ASAP PLEASE!!! Start with the following conditional statement: If it is October 31, then it is Halloween.
a. State the converse of the statement.
b. State the inverse of the statement.
c. State the contrapositive of the statement.

Answers

Answer 1
Let p, and q be 2 statements. Consider the conditional p⇒q (that is, if p then q).

i)   The converse of the statement is q⇒p.

ii).  The inverse of the statement is ¬p⇒¬q.

iii).  The contrapositive of the statement is ¬q⇒¬p.


Let p: it is October 31, and let q: it is Halloween

The converse of the conditional p⇒q  is q⇒p:

                 
  If it is Halloween, then it is October 31. 

The inverse is ¬p⇒¬q:

                   
If it is not October 31, then it is not Halloween.

The contrapositive ¬q⇒¬p is:

                   
If it is not Halloween, then it is not October 31.

Related Questions

Which of the following list of ordered pairs is a function?!!!

Answers

the answer will be a
I think A. will be the answer because how the numbers show that its increasing by every time so i would choose A as the best answer.

Classify the expression 7x3 + 2x2 − 9 as a monomial, binomial, trinomial or polynomial.

Answers

Trinomial is your answer. 
Trinomial my dude / dudette

Sam made 6 identical necklaces, each having beads and a pendant. the total cost of the beads and pendants for all 6 necklaces was $31.80 . if the beads cost $2.70 for each necklace, how much did each pendant cost?

Answers

Since six necklaces all together costs 31.80 to make, I divided 31.80 by 6 and got 5.3. That means that to make one necklace, they'd spend $5.30. The beads alone for 1 necklace cost $2.70, so I subtracted that from the $5.30.

Answer: Each pendant costs $2.60

Factor the polynomial completely 20x -220x squared + 600x

Answers

I first would rearrange the problem

-220x^2 + 20x + 600x

Simplify

-220x^2 + 620x

Find the GCF of the two values

20x(11x + 13)

Hope this helps!

How can you distinguish the base of an isosceles triangle from a leg

Answers

In an isosceles triangle the two legs are equal while the base is the different side

Solve the equation for z and approximate the value of z
0.5*e^​4z ​​ =13

Answers

I'm going to write out the work and take a pic. hope this helps you understand if not, feel free to ask me Q's! :)

The sum of two numbers is 95. If the larger number is increased by twice the smaller number, the result is 120. What is the larger number?

If S = the smaller number and L = the larger number, then which of the following systems of equations represents the word problem?

Answers

S+L=95
2s+L=120 
so it's 120

Answer: correct answer is S + L = 95 and 2S + L = 120

Step-by-step explanation:

cindy had a party. She invited two guests. Her guests each invited four guests, and then those guests each invited three guests.

Answers

In all there would be 17 guests. Including Cindy.
The total amount of guests would be 18 because the two guests brought four guests which would be 10 and since those guests in invited three guests each then it would lead up to the total of 18.

Choose the correct answer for the amount of interest earned in the following simple interest problem. A deposit of $4,000 at 6.5% for 270 days

Answers

The formula is
I=prt
I interest earned?
P principle 4000
R interest rate 0.065
T time 270/360days
I=4,000×0.065×(270÷360)
I=195

Note that the interest is ordinary not exact. Ordinary interest assumes that there are 30 days in every month or in other word 360 days a year.

Hope it helps!


Answer:

195.00

Step-by-step explanation:

Based on the lines 5 and 6, what is the best meaning of treasure divine? precious item inconsequential object frivolous amulet incredible wealth

Answers

precious item is the answer

the first one if correct

Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If Robbie wants to save money to buy a car, he must get a part-time job. Robbie started a new job yesterday at a grocery store. Robbie wants to save money. Robbie wants to buy a car. not possible If Robbie wants to save money, he must get a part-time job.

Answers

Final answer:

Using the Law of Detachment, we can conclude that Robbie wants to save money because he started a new job and the first condition states that he needs a job to save for a car.

Explanation:

Using the Law of Detachment, we can draw a conclusion from the following two statements:

If Robbie wants to save money to buy a car, he must get a part-time job.Robbie started a new job yesterday at a grocery store.

Since Robbie started a new job, which is assumed to be part-time, we can conclude that Robbie wants to save money, as per the first statement which sets up a condition that needs to be fulfilled in order to save money. The specific intention of buying a car is not directly established, but it's often implied that people save for larger investments or expenses. The Law of Detachment only allows us to conclude propositions that directly follow from the given condition. Therefore, the direct conclusion we can draw here, based on the given statements and the Law of Detachment, is that Robbie wants to save money.

Final answer:

According to the Law of Detachment, Robbie wants to buy a car since he wants to save money and he has started a new job.

Explanation:

The Law of Detachment states that if we have a conditional statement of the form "If p, then q", and we know that p is true, then we can conclude that q is also true. In this case, let's analyze the given statements:

1. If Robbie wants to save money to buy a car, he must get a part-time job.

2. Robbie started a new job yesterday at a grocery store.

From statement 1, we can see that Robbie wanting to save money is the condition (p), and getting a part-time job is the conclusion (q). Since statement 2 confirms that Robbie has started a new job, which satisfies the condition (p), we can use the Law of Detachment to conclude that Robbie wants to save money (q) and therefore Robbie wants to buy a car (q). So, the conclusion is: that Robbie wants to buy a car.

solve for p if 2|p|=4

Answers

First, isolate the absolute value by dividing both sides by 2.

2|p| = 4

|p| = 2

Now set p = 2, and set p = -2.

Since what was inside the absolute value symbol is just p, the equation is solved.

Answer: p = 2 or p = -2

△VAT≅△BDT. What is length of BT?

Enter your answer in the box.

Answers

we know that

If △VAT≅△BDT, then the corresponding sides will be congruent

[tex]VT=BT\\VA=BD\\ AT=DT[/tex]

we have

[tex]VT=6.3\ unit\\VA=3.7\ unit\\AT=4.7\ unit[/tex]

so

[tex]BT=6.3\ unit[/tex]

therefore

the answer is

[tex]BT=6.3\ unit[/tex]

Bella babysits for two families each weekend. One family pays her $20. The other family pays her $22. Which expression represents the amount of money Bella has been paid after w weekends?

Answers

y=w(20+22). That uses the distributive property. for a simpler answer, use y=20w+22w.

Is 55.56 greater than 55.65? I'm in a hurry so answer quick

Answers

no it is equel hope this helps
 

There is a sales tax of $6 on an item that cost $80 before tax. The sales tax on a second item is $11.25. How much does the second item cost before tax?

Answers

The second item's cost before the sake tax would be $17.25

Bill, Bob, and Barry are hired to paint signs. In 8 hours Bill can paint 1 sign, Bob can paint 2 signs, and Barry can paint 1 and 1/3 signs. They all come to work the first day, but Barry doesn't like the job and quits after 3 hours. Bob works half an hour longer than Barry and quits. How long will it take Bill to finish 2 signs they were supposed to paint?

Answers

Answer:
Bill will take a total of 5 hours (or 1½ hours additional after Bob quits).

1. In what country did the government debate the merit of teaching students quadratics? 2. What modern technology would not be possible without quadratics? (hint: I have one at my house.) 3. What great ideas did the Babylonians come up with? 4. Why did the Babylonians need to solve quadratic equations?

Answers

i would say number 2 but dont take my word for it 

This set of points is on the graph of a function.
{(−3, 9), (−1, 1), (0, 0), (2, 4)}
Which points are on the graph of the inverse?
Select each correct answer.
(0, 0)
(−9, 3)
(4, 2)
(1, −1)

What is the inverse of f(x)=4x+3 ?
f^−1(x)=1/4x−3/4
f^−1(x)=−1/4x+3/4
f^−1(x)=4x−3
f^−1(x)=−4x−3

What is the inverse of the function?
g(x)=−4/3x+2

g^−1(x)=−4/3x−2
g^−1(x)=3/4x+2/3
g^−1(x)=−3/4x+3/2
g^−1(x)=4/3x−2

Which functions are invertible?
Select each correct answer. (has pictures)

A.
B.
C.
D.

What is the inverse of f(x)=x4+7 for x≥0 where function g is the inverse of function f?



g(x)=x+7√4 , x≥−7

g(x)=x√4+7 , x≥0

g(x)=x−7√4,  x≥7

g(x)=x√4−7 , x≥0

Answers

Problem 1)

(-3,9) is one point on the original function, so (9,-3) is on the inverse. We swap x and y. The point (9,-3) isn't listed so we move onto the next.

(-1,1) is on the original so (1,-1) is on the inverse. Again we swap x and y. Choice D matches with this. So D is one of the answers.

Choice A is also an answer since (0,0) swaps to (0,0)

Choice C is also an answer since (2,4) swaps to (4,2)

In summary, the answers are A, C, D

======================================================================
Problem 2)
Replace f(x) with y. Swap x and y. Then solve for y

f(x) = 4x+3
y = 4x+3
x = 4y+3
x-3 = 4y+3-3
x-3 = 4y
4y = x-3
4y/4 = (x-3)/4
y = (x-3)/4
y = x/4-3/4
y = (1/4)x-3/4

which matches with choice A, so choice A is the answer

======================================================================
Problem 3)
Replace g(x) with y. Swap x and y. Then solve for y

g(x) = (-4/3)x + 2
y = (-4/3)x + 2
x = (-4/3)y + 2
x-2 = (-4/3)y + 2-2
x-2 = (-4/3)y
(-3/4)(x-2) = (-3/4)(-4/3)y
(-3/4)(x-2) = y
y = (-3/4)(x-2)
y = (-3/4)x+(-3/4)(-2)
y = (-3/4)x+3/2 ... answer is choice C

======================================================================
Problem 4)

The first two are invertible while the last two are not. The last two fail the horizontal line test so they don't have an inverse.

======================================================================
Problem 5)

It's a bit tricky to determine what the answer choices are saying but I'm assuming they are referring to fourth roots. If so, then we have

f(x) = x^4+7
y = x^4+7
x = y^4+7
x-7 = y^4+7-7
x-7 = y^4
y^4 = x-7
FourthRoot(y^4) = FourthRoot(x-7)
y = FourthRoot(x-7)

which is written as [tex]\sqrt[4]{x-7}[/tex]
Final answer:

The points on the inverse function are (9, -3), (1, -1), (0, 0), and (4, 2). The inverse of f(x)=4x+3 is[tex]f^{-1}(x) = -3 + \frac{1}{4}x[/tex]. The inverse of g(x)=−4/3x+2 is [tex]g^{-1}(x) = \frac{3}{4}x + \frac{2}{3}[/tex] . The inverse of f(x)=x^4+7 for x≥0 is [tex]g(x) = \sqrt{\frac{x-7}{4}}[/tex], for x≥7.

Explanation:

To find the points on the graph of the inverse of the function, simply switch the x and y coordinates. So, the points on the graph of the inverse function would be (9, -3), (1, -1), (0, 0), and (4, 2).

For the inverse of the function f(x)=4x+3, you rearrange the equation to solve for x. That gives [tex]f^{-1}(x) = -3 + \frac{1}{4}x[/tex]Therefore, the correct answer is [tex]f^{-1}(x) = \frac{1}{4}x - \frac{3}{4}[/tex]

The inverse of the function g(x)=−4/3x+2 could be found in the same way, which gives[tex]g^{-1}(x) = \frac{3}{4}x + \frac{2}{3}[/tex]

As for the question regarding invertible functions, without the images it is not possible to provide an answer.

The inverse of the function [tex]f(x)=x^4+7[/tex] for x≥0 is calculated by swapping x and y, and then solving for y. This yields: [tex]g(x) = \sqrt{\frac{x-7}{4}}[/tex], for x≥7.

Learn more about Inverse Functions here:

https://brainly.com/question/17872426

#SPJ2

Determine if the lines are parallel, perpendicular, or neither y=5 and y =-1

Answers

The are parallel to each other because the are both straight horizontal lines
 y = 5 and y = -1 is a parallel line .
They both line on the y - axis .
( 0,5 ) and ( 0,-1 ) 

Johnny is reading a novel for the read-a- Thon. The ratio of the number of pages she read to the pages that remain to be read is 7:3. If the book contains 500 pages in all, how many pages did Johnny reed and how many pages remain left?

Answers

There are several ways to answer this question and I will use this approach. Since Johnny reads at a ratio of 7:3 it can be stated that for every 10 pages in a book containing 500 pages Johnny will read 7 of those pages. There are 50 groups of 10 in a 500-page book (50 x 10). Take the ration 7:3 times 50 and use the distributive property:  7:3(50) = (7 x 50):(3 x 50) = 350:150. Based on this Johnny has read 350 pages and has 150 pages remaining.

What is the equation of a line with a slope of -1/2 and passes through the point (6,-6)

Answers

Well I am going to assume you need slope-intercept form. So the equation is y=mx+b. m is slope, b is y intercept. So you just plug it in -6= -1/2(6)+b. -6=-3+b. Now you figure out for b so what does b have to be to make the equation equal. Well -3 so -6=-3+-3, or -6=-6. 

y=-1/2x-3
 
Hope that helped

What is 75% of 400 write evaluate an expression to find the answer.then explain how touse the model to justify the answer?

Answers


75 /100  x 400 =

75 x400/ 100= 

 300

Hey there
I like to do it this way :
100% = 400
1%= 400/100
     = 4
75%= 4 x75
       = 300

Hope this helps :))

~Top

The function f(x) is shown in the graph.

What is the equation for f(x)?



Enter your answer in the box.
f(x)=_______

Answers

   f(x) =   (-5/6)x    1  .
___________________________________

A cube is packed with decorative pebbles. If the cube has a side length of 4 inches, and each pebble weighs on average 0.5 lb per cubic inch, what is the total weight of the pebbles in the cube?

Answers

First we must find the volume of the cube. This is equal to side^3. 4^3=64 cubic inches. Since the pebbles are .5 pounds per cubic inch and we assume it is packed we multiply the volume by .5
This will give 32 pounds

What does it mean for data on a scatter plot to have no association? How does that affect the line of best fit?

Answers

If there isn't any association, or CORRELATION, then you'd have a very difficult time determining a line of best fit since the independent and dependent variables wouldn't have any form of relationship.

For instance, let's say that I was going to plot (x,y) where x represented somebody's first name, and y represented how old they were

Does a person's name determine their age?  Of course not, so there would be no association, or CORRELATION, which means there would not be a way to put in a line of best fit for this.

Hope this helps.

Brian

Answer:

If there isn't any association, or CORRELATION, then you'd have a very difficult time determining a line of best fit since the independent and dependent variables wouldn't have any form of relationship

Step-by-step explanation:

Please put down the steps?

Answers

The answer is:  " x = 0, 1 " .
__________________________________________
Explanation:
__________________________________________
Given:
__________________________________________
   " √(x + 1)  − 1 = x "  ;   Solve for "x" ;

First, let us assume that "x ≥ -1 "

Add "1" to EACH SIDE of the equation:

 →  √(x + 1)  − 1  + 1 = x + 1  ; 

to get:  

 →  √(x + 1)  = x + 1 .

Now, "square" EACH side of the equation:

 →  [√(x + 1) ]²  = (x + 1 )² ;

to get: 

   x + 1 = (x + 1)² 

↔  (x + 1)²  = (x + 1) .


Expand the "left-hand side" of the equation:

 → (x + 1)² = (x + 1)(x +1) ;

Note: (a+b)(c+d) = ac +ad + bc + bd ;

As such:  (x + 1)(x + 1) = (x*x) + (x*1) +(1(x) + (1*1) ;
                                   =  x² + 1x + 1x + 1 ; 
                                   =  x²  + 2x  +  1 ;

Now, substitute this "expanded" value, and bring down the "right-hand side" of the equation; and rewrite the equation:
__________________________________________
   " (x + 1)² = (x + 1)(x +1) " ; 

  →  Rewrite as:  " x² + 2x + 1 = x + 1 " ;

 Subtract "x" ;  and subtract "1" ; from EACH SIDE of the equation:

               →   x² + 2x + 1 - x - 1 = x + 1 - x - 1 ; 

to get:    →   x² − x = 0  

Factor out an "x" on the "left-hand side" of the equation:
___________________________________________
         x² − x = x(x − 1) ;

         →  x (x − 1) = 0 ;

We have:  "x" and "(x − 1)" ; when either of these two multiplicands are equal to zero, then the "right-hand side of the equation equals "zero" .

So, one value of "x" is "0" .

The other value for "x" ;

→  x − 1 = 0 ;

Add "1" to each side of the equation:

  → x − 1 + 1 = 0 + 1 ; 

 →  x = 1 ; 
__________________________________
So, the answers:

 " x = 0, 1 " .
_________________________________

For an arithmetic sequence where a1 = 13 and the common difference is 3, find s7.

A. 162
B. 157
C. 154
D. 151

Answers

sn=n/2[2a+(n-1)d]
s7 means n=7

a7=7/2[2(13)+(7-1)(3)]=7/2(44)=154

Ans:C

Answer:

C. 154

Step-by-step explanation:

Here we have given that,

First Term a₁ = 13

Common Difference d = 3

Term (n ) = 7

so, we have arithmetic sequence: 13, 16, 19, 22,... and so on

Thus Sum of first 7 terms = [tex]\frac{n}{2} [2a+(n-1)d][/tex]

                                          = 7÷2 [2*13 + (7 - 1)*3 ]

                                          = 3.5 [ 26 + 21 ]

                                          = 154

                                           

A parabola opens to the left. Which could be the equation of the parabola?
(x – 4)2 = 4(y + 3)
(x – 4)2 = –4(y + 3)
(y – 4)2 = 4(x + 3)
(y – 4)2 = –4(x + 3)

Answers

Answer:

[tex](y - 4)^2 = -4(x + 3)[/tex]

Step-by-step explanation:

When parabola opens the left then it is a horizontal parabola

Vertex form of horizontal parabola is

[tex](y-k)^2= 4p(x-h)[/tex]

where (h,k) is the vertex

When the parabola opens to the right then 4p is positive

when parabola opens to the left then 4p is negative

Now we look at the given equation and check with vertex form of parabola

[tex](y - 4)^2 = -4(x + 3)[/tex]

Here the value of 4p is negative , so parabola opens left

which statement is equivalent to the inequality 14x-14>7x+7

Answers

14x-14>7x+7

14x - 7x > 7 + 14

7x > 21

x > 21/7

x > 3

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