In what order, from shortest to longest, will Sakura use the pieces of twine in the mobile? Drag the numbers into the correct order from shortest to longest.

Answers

Answer 1

The order from shortest to longest, in which Sakura will use the pieces of twine is :

0.75 foot 4/5 foot = 0.8 foot5/6 foot = 0.83 foot

How to find the order ?

Firstly, let's convert all lengths to a common format, decimals or fractions. Let's use decimals:

5/6 foot = 0.83 foot (approx.)

0.75 foot

4/5 foot = 0.8 foot

So, the order will be the piece of twine that is 0.75 foot, then the piece that is 0.8 foot (or 4/5 foot in fraction form), and finally the piece that is 0.83 foot (or 5/6 foot in fraction form).

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The full question is:

Sakura is making a mobile. She has a spool of twine that she cuts into

lengths of 5/6 foot, 0.75 foot, and 4/5 foot.

Drag the numbers into the correct order from shortest to longest.


Related Questions

A company surveyed its employees regarding the number of miles
commuted each day. The data set below shows the results
9, 15, 26, 32, 65, 5, 10, 19, 26, 32, 8, 15, 25
30, 40, 7, 12, 21, 27, 35, 60, 29, 23, 14,8
Using a box plot, determine the outlier value of the data set above.
A. 65
OB. 23
C. 60
D. The data set does not contain an outlier.
E. 5

Answers

It might be c.60 I’m not sure

Answer: According to Study Island the answer is 65

Step-by-step explanation:

In order to determine the outlier value, create a box plot.

To create a box plot, order the data.

5, 7, 8, 8, 9, 10, 12, 14, 15, 15, 19, 21, 23, 25, 26, 26, 27, 29, 30, 32, 32, 35, 40, 60, 65

Find the median, the first quartile (Q1), the third quartile (Q3), and the interquartile range (IQR).

Median = 23

Q1 =

10 + 12

2

= 11

Q3 =

30 + 32

2

= 31

IQR = Q3 - Q1 = 31 - 11 = 20

Find the upper and lower fences for the given data.

Lower Fence = Q1 - 1.5 × IQR

= 11 - 1.5 × 20

= -19

Upper Fence = Q3 + 1.5 × IQR

= 31 + 1.5 × 20

= 61

find the percent of the discount: a $30 board game on sale for 21​

Answers

well, we know the discount is just 30 - 21 = 9, so hmm if we take 30(origin amount) to be the 100%, what's 9 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 30 & 100\\ 9& x \end{array} \implies \cfrac{30}{9}~~=~~\cfrac{100}{x} \\\\\\ 30x=900\implies x=\cfrac{900}{30}\implies x=30\)

The table shows three functions and their output values for different values of x. Which equation represents h(x)? h(x) = (f(x))(g(x)) h(x) = f(x) – g(x) h(x) = f(x) + g(x)

Answers

The equation that represents h(x) is h(x) = (f(x))(g(x)).

To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).

Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).

Let's examine the table and compare the values:

x | f(x) | g(x) | h(x)

1 | 3 | 4 | 12

2 | 5 | 2 | 10

3 | 2 | 6 | 12

From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).

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Answer:

It's B.

Step-by-step explanation:

Edge 2020.

i really need help with this question it's due today

i really need help with this question it's due today

Answers

I belive that the answer is D

PLEAS HELP PLEASE ASAP​

PLEAS HELP PLEASE ASAP

Answers

Answer:

9 it is

Step-by-step explanation:

mode is most common so the answer is -7

7. Choose the correct word(s) to complete the sentence below.
Length is the measurement of
between two points.

Answers

Answer:

distance

Step-by-step explanation:

Answer:

The answer is distance

Step-by-step explanation:

How do you translate coordinates?

Answers

To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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please solve the system of equations below thank you
explain if u can

please solve the system of equations below thank youexplain if u can

Answers

First let’s try to cancel out the x
5x + -5x = 0
Add the y and the numbers together
-3y + -2y = -5y
26 + -16 = 10
-5y = 10
y = -2
Use y=-2 in one of the equations
-3(-2) + 5x = 26
6 + 5x = 26
5x = 20
X = 4

So
Y= -2
X= 4

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show the following numbers on number line 3/2, 5/2, -3/2

Answers

When you create the number line, put 0 in the middle. Basically you put all the numbers you got from least to greatest on the number.

Since -3/2 is less than 0, it will go to the left of 0.

Since 3/2 and 5/2 are greater than 0, it will go to the right of 0.

Remember to use sub points of 1.

Best of Luck!

Please help‼️ domain and range‼️

Please help domain and range

Answers

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

Calculating the domain and range of the graph?

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Please help me!
I need to deliver it tomorrow.

Please help me!I need to deliver it tomorrow.

Answers

i'm kind of sure it's -4.7

A sleep specialist believes that the more caffeine a person consumes per day, the more episodes of restless sleep that person experiences. What are her null and alternative hypotheses

Answers

The null and alternative hypotheses in this case would be formulated as follows:

Null Hypothesis (H0): There is no relationship between caffeine consumption per day and episodes of restless sleep.

Alternative Hypothesis (HA): There is a positive relationship between caffeine consumption per day and episodes of restless sleep.

In other words:

H0: β (slope coefficient) = 0

HA: β (slope coefficient) > 0

The null hypothesis assumes that there is no association or correlation between caffeine consumption and episodes of restless sleep. The alternative hypothesis, on the other hand, suggests that there is a positive relationship, indicating that higher caffeine consumption is associated with a greater number of episodes of restless sleep.

These hypotheses would be tested using statistical methods, such as regression analysis, to determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.

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Question 2 of 10
A triangle has two sides of lengths 5 and 13. What value could the length of the third side be? Check all that apply.
A. 2
B. 10
C. 24
D. 5
E. 8
F. 19

Question 2 of 10A triangle has two sides of lengths 5 and 13. What value could the length of the third

Answers

Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8. Therefore, the correct options are B. 10 and E. 8.

To determine the possible values for the length of the third side of the triangle, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given sides of lengths 5 and 13, we can check which values satisfy the triangle inequality:

The sum of the lengths of the two sides must be greater than the length of the third side:

5 + 13 > Third side

18 > Third side

Now let's check each given value:

A. 2: Not possible, since 18 > 2 does not hold true.

B. 10: Possible, since 18 > 10 holds true.

C. 24: Not possible, since 18 > 24 does not hold true.

D. 5: Not possible, since the given length is already one of the sides.

E. 8: Possible, since 18 > 8 holds true.

F. 19: Possible, since 18 > 19 does not hold true.

Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8.

Therefore, the correct options are B. 10 and E. 8.

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in a world series, teams a and b play until one team has won four games. assume that each game played is won by team a with probability p, independently of all previous games. a) for 9

Answers

The probability of team A winning exactly 9 games in a World Series is \(p^4 + 2 * p^5 * (1-p) + 3 * p^5 * (1-p)^2 + 4 * p^5 * (1-p)^3 + 5 * p^5 * (1-p)^4 + 6 * p^5 * (1-p)^5\).

In a World Series, teams A and B play until one team has won four games. Each game played is won by team A with probability p, independently of all previous games.

To find the probability of team A winning exactly 9 games, we need to consider different scenarios.

Team A wins the series in exactly 4 games: This can happen in only one way, with a probability of \(p^4\).

Team A wins the series in exactly 5 games: This can happen in exactly one of two ways - A-A-A-A-B or A-A-A-B-A. The probability of either scenario is \(p^4 * (1-p) * p + p^4 * p * (1-p) = 2 * p^5 * (1-p).\)

Team A wins the series in exactly 6 games: This can happen in exactly one of three ways - A-A-A-A-B-B, A-A-A-B-A-B, or A-A-B-A-A-B. The probability of any of these scenarios is \(3 * p^5 * (1-p)^2\).

Team A wins the series in exactly 7 games: This can happen in exactly one of four ways - A-A-A-A-B-B-B, A-A-A-B-A-B-B, A-A-B-A-A-B-B, or A-B-A-A-A-B-B. The probability of any of these scenarios is \(4 * p^5 * (1-p)^3\).

Team A wins the series in exactly 8 games: This can happen in exactly one of five ways - A-A-A-A-B-B-B-B, A-A-A-B-A-B-B-B, A-A-B-A-A-B-B-B, A-B-A-A-A-B-B-B, or A-A-A-A-B-B-B-A. The probability of any of these scenarios is \(5 * p^5 * (1-p)^4.\)

Team A wins the series in exactly 9 games: This can happen in exactly one of six ways - A-A-A-A-B-B-B-B-B, A-A-A-B-A-B-B-B-B, A-A-B-A-A-B-B-B-B, A-B-A-A-A-B-B-B-B, A-A-A-A-B-B-B-A-B, or A-A-A-A-B-B-B-B-A. The probability of any of these scenarios is \(6 * p^5 * (1-p)^5\).

Therefore, the probability of team A winning exactly 9 games is \(p^4 + 2 * p^5 * (1-p) + 3 * p^5 * (1-p)^2 + 4 * p^5 * (1-p)^3 + 5 * p^5 * (1-p)^4 + 6 * p^5 * (1-p)^5\).

The probability of team A winning exactly 9 games in a World Series is \(p^4 + 2 * p^5 * (1-p) + 3 * p^5 * (1-p)^2 + 4 * p^5 * (1-p)^3 + 5 * p^5 * (1-p)^4 + 6 * p^5 * (1-p)^5\).

The probability of team A winning exactly 9 games in a World Series depends on the probability p of team A winning each individual game. We need to consider different scenarios for team A winning the series in exactly 4, 5, 6, 7, 8, or 9 games. By analyzing all possible combinations, we find that the probability can be calculated as \(p^4 + 2 * p^5 * (1-p) + 3 * p^5 * (1-p)^2 + 4 * p^5 * (1-p)^3 + 5 * p^5 * (1-p)^4 + 6 * p^5 * (1-p)^5\). This formula takes into account the different ways team A can win the series in a specific number of games, multiplied by the respective probabilities of each scenario occurring.

The probability of team A winning exactly 9 games in a World Series can be calculated using the formula \(p^4 + 2 * p^5 * (1-p) + 3 * p^5 * (1-p)^2 + 4 * p^5 * (1-p)^3 + 5 * p^5 * (1-p)^4 + 6 * p^5 * (1-p)^5.\)

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Forty-five more than a number​

Answers

Answer:

n+45

Step-by-step explanation:

Just name "a number" as n or any other variable

Answer:

45 + x

Step-by-step explanation:

Find the distance between the points (–2,8) and (–2,3).

Answers

Answer:

I think it's 5

Step-by-step explanation:

I am not really sure but I tried I guess

Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

After solving the given expression the values for x will be equal to x = 1 and x = 13.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

The given equation is,

(x - 7)² = 36

x - 7 = √36

x = ±6

Then the values for x will be,

x1 = 6 + 7 = 17

x2 = -6 + 7 = -1

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In ΔOPQ, o = 1.2 inches, p = 3.2 inches and ∠Q=37°. Find the area of ΔOPQ, to the nearest 10th of a square inch.

Answers

The answer is Q = 17

based on the figure below, which statement is false?

based on the figure below, which statement is false?

Answers

Answer:

C

Step-by-step explanation:

If u need an explanation I already did in the comment section before haha brainly is finally letting me answer

Simplify
8(x + 3)2
2(x + 3)

Answers

Answer: 8(x+3)^2= 8x^2 + 48x + 72
2x + 6

Determine the domain of the following graph:

Determine the domain of the following graph:

Answers

Answer:

Our domain is -5 < x < 5 or (-5,5) in interval notation form.

Step-by-step explanation:

Domain is a set of all x-values. If we want to find the domain through the graph, we will just look whenever if the graph has an open-dot/closed-dot or not. The following that you'll commonly see in finding domain through graph:

    1. Closed Dots

They are dots that have solid color (generally black) to indicate that the interval there do include that x-value. An example is if there's a closed dot or solid dot at x = 4 then the value x = 4 is included in.

    2. Opened Dots

They are white dots - they only have outlines but no color of the dot. They work quite similar to the closed dots, except that the value at that point will not be included in. An example is if there's an opened dot at x = 4 then the value x = 4 will not be included in.

However, x = 4.0001 or values that are very close to x = 4 will be included in, just not x = 4.

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

Now since we are finding the domain through interval, we will ignore all y-values and y-axis. We will only be looking at x-axis and x-values.

The initial opened dot starts at x = -5 and the final opened dot ends at x = 5 as shown in the graph. Keep in mind that graphing visualization is a mandatory skill in mathematics!

The domain's interval has structure of initial x-value < x < final x-value (Only for opened dots, for closed dots, use ≥ or ≤) so from the structure, we can conclude that:

Our domain is -5 < x < 5 or (-5,5) in interval notation form.

Solve the equation and explain each step using apropriate Properties
-4(3x+6)+6=-30

Answers

Answer:

The answer is x=1

Step-by-step explanation:

-4(3x+6)+6=-30

-12x-24+6=-30

-12x-18=-30

-12x-18+18=-30+18

-12x=-12

-12x/-12=-12/-12

x=1

PLEASE HELP!!
Joseph wants to plant gloxinia and hydrangeas in two similar rectangular gardens. The length of one garden is 5 ft, and the width is 4 ft. The other garden's length is 20 ft. What is the width of the second garden?​

Answers

Answer:

width = 1 ft

Step-by-step explanation:

"Similar" means same area.

Therefore area of first garden = area of second garden.

Let x be the width of the second garden.

5x4 = 20x

x = 1 ft

(
Student scored 7 points
less on the 1st Test than
he did on 2nd test,
Total score is 185 what
are scores on each test

Answers

Answer:

For the first test the score was 89 and on the second test it was 96

Step-by-step explanation:

To find the answer we make the situation into an algebraic expression.

\(x + (x - 7) = 185 \\ 2x - 7 = 185 \\ 2x = 185 + 7 \\ 2x = 192 \\ \frac{2x}{2} = \frac{192}{2}\)

192 divided by 2 is 96; hence

\(x = 96 \\ x + (x - 7) = 185 \\ 96 + (96 - 7) = 185 \\ 96 + 89 = 185\)

what is the fraction of players on the field that are midfielders


a soccer team has 11 players on the fields . of those players , 2 are forwards , 4 are midfeilders, 4 are defenders , and 1 is a goalie

Answers

After addressing the issue at hand, we can state that As a result, decimal midfielders make up around 36.36% of the players on the pitch

what is decimal?

The decimal number system is frequently used to express both integer and non-integer quantities. Non-integer values have been added to the Hindu-Arabic numeral system. The technique used to represent numbers in the decimal system is known as decimal notation. A decimal number consists of both a whole number and a fractional number. The numerical value of complete and partially whole amounts is expressed using decimal numbers, which are in between integers. The full number and the fractional part of a decimal number are separated by a decimal point. The decimal point is the little dot that appears between whole numbers and fractions. An example of a decimal number is 25.5. In this case, 25 is the total number, and 5 is the minimum.

The following formula can be used to determine the percentage of midfielders on the field:

Overall number of players on the field / Total number of midfielders

In this situation, the total number of midfielders is 4, and the total number of players on the pitch is 11.

As a result, the percentage of midfielders on the field is:

4 / 11

This can be expressed in decimal or percentage form as follows:

0.3636 (rounded to four decimal places) (rounded to four decimal places)

36.36% (rounded to two decimal places) (rounded to two decimal places)

As a result, midfielders make up around 36.36% of the players on the pitch.

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Determine the GCF of 12y, 15y?, and 6y

Answers

Answer:

3y

Step-by-step explanation:

All three expressions have the factor 3, and all three have the factor y.  Thus, the GCF is 3y.

5(-6a-6)= –2a+1 solve for a

Answers

The value of a in the linear equation 5(-6a -6) = -2a + 1 is equal -31/28

Linear Equation

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

The equation given is 5(-6a - 6) = -2a + 1

Solving for a;

-30a - 30 = -2a + 1

Collect like terms

30a - 2a = -30 - 1

28a = -31

a = -31/28

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I need help on this and the first person who answer correctly gets a BRANLIST​

I need help on this and the first person who answer correctly gets a BRANLIST

Answers

Answer:

a

Step-by-step explanation:

Answer:

hi i am not 100% sure but i think it is a

Step-by-step explanation:

In the figure below, / I| m. Find the values of x and y.

In the figure below, / I| m. Find the values of x and y.

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

diagram

Step 02:

angles (values x and y):

we must analyze the diagram to find the solution.

x = 81

5y - 39 = 180 - x

5y - 39 = 180 - 81

5y - 39 = 99

5y = 99 + 39

5y = 138

y = 138 / 5

The answer is:

x = 81

y = 138 / 5 = 27.6

11) MZHGF = 16x + 4, m EGF = 110°,
and MZHGE = 3x + 11. Find x.
G
H
F
E

11) MZHGF = 16x + 4, m EGF = 110,and MZHGE = 3x + 11. Find x.GHFE

Answers

Answer:  x = 9

=======================================================

Explanation:

The smaller angles HGE and EGF combine to form the largest angle HGF.

This is an example of the angle addition postulate.

(angle HGE) + (angle EGF) = angle HGF

(3x+11) + (110) = 16x+4

3x+121 = 16x+4

121-4 = 16x-3x

117 = 13x

13x = 117

x = 117/13

x = 9 which is the final answer

We can stop here.

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

Extra info (optional section)

Use this x value to find each angle shown below

angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degreesangle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees

Then notice how,

(angle HGE)+(angle EGF) = 38+110 = 148

which is exactly the measure of angle HGF

This confirms that the equation

(angle HGE) + (angle EGF) = angle HGF

is true for that x value of x = 9. Therefore, the answer is confirmed.

9514 1404 393

Answer:

  11) x = 9°

  13) x = -12°

Step-by-step explanation:

11) ∠HGE +∠EGF = ∠HGF

  (3x +11) +(110°) = (16x +4)

  117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms

  9° = x . . . . . . . . . . . . divide by 13

__

13) ∠BCF +∠FCD = ∠BCD

  (x +78) +(x +41) = 95°

  2x = -24°

  x = -12°

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what tire pressures does ford reccommend fo a 2019 ford fusion energi titamium with 18 inch wheels reccommend? Rajni bought 2 1/2 kg onion at 30 1/2 per kg. Find the amount spent by Rajni What time is a million little things on tv tonight. give us 3 reasons of why do you want to work as a " Fieldengineer" in the rig? Joule expansion of ideal and van der Waals gases A Joule expansion is an irreversible expansion of a gas into an initially evacuated container with adiathermal walls. No work is done on the gas and no heat enters the gas, so U=0. The temperature change is described by the Joule coefficient, J=(VT)U. 1) Show that J=(VT)U=CV1[T(TP)Vp]; 2) Show that J=0 for an ideal gas; 3) Calculate J for a van der Waals gas. There are 40 painters in a crew. On a certain day, 87. 5% were present. How many people did not show up for work? What does faster dialysate flow rate through filter mean? The Jay Treaty expressed the political beliefs ofA: Thomas Jefferson amd the Federalist B: Thomas Jefferson amd the Democratic- Republicans.C: George Washington and the Federalist D: George Washington ans the Democratic- Republicans. what is number 14 and 15 Review:1. A ____ quantity is completely described by magnitude alone. A ____ quantity Is completely described by a magnitude with a direction.a. scalar, vectorb. vector, scalar2. Speed is a ____ quantity and velocity is a ____ quantity.a. scalar, vectorb. vector, scalar how would you feel if someone gave you negative or bad feedback? jordan is a scientist who wants to determine the genes involved in bipolar disorder. how can jordan use information from the human genome project to assist in this goal? Liz went into a restaurant and ordered a meal from a waitress that included rice pudding for dessert. The rice pudding contained ground glass that caused severe intestinal bleeding and required continuing medical attention. Liz sues the restaurant claiming a breach of an implied warranty under the Uniform Commercial Code. Which of the following is correct? The Code is not applicable here because some service by the waitress is involved. The Code is not applicable here because it does not cover the sale of food. The Code's protections include the implied warranty of merchantability or fitness for human consumption for food products. O Liz cannot sue unless she had already paid for the food. o More than one of the above is correct. Assume you are the Minister of Finance and Economic Planning for Ghana, in charge of Fiscal Policy. The Research Director of the Ministry brought you the following data on Ghana for the previous fiscal year, 2021. An examination of the data reveals that, during the fiscal year 2021, households in Ghana saved 20% of their disposable income (Yd) and spent the rest on consumption. In addition, GH5,000.00 was spent on Consumption expenditure (C), which is independent of income and Gross Private Investment (I) was GH7,000.00. Total Government expenditure (G) which stood at GH8,000.00 was supposed to be financed by a lump sum tax of GH2,000.00 (independent of income) and a proportional tax rate of 25% of national income. Exports (X) stood at GH2,500.00. In addition, the countrys import (M) during the previous fiscal year comprises of GH1,000.00 which was independent of the countrys national income and 10% which was dependent of the countrys national income. Given these data on Ghana for the previous year:i. Compute the equilibrium level of income (Y), Consumption (C), Tax (T) and Savings (S). (Hint: = + ; = + and = + )ii. Determine the Government fiscal stance.iiii. If the full employment level of national income is GH40,000.00, determine the income gap.iv. What fiscal policy would be appropriate to address this gap? (1 mark)If there is an increase in export to GH4,000.00, find the new level of equilibrium income.vi. Show how a GH2,000 increase in government spending financed by a GH2,000 increase in taxes will affect the level of national income. Gross Domestic Product (GDP) is not a good measure of welfare in an economy. Discuss. It is a combination of ""Web"" and ""video camera."" Its purpose is to broadcast video onthe web. The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.2 0, 2, 53 1, 3, 44 1, 1, 55 0, 66 7 Key: 3|1 means 3.1What is the mean, and what does it tell you in terms of the problem? 10 POINTS FOR ANSWER a designer builds a model of a canoe. the finished model is exactly the same shape as the original, but smaller. the scale factor is . (a) find the ratio of the surface area of the model to the surface area of the original. (b) find the ratio of the height of the model to the height of the original. (c) find the ratio of the volume of the model to the volume of the original. The ________, by which the corporate veil can be pierced, may also be used to impose personal liability upon corporate officers, directors, and stockholders. Whats 10.53+14.5+6.9+6.3+6.8Show all your work or else don't answer at all.