does 6(2x-6)=-7(-2x+4) have no solution or infinite solution

Answers

Answer 1

Answer:

It does not.

Step-by-step explanation:

[tex]6(2x - 6) = -7(-2x + 4); \\ 6 * 2x - 6 * 6 = -7 * (-2x) + (-7) * 4; \\ 12x - 36 = 14x - 28; \\ 14x - 12x = -36 + 28; \\ 2x = -8; \\ x = -4.[/tex]

[tex]\{-4\}[/tex] is our set of solutions. Answering your question, it does not.


Related Questions

The five evidence-based recommendations addressed in the practice guide include all of the following except:
A. Teach math using a developmental progression and monitor progress to ensure math instruction builds on what each child knows.
B. Teach children to view and describe their world mathematical and integrate math instruction throughout the school day.
C. Make sure you have strong curriculum so that all the math skills are addressed.

Answers

Answer:

I would say b since this defintally usally you aren't expeced to use math ouside of math class at school

Hope This Helps!!!

Answer:

The correct answer is C.

Step-by-step explanation:

How much interest will Brian earn on $875 in his savings account after 3 months if the annual interest rate is 5.5%?

Answers

The interest that Brain would receive is $12.03.

How much interest would Brain receive?

The interest received is a function of the amount saved, interest time and the length of time the money was saved.

Interest = amount saved x number of months x (annual interest rate / 12)

$875 x 3 x (0.055 / 12) = $12.03

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Longhorn Corporation provides low-cost food delivery services to senior citizens. At the end of the year on December 31, 2021, the company reports the following amounts:


Cash $ 1,300 Service revenue $ 65,700
Equipment 27,000 Cost of goods sold (food expense) 53,000
Accounts payable 4,000 Buildings 36,000
Delivery expense 2,200 Supplies 3,000
Salaries expense 5,100 Salaries payable 900

In addition, the company had common stock of $36,000 at the beginning of the year and issued an additional $3,600 during the year. The company also had retained earnings of $17,400 at the beginning of the year.

Required:
Prepare the income statement for Longhorn Corporation.

Answers

The preparation of the income statement for Longhorn Corporation for the year ended December 31, 2021, is as follows:

Longhorn Corporation

Income Statement

For the year ended December 31, 2021

Service revenue                             $ 65,700

Cost of goods sold (food expense) 53,000

Gross profit                                      $12,700

Delivery expense     $2,200

Salaries expense        5,100            $7,300

Net Income                                     $5,400

What is the income statement?

The income statement also called income summary is a financial statement that shows the financial performance of a business for a defined financial period.

Thus, from the income statement, the net income and the gross profit, which represent the gains achieved by the entity, are derived.

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With the aid of a power reducing formula, 14sin² acos² a = ?

Answers

The reduced form of the trig expression is 7/2sin²2a

Trigonometry identity

Trigonometry identities are written in terms of sine, cosine and tangent. Given the trigonometry identity

14sin² acos² a

Since sin(a)cos(a) = sin2a/2, hence

14sin²acos²a = 14[sin(a)cos(a)]²

14sin²acos²a = 14(sin2a/2)²

14sin²acos²a = 14/4(sin²2a)

14sin²acos²a = 7/2sin²2a

Hence the reduced form of the trig expression is 7/2sin²2a

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(2x-1)²+8√2xy=4
4y-√8xy-1=1​

Answers

Answer:

Step-by-step explanation:

(2x-1)²+8√2xy=4

4y-√8xy-1=1

4y-2√2 x=2

multiply by 4

16y-8√2xy=8

add to first eq.

(2x-1)²+16y=12

or

16y=-(2x+1)²+12

which gives us a downward parabola.

Longhorn Corporation provides low-cost food delivery services to senior citizens. At the end of the year on December 31, 2021, the company reports the following amounts:


Cash $ 1,300 Service revenue $ 65,700
Equipment 27,000 Cost of goods sold (food expense) 53,000
Accounts payable 4,000 Buildings 36,000
Delivery expense 2,200 Supplies 3,000
Salaries expense 5,100 Salaries payable 900

In addition, the company had common stock of $36,000 at the beginning of the year and issued an additional $3,600 during the year. The company also had retained earnings of $17,400 at the beginning of the year.


Prepare the statement of stockholders’ equity for Longhorn Corporation.

Answers

The statement of stockholders’ equity for Longhorn Corporation is: $62,800

                                                           

Statement of stockholders’ equity

                        Common stock   Retained earning Total stakeholder equity

Beginning balance           $36,000    $17,400        $53,400              

Issuance of common stock  $4,000        -                $4,000

Add net income                          -        $5,400            $5,400

[65,700-(53,000+2,200+5,100)]

Ending balance                      $40,000    $22,800      $62,800

Therefore the statement of stockholders’ equity for Longhorn Corporation is: $62,800.

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At the beginning of the year (January 1), a company has $11,000 of common stock outstanding and retained earnings of $7,900. During the year, the company reports net income of $8,200 and pays dividends of $2,900. In addition, the company issues additional common stock for $7,700.

Answers

The preparation of the statement of stockholder's equity at the end of the year (December 31) is presented below in the form of table.

How to find the stockholder's equity?

The preparation of the statement of stockholder's equity at the end of the year (December 31) is presented as:

                                   Statement of stockholder's equity        

Particulars Common stock Retained earnings    Total stockholder  

                                                                                          Equity

Beginning

balance        $11,000                  $7,900                     $18,900

Add: Additional

common stock $7,700                                                   $7,700

Add: Net income                           $8,200                    $8,200  

Less - dividend                            -$2,900                    -$2,900

Ending balance  $17,000              $5,300                 $5,300

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Glenn, the owner of a hardware store, originally paid $54.60 for 15 tool sets. At his year-end clearance sale, he sold the last tool set for 24.00 How much money did he lose on the last tool set.

Answers

The amount of money he lose on the last tool set is: $30.60.

Amount lose

Using this formula

Amount lose=Original amount paid -Selling price

Where:

Original amount paid=$54.60

Selling price=$24.00

Let plug in the formula

Amount lose=$54.60-$24.00

Amount lose=$30.60

Therefore the amount of money he lose on the last tool set is: $30.60.

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Volume and surface area

Answers

By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.

How to determine the volume of a composite figure

The volume of the composite figure is the sum of the volumes of the two figures: (i) a cone, (ii) a hemisphere. The volume formula of the figure is shown below:

[tex]V = \frac{2\pi}{3} \cdot r^{3} + \frac{\pi}{3}\cdot r^{2}\cdot h[/tex]      

If we know that r = 5.3 cm and h = 8.4 cm, then the volume of the composite figure is:

V = (2π/3) · (5.3 cm)³ + (π/3) · (5.3 cm)² · (8.4 cm)

V ≈ 558.900 cm³

By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.

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Assuming you are a business owner with different shareholders. How may zero growth stock valuation and constant stock valuation affect your business operations?

Answers

The ways that zero growth stock valuation can affect business operations is that:

When zero-growth model states that the dividend is at the same rate, it shows that one has no measure of growth in terms of dividends. This therefore  shows that stock price is equal to the annual dividends and divided also by the needed  rate of return.

What ways does constant stock valuation affect business operations?

The Constant  stock valuation  is known to be a kind of share evaluation as it states that the dividends paid by a firm will consistently increase at a constant growth rate.

This will help one to know especially investors on how to set or know the fair price that one needs to pay for a stock on daily basis today by due to future dividend payments.

The overall statement is that  stock value affect one's business operations as  the company's stock price is one that shows an investor perception of their capability to get profit and also if they can grow their profits in terms of future times.

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Please help! The graph of a linear function passes through the points (-2,-5) and (1,-3).

Find the slope of this function.

Answers

Answer:

m=2/3

Step-by-step explanation:

[tex]m=\dfrac{\delta y}{\delta x} \\\\=\dfrac{-5-(-3)}{(-2)-1}\\ \\\dfrac{2}{3}[/tex]

length
AT=5,
3 In right triangle ABC shown below, point D is on
AB and point E is on CB such that AC || DE.
C
D
E
B
If AB= 15, BC = 12, and EC = 7, what is the
length of BD?
1) 8.75
2) 6.25
3) 5
4) 4
id or create
k as done
nments
Assi
to Susan Guha

Answers

Answer:

6.25

Step-by-step explanation:

BE = BC - EC = 12 - 7 = 5

BE/BC = BD/AB

5/12 = BD/15

BD = 15(5/12) = 6.25

The graph of f(x)=x2 is shown. Use the parabola tool to graph the function g(x)=(15x)2 . To graph a parabola, first plot the vertex then plot another point on the parabola

Answers

The graph of the parabola can be seen in the image below.

How to plot the parabola?

Here we have the function:

g(x) = (15x)^2

Notice that this is a contraction of scale factor 15 of the function f(x) = x^2

To graph this, we can just evaluate the function in 3 points, the vertex and two other ones.

for x = 0.

g(0) = (15*0)^2 = 0

So we have the point (0, 0).

Evaluating in x = 1 and x = -1 (give the same value) we get:

g(±1) = (±15)^2 = 225

So we have the points (1, 225) and (-1, 225).

Now we can just connect these 3 points with a parabola. The graph can be seen below.

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Consider the problem: Jasmine wants to buy a brand new pair of headphones that cost $99. While she already has $40 saved up, she is planning on working at a local grocery store for $8 an hour to make up the extra cash. Which of the following inequalities will help her determine values of h, the number of hours that Jasmine can work so she can afford the new headphones?

Answers

The number of hours that Jasmine can work so she can afford the new headphones x = 6 weeks.

let x represent the number of weeks it will take to save enough money.

If she saves $11 each week, then in x weeks she will save  11x dollars.

Add this to the 107 she has already saved, and at the end of 11 weeks she will have

  11x + 107 dollars.

We want the amount saved to be equal to the price of the bike, so our equation is

11x + 107 = 173

In a word problem, writing the equation is usually the hardest part. Now we solve the equation.

Subtract 107 from both sides to get

11x = 66

Divide both sides by 11 to get

x = 6 weeks.

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Whats the correct answer answer asap for brainlist

Answers

Answer: mountains
Explanation: The snow melts into the rivers

please help me i don’t get it will send extra points

Answers

The value is 1/2

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

Given:

(5 +(2-1.5)/1*(2))/12

=(5+ 0.5*2)/12

=(5+1)/12

=6/12

=1/2

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Find the area under the standard normal curve to the left of z=2.63. Round your answer to four decimal places, if necessary.

Answers

The area under the standard normal curve to the left of z = 2.63 is given by calculator will be 0.995.

What is a normal distribution?

The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The area under the standard normal curve to the left of z = 2.63 is given by calculator will be

Area = 0.995

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please can you hurry

What is the truth value for the following conditional statement?


p: true


q: false


p → q

ANSWERS

T F → T

F F → T

T F → F

F T → T

Answers

In the case above,  the truth value for the following conditional statement is  Option B: F F → T.

What is the conditional statement about?

The truth value that was given in the statements are:

p : trueq : true

So one can write that the truth values of :

p : false

q : false

Then, one need to find the truth value of (p → q)

Note that when as it is written, it means or implies that the truth value of any two statements is false.

If P is true and Q is false then one can say that in every condition, the truth value holds true. So we can then say that p → q: True

In the case above,  the truth value for the following conditional statement is  Option B: F F → T

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Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"?

Answers

The transformation is R₁R_Q ₁₈₀° option second is correct if the quadrilateral PQRS transformed into P"Q'R"S"

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a quadrilateral PQRS shown in the picture.

From the transformation:

The image of Q(x, y) = Q'(-x, -y) will be the highest and leftmost point following the rotation since Point S is the lowest and farthest point to the right of Point Q.

The same applies to points P P' and R R'.

Thus, the transformation is R₁R_Q ₁₈₀° option second is correct.

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Answer:

Option B is the correct answer

What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 96 words per​ minute

Answers

Using the normal distribution, it is found that there is a 0.1029 = 10.29% probability that the sample mean is above 96.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Researching the problem on the internet, the parameters are given as follows:

[tex]\mu = 92, \sigma = 10, n = 10, s = \frac{10}{\sqrt{10}} = 3.1623[/tex]

The probability that the sample mean is above 96 is one subtracted by the p-value of Z when X = 96, hence:

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

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{96 - 92}{3.1623}[/tex]

Z = 1.265

Z = 1.265 has a p-value of 0.8971.

1 - 0.8971 = 0.1029 = 10.29% probability that the sample mean is above 96.

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If 10 inches on a map represents an actual distance of 100 feet, then what
actual distance does 25 inches on the map represent?

Answers

According to the given conditions, state:

10 × 100 = 25 ÷ x

If the fraction is defined, then the denominator cannot equal 0:

x≠0

Attach the inequality as the domain: x≠0

Reduce the fraction to the smallest term, canceling the greatest common factor: 1/10 = 25/x.

Multiply both sides of the equation by the common denominator:

10x/10 = 25 × 10x / x

Simplify the fractions: x = 250

Find the intersection: x = 250

get the result: x = 250

Answer: x = 250

the actual distance would be 250 feet.

{ Pisces04 }

65 people took a clarinet exam. Before the exam, 23 people predicted that they would pass, and the rest predicted they would fail. Of the people who predicted they would pass, 18 actually did. In total, 31 people passed the clarinet exam. What fraction of those who thought that they would fail actually did fail?​

Answers

Answer:

The answer is 29/42

Step-by-step explanation:

First, let's calculate how many people predicted they would fail. The question states that 65 people took the exam and 23 predicted they would pass, so we can find the number of people that predicted they would fail by the following calculation:

Let FP be the people who predicted they'd fail

65 = 23 + FP

65 - 23 = FP

42 = FP

Now, let's move on to the next part. The question states that a total of 31 people passed the test, from those 18 being the people who predicted they would pass and the rest are people who had predicted they would fail but ended up passing.

Let's set x as the number of people who predicted they would fail but have passed.

31 = 18 + x

31 - 18 = x

13 = x

Since 13 of the 42 FP have passed, we can calculate how many of them failed. Let y be the number of people that predicted to fail and ended up failing:

13 + y = 42

y = 42 - 13

y = 29

Finally, now we have the fraction of those who predicted that they would fail actually did fail and that's 29/42

Please help with these 2 questions. I got 73.0 for question 12

Answers

The height of the tower based on the angle of elevation given is

How to calculate the height?

From the information given, the tower is 45m, the clinometer is set at 1.3m above the ground, and the angle of elevation is 32°.

This can be illustrated as:

tan 32° = (45 - 1.3)/x

tan 32° = 43.7/x

x = 43.7/tan 32°

x = 69.93m.

Also, for triangle ACD,

tan 47° = (43.7 + y)/x

x × tan 47° = 43.7 + y

74.49 = 43.7 + y

y = 31.29

The height of the tower will be:

= 43.7 + 31.29

= 74.99m

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GIVING BRAINLIEST TO THE FIRST PERSON WHO CAN SOLVE THESE QUESTIONS. :)

Answers

Answer:

1) y = 2(x+3)^2 -4

2) x+6/x-4

3) 2x^2 + 6x +20 = 0

Step-by-step explanation:

triangle abc is equal to triangle pqr, angle p=8x+4, angle a=5x+16 , and angle q=10x+2. find angle r
a. 36
b.not enough info
c. 42
d. 102

Answers

Answer: b.not enough info

Step-by-step explanation:

Corresponding angles of congruent triangles are congruent, so [tex]\angle A =\angle P[/tex]

However, we don't have all 3 interior angles of either triangle, so we cannot conclude anything.

If Jonathan has 2 times as many dimes as quarters and they have a combined value of 360 cents, how many of each coin does he have?

Answers

Answer:

16 dimes8 quarters

Step-by-step explanation:

When ratios of quantities are given, it is often convenient to consider a group of objects in which the objects have that ratio.

How many groups?

Here, we have 2 dimes for each quarter, so a group of 2 dimes and 1 quarter is a useful group for this problem. Its value is 2×$0.10 +0.25 = $0.45.

The total value of all of the groups is $3.60, so there must be ...

  $3.60/($0.45/group) = 8 groups

The 8 groups of coins will have 16 dimes and 8 quarters.

In the year 1985, a house was valued at $106,000. By the year 2005, the value had appreciated to $146,000. What was the annual growth rate between 1985 and 2005? Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010?

Answers

The value of the house in the year 2010 is 150056.47.

What is growth rate?

The growth rate of a value (GDP, turnover, wages, etc.) measures its change from one period to another (month, quarter, year)

Value

v(t) = V0 ( 1 + r)^t

let V0 =  106, v(20) = 146

So,

146 = 110(1 + r )^20

146/110 = (1 + r )^20

1.327 = (1 + r )^20

1+ r = 1.014

r= 0.014

So, annual growth rate is 1.4%.

In the year 2010

v(t) = 106(1.014)^25

v(t) = 106(1.014)^25

v(t) - 150056.47

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yoo if you passed algebra one help me with these questions please should be pretty easy u dont have to explain or anything.

1) Find the domain of the function f ( x ) = 3 ( 3 ) x - 1
options: a. ( 0, ∞ ) b. ( − ∞, ∞ ) c. ( − ∞, 0 ) d. ( 0, 10 )

2) What is the range of the function f ( x ) = 2 x.
options: a.( 0, ∞ )b.( − ∞, 0 )c.( − ∞, ∞ )d.( − ∞, 1 ]

3) What is the range of the function f ( x ) = 2 x.
options: a. ( 0, ∞ ) b. ( − ∞, 0 ) c. ( − ∞, ∞ ) d. ( − ∞, 1 ]

4) What is the domain of the function f ( x ) = 2 x.
options: a. ( 0, ∞ ) b. ( − ∞, 0 ] c. ( − ∞, 0 ) d. ( − ∞, ∞ )

5) What is the range of the function f ( x ) = 2 x − 2.
options: a. [ 1, 5 ] b. ( − ∞, 0 ) c. ( − ∞, ∞ ) d. ( 0, ∞ )

6) What is the domain of the function f ( x ) = -2 x
options: a. ( − ∞, 0 ) b. [ − 1, 5 ] c. ( − ∞, ∞ ) d. ( 0, ∞ )

7) Find the range of the function f ( x ) = -.5 ( 3 ) x-1
options: a. ( 1, ∞ ) b. ( − ∞, 0) c. ( − ∞, ∞ ) d. ( − ∞, -1 )

thanks :)

Answers

See below for the domain and the range of the functions.

How to determine the domain and the range?

As a general rule, all linear functions have a domain and a range of all set of real numbers i.e.  (−∞, ∞)

The functions (2), (3), (4), (5) and (6) are linear functions.

So, their domain and range are  (−∞,∞)

For function (1), we have:

f(x) = 3(3)^x - 1

The above is an exponential function.

The domain of an exponential function is all set of real numbers i.e.  (−∞, ∞)

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4x=-3y+12 I don't know the answer to this please help.

Answers

Answer: y = -4x/3 + 4

Step-by-step explanation:

Assuming you want to solve for y:

4x = -3y + 12

-4x/3 = y - 4

y = -4x/3 + 4

The price p (in dollars) and the demand X for a particular clock radio are related by the equation X = 3000 -10p. Find and answer A - D

Answers

The price p based on the equation given is p = 3000 - 0.1x.

How to express the price?

The equation given in the question is x = 3000 - 10p. The price(p) will be:

x = 3000 - 10p.

Make p the subject of the formula

x + 10p = 3000

10p = 3000 - x

p = (3000 - x)/10

p = 3000 - 0.1x

The revenue will be price multiplied by quantity. This will be:

= (3000 - 0.1x) × x

= 3000x - 0.1x²

The marginal revenue will be calculated after differentiating. This will be:

= 3000x - 0.1x²

= 3000 - 0.2x

The demand which is the quantity based on the information will be:

3000 - 0.2x = 0

0.2x = 3000

x = 1500

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In the Late Middle Ages, the Lombard League and Hanseatic League are both examples of the return of political empires powerful religious orders mutual-defense alliances to protect trade the rise of spectator sports Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 5y = 750 750 y(y 5) = 0 y(y 5) + 750 = 0 (y + 25)(y 30) = 0 Anyone help me with please need help One characteristic of absolutism is ,!!!!!!Choose the right forms of the verbs to fill in the gaps.17)When I ______________ home yesterday, I _______________ that my little brother ______________ my pen and ________________ with its pieces. came, saw, had broken, was playing came, saw, was braking, had played had come, had seen, broke, was playing18)Choose the correct answer.1) She (sit) ____ on the chair and watching TV from 5 to 7 pm. was sitting was siting sat sited2) Mr. Brown (have) ____ a shower when I knocked on his door. was having did have were having had3) I got up at 7 and then I (have) ____ a big breakfast. had was hading was having have4) Her parents (dance) ____ at the ball when the burglar broke into their house. was dancing have been dancing were dancing danced5) I (see) ____ Lucy last Sunday. were seeing saw was seeing seed6) I (watch) ____ TV when the phone rang. did watch was watching were watching watched7) The weather (be) ____ bad yesterday, so we did not go out. was was being were being were Which of the following is NOT a factor of b3 +6b?63062Ob(b + 6) A line is parallel to y = 5x + 3 andintersects the point (3, 9).What is the equation of thisparallel line?y = 5x + [?] Who wrote Madame Bovary, a fictionalized account of the life of Delphine Delamare, the adulterous wife of a country doctor who died of grief after deceiving and ruining him Binge eating is characterized by (5 points)distorted body image and an extreme limitation of calorie intakelimiting types and amounts of foods eaten without feelings about body sizeout of control eating followed by compensating for the intake of calorieswanting to eat alone and lack of control over when to stop eating XYZ was reflected to form LMN.Triangle X Y Z is reflected to from triangle L M N. Angle Z Y X is 86 degrees and angle Y X Z is 38 degrees. Angle L N M is 56 degrees and angle N M L is 86 degrees.Which statements are true regarding the diagram? Check all that apply.XYZ LMNY MX LZ LYZ MLXZ LN Divide 10000 among Irfan and asim in the ratio 2:3 lol please help me goodness gracious Is there a demonym / gentilic for abya yala? (indigenous name of the american continent) Ozzie Foster deposits $2,000 at the end of each year (ordinary annuity) into an Individual Retirement Account at Bishop Bank. The account pays 7% compounded annually. a) How much will be in the account in 25 years? b) If Ozzie had deposited the $2,000 at the beginning of each year (annuity due), how much would be in the account in 25 years? The __________ process of adding new information to an already existing schema or cognitive framework is more common than the __________ process of changing the larger organizing schema to fit a smaller one. two numbers are the ratio of 2:7. their sum is 63. what is the larger number? Bill's Roast Beef sells 8 times as many sandwiches as Pete's Deli. The difference between their sales is 434 sandwiches. How many sandwiches did each sell? Read "I Wandered Lonely as a Cloud" and answer the question.[1] I wandered lonely as a cloudThat floats on high o'er vales and hills,When all at once I saw a crowd,A host, of golden daffodils;[5] Beside the lake, beneath the trees,Fluttering and dancing in the breeze.Continuous as the stars that shineAnd twinkle on the milky way,They stretched in never-ending line[10] Along the margin of a bay:Ten thousand saw I at a glance,Tossing their heads in sprightly dance.The waves beside them danced; but theyOut-did the sparkling waves in glee:[15] A poet could not but be gay,In such a jocund company:I gazed-and gazed-but little thoughtWhat wealth the show to me had brought:For oft, when on my couch I lie[20] In vacant or in pensive mood,They flash upon that inward eyeWhich is the bliss of solitude;And then my heart with pleasure fills,And dances with the daffodils.What happens in the first stanza?O The poet describes a time that he felt lonely and came upon a field of daffodils.O The poet ponders the meaning of life and the challenges and joys of the hills and valleys.The poet reflects on a moment when he realized that nature could be gentle or harsh.O The poet sees an amazing view from the mountaintops he has just finished climbing. Who housed United States Naval bases in the early 1900s A grocery store chain has been tracking data on the number of shoppers that use coupons. the data shows that 71% of all shoppers use coupons. 36 times out of 40 these results were considered accurate to within 2.5%. what is the confidence interval?