What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x? Discriminant = b2 – 4ac

Answers

Answer 1

Answer:

The answer is 16.

Step-by-step explanation:

First, you have to make the equation into 0 by moving all the terms to one side :

[tex] - 3 = - {x}^{2} + 2x[/tex]

[tex] {x}^{2} - 2x - 3 = 0[/tex]

Next, you have to apply Discriminant Law, D = b² - 4ac :

[tex]D = {b}^{2} - 4ac[/tex]

[tex]let \: a = 1 \: , \: b = - 2 \: , \: c = - 3[/tex]

[tex]D = {( - 2)}^{2} - 4(1)( - 3)[/tex]

[tex]D = 4 + 12[/tex]

[tex]D = 16[/tex]


Related Questions

What is the x-coordinate of point P on the coordinate grid?

Answers

Answer:

-3/2

Step-by-step explanation:

We have to see where the point lies, check the x-axis from the graph.

(-3/2, 1/2)

x = -3/2

-3/2

Step-by-step explanation:

We have to see where the point lies, check the x-axis from the graph.

(-3/2, 1/2)

x = -3/2

Write an algebraic equation to match each graph. (These graphs are not drawn to scale!) please help me! i will make brainliest answer if correct!

Answers

Answer: - l x+1 l + 1   remember l is the absolute value sign.

Step-by-step explanation:

We need to know that this is an absolute value function graph. So looking at the graph we could see that is is shifted vertical or up  by 1 and it has been shifted to the left by 1 units and it also opens down.

So we could represent that by the equation.

y =  -l x +1 l +1  

Does anyone know this! Thanks

Answers

Answer:

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

C = 2 * pi * 3.5

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

Each group of students receives a bag that has 9 red cubes, 5 green cubes, and 11 blue cubes. If each group makes 1000 pulls and replaces the cube after each pull, how many times would you expect them to draw a blue cube?

Answers

Answer:

440 times

Step-by-step explanation:

First you need to find the total number of cubes each student recieves (25)

Now you put it into a ratio 11 : 25

After that make another ratio with 1000 and solve for x

x : 1000

25x = 11000

x = 440

Answer:

440 blues

Step-by-step explanation:

9 red cubes, 5 green cubes, and 11 blue cubes = 25 cubes total

P( blue) = 11/25

To find out how many blue cubes are expected, take the probability and multiply by the number of draws

11/25 * 1000 draws

440 blues

Which of the following geometric series converges?

Answers

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is

[tex]S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}[/tex]

Multiply both sides by r :

[tex]rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n[/tex]

Subtract the latter sum from the first, which eliminates all but the first and last terms:

[tex]S_n-rS_n=a-ar^n[/tex]

Solve for [tex]S_n[/tex]:

[tex](1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}[/tex]

Then as gets arbitrarily large, the term [tex]r^n[/tex] will converge to 0, leaving us with

[tex]S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}[/tex]

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

Please hurry!!!

The fraction bars represent which equation?

A fraction bar is labeled 1. Underneath the bar, 4 boxes are labeled 1/4. Underneath the 4 boxes, boxes are labeled 1/8. 6 of those boxes are circled.

A. 1/4 ÷ 1/8 = 6
B. 3/4 ÷ 1/8 = 6/8
C. 1/4 ÷ 1/8 = 6/8
D. 3/4 ÷ 1/8 = 6​

Answers

Answer:

Answer- 3/4 divided by 1/8 = 6/8

Experiment consist of drawing one card from a standard 52 card deck. What is the probability of drawing a black 10?

Answers

Answer:

2/52 or 1/26 or 0.0385 or 3.85%

Step-by-step explanation:

There are 2 black 10's in a standard 52 card deck.

2/52 or 1/26 or 0.0385 or 3.85% (depending on how your teacher wants it expressed)

Here is the answer (in percent): 3.85%

Help needed urgently explain how to do for each and everyone, please

Answers

Answer:

1) a

0.1 = 1/10

b).

0.64 = 64/ 100 = 16/25

2).a

0.7841 = 7841 / 10,000

b).

0.67 = 67/100

3). a

0.53 = 53/100

b).

0.26 = 26/100 = 13/50

4). a

0.6 = 6/10 = 3/5

b.

0.42 = 42/100 = 21/50

Hope this helps you

Can Negative numbers turn into Scientific Notation?

Answers

Answer: Yes, negative numbers can be written in scientific notation

Examples:

-1200 = -1.2 * 10^3

-1,897,000 = -1.897 * 10^6

We simply can ignore the negative at first, then convert to scientific notation (as you normally would with any positive number). Afterward, don't forget to put the negative back in.

Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).

Answers

Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 2 --> 2(x, y)

Before-> After dilation

2(-3,3) = (-6,6)

2(0,6) = (0,12)

2(2,4) = (4,8)

Please leave a 'thanks' if this helps!

ABCD is not drawn to scale. Based on the angle measures given, ABCD
a parallelogram.

A. must not be
B. may or may not be
C. must be

Answers

The quadrilateral ABCD must be a parallelogram.

Properties of a parallelogram

For a parallelogram, the opposite angles and sides are always equal.

From the given quadrilateral, you can see that opposite angles are equal that is:

m<B = m<D

Based on this, we can conclude that the quadrilateral ABCD must be

a parallelogram.

Learn more on parallelogram here: https://brainly.com/question/970600

Answer: Must Be

Step-by-step explanation:

Rectangle GHJK is rotated 180º using the origin as the center of rotation. What are the coordinates of the image’s point K after the rotation? On a coordinate plane, rectangle G H J K has points (2, negative 3), (8, negative 3), (8, negative 7), (2, negative 7). (–2, 7) (–7, –2) (–7, 2) (2, 7)

Answers

Answer:

(-2,-7)

Step-by-step explanation:

Answer:

-2,-7

Step-by-step explanation:

ASAP! can someone help solve this with work?

Answers

Answer:

I don't just want to tell you the answer but I can tell you how.

Step-by-step explanation:

Use the pythagorean theorem, since this is a right triangle. If you don't know what this is its a^2+b^2=c^2

I hope this helps, if you have questions comment or look online.

Mark scored an 89 on his first
test, an 85 on his second test, a
95 on his third test, and an 83 on
his fourth test. What is Mark's
average test score for all 4 tests?

Answers

Answer:

88

Step-by-step explanation:

89+85+95+83= 352,

352/4 = 88

It would be 88 you can just use a grade calculator next time

which equation is correct?



arccsc(x)=1/cos(x)

Answers

Answer:

arccsc(x)=1/cos(x)

Step-by-step explanation:

Answer:

the answer to your question is D

Step-by-step explanation:

What’s the slope for this graphed?
A.1/2
B.-2
C.2
D.-3

Answers

Answer:

the answer is just 2

Step-by-step explanation:

start at the -3 and move right 3 and up 6 this is a inclined line so the answer will be positive the fraction put the numbers into a rise over run fraction which will be 6/3 which will reduce to 2/1 which is 2.

can someone help me please i'm so lost

Answers

Answer:

  see the attached

Step-by-step explanation:

Step 1.

The sample size is the number of numbers. There are 10 of them.

  n = 10

The mean is the sum of the numbers (1240) divided by the number of them (10).

  [tex]\overline{x}=\dfrac{1240}{10}=124[/tex]

__

Step 2.

It is convenient to let a spreadsheet (or calculator) do the math. Enter the numbers and the formulas shown in the table, and let the spreadsheet do the rest.

  [tex]\sum{(x-\overline{x})^2}=1494[/tex]

The formulas for the sample variance and sample standard deviation are given. Fill in the numbers you have so far and do the indicated calculation.

  [tex]s^2=\dfrac{\sum{(x-\overline{x})^2}}{n-1}=\dfrac{1494}{9}=166\\\\s=\sqrt{166}\approx 12.88[/tex]

Anna is saving to buy some souvenirs on a family vacation. She has already saved $125, and she saves another $2 from her allowance every day. Formulate and then graph the equation that models the total amount Anna saves, y, in terms of the number of days she adds to her savings, X.​

Answers

Answer:

y = 2x + 125

Step-by-step explanation:

y = mx + c

c in this problem is $125.

It is the amount of money she has already saved, that is not going to change, so this is the y intercept.

She saves $2 every day, with the number of days being x.

So she saves $2 × x = 2x

2x is the gradient.

On your graph, your straight lien should run through 125 on the y-axis.

The line should have a gradient, or slope, of 2x.

Make sure to plot carefully, looking at the scale of the graph.

The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Anna is saving to get a few keepsakes on a family excursion. She has previously saved $125, and she saves another $2 from her remittance consistently.

Let 'x' be the number of days and 'y' be the total cost. Then the equation is given as,

y = 2x + 125

The equation is that the total amount Anna saves will be y = 2x + 125. And the graph of the line is drawn below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

-----------------> 10x - 3 - 2x = 4

Answers

Answer:

[tex]x=\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]10x-3-2x=4[/tex]

First, collect and rearrange the like terms.

[tex]10x-3-2x=4[/tex]

[tex]8x-3=4[/tex]

[tex]8x=4+3[/tex]

Then, solve the equation:

[tex]8x=4+3[/tex]

[tex]8x=7[/tex]

[tex]x=\frac{7}{8}[/tex]

So, the answer is [tex]x=\frac{7}{8}[/tex]. Hope my solution and explanation can help you. Thank you!

If you still cannot get the point, you can ask me anytime.

Answer:

x=7/8

Step-by-step explanation:

10x-3-2x=4

collect like term

8x-3=4

move constant to the right-hand side and change its sign

8x-3=4 into 8x=4+3

add up the number : 8x=4+3

8x=7 divide both sides of the equation by 8

x = 7/8

Find the.equation of the line through point (-4,1) and parallel to y=-1/2x -2

Answers

This is a hard one but i believe you should ask help on this me myself don’t understand

Answer: y = -1/2x -1

Step-by-step explanation: since the new line is parallel to the given line the slope of both the lines world be same. Therefore putting the new values in the equation

y-y1=m(x-x1)

y-1=-1/2(x+4)

y-1=-1/2x -2

y=-1/2x-1

please solve these questions for me. i am having a difficult time understanding.

Answers

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

1)

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

[tex]\angle AED = \angel BEC[/tex] ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

2)

Refer the attached figure

[tex]\angle ABC = 90^{\circ}[/tex]

In ΔDBC

BC=DC (Given)

So,[tex]\angle CDB=\angle DBC[/tex](Opposite angles of equal sides are equal)

So,[tex]\angle CDB=\angle DBC=x[/tex]

So,[tex]\angle CDB+\angle DBC+\angle BCD = 180^{\circ}[/tex] (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So,[tex]\angle CDB=\angle DBC=x = 65^{\circ}[/tex]

Now,

[tex]\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90[/tex]

So,[tex]\angle ABD=90-x=90-65=25^{\circ}[/tex]

In ΔABD

AB = BD (Given)

So,[tex]\angle BAD=\angle BDA[/tex](Opposite angles of equal sides are equal)

So,[tex]\angle BAD=\angle BDA=y[/tex]

So,[tex]\angle BAD+\angle BDA+\angle ABD = 180^{\circ}[/tex](Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

Which of the following is NOT true about complementary angles? (A) Both angles are acute. (B) Neither angle can be a right angle. (C) Their angle measures have a sum of 90°. (D) Their angle measures cannot be equal.

Answers

Answer:

(D) Their angle measures cannot be equal.

Step-by-step explanation:

(A) It's fine if both angles are acute.

(B) None of the angles can be a right angle.

(C) Their sum has to be 90°.

(D) Their angle measures can be equal.

Answer:

Step-by-step explanation:

D is correct.  Complementary angles can certainly be equal (e. g., 45 and 45 degrees) or unequal (e. g., 30 and 60 degrees).

Jan is solving the equation shown below. Which of the following represents the solution to Jan’s equation?

a. x = 3
b. x = -3
c. x = 27
d. x = -33

Answers

Answer:

C. X=27

Step-by-step explanation:

-11+1/3x+9=7

1/3x=7+11-9

1/3x=9

x=9x3

x=27

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

Answer:

72cm2 (2 means squared)

Step-by-step explanation:

you add all the sides once you get the are for each side. To do that you multiply l(w)

Answer:

The surface area of the rectangular prism is [tex]136cm^{2}[/tex]

Step-by-step explanation:

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

What is rectangular prism?

A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.

Given, length l= 7cm

          breadth b=6cm

          height h=2cm

The surface area of the cuboid is,

=2(lb+bh+lh)

=2(7*6+6*2+2*7)

=2(42+12+14)

=2*68

=136 [tex]cm^{2}[/tex]

To know more about surface area, rectangular prism here

https://brainly.com/question/21226782

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Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.

Answers

Answer:

Option A.

Step-by-step explanation:

there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.

Let x and y be the number of stamps of 40 cents and 55 cents respectively.

Total number of stamps is 45. So

[tex]x+y=45[/tex]

Total cost of stamps is $18.75. So

[tex]0.40x+0.55y=18.75[/tex]

But Krista wrote the system of equations as

[tex]0.40x+y=45[/tex]

[tex]x+0.55y=18.75[/tex]

Krista put 0.40 in the first equation meant for the number of stamps.

Krista did not write 0.40 in the second equation meant for the value of stamps.

Therefore, the correct option is A.

Answer:

The answer is A

Step-by-step explanation:

TOOK THE TEST!

There were some people on a train. 19 people got off the train at the first stop. 17 people get on the train. Now there is 63 people on the train. How many people were on the train to begin with?

Answers

Answer:

65 people.

Step-by-step explanation:

We have to work backwards.

We end with 63 people, and at the stop we lost 19 people and gained 17.

[tex]x - 19 + 17 = 63\\[/tex]; if x = # people at the beginning

[tex]x - 19 + 17 = 63\\x - 2 = 63\\x = 65[/tex]

There were 65 people on the train to begin with.

Answer:

65 people

Step-by-step explanation:

Well, we need to work backward,

63 on the train and 17 got on so we do 63 - 17 = 46

Then 19 got off so 46 + 19 = 65

Hence, 65 people were on the train on the first stop.

Which of the following functions represent exponential growth? f(x)=.0001(1.77)^x f(x)=2(1.5)^x/2 f(x)=5(0.5)^-x f(t)=5e^-t

Answers

Answer:

Hello There. ☆~\《`°---_●£●__---`°》\~☆

An exponential growth function is represented by

f(x)=a(b)^{x},a>0,b>1.

The given functions can be written as,

A)f(x)=.001(1.77)^x,0.001>0,1.77>1

B)f(x)=2(1.5)^{x/2}=2(\sqrt{1.5} )^x,2>0,\sqrt{1.5} >1

C)f(x)=5(0.5)^{-x}=5(2)^x,5>0,2>1

D) f(t)=5e^{-t}=5(\frac{1}{e} )^x,5>0,1/e.

So the function f(t)=5e^{-t}=5(\frac{1}{e} )^x,5>0,1/e violates the conditions for an exponential growth function. It is an exponential decay function.

The correct choices are (A), (B), (C).

Hope It Helps!~ ♡

ItsNobody~ ☆

The functions that represent exponential growth are choices (A), (B), and (C). The correct option is A, B, and C.

What is exponential growth?

Exponential growth is the process of gradual increase of quantity over time.

An exponential growth function is represented by

[tex]\rm f(x)=a(b)^{x}[/tex],  a>0,b>1

The given functions can be written as,

A)[tex]f(x) = .001(1.77)^x[/tex], 0.001>0,1.77>1

B) [tex]f(x) = 2(1.5)^{x/2} = 2(\sqrt{1.5} )^x,[/tex]   2>0,  [tex]\sqrt{1.5}[/tex] >1

C)[tex]f(x) = 5(0.5)^{-x}=5(2)^x[/tex],    5>0, 2>1

D) [tex]f(t) = 5e^{-t}=5(\frac{1}{e} )^x[/tex],        5>0,  1/e.

So, the function [tex]f(t)=5e^{-t}=5(\frac{1}{e} )^x,5 > 0,1/e[/tex] violates the conditions for an exponential growth function. It is an exponential decay function.

The correct choices are (A), (B), and (C).

Learn more about exponential growth;

https://brainly.com/question/11487261

The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence 2, -6, 18, -54, ...? an = 2 · 3n - 1 an = 2 · (-3)n - 1 an = 3 · 2n - 1 an = -3 · 2n - 1

Answers

Answer:

The second choice

Step-by-step explanation:

So first we would plug in the first term which is 2 so we would get [tex]an=2[/tex] times [tex]rn-1[/tex] so next we would see that the common ration is -3 since every time the number is being multiplied by -3. so then our equation would be [tex]an= 2[/tex] times [tex]-3n-1[/tex]. Now we would just find the choice that matches and it would be the second choice.

Answer:

option 2

Step-by-step explanation:

First term [tex]a_{1} = 2\\[/tex]

common ratio = r = second term ÷ first term

                            = -6 ÷2 = -4

Plug in the values of  [tex]a_{1}[/tex] & r in the formula

[tex]a_{n} = a_{1}*r^{n-1}\\\\\\a_{n}=2 * (-3)^{n-1}[/tex]

hi there plz help me

Answers

Answer:

for every 3 tomato plants there will be 1 squash plants

Step-by-step explanation:

9 divided by 3 = 3. That will find the tomatoes

then you have to divide all the other plants by 3. Squash will be the only one with 1 plant per 3 tomato plants.

The answer is B

Answer:

B. Squash

Step-by-step explanation:

There are 9 tomato plants and there are 3 squash plants.

9 ÷ 3 = 3

3 tomato plants = 1 squash plants

3 × 3 = 1 × 3

9 = 3

9 tomato plants = 3 squash plants

Solve for x: 4x - 2 > 6x + 8. (5 points)
x<-5
x>5
x<5
x>-5

Answers

Answer:

x<-5 is the correct answer

Answer:

x<-5 is the answer

Step-by-step explanation:

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The government is engaging in contractionary fiscal policy. E. Crowding-out will occur as individuals choose to rely on free movies instead of purchasing their own. 2^2(3-8)5-1 please help Choose the incorrect statement A. Replacing 3 of the H of LiALH4 with OR groups make it a more reactive reducing agents than NaBH4. B. Ester functional group has a higher priority than aldehyde in nomenclature. C. Ketones are more reactive than esters. D. Aldehydes are less reactive than acyl halides. E. Reactions of aldehydes with (1) NaBH4 and (2) H3O+ form primary alcohols. Adam and three friends go on holiday together for a week.The costs of the holiday will be shared equally between the 4 friends.These are: 1460 for 4 return plane tickets 720 for the accommodation 180 for the car hire for a weekHow much does Adam have to pay for his share of the costs? find the coordinates of the point satisfying lying on x axis at a distance of 5 units to the right of x axis lying on y axis at a distance of 3 units below the orgin Read the stanza from "Night." O night, you take the petals of the roses in your hand, but leave the stark core of the rose to perish on the branch. What does the word stark mean in this stanza? strong simple bare soft In square units, what is the area of the sector that is not shaded? What have you learned about creating plan and setting goal? Psymon Company, Inc. sells construction equipment. The annual fiscal period ends on December 31. The following adjusted trial balance was created from the general ledger accounts on December 31:________. Account Titles Debits Credits Cash $ 45,190 Accounts Receivable 19,200 Inventory 69,500 Property and Equipment 53,000 Accumulated Depreciation $ 22,300 Liabilities 32,100 Common Stock 96,000 Retained Earnings, January 1 12,200 Sales Revenue 195,500 Sales Returns and Allowances 7,300 Sales Discounts 8,600 Cost of Goods Sold 105,200 Salaries and Wages Expense 18,200 Office Expense 19,200 Interest Expenses 2,300 Income Tax Expense 10,410 Totals $ 358,100 $ 358,100Prepare a multistep income statement that would be used for internal reporting purposes. Treat Sales Discounts and Sales Returns and Allowances as contra-revenue accounts. TIP: Some of the accounts listed will appear on the balance sheet rather than the income statement. Prepare a multistep income statement that would be used for external reporting purposes, beginning with the amount for Net Sales. Compute the gross profit percentage. Please answer it now in two minutes When the owners of some wells in Pallerla started using high-powered motors todraw water from the wells, the owners of other wells noticed that their wells weredrying up. Discuss the possible solution to the problem solutions to the problem . Which two sentences contribute to a sense of hope in this excerpt from "The Story of an Hour" by Kate Chopin?She wept at once, with sudden, wild abandonment, in her sister's arms. When the storm of grief had spent itself she went away to her room alone. She would have no one follow her.There stood, facing the open window, a comfortable, roomy armchair. Into this she sank, pressed down by a physical exhaustion that haunted her body and seemed to reach into her soul.She could see in the open square before her house the tops of trees that were all aquiver with the new spring life. The delicious breath of rain was in the air. In the street below a peddler was crying his wares. The notes of a distant song which someone was singing reached her faintly, and countless sparrows were twittering in the eaves.There were patches of blue sky showing here and there through the clouds that had met and piled one above the other in the west facing her window.She sat with her head thrown back upon the cushion of the chair, quite motionless, except when a sob came up into her throat and shook her, as a child who has cried itself to sleep continues to sob in its dreams.