Let F(x) be the expression "x has fleas," and the domain of discourse is dogs. The statement is "All dogs have fleas." Which option below is the most accurate. O a. The expression is Vx F(x), its negation is 3x-F(x), and the sentence is "There is a dog that does not have fleas." b. The expression is Ex F(x), its negation is Vx-FX), and the sentence is "There is a dog that has fleas." O c. The expression is 4x F(x), its negation is Wx-F(x), and the sentence is "There is no dog that does not have fleas." O d. The expression is - x F(x), its negation is axF(x), and the sentence is "There is a dog that does not have fleas."

Answers

Answer 1

Okay, let's break this down step-by-step:

The original statement is: "All dogs have fleas."

This suggests the expression should represent "all" or "every" dogs having fleas.

So the correct options are:

a) The expression is Vx F(x), its negation is 3x-F(x), and the sentence is "There is a dog that does not have fleas."

c) The expression is 4x F(x), its negation is Wx-F(x), and the sentence is "There is no dog that does not have fleas."

Between these two, option c is more accurate:

c) The expression is 4x F(x), its negation is Wx-F(x), and the sentence is "There is no dog that does not have fleas."

4x means "every x", representing all dogs.

And Wx-F(x) is the negation, meaning "it is not the case that every x lacks F(x)", or "not every dog lacks fleas".

Which captures the meaning of "There is no dog that does not have fleas."

So the most accurate option is c.

Let me know if this helps explain the reasoning! I can provide more details if needed.

Answer 2

The most accurate option is b. The expression "All dogs have fleas" can be translated into the quantified expression Ex F(x), which means there exists at least one dog x that has fleas.

The negation of this statement would be Vx -F(x), which means there exists at least one dog x that does not have fleas. This statement can be translated into the sentence "There is a dog that has no fleas."

Option a is incorrect because Vx F(x) would mean "There exists a dog that has fleas" and its negation would be 3x -F(x), which would mean "It is not the case that all dogs have fleas." Option c is also incorrect because 4x F(x) means "No dog has fleas," which is the opposite of the given statement. The negation of this statement would be Wx -F(x), which means "There exists no dog that does not have fleas." Option d is incorrect because -x F(x) means "No dog has fleas," which again is the opposite of the given statement. Its negation would be ax F(x), which would mean "All dogs have fleas," which is not the correct negation.Thus, the most accurate option is b. The expression "All dogs have fleas" can be translated into the quantified expression Ex F(x), which means there exists at least one dog x that has fleas.

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Related Questions

What is the measure of arc QR?

Answers

Answer:

answer is the third choice : 104

Step-by-step explanation:

Inscribed Angle Theorem

If an angle is inscribed in a circle, then the measure of the angle equals one half the measure of its intercepted arc.

so the intercepted arc is TWICE the measure of an angle inscribed in a circle

1. A central angle is an angle with endpoints located on a circle's circumference and vertex located at the circle's center. A central angle in a circle determines an arc.

2. An inscribed angle is an angle formed by three points on the circle's circumference.

Angle at the Center Theorem: An inscribed angle is half of the central angle (if they determine the same arc).

In your case angles:

1. ∠QSR is insribed (determines the arc QR);

2. ∠QTR is central (determines the arc QR).

Then by Angle at the Center Theorem, m∠QTR=2m∠QSR=2·52°=104°. Arc QR has the same measure as central angle QSR.

gathmath

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Brass is made up of copper and zinc. 100 grams of brass contains 20 grams of zinc.
A) Workout the weight of zinc in 60 grams of brass.
Brass contains 4 parts by weight of copper to 1 part by weight of zinc.
B) Work out the weight of copper in 350 grams of brass.

Answers

Answer:

A.  12 grams Zn

B.  280 g of copper.

Step-by-step explanation:

100 grams of brass

20 grams of zinc

100 grams of brass has 20 grams of Zn.

20/100 = 0.200  Zn   20% Zn  and 80% copper.

A.  (60 g brass)*(0.2) = 12 grams Zn

B.  (350 g brass)*(0.80) = 280 g of copper.

What is the area of a square with a perimeter of 44 mm?

Answers

Answer:

The area of the square is 121mm

Step-by-step explanation:

To solve this we need two basic formulas:

P = 4s

A = [tex]s^{2}[/tex]

P = perimeter

s = the length of the side

Since the shape is a square all the sides are the same length. To get the value of 's' we need to isolate:

P = 4s

44 = 4s

44 / 4 = 4s / 4

11 = s

Now plug in the answer for 's' to get the area:

A = [tex]s^{2}[/tex]

A = [tex]11^{2}[/tex]

A = 121

Hope this helps.

Suppose the variable x is represented by a standard normal distribution. What value of x is at the 40th percentile of the distribution

Answers

The value value of x is at the 40th percentile of the distribution is 0.65.

The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation

Given:- μ[tex]_X[/tex]=0,σ[tex]_X[/tex]=1

We can standardize the random variable: Z=(X−μx)/σx,

Then the equation is P(X≤ x )=Φ(x−μx/σx)=Φ(x−0/1)=0.4

Inverse function

Ф[tex]\\^{-1}[/tex](0.4) = [tex]\frac{x-0}{1}[/tex]

From the table we get,

Ф[tex]^{-1}[/tex] = 0.65

Thus

[tex]\frac{x-40}{10}[/tex] = 0.65

x -0 = 0.65

x = 6.5

Thus the value value of x is at the 40th percentile of the distribution is 0.65

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Which algebraic expression has a term with a coefficient of 9?
• A. 6 + X- 9
• B. 6x - 9
C. 6(x + 5)
• D. 9x ÷ 6

Answers

[tex]\textbf{ Heya !}[/tex]

Your Answer Is:-

[tex]\sf{9x\div6}[/tex]

because,

               it has a coefficient of 9 (a number that comes before a variable)

`hope that was helpful to u ~

The Awnser is b I believe

4x-6y=-20
-2x+4y=6
8th grade pre algebra

Answers

The values of x and y that are solutions to the simultaneous equations are; x = -11 and y = -4

How to Solve Simultaneous Equations?

We are given the simultaneous equations;

4x - 6y = -20   -----(eq 1)

-2x + 4y = 6     -----(eq 2)

Multiply equation 2 by 2 and eq 1 by 1 to get;

-4x + 8y = 12     -----(eq 3)

Add eq 3 to eq 1 to get;

2y = -8

y = -4

Thus;

4x - 6(-4) = -20

4x + 24 = - 20

4x = -20 - 24

4x = -44

x = -44/4

x = -11

Thus, the values of x and y that are solutions to the simultaneous equations are; x = -11 and y = -4

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You and a friend are playing a game of chance. Every time you roll a 1 or 2 you are successful, and your friend will pay you $1. Every time you roll (using a fair die) a 3, 4, 5 or 6, you must pay your friend $2. If 71% of your rolls are successful and 29% of your rolls are unsuccessful, how much money do you expect to have earned/owed by the end of the game

Answers

Considering the mean of a discrete distribution, you are expected to earn $0.13 by the end of the game.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Since 71% of your rolls are successful and 29% of your rolls are unsuccessful, the distribution of your earnings is:

P(X = 1) = 0.71.P(X = -2) = 0.29

Hence the expected value is:

E(X) = 1 x 0.71 - 2 x 0.29 = 0.71 - 0.58 = 0.13

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The length of a rectangle is 3 less than twice the width. Determine how the area will change if the length of the rectangle is increased by 5 and the width is decreased by 2. Show your work.

Answers

The change in the area is represented by the expression ΔA = 9 · x + 4, where x is the original width of the rectangle.

What is the change in the area of the rectangle if side lengths are changed?

By geometry we know that the area of a rectangle is equal to the product of its width (x) and length (y). Based on the statement, the original rectangle is equal to:

A = x · y

A = x · (2 · x - 3)

And the change in the area is:

A + ΔA = (x + Δx) · (y + Δy)

A + ΔA = x · y + Δx · y + Δy · x + Δx · Δy

ΔA = Δx · y + Δy · x + Δx · Δy

ΔA = (2 · x - 3) · Δx + Δy · x + Δx · Δy

ΔA = 2 · (2 · x - 3) + 5 · x + 10

ΔA = 9 · x + 4

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PLEASE HELP IM REALLY STUCK

Answers

Answer:

[tex]a_{18}=-70[/tex]

Step-by-step explanation:

[tex]a_n=a_1+(n-1)d[/tex]

[tex]a_1=2, d = -4[/tex]

[tex]a_{18}=-2+(18-1)*(-4)=-2-68=-70[/tex]

It cost Cai $1,80 to send 12 text messages, How much would it cost to send 90 text
messages?

Answers

Answer:

$13.5

Step-by-step explanation:

cost of 1 text message= $1.80÷12 =$0.15

cost of 90 messages = $0.15×90 = $13.5

Answer: $13.50 for 90 text messages

Step-by-step explanation:

$0.15×90 = $13.5

$0.15 is the unit rate for 1 text message cost.

Need help with explanation on solving this problem.

Answers

Answer:

x=27.80

Step-by-step explanation:

we know that cosA=base/hypotaneous

so,

[tex]cos44 = \frac{20}{x} \\ x = \frac{20}{cos(44)} \\ = \frac{20}{0.7193...} \\ = 27.80 [/tex]

Can you plssss help !!!

Answers

The parts of the circle shown in the image include, chord, diameter, radius, tangent and center point.

Parts of the circle shown in the image

The following are the parts of the circle shown;

Chord: the length DC and DG represent the chord of the circleDiameter: the length HF represent the diameter of the circleRadius: the length HA and FA represents the radius of the circletangent: the line JB represents a tangent to the circleCenter: point A represents the center of the circle

Thus, the parts of the circle shown in the image include, chord, diameter, radius, tangent and center point.

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Here is a rail way timetable
What time does the first train get to oakengats?

Answers

The time that the first train would get to Oakengats is 08:15.

How to find the time of arrival

The time of arrival of the first train can be gotten from the table.

The first entry has a blank space. This would have been the time of arrival for the train.

After the blank space, the next time is when the fits train got to this destination. That is at 08:15

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The reciprocals of what three different positive integers have sum equal to 1?

Answers

Answer:

1/a + 1/b + 1/c = 1 , a,b,c is nonzero

Step-by-step explanation:

bc +ac +ab /abc = 1

bc + ac + ab = abc

a = b = c = 1

A has the coordinates (-4, 3) and B has the
coordinates (4, 4). If Do,1/2(x, y) is a dilation of AABC,
what is true about the image AA'B'C'? Check all that
apply.

Answers

If [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex] exists a dilation of △ ABC, the facts regarding the image

△A'B'C' exist AB exists parallel to A'B'.

What is a coordinate plane?

Any point in the coordinate plane exists directed by a point (x, y), where the x value exists the position of the point with respect to the x-axis, and the y value exists the position of the point with respect to the y-axis.

A dilation exists a transformation [tex]$D_{o,k} \frac{1}{2} (x, y)[/tex], with center O and a scale factor of k that exists not zero, that maps O to itself and any other point P to P'. The center O exists as a fixed point, P' exists as the image of P, and points O, P, and P' exist on the exact line.

In a dilation of [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex], the scale factor, 1/2 exists mapping the original figure to the image in such a manner that the distances from O to the vertices of the image exist half the distances from O to the original figure.

Also, the size of the image exists half the size of the original figure.

If [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex] exists a dilation of △ ABC, the facts regarding the image △A'B'C' exist AB is parallel to A'B'.

[tex]$D_{o,k} \frac{1}{2} (x, y) = (\frac{1}{2} x, \frac{1}{2}y)[/tex]

The distance from A' to the origin exists half the distance from A to the origin.

Therefore, the correct answer is option A). △ A'B'C' exist AB is parallel to A'B'.

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True or false, if a domain is restricted to x > 1, then there will be an open circle at x = 1.

Answers

Answer:

Step-by-step explanation:

true

Mary performs this calculation. (3.0) (2.0). how many significant figures should her answer have? one two four six

Answers

Answer:

2

Step-by-step explanation:

There are only 2 numbers in the final answer (6.0), so you just need 2 significant figures.

Which describes Which is a perfect square?
72
81
90
99

Answers

Answer:

81

Step-by-step explanation:

A perfect square is multiplying a number with the same number in question. 81 is a perfect square because either 9 or -9 will go into it perfectly, like a square's length and height.

[tex]9^{2} = 81[/tex]

Answer: 81

Step-by-step explanation:

81 can be perfectly square rooted into 9. [tex]\sqrt{81}=9[/tex]

Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=(11-2x)(17-2x).
There are 4 questions in the bottom! Please solve and explain them for me!
Thank youuu

Answers

See below for the solution to each question

The reasonable domain of V(x)

From the graph, we can see that:

V(x) have a positive value from x > 0 to x < 5.5

When x = 0 and ≥ 5.5, the values of V(x) are either 0 or negative

Hence, the reasonable domain of V(x) is 0 < x < 5.5

The value of x that gives the maximum volume

From the graph, the maximum value of V(x) is at

V(2) = 182

Hence, the approximate value of x that gives the maximum volume is 2

The values of x where the volume increases

This is the interval where V(x) increase as x increase

From the graph, V(x) increase from x > 0 to x = 2

Hence, the approximate values of x where the volume increases are 0 < x ≤ 2

The interpretation of the point of intersection

The other function is

B(x) = 140

So, the point of intersection represent where the volume is 140

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Help pls

Use the data from the table to create a scatter plot. Plot all the data points from the table.



Variable A 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8
Variable B 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4

Answers

The attached graph represents the scatter plot of the table of values

How to create the scatter plot?

The table of values is given as:

Variable A 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8

Variable B 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4

Rewrite the table as:

x 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8

y 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4

Next, we plot the values on a graph

See attachment for the scatter plot

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Segment ab falls on line 6x 3y = 9. segment cd falls on line 4x 2y = 8. what is true about segments ab and cd? they are parallel because they have the same slope of −2. they are perpendicular because they have slopes that are opposite reciprocals of −2 and one half. they are parallel because they have the same slope of 2. they are perpendicular because they have opposite reciprocal slopes 2 and negative one half.

Answers

They are parallel because they have the same slope of 2.

How to determine the true statements about the segments?

The segments are given as;

AB => 6x - 3y = 9

CD => 4x - 2y = 8

We start by making y the subject of both equations

AB => 6x - 3y = 9

-3y = -6x + 9

Divide through by -3

y = 2x - 3

CD => 4x - 2y = 8

-2y = -4x + 8

Divide through by -2

y = 2x - 2

A linear equation is represented as:

y = mx + b

Where m represents the slope of the line.

By comparing the three equations, we have:

m1 = 2

m2 = 2

Parallel lines have equal slopes.

This means that the lines AB and CD are parallel lines

Hence, they are parallel because they have the same slope of 2.

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Answer: They are parallel because they have the same slope of 2.

Step-by-step explanation:vvvvvvvvvvvvvvvvvvvvv

someone please help me with question #14 !!!

Answers

Answer: a, c, e

Step-by-step explanation:

a) True. If x=0, f(0)=c.

b) False. Considering the quadratic formula, we know the solutions are not always x=c.

c) True. This is a standard fact.

d) False. If the discriminant is not positive, there are less than two x-intercepts.

e) True. If you plug into the formula [tex]x=-\frac{b}{2a}[/tex], if b=0, then obviously the x-coordinate of the vertex is also 0.

A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. what is the probability that the lock code consists of all even digits?

Answers

Probability that the lock code consists of all even digits is [tex]1344[/tex] if we choose the [tex]4[/tex] digit lock is randomly from numbers [tex]1,2,3,4,5,6,7,8,9[/tex]

How can we find the probability that the lock code consists of all even digits?

Total numbers are [tex]1,2,3,4,5,6,7,8,9[/tex]

And we choose [tex]4[/tex] digit code

So probability of choosing [tex]4[/tex] numbers from [tex]9[/tex] numbers without reapitation is

[tex]9p_{4} =\frac{9!}{(9-4)!} \\=\frac{9*8*7*6*5!}{5!} \\=3024[/tex]

For All numbers are even , probability the last digit of number is even.

So we have [tex]4[/tex]  even number and if we fix one on last digit and can change other [tex]3[/tex] then the probability is

[tex]4*8P_{3} =4*\frac{8!}{(8-3)!} \\=4*\frac{8*7*6*5!}{5!} \\=1344[/tex]

So the total probability of code lock having all even number is [tex]1344[/tex]

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A construction company buys a certain number of boxes of nails depending on how many houses they plan to build in a year. They have 5 boxes left over from the previous year and predict that this year they will need 3 boxes per house. Write an equation where y represents the number of boxes they need to purchase and x the number of houses they plan to build.

Answers

Answer:

Step-by-step explanation:

43

I dont exactly know if this is correct sorry if its wrong

If sin (90° - α) = BC /CA,write down the ratio of sina.​

Answers

Answer:

Step-by-step explanation:

sin(90-a)=cos

cos = angle adjacent

theta=BC/CA

In apirl is rained 1/4 of a inch on 15 diffret day how many inches of rain fell

Answers

In [tex]15[/tex] diffret days [tex]15/4[/tex] inches of rain fell in April month if every day rained [tex]1/4[/tex] of a inch .

How to find the rain fell in [tex]15[/tex] diffret days ?

We know that rain in every day is [tex]1/4[/tex] of a inch

So for [tex]15[/tex] days

[tex]1/4+1/4+1/4+......15times\\=15/4[/tex]

So in [tex]15[/tex] diffret days in April rain fell is [tex]15/4[/tex] inches.

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Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its mean number of unoccupied seats per flight over the past year. To accomplish this, the records of 225 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 11.6 seats and the sample standard deviation is 4.1 seats. Assume the underlying population of unoccupied seats is normally distributed. Using a t- statistic, construct a 95% confidence interval for the population mean number of unoccupied seats per flight.

Answers

The given sample's 95% confidence interval is 11.6 ± 0.5357. I.e., from the lower bound 11.06 to the upper bound 12.14. Its margin error is 0.5357.

How to find the confidence interval?

To find the confidence interval C.I,

Determine the mean(μ) of the sampleDetermine the standard deviation(σ)Determine the z-score for the given confidence level using the z-score tableUsing all these, the confidence interval is calculated by the formula,  C. I = μ ± z(σ/√n) where n is the sample size and z(σ/√n) gives the margin error. So, we can also write C. I = mean ± margin error.

Calculation:

It is given that,

Sample size n = 225

Sample mean μ = 11.6

Standard deviation σ = 4.1

Since 95% confidence interval, z-score is 1.96

So, the required confidence interval is calculated by,

C. I = μ ± z(σ/√n) or mean ± margin error

On substituting,

C. I = 11.6 ± 1.96(4.1/√225)

     = 11.6 ± 1.96 × 0.2733

     = 11.6 ± 0.5357

So, the lower bound = 11.6 - 0.5357 = 11.065 and

the upper bound = 11.6 + 0.5357 = 12.135.

Thus, the confidence interval is from 11.06 to 12.14, and its margin error is 0.0537 for the population mean number of unoccupied seats per flight.

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Lowest common multiple of 12,18,56

Answers

Step-by-step explanation:

12 = 2 × 2 × 3

18 = 2 × 3 × 3

56 = 2 ×2 × 2 × 7

Now

Common factor = 2

Remaining factor = 2 × 3 × 2 × 3 × 7

LCM = RF × CF

= 504

hence the lCM of 12 , 18 and 56 is 504...

[tex]...[/tex]

504 IS THE ANSWER .. . . . . . . . . . . ††††††††††††††††††††††††††††††††††††††††††††††

HELP FAST‼️‼️
Jessenia usually earns $25 each week.
Last week, she received an extra $20 in
bonus. What percent of her usual weekly
income was her total income last week?

Answers

Normal income: 25 $

Last week's income: 25 + 20: 45 $

% = Last week's/normal = 45/25 ×100 =180 %

The 3 stages representing the hierarchy of fluency progression including Automaticity, are embedded into which strand of the B.E.S.T. mathematics standards

Answers

The three stages that have to do with fluency, progression and automaticity are found in the Number Sense and Operations .

What is the number sense and operation strand of mathematics?

This is the part of mathematics that is known to teach the student basic ways to carry out number operations in mathematics. This has to do with representation of numbers as well as solving for the existing relationships in these numbers.

Having a sense of numbers is a very important ability skill that has to be developed early is students to enable them progress in the subject.

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2hbr(g)h2(g) br2(l) using standard absolute entropies at 298k, calculate the entropy change for the system when 1.83 moles of hbr(g) react at standard conditions. ssystem = j/k An alpha particle ( 4He ) undergoes an elastic collision with a stationary uranium nucleus (235U). What percent of the kinetic An alpha particle ( 4He ) undergoes an elastic collision with a stationary uranium nucleus (235U). What percent of the kinetic energy of the alpha particle is transferred to the uranium nucleus? Assume the collision is onedimensional. how we can validate the findings of the project (i.e, excel file)? - Interviewing risk managers of projects with similar nature (yes/no)- Risk log of projects with exactly similar nature (yes/no)- Interviewing the sub- contractors of the project (yes/no)- Interviewing the project stakeholders (yes/no) What happens if tryptophan levels are high? Compute the 2-dimensional curl then evaluate both integrals in green's theorem on r the region bound by y = sinx and y = 0 with 0 Jocelyn is planning to place a fence around the triangular flower bed shown. The fence costs $1. 50 per foot. If Jocelyn spends between $60 and $75 for the fence, what is the shortest possible length for a side of the flower bed? Use a compound inequality to explain your answer. A ft aft (a + 4) ft an otto cycle with air as the working fluid has a compression ratio of 7.9. under cold air standard conditions, what is the thermal efficiency of this cycle expressed as a percent? class Student: def __init__(self,id,age): self.id=id self.age=age std=Student(1,20) A. "std" is the reference variable for object Student(1,20) B. the diameter of cone a is 6 cm with a height of 13 cm the radius of cone b is 2 cm with a height of 10 cm which cone will hold more water about how more will it hold Select the components that comprise the first line defense mechanisms. Check all that apply. a.Physical barriers b.Complement c.Chemical defenses such as lysozyme and HCI d.Inflammation e.Resident microbiota f.Body functions such as sneezing, urinating, coug The intrinsic rate of natural increase is a measure of the:A. inherent potential of a population to growB. inherent potential of a population to declineC. carrying capacity of the environmentD. None of these Part 1:Some agencies in the ____are turning to unconventional methods of communication.A) United StatesB) United NationC) United KIndomD) United Arab Emirates let p be a prime. prove that 13 is a quadratic residue modulo p if and only if p = 2, p = 13, or p is congruent to 1, 3, 4, 9, 10, or 12 modulo 13. what social class constituted primarily the audience of the parisian salons? how many grams of cuso4 5h2o are needed to prepare 20 ml solution of concentration 0.5m? Find the position vector of a particle that has the given acceleration a(t) = ti+et j+e-t k and the specified initial velocity v(0) = k and position r(0) = 1+ k. (5 point A 20.00-V battery is used to supply current to a 10-k resistor. Assume the voltage drop across any wiresused for connections is negligible. (a) What is the current through the resistor? (b) What is the power dissipated by the resistor? (c) What is the power input from the battery, assuming all the electrical power is dissipated by the resistor? (d) What happens to the energy dissipated by the resistor? An AC voltage of fixed amplitude is applied across a series RLC circuit. The component values are such that the current at half the resonant frequency is half the current at resonance. Show that the current at twice the resonant frequency is also half the current at resonance. there is good reason for every class to provide an output function. the most common form for this is A person with a mass of 84 kg and a volume of 0.096m3 floats quietly in water. If an upward force F is applied to the person by a friend, the volume of the person above water increases by 0.0022 m3. Find the force F.