For the following argument, construct a proof of the conclusion from the given premises. (x) ((Fx V Gx) > Hx), (3x)Fx /. (3x) (FX Hx)

Answers

Answer 1

To prove the conclusion (3x) (FX Hx) from the premises (x) ((Fx V Gx) > Hx) and (3x)Fx, we can use universal instantiation and universal generalization, along with the law of excluded middle.

(3x)Fx (Premise)Fx (Universal instantiation, 1)(Fx V Gx) > Hx (Universal instantiation, x)(Fx V Gx) (Disjunction introduction, 2)Hx (Modus ponens, 4, 3)FX (Existential generalization, 5)(3x)(FX Hx) (Universal generalization, 6)

By instantiating the existential quantifier in premise 1, we obtain Fx. From premise x, we can deduce that (Fx V Gx) implies Hx. By applying modus ponens to statements 4 and 3, we derive Hx.

Using existential generalization, we can introduce the existential quantifier to conclude that there exists an x such that FX and Hx hold.

Therefore, we have successfully proven the conclusion (3x) (FX Hx) from the given premises.

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Related Questions


In 2019, selected automobiles had an average cost of $14,000.
The average cost of those same automobiles is now $17,360. What was
the rate of increase for these automobiles between the two time
period

Answers

The rate of increase for the selected automobiles between 2019 and the present time is 24%. The average cost of the selected automobiles increased from $14,000 in 2019 to $17,360 at present.

To calculate the rate of increase, we can use the formula: rate of increase = (new value - old value) / old value * 100%. Substituting the values into the formula, we get (17,360 - 14,000) / 14,000 * 100% = 3,360 / 14,000 * 100% = 0.24 * 100% = 24%. Therefore, the rate of increase for these automobiles over the given time period is 24%.

In summary, the selected automobiles experienced a rate of increase of 24% between 2019 and the present time. This means that, on average, the cost of these automobiles increased by 24% over the specified period.

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Which equation represents a circle with a center at -3, -5) and a radius of 6 units?
O (x - 3)2 + (-5)2 = 6
0 (x - 3)2 + (-5)2 = 36
O (x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
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Answers

Answer:

(x+3)²+(y+5)² = 36

Step-by-step explanation:

The general equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given

Centre (-3, -5)

a = -3 and b = -5

radius r = 6units

Substitute

(x-a)²+(y-b)² = r²

(x-(-3))²+(y-(-5))² = 6²

(x+3)²+(y+5)² = 36

hence the required equation is (x+3)²+(y+5)² = 36

The equation of a circle that represents a circle with a center at (-3, -5) and a radius of 6 unit is (x + 3)² + (y + 5)² = 36

Equation of a circle

The general equation of a circle is expressed as follows:

(x-a)²+(y-b)² = r²

where

r = radius of the circlea and b are the centre of the circle

Therefore,

a = -3

b = -5

r = 6

Hence,

(x - (-3))² + (y - (-5))² = 6²

(x + 3)² + (y + 5)² = 36

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Lavonne estimated 38% of 63 by rounding 38% up to 40%, rounding 63 up to 70, and then multiplying 70 by 0.4 to get 28. Is her estimate reasonable?
a. Yes, her estimate is reasonable.
b. No, her estimate is too high.
c. No, her estimate is too low.
d. It is impossible to determine without more information.

Answers

No, her estimate is too high.

Given,

Lavonne estimated 38% of 63 by rounding 38% up to 40%, rounding 63 up to 70, and then multiplying 70 by 0.4 to get 28 .

Now

Firstly calculate the actual answer:

38% of 63

= 38/100 * 63

= 23.94

Now

The approximated portion :

40% of 70

= 0.4 *70

= 28

Hence the answer should be around 24 but after approximation it is coming 28 .

Thus the estimate made by Lavonne is high .

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Determine at which points f(z) = Reſiz) is differentiable by using the limit definition of the derivative

Answers

Main answer: f(z) = Reſiz is differentiable at every point of the complex plane where partial derivative with respect to x exists and the Cauchy-Riemann equations are satisfied.

Supporting answer: Given f(z) = ReſizLet z = x + iy∴ f(z) = Re(x + iy)z = x - iyi.e. x = ½ (z + z¯)and y = -½i(z - z¯)Hence f(z) = ½ (z + z¯ ) Differentiating f(z) partially with respect to x, we get,fx = ∂(x + y)/∂x = 1And differentiating f(z) partially with respect to y, we get,fy = ∂(x + y)/∂y = 1Now, for f(z) to be differentiable, it is necessary thatfx = uxx + ivxxandfy = uyx + ivyxwhere u = Re (f(z)) and v = Im(f(z))i.e. uxx = vyyanduyx = -vxy These equations are known as the Cauchy-Riemann equations. On substituting, we get uxx = vyy∴ 1 = 0which is not true. Hence f(z) is not differentiable when partial derivative with respect to y exists. So f(z) is differentiable at every point of the complex plane where partial derivative with respect to x exists and the Cauchy-Riemann equations are satisfied.

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6) Examples (a) j5 points Give an example of an infinite field such that 4-a -o for alle € F. (b) [5 points) Give an example of an infinite, non-commutative ring R such that for all a we have that 2a=0.

Answers

(a) An example of an infinite field such that 4-a -o for all e F is F_2.

Here, the only elements of the field are 0 and 1, and we have 1 + 1 = 0,

which is equivalent to 4 - 1 - 1 = 2 - 1 - 1 = 0. Therefore, for all a e F_2, 4 - a - a = 0, so F_2 satisfies the given condition.

(b) An example of an infinite, non-commutative ring R such that for all a we have that 2a = 0 is the ring of 2x2 matrices over the field F_2 (as defined in part (a)). If we identify the matrix \begin{pmatrix}a&b\\c&d\end{pmatrix} with the element ad + bc of F_2, then R becomes a ring.

Note that R is not commutative since the product of two matrices is not necessarily equal to the product of their entries, and that 2a = 0 for all matrices \begin{pmatrix}a&b\\c&d\end{pmatrix} in R since \begin{pmatrix}a&b\\c&d\end{pmatrix}\begin{pmatrix}0&1\\0&0\end{pmatrix} = \begin{pmatrix}0&a\\0&c\end{pmatrix} and \begin{pmatrix}a&b\\c&d\end{pmatrix}\begin{pmatrix}0&0\\1&0\end{pmatrix} = \begin{pmatrix}b&0\\d&0\end{pmatrix} have entries that are equal to 0 in F_2. Therefore, R satisfies the given condition.

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what is the absolute value of -l8|

Answers

Answer:

-8 i think

Hope you get it right

Answer:

the absolute value of -l8| is 8

Step-by-step explanation:

Absolute value means the opposite

What is the equation of the following line please help

Answers

Answer:

C

Step-by-step explanation:

5,000 x 683,629,638,953,019.582

Answers

Answer:

3418148194765097900

Step-by-step explanation:

Just multiplied

have a great day!

A circle has a radius of 15 cm. Find the diameter

Answers

Answer:

15 times 2 = 30

diameter = 30

Step-by-step explanation:

convert 53 m = cm

help pls

Answers

5300 cm is the correct answer

A box is filled with 9 yellow cards, 5 red cards, and 6 blue cards. A card is chosen at random from the box. What is the probability that it is a yellow or a blue card? Write your answer as a fraction in simplest form

Answers

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

9 + 5 + 6 = 20 (how many cards there are altogether)

9 yellow + 6 blue = 15 (how many cards are either yellow or blue)

so:

[tex]\frac{15}{20}[/tex]

simplified:

[tex]\frac{3}{4}[/tex]

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

There are 20 total cards ( 9 + 5 + 6). 15 of them are yellow or blue(9 + 6). So, the fraction is [tex]\frac{15}{20}[/tex].  [tex]\frac{15}{20}[/tex] simplifies to [tex]\frac{3}{4}[/tex].

The scatter plot shows the relationship between annual salary and years of experience. What is the range of the cluster shown in the scatter plot?
A) 1 to 15 years of experience
B) 8 to 12 years of experience
C) $10,000 to $90,000 annual salary
D) $40,000 to $60,000 annual salary

Answers

Answer: 8 to 12 years

Step-by-step explanation: A cluster is formed when several data points lie in a small interval. The domain of the cluster is the set of x-coordinates.

The range of the cluster in the scatter plot is between $40,000 and $60,000 when the data points are heavily clustered between the years 8 to 12.

What is scatter plot?

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

Given that, on scatter plot

Years of experience is represented at x-axis

Annual Salary is represented at y-axis

From the scatter plot, it is clear that from the x-axis the data points are tightly clustered between the years 8 to 12. As major portion of the data points lie between 8 to 12 years.

Similarly, from the y-axis the data points are tightly clustered between between $40,000 and $60,000. As major portion of the data points lie between $40,000 and $60,000.

When the certain data points in a scatter plot make distinct groups, these groups are considered as clusters. Those data points normally appear to be converged around a particular value.

Therefore, the range of the cluster in the scatter plot is between $40,000 and $60,000 for the data points between the years 8 to 12.

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Here is my question.

Answers

Answer:

5/8

Step-by-step explanation:

if 1/8 is used for one batch . for five batch=1/8*5=5/8

To find the area, multiply the area of the entire circle by __?

What number goes in the box.

Answers

Answer:

3.142 × 6 = 18.852, thats : 19cm, then multiply 19 by 6 , so 19 would go in the square.

because area of a circle is p × r sq. u multiply one of the 6 by 3.142, you get 19, then multiply that 19 by the other 6. the answer is approximately 113.112.

waht is the answer for this? −35−85+5−25

Answers

-35-85=-120
-120+5=-115
-115-25=-140

PEMDAS

-140

-35-85=-120

-120+5-25

-120+5=-115

=-115-25

-115-25=-140

-140

Which of the following values of the correlation coefficient indicates the weakest relationship between two variables?

Answers

The correlation coefficient indicates the weakest relationship between two variables is 0.03. Therefore, the correct answer is option D.

The correlation coefficient is a measure of the strength of the linear relationship between two variables.

A correlation coefficient of 0.0 indicates no correlation—there is no linear relationship between the two variables.

A value of 0.03 indicates a very weak correlation, the weakest of the given options. Values closer to 1 or -1 indicate a stronger correlation.

Therefore, the correct answer is option D.

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"Your question is incomplete, probably the complete question/missing part is:"

Which of the following values of the correlation coefficient indicates the weakest relationship between two variables?

A) 0.42

B) -0.3

C) -0.87

D) 0.03

ANOTHERRR >: D
THANKS FOR ALL THE PEOPLE HELPINGG < 3

Answers

Answer: it C trust me it right & can you please mark me Brainliest

Step-by-step explanation: Hope this help :D

☁️ Answer ☁️

C, x < 4.

2/x −3< − 1

Multiply both sides of the equation by 2.

x−6< −2 (negative 2)

Add 6 to both sides.

x < (negative 2) −2 + 6

Add −2 and 6 to get 4.

x < 4

Hope it helps.

Have a nice day noona/hyung.

The characteristics of the Liberty Company bond is listed below. How much is the annual interest payment? Coupon rate 10.20% Yield to maturity 10.55% Face value $1,000 Market price $850 $101.75 O $102.00 $105.50 O $120.00

Answers

The Liberty Company bond has the following characteristics:

Coupon rate: 10.20%

Yield to maturity: 10.55%

Face value: $1,000

Market price: $850, $101.75, $102.00, $105.50, or $120.00

The question asks for the annual interest payment.

To calculate the annual interest payment, we need to multiply the coupon rate by the face value of the bond. The coupon rate represents the annual interest rate as a percentage. In this case, the annual interest payment can be calculated as 10.20% of the face value, which is $1,000.

Therefore, the annual interest payment for the BCompany bond is $1,000 * 10.20% = $102.00.

Note: The market price of the bond is provided, but it does not affect the calculation of the annual interest payment. The market price represents the current market value of the bond and may vary depending on various factors such as supply and demand in the market.

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Function B has a greater rate of change and a smaller y-intercept than function A. Which equation could represent function B?

Answers

Answer:

function A : y = 50 + 0.5x ; y = 40 + 0.6x

Step-by-step explanation:

Function is a relationship between values in set x & set y.

In case functional relationship equation is y = c + sx . c is the y intercept ie constant value of y when x = 0, & s is slope rate of change ie = change in y / change in x.

If function A is y = 50 + 0.5x. Intercept (c) = 50 , change rate (slope) = 0.5

If function B is y = 40 + 0.6x. Intercept (c) = 40 ie lesser, change rate (slope) = 0.6 ie greater

Bob a builder has come to you to build a program for his construction business. He needs to determine the square footage of a room in order to buy materials and calculate costs. Bob charges $425 per square metre. The program is going to ask the user to enter the name of a room. It will then ask for the width and length of the room (in meters) to be built. The program will calculate the room area and use this information to generate an approximate cost. Your program will display the room, the total area and the approximate cost to the screen. Using Pseudocode, develop an algorithm for this problem.

Answers

Answer : The below pseudocode will calculate the cost by multiplying the area with 425. The output will be the room name, area of the room, and approximate cost to construct the room in dollars.

Explanation:

Given:Bob charges $425 per square metre.To develop an algorithm to calculate the area of the room and the approximate cost.

Pseudocode:

Step 1: Start                                                                                                       Step 2: Declare variables : room Name of string type,Width of float type,Length of float type,Cost of float type      

Step 3: Display "Enter the name of the room:"                                              Step 4: Read the room Name                                                                          Step 5: Display "Enter the width of the room (in meters):"                             Step 6: Read the Width                                                                                                                                                                                                           Step 7: Display "Enter the length of the room (in meters):"                           Step 8: Read the Length                                                                                   Step 9: Calculate the area of the room as Area = Width * Length                  Step 10: Calculate the cost of the room as Cost = Area * 425                       Step 11: Display "Room Name:", roomName                                                    Step 12: Display "Area of the Room (in square metres):", Area                      Step 13: Display "Approximate Cost of Construction:", Cost                          Step 14: Stop

The program will take the input as the name of the room, width, and length of the room, and then it will calculate the area of the room by multiplying width and length. Then it will calculate the cost by multiplying the area with 425. The output will be the room name, area of the room, and approximate cost to construct the room in dollars.

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1. Find the coordinates of the center and the measure of the radius for a circle whose equation is
(x - 8) + (y + 4) = 12

Answers

Answer:

the center of this circle is (8, -4) and the radius is 2√3.

Step-by-step explanation:

Compare this equation

(x - 8) + (y + 4) = 12      Don't forget to type in the " ^ " symbol to indicate exponentiation.

(x - 8)^2 + (y + 4)^2 = 12

to the standard equation of a circle with center at (h, k) and radius r:

(x - h)^2 + (y - k)^2 = r^2

In this way we learn that h = 8, k = -4 and r^2 = 12 (or r = 2√3).

Then the center of this circle is (8, -4) and the radius is 2√3.

A total of 397 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

We know:
397 total
53 fewer student tickets than adult tickets

Variables: A for adult tickets, S for student tickets

Known Equations:
a + s = 397
a = s + 53

Solving:
2s + 53 = 397 so 2s = 344 so s = 172

s + a = 397
172 + (172 + 53) = 397 so 172 + 225 = 397

Adult tickets sold: 225
Student tickets sold: 172


You Got to Leon and mango house and you decide to eat them, You Eat Mango 328 Times And You eat Leon 338 Times. How many times did you eat my friends leon and mango today? Dana Says That 60 Times And I Say That 666 Times.... Say Your answer Down below

A. 60 Times

B. 11 Times

C. 100 Times

D. 666 Times

PLEASE HOW YOUR WORK!

Answers

Answer:

The answer for the question is 666

Step-by-step explanation:

328+338=666

Answer:

666

Step-by-step explanation:

328+338=666

i ate ur friends 666 times

A population of 60 foxes in a wildfire preserve doubles in size every 12 years. The function y = 60*2^x, where x is the number of 12-year periods, models the population growth. How many foxes will there be after 24 ​years?

Answers

there will be 240 foxes

what is the measure of ∠x?

Answers

Answer:

58

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

90-32=58

Determine whether the points P and Q lie on thegiven surface.
r(u, v) =‹u+v, u2 - v,u + v2›
P(4, 2,6)
Q(5, 1,-11)
P and Q are on thesurface.
P is on the surface, butQ is not.
Q is on the surface, butP is not.
Neither P or Q are onthe surface.

Answers

P(4, 2, 6) is on the given surface, but Q(5, 1, -11) is not. The correct answer is that P is on the surface, but Q is not

To determine whether the points P(4, 2, 6) and Q(5, 1, -11) lie on the given surface, we need to check if their coordinates satisfy the equation r(u, v) = <u + v, u^2 - v, u + v^2>.

For P(4, 2, 6):

Plugging in the coordinates of P into the equation, we have:

r(4, 2) = <4 + 2, 4^2 - 2, 4 + 2^2> = <6, 14, 8>.

The coordinates of P(4, 2, 6) match the coordinates obtained from the equation, so P lies on the surface.

For Q(5, 1, -11):

Plugging in the coordinates of Q into the equation, we have:

r(5, 1) = <5 + 1, 5^2 - 1, 5 + 1^2> = <6, 24, 6>.

The coordinates of Q(5, 1, -11) do not match the coordinates obtained from the equation, so Q does not lie on the surface.

Therefore, the correct answer is that P is on the surface, but Q is not. The given coordinates for P(4, 2, 6) satisfy the equation, while the coordinates for Q(5, 1, -11) do not match the equation, indicating that Q does not lie on the given surface.

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question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.

Answers

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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consider the hypothesis test. h0: p1 − p2 ≤ 0 ha: p1 − p2 > 0 the following results are for independent samples taken from the two populations. sample 1 sample 2 n1 = 200 n2 = 300 p1 = 0.25 p2 = 0.13
(a)
Calculate the test statistic. (Round your answer to two decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =

Answers

The p- value is approxiamately 0.0001.

To calculate the test statistic, we first need to find the standard error of the difference between the two sample proportions. The formula for the standard error is   SE =  √(( p1 ×( 1- p1)/ n1)( p2 ×( 1- p2)/ n2))   Substituting the given values into the formula,

we get   SE =  √((0.25 ×( 1-0.25)/ 200)(0.13 ×( 1-0.13)/ 300)) =0.0326. The test statistic is  also calculated as the difference between the sample proportions divided by the standard error.

Test Statistic = ( p1- p2)/ SE   = (0.25-0.13)/0.0326 =3.68.

To find the p- value, we compare the test statistic to the applicable distribution. Since the indispensable  thesis is one-  tagged( p1- p2> 0), we'd use the standard normal distribution. Looking up the test statistic of3.68 in the standard normal distribution table, we find that the corresponding p- value is veritably close to 0.0001.  

This means that if the null  thesis( H0 p1- p2 ≤ 0) is true, there's a  veritably low probability(0.0001) of observing a test statistic as extreme as the one calculated from the sample data. Hence, we've strong  substantiation to reject the null  thesis in favor of the indispensable  thesis( Ha p1- p2> 0).

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There are 20,502 seats in the stadium. If there are 19,624 people in attendance, what percent of the seats are filled?

Answers

Approximately 4.28% of the seats are filled in the stadium when there are 19,624 people in attendance. To determine the percentage of seats filled in the stadium, we need to calculate the ratio of the number of people in attendance to the total number of seats and then convert it to a percentage.

The number of seats filled can be found by subtracting the number of empty seats from the total number of seats. Using the given information:

Number of seats filled = Total number of seats - Number of empty seats

Number of seats filled = 20,502 - 19,624

Number of seats filled = 878

Now, we can calculate the percentage of seats filled by dividing the number of seats filled by the total number of seats and multiplying by 100:

Percentage of seats filled = (Number of seats filled / Total number of seats) * 100

Percentage of seats filled = (878 / 20,502) * 100

Percentage of seats filled ≈ 4.28%

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What is the area of the base?

Answers

30 i think that should be it
Hope that helped
31 i think i don’t know if that’s right
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