Find all values that are NOT in the domain of h/g.

Find All Values That Are NOT In The Domain Of H/g.

Answers

Answer 1

The results of the division between the two functions are listed below:

a) (h / g) (- 1) = - 1 / 15

b) x = 7 / 8 is not in the domain of (h / g) (x).

How to evaluate a division between two functions and determine its domain

Herein we have two functions h(x) and g(x), the former is a quadratic equation and the latter is a linear equation and the division between the two functions is described below:

(h / g) (x) = h(x) / g(x), for all x such that g(x) ≠ 0

If we know that h(x) = 2 · x² - 3 and g(x) = - 8 · x + 7, then the division between the two functions is:

(h / g) (x) = (2 · x² - 3) / (- 8 · x + 7)

Now we evaluate the function at x = - 1:

(h / g) (- 1) = [2 · (- 1)² - 3] / [- 8 · (- 1) + 7]

(h / g) (- 1) = (- 1) / 15

(h / g) (- 1) = - 1 / 15

To determine the value of x such that does not belong to g(x), we need to solve the following expression:

g(x) = 0

- 8 · x + 7 = 0

8 · x = 7

x = 7 / 8

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Related Questions

about 310 000 t of atlantic cod were caught in 1991. in 2001 the mass of the cod caught was 87% less. HOw much cod was caught in 2001

Answers

Number of Atlantic cods caught in the year 2001 is; 40300 t

How to solve percentage word problems?

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. This is expressed as;

Percentage = (value / total value) * 100%

Now, we are told that;

Number of Atlantic cods caught in 1991 = 310000 t

We are told that in the year 2001, there were 87% less caught. Thus;

Number by which it was reduced = 310000 * 87% = 269700

Thus;

Number of Atlantic cods caught in the year 2001 = 310000 - 269700

Number of Atlantic cods caught in the year 2001 = 40300 t

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Please help me Find the slope of the line

Answers

Answer:

Step-by-step explanation:

d- down four then right three

Select the type of cross section formed when a triangular pyramid is cut parallel to its
base.

Answers

The resulting cross section is a rectangle.

(3s+2f=18)
(2s+3f=15.75)

Answers

Answer:

  (s, f) = (4.5, 2.25)

Step-by-step explanation:

You want the solution to the simultaneous equations ...

3s+2f = 182s+3f = 15.75

Solution

Writing these in general form, we have ...

  3s +2f -18 = 0

  2s +3f -15.75 = 0

Using the "cross-multiplication method" for solution, we find ...

  ∆1 = (3)(3) -(2)(2) = 5

  ∆2 = (2)(-15.75) -(3)(-18) = 22.5

  ∆3 = (-18)(2) -(-15.75)(3) = 11.25

  s = ∆2/∆1 = 22.5/5 = 4.5

  f = ∆3/∆1 = 11.25/5 = 2.25

The solution is (s, f) = (4.5, 2.25).

__

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In the following figure, AD is the bisector of ZBAC. GE is perpendicular to AB, GF is perpendicular to AC.
Andrea says that AAEG = AAFG by the AAS congruence postulate. Do you agree or disagree? Explain.

Answers

I agree with Andrea that Δ AEG ≅ Δ AFG by the AAS congruence postulate

What is congruency of triangle?

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

Some of the rules include

Side -  Side - Side = SSSSide - Angle - Side = SASAngle - Side - Angle = ASA Angle - Angle - Side = AAS Hypotenuse and one leg = HL

The problem requires the prove by Angle - angle - Side = AAS to ensure that the the triangles are congruent

The AAS have it that the two triangles being compared should have their two angles and the side not included being equal

The Angle - Angle - Side = AAS, here include

< FA,G - < AFG - AG

< EAG - < AEG - AG

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what is (2 x 10 to the power of 5) divided by (4 x 10 to the power of 2)

Answers

Answer:

500

Explanation:

Math help needed (grade 9)

Answers

Step-by-step explanation:

volume = base area × height

= (1/2×12×16)×10

=960cm3

surface area:

1. triangle area = 1/2×12×16=96cm2

2.bottom area = 12×10=120cm2

3.side area = 16×10=160cm2

4.slope area = 10×20=200cm2

5.add everything and remember you have two triangle

surface area= 96×2+120+160+200 =672cm2

a coin is flipped eight times. each result is either a heads or a tails. how many possible outcomes contain at least 33 tails ?

Answers

The possible outcomes must contain at least three tails, not 33 because a coin is flipped eight times. Then, the possible outcomes that contain at least three tails are 219.

The possible outcome is the possible result of an event. The possible outcomes that contain at least three tails mean the possible outcomes with exactly three tails and more than three. So, the calculation is:

[tex]\frac{8!}{3!5!} + \frac{8!}{4!4!} + \frac{8!}{5!3!} + \frac{8!}{6!2!} + \frac{8!}{7!1!} + \frac{8!}{8!0!}[/tex]56 + 70 + 56 + 28 + 8 + 1= 219

Hence, the possible outcomes that contain at least three tails are 219.

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Type the missing number to complete the proportion.

18 orders in 2 days = 9 orders in
days

Answers

Answer:

18 orders in 2 days 9 orders in 1 day

Answer:

Step-by-step explanation:

9x2=18 which is 2 days so 9x1= 9 which is one day

order the sides DEF from shortest to longest

Answers

From the given triangle, the order of the sides DEF from shortest to longest is DE, DF, and EF.

Triangle:

The polygon with three edges known as sides and three vertices are known as triangle.

Given,

Here we have the triangle with their corresponding angle.

Now, we have to order the sides from shortest to longest.

Here in the given triangle we know the angles of m∠D = 61, m∠E = 60, and m∠F = 59.

By knowing this measures we can order the sides from shortest to longest, because angles are the opening between to sides, which means if the angle is wide, its opposite side that is in front of the angle is wide too, if the angle is narrow, its opposite side will be narrow.

In this case, the opposite side of ∠D will be the longest, because it is the largest angle. And the opposite side of m∠E will be the second longest, and finally the opposite side of ∠F will be the smallest.

From values, the shortest to longest the order is written as DE, DF and EF.

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A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation.

If ( x , y ) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

Answers

If (x, y) represents the location of any point on the original square, the ordered pair which represents the coordinates of the corresponding point on the resulting square is: (0.4x, 0.4y).

What is dilation?

In Geometry, dilation simply refers to a type of transformation which changes the size of a geometric object and the location of its points based on the scale factor, but not its shape.

What is scale factor?

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either enlarge or reduce their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (0.4x, 0.4y)

Where:

x and y represents the data points.SF represents the scale factor.

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Complete Question:

A square with the perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation.

If (x, y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

answer choices

(0.4x, 0.4y)

(x + 20, y + 20)

(x + 0.4, y + 0.4)

(20x, 20y)

A triangle has a perimeter of 7x + 8. The first side of the triangle has a length of 3x, and the second side has a length of 2x − 5. What is the length of the third side of the triangle?

x + 13
2x + 13
5x − 5
12x + 3

Answers

The length of the third side of the triangle is 2x+13.

According to the question,

We have the following information:

A triangle has a perimeter of 7x + 8. The first side of the triangle has a length of 3x, and the second side has a length of 2x − 5.

We know that perimeter of triangle is the sum of all three sides of triangle.

Let's take its third side to be y.

So, we have the following expression:

3x+2x-5+y = 7x+8

5x-5+y = 7x+8

Adding 5 on both the sides:

5x+y = 7x+8+5

5x+y = 7x+13

Subtracting 5x from both the sides:

y = 7x-5x+13

y = 2x+13

Hence, the correct option is B.

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Answer:

B. 2x+13

Step-by-step explanation:

I got it right on the test

There are 100 items in a garage sale. 30% of the items are sold during the first hour of the sale. If 10 items are sold during the second hour, what percent of the items have not been sold?

Answers

The percentage of items that have not been sold is: 60%

In mathematics, the percentage is calculated by dividing the given value by the total which is then multiplied by 100.

Percent in itself stands for out of 100.

Let the total number of items= i

Let the percentage be represented as= p

Then,

         i=100 (Given in the question)

Let the number of items sold in the first hour be= a

Let the number of items sold in the second-hour be= b

Since,

         p= Given Value/Total value x100

thus,

        a/100x100=30%

        The hundreds cancel out.

Thus, a=30 -(i)

The number of items sold in the second hour= b

b=10 (provided in the question) -(ii)

Let the total number of items sold be=T

The total number of items sold= a+b

From (i) and (ii)

Total number of items sold=30+10

Thus,

        Total number of items sold=40 -(iii)

Number of items that have not been sold(n)=100-(a+b)

                                                                        =100-T

                                                                        = 100-40

                                                       From (iii)

                                                                     n = 60 -(iv)

Then,

          Percentage of items that have not been sold = n/100x100

                                                                From -(iv)              

                                                                                      = 60/100x100

          Canceling hundred by hundred                      

                                                                                      = 60%

Thus,

          Answer: The percentage of items that have not been sold is: 60%

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A line passes through the point
(8, 7) and has a slope of 4

Write an equation in slope-intercept form for this line.

Answers

[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ 4}(x-\stackrel{x_1}{8}) \\\\\\ y-7=4x-32\implies {\Large \begin{array}{llll} y=4x-25 \end{array}}[/tex]

Answer:

y = 4x -25

Step-by-step explanation:

y = 4x + b

we must find the y intercept

plug in the point

7 = 4(8) + b

7 = 32 + b

subtract 32 from both sides

-25 = b

the y intercept is -25

plug in -25 for b

y = 4x - 25

Evaluate the expression for the given value of the variable. 52+1/5(-1/2)

Answers

The simplified form of the expression 52 + 1/5(-1/2)  is [tex]\frac{519}{10}[/tex]

What is a fraction?

A fraction is a ratio of two integers.

The integers are always in two parts separated by a division line. the part above the division line is called the numerator and the part below the division line is called the denominator.

52 + 1/5(-1/2)

Multiply out the fraction

we have

52 + (-1/10)

52 - 1/10

to make 52 have the same denominator as 1/10 we multiply 52 by 10/10 so that it becomes

520/10 - 1/10

simplifying the numerator we have,

[tex]\frac{520 - 1}{10}[/tex] =  [tex]\frac{519}{10}[/tex]

In conclusion the solution to 52+1/5(-1/2) is  [tex]\frac{519}{10}[/tex]

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If you roll a die three times, how many different sequences are possible? a. 6 cubed = 216 b. 3 superscript 6 baseline = 216 c. 3 superscript 6 baseline = 729 d. 6 cubed = 729

Answers

Total number of outcomes in rolling a die 3 times = [tex]6^3[/tex]  =216

What is outcome of an event?

Suppose an event is happening. The result of the event is called outcome of the event.

For example : let the event be throwing of a die. One of the outcome of the event is getting a 4 on the die

Number of outcomes of rolling a die first time = 6

Number of outcomes of rolling the die second time = 6

Number of outcomes in rolling a die third time = 6

Total number of outcomes in rolling a die 3 times = [tex]6 \times 6 \times 6[/tex]

                                                                                   = [tex]6^3[/tex]

                                                                                   = 216

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Choose the equation that represents the graph shown

Answers

Answer:

[tex]y=|x|-4[/tex]

Step-by-step explanation:

The vertex of the graph is at (4, 0).

This eliminates all of the options except for [tex]y=|x|-4[/tex].

the population of a city increases by 4,000 people each year. in 2005 the population is projected to be 450,000 people. what is an equation that gives the city's population p (in thousands of people) x years after 2010

Answers

Equation represents the population of the city 'p' in thousand of people in x years when in 2005 projected population is 450,000 and increases by 4,000 people each year is given by p = 4x + 450.

Total population in 2010 is equal to 470,000 people.

As given in the question,

Let 'p' represent the population in thousands of people.

Let x represents the number of years.

Population projected in 2005 = 450,000 people

                                                 = 450 ( in thousand people)

Population increases by 4000 people each year that is equal to 4 (in thousand of people)

Required equation to represent the population in x years ( in thousand of people ) is given by:

p = 4x + 450

Population in 2010 is equal to :

p = 4 ( 2010 - 2005) + 450

 = 4(5) + 450

= 20 + 450

= 470 ( in thousand of people)

= 470,000 people

Therefore, equation represents the population of the city 'p' in thousand of people in x years when in 2005 projected population is 450,000 and increases by 4,000 people each year is given by p = 4x + 450.

Total population in 2010 is equal to 470,000 people.

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pls give answer pls pls

Answers

Answer:

k = 13

Hope this helps : )

Step-by-step explanation:

To solve the equation, we need to first isolate the variable by doing the inverse operation which in this case is dividing since 7 is being multiplied with the variable k.

1. Divide 7 on both sides of the equal sign.

7k = 91

7 7

2. Answer.

The 7 cancels out so we are left with k = 13 since

91 ÷ 7 = 13

k = 13

3. Check.

Plug in the variable "k."

7(13) = 91

91 = 91 ✓

Which description matches the graph of the inequality y <|x-2| + 1

Answers

A shaded region above a solid boundary line matches the graph of the inequality y <|x-2| + 1.

What is inequality?

Inequality is a relationship between two expressions or values that is not equal to each other.

This inequality may be written in two ways:

(a) y < x - 2 + 1

   or

   y < x - 1

(b) y < -x +2 + 1

   or

    y < -x + 3

A graph of the inequality is shown below. The shaded region satisfies the inequality.

Hence, a shaded region above a solid boundary line matches the graph of the inequality y <|x-2| + 1.

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A rectangle is 25 cm on one side and 6 cm on another side. What is the perimeter?

Answers

Answer:

31

Step-by-step explanation:

Please help pleaseee

Answers

According to the Pythagoras theorem, the value of x is 13.76

Pythagoras theorem:

“In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“ is known as Pythagoras theorem.

Given,

Here we have the triangle with the side values.

Now, we have to find the value of x through this given values.

In order to calculate the value of x,

First, we need the value of the side KM.

Let us consider the value of KM is y.

Then according to the concept of Pythagoras theorem,

The value of y is calculated as,

=> (12.3)² = y² + (5.4)²

=> 151.29 = y² + 29.16

=>  y² = 122.13

=> y = 11.05

Therefore, the value of the hypotenuse  x is calculated as,

=> x² = (11.05)² + (8.2)²

=> x² = 122.13 + 67.24

=> x² = 189.37

=> x = 13.76

Therefore, the value of x is 13.76.

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wilma can mow a lawn in 120 minutes. vanessa can mow the same lawn in 80 minutes. how long does it take for both wilma and vanessa to mow the lawn if they are working together?

Answers

Working together, they can mow the yard in 48 minutes.

Given data;

A lawn can be mowed by Wilma in 120 minutes. In 80 minutes, Vanessa can cut the same lawn. When working together, how long does it take Wilma and Vanessa to mow the lawn?

Let 't' is their time in minutes working together.

Add their rates of working to get their rate working together,

Wilma's rate: [ 1 lawn ] / [ 120 min ]

Vanessa's rate: [ 1 lawn ] / [ 80 min ]

Rate working together: [ 1 lawn ] / [ t min ]

1/120 + 1/80 = 1/t

Multiply both sides by 240t;

2t + 3t = 240

5t = 240

t = 48

It takes them 48 min to mow the lawn working together.

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4) A pizza shop sells pizzas that are 12 inches (in diameter) or larger. A 12 inch cheese pizza costs $9. Each additional inch costs $1.75, and each additional topping costs $0.50. Write an equation that represents the cost of a pizza. Be ure to specify what the variables represent.​

Answers

The equation to represent the cost is C =  8 + 1.50x + 0.75y.

To write an equation that represents the cost of a pizza.

An equation that represents the cost of a pizza will be

C = 9 + 1.75x + 0.50y

   Fixed cost = $9

   Cost of additional inch = 1.75x

   Cost of additional topping = 0.50y

Total cost (C) will then be:

= 9 + (1.75 × x) + (0.50 × y)

C = 9 + 1.75x + 0.50y

Hence the answer is, the equation to represent the cost is C =  8 + 1.50x + 0.75y.

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Pls help me thank you

Answers

The value of y is  x/2 + c/5  

Given,

In the question:

5x - 7y = 3y - 2c

To find the value of y.

Now, According to the question:

The equation is given as:

5x - 7y = 3y - 2c

Combine the like terms:

-7y - 3y = -5x - 2c

Calculate the sum or difference:

-10y = -5x - 2c

y = -5x/-10 - 2c/-10

Calculate the product or quotient :

y = x/2 + c/5

Hence, The value of y is  x/2 + c/5

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Each month, kaisorn deposits $50. 00 onto her public transportation card. It costs her $2. 50 per trip to ride the subway. Thom deposits $40. 00 on his public transportation card. It costs him $2. 00 per trip to ride the subway. If x represents the number of trips and y represents the amount remaining in each account, which system of equations represents their transportation costs? 50 − 2. 5x = y 40 − 2x = y 50 + 2. 5x = y 40 + 2x = y 50 − 2. 5y = x 40 − 2y = x 50 + 2. 5y = x 40 + 2y = x.

Answers

The system of equations represents their transportation costs is:

50 − 2. 5x = y

40 − 2x = y

The correct option is  (A)

Given,

In the question:

Kaisorn deposits $50. 00 onto her public transportation card.

It costs her $2. 50 per trip to ride the subway.

Thom deposits $40. 00 on his public transportation card.

It costs him $2. 00 per trip to ride the subway.

Now, According to the question:

x → represents  the number of trips

y → represents the amount remaining in each account

According to the given condition:

The system of equations represents their transportation costs is :

50 − 2. 5x = y

40 − 2x = y

Hence, The system of equations represents their transportation costs is:

50 − 2. 5x = y

40 − 2x = y

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necesito saber como se resuelve

Answers

La ecuación exponencial 9ˣ⁺¹ + 3 = 28.3ˣ tiene una solución en x ≈ 1.922.

¿Cómo resolver un ecuación exponencial?

Aquí tenemos una ecuación exponencial en forma implícita, esto es, que la variable x no está en términos implícitos de las constantes de la ecuación.

Esta forma se puede resolver mediante métodos gráficos, a partir de la graficación del siguiente sistema de ecuaciones:

f(x) = 9ˣ⁺¹ - 28.3ˣ - 3

g(x) = 0

La solución es todo punto tal que f(x) = g(x).

A continuación, se grafica cada ecuación en un plano cartesiano mediante una herramienta gráfica. De acuerdo con la imagen, la solución de la ecuación es x ≈ 1.922.

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there is a line whose slope is 1 and whose y-intercept is -9, what is its equation in slope-intercept form?

Answers

slope intercept form is y=mx+b. so therefore, y=m1-9

A student was asked to name all values of n that make the relation a function. Correct the error.
{(2,8), (6,0), (4,2), (2n,n)}
n can be any value except 2,6, or 4

Answers

The correct statement is that the value of n that make the relationship a function are any value except 1, 3, or 2

What is a function in mathematics?

A function is a relationship that maps the elements of a set A to the elements of a set B, such that each element of A is mapped to exactly one element of the set B.

The ordered pair of known values are a function as the elements of the input variable are all different and the element of the output variable are also different, which indicates a 1 to 1 relationship.

The known elements of the set A in the question are; 2, 6, and 4

The elements of the set A are known as the domain of the function.

The known element of the set B are 8, 0, and 2

The fourth ordered pair (2·n, n), has a value similar to the pair (4, 2)

To prevent the presence of the elements 2,. 6, and 4, being assigned to other elements apart from 8, 0, and 2, the value of 2·n can be any value except 2, 6, 4

Therefore;

n can be any value except 2/2 = 1, 6/2 = 3, or 4/2 = 2

The correct statement is therefore;

n can be any value except 1, 3, or 2

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Solve the equation or formula for the variable indicated.
X-2y=1

Answers

Answer:

Step-by-step explanation:

-2y = -x -1
2y = x+1
y = 1/2x+1/2

Other Questions
true or false? health insurance policies have not used lifetime limits to control total exposure for the costs of care. iodine, i2, is a solid at room temperature but sublimes (converts from a solid into a gas) when warmed. what is the temperature (in kelvin) in a 0.0733 l bulb that contains 0.292 g of i2 vapor at a pressure of 0.462 atm? (use the ideal gas law with the appropriate r value and remember to convert g to mol). The figures below show the top view and right-side view of a rectangular prism that is completely packed with unit cubes.How many unit cubes would it take to completely fill the prism with no gaps between unit cubes? PLEASEEEEE HELP MEEEE MATHHHHHHHHHHHHHH SUCKS FOR ME if $10,000 is invested at 7% annual interest, which is compounded continuously, what is the account balance after 8 years, assuming no additional deposits or withdrawals are made? Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of -2 a client who has just been told that she is pregnant wants to know when the baby's heart will be completely developed and beating. the nurse reads in the client's chart that the primary health care provider has determined the client to be at 6 weeks' gestation. what is the nurse's best response? A 200 N object is resting on a surface with a s = 0.15. A person pushes horizontally with a force of 20 N. Calculate the magnitude of the force of friction. As part of his semester project, a byu-idaho introductory statistics student calculates a 95% confidence interval for the true percentage of byu-idaho students who are from latin america. What does the phrase 95% confidence mean?. The sum of an integer and 4 times the next consecutive even integer is 58. Find thevalue of the greater integer. what are dimmesdales last words? what is the significance of these words and the situation in which they are spoken? Which of the following were activities that were common ways for children toparticipate in the Revolutionary War? Select ALL that are correct.hint... there are 4Select 4 correct answer(s)Making cannonRunning bulletsBaking biscuits (soldiers' food)Making soldiers shoesMaking cartridgesmaking haversacks (soldiers' bags) A shape is picked at random from the group below.2 circles, 4 triangles, and 2 squares.Which event has a theoretical probability of exactly Three-fourths? Select three options.not picking a squarepicking a squarepicking a trianglepicking a shape that has only straight edgesnot picking a circle*EDIT* sry about the first time I was trying to look it up and only had that part deliberate manipulation of government spending and taxes to promote macroeconomic goals is known as group of answer choices discretionary fiscal policy. automatic stabilizers. expansionary fiscal policy. contractionary fiscal policy. monetary policy. what was labors contribution to the war need? the mayor introduced to as many voters as she could. reflexive or intensive? A rectangle is made up of green and red tiles. The ratio of green tiles to red tiles is 3 : 4. Which of the following could be the number of green tiles in the rectangle? What is the value of 10a - 4b when a = 3 and b = 6? Direct labor is ______. which body of water do rivers not flow to in the east?