The answers help im confused

The Answers Help Im Confused

Answers

Answer 1

Answer:

P'   (3, 1)

Q'  (5, 1)

R'   (5, 4)

S'   (3, 4)

T'   (3, 3)

U'   (1, 3)

V'   (1, 2)

W'   (3, 2)

Step-by-step explanation:

What does it mean when a point is translated horizontally to the right by 6 units? That means its x coordinate is increased by 6 units, the y-coordinate is unchanged

(If it was translated 6 units to the left, it's x coordinate would decrease by 6 units)

So if we had a point say (1, 1) then its new x-coordinate will be (1+6, 1) or (7,1) The y-coordinate stays unchanged if the translation is horizontal

When a point is translated vertically by 6 units, its x-coordinate is unchanged but the new y coordinate is increased by 6 units (-6 units if the translation is vertically down)

So with a point (1, 1), an up translation will result in a new point (1, 7)

If both translations are applied both x and y coordinates will change to
(7, 7)


To figure out the new coordinates denoted by P'Q'R'S'T'  of each of the points PQRST of the  given figure:

Add 6 to the x-coordinate of each point and at the same time add 6 to the y-coordinate of that point

If you look at the graph, the original points and translated points for 6 units to right and 6 units up are
P(-3, -5)  which translates to P'(-3 + 6, -5 + 6) or P'(3, 1)

The other new points are calculated the same way by adding 6 to both x and y coordinates

Q(-1,  -5)  ==>  Q'(5, 1)

R(-1,  -2)   ==>  R'(5, 4)

S(-3,  -2)  ==>  S'(3, 4)

T(-3,  -3)   ==>  T'(3, 3)

U(-5,  -3)  ==>   U'(1, 3)

V( -5, -4)  ==>   V'(1, 2)

W(-3,  -4)  ==>  W'(3, 2)

The attached graph shows the translated figure with the translated points. Essentially the original figure has been shifted 6 units to the right and 6 units up

The Answers Help Im Confused

Related Questions

PLEASE HELPPPPP


Which graph represents the same relation as the set

5
4
3
2-
1
--5-4-3-2-1₁ 1 2 3 45
-2+
-3
4 9
st²

t{(-3,2).(5.5).(3.3).(3.-2)}?
X

Answers

Answer: I think it’s t{(-3,2).(5.5).(3.3).(3.-2)}

Step-by-step explanation:

Eyesight is key m’lady

The first graph represents the same relation as the set {(-3,2).(5.5).(3.3).(3.-2)}

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given relation is {(-3,2).(5.5).(3.3).(3.-2)}

We have to find the graph which represents the relation of the set

A binary relation on a set may, or may not, hold between two given set members.

The first number in the ordered pair represents the x coordiantes

The second number in the ordered pair represents the y coordiantes

When we match the ordered pairs with the given graphs

The first graph matches with the given relation

Hence, the first graph represents the same relation as the set {(-3,2).(5.5).(3.3).(3.-2)}

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Simplify the equation. Show your work.[tex]-i^3^2[/tex]

Answers

[tex]{\Large \begin{array}{llll} i^4=1 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ -i^{32}\implies -i^{4\cdot 8}\implies -(i^4)^8\implies -(1)^8\implies \text{\LARGE -1}[/tex]

It rained all week, and it created a leak in the roof! The roof repair was $100.00 for the repairman to come and fix it.

What is the balance after the roof repair$

Answers

Answer:

100.00

Step-by-step explanation:

it's 100.00 because the roof is being repaired and the person will have to pay after

is -1/3-4/5 positive,negative,or zero

Answers

The fraction expression given as  -1/3-4/5  is a negative number

How to categorize the number?

The fraction expression is given as

-1/3 - 4/5

From the above expression, we observe that:

The numbers are fractionsThe numbers are negative numbers

The sum of two negative numbers will result in another negative number

This means that the value of -1/3 - 4/5 is a negative expression

Solving further, we have:

-1/3 - 4/5

Evaluate the expression

-1/3 - 4/5 = -17/15

See that 17/15 is negative

Hence, -1/3 - 4/5 is negative

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x = 8.27 rounded to the nearest tenth

Answers

Answer:

x = 8.3

Step-by-step explanation:

We look at the final place of the decimal to round, in this case the thousandths place (underlined)

8.27

If the final place of the decimal is greater than or equal to 5, we round up the decimal to the left, otherwise we round down.

Because 7 > 5, round 2 up to 3, therefore giving 8.3

Answer:

Your answer is 8.3!

Step-by-step explanation:

Step 1: Locate and underline the tenths place (2) then look at the digit to the right (7):

8.27

Step 2: In this case, the digit to the right (7) is 5 or above. So, we add 1 to the tenth place (2). The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 8.3 as the answer.

In short: 8.27 rounded to the nearest tenth is 8.3.

HELPPPP ME PLEASE!!!!

Always True

Sometimes True

Never True

Answers

Answer:

always

never

always

always (not 100% sure)

sometimes

sometimes (not 100% sure)

Step-by-step explanation:

this is what I got, hope it helps

Alway true is 100 percent the correct answer

8. Find the value of x if xsin45º. cos45°. tan60° = tan² 45° - cos²60⁰​

Answers

The study of the correlations between triangles' side lengths and angles is known as trigonometry. x= 0.11

What is trigonometry?

The study of the correlations between triangles' side lengths and angles is known as trigonometry. The field was created in Hellenistic era in the third century BC as a result of the use of geometry in astronomical research. While Indian mathematicians produced the earliest tables of values for trigonometric ratios (also known as trigonometric functions), such as sine, the Greeks concentrated on chord calculation.

Trigonometry has been used historically in the fields like geodesy, surveying, celestial mechanics, and navigation.

Trigonometry has a wide variety of identities. In order to simplify an expression, identify a more practical version of an expression, or solve an equation, trigonometric identities are frequently employed to rewrite trigonometrical expressions.

xsin45º. cos45°. tan60° = tan² 45° - cos²60⁰​

x0.7*0.70*1.73 =1*1-0.5*0.5

x = [tex]\frac{0.7*0.70*1.73}{1*1 - 0.5*0.5}[/tex] = 0.11

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A map ratio is 1:50 000. Two villages
are 8km apart. How far apart are they
on the map?

Answers

Answer: they should be 2cm apart

Step-by-step explanation: This means that 1 cm on the map represents an actual distance of 50 000 cm (or 500 m or 0.5 km). We saw above that if a map has a scale of 1 : 50000, then 1 cm on the map is 50000 cm in real life.

Rigid transformations are used to map the triangle formed by A(0,0),B(3,0),C(3,4) to triangle A ′ B ′ C ′ . If the coordinates of A ′ , B ′ And C′ are A ′ (−2,1) and B ′ (−2,−2) , what are the two possible answer for C’

Answers

The possible coordinates of the point C are : (-6,-2) and (2,-2).

A stiff transition called a rotation involves turning the item around a center point. The direction is changed, but the shape is still oriented in the same way. You can spin a form in any direction. A 180 degree rotation of the triangle is made around point C. A rigorous transition like this one may be seen here.

Rotation and translation are the only two elements of a rigid transformation. It does not alter the size or shape of an input object, nor does it involve reflection.

Hence as the graph shows, the coordinates of C' could be:

(-6,-2) and (2,-2)

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a computer password is required to be 8 characters long. how many passwords are possible if the password requires 1 letter(s) followed by 7 digits (numbers 0-9), where no repetition of any letter or digit is allowed?

Answers

There will be 15724800 computer passwords possible with 1 letter followed by 7 digits without any repetition of letters or digits.

It is given to us that -

A computer password is required to be 8 characters long

The computer password requires 1 letter(s) followed by 7 digits

The 7 digits are from numbers 0-9.

It is also mentioned that there will be no repetition of any letter or digit

We know that,

The total number of English alphabets = 26 (from a-z)

The total number of digits = 10 (from 0-9)

Since it is given that the computer password has

1 letter followed by 7 digits without any repetition of any letters or digits

So, the number of computer passwords that are possible can be -

[tex]26*10*9*8*7*6*5*4\\= 15724800[/tex]  (1 letter and 7 digits with no repetition)

Thus, 15724800 computer passwords are possible that contains 1 letter followed by 7 digits where no repetition of any letter or digit is allowed.

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A b c or d in problem below

Answers

The value of the expression will be;

⇒ log₅ (1/25) = - 2

Option D is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ log₅ (1/25)

Now,

Solve the expression as;

⇒ log₅ (1/25)

Since, log (a/b) = log a - log b

Hence,

⇒ log₅ (1/25) = log₅ 1 - log₅ 25

Since, log 1 = 0

⇒ log₅ (1/25) = 0 - log₅ 25

⇒ log₅ (1/25) = - log₅ 5²

Since, log a² = 2 log a

⇒ log₅ (1/25) = - 2 log₅ 5

Since,  log₅ 5 = 1

⇒ log₅ (1/25) = - 2 x 1

⇒ log₅ (1/25) = - 2

Thus, The value of the expression will be;

⇒ log₅ (1/25) = - 2

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HELP ME PLEASE!!! due tonight

Answers

Answer:

y=1x-5

Step-by-step explanation:

Use rise/run

Answer:

[tex]y=x-5[/tex]

Step-by-step explanation:

Just look at the slope and the y-intercept.

The y-intercept is b, and it's -5. The slope is 1, so it is x.


Levi is 5 feet, 9 inches tall. How many centimeters tall is Levi? (1 inch = 2.5 centimeters)

Answers

Answer:

175.259 cm

Step-by-step explanation:

When 6 times a number is increased by 11 the result is 16 less than 9 times the number. Find the number

Answers

Answer:

The number is 9

Step-by-step explanation:

6n + 11 = 9n -16  Subtract 6n from both sides of the equation

11 = 3x -16  Add 16 to both sides of the equation

27 = 3n   Divide both sides of the equation by 3

9 = n

water use per day in the summer in phoenix is normally distributed with mean of 310 millions of gallons and standard deviation of 45 millions of gallons. city reservoirs have a combined storage capacity of nearly 350 million gallons. city reservoirs have a combined storage capacity of nearly 350 million gallons. (a) what is the probability that a day requires more water than is stored in city reservoirs?

Answers

The probability that a day requires more water than is stored in city reservoirs will be; 0.965

What is a z- score?

The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.

Given that Water use in the summer is normally distributed with a mean of 310 million gallons and a standard deviation of 45 million gallons.

Let X be the random variable that shows the quantity of water required on a particular day.

Z-score :

[tex]Z = \dfrac{X - \mu}{\sigma},[/tex]

Now, the probability that a day requires more water than is stored in city reservoirs will be;

[tex]Z = \dfrac{350 -310}{45},[/tex]

Z = 0.965

We can see that the above value to the given P(X > 350)= 1 - P(Z < b), we get the value of b is; 0.965.

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a package container 72 plastic cups 17.99

Answers

Approximately, the unit cost of the plastic cups is $0.25

Here, we want to get the unit rate of the plastic cups

By unit rate, we mean the price of 1

From the question, the total 72 costs $17.99

The cost of one is thus;

[tex]\frac{17.99}{72}\text{ = 0.25}[/tex]

17.99/72=0.25

The answer is 0.25

Pls help Me its Due tonight I really struggle and have no time to do this pls help me .

Answers

The factorized polynomial 6x² + 15xy -14x -35y is given as (2x + 5y) (3x - 7)

Factorization of Polynomials

A polynomial is an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power.

To solve this problem, we simply need to factorize the polynomial given.

[tex]6x^2 + 15xy - 14x - 35y[/tex]

Let's look for a common factor and factorize similar or like terms.

[tex]6x^2 + 15xy - 14x - 35y\\(2x + 5y) (3x - 7)[/tex]

This is the the reduced or factorized form of the given polynomial.

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solve for t
275,000 = 300 1-(1 + .038/12 ) ^(-12t)/(.038/12)

Answers

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

The value of t exists [tex]$t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$$[/tex].

What is meant by an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Expressions have the following structure: (Number/variable, Math Operator, Number/variable).

Given: [tex]$275000=\frac{3001-\left(1+\frac{0.038}{12}\right)^{(-12 t)}}{\left(\frac{0.038}{12}\right)}$$[/tex]

Multiply both sides by 0.038 / 12, we get

[tex]$275000 \cdot \frac{0.038}{12}=\frac{3001-\left(1+\frac{0.038}{12}\right)^{-12 t}}{\frac{0.038}{12}} \cdot \frac{0.038}{12}$$[/tex]

Simplifying the above equation, we get

[tex]$\frac{5225}{6}=3001-\left(1+\frac{0.038}{12}\right)^{-12 t}$$[/tex]

Add [tex]$\left(1+\frac{0.038}{12}\right)^{-12 t}$[/tex] to both sides

[tex]$\frac{5225}{6}+\left(1+\frac{0.038}{12}\right)^{-12 t}=3001-\left(1+\frac{0.038}{12}\right)^{-12 t}+\left(1+\frac{0.038}{12}\right)^{-12 t}$$[/tex]

Simplifying the above equation, we get

[tex]$\frac{5225}{6}+\left(1+\frac{0.038}{12}\right)^{-12 t}=3001$$[/tex]

Subtract 5225 / 6 from both sides

[tex]$\frac{5225}{6}+\left(1+\frac{0.038}{12}\right)^{-12 t}-\frac{5225}{6}=3001-\frac{5225}{6}$$[/tex]

Simplify

[tex]$\left(1+\frac{0.038}{12}\right)^{-12 t}=\frac{12781}{6}$$[/tex]

By using exponent rules, we get

[tex]$-12 t \ln \left(1+\frac{0.038}{12}\right)=\ln \left(\frac{12781}{6}\right)$$[/tex]

Solve [tex]$-12 t \ln \left(1+\frac{0.038}{12}\right)=\ln \left(\frac{12781}{6}\right): \quad t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$[/tex]

[tex]$t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$$[/tex]

Therefore, the value of t exists [tex]$t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$$[/tex].

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A box is in the shape of a right rectangular prism made from cardboard has dimensions of 18 inches, by 12 inches, by 8 inches, as shown in the diagram below. find the volume of the box and show your calculations and use appropriate units

Answers

Volume of the rectangular prism = 1,728 in³

Explanation:

Volume of the rectangular prism = width × height × length

width = 12 in

length = 18 in

height = 8 in

Volume of the rectangular prism = 12 in × 8 in × 18 in

Volume of the rectangular prism = 1,728 in³

help !


Select the correct answer.
What is the measure of an angle that is the complement of angle R? R 80

Answers

Answer: B: 10

Step-by-step explanation:

complementary angles are two angles that add up to 90 degrees

Properties of equality can be used to justify steps in solving an equation.

Answers

ANSWER:

  4x-1=27

or,4x=27+1

or, x=28/4

or, x=7

Please help i’m begging due in a bit❗️❗️❗️❗️❗️❗️

Answers

3. 300

4. $180

5. $23.75

6. $102.6

Answer: 1 is 300 2 is 180 3 is 23.75 and the fourth one is 102.6

Step-by-step explanation: dont forget to add your $ signsss

Question 7 (2 points) Solve for x.
Round to the nearest hundredth.
cos x = 11.3/16.6
Blank 1:
Blank 2:

Answers

Answer:+0.82 and -0.8

Step-by-step explanation:

A toy company that makes bubbles fills its 8-ounce bottles using a machine. To check that the machine fills the bottles with the proper amount, the company randomly checks bottles off the assembly line. A bottle passes inspection if the percent error of the amount is 2% or less. What is the range of values that a bottle could contain to pass inspection? Round to the nearest hundredth.


oz to
oz???

Answers

The range of values that a bottle could contain to pass inspection will be 7.840 - 8.160 ounces.

How to calculate the value?

It was stated that the toy company that makes bubbles fills its 8-ounce bottles using a machine.

The bottle passes inspection if the percent error of the amount is 2% or less. The minimum range will be:

= 8 ounces - (2% × 8 ounces)

= 8 ounces - 0.16 ounces

= 7.84 ounces

The maximum range will be:.

= 8 ounces + (2% × 8 ounces)

= 8 ounces + 0.16 ounces

= 8.16 ounces.

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The allowable range for the toy company is [7.84, 8.16].

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, the allowable percentage error is 2% or less.

Now, 2% of 8 ounces is,

= (2/100)×8.

= 0.16 ounces.

So, the allowable range is from (8 - 0.16) = 7.84 ounces to

(8 + 0.16) = 8.16 ounces.

As it is being given that it is 2% or less we'll use include the least value too.

So, the allowable range of the bottles is [7.84, 8.16].

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what are the coordinates of r, the image of r(-4,3) after s reflection in the line y=x

Answers

Answer:

(3, - 4 )

Step-by-step explanation:

under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

(- 4, 3 ) → (3, - 4 )

What is -8.64 / -0.024?

Answers

Let's first write both numbers in their fraction form:

[tex]\begin{gathered} -8.64=-\frac{864}{100} \\ -0.024=-\frac{24}{1000} \end{gathered}[/tex]

then, we can write the division like this:

[tex]-8.64\frac{\cdot}{\cdot}-0.024=-\frac{864}{100}\frac{\cdot}{\cdot}(-\frac{24}{1000})[/tex]

Now, given the general rule for the division of fractions, we have:

[tex]\begin{gathered} \frac{a}{b}\frac{\cdot}{\cdot}\frac{c}{d}=\frac{a\cdot d}{b\cdot c} \\ b,d\ne0 \end{gathered}[/tex]

also notice that we are dividing two negative numbers, then our final result will be positive according to the law of signs. Then, we have in this case:

[tex]-\frac{864}{100}\frac{\cdot}{\cdot}(-\frac{24}{1000})=\frac{864\cdot1000}{24\cdot100}=\frac{864\cdot10}{24}=\frac{8640}{24}=360[/tex]

therefore the final result is 360

seven distinct pieces of candy are to be distributed among three bags. the red bag and the blue bag must each receive at least one piece of candy; the white bag may remain empty. how many arrangements are possible?

Answers

Using combination, there are 1932 arrangments possible.

A combination is a mathematical approach that counts the number of potential configurations in a box containing objects, regardless of their order.

In combinations, we can select items in any order. In combinations, the order doesn’t matter.

The combination formula of given as: n! / r!(n-r)!

Each candy would be distributed in three different ways if there were no limits on how many candies might fit in a bag. 3⁷ different ways to distribute the sweets in this scenario. However, only empty blue and red bags count in this scenario.

There are 2⁷ methods to distribute candy if the red bag is left empty.

Similarly, for the blue bag.

Hence there are 2⁷ +2⁷ – 1 ways to distribute candy such that either blue or red bag is empty.

The total amount of circumstances and ways to deliver the sweets

= 3⁷ – (2⁷ + 2⁷ -1)

= 1932

Therefore, there are a total of 1932 arrangements possible.

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HELPPPPP!!!!!!!!!!!!!!!!!!!!!1
Two similar triangles are shown below:

Two triangles are shown. The sides of the triangle on the left are marked 4, 5, 6. The sides of the triangle on the right are marked as 3, 2, and 2.5. For the triangle on the left, the angle between sides marked 6 and 5 is labeled as a, marked by a double arc, and the angle between the sides marked 6 and 4 is labeled as b, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 2 and 3 is labeled as c and the angle between the sides marked 2.5 and 3 is labeled as d, marked by a double arc. The angle between the sides 2 and 2.5 is labeled as e, marked by a triple arc, and it is also the angle on the top vertex of this triangle.
Which two sets of angles are corresponding angles? (4 points)

Group of answer choices

∠a and ∠e; ∠b and ∠c

∠a and ∠c; ∠b and ∠d

∠a and ∠e; ∠b and ∠d

∠a and ∠d; ∠b and ∠c

Answers

Step-by-step explanation:

the 2 triangles are similar.

that means their corresponding angles are equal, and their side lengths (and heights and so on) have all the same constant scaling factor.

so, we see that the side with the length 6 must corresponds to the side with the length 3 (factor 1/2).

as then the side with the length 5 corresponds to the side with the length 2.5, and the side with the length 4 corresponds to the side with the length 2 (all have the same factor 1/2).

a is the angle between 6 and 5 (the 2 longest sides).

the angle between the 2 longest sides in the smaller triangle (3 and 2.5) is d.

so, a and d correspond.

b is the angle between 6 and 4 (the longest and the shortest side).

the angle between the corresponding sides 3 and 2 is c.

so, b and c correspond.

therefore, the 4th and last answer choice is correct.

How many pounds of walnuts that cost $.80 per pound must be mixed with 8 pounds of cashews that cost $1.25 per pound to make a mixture of nuts that cost $1.00 per pound?

Answers

How many pounds of walnuts that cost $.80 per pound must be mixed with 8 pounds of cashews that cost $1.25 per pound to make a mixture of nuts that cost $1.00 per pound?​

Let

x ------> pounds of walnuts

we have that

0.80x+

Help me please I need help pleeeeeeeeeeaaaaaaaaaaase help I’ll give brainly

Answers

The Area of a Rectangle as a Sum and as a Product are as follows:

21. Area as sum = 12x + 60

Area as Product = 12(x + 5)

22. Area as sum = 5x + 20

Area as Product = 5(x + 4)

How to find the Area of a Rectangle as a Sum and as a Product?

As a product, we can multiply the height and the base of the rectangle.

As a sum, we can estimate the area finding the sum of the areas of each piece of the rectangle.

The missing pieces that will fill into the circles exists shown in the diagram attached below. The Area of a Rectangle as a Sum and as a Product are as follows:

21. Area as sum = 12x + 60

Area as Product = 12(x + 5)

22. Area as sum = 5x + 20

Area as Product = 5(x + 4)

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What is the term for innate patterns of behavior that are biologically determined rather than learned?. Which set of measurement could be the interior angle measures of triangle.A. 10, 10, 160B. 15, 75, 90C. 20, 80, 100D. 35, 35, 105E. 60, 60,60 algebra 1. g(x)=x^{2}-x, g(3b) g(x) = 5x + 2, find g(4). which of the following rulers is known for promoting buddhism, and for commissioning the construction of pillars inscribed with his laws, during the mauryan period? naram-sin ashoka ashurnasirpal ii hammurabi round 64,926 cs im lazy Part DAt one point on the trip, the miles are recorded as 15,121 when the gas tank is75% full. Use a ratio equation to determine the miles per gallon the sedanaverages. Round your answer to the nearest whole number. What defines setting When Ross solved the equation 12 = 3x, he made a mistake. Hiswork is shown below. What mistake did Ross make?3x = 123x - 3= 12-3x=9 How can Ethical trends affect my pharmacy business with (examples) 1 Parapgraph List each adjective in the paragraph below. Then beside each adjective, write the word that it modifies. Please help A form of government run by elected officials is aA liberationB detachmentC Reublic Identify if the statement is a general statement, a specific detail, or a false statemThe Supreme Court currently meets in New York City.O General statementO Specific detailO False statement/detail If f(x) = x + 5 and g(x) = 3x, find (f o g)(x) and (g o f)(x) . consider the emotions and events described in the poem. In your opinion, what would be an appropriate alternate title to convey the speakers perspective and experiences? Why? Use evidence from the text to support your response Select the entire absolute phrase in the sentence.When got home late, my mother stood waiting for me, her arms folded across her chest. Whats 8(2y-6x)=4+2x as a sentence? Which symbol archetype is most likely represented in this section? A. darknessB. lightC. a rising sunD. waterHeres the excerpt:Read the excerpt from The Princess and the Goblin by George MacDonald. Then, use the archetypes chart to answer the question.One very wet day, when the mountain was covered with mist which was constantly gathering itself together into rain-drops, and pouring down on the roofs of the great old house, whence it fell in a fringe of water from the eaves all round about it, the princess could not of course go out. She got very tired, so tired that even her toys could no longer amuse her. Explain the concept of solar constant. Describe the energy balance of Earth in detail. suppose you have an investment in a stock that had a negative 50% return (a loss) in the first year and a positive 50% return (a gain) in the second year. the geometric returns is 0%