A triangle has vertices at R(1, 1), S(-2,-4), and T-3, -3). The triangle is transformed according to the rule Ro. 270". What
are the coordinates of S?


(-4,2)
(-2, 4)
(2,4)
(4,-2)

Answers

Answer 1

The coordinate of S if the triangle is transformed according to the rule Ro. 270 is (-4, 2)

Transformation of coordinates

Transformation is the process of changing the position of an object in a xy-plane.

Given the coordinate of the triangles as R(1, 1), S(-2,-4), and (T-3, -3). If the triangle is transformed according to the rule Ro. 270", the resulting coordinate points are (x,y)→(y,−x)

The coordinate of S using the rule is (-4, 2)

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Answer 2

The coordinate of S if the triangle is transformed according to the rule Ro. 270 is (-4, 2)

What is transformation?

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Transformation of coordinates

Transformation is the process of changing the position of an object in a xy-plane.

Given,

the coordinate of the triangles as R(1, 1), S(-2,-4), and (T-3, -3). If the triangle is transformed according to the rule Ro. 270", the resulting coordinate points are (x,y)→(y,−x)

The coordinate of S using the rule is (-4, 2)

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Related Questions

if the volume of a cube is 1,000 cubic feet what is the surface area

Answers

Here,

volume(v)=1000 ft^3

also,

v=l^3

or,1000=l^3

therefore,

l=10ft

Now,

Surface area(A)=6l^2

=6×10^2

=600 ft^2

Hope it helps!!!!!

If the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.

What is a cube?

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

The volume of a cube can be calculated as the cube of the sides of a given figure.

The volume of a cube = side ^3

Given ; if the volume of a cube is 1,000 cubic feet

The volume(v) = 1000 ft^3

also, The volume(v) = l^3

or,1000 = l^3

therefore, l = 10ft

The side of the given cube is 10 feet.

Now,

The Surface area(A) of a cube = 6l^2

= 6 × 10^2

= 600 ft^2

Hence, if the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.

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A touch tank has a height of 3 feet. Its length is three

times the width. The volume of the tank is 270 cubic feet.

Find the length and width of the tank,

3 ft

Answers

Answer:

5.5 cu ft        vol = L*w*h*  w=x L= 3x  h=3

270=  3[3x*x]

Final answer:

To find the length and width of the touch tank, we need to use the formula for the volume of a rectangular tank. By substituting the given values and solving the equation, we can find the width and length.

Explanation:

Let's assume that the width of the touch tank is x feet. So, the length of the tank would be 3x feet.

The volume of a rectangular tank is given by the formula volume = length × width × height. We can substitute the given values into this formula.

270 = (3x) * x * 3

Simplifying the equation, we get:

270 = 9x^2

Dividing both sides of the equation by 9:

x^2 = 30

Taking the square root of both sides of the equation:

x = √30 ≈ 5.48

Therefore, the width of the touch tank is approximately 5.48 feet. Since the length is three times the width, the length would be approximately 3 × 5.48 = 16.44 feet.

A piece of copper has a mass of 58kg and displaces 5918ml. What is its density?

Answers

Answer:

8.96 g/cm2

Step-by-step explanation:

The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is 2:7
Complete the table of costs

Answers

Answer:

The values of the table of costs in the explanation

Step-by-step explanation:

Let

x ---->the cost of one metre of polyester fabric

y ----> the cost of one metre of cotton fabric

we know that

The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is

[tex]\frac{x}{y}=\frac{2}{7}[/tex]

Complete the table

Part 1) For 2 metres of fabric

To find out the costs multiply the ratio by the fraction 2/2

so

[tex](\frac{2}{2})\frac{2}{7}=\frac{4}{14}[/tex]

therefore

[tex]x=\£4\\y=\£14[/tex]

Part 2) For 6 metres of fabric

To find out the costs multiply the ratio by the fraction 6/6

so

[tex](\frac{6}{6})\frac{2}{7}=\frac{12}{42}[/tex]

therefore

[tex]x=\£12\\y=\£42[/tex]

Part 3) For 8 metres of fabric

To find out the costs multiply the ratio by the fraction 8/8

so

[tex](\frac{8}{8})\frac{2}{7}=\frac{16}{56}[/tex]

therefore

[tex]x=\£16\\y=\£56[/tex]

Part 4) For 9 metres of fabric

To find out the costs multiply the ratio by the fraction 9/9

so

[tex](\frac{9}{9})\frac{2}{7}=\frac{18}{63}[/tex]

therefore

[tex]x=\£18\\y=\£63[/tex]

find the edge length of the cube

Answers

Answer:

5

Step-by-step explanation:

follow me if I'm right

Answer:

you are wrong genius

Step-by-step explanation:

you are wrong because you might have thought the s is a 5, but it is an s

Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke?

Answers

Answer: 3/10 of a mile

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the 2/5 of the way that she travelled on her bike before it broke by the total distance (3/4 of a mile)

2/5 x 3/4 = 3/10 of a mile  

She travelled 3/10 of a mile on her bike before it broke

Feel free to ask for more if needed or if you did not understand something.

Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke, found by multiplying 2/5 by 3/4. Equation: Distance on bike = (2/5) × (3/4).

To find out what fraction of a mile Rose traveled on her bike before it broke, we need to find 2/5 of 3/4 mile.

[tex]\[ \text{Distance traveled on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]

[tex]\[ = \frac{2}{5} \times \frac{3}{4} \][/tex]

[tex]\[ = \frac{2 \times 3}{5 \times 4} \][/tex]

[tex]\[ = \frac{6}{20} \][/tex]

[tex]\[ = \frac{3}{10} \][/tex]

So, Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke.

The equation for this would be:

[tex]\[ \text{Distance on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]

Complete Question:
Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke? Show your work and write an EQUATION in the box to the right.

a) Write down 375 as the product of prime factors.
Give your answer in index form.

b) Work out the highest common factor of 375 and 150.

Answers

Answer:

a) 3x5³

b) 75

Step-by-step explanation:

a) find the Prime factors of 375 by dividing your number by prime numbers (you answers must be whole) use a factor tree to help you

a) do the same to 150

one you have you answers in this case we have

375- 3x5x5x5

150 - 2x3x5x5

you collect all the like terms, this will be 3x5x5 then you just simply multiply it And it gives you 75

Final answer:

375 as a product of prime factors is 3x5^3 and the highest common factor of 375 and 150 is 25.

Explanation:

To express 375 as the product of prime factors, you must first determine the prime numbers that when multiplied together will equal 375. The prime factors of 375 are 3 and 5. So, 375 can be written as 3x5^3.

Next, to find the highest common factor of 375 and 150, you need to first find the prime factors of both numbers. As shown above, the prime factors of 375 are 3 and 5. The prime factors of 150 are 2, 3 and 5.

The highest common factor is identified by locating the largest number that can divide both numbers without leaving a remainder. The highest common factor of 375 and 150 is hence, 25 because it's the greatest factor that both numbers have in common.

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Create a rational function with a non-constant denominator) that has NO vertical

asymptotes.

Answers

Answer:

[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]

Step-by-step explanation:

A rational function with no vertical asymptotes contains an avoidable discontinuity, an example is presented hereafter:

[tex]y = 3[/tex]

[tex]y = 3\cdot 1[/tex]

[tex]y = 3\cdot \frac{x+1}{x+1}[/tex]

[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]

Find the area of the polygon.

_12 cm

| 19 cm

12 cm

The area of the polygon is |

square centimeters.

Answers

Answer:

[tex]A = 1172.965\,cm^{2}[/tex]

Step-by-step explanation:

Let be a side of 12 cm (l) and an apothem of 19 cm (p). First, the number of sides has to be determined:

[tex]n =\frac{360^{\textdegree}}{2\cdot \tan^{-1}\left(\frac{6\,cm}{19\,cm} \right)}[/tex]

[tex]n = 10.271[/tex]

The polygon has ten sides and the side length shall be re-adjusted:

[tex]\theta = \frac{360^{\textdegree}}{10}[/tex]

[tex]\theta = 36^{\textdegree}[/tex]

The side length is:

[tex]l = 2\cdot (19\,cm)\cdot \tan 18^{\textdegree}[/tex]

[tex]l = 12.347\,cm[/tex]

The area of the polygon is:

[tex]A = \frac{n\cdot l \cdot p}{2}[/tex]

[tex]A = \frac{(10)\cdot (12.347\,cm)\cdot (19\,cm)}{2}[/tex]

[tex]A = 1172.965\,cm^{2}[/tex]

Which of the following triangle lengths form right triangles? Select all that apply
(7, 11, 13)
(10,24,26)
(12, 16, 20)
(12, 35, 37)
(13, 15, 19)

Answers

Answer:

B,C,D

Step-by-step explanation:

The correct option is (10,24,26) , (12, 16, 20) and (12, 35, 37).

What are the three sides of a right triangle?

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles.

What is considered a right triangle?

A right triangle is a triangle with one right angle (one angle equal to 90°). The side opposite the right angle (the longest side) is called the hypotenuse. The remaining two sides (the sides that intersect to determine the right angle) are called the legs of the right triangle.

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The cost to enter a waterpark increases from $56 per person to $73 per person. What percent of the entry fee increase

Answers

Final answer:

The percent increase of the waterpark's entry fee is approximately 30.36%, which is calculated by finding the difference between the new and original cost, dividing by the original cost, and then converting that number to a percentage.

Explanation:

To calculate the percent increase of the entry fee to the waterpark, we need to follow these steps:

Find the amount of the increase by subtracting the original cost from the new cost.Divide the amount of the increase by the original cost.Multiply the result by 100 to convert it to a percentage.

Step 1: The increase in cost is $73 - $56 = $17 per person.

Step 2: The increase divided by the original cost is $17 ÷ $56 ≈ 0.30357.

Step 3: To find the percent increase, we multiply the result from step 2 by 100: 0.30357 × 100 ≈ 30.36%.

Therefore, the percent increase of the entry fee is approximately 30.36%.

Final answer:

To find the percent increase in the entry fee, subtract the old fee from the new fee, divide by the old fee, and multiply by 100. The entry fee increase is approximately 30.36%.

Explanation:

To find the percent increase in the entry fee, you need to calculate the difference between the new fee and the old fee, and then divide that difference by the old fee. Finally, multiply the result by 100 to get the percentage.

Find the difference in the fees: $73 - $56 = $17Divide the difference by the old fee: $17 ÷ $56 ≈ 0.3036Multiply the result by 100 to get the percentage: 0.3036 × 100 ≈ 30.36%

The entry fee increase is approximately 30.36%.

Solve the following systems: 3x+4y=0 2x+3y=1

Answers

Answer:

Answer is x= -4 and y= 3

Step-by-step explanation:

[tex]given \: equations \: are \\ 3x + 4y = 0 \: \: and \: 2x + 3y = 1 \\ multiply \: by \: 2 \: in \: first \: equation \\ 6x + 8y = 0 \\ multiply \: by \: 3 \: in \: second \: equation \\ 6x + 9y = 3 \\ subtracting \: the \: above \: mentioned \: equation \: \\ we \: get \: - y = - 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 3 \\ substitute \: y = 3 \: in \: first \: equation \\ 3x + 4(3) = 0 \\ 3x = - 12 \\ x = - 4[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Which table shows a positive correlation? A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 5, 5, 5, 5, 5. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 10, 18, 31, 37, 52. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 24, 25, 13, 9, 6. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 9, 12, 17, 21, 22.

Answers

Answer: The Answer is B

Step-by-step explanation:

The first box has all 5's so it's just going to be a straight line.

The third box is a negative correlation because the number are going down in the right column

The fourth column doesn't make any sense because the X column has all 8's

So the answer is B.

Hope this helps : )

The table shows a positive correlation in B; The first column is labeled x with entries 1, 2, 3, 4, and 5. The second column is labeled y with entries 10, 18, 31, 37, and 52. A 2-column table with 5 rows.

What is correlation?

The correlation of two pairs of data values tells about the degree of movement that can occur in one of the data when another data value is increased or decreased respectively.

Since it is called that the Correlation coefficient is a measure of how similar two datasets are acting.

The first box has all 5s =hence,  it's just going to be a straight line.

The third box is a negative correlation due to the number is going down in the right column

The fourth column, the X column has all 8's

Hence, the answer is B.

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A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet. What statements are true? Check all that apply. The height of the new trapezoid will be 1 ft. The height of the new trapezoid will be 16 ft. The area of the new trapezoid is One-fourth times the area of the original trapezoid. The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid. The area of the new trapezoid is 4 times the area of the original trapezoid.

Answers

Answer:

A and D

Step-by-step explanation:

Got it right :)

Final answer:

The true statement about the new trapezoid is that the area of the new trapezoid is \(1/16\) times the area of the original trapezoid, assuming that all dimensions are scaled down by the same factor.

Explanation:

The area of a trapezoid is given by the formula: [tex]Area = \((base_1 + base_2) / 2\) * height[/tex]. For the original trapezoid with bases of 18 feet and 12 feet and a height of 4 feet, the area is [tex]\((18 + 12) / 2\) * 4 = 60[/tex] square feet. If the dimensions of the trapezoid are scaled down or up, the new height and area can be determined by using the same proportionality principle that applies to triangles. If the height is reduced by a factor of 4, which means the new height is 1 foot, then the area will also be reduced by the same factor squared (since area is a two-dimensional measure). Therefore, the new area will be 1/16 times the original area, which equals 60 / 16 = 3.75 square feet.

Which expression shows the simplified form of (8 r Superscript negative 5 Baseline) Superscript negative 3?

8 r 15
8/r15
512r 15
r15/512

Answers

Answer:

(8r) ^ 15

Step-by-step explanation:

(8r) ^-5 ^-3

We know that a^b^c = a^ (b*c)

(8r) ^-5 ^-3 = (8r) ^ (-5*-3)  = (8r) ^ 15

Answer:

This other person is wrong!

Step-by-step explanation:

I have proof! Try answer C: or :b

haha smiley face..if not...here's some memes that i hand made....

40.40
What is the area of the base of the cone below? Round the answer to the nearest tenth if necessary.
V = 52 in 3
14.7 in2
Please hurry 29 points
17.3 in2
18 5 in 2
19.5in 2

Answers

Answer:

D) 19.5 in^2

Step-by-step explanation:

Volume is 1/3base * height

52in^3 = 1/3x*8

multiply by 3

156in^3 = x*8

divide by 8

19.5 = x

x = 19.5

Answer:

D

Step-by-step explanation:

Steve bought a triangular mat to cover a corner of his room. How much area of the floor will this mat cover?
A. 60 square feet
B. 80 square feet
C. 48 square feet
D. 24 square feet
Please help worth 40 points!

Answers

Answer:

i believe is c

Step-by-step explanation:

because you addd 10 plus 8 times 6.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the floor that will be covered by the Matt is 24 sq. ft.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.


The area of the floor covering will be equal to the area of the triangular carpet. Therefore, using the Heron's formula we can write,

s = (10+8+6)/2 = 12

Area of the triangle = √[12(12-10)(12-8)(12-6)] = √(12×2×4×6) = 24 sq ft.

Hence, the area of the floor that will be covered by the Matt is 24 sq. ft.

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Finish the phrase "Lack of planning on your part doesn't require..." (use all lowercase letter and put spaces between each word).

Help me please !
Its another lock

Answers

Answer:

"Lack of planning on your part doesn't require an emergency on my part."

Step-by-step explanation:

Doesnt it say it in the photo?

Peter ran 4 ⅔ miles on Tuesday. On Wednesday, he ran ⅘ of this distance. How far did he run?


Answers

Answer:

3.73333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance = 4/5 of 4 2/3

[tex]=\frac{4}{5}*\frac{14}{3}\\\\=\frac{4*14}{5*3}[/tex]

= 56/15

= 3 11/15 miles

(17) Find the least square number which is exactly divisible by each of the numbers
6, 9, 15 and 20.
(18) Find the least square number which is exactly divisible by each of the numbers
8, 12, 15 and 20.

Answers

(17) Find the least square number which is exactly divisible by each of the numbers

The answer is 3

(18) Find the least square number which is exactly divisible by each of the numbers

8, 12, 15 and 20.

The answer is 4

Answer:17) 5400

18)3600

Step-by-step explanation:

I will comment the other answer choices but help me please

Answers

Do I choose A or B?

If so: B

The answer choice would be B because it also talks about stress eating and ways to avoid it while A only talks about corona

0.00005026 as a scientific notation

Answers

Answer:

5026*10^-5

Step-by-step explanation:

Answer:

5.026 x 10-5

Step-by-step explanation:

On a exam you get two points for each question answered correctly,zero points for each question left blank,and lose one point for each question answered incorrectly.what is your total score on the exam if you answer 22 questions correctly,leave 7 questions blank,and answer 5 questions incorrectly? P.S simplify expression

Answers

Answer:

Total score = 39 points

Step-by-step explanation:

For each correct question, you get 2 points, and there are 22 correct questions, so:

22 * 2 = 44 points.

For each question left blank, you get 0 points, and there are 7 questions left blank, so:

7 * 0 = 0 points

For each incorrect question, you get -1 point, and there are 5 incorrect questions, so:

5 * (-1) = -5 points.

The total number of points is:

Score = 22*2 + 7*0 + 5*(-1) = 44 + 0 - 5 = 39 points

Trapezoid $RSTU$ is a cross section of a lampshade. The diagonals of $RSTU$ are congruent, and the measure of $\angle S$ is $112\degree$ . What is the measure of $\angle U$ ?

Answers

The sum of the angle ∠T and angle ∠U will be a 180°. Then the angle ∠U will be 68°.

What is a trapezium?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

Trapezoid RSTU is a cross-section of a lampshade.

The diagonals of RSTU are congruent, and the measure of angle S is 112 degrees.

Then the measure of angle U will be

Angle S and angle T are equal.

∠S = ∠T = 112°

And the sum of the angle ∠T and angle ∠U will be a 180°.

Then we have

∠T + ∠U = 180°

112° + ∠U = 180°

         ∠U = 68°

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The measure of angle U in the trapezoid RSTU with congruent diagonals and angle S measuring 112 degrees is 68 degrees, using the properties of an isosceles trapezoid.

To find the measure of in the trapezoid RSTU, with diagonals congruent and the measure of angle S being 112 degrees, we need to use the properties of a trapezoid and the fact that the diagonals are congruent. In an isosceles trapezoid, the base angles are congruent, meaning angles S and U are congruent because diagonals are congruent. Since the sum of angles in a quadrilateral is 360 degrees, we can set up an equation: 2(112) + 2(angle U) = 360.

Solving for angle U, we get:

224 + 2(angle U) = 3602(angle U) = 136angle U = 68 degrees  

Hence, the measure of angle U in the trapezoid RSTU is 68 degrees.

What do the three red tiles in the model of the equation below represent?

2 long x tiles and 3 square 1 tiles = 3 negative x tiles
–3
3
–3x
3x

Answers

Answer:

the answer is c

Step-by-step explanation:

Answer:

The answer is -3x because the red tiles represent -x so since there are 3 -x tiles the answer would be -3x

is the expression 4 - x the same as x – 4? Explain

Answers

Answer:

Yes

Step-by-step explanation:

The order of the factors does not alter the product

Yes because of your property’s

is 1.6 rational or irrational

Answers

It is Irrational you can also find this on google

What is the midpoint between (7 - 3i) and ( 3 + 2i).

Answers

Answer:

Step-by-step explanation:

5-0.5i

this is asking using the completing the square method

Answers

Answer:

first box [

4

]

second box [

  7

____

  2

]

third box[

0

]

Step-by-step explanation:

Answers are 4,7,2,0 in order

Bree made 48 cookies. She used 1,104 chocolate chips for all of the cookies. How many chocolate chips were in each cookie?

Answers

Answer:

23

Step-by-step explanation:

its 23 beacuase 1104 divided by 48 is 23 so its 23 chips

Answer: 23

Step-by-step explanation: 1,104 divided by 48 = 23

Other Questions
In order to produce hydroelectric power, they pump water up to the top of a mountain, and as gravity causes the water flow down again, it is used to turn the turbines. If it requires an input of energy to pump water up the mountain, why do they use this process?please help me! The formation of tert-butanol is described by the following chemical equation: (CH3)3CBr (aq) + OH- (aq) Br- (aq) + (CH3)3COH (q ) Suppose a two-step mechanism is proposed for this reaction, beginning with this elementary reaction (CH3)3CBr (aq) (CH3)3C+ (aq) + Br- (aq)Suppose also that the second step of the mechanism should be bimolecular. Suggest a reasonable second step. That is, write the balanced chemical equation of a bimolecular elementary reaction that would complete the proposed mechanism Round to the underlined place. Aquifers are ______. a. located below the water tableb. important sources of freshwaterc. located in the saturated zoned. all of the above Which scientist developed the idea that micro organisms can cause disease Please help meThe question is in the picture ;( What does the word gripe most closely mean as it is used in paragraph 1? Tyler completely filled the Box shown below with unit cubes with no gaps or overlaps even counted the number of Cubes that he used to fill the Box what type of measurement is represented by the number of Cubes Tyler counted 3 to the power of 5 and (3) to the power of 5 The experimental spectrum measured at = 532 nm reveals a series of peaks that are shifted relative to the Rayleigh peak. One of them is shifted by +218 cm1 . Determine if this position corresponds to a Stokes or anti-Stokes shift and what is the relative intensity of this peak compared to its Stokes/anti-Stokes counterpart at 50 K, 300 K, and 1500 K (assuming the energy levels remain the same at various Please help !!!!!I need it asap Why does the author begins the essay with a quotation by Edwin P. Hubble and then later suggest a revision of the quotation? How did the two versions of the quotation help shape and refine the essay's central idea? If a gas is compressed isothermally, which of the following statements is true? Energy is transferred into the gas by heat. No work is done on the gas. The temperature of the gas increases. The internal energy of the gas remains constant. None of those statements are true. The function y = 10 x + 190 represents the relationship of the given data where x represents fat, in grams, and y represents calories.How many calories would there be in a snack with 35 grams of fat? Emma buys a dress from Dolly's to wear to her friend's wedding. She wears the dress without removing the price tag. A day after the wedding, she returns the dress saying that the dress is too tight and gets a refund. In this scenario, Emma's behavior is an example of _____. Which lists the correct order of evolutionary history?a.crabs, jellyfish, reptilesb. mammals, amphibians, crabsc. vertebrate fish, crabs, mammalsd. jellyfish, reptiles, mammals The graph of the function f(x) = (x +2)(x + 6) is shown below.What is true about the domain and range of the function?A. The domain is all real numbers, and the range is all real numbers greater than or equal to 4.X B. The domain is all real numbers greater than or equal to 4, and the range is all real numbers.C. The domain is all real numbers such that 6 x 2, and the range is all real numbers greater than or equal to 4.D. The domain is all real numbers greater than or equal to 4, and the range is all real numbers such that 6 x 2. A thin film of cooking oil (n=1.43) is spread on a puddle of water (n=1.34). What is the minimum thickness Dmin of the oil that will strongly reflect blue light having a wavelength in air of 451 nm, at normal incidence? Dmin= nm What are the next three thicknesses that will also strongly reflect blue light of the same wavelength, at normal incidence? 158 nm, 237 nm, and 315 nm 237 nm, 394 nm, and 552 nm 473 nm, 788 nm, and 1100 nm 361 nm, 602 nm, and 842 nm 315 nm, 473 nm, and 631 nm Ximena spent 72 of the dayshopping at the mall. She spent74 of this time trying on jeans.What fraction of the day didCharlotte spend trying on jeans? Select all the expression that