1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aneli [31]
3 years ago
5

Determine the contrapositive of the conditional statement: If My Mom has to work, then I babysit my little sister.

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0
If my babysitter is not my little sister,then my mom does not work.
You might be interested in
Determine if the following statement is true or false. (Enter TRUE if the statement is true, enter a counterexample if the state
ehidna [41]

Answer:

The answer is: the satement is FALSE.  

Step-by-step explanation:

The first step is to transform the propositons in the statement into symbols:

A: m is any positive integer

B: n is any positive integer

C: mn is a a perfect square

D: m is a perfect square

E: n is a perfect square

After that we replace the symbols into the statement:

If A and B and C, then D and E

Logical connectives on the satement are:

  • p⇒q conditional (if ...,then...). For this connective the only case when is FALSE is when the antecedent is true and the consequent is false.  
  • p ∧ q conjunction (p and q). For this connective the only case when is TRUE is when the two propositions are true at the same time.  

So now, we are going to replace the logical connectives on the statement:

((A ∧ B) ∧ C)  ⇒ (D ∧ E)

There is a hierarchy in logical connectives, first we evaluate those inside brackets. The principal connective is evaluated at the end. In this particular case, the principal connective is the conditional.

As we have five different propositions, the combinations are given by the following rule:

2^n= 2^5=32

32 different combinations  

In figure 1, added bellow, it shows the construction of truth table.

In figure 2, added bellow, it shows the development of the truth table. In the development, we don't have as a result a tautology, therefore the statement is FALSE.  

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
8 0
3 years ago
Does this graph represent a function?
Alex73 [517]

Answer:

No, because it fails the vertical line test

3 0
3 years ago
I need help! Please please please please
blsea [12.9K]
I'm pretty sure that the answer to the fudge cakes is 8 friends
7 0
3 years ago
Diego measured the number of cups of water in 15 bottles of various sizes. He made this line plot to show how many of each size
Hunter-Best [27]

Answer:

A plot would be very useful to solve the question.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Hey can you please help me posted picture of question
Rudik [331]
Answer:
f⁻¹(x) = \frac{7x-3}{4}

Explanation:
To get the inverse of a function, we have to follow these steps:
1- replace f(x) with y
2- swap the x and y variables
3- solve for y
4- replace y with f⁻¹(x)

Applying this to the given as follows:
f(x) = \frac{4x-3}{7}

Step 1: replace f(x) with y:
y = \frac{4x-3}{7}

Step 2: swap the x and y variables:
x = \frac{4y-3}{7}

Step 3: solve for y:
7x = 4y - 3
4y = 7x - 3
y = \frac{7x-3}{4}

Step 4: replace y with f⁻¹(x):
f⁻¹(x) = \frac{7x-3}{4}

Hope this helps :)
8 0
3 years ago
Other questions:
  • 3x+y/z=2 solve for x
    7·1 answer
  • consuder the following polynomial equation x(x-3)(x+6)(x-7)=0. which of the following are zeros of the equation? select all that
    5·1 answer
  • Rainwater was collected in water collectors at thirty different sites near an industrial basin and the amount of acidity (pH lev
    14·1 answer
  • 13+(3+7)=(13+3)+7 what property is that​
    11·2 answers
  • A charity sold 475 tickets to a dinner auction. If the charity raised $16,625 in ticket sales, what was the cost of one ticket?
    10·1 answer
  • Melissa is making a piece for a stained glass window that has the shape and measures shown below. Point C is the center of the p
    10·2 answers
  • indio, california is located at an elevation that is below sea level. which is a possible elevation for indio, california?pls he
    14·1 answer
  • Use the following functions to answer the questions: f(x)=√x+3, g(x)=2x+9, h(x)=x4 . Evaluate f(g(2)) .
    9·1 answer
  • Find the amount of simple interest that $400 would earn at 8% per year by the end of 3 1/2 years.​
    7·1 answer
  • I need help with this
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!