you are asked to construct the bisector of

You Are Asked To Construct The Bisector Of

Answers

Answer 1

You should have started the building on the opposite ray; you started it on the incorrect ray. It divides R into two parts

How do you construct a bisector of an angle?

Draw an arc across both of the angle's rays beginning at the vertex.Draw a new set of intersecting arcs from each pair of existing arcs.The angle bisector is created by drawing a line from the vertex to the intersection.

A line that bisects or splits an angle into two equal halves is called an angle bisector. If the angle's measurement is known, all we would need to construct an angle bisector geometrically is a ruler, pencil, compass, and protractor. An angle bisector can cut any angle in half.Make an arc that touches both sides. Place the cursor where the arc meets the horizontal side. On the inside of the angle, make a second arc mark.

The correct answer is option d)You started the construction the wrong ray, you should have started on the other.

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Related Questions


Describe fully the single transformation that the maps triangle a onto triangle b

Answers

The transformations that took for mapping ΔA onto ΔB are:

a) Translated the triangle A 2 units to the right,

b) Reflected the ΔA' (translated A) over the y-axis,

c) Reflected the ΔA'' (reflected A) over the x-axis, resulting in ΔB.

What are transformation rules applied to triangle A to form triangle B?

The transformation rules are:

a) Translation: (x, y) ⇒ (x + 2, y) (In the right side direction)

b) Reflection over the y-axis: (x, y) ⇒ (-x, y)

c) Reflection over the x-axis: (x, y) ⇒ (x, -y)

Calculation:

The given vertices of triangle A are: (-2, 3), (-5, 3), and (-5, 5).

a) Applying translation by 2 units to the right to triangle A:

(-2, 3) → (-2 + 2, 3) → (0, 3)

(-5, 3) → (-5 + 2, 3) → (-3, 3)

(-5, 5) → (-5 + 2, 5) → (-3, 5)

So, triangle A is translated to triangle A'.

b) Applying reflection over the y-axis to the triangle A':

(0, 3) → (0, 3)

(-3, 3) → (3, 3)

(-3, 5) → (3, 5)

So, triangle A' is reflected as triangle A''.

c) Applying reflection over the x-axis to triangle A'':

(0, 3) → (0, -3)

(3, 3) → (3, -3)

(3, 5) → (3, -5)

Thus, the formed triangle is B at the vertices (0, -3), (3, -3), and (3, -5).

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class council is selling prom tickets for $55 per person.the senior class consists of 342 students,who are each allowed to bring one date from another school.complete the table(if needed) and answer the questions below

Answers

Answer: Here is a completed table for the scenario described:

Class Number of Students Number of Dates Total Tickets Sold

Senior             342                      342                         684

Total Revenue

   $37,620

Based on this information, the following information can be determined:

The senior class is selling a total of 684 prom tickets.

The total revenue from prom ticket sales for the senior class is $37,620.

I hope this helps! Let me know if you have any other questions.

State all integer values of x in the interval [-4, 2] that satisfy the following Inequality:
4x + 5<-6

Answers

Integer values of x in the interval [-4, 2] that satisfy the following Inequality: 4x + 5 < -6 are -4 and -3.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

A sign of inequality can be used to show that one of the two variables is larger than, more than or equal to, less than, or equal to another value.

Income gap, gender inequality, access to health care, and social class are some of the most prominent instances of social inequality.

Given the inequality:

4x + 5 < -6

Therefore the all values of x which satisfy the given inequality on the interval [-4,2].

So, x= -4 and x= -3

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8. Which transformations will map g(x) onto h(x)? Select all that apply.
A reflection across the x-axis
A reflection across the y-axis
A horizontal shift left 10 units
a.
b.
C
d. A horizontal shift right 10 units
A vertical shift up 4 units
A vertical shift down 4 units
6.
f.
M

Answers

A reflection across the x-axis and horizontal shift right 10 units are transformations that can be applied.

Define transformation.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century. In geometry, object transformations constitute the foundation for the majority of proofs. Transformations allow us to change any image in a coordinate plane. The rules of transformations can be utilised to better understand the images used in video games. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation.

Given

Transformations that apply,

A reflection across the x-axis

A horizontal shift right 10 units

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thats all of my points if yo get it right i give u an thanks and i will choose you as the brainlyest answer.

Answers

B. 1/4. B is missing the last cube which is 1/4 of it

Answer:

3/4

Step-by-step explanation:

B is highlighting 3 for the 4 rows.

Which is the equation for line b

Answers

Answer: C

Step-by-step explanation:

Slope is rise over run. Let's start at (0,0) and we want to see when the line hits another point, which can be (2,1.5). We count that starting from 0, the point goes up by 3 and then runs by 4. Therefore, the answer is 3/4, which is C.

please help, this is my finals & i don’t know it

Answers

The equation that relates the graph is a) y= - 1/2(x-3)²+2

How to find Slope intercept?

Here Let put x=7

y= -1/2(x-3)²+2

= -1/2(7-3)²+2

= -1/2(4)²+2

= -1/2(16)+2

= - 8+2

= - 4

Hence (7,-4) is marked.

Slope-intercept equations are a particular kind of linear equation. It follows the overall structure. The two real numbers in this example are and. For instance, they are slope-intercept form linear equations. SlopeIn mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. There is no definitive solution to the question of why the letter m is used for slope, but O'Brien (1844), who developed the equation of a straight line, uses it for the first time in English. A line is defined by the equation y = mx + b, which is also known as the slope-intercept form.

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help ???????????????

Answers

a. 4(x - 5)^2

= 4 * (x - 5)^2

= 4 * ((x - 5) * (x - 5))

= 4x^2 - 40x + 100

b. 3(x + 1) (2x - 9)

= (3(x + 1)) (2x + −9)

= (3(x + 1))(2x) + (3(x + 1))(−9)

= 6x^2 + 6x − 27x − 27

= 6x^2 − 21x − 27

c. -2(4x + 2)^2

= -2 * (4x + 2)^2

= −2 * ((4x + 2) * (4x + 2))

= 32x^2 − 32x − 8

or d. -2(4x + 2)^2 - 5 (with subtracting 5)

= −32x^2 + −32x + −8 + −5

= (−32x^2) + (−32x) + (−8 + −5)

= −32x^2 + −32x + −13

d. -3(5x - 2)^2 + 5 (with negative)

= 75x^2 + −60x + 12 + 5

= 75x^2 + −60x + 12 + 5

= (75x^2) + (−60x) + (12 + 5)

= 75x^2 + −60x + 17

or d. 3(5x - 2^2 + 5 (without negative)

= (3)(5x + −4 + 5)

= (3)(5x) + (3)(−4) + (3)(5)

= 15x − 12 + 15

= 15x + 3

PLEASE HELP ASAP!!!
Sharon wants to switch from cable to satellite TV. She calls Great Vista Satellite to get a quote. After looking at her cable bill, the salesperson explains that they can provide the same 300 channels Sharon has for $0.20 less per channel. If she switches, her monthly satellite bill will come to $180.

Which equation can Sharon use to find c, the average amount the cable company charges per channel?

0.20(c - 300)
0.20c - 300
300(c - 0.20)
300c - 0.20

How much on average does the cable company charge per channel?

Answers

The equation Sharon can use to find c, the average amount the cable company charges per channel is 300(c - 0.20) = 180.

The cable company charges an average of $0.80 per channel.

What is an Equation?

An equation involves two expressions or statement on two sides connected with an equal sign.

Total number of channels = 300

Let c be the cable company charges per channel.

Then the charge satellite company charges per channel = c - 0.20

Monthly charge of satellite company = 300(c - 0.20)

Monthly satellite bill = $180

So,  300(c - 0.20) = $180

⇒ c - 0.20 = 180/300

⇒ c - 0.20 = 0.60

⇒ c = 0.60 + 0.20

⇒ c = 0.80

Hence the equation used to find the cable company charge per channel is 300(c - 0.20) = 180 and the cable company charge per channel is $0.80.

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find the inverse of f(x)=√x+4-2

Answers

f−1(x)=4x+8 is the answer . I have no steps sorry

how fast is the top of the ladder moving down the wall when its base is 12 feet and 35 feet from the wall?

Answers

The top of ladder is moving down the wall at the rate of 1.375 ft/sec .

In the given question we have to find how fast is the top of the ladder moving down the wall.

Let the distance between floor and top point of ladder = x

the distance between wall and bottom point of ladder = y

Using Pythagorean law,

x^2+y^2 = (12)^2

x^2+y^2 = 144.....................(1)

Differentiating with respect to t:

d/dt (x^2+y^2) = d/dt (144)

2xdx/dt+2ydy/dt = 0

Given that

dy/dt = 3

So 2xdx/dt+2y*3 = 0

2xdx/dt+6y= 0

dx/dt = - 3y/x

Using (1):

dx/dt = -3y/√144-y^2  

When y = 5:

dx/dt = -3(5)/√144-(5)^2

dx/dt = -15/√144-25

dx/dt = -15/√119

dx/dt = -15/10.91

dx/dt = -1.375

So the top of ladder is moving down the wall at the rate of 1.375 ft/sec .

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The right question is:

A ladder 12 feet long is leaning against a house. The base of the ladder is pulled away from the wall at a rate of 3ft/sec. How fast is the top of the ladder moving down the wall when its base is 5 feet from the wall?

Age is an example what kind of data categorical or quantitative?

Answers

Age, BMI, creatinine, and the amount of time between conception and death are a few examples of quantitative characteristics.

How do you know if data is categorical or quantitative?Any variable where the data indicate amounts is referred to be a quantitative variable (e.g. height, weight, or age). Any variable where the data reflect groupings is referred to be a categorical variable.A categorical variable's data will always be qualitative, while a numeric variable's data will always be quantitative. As a result, based on whether the variable is numeric or categorical, you may determine the kind of data before it is collected.Data types that may be kept and recognized based on the names or labels assigned to them are referred to as categorical data. Data that is expressed as numbers rather than in any linguistic or descriptive form is referred to as numerical data.

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What is the slope of the equation 3x+20=-4?

Answers

The slope of the equation 3x+20=-4 is 8.

How may mathematical expressions be made simpler?

Mathematical operations may be made more simpler by using the right order of operations. Exponents, words in parentheses, multiplication, division, addition, and ultimately subtraction are the right order of operations. PEMDAS is a helpful acronym that you may use to remember this.

1. Subtract 20 from both sides

[tex]\begin{aligned}& 3 x+20=-4 \\& 3 x+20-20=-4-20\end{aligned}[/tex]

2. Simplify

Subtract the numbers

3 x=-24

3. Divide both sides by the same factor

[tex]\begin{aligned}& 3 x=-24 \\& \frac{3 x}{3}=\frac{-24}{3}\end{aligned}[/tex]

4 Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x=-8

Y = mx + b, where m is the slope and b is the y-intercept, is the slope equation utilising the equation of a line.

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Vashti is designing the cover of the school yearbook. She wants to draw a flower on the cover that looks the same for each rotation of 45 degrees. How many petals should the flower have?

Answers

The number of petals that the flower should have is of:

8 petals.

When does a figure has rotational symmetry?

A figure has rotational symmetry when it can be rotated by an angle measure which is greater than 0º and less than 360º and the rotated image is equals to the original figure, that is, the image is equals to the pre-image.

In this problem, we want the flower to have a rotation symmetry of 45 degrees.

The total angle measure of the flower is given as follows:

360º.

Then the number of petals needed for the flower to have a rotational symmetry of 45º is calculated as follows:

360/n = 45.

Applying cross multiplication, we have that:

45n = 360

n = 360/45

n = 8 petals.

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A student must save at least $675 plus 3% tax to buy a round-trip ticket to London. The student has $98 saved already.

If the student earns $32 per week and plans to save half of the earnings each week toward the ticket cost, how many weeks will it take the student to save enough money for the ticket?

Answers

It will take 38 weeks a student to save enough money for the ticket.

What is division?

Mathematical operations come in several types, with division being one. The phrases or numbers are divided into the same number of components during this operation.

Given,

a student must save at least $675 plus 3% tax to buy a round-trip ticket to London.

3% of 675

= 3 x 675 / 100

= 20.25

The student has $98 saved already.

Now student needs ($675 - $98) + 20.25 = $577 + 20.25

= $597.25

If the student earns $32 per week and plans to save half of the earnings each week toward the ticket cost.

That means, $32 / 2 = $16 per week.

To find the amount of enough money:

Divide $597.25 by $16.

597.25 /16

= 37.328125

≈ 38 weeks

Therefore, student will save for 38 weeks.

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(-x-y+2z = −21
(5x-3y - 2z=-23
If the equations above are true, which of the following is a value of X-Y?
A:5
B:16
C:-11
D:0
E:21

Answers

Answer: E

Step-by-step explanation:

Determine if the triangle pairs are similiar.

Answers

Yes , the triangles ΔSTU and ΔSRQ are similar triangles

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔSTU

Let the second triangle be ΔSRQ

Now , for the triangles to be similar , the corresponding sides of the triangles should be in the ratio

So , on simplifying , we get

The measure of side ST = 21

The measure of side SU = 35

The measure of side SQ = 6

The measure of side SR = 10

Now , for similar triangles ,

ST / SQ = SU / SR

Substituting the values in the equation , we get

21 / 6 = 35 / 10

3.5 = 3.5

Therefore , the corresponding sides of the triangles are equal

Hence , the pair of triangles are similar triangles

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help me pls help help

Answers

Answer:

6. Scalene, No congruent sides

7. Isosceles, 2 congruent sides

8. Equilateral, All congruent sides


Four more than the product of a number and 8 is equal to 7.

Answers

Answer: x = 0.375

Step-by-step explanation:

Equation: 8x + 4 = 7

Subtract 4 on both sides

8x = 3

Divide by 8 on both sides

x = 3/8 is 0.375 decimal

x = 0.375 (0.38 round-up)

Answer:

x = 3/8

Step-by-step explanation:

Four more than the product of a number and 8 is equal to 7.

4 + 8x = 7

8x = 7 - 4

8x = 3

x = 3/8

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

check

4 + 8 x 3/8 = 7

4 + 3 = 7

7 = 7

the answer is good

Un article voit son prix augmenter successivement de 10%, de 6 %, puis de 8 %.
Puis en période de solde, son prix baisse de 16 %.
Quel est son taux d'évolution global ?
À quel pourcentage cela correspond-il? (On donnera deux décimales de précision pour le pourcentage.)

Answers

Il est impossible de répondre à cette question car les informations fournies sont insuffisantes. La formule pour calculer l'évolution de prix d'un article en fonction de différentes augmentations et/ou baisses de prix est la suivante :

(1 + t1) x (1 + t2) x ... x (1 + tn) - 1

Dans cette formule, t1, t2, ..., tn sont les différents taux d'augmentation et/ou de baisse de prix en pourcentage. Par exemple, si un article augmente de 10 %, t1 sera égal à 0,1. Si ensuite le prix de l'article augmente de 6 %, t2 sera égal à 0,06.

Pour pouvoir calculer l'évolution de prix de l'article en question, il faudrait connaître les valeurs exactes des différents taux d'augmentation et/ou de baisse de prix. Sans ces informations, il est impossible de calculer l'évolution de prix de l'article

Solve for x in the circle

Answers

An angle is outside a circle if its vertex is outside the circle and its sides are tangents or secants. Here the angle is formed by two tangents,

The value of x is 80°.

What is a Tangent?

The tangent is defined as a line touching circles or an ellipse at only one point. Suppose a line touches the curve at P, then the point “P” is called the point of tangency.

Calculation:

As we know that the complete angle of the circle is 360°

The answer for x° is 360° - 260° = 100°

⇒ 260°- 100° = 160° now,

⇒ 160°/2 = 80°

∴ x = 80°

Hence, for the given two tangents formed the answer for x° = 80°

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Matrix X is a 4 x 3 matrix.
Matrix Y is a 3 x 2 matrix.
What is the order of the product XY?
O a. 4x3
O b.
4x2
O c. 3x3
Od. The matrices cannot be multiplied
Oe. 3 x 2

Answers

The order of the product XY would be a 4 x 2 matrix which is the correct answer would be an option (B).

How to determine the order of the product of two matrices?

The order of the product of two matrices is determined by the number of rows in the first matrix and the number of columns in the second matrix.

Matrix X is a 4 x 3 matrix.

Matrix Y is a 3 x 2 matrix.

As per the given question, the product XY would have 4 rows (the same as the number of rows in matrix X) and 2 columns (the same as the number of columns in matrix Y).

Size of a matrix = number of rows × number of columns.

Size of a matrix = 4 x 2

Therefore, the order of the product XY would be a 4 x 2 matrix.

Hence,  the correct answer would be an option (B).

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What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long? round answers to the nearest tenth.

Answers

The lengths of the legs of a right triangle 4.884 units and 14.18 units

In this question, we have been given a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long.

We need to find the lengths of the legs of a right triangle.

Consider a right triangle ABC with ∠B = 90° and ∠C = 19°

Consider sine of angle C

sin(C) = AB/AC

sin(19°) = AB / 15

AB = 0.3256 * 15

AB = 4.884

Using Pythagoras theorem,

AC² = AB² + BC²

15² = 4.884² + BC²

BC = √(225 - 23.85)

BC = 14.18 units

Therefore, the lengths of the legs of a right triangle:

AB = 4.884 units

BC = 14.18 units

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Zhi bought 18 tickets for games at a fair. Each game requires 3 tickets. Zhi wrote the
expression 18
3g to
find the number of tickets she has left after playing g games.
Diego correctly wrote another expression, 3(6 -
g), that will also find the number of
tickets Zhi has left after playing g games.
Use the drop-down menus to explain what each part of Zhi's and Diego's expressions
mean.

Answers

Answer:

Zhi's Expression:

18: The total number of tickets

3: The number of tickets required for each game

g: The number of games played

Diego's Expression:

3: The number of tickets required for each game

(6 - g): The total number of tickets minus the number of games played

Step-by-step explanation:

the distribution of scores on a recent test closely followed a normal distribution with a mean of 22 points and a standard deviation of 2 points. for this question, do not apply the standard deviation rule. (a) what proportion of the students scored at least 27 points on this test, rounded to five decimal places?

Answers

Therefore ,0.62097 % proportions  of students scored at least 27 points on this test

What do you learn from z-scores?

The Z-score provides information on how far a given value deviates from the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations above or below the mean a specific data point falls. The level of variability within a particular data collection is effectively reflected in the standard deviation.

Here,

z = (x - μ)/σ

here ,raw score =x ,standard deviation=σ   and mean= μ  

μ = 22, σ = 2

For x > 27:

z = (27 - 22)/2 = 1

P(z > 1) = 1 - P(z < 1) = 1 -  0.99379  =  0.0062097

Therefore , 0.62097 % of students scored at least 27 points on this test

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A function p(x) is shown on the graph below.
O True
O False

Answers

Answer:

True

Step-by-step explanation:

The point [tex](0,3)[/tex] lies on the graph.

True (0,3) points on graph

one number is 4 less than 3 times a second number. Two times the first number decreased by two times the second is 8. what is the value of the larger number?
A.4
B.12
C.8
D.2
E.14

Answers

Answer:

Step-by-step explanation: To solve the problem, we can use the given information to set up a system of equations and solve for the values of $x$ and $y$. Specifically, we are given that one number is 4 less than 3 times a second number, and that two times the first number decreased by two times the second is 8.

Let $x$ represent the larger number, and $y$ represent the second number. We can write the given information as a system of equations as follows:

x &= 3y - 4

2x - 2y &= 8

Solving this system of equations, we find that $x = 12$ and $y = 2$. Therefore, the value of the larger number is 12

please help, this is my finals & i don’t know it

Answers

Answer:

i think that answer is correct

Step-by-step explanation:

The length of a side of a cube is 4x units. In cubic units, what is the volume of the cube?

Answers

Answer:

volume of cube= l^ 3

=(4x)^3

=64x^3 cubic units

Below are the fees of a parking lot.


First 2 hours = $5

Every 1/2 hour (or part of a half hour) afterward = $3.50


Mr. Garcia parked his car from 5:00pm to 11:15pm on the same day. How much did he pay for par

Answers

Answer:

145.54$

Step-by-step explanation:

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joint committees of the texas house and senate that work out differences in bills passed in each chamber are referred to as committees. Given the following exponential function, identify whether the change representsgrowth or decay, and determine the percentage rate of increase or decrease.y = 10(1.01) a contract that has been fully performed by the parties is called an executory contract question 49 options: True or false What name was given to the two elected officials where one manages the government and the other commands the army? Use technology to find an equation of the line of best fit for the data. Round the slope tothe nearest tenth and the y-intercept to the nearest integer.X=0,1,2,3,5,6,7Y=-8,-5,-1,-1,2,5,8 observing visual art helps you become a more empathetic person because of what To cater a holiday banquet, Food Service LLC agrees to buy one hundred pumpkin pies from Great Desserts Inc. To be enforceable, the agreement must be in writing if the pies cost at least$500 Merritt was sixteen when she pulled the trigger and shot and killed Cesar to steal his car. Merritt cannot besentenced to death, even in a state where the death penalty is allowed, because she is aminorstudentfirst-time offenderwoman PLEASE HELP FAST!!!! I AM BEING TIMED!!!!!41.The writer is considering adding the following sentence after sentence 1.Yet some of the most historically significant, world-changing documents were written in cursive, including the US Constitution, the Declaration of Independence, and the Magna Carta. Should the writer make this addition?A. Yes, because the sentence includes descriptive language and specific details that engage the audience and focus them on the topic.B. Yes, because the sentence implies the historical significance of the argument on which the passage is focused.C. Yes, because the sentence engages the audience with a personal observation from the writer of the passage.D. No, because the sentence lists examples that are irrelevant to a modern audience and would likely confound them.E. No, because the sentence contradicts the evidence presented in the previous sentence and negates the main claim. which of the following is a source of gaining wealth whereby corporate raiders either push companies to change their corporate strategy to one that will benefit stockholders, or charge a premium for stock when the company wants to buy it back? a stock option greenmail self-dealing on-the-job consumption risk capital which of the following confederate states seceded after the fall of fort sumter?a.responses mississippi and georgia b.mississippi and georgia c.florida and delaware d.connecticut and new york e.virginia and arkansas e.what if the central bank abandons inflation targeting and creates inflation of 10 percent by printing money. if agents (consumers) even after several periods expect that inflation will continue to be 8 percent, what will be the unemployment rate? are agents being rational? why or why not? if agents have adaptive expectations, what will be the expected inflation rate and the unemployment rate in the next period? assume that there were multiple offers the iuros were considering before accepting the redemanns' offer. what may the agent disclose to potential offerors if the iuros have not specifically instructed the agent otherwise? a) the loan terms of any competing offer b) the names of other offerors c) that the iuros are considering more than one offer d) the sales price of any competing offer select the statement that correctly distinguishes between relay proteins and second messengers in signal transduction pathways. Annette's Floral Shop has a charge account with Southern Flowers, a wholesaler where shebuys her floral supplies. This month, Annette has purchased 16 dozen roses at $30.96 perdozen, 40 dozen chrysanthemums at $17.80 per dozen, and 20 dozen tulips at $21.10 perdozen. In her state, Annette must pay a 6% sales tax on all orders. At the end of the month,what is the balance on Annette's charge account? Find the surface area 5 4 7 6 8 triangular Express in a single log term a student needs 11 more classes to graduate. if she has met the prerequisites for all the classes, how many possible schedules for next semester could she make if she plans to take 4 classes? A genre of american folk music with blues and jazz influences that disappeared in the us, but was revived in the uk in the 1950s where it helped launch rock and roll.a. Trueb. False a community isgroup of answer choicespopulations of organisms and the abiotic factors in their environmentpetition for food between individuals in a population.multiple organisms of the same species living in a specific area.all the biotic and abiotic factors in an environment.populations of multiple species interacting with one another in a specific area.