Which government tax policy is most likely to result in an increase in consumer demand? A - an increase in personal income tax B - a decrease in corporate tax C - a decrease in personal income tax D - an increase in corporate tax

Answers

Answer 1

The correct answer is "C" - a decrease in personal income tax is most likely to result in an increase in consumer demand.

Define Tax.

Taxes are compulsory payments made by a government organization, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools.

What is VAT?

A value-added tax, often referred to as a goods and services tax in some nations, is a kind of tax that is imposed gradually. At every stage of manufacture, distribution, or sale to the final customer, it is added to the cost of a good or service.

There is an increase in consumer demand when personal income taxes are cut because people have more money that they can spend on products and services.

On the other hand, a rise in personal income taxes would reduce the amount of disposable money that consumers have, which will result in a drop in demand from consumers.

In a similar vein, a rise in company tax would result in higher business costs and lower profits, both of which would reduce consumer demand. Conversely, a drop in corporate tax would not directly influence consumer spending.

So the correct answer is C.

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Related Questions

Marco's mom gave him d dollars for his allowance one week. He also earned $ 14.55 dollar sign, 14, point, 5 for his newspaper route that week.

Answers

The total amount of money that Marco has that week would be = $ d + 14.55.

What is an allowance income?

An allowance income is defined as the amount of money an individual earns that can be used to solve their personal needs.

Marco received double payment, an allowance from the mother and from newspaper route.

The total amount of money received from his mother for allowance for that same week = $ d

The amount of money he earned from his newspaper = $14.55

Therefore the total amount of money Marco has that week =$ d + 14.55

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Complete question:

Marco's mom gave him d dollars for his allowance one week. He also earned \$14.55$14.55dollar sign, 14, point, 55 for his newspaper route that week.

How much money does Marco have?

Write your answer as an expression.

A sequence is represented by the explicit formula

Answers

The 40th term of the sequence  aₙ = - 24 - 3n is - 144.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, A sequence is represented by the explicit formula aₙ = - 24 - 3n.

We know, Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Therefore, To find a₄₀, we'll simply replace n with 40.

So, a₄₀ = - 24 - 3(40).

a₄₀ = - 24 - 120.

a₄₀ = - 144.

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Find the value of StartFraction P (t) Over A EndFraction for this problem. StartFraction P (t) Over A EndFraction

Answers

The value of StartFraction P (t) Over A EndFraction for this problem will be 20

Take the value of x that they provide you and plug it into the problem for these kinds of difficulties.

The fraction's numerator is the highest number. It stands in for the entire thing that must be divided.

A fraction's denominator is the value at the bottom. It shows how many equally sized pieces are divided up in the object.

adding 3 to the formula:

6/(3) + 2(3)^2 —> use PEMDAS. Apply the 32 exponents first, followed by left-to-right multiplication and division, and finally addition.

6/x + 2x^2,

when x = 3

=20

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The question the incomplete the full question:

What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?

Answer:

The second part is 0.8 and B. About 1,845 years.

Step-by-step explanation:

:)

Express (0.0425 + 25) as a fraction​

Answers

Answer:

54 is the correct answer

The perimeter of triangle ABC is 26 units. The altitudes of triangle ABC are in the ratio 2: 3: 4. Compute the area of triangle ABC.
please help me w step by step explanation and work tysm !

Answers

Answer:

59

Step-by-step explanation:

Worksheet fun balancing equations

Answers

Why have you post same question multiple times?

An experiment was conducted to see the effect altitude had on the boiling point of on Effect of Altitude on Boiling Point of Water Boiling Point (°F) 210- 200- 190+ 180- 170- 160- + 0 5,000 10,000 15,000 20,000 25,000 Altitude above Sea Level (ft) Which statement best explains the relationship between altitude and the boilin OA. There is a strong negative correlation between altitude and water's boiling point.​

Answers

The option that best explains the relationship between altitude and the boiling point is; A. There is a strong negative correlation between altitude and water's boiling point.​

How to interpret the correlation relationship?

In correlation coefficient, we know that a positive correlation occurs when both x and y values increase at the same time while negative correlation occurs when y value decreases as x value increases.

Now, we see from the given graph that y-values are decreasing with increasing x-values and as such this is a negative correlation.

Now, we want to determine whether it is a strong or weak correlation.

The scatterplot is close to being a straight line and as such the correlation coefficient will be close to - 1 which makes it a strong negative correlation.

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Answer: A is correct

Step-by-step explanation:

took the test

Find the value of y

Answers

Answer:

y = 4

Step-by-step explanation:

The triangles are congruent.

8y = 6y + 8

2y = 8

y = 4

What is the value of log2 base 2?

Answers

the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one

How do you find the value of log base 2?

Properties of Log Base 2

Multiply two numbers with base 2, then add the exponents. Divide two numbers with the base 2, subtract the exponents. Power Rule: Raise an exponential expression to power and multiply the exponents.

Use the change-of-base formula:

since we know that natural log and log with base 10 are different

So, if we want to write log3(6) as a logarithm of base 2, in these example a = 3, x = 6, b = 2:

Hence ,  the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one

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3(-n + 4) + 5n = 2n A) n = 3 B) no solution C) infinitely many solutions
Part 1: Use inverse operations and rules of equation solving to determine the correct answer to Mrs. Jones's quiz question number 14. Include all of your work in your final answer. Part 2: Use complete sentences to compare the similarities and differences of each of the multiple choice answer options A-C. In your answer, rationalize why a student would choose each of the options as the correct answer.

Answers

(A) There is only one solution to the given system.

(B) There is no solution to the given system

(C) There are infinite solutions to the system.

What is solution of the system?

A set of values for a variable that simultaneously satisfy each equation is the solution to a system of equations. A system of equations must be solved by identifying all possible sets of variable values that make up the system's solutions.

Given:

3(- n + 4) + 5n = 2n ← distribute and simplify left side

- 3n + 12 + 5n = 2n

2n + 12 = 2n ( subtract 12 from both sides )

2n = 2n - 12 ( subtract 2n from both sides )

0 = - 12 ← not possible

This indicates the equation has no solution

Comparing the types of solutions

A n = 3

Indicates that there is only one unique solution to the equation.

B no solutions

This is indicated when you solve and obtain a ridiculous statement, similar to the one obtained in part A, that is

0 = 12

C infinite solutions

This is indicated when you solve the equation and obtain

4 = 4 or - 3 = - 3

Hence,

(A) There is only one solution to the given system.

(B) There is no solution to the given system

(C) There are infinite solutions to the system.

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Becky says that line c and d are parallel
what must true for Becky to be correct​

Answers

Answer:

c) m <2 =m <3

Step-by-step explanation:

since the angles 2 and 3 are equal then they should be alternate angles

then c and d are parallel lines

URGENT!!!! 25 POINTS!!!

What is the linear function expressed by the following table?

Answers

The linear function expressed by the table is y = -1x + 4.

What is a linear function?

A linear function is a type of mathematical function that represents a linear relationship between two variables, often represented by x and y. The general form of a linear function is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis). Linear functions are also called lines.

To find the equation of the line from a table of values, you can use the slope-intercept form, y = mx + b

where m is the slope and b is the y-intercept

In order to find the slope 'm' we use the following formula:

m = (change in y)/(change in x) = (y2 - y1) / (x2 - x1)

Here,

m = (-2 - 2) / (2 - (-2)) = (-4)/4 = -1

The slope is -1, which means that for every one-unit increase in x there's a corresponding one-unit decrease in y.

To find the y-intercept, you can use one of the points from the table and substitute the x and y values into the equation

y = mx + b

So now we know that m = -1,

plugging the first point (x,y) = (-2,2) in the equation

2 = -2 - b

b = 4

So the equation of the line is y = -1x + 4

Hence, the linear function expressed by the table is y = -1x + 4.

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A new social media site is increasing its user base by approximately 5% per month. If the site currently has 27,870 users, what will be the approximate user base be 6 months from now?

Answers

Answer:

37,349

Step-by-step explanation:

month 1

27870 x .05 = 1394

27870 + 1394 = 29264

month 2

29264 x .05 = 1463

29264 + 1463 = 30727

month 3

30727 × .05 = 1536

30727 + 1536 = 32263

month 4

32263 x .05 = 1613

32263 + 1613 = 33876

month 5

33876 x .05 = 1694

33876 + 1694 = 35570

month 6

35570 x .05 = 1779

35570 + 1779 = 37349

Answer:

35,570

Step-by-step explanation:

solution 1 - Multiply by 5%, 6 times. Easter to calculate without a calculator, long process.

1. 27870*1.05= 29,263.5

2. 29263.5*1.05=30726.675

3.repeat

4.repeat

5.repeat

6.repeat

if it's hard for you to multiply by 1.05, you can always divide by 20 or divide by 10 then by 2 (like the below)

1. 27870÷10= 2,787

2. 2787÷2= 1393.5

3. 27870+1393.5 = 29263.5

solution 2 -Fast but probably needs a calculator

1. 27870*1.05^(5)= 35570

1.05 = monthly increase

power of 5 = ^(5) = 6 months - 1 = 5

An achievement exam was given to a population of 1,000 students. However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table. TEST SCORE 42 57 67 72 77 87 97 z score -1.50 -0.75 -0.25 0 0.25 0.75 1.25 percentile rank 10 25 30 45 50 75 95 Using the table information, the test score representing the 3rd decile is: a. 67 b. 77 c. 57 d. 72 e. 97

Answers

The test score representing the 3rd decile is 67. So the option a is correct.

In the given question, an achievement exam was given to a population of 1,000 students.

However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table.

TEST SCORE      42        57        67        72        77        87        97

z score              -1.50     -0.75    -0.25     0        0.25     0.75     1.25

percentile rank  10         25        30       45        50       75        95

Using the table information, we have to find the test score representing the 3rd decile.

As we know that the 3rd decile is equal to the 30th percentile.

So that the 3rd decile have the percentile rank = 30

The test score equivalent to percentile rank 30 is 67.

So, the test score representing the 3rd decile is 67. So the option a is correct.

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Help me solve this please

Answers

Answer:

Step-by-step explanation:

The four options just swap the order, and you should choose them all

A basket of the fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, draw the 2nd piece of fruit from the basket, keep that, and then draw a third piece of fruit from the same basket. What is the probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded?

A. 5/144

B. 5/108

C. 1/28

D. 1/22

Answers

The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.

What is the probability:

The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out.

The outcome of an event may be known to us or unknown to us. When this happens, we indicate that there is a probability that the event will happen or not.

It is also defined as the ratio of the number of favorable outcomes to the total number of outcomes.

The formula for the probability of an event is given by

P(E) = No of favorable outcomes/ Total No of outcomes ]

Here we have

A basket of fruit contains 4 bananas, 3 apples, and 5 oranges.

Total number of fruits = 4 + 3 + 5 = 12

By the given formula,

Probability of selecting 1 banana = 4/12 = 1/3

Probability of selecting 1 apple = 3/12 = 1/4

Probability of selecting 1 orange = 5/12

The order of the fruits that is given is 1 banana, then 1 apple, then 1 orange

Let's assume that,

We taken 1 banana

=> The probability of selecting one banana = 1/3

After taking one banana, remaining fruits = 12 - 1 = 11

Now we have drawn 1 apple

=> The probability of selecting one apple in 11 fruits = 3/11

After taking one apple remaining fruits = 11 - 1 = 10

=> The probability of selecting one orange from 10 fruits = 5/10 = 1/2

From the above calculations,

The probability of selecting in given order = (1/3)(3/11)(1/2) = 3/66 = 1/22

Therefore,

The probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded is 1/22.

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which system of inequalities is represented on this graph? NEED THIS ASAP picture below

Answers

system B is the correct answer

ASAP 100 POINTS PLUS BRAINLIEST

A local rent-to-own business has a television set advertised with a purchase price of $1,095. 0. Calculate the APR if the finance terms are $29. 99 per week for 73 weeks. Round the final answer to the nearest tenth. (4 points)

73. 4%

71. 4%

81. 2%

Answers

Based on the provided information, the APR is 71.4%.

Annual Percentage Rate (APR) is defined as the interest rate which is charged by a lender on an annual basis, expressed in the form of a percentage. The formula for APR is given by

APR = (((Interest Charge+Fees)/(Loan Principal))/(Number of days in loan term)) * 365 * 100

The finance terms in the given case is $29.99 per week for 73week. Hence,

Total amount paid = 29.99*73 = $2,189.27

Loan principal = $1,095

Interest charged = Total amount paid – Loan principal amount = 2,189.27 – 1,095 = $1,094.27

Fees = 0 (as it not mentioned in the question)

Number of days in loan terms = 73*7 = 511 days

Substituting the values in the formula,

APR = ((1094.27/1095)/511) * 365 * 100

APR = 71.4%

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Three softball players discussed their batting averages after a game.


Probability
Player 1 six tenths
Player 2 five ninths
Player 3 four sevenths


Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)

Answers

The likelihood event:

Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

The correct option is A.

What is the LCM?

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Given:

Three softball players discussed their batting averages after a game.

Probability:

Player 1 = six tenths = 6/10

Player 2 = five ninths = 5/9

Player 3 = four sevenths = 4/7

To find better batting averages:

LCM of 10, 9 and 7.

10 = 2 x 5. 9 = 3 x 3, 7 = 7

So, the LCM (10, 9, 7) = 630

Now we have the number of chances are equal for each of the three players.

So, the P(Player 1) = 6/10 = 378/630

P(Player 2)= 5/9 = 350/630

P(Player 3)= 4/7 = 360/630

The Player 1 has better batting average than Player 2 and Player 3.

Therefore, Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

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How do you simplify 3 Way ratios?

Answers

To simplify 3 ratios, divide each part of the ratio with the same amount and keep diving numbers in the ratio until they are as small as possible but they remain as whole numbers.

To simplify or reduce a fraction, first, we need to find a common factor between the ratio numbers. When we have multiple ratio numbers, we must find a common factor between all of them.

The greatest factor between all the ratio numbers (greatest common factor) will be utilised to divide or reduce the ratios down to their lowest form.

For example reduce the ratio 225: 125: 25

The first step is to determine a common factor between all of the ratio numbers. In this example, we can see that all of the numbers end in either 5 or 0. This means that each number should have 5 as a factor.

If numbers are large and we are not sure of the greatest common factor between them all, we can reduce by a common factor and then reduce again.

Now divide each number by 5 and see what we get.

225/5: 125/5: 25/5

45: 25: 5

When we divide each one by 5 again, we can see that each number again ends in 5 or 0 which means that 5 is still a factor of each number.

Now divide each number by 5 again and get a final ratio of 9: 5: 5.

45/5: 25/5: 5/5

9: 5: 1

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quadratic expression x² +6x +5​

Answers

Answer:

if its for factor, we have (x+1)(x+5), if its for formula, its x=-1, -5

Step-by-step explanation:

(X+1) (x+5) x= -1 , -5

Which equation has 3 as a solution set *?

Answers

The equation 3x - 9 = 0 has 3 as a solution out of all the given equations in the options.

Check the solution of equation 3x - 9 = 0

3x - 9 = 0

3x = 9

x = 3

Check the solution of equation 4x - 3 = 0

4x - 3 = 0

4x = 3

x = 3/4

Check the solution of equation 5x - 10 = 0

5x - 10 = 0

5x = 10

x = 10/5

x = 2

Check the solution of equation 7x - 49 = 0

7x - 49 = 0

7x = 49

x = 49/7

x = 7

Thus, only 3x - 9 = 0 satisfy the solution x = 3.

Hence, the correct option is A.

--The given question is incomplete, the complete question is

''Which equation has 3 as a solution set?

A. 3x - 9 = 0

B. 4x - 3 = 0

C. 5x - 10 = 0

D. 7x - 49 = 0''--

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What is the 3 variable?

Answers

A three-variable system is a system of equations or inequalities involving three variables.

The three variables could refer to any three related quantities, such as a person's age, height, and weight. In a three-variable system, the number of equations is equal to the number of variables, so three equations are needed to solve the system. Each equation in the system will involve all three variables and will be solved through a combination of algebraic manipulation, substitution, and elimination techniques. Once all three equations have been solved, the values of the variables can be found.

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Please help me!! Find the area of the circle:)

Answers

Answer:

2.46

Step-by-step explanation:

Answer:

[tex]A=283.528736986[/tex]

Step-by-step explanation:

The formula for the area of a circle is:

[tex]A=\pi \times r^2[/tex]

Remember that the radius is half the diameter, we are given the diameter which is 19, which means we need to find the radius:

[tex]d=19[/tex]
[tex]19\times\frac{1}{2} =9.5[/tex]
[tex]r=9.5[/tex]

Substitute and solve:

[tex]A=\pi \times9.5^2[/tex]
[tex]9.5^2=9.5\times9.5=90.25[/tex]
[tex]\pi \times90.25=283.528736986[/tex]
[tex]A=283.528736986[/tex]

Since the question doesn't say to round the area is "283.528736986."

Hope this helps.

A six-foot long ladder is leaning against a wall. The bottom of the ladder is 3 feet away from the wall. How high up the wall is the ladder

Answers

The six-foot long ladder is 3√5 feet high up the wall having 3 feet distance from bottom of the ladder.

How to find height ?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the ladder is the hypotenuse, and the wall and the ground make up the other two sides.

The ladder is 6 feet long, and the bottom of the ladder is 3 feet away from the wall, so the triangle is a 3-4-5 right triangle, which means the wall is 3 feet high.

So, if we square the length of the ladder (6^2 = 36)

The length of the base (3^2 = 9),

and add them together, then take the square root of that, we get the height of the wall.

sqrt(36+9) = sqrt(45) = 3*sqrt(5)

so the ladder is 3√5 feet high up the wall.

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Can someone show me step by step what to do next please I’m confused?!!! Please anyone

Answers

Answer:

You need to combine like terms

CORRECT ANSWER WITH **STEPS** GETS BRAINLIEST
for the following questions, determine what values of x makes the rational expression equal to zero.
1. x+6 / x-4
2. (x+4)(x-2) / (x+6)
3. 2x+10 / 3x-12

thanks.

Answers

3 is the answer also your welcome

Is angle 1 vertically opposite to angle 4?

Answers

Yes, angle 1 is vertically opposite to angle 4 because they are formed due to the intersection of straight lines.

When two lines intersect each other, then the opposite angles formed are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are equal to each other. Also, a vertically opposite angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.

For example, if two lines intersect and make an angle, say X=55°, then its opposite angle is also equal to 55°. And the adjacent angle to angle X will be equal to 180 – 55 = 125°

In the given figure, ∠AOC and ∠BOD form a pair of vertically opposite angles and similarly ∠AOD and ∠BOC form such a pair. Therefore,

∠AOC = ∠BOD

∠AOD = ∠BOC

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Write the explicit formula for the sequence below:

Answers

The explicit formula for the sequence will be an = 10 + 5n. The correct option is C.

What is arithmetic progression?

The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression.

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.

Given series is 15,20,25,30,...,

The common difference is d = 20 - 15 = 5

First term is, 15

The formula can be written as,

an = a₁ + d(n-1)

an = 15 + 5 ( n - 1 )

an = 15 + 5n - 5

an = 10 + 5n

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How do you convert log to the base e to log to the base 10?

Answers

To convert the log base 2 to log base 10, we can use the change of base formula for logarithms. The change of base formula for logarithms is as written:

log b(x)=logc(x) logc(b)

By Using this formula, we can convert or find log base 2 to log base 10, where log base 10 is called the common logarithm, and we denote log10 (x) as log(x). The change of base formula gives the following:

log2(x)=log10(x)log10(2)=log(x)log(2)

This gives us the formula we can use to convert a logarithm with base 2 to a common logarithm with base 10.

The log function of e to the base 10 is denoted as “log 10 e”. Where the value of e is 2.7182818. The natural log function of e is denoted as “log e e”.

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Many of the Mauryan Empires huge pillars originally were transported from quarries in __________ India. A. central B. eastern C. southern D. western orScientists theorize that all life started with simple prokaryotic organisms. New species continue to evolvefrom existing species, creating the variety of life we see today. The following diagram shows the basicprocess.fungi(oukaryotic,unicellular,multicellular)protista(eukaryotic,uni-ormulticellular)eubacteria(prokaryotic,unicellular)animalia(eukaryoticmulticellular)universalancestorplantae(eukaryoticmulticellular)archaebacteria(prokaryotic,unicellular)Based on this diagram, do you think that organisms of the same order will share a stronger evolutionaryrelationship than organisms that share only the same phylum? Explain your reasoning using the results ofyour investigation. Why is halite found on the surface of Earth I REALLY NEED HELP WITH PLINK A PLUNK The core benefit of Learning Relationship for an enterprise is: Group of answer choices increased product innovation greater customer loyalty greater profit margins all of the above In triangle ABC, segment AY bisects angle A, segment BX bisects angle B, and Q is the intersection of segment AY and segment BX. Use the figure for Exercises 17-19. 17. Suppose BC > AC. Compare measure of angle BAY and the measure of angle ABX. Justify your reasoning. 18. Cynda claims that segment XC = segment YC if BC > AC. Can Cynda make this conclusion? Justify your argument. 19. If the measure of angle AQB > the measure of angle BQY, which side of triangle ABQ has the greatest length? What was the Oseberg ship used for a grave ship a Warshipc for Cargod none of thes? To get to his parents' house, Dylan would have to drive due north 8 miles. To get to hisgrandparents' house, he would have to drive due east 5 miles. What is the straight-linedistance between the parents' and grandparents' houses? If necessary, round to the nearesttenth. 11. A weightless bar AB is pivoted at its centre and weight of 10N and 30N are attached on side A at 4m and 2m from the pivot respectively. These weights are balanced by a weight of 25N on the other side B. How far is the 25N weight from the pivot? Can you make examples verb to infinitive or gerund? The primary light source in a scene, providing the dominant illumination and casting the strongest shadows, is called the _____ light. What did Lenin do when he returned to Russia in April 1917? How did the Navajo serve in World War II as Code Talkers in the Pacific? How is the setting of the expert similar to the setting of Ovid's Pyramus and Thisbe? Can u please help................... The following dotplot shows the centuries during which the 111111 castles whose ruins remain in Somerset, England were constructed. Each dot represents a different castle. According to the 1.5.IQR rule for outliers, how many high outliers are there in the data set? Felix's dinner costs $16.49. Felix pays a $20 bill. About how much change did he receive? Show your work. The following system of equations is _____.y = - x + 2x + 6y = 4independentinconsistentequivalent Darron lost his sense of taste because a tumor caused damage to a structure located on top of his brainstem. This structure is known as the How do you find the sides of an isosceles triangle given the angles?