State the order and type of each transformation of the graph of the function f(X)=4(X+9)^2 as compared to the graph of the base function

Answers

Answer 1

Using translation concepts, the function f(x) was evaluated by comparing to the graph of a base function g(x) = x².

stretched vertically by a factor of fourShifted 9 units to the left.What exactly is a translation?In mathematics, a translation is the movement of a shape to the left or right and/or down or up. The translated shapes appear to be the same size as that of the original shape, and thus the shapes are congruent. They were simply shifted in one or even more directions. There's no change in shape because it is simply moved from one location to another.

A translation is signified by a change with in function graph, based on operations in its definition including such multiplication or sum/subtraction.

The base function g(x) = x² in this problem was.Multiplied by 4, such that, stretched vertically by a factor of four.Shifted 9 units to the left.

Thus, the resultant function is obtained as (X)=4(X+9)²

To  know more about the translation, here

https://brainly.com/question/4521517

#SPJ13


Related Questions

Help me pleaseeeeeeeeee

Answers

The side lengths of the right triangle in exact form are z = (15√3)/2,   x = 15/2, y = (15√3)/4, a = 15/4 and b = 45/4.

How determine the sides of a right triangle using trigonometric ratios?

Three out of the six functions used in trigonometry is expressed as;

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

From diagram, we solve for side z of the right triangle.

cosθ = adjacent / hypotenuse

cos( 30° ) = z / 15

Solve for z

z = cos( 30° ) × 15

z = (√3)/2 × 15

z = (15√3)/2

Next solve for side x

sinθ = opposite / hypotenuse

sin( 30° ) = x / 15

x = sin( 30° ) × 15

x = 15/2

Solve for side y

sinθ = opposite / hypotenuse

sin( 60° ) = y / 15/2

y = sin( 60° ) × 15/2

y = (15√3)/4

Solve for side a

cosθ = adjacent / hypotenuse

cos( 60° ) = a / 15/2

a = cos( 60° ) × 15/2

a = 15/4

Solve for side b

b = 15 - a

b = 15 - 15/4

b = 45/4

Therefore the length of side of b is 45/4

Learn more about trigonometric ratio here: https://brainly.com/question/28038732

#SPJ1

A quadrilateral has two angles that measure 210° and 82º. The other two angles are in aratio of 7:10. What are the measures of those two angles?o andSubmit

Answers

Solution

The interior angles of a quadrilateral measure to 360 degrees

Two of them are known and are 210 and 82. They add to 292 degrees.

The other two angles must sum to (360-292)=68 degrees.

They are in a ratio of 7:10

The sum of these two numbers is 17

[tex]\frac{68}{17}=4[/tex][tex]\begin{gathered} 7\times4=28^0 \\ 10\times4=40^0 \end{gathered}[/tex]

The other two angles are 28 and 40 degrees respectively.

The sum of all 4 angles is 360 degrees.

The final answer

The other two angles are 28 and 40 degrees respectively.

Essential Question How can you write an algebraic expression?​

Answers

Answer:

Step-by-step explanation:

In algebraic expressions that use variables (written as letters), you can write them directly after a normal number, with no symbol between them.

...

Use a ⋅ or × sign if you see words like double, per, or product.

Twice 16 → 2 ⋅ 16.

Five per day → 5 ⋅ d or 5d. ...

The product of 8 and 20 → 8 ⋅ 20.

I need to solve this to get zero can you help?

Answers

sin 0 = 26/30

sin 0 = 0.87

0 = 60°

Result 0 = 60°

Given the following sets, find the set (A UB) n (AUC).U={1, 2, 3, ...,9}A = {1, 2, 4, 8}B = {3, 7, 9)C={1, 2, 3, 4, 6}Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. (AUB) n (AUC)=0(Use a comma to separate answers as needed. Use ascending order.)O B. (A UB) n (AUC) is the empty set.

Answers

From the data sets given

(A U B) = ( 1, 2 ,3 ,4 , 7, 8 , 9)

(A U C) = (1, 2 ,3 ,4 ,6 ,8)

(A U B) n ( A U C) = ( 1 ,2, 3, 4 ,8)

help please for my homework

Answers

A. The similar triangles are: B. ΔABC ~ ΔDBE

B. AC = 16

What is the Angle-Angle Similarity Theorem (AA)?

The angle-angle similarity theorem (AA) states that two triangles are similar to each other if two angles in one triangle are congruent to two corresponding angles in the other triangles.

The side lengths of two similar triangles are proportional to each other, which means they have ratio that is equal to one another.

Part A:

In the given diagram, triangles ABC and DBE have two pairs of corresponding angles that are congruent to each other which are: angle ABC ≅ DBE, and angle BCA ≅ BED.

Therefore, based on the AA similarity theorem: B. triangle ABC ~ triangle DBE.

Part B:

Since triangles ABC and DBE are similar triangles, therefore, BC/BE = AC/DE

Substitute

12/15 = (x + 1)/(x + 5)

Cross multiply

12(x + 5) = 15(x + 1)

12x + 60 = 15x + 15

Combine like terms

12x - 15x = -60 + 15

-3x = -45

-3x/-3 = -45/-3

x = 15

AC = x + 1 = 15 + 1

AC = 16

Learn more about AA similarity theorem on:

https://brainly.com/question/21247688

#SPJ1

5. A ja contains 11 green marbles, 7 red marbles, and 6 blue marbles. A marble is selected at random, not replaced, and then a second marble is selected. What is the probability ofselecting a blue marble followed by a green marble?

Answers

Answer: 11/92

Explanation:

Probability is expressed as

number of favorable outcomes/number of total outcomes

From the information given,

number of green marbles = 11

number of red marbles = 7

number of blue marbles = 6

Total number of marbles = 11 + 7 + 6 = 24

Probability of selecting a blue marble = 6/24 = 1/4

Since the marble is not replaced, total number of marbles left = 24 - 1 = 23

Probability of selecting a green marble = 11/23

The probability of selecting a blue marble followed by a green marble is

1/4 x 11/23

= 11/92

Just need a simple explanation.

Answers

The square roots for each side of the equation are not correct, as the square root of 36 is of -6 or 6, not -36 or 36, hence the correct solutions are:

x = -3 or x = 9.

Are the steps correct?

The equation in Step 6 is given as follows:

[tex]\sqrt{(x - 3)^2} = \sqrt{36}[/tex]

Simplifying the square roots, the variable x can be isolated, as follows:

x - 3 = 6.x - 3 = -6.

Both -6 and 6 are correct results for the square root of 36, because:

6² = 36.(-6)² = 36.

His mistake when removing the square root is that he did not calculate the root, he just removed the square root from the 36, hence the correct solutions will be found as follows:

x - 3 = 6. -> x = 9.x - 3 = -6. -> x = -3.

From the (x - 3)² term, the square root is removed along with the square. However 36 = (6)² or (-6)², hence sqrt(36) = 6 or sqrt(36) = -6.;

More can be learned about the square root function at https://brainly.com/question/98314

#SPJ1

Find the inverse
g(x) =
10 –5x
2

Answers

The most appropriate choice for inverse of a  function will be given by-

[tex]f^{-1}(x) = \frac{10 - 2x}{5}[/tex]

What is inverse of a function?

At first, it is important to know about function

A function from A to B is a rule that maps to each element of A a unique element of B.

A is called the domain of the function and B is called the co domain of the function.

[tex]f^{-1}[/tex]  is said to be the inverse of [tex]f[/tex] if [tex]f[/tex] [tex]o[/tex] [tex]f^{-1}[/tex] = [tex]f^{-1} o[/tex] [tex]f[/tex] =  [tex]I[/tex], I is the identity function.

Let g(x) = y

[tex]\frac{10-5x}{2} = y\\10 - 5x = 2y\\5x = 10-2y\\x = \frac{10 - 2y}{5}[/tex]

[tex]f^{-1}(x) = \frac{10 - 2x}{5}[/tex]

To learn more about inverse of a function, refer to the link:

https://brainly.com/question/3831584

#SPJ13

Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 7)(0,7) and (2, 112)(2,112).

Answers

An exponential function in the form y=abˣ is y = 7×4ˣ .

A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.

Write the equation of the function:

y = abˣ

For point (0 , 7)

7 = ab⁰

for point (2 , 112)

x = 2

y = 112

Substitute:

112 = ab²

Swap the sides:

ab⁰ = 7

ab² = 112

Find the quotient of the equations:

ab²/ ab⁰ = 112/7

Simplify the equations:

b² = 16

b =  ±√16

Split into two equations: b =  +√16 or b =  -√16

Simplify the radical expression:

b = 4

b = -4

Combine the results: b = 4 or  b = -4

Any fraction with a denominator of 1 is equal to its numerator:

a = 7

7 = a (±4)°

Substitute into one of the equations:

a = 7

b = ± 4

y = 7×4ˣ

Hence , y =7×4ˣ is an exponential function with the formula y=abˣ.

To learn more about Exponential function

https://brainly.com/question/2456547

#SPJ1

There are 2 buses. Bus A can travel 125 miles in 3 hours, and bus B can travel 85 more miles than bus A within the same time what is the speed of bus B?

Answers

Answer:

70 miles an hour

Step-by-step explanation:

First, you want to know how fast bus A can go. So you want to do 125/3 since the bus travels 3 hours. you get 41.6666667. keep that number. then you want to divide 85 by 3 since bus B is going for 3 hours. you get 28.3333333. then you add those numbers to get how fast bus B is going and you get 70 miles per hour for bus B

V =Y(r+ B) solve for r

Answers

If your homework from a book I can help u

Lana has a three-year lease that requires her to pay $395 rent permonth. What is the total amount she will pay for rent during the term ofher lease?a. $1,185b. $14,220c. $4,740d. $1,422

Answers

Step 1. Since Lana Pays the rent monthly, and the lease is for a 3 year period, the first step will be to calculate the number of months that are in 3 years.

Since there are 12 months in just 1 year, we multiply 12 by 3 to get the number of moths in 3 years:

[tex]12\times3=36[/tex]

There are 36 months in 3 years.

Step 2. Multiply the number of months by the monthly payment of the rent.

We multiply $395 by the 36 months:

[tex]395\times36[/tex]

And the result is:

[tex]395\times36=14,220[/tex]

$14,220 is the total amount she will pay for rent during the term of her lease.

Answer:

b. $14,220

Let X be a discrete random variable for the outcome of a toss of a coin with sides 0 and 1,with P(X = 0) = 0.5 and P(X = 1) = 0.5. Moreover let Y be another variable associatedwith a biased coin with sides 1 and 2, such that P(Y = 1) = 0.4 and P(Y = 2) = 0.6. IfZ = X + Y , what is P(Z < 3)

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given probabilities

[tex]\begin{gathered} P(X=0)=0.5,P(X=1)=0.5 \\ P(Y=1)=0.4,P(Y=2)=0.6 \\ Z=X+Y \end{gathered}[/tex]

STEP 2: Write the formula for calculating the required probability

[tex]P(Z<3)=P(Z=1)+P(Z=2)[/tex]

STEP 3: Find P(Z=1)

[tex]\begin{gathered} P(Z=1)=P(X=0)\text{ and }P(Y=1) \\ =0.5\times0.4=0.2 \end{gathered}[/tex]

STEP 4: Find P(Z=2)

[tex]\begin{gathered} P(Z=2)=P(X=0)\cdot P(Y=2)\text{ or }\times P(X=1)\cdot P(Y=1) \\ (0.5\times0.6)+(0.5\times0.4) \\ =0.3+0.2=0.5 \end{gathered}[/tex]

STEP 5: Find the P(Z<3)

[tex]P(Z<3)=0.5+0.2=0.7[/tex]

Hence, the answer is 0.7

Given the right triangle shown, solve for X, Y and Z. The triangle may not be drawn to scaleA. x=1.86feet, y=4.41 feet and z=65 degreeB.x=4.41 feet, y=1.69 feet, and z=155 degreeC. x=8.58 feet, y=9.46 feet and z=65 degreeD.x=9.46 feet, y=8.58 feet and z=155 degree

Answers

Since the triangle is a right-angled triangle, we can use SohCahToa to find x

Using the ratio

[tex]Tan25=\frac{\text{opposite}}{\text{adjacent}}[/tex]

Opposite = 4ft

adjacent = x

Substituting these values yield

[tex]\begin{gathered} \text{Tan 25 =}\frac{4}{x} \\ x\text{ =}\frac{4}{\tan 25} \\ x\text{ =8.57}8ft \\ x\approx8.58ft \end{gathered}[/tex]

To find Z we use the fact that the sum of angles in a triangle is 180 degrees

so that in triangle XYZ

90 + 25 +Z = 180

Z = 180 - 115

Z= 65 degrees

We will now use Pythagoras theorem to find y

[tex]\begin{gathered} \text{For that} \\ y^2=x^2+4^2 \\ \text{but x = 8.58ft} \\ y^2=8.58^2+4^2 \\ y=\sqrt[]{73.6164\text{ +16}} \\ y\text{ =9.46 ft} \end{gathered}[/tex]

Hence x= 8.58 ft, y= 9.46ft and Z = 65 degrees, Option C

For the polynomial f(x) = 2x3 – 9x2 +117 - 20 as x → -0,f(x) > 0 O A. True O B. False

Answers

Given the function;

[tex]\begin{gathered} f(x)=2x^3-9x^2+11x-20 \\ \end{gathered}[/tex]

The leading exponent is odd and the leading coeeficient is positive, so as x tends to positive infinity, f(x) also tends to positive infinity and as x tends to negative infinity, f(x) also tends to negative infinity.

Thus, the correct answer is FALSE.

an insurance company claims the probability of surviving a certain type of cancer is 20%. what are the odds of surviving? express your answer in the form a:b

Answers

The probability of surviving is given as 20%.

It is required to find the odds of surviving.

Let the event "surviving a certain type of cancer" be X.

It follows that the probability can be written as:

[tex]\begin{gathered} P(X)=20\%=\frac{20}{100}=\frac{\cancel{20}^1}{\cancel{100}^5} \\ \Rightarrow P(X)=\frac{1}{5} \end{gathered}[/tex]

Recall that for an event X, the odds in favor of the event happening are given by the ratio:

[tex]\begin{gathered} \frac{P(X)}{P(\overline{X})} \\ \text{Where }P(\overline{X})\text{ is the probability of the event not happening} \end{gathered}[/tex]

The probability of event X not happening is given as:

[tex]\begin{gathered} P(\overline{X})=1-P(X) \\ \text{Substitute }P(X)=\frac{1}{5}\text{ into the equation:} \\ P(\overline{X})=1-\frac{1}{5}=\frac{4}{5} \\ \Rightarrow P(\overline{X})=\frac{4}{5} \end{gathered}[/tex]

Substitute the probabilities into the odds formula:

[tex]\frac{P\mleft(X\mright)}{P(\overline{X})}=\frac{\frac{1}{5}}{\frac{4}{5}}=\frac{1}{4}[/tex]

The odds of surviving is 1:4.

The odds of surviving in the ratio from is 4 : 1.

What are odds in favor and odds against?

The odds in favor is the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.

The odds against is the ratio of the number of ways that an outcome cannot occur compared to in how many ways it can occur.

Given, An insurance company claims the probability of surviving a certain type of cancer is 20%.

So, The probability of not surviving a certain type of cancer is 80%.

∴ The odds of surviving is 2/8 = 1/4.

learn more about odds in favor and odds against here :

https://brainly.com/question/21094006

#SPJ2

SHOW ALL WORK PLEASE!

Sarah has two similar regular pyramids with pentagon-shaped bases. The smaller has a scale factor of 2:3 when compared to the larger. Only the smaller pyramid is shown.

She calculates the area of the base of the pyramid (through long, hard work) to be 110.11 square units. The height of the pyramid is 15 units. Now she needs to calculate the volume of the pyramid.

(a) Calculate the volume of the pyramid for Sarah.

(b) "Oh, no!" Sarah exclaims. "Now I have to go through all this hard work again to find the volume of the larger pyramid!" Does she? Explain.

(c) Calculate the volume of the larger pyramid for Sarah.​

Answers

Answer: a) The volume of the pyramid 440.44 cube units

(b) No she doesn't

(c) The volume of the larger pyramid is 1,486.485 cube units

Step-by-step explanation: The given parameters are;

The scale factor of the pyramids, S.F. = 2:3

The base area of the small pyramid,  = 110.11 square units

The height of the small pyramid, h₁ = 12 units

(a) The volume of a pyramid, V = (1/3) × Area of base × The height of the pyramid

Therefore;

The volume of the small pyramid, V₁ = (1/3) × 110.11 square units × 12 units

V₁ = 440.44 cube units

The volume of the small pyramid, V₁ = 440.44 cube units

(b) No she does not have to go through all the hard work again to find the volume of the larger pyramid

She only has to make use of the scale factor relationships of the two pyramid to calculate the volume of the larger pyramid

The volume scale factor = (The linear scale factor)³

(c) The linear scale factor of the pyramids = 2:3 = 2/3

Therefore;

The volume scale factor of the pyramids = (2/3)³ = 8/27

To find the volume of the larger pyramid, V₂, from the volume of the smaller pyramid, V₁, we multiply the volume of the smaller pyramid, V₁,  by 27/8 as follows;

V₂ = V₁ × (27/8)

Therefore;

The volume of the larger pyramid, V₂ = 440.44 cube units × (27/8) = 1,486.485 cube units

The volume of the larger pyramid, V₂ = 1,486.485 cube units.

PLS GIVE ME BRAINLIESTA DN FRIEND REQUEST ME PLS AND THANK YOU

what is the slope of the line through (-9, 6) and (-3,9)

Answers

Solution

For this case we have the following points:

(-9, 6) and (-3, 9)

and we can find the slope with this formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{9-6}{-3+9}=\frac{3}{6}=\frac{1}{2}[/tex]

Then the solution would be:

B ) 1/2

A, taken two at a time 4) a. ** Evaluate each expression. 5) P2

Answers

we have

4P2

the formula is equal to

n!/(n-r)!

n=4

r=2

substitute

4!/(4-2)!

4!/2!=(4*3*2!)/2!

simplify

4*3=12

answer is 12

a regular octagon (a polygon with 8 equal sid3s) is inscribed in a circle of radius 19.9cm. find the perimeter of the octagon

Answers

Perimeter of an octagon

radius R = 19.9 cm

then To find perimeter

Multiply 8 times lenghts of octagon

with height=

internal angle is= 360/8 = 45°

Now apply rule of Sines

then sin 45/ lside = sin ( 180-45)/2/ radius

Therefore

Lside = sin 45• (19.9) / sin (67.5) = 15.23 cm

Now multiply 8 times this lenght side to find perimeter

8x 15.23 = 121.84 cm

Please help with these two problems.

Answers

Answer:

7. x = 25

8. x = 28

Step-by-step explanation:

7. Alternate interior angles are congruent.

[tex]x + 25 = 2x[/tex]

[tex]x = 25[/tex]

8. Consecutive angles add up to 180°.

[tex]4x + 2x + 12 = 180[/tex]

[tex]6x + 12 = 180[/tex]

[tex]6x = 168[/tex]

[tex]x = 28[/tex]

Formula?
$268 is deposited into savings account at 4% interest, compounded quarterly. To the nearest year, how long will it take for the account balance to reach $427?
Answer: 12 years

Answers

12 years Ig man have a good day

express in simplest form: sec 0 • cot 0 • sin 0

Answers

[tex]\sec \theta.\cot \theta.\sin \theta[/tex]

Note that;

secθ = 1/cosθ cotθ= cosθ/sinθ

substitute into into the expression

[tex]\sec \theta.\cot \theta.\sin \theta=\frac{1}{\cos\theta}.\frac{\cos \theta}{\sin \theta}\text{. sin}\theta[/tex]

cosθ at the numerator will cancel out the cosθ at the denominator, also sinθ at the numerator will cancel out the sinθ at the denominator

[tex]=1[/tex]

Which of these is the northern-most countries? Responses
A Colombia
B Brazil
C Ecuador
D Peru

Answers

The answer is Colombia

HELP PLEASEEEEEEEEE!!!!!!!!

Answers

Answer:

n∧4 basically its n to the power of 14

Step-by-step explanation:

your work is in the pic below check it out sorry if incorrect have a wonderful day:)

2. Which of the following represents a quadratic function? (Circle all that apply!) (2 pts)a, y = 9x2 + 4x - 6b. y = 3x + 8c. y = 1223 - 6x2 + 4x - 9

Answers

A quadratic function is a function in the form,

[tex]\begin{gathered} y=ax^2+bx+c \\ \text{where a, b, c are real } \\ a\ne0 \end{gathered}[/tex]

Option A is a quadratic function,

Option B, is not a quadratic function because it is not the form of the equation written above and also,

[tex]a=0[/tex]

Option C is also not a quadratic function because it has the highest degree of x to be 3.

In option D the function is given by the function is defined by

[tex]\begin{gathered} y=x^2 \\ \text{thus} \\ a=1\ne0 \end{gathered}[/tex]

This implies that the function in option D is a quadratic function

Option E is not a quadratic function

A restaurant bill for four people is 122 route leave the $8018 tip what percentage tip is that A restaurant beer for four people is 120 the group me is a tip of $18 what percent of tip is that

Answers

The total tip for a four-person meal at a restaurant is $122, people $8018. The percentage of the tip is 22%.

Given that,

The total tip for a four-person meal at a restaurant is $122, people $8018. What proportion of a tip is that? Four restaurant beers cost 120 each, and the group tip is $180.

We have to calculate the how much percentage  of a tip is there.

In a variety of situations, such as restaurants, hotels, salons, and other establishments in the service sector, leaving a tip is common. Knowing how to compute a tip and knowing how much to tip is crucial for a variety of reasons, including the fact that many service sector personnel, like waiters, rely heavily on gratuities for the majority of their income. This means that these experts might not be able to support themselves and their families without tips.

Percentage= tip/amount

Percentage= $180/$8018

Percentage= 22%

Therefore, the percentage of the tip is 22%

To learn more about percentage visit: https://brainly.com/question/28269290

#SPJ1

3 thousandths times 0.001

Answers

[tex]3000\cdot0.001=3[/tex]

the answer would be 3

which is more 95 fluid ounces or 3 quarts

Answers

95 fluid ounces or 3 quarts.

To solve htis problem, convert the ounces to quarts and compare the results.

1 ounce ----------------------- 0.03125 quart

95 ounces ------------------- x

x = (95 x 0.03125) / 1

x = 2.97 quarts

2.97 ounces < 3 quarts

Three quarts is more

Other Questions
one reason the nature-nurture debates continues is because it is in the diagram, line AC is parallel to line DF, which angle is vertical to DEH. Would the US still be underneath British Rule if controversial texts were deemed treason? Mots de mme famille que rponse Trigonometry question Given the following function, choose the graph with the two possible angles with the domain 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees.1. sin0 = -2/32. sec0 = 2/13. tan0 = 4/54. csc0 = -3/25. cos0 = -3/5 Select the correct answer.What is the following claim?Anything that makes the yard look good is all right.a. believeable factb. questionable opinion.c. questionable fact. 4 = -(x + 3) implemented as a real life problem Fill in the blanks to correctly complete the sentence.To perform the division x-3)x + 6x + 4x, begin by writing the synthetic division problem shown below.0)1040 ActivityHeres a chance to work through the first two steps in the research process:Choose a topic.Find background Information.Identify key sources.Evaluate your sources.Use strong sources as supporting evidence.Cite sources correctly in your paper.Because you are choosing a topic based on doing some background research, well combine these two steps in this activity.First, consider the suggested research topics and review the document associated with each topic:Topic 1: The Road to Freedom: The Battle of Antietam and the Emancipation ProclamationDocument: The Emancipation ProclamationTopic 2: The Crossroads of War: The Battles of Vicksburg and Gettysburg, and the Gettysburg AddressDocument: The Gettysburg AddressNext, gather and note general information that helps you better understand these two topics. Do a simple Internet or library search to get some background on each topic. This stage of research is meant to give you a general picture of each topic, not identify specific sources.Below are steps you should follow to do background research on each topic:Topic 1: The Road to FreedomPerform two separate searches, one for the Battle of Antietam and another for the Emancipation Proclamation. Note the information you come across on these topics. When did these events happen and what was the significance of each?Topic 2: The Crossroads of WarPerform separate searches about the Battle of Vicksburg, the Battle of Gettysburg, and the Gettysburg Address. When did these events occur in relation to one another? What was the connection of the Gettysburg Address to the Battle of Gettysburg?Finally, based on this initial research, choose the topic you would like to research further. Write a brief paragraph stating your choice as either topic 1 or topic 2. Explain why you made that choice and what you learned about it during your background research. What is the solution to the equation below?A.x = B.x = 25C.x = D.x = 9 governments have sometimes used subsidies to encourage the consumption of desirable goods and services such as ____. Jane was sent by her Chicago-based company to a business convention in Tokyo, Japan. While at lunch, she and severalother Americans in attendance sat together at lunch. As they laughed and enjoyed themselves, Jane noticed that manypeople glanced at them uncomfortably and whispered to each other. When Jane asked the young waitress what was wrong,the girl avoided eye contact with her, shook her head without saying a word, and quickly walked back to the kitchen. Based onwhat you know about nonverbal communication, give at least three explanations for the misunderstandings between thepeople in this scenario. Using the design below, you plan to make a rectangular wall hanging to decorate yourbedroom. Th e green rectangle is 16 ft by 10 ft, the blue square is 7 ft by 7 ft, the orangetriangles have a height of 1.73 ft and a side length of 2 ft, and the yellow circle has adiameter of 3 ft. You plan to glue the pieces together and then outline each piece withblack cord.a. How much black cord does the design use?b. How much fabric of each color does the design show?c. At a craft store, fabric comes in bolts that are a fixed number of inches wide.You can only buy fabric by the whole yard. If each bolt is 48 in. wide, what isthe least amount of each color that you need to buy? Explain.please I try to solve it but I did not understand it please need help thank you so much. pls help will mark brainliest can someone give me ideas about writing experience on hiking ? PLEASE HELP!!! - 55 pts1.) Mrs. Zech babysits for extra money.-The job pays $250 for twenty hours of work-She needs to make $750How many hours of babysitting would Mrs. Zech need to work to earn the $750? a plot device in fiction which features a character in danger, facing a difficult or seemingly impossible dilemma, or confronted with a shocking revelation at the end of an episode is called a ? (1)What are the two equations to set up to solve the equation |3x -2| =193x -2=(2) Solve.-2|2x+3| + 14 - 16 noor manages shipments of components and materials that will be transformed into game consoles for her company. these materials are . What body type? Do you see people who look like you represented?