15 points



7. You did not get enough sleep on Tuesday night.Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the following true statements.

If you have an income, then you must pay taxes.
If you have a job, then you have an income.

You work as a cashier in a convenience store.


You work as a cashier.


You have a job.


You must pay taxes.


You have an income.

Answers

Answer 1

Since you work as a cashier you must have a source of income, so you must pay taxes, because when you have an income you MUST pay taxes

Answer 2

Answer:

1)

Law of Detachment

If you have an income, then you must pay taxes.

You have an income.

You must pay taxes.

Law of Syllogism

If you have an income, then you must pay taxes.

If you must pay taxes, then you have a job.

If you have an income, then you have a job

2)

Law of Detachment

If you work as a cashier in a convenience store then you have a job.

You work as a cashier in a convenience store.

You have a job.

Law of Syllogism

If you work as as a cashier in a convenience store then you have a job  

If you have a job then you must pay taxes

If you work as as a cashier in a convenience store then you must pay taxes

Step-by-step explanation:

To answer it properly we need to remind those Laws in Mathematical Logic.

The Law of Detachment says that if a Logical Implication and the second Statement is true, we can derive a true conclusion

1. If p→q (True)

2) p (True)

3) q (True)

On the other hand, The Law of Syllogism says:

1) If p→q (True)

2) If q→r (True)

Subsequently, we can conclude by derivation as true this Logical Implication:

3) If p→r (True)

-----

If you have an income, then you must pay taxes.

If you have a job, then you have an income.

Law of Detachment

If you have an income (p), then you must pay taxes. (q)

If you have a job(r), then you have an income.

1)If you have an income, then you must pay taxes. (T) If p→q (True)

2)You have an income (T) p (True)

3) You must pay taxes q (True)

Law of Syllogism

If you have an income (p), then you must pay taxes. (q) If p→q (True)

If you must pay taxes (q), then you have a job. (r) If q→r (True)

If you have an income (p), then you have a job (r) If p→r (True)

--

If you work as a cashier in a convenience store (p) then you have a job (q)

If you must pay taxes (r) then you have an income

Law of Detachment

If you work as a cashier in a convenience store (p) then you have a job (q) If p→q (True)

You work as a cashier in a convenience store (p) p (True)

You have a job (q) q (True)

Law of Syllogism

*If you work as as a cashier in a convenience store(p) then you have a job (q) If p→q (True)

*If you have a job (q) then you must pay taxes (r) If q→r (True)

If you work as as a cashier in a convenience store (p) then you must pay taxes (r) If p→r


Related Questions

The Constitution gives Congress the power to create federal courts
lower than the Supreme Court
higher than the Supreme Court
equal to the Supreme Court,
unaffected by the Supreme Court.

Answers

The federal courts that the Constitution gives the Congress the power to create are federal courts: lower than the Supreme Court.

What are Federal Courts?

Federal courts can be described as lower courts having limited jurisdiction. This implies that they are only authorized to hear cases that arise under the federal statues in the United States.

The Supreme Court is the highest court. District courts are the lowest federal courts.

Therefore, the federal courts that the Constitution gives the Congress the power to create are federal courts: lower than the Supreme Court.

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Final answer:

The U.S. Constitution allows Congress to establish federal courts lower than the Supreme Court, but not higher, equal to, or unaffected by it. The Supreme Court is the highest court in the U.S. judiciary.

Explanation:

The Constitution gives Congress the power to create federal courts that are lower than the Supreme Court. According to Article III, Section 1 of the Constitution, 'The judicial Power of the United States, shall be vested in one supreme Court, and in such inferior Courts as the Congress may from time to time ordain and establish.'

The Constitution does not give Congress the power to create courts that are higher than, equal to, or unaffected by the Supreme Court. The Supreme Court is the highest court in the U.S. judicial system, and all lower courts must follow the legal precedents set by it.

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PLEASE HELP!!!


Select all that apply.


Describe the transformations.




The yellow rectangle was translated up 3 units and reflected over the y-axis.


The yellow rectangle was translated right 5 units and reflected over the x-axis.


The yellow rectangle was reflected over both axes.


The yellow rectangle was translated right 5 units and up 3 units.

Answers

I believe all of these are correct answers. Hope this helps!

What is the average rate of change for this function for the interval from x 3 to x 5?

Answers

Answer:

49

Step-by-step explanation:

The average rate of change is the ratio of the CHANGE IN Y COORDINATE and CHANGE IN X COORDINATE

In this table we are asked to determine the change in rate from x= 3 to x=5

at x =3 , y = 27

at x=5 , y=125

Hence

Change in y = 125-27 = 98

Change in x = 5-3 = 2

Hence Average Rate of Change = 98/2 = 49

Answer = 49

solve for -4x-4=-4(x+2)​

Answers

Answer:

no solutions

Step-by-step explanation:

-4x-4=-4(x+2)​

Distribute the negative

-4x-4 = -4x-8

Add 4x to each side

-4x+4x-4 = -4x+4x-8

-4 = -8

Since this is not true there are no solutions

20 points for this. I just gotta know so I can pass summer school lol

Answers

Answer:  Point, Point, Line

Step-by-step explanation:

A plane and a line intersect at a point .  Think of a piece of paper as a plane and a pen as a line.  What happens when you push the pen through the paper?  It creates a point!

Two lines intersect at a point .

Two planes intersect at a line . Think of a piece of paper laid horizontally on a table and another piece of paper standing on it vertically.  What can you draw at the places of intersection? A line!

Solve x2 – 64 = 0.
1. Isolate x2: x2 = 64
2. Apply the square root property of equality: 7x2 = 1/64
3. Isolate the variable:
0
x =
x=

Answers

Answer:

x = - 8, x = 8

Step-by-step explanation:

Given

x² - 64 = 0 ( add 64 to both sides )

x² = 64 ( take the square root of both sides )

x = ± [tex]\sqrt{64}[/tex] = ± 8

Which statements about these triangles is true

Answers

Answer:

I’m not sure, but I think it’s C

The answer to this question is c

HELP PLEASE I'M CRYING, EASY 2 QUESTIONS

Answers

Answer:

12) 154   squared meters

13) 307  cm^2

Step-by-step explanation:

12) A circle has area pi*r^2

r is half the diameter so half of 14 is 7

pi in this case is 22/7

A=22/7 * (7)^2

A=22/7  * 49

A=22     *49/7

A=22     *7

A=154 squared meters

13)  Area of rectangle is 10(18)=180

      Area of half a circle is .5*pi*r^2=.5*pi*9^2  

       Adding the two areas together would result in a total area of 307.2 squared centimeters

The length of a rectangle is 3 inches less than twice the width. If the perimeter of the rectangle is 18 inches, find the width of the rectangle​

Answers

Answer:

y = 4.  So this is your width.

Step-by-step explanation:

Use the distributive property to do 2(2y-3) = 2*2y-2*3 = 4y-6. So we have

4y-6+2y = 18.  Combine like terms 4y and 2y to get 6y.

6y-6 = 18.  Add 6 to both sides to solve for 6y

6y = 24.   Divide by 6 to solve for y

y = 4.  So this is your width.

length = x

           ________________

          |                            |

     y   |                            |  width = y

          |                            |

          _________________

                       x

The width of the rectangle is determined to be 4 inches.

To find the width of the rectangle, we need to set up equations based on the information given. The length (L) is described as being 3 inches less than twice the width (W), so we can express that as L = 2W - 3. The perimeter (P) of a rectangle is calculated as P = 2L + 2W. We are told the perimeter is 18 inches, so we have 18 = 2(2W - 3) + 2W. Simplifying this equation, we get 18 = 4W - 6 + 2W, which combines to 18 = 6W - 6. Adding 6 to both sides gives us 24 = 6W, and dividing both sides by 6 yields W = 4 inches. Therefore, the width of the rectangle is 4 inches.

The process used here is similar to working through proportions and scale factors. For instance, if one is working with scale models, as in the miniature fish pond example, the scale factor is used to determine the dimensions in the model based on actual size dimensions. However, in this case, the given equations allowed us to find the width directly.

NEED HELP ASAP 10 POINTS

Answers

Answer:

unlikley

Step-by-step explanation:

Math help, I'm stuck with my homework and I want to get it done.
if the gragh of y=-4x+7 is perpendicular to the gragh of y=mx+3 then what does m equal

Answers

Answer:

m = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 7 is in this form with slope m = - 4

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]

Hence the value of m = [tex]\frac{1}{4}[/tex]

X=
A. 115.5
B. 137
C. 180

Answers

Answer:

The correct answer option is C. 180

Step-by-step explanation:

We are given a figure of a circle with two known angles measuring 137 degrees and 94 degrees and we are to find the value of x.

Finding x:

[tex]137 = \frac{1}{2} (\angle x + 94)[/tex]

[tex]137 = \frac{1}{2} \angle x + 47[/tex]

[tex]\frac{1}{2} \angle x = 137 - 47[/tex]

[tex]\frac{1}{2} \angle x = 90
[/tex]

[tex] \angle x = 90 \times 2&# 1 0 [/tex]

x = 180

Answer:

the answer is 180

Step-by-step explanation:

Because yes!! Also I hope you have a wonderful wonderful day!! :D

an official playing field (including end zone) for the indoor football league has a length 45 yd longer than its width. the perimeter of the rectangular field is 174 yd. find the length ​

Answers

So you know the perimeter form is = 2(l + w) or l + l + w + w

So the length is 45 + w following the formula

2(45 + w) + 2w = 174

90 + 2w + 2w = 174

4w = 84
w= 21

So the length is 45 + w, w= 21

45+ 21 = 66

Hope this helps!


Final answer:

Given the provided conditions, we set up an equation to determine the width and length of the indoor football field. After simplifying the appropriate mathematical expressions, we find that length of the football field is 66 yards.

Explanation:

In this problem, we're solving for the length of an indoor football field. We know that the perimeter of a rectangle is given by [tex]2L + 2W[/tex] (twice the length plus twice the width) and the length is said to be 45 yards longer than the width. Therefore, we would describe the length as 'W + 45'

Let's represent the width as W and thus the length as W + 45. Substituting these into our perimeter equation we get [tex]2(W) + 2(W +45) = 174.[/tex] Simplifying gives [tex]4W + 90 = 174[/tex]

Subtracting 90 from both sides gives 4W = 84. Thus, W = 21. Substituting this value back into our equation for the length gives us L = 21 + 45 which equals 66 yards. Therefore, the length of the indoor football field is 66 yards.

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What is the solution to the inequality below?
2- 2x>-20

Answers

Answer:

x<11

Step-by-step explanation:

Subtract by 2 both sides of equation.

2-2x-2>-20-2

Simplify.

-2x>-22

Multiply -1 from both sides of equation.

(-2x)(-1)<(-22)(-1)

Simplify.

2x<22

Divide by 2 from both sides of equation.

2x/2<22/2

Simplify, to find the answer.

22/2=11

x<11 is the correct answer.

To solve the inequality 2 - 2x > -20, we isolate the variable term by adding 2x to both sides, subtracting 2, and then dividing by 2 to find that the solution is x < 11.

To solve the inequality 2 - 2x > -20, we can follow these steps:

Add 2x to both sides of the inequality to isolate the constants: 2 > -20 + 2x.Then subtract 2 from both sides to isolate the variable term on one side: 0 > -22 + 2x or -22 + 2x < 0.Divide both sides by 2, noting that division by a positive number does not change the direction of the inequality: -11 + x < 0 or x < 11.

The solution to the inequality is x < 11.

Which of the following is a true statement about skew lines?
A. Skew lines are parallel.
B. Skew lines intersect at a single point.
C. Skew lines are perpendicular.
D. Skew lines do not lie in the same plane

Answers

C that the answer to I think
Answer:

The statement which is true about skew lines is:

                    Option: D

                D. Skew lines do not lie in the same plane

Step-by-step explanation:

Skew lines-

In mathematics, skew lines are the lines which do not intersect and also they are never parallel.

Also, we know that if two lines are on the same plane i.e. coplanar this means either they will cross i.e. intersect or will be parallel.

This statement imply that skew lines do not lie in the same plane i.e. they are non-coplanar.

Hence, from all of the definition and the property above we get:

      D. Skew lines do not lie in the same plane

Find the slope the line that contains the points (1,9) and (-5,8). what is the slope formula?

Answers

Answer: 1/6

Step-by-step explanation:

Lets say two points are (a,b) and (c,d)

the slope that cross these two points is: (b-d)/(a-c) or (d-b)/(c-a) → either one is fine, but make sure the one you are subtracting is the one from the same point.

Hope it helped!

Answer:

The slope formula is [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

The slope of (1, 9) and (-5, 8) is 1/6

Step-by-step explanation:

(9 - 8)/( 1 - [-5]) = 1/6

what is 10 divided by 05
[tex]10 \div .05[/tex]

Answers

let's convert the 0.05 to a fraction first, so we have two decimals, so our fraction will have two zeros then.

[tex]\bf 0.\underline{05}\implies \cfrac{005}{1\underline{00}}\implies \cfrac{1}{20} \\\\[-0.35em] ~\dotfill\\\\ 10\div 0.05\implies \cfrac{10}{1}\div \cfrac{1}{20}\implies \cfrac{10}{1}\cdot \cfrac{20}{1}\implies 200[/tex]

You are choosing 3 of your 8 trophies and arranging them in a row on a shelf.
In how many different ways can you choose and arrange the trophies?
O A. 56
O B. 40,320
O C. 24
O D. 336

Answers

[tex]{_8C_3}\cdot 3!=\dfrac{8!}{3!5!}\cdot 6=\dfrac{6\cdot 7\cdot 8}{6}\cdot6=336[/tex]

There are 336 ways we can choose and arrange the trophies.

The answer is option D. 336

What are permutation and combination?

A permutation is a mathematical way that determines the number of possible arrangements in a set.In a permutation, the elements are arranged in a specific order.A combination is a method that determines the number of possible arrangements in a set. In a combination, the elements of the set can be arranged in any order.

calculation:-

   ₃C⁸.3! = 8!/3!5!.6 = (6.7.8)/6.6 = 336

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Which of the following are true about x? Check all that apply. x ∉ A x ∈ B x ∉ C x ∈ A ⋃ B x ∈ A ⋃ C x ∈ A ⋂ B

Answers

Answer:

The true statements are,

x ∈ B

x ∉ C

x ∈ A ⋃ B

x ∈ A ⋂ B

x ∈ A ⋃ C

Step-by-step explanation:

From the figure we can see three sets A, B, C

Check all options

1)  x ∉ A

From the figure we get, x is an element of A

x ∉ A is False

2)  x ∈ B

From the figure we get, x is an element of B

x ∉ B is True

3)  x ∉ C

From the figure we get, x is not an element of C

x ∉ C is True

4). x ∈ A ⋃ B

From the figure we get, x is an element of A ⋃ B

x ∈ A ⋃ B  is True

5). x ∈ A ⋃ C

From the figure we get, x is an element of A ⋃ C

x ∈ A ⋃ C  is True

6).x ∈ A ⋂ B

From the figure we get, x is an element of A ⋃ B

x ∈  A ⋂ B   is True

Answer:

Everything is true expect for the first answer choice .

Step-by-step explanation:

If the parabola of the form y = a(x – h)2 + k is always shifted horizontally h units and vertically k units, then its vertex is always

Answers

Answer:

(h,k)

Step-by-step explanation:

because of how the h is horizontal that is the x value and the k is vertical making it the y value.

(pls mark brainliest)

The vertex gets shifted by h units horizontally and k units vertically.

The parabola is defined by

y = a(x - h)² + k

has its vertex at (h,k).

After a shift by h units right, followed by a shift of k units vertically, the parabola is defined by

y = a(x - 2h)² + 2k

which has its vertex at (2h, 2k).

∴ (h,k).

Vertex Form of the Equation of a Parabola: The equation y=a(x−h)2+k y = a ( x − h ) 2 + k of a parabola is said to be in vertex form because the vertex can be determined by examining the equation: (h,k) is the vertex.

What is the formula of parabola?

The equation of a parabola can be written in two basic forms: Form 1: y = a( x – h) 2 + k. Form 2: x = a( y – k) 2 + h.

What is parabola and examples?

A parabola is nothing but a U-shaped plane curve. Any point on the parabola is equidistant from a fixed point called the focus and a fixed straight line known as the directrix. Terms related to Parabola.

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A student decides to run a simulation of rolling an even number with a single die. Use the simulated results from 20 attempts to estimate the probability, then compare your estimation with the theoretical probability.

1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6

Answers

Answer:

Practical probability:  9 / 20 = 45%

Theoretical probability: 3 / 6 = 50%

Step-by-step explanation:

So, we have 20 rolls:

1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6

Out of which we have 9 even numbers: 2 6 6 4 4 6 2 2 6

So, the practical probability is 9 / 20 or 45%

The theoretical probability is:

Possible outcomes (6): 1 2 3 4 5 6

Even numbers possible (3): 2 4 6

P = 3 / 6 = 50%

The practical probability is a bit lower (45%) than the theoretical probability (50%) but that's most probably due to the low number of rolls, it's just one roll away from being on target.  With a greater number of rolls, the student would get closer to the theoretical probability.

One number is 4 less than 3 times a second number. If 3 more than two times the first number is decreased by 2 times the second number, the result is 11. Use the substitution method. What is the first number?

Answers

Answer:

The first number is 8

Step-by-step explanation:

Let

x -----> the first number

y ----> the second number

x=3y-4 ----> equation A

3+2x-2y=11 ----> equation B

Substitute equation A in equation B and solve for y

3+2(3y-4)-2y=11

3+6y-8-2y=11

4y=11+5

y=16/4=4

Find the value of x

x=3(4)-4=8

Find the measure of the reference angle for an angle of 152º.

Answers

Answer:

28 deg

Step-by-step explanation:

Reference angle is the smallest angle formed by the terminal ray, x-axis, and origin. So at 180 you are on the x-axis so just for this question you have to do 180-152=28.

The reference angle should be a positive between 0 and 90 degrees.

Both the red and blue line segments stretch from the center of the circle to a
point on the circle. The length of the blue line segment is 7. How long is the
red line segment?
Center
O A. 14
O B. 7
O C. 10.5
O D. 3.5

Answers

Answer:

7

Step-by-step explanation:

Blue is 7 and the Red is 7

Answer:

7

Step-by-step explanation:

Solve the system of equations.
y= 2x
y= x^2 - 15

Answers

Answer:

Since both equations are equal to each other given that they are both equal to y, you can say that . . .

2x = x^2  - 15

x^2 - 2x - 15 = 0

(x-5) (x+3) = 0

Zero Product Property

x = 5 ; x = -3

Solve for y:

y = 2(5) ; y = 2(3)

y = 10 ; y = 6

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

Factorise (x-y)4-(x-y)2

Answers

Answer:

Step-by-step explanation:

Let x - y = A

A^4 - A^2

A^2 ( A^2 - 1)

A^2 (A + 1)(A - 1)

(x - y)^2 (x - y + 1)(x - y - 1)

If I have not thought out the question properly please leave me a note.


Sophie sprays 200 fluid ounces of water on the window plants in her house every day. How much water does she spray each day?







A. 1.5625 gal.


B. 1.7500 gal.


C. 2.250 gal.


D. 2.500 gal.

Answers

A. 1.5625 gal.

Formula  

divide the volume value by 128

I decided 200 by 128 and voila; there is the answer.

a bicycle tire is 28 inches in diameter. approximately how far does the bicycle move forward each time the wheel goes around? (use 22/7 as an approximation for pi.)

Answers

Answer: 88 inches

Step-by-step explanation:

Given : A bicycle tire is 28 inches in diameter. approximately.

To find the distance traveled by the bicycle each time the wheel goes around we need to find the circumference of the tire.

The circumference of a circle : [tex]\pi d[/tex], where d is the diameter of the circle.

Now, the circumference of tire : [tex]\dfrac{22}{7} \times(28)=88[/tex]

Hence, the distance traveled by the bicycle each time the wheel goes around  =88 inches.

The wheel moves forward each time, in a single round it will cover distance of 88 inches.

Given information:

The diameter of the tire is 28 inches.

Now, if we need to find the distance covered by the tire in one round, we need to understand that the tire will cover exactly same distance as it's circumference in one round.

So, the distance will be equal to its circumference :

[tex]D=\pi\times d[/tex]

Hence, distance covered (D)

[tex]D=3.14\times 28\\D=88[/tex]

Hence, when the wheel move forward each time the in a single round it will cover 88 inches.

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Which quadratic equation is equal to (x+2)^2+5(x+2)-6=0

Answers

Answer:

(x+2)^{2} +5(x+2)-6=0

Let

u=(x+2)

Substitute in the expression

(u)^{2} +5(u)-6=0

therefore

the answer is

(u)^{2} +5(u)-6=0 is equivalent to (x+2)^{2} +5(x+2)-6=0

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See attached for answer

What is the slope of the line?
slope = -2
slope = -1
slope = 1​

Answers

The awnser is slope =-2

Use the points where the line crosses the x and y axis.

(2,0) and (0,2)

Slope = change in Y over the change in x.

Slope = (2-0) / (0-2)

Slope = 2/-2

Slope = -1

Other Questions
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