if we split the points x = -1 and x = -2 on the left side, we get -2/-1 = 2.

Therefore, the scale factor be 2.

The complete question is;

22. the blue figure is a dilation image of the black figure. The center of the dilation is O. Tell whether the dilation is am enlargement or a reduction. Then find the scale factor

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use the definition for ai to answer the questions. for i ∈ z , ai is the set of all positive integer multiples of i. (a) describe the following set using set builder notation:

Answers

This set contains all positive integer multiples of 5, but does not include 0 or negative integers.

The set ⋂i=15Ai is the set of all positive integer multiples of the least common multiple (LCM) of 1, 5.

To find the LCM of 1 and 5, we multiply them together: LCM(1,5) = 1 * 5 = 5.

Therefore, the set ⋂i=15Ai is the set of all positive integer multiples of 5: {5, 10, 15, 20, ...}.

Using set builder notation, this set can be written as:

⋂i=15Ai = {x ∈ Z | x is a multiple of 5} = {5x | x ∈ Z and x > 0}.

Therefore, This set contains all positive integer multiples of 5, but does not include 0 or negative integers.

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Solve for the given variable. 2m + 5m = 42

Answers

Answer:

m = 6

Step-by-step explanation:

first combine like terms

so 7m = 42

then isolate the variable by dividing both sides by 7

m = 42/7

m = 6

PLEASE HELP MEEE!!! WILL GIVE BRAINLIEST!!

Describe exactly what type of transformation has been applied to triangle QRS to triangle Q'R'S'

Answers

A rotation of 90 degrees and translation of 5 degrees down I think

Which is the approximate measure of angle acb? 31.0° 36.9° 53.1° 59.0°

Answers

Answer: the answer is

53.1

Given the arithmetic sequence 10, 15, 20, 25,... find the a15.

Answers

Answer

a15 is equal to 75

Find the symmetric equations of the line that passes through the point P(−2,1,0) and is parallel to the vector v⃗ =⟨0,2,−3⟩ .

Answers

The symmetric equations of the line that passed through the given point and parallel to the given vector are x+2=0 , 3y=3-2z

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here:  The co-ordinate P(-2,1,0) and parallel vector with components (0,2,-3)

The parametric equations of the line through the point  P(-2,1,0)  and parallel to the vector: u= (0,2,-3)are:

{x = -2

{y = 1+2t

{z = -3t

In order to get the symmetric form we derive t from the third and replace it into the second

t=-z/3⇒ y=1+2×(-z/3)

3y=3-2z

The symmetric form is

x+2=0 , 3y=3-2z

Hence, The symmetric equations of the line that passed through the given point and parallel to the given vector are x+2=0 , 3y=3-2z

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In your own words, describe four ways in which errors in statistical data occur.

Answers

Four ways errors can occur in statistical data are:

Measurement errorSampling errorData entry errorModel error.

How Errors Can Occur in Statistical Data?

Errors in statistical data can occur in several ways, including:

Measurement error: This happens when the data collected is not accurate, such as using an incorrect instrument or using the instrument improperly.

Sampling error: This occurs when a sample of the population is used to represent the entire population, and the sample is not representative or randomly selected.

Data entry error: This happens when data is recorded incorrectly or transcribed inaccurately, such as mistyping a number or mixing up entries.

Model error: This occurs when the model used to analyze the data is incorrect or does not fit the data well, leading to incorrect or misleading results.

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Mary is planning to buy a new pair of jeans. They are on sale. The total cost of the jeans including tax is $17.00 Her mother gave her $14.50. How much more money does Martia need to purchase the jeans?

Answers

Mary need $2.5 more money to buy her jeans.

What is subtraction?

Subtraction is simply the process of taking one quantity and removing part of it to work out what is left. It is the opposite of addition, because we are reducing the value of the number rather than increasing it by adding more numbers.

Given that, Mary is to buy a new pair of jeans, whose price including tax is $17.00, her mother gave her $14.50,

We need to find how much more money do Mary need,

Here, we will use a simple rule of subtraction, since, total price is $17, and she has $14.50,

Therefore, extra money she need = $17 - $14.50

= $2.5

Hence, Mary need $2.5 more money to buy her jeans.

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I need help solving this absolute value equation

3|x-4|=33

Answers

Answer: x = 15 or x = -7

Step-by-step explanation:

Step 1: Divide both sides by 3.

Step 2: Solve Absolute Value.

|x−4|=11 We know either x − 4 = 11 or x − 4 = −11

x−4=11(Possibility 1)

x−4+4=11+4(Add 4 to both sides)

x=15

x−4=−11(Possibility 2)

x−4+4=−11+4(Add 4 to both sides)

x=−7

Other Questions
Using your spreadsheet from Part 1, assume the following information and change your spreadsheet setup /formulas as needed to solve for the missing values. (Remember, only use cell referencing and formulas). Relationship #1 Relationship #2 Relationship #3 Revenues 7 Beginning Retained Earnings 7 Assets 238,000 Expenses 34,500 Net Income 2 Liabilities Net Income 84,500 Dividends 19,500 Common Stock 41,500 Ending Retained Earnings 133,500 Retained Earnings ? Required: 1. Complete the table below based on your results: Revenues 119,000 Beginning Retained Earnings 68,500 Net Income (Relationship #2) 84,500 Llabilities 63.000 Retained Earnings (Relationship #3) 133,500 2. Which formula would be incorrect in arriving at Retained Earnings in Relationship #3? O =G18 O =J15 J16-17 O =G15 G16-G17 Based on the scatter plot below, which is a better prediction for x when y = 42? Two people are working on a joint project. Each person i puts in some effort x i [0,1], which costs x i 2, and the outcome of the project is worth 2x1x2 . The worth of the project is split equally between them, regardless of their effort. a. Find the Nash equilibria of the game. b. Determine whether there are effort levels that yield a total payoff higher than that of the Nash equilibrium (Hint: factor the total payoff function). what are the types of direct costs identified in this case? why are they viewed as direct costs? scientists often calculate how likely the outcome of their experiments may be due to chance. if this is less than 5%, then the results may be considered reliable. I earns 875,00 in five working days so how many days must I work in order to earn R3500,00 what are 20 questions to ask a patient true or false: when writing a literature review you never include your own thoughts. select one: true false what is the reason that the federal and state governments attempt to limit payments from medicare and medicaid to physicians, hospitals, and managed care plans? A rectangle is 3 feet wide and has an area of 438 square feet. What is theperimeter of the rectangle? What were characteristics of Alexander the greats empire? Select the two correct awnsers. A. Alexandria, Egypt became a center for learning B. Trade In Africa, Europe, And Asia declined. C. Greece became isolated from others ideas. D. The size of Greeces empire got smaller. E. Greece was unified under one ruler the people in the village are now treating wang lung in a much different way, especially the gatekeeper. how do you explain their change in attitude? a basketball player of mass 56 kg wishes to jump 1.9 m up. to rise to that height, how fast must she be moving the instant her foot leaves the ground. Employers find that many college graduates have large gaps in _____, skills that employers are looking for A house was valued at $388,000. Over several years, the value decreased by 19%, giving the house a new value.(a) Fill in the blank to write the new value in terms of the old value.Write your answer as a decimal.New value = x Old value(b) Use your answer in part (a) to determine the new value.New value: sX5 4. Why didn't Liliuokalani think about becoming queen of the HawaiianIslands when she was a young girl? Using the common denominator, what is an equivalent fraction for ? In a large IT company, 75% of programmers are male while 36% know Python. Twenty-seven percent of the programmers are male and know Python.a- If a randomly selected programmer turns out to be male, what is the probability that he knows Python? Round your answer to four decimal places.b- Are "being male" and "knowing Python" independent? Justify your answer using relevant probabilities. Solve each right triangle and show worked solutions.- Will give brainliest - discuss two ways in which ms. tribole describes how dieting or rigid food rules can affect interpersonal relationships