Which of the following is logically equivalent to “I wear a jacket if it is cold outside." ?

If I wear a jacket, then it is cold outside.
If I do not wear a jacket, then it is not cold outside.
I wear a jacket if and only if it is cold outside.
If it is not cold outside, then I do not wear a jacket.

Answers

Answer 1

The option from the following that is logically equivalent to the statement is that: If it is not cold outside, then I do not wear a jacket.

What is Logical equivalence?

Two statements are regarded to be logically equivalent if, and only if, their resultant forms are logically equivalent during the time at which identical statement variables are utilized to illustrate their component statements.

Similarly; two statement forms are noted to be logically equivalent if, and only if, their resultant truth tables show an identical form per variation of statement variables.

Therefore, we can conclude that the correct option that is logically equivalent to the statement being made is that: If it is not cold outside, then I do not wear a jacket.

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Related Questions

Pls help me with this

Answers

Answer:

x=0

Step-by-step explanation:

Key skills needed: Proportions, Cross multiplication, One variable Equations, Multiplication

1) Since this is a proportion, we need to cross multiply. A proportion is just 2 fractions equal to each other in this format.

---> Cross multiplication is when you multiply the first fraction's numerator by the second fraction's denominator, and you multiply the first fraction's denominator by the second fraction's numerator.

---> You set these products equal to each other.

2) So if we cross multiply it would be: 3(3x+5) = 5(3-2x)

---> If you multiply everything out, it would be --> 9x + 15 = 15 - 10x

3) Move the x terms to one side and the numbers to the other side

--->  9x + 10x = 15-15

4)  Combine like terms (9x+ 10x= 19x) (15-15=0) 19x = 0

5) Divide by 19 and x=0.

Hope you understood and have a nice day!! :D

I need help I will give brainiest​

Answers

Answer:

22___16___38

29___9___38

51___25___76

Step-by-step explanation:

22+_=_

29+9=_

_+25=_

_______________________________

22+_=_

29+9=38

_+25=_

________________________________

22+16=_

29+9=38

_+25=_

________________________________

22+16=38

29+9=38

_+25=_

________________________________

22+16=38

29+9=38

51+25=_

________________________________

22+16=38

29+9=38

51+25=76

my wyvern died T^T im so sad

Answers

Answer: I hope you feel better.

what is m% of p% of n?
MY LAZY BUTT DON'T WANNA DO THIS

Answers

m% of p% of n
m/100 · p/100 · n.

A man owe a debt of 90naira and hes to pay back monthly instalments of 2.50 how many years would it take him to finish paying the debt​

Answers

Answer:

a man owe a debt of 99 naira

naira pays = monthly installments =2.50

how many years would take him to finish the paying the debit

5years

It would take 3 years for him to finish paying the debt.

Given that,
A man owes a debt of 90naira and has to pay back monthly installments of 2.50.
it is to be determined how many years would it take him to finish paying the debt​.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Total loan amount = 90
monthly installment = 2.50
Total months for installments = 90 / 2.20 = 36
Total years = number of months / months in ayear = 36 / 12 = 3

Thus, it would take 3 years for him to finish paying the debt.

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Please help! Will mark brainlessest

Answers

D.) D’(-3,-16)
Trans station is (x-5,y-16)

what’s the distance? between j and n

Answers

Answer:

Exact Form:

2 √ 17

Decimal Form:

8.24621125 …

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Conroy Creations has been hired to create invitations to the Spring Gala. The
invitations are to be created using a 6 inch by 4 inch sheet of paper folded
horizontally. Inside the invitation includes a large image in the center so that
when the card is opened it illustrates a reflection over the fold of the card.
Which figure below could be used as the center of the invitation

Answers

Answer:

D

Step-by-step explanation:

The given sheet of paper is folded horizontally, thus a pattern with respect to the fold is formed inside the paper. This pattern would in the form of two lines crossing each other at right angles.

To illustrate a reflection over the fold of the card, the pattern in option D could be used as the center of the invitation.

Therefore, the correct option is D.

Please help!!
The topic is ratios and proportions.

Answers

Answer:

Step-by-step explanation:

From the first set 20 corresponds to 1/6

for a fraction of 2/3 = 4/6

thus 4 * 1/6 = 4 * 20 = 80 calories

For 10 calories,

20 * 1/2 = 10 calories thus

1/6 * 1/2 = 1/12

For 90 calories,

10 * 9 = 90 calories thus,

1/12 * 9 = 9/12 = 3/4

What is the limit of the function?
Select True or False for each limit statement.

Answers

Answer:

false

false

false

...............

The limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

What is Differential equation?

A differential equation is an equation that contains one or more functions with its derivatives.

The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

The right-hand limit of a function is the value of the function approaches when the variable approaches its limit from the right.

The left-hand limit of a function is the value of the function approaches when the variable approaches its limit from the left.

[tex]\lim_{x \to -\infty} (2x^{3} -2x)=\infty[/tex]

This limit function is false.

[tex]\lim_{x \to -\infty} (2x^{4} +6x^{3}-2x)=-\infty[/tex]

This limit function is false.

[tex]\lim_{x \to \infty} (-9x^{5} -6x^{3}-x)=-\infty[/tex]

This limit function is false because it should be positive.

Hence, the limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

To learn more on Differentiation click:

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I’ve post this like 5 times no one has answered it please help hehe

Answers

Answer: UT

Step-by-step explanation:

Not sure but side BC is more elevated and looks similar to side UT in the other shape.

How much did the pennies weigh in pounds (lbs)?

Answers

Answer:

3520 pounds

Step-by-step explanation:

First, we have to find how many pennies equal 2.2 lbs

By seeing that 1 penny equals 4 grams, we can divide 4 into 1,000

By doing this we can find out how many pennies equals 2.2 lbs

It is 250 pennies per 2.2 lbs

Now, it wants 400,000 pennies

So we can do 400,000/250

Which is 1600

1600*2.2 is 3520

So the answer is 3520 pounds

Marge has a book that holds her stamp collection. In this collection, 6 stamps are from England, 7 are from France, 10 are from the United States, and 3 are from Germany. Marge lives in the United States. If she picks a stamp at random from her collection, what is the probability that it is from a foreign country?

Answers

Answer:

38.46%

Step-by-step explanation:

there are a total of 6 + 7 + 10 + 3 = 26 stamps in marge's collection

out of these 26 stamps, 10 are from the United States (Marge's home country) and 16 are from foreign countries. If she picks a random stamp, the probability that it is from the United States = 10/26 = 5/13 = 0.3846 = 38.46%

how do I find the area with only the height and diameter? HELP QUICK PLS!!

Answers

Answer:

The formula for the area of a circle is A = π r2, where r is the length of the radius of a circle. We can use our knowledge that a diameter is made up of two radii to understand that r = d/2. With this knowledge, you can rewrite the formula for the area of a circle as A = π (d/2)2.

Step-by-step explanation:

What is 2 5/13 written as a decimal

Answers

Answer:

i hope this helpss

Step-by-step explanation:

The answer would be 2.38462

Hope this helps

Have a great day/night

3cis(5pi/4) in polar form

Answers

Rectangular form:
z = -2.1213203-2.1213203i

Angle notation (phasor):
z = 3 ∠ -135°

Polar form:
z = 3 × (cos (-135°) + i sin (-135°))

Exponential form:
z = 3 × ei (-0.75) = 3 × ei (-3π/4)

Polar coordinates:
r = |z| = 3 ... magnitude (modulus, absolute value)
θ = arg z = -2.3561945 rad = -135° = -0.75π = -3π/4 rad ... angle (argument or phase)

Cartesian coordinates:
Cartesian form of imaginary number: z = -2.1213203-2.1213203i
Real part: x = Re z = -2.121
Imaginary part: y = Im z = -2.12132034

Can someone plz help me on #5 the graph is the the one that’s on the screen plz anyone hurry ☹️

Answers

1/2 is the answer.............................

Answer:

Step-by-step explanation:

Ok so all you have to do is find the slope.

0-10=  -10

---------  ---

-10-10=-20

so the slope i believe is 1/2

Help please
What is the area of this parallelogram?

Answers

Answer:

20inches

Step-by-step explanation:

base times height

2 times 10 is 20

please mark me as brainliest!!<3

the answer is 20in. Good luck

2) A pound and-a-half of candy costs $1.65. Find the cost of one pound.

Answers

Answer:

1.10

Step-by-step explanation:

1 pound and 1/2=1.65

1/3 of 1.65 is 0.55.

1/2 is 0.55

so 1 pound is 0.55 times 2 which is 1.10

please mark as brainliest!!<3

find how long it will take for an investment sum of $40000 to generate simple interest of $8000 at 5% per annum​

Answers

Answer:

It will take 4 years

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

P is the investmentr is the annual rate in decimalt is the time

∵ The investment is $40000

P = 40000

∵ The simple interest is $8000

I = 8000

∵ The rate of interest is 5%

∴ r = 5%

→ Change it to decimal by divide it by 100

r = 5 ÷ 100 = 0.05

→ Substitute them in the formula above

8000 = 40000 × 0.05 × t

∴ 8000 = 2000t

→ Divide both sides by 2000

4 = t

∵ t is the time of investment

It will take 4 years

11. Determine the solutions to the inequality in interval notation.
(x - 1)(x + 3) < 0
a. (-0, -3) U (1,0)
b. (-3,1)
c. (-0, -1) U (3)
d. [-3,1]

Answers

9514 1404 393

Answer:

  b.  (-3, 1)

Step-by-step explanation:

Quadratic (or any higher-degree) inequalities are nicely solved from their factored form. The factors tell you where the function is zero. Their signs tell you whether the product is greater than or less than zero.

Here the factor (x-1) tells you the function is zero at x=1, where this factor is zero. For values of x > 1, this factor is positive.

The  factor (x+3) tells you the function is zero at x=-3, where this factor is zero. For values of x > -3, this factor is positive.

Now we know the signs of the factors are the same for x < -3 (both negative) and for x > 1 (both positive). Between these values, the factors have different signs, so the function value is negative. This interval (-3, 1) is the interval that is the solution to ...

  (x -1)(x +3) < 0

What is f 2/9 + 9 1/9?

Answers

Answer:

28/3 or 9.3333

Step-by-step explanation:

2/9 + 82/9= 28/3

what is the range of the function y =-5x +1 when the domain is {- 4/5, -1, 2/5}

Answers

Answer:

=- 11/5

Step-by-step explanation:

helpppp pleaseeee ee​

Answers

Answer:

✐ [tex] \underline{ \underline{ \sf{Given \: values}}} : [/tex]

a = [tex] \sf \frac{1}{4} [/tex]b = 6

✐ [tex] \underline{ \underline{ \sf{ \: To \: find : }}}[/tex]

-8ab

[tex] \sf{Plug \: the \: given \: values} : [/tex]

⟼ [tex] \tt{ - 8 \times \frac{1}{4} \times 6}[/tex]

⟼ [tex] \tt{ \frac{ - 8 \times 1 \times 6}{4}} [/tex]

Remember : Multiplying negative integer by positive integer gives a negative integer.

⟼ [tex] \tt{ \frac{ - 48}{4} }[/tex]

Remember : Dividing negative integer by positive integer gives a negative integer.

⟼[tex] \sf{ \boxed{ - 12 }}[/tex]

[tex] \red{ \boxed{ \boxed{ \bold{ \purple{\tt{Our \: final \: answer : - 12}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♪

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]-12[/tex]

Step-by-step explanation:

Given that:

[tex]a=\frac{1}{4} \\b=6[/tex]

To evaluate the expression [tex]-8ab[/tex], we must simply substitute the given values into the expression, and solve:

[tex]-8(\frac{1}{4} )(6)[/tex]

Multiply [tex]-8[/tex] and 6:

[tex]-48*\frac{1}{4}[/tex]

Cross-cancel by dividing [tex]-48[/tex] and [tex]4[/tex] by [tex]4[/tex]:

[tex]-\frac{12}{1} *\frac{1}{1}[/tex]

Multiply:

[tex]-12[/tex]

Pls help and show workings
Pls, best get brainiest

Answers

Answer:

AB is 104

Step-by-step explanation:

In the given figure

CE bisects the segment AB

→ That means CE intersects AB at the midpoint of AB

∵ CE ∩ AB at point F

F is the midpoint of AB

→ The midpoint of a segment divides it into two equal parts

∵ The point F divides AB to FA and FB

FA = FB

∵ FA = 7x + 10

∵ FB = 9x - 2

→ Equate them

9x - 2 = 7x + 10

→ Add 2 to both sides

∵ 9x - 2 + 2 = 7x + 10 + 2

∴ 9x = 7x + 12

→ Subtract 7x from both sides

∵ 9x - 7x = 7x - 7x + 12

∴ 2x = 12

→ Divide both sides by 2

x = 6

→ Substitute the value of x in FA and FB

FA = 7(6) + 10 = 42 + 10 = 52

FB = 9(6) - 2 = 54 - 2 = 52

AB = FA + FB

∴ AB = 52 + 52 = 104

AB = 104

A shoe salesperson sold 20 pairs of shoes for $640. A brown pair of shoes sells for $30 and a black pair for $35. How many brown pairs were sold? A. 12 B. 14 C. 15 D. 8​

Answers

Answer:

12 pairs

Step-by-step explanation:

Represent Brown with B and Black with A

So:

[tex]A + B = 20[/tex] --- Pairs sold

[tex]30B + 35A = 640[/tex] --- Amount

Required

Solve for B (the brown pairs)

Make A the subject in the first equation

[tex]A = 20 - B[/tex]

Substitute 20 - B for A in the second

[tex]30B + 35(20-B) = 640[/tex]

Open bracket

[tex]30B + 700 - 35B = 640[/tex]

Collect Like Terms

[tex]30B - 35B = 640 -700[/tex]

[tex]-5B = -60[/tex]

Divide both sides by -5

[tex]B = \frac{-60}{-5}[/tex]

[tex]B =12[/tex]

HELP: Can a triangle have 2 right angles in it? EXPLAIN your answer.

Answers

Answer:

No

Step-by-step explanation:

Because of the fact that the sum of the three interior angles of a triangle must be 180 degrees, a triangle could not have two right angles.

Answer:

No it cannot

Step-by-step explanation:

the sum of the angles of the triangles has to be 180 so if you have two right angles then the last angle has to be 0 which is not possible

Evaluate the expression 8+3(20+5)

Answers

Answer:

83

Step-by-step explanation:

Solve using order of operations

First do the parentheses

8+3(20+5) -----> 8+3(25)

Then Multpily

8+3(25) -----> 8+75

Then add

8+75 =83

Please help me with this homework

Answers

Answer:

Rational

Step-by-step explanation:

The number comes to a stop (doesn't keep going), so it would be rational.

Answer:

3.5 is a rational number

Step-by-step explanation:

Irrational numbers are numbers that keep on going forever like pi (π). Or numbers like these.....[tex]\sqrt{72} , \sqrt{2} , \sqrt{\frac{8}{23} }[/tex]

Those are non-recurring numbers and non-terminating decimal numbers

Rational numbers are numbers that can be written as a simple fraction or ration, and 3.5 can be written as a simple fraction...

7/2 = improper fraction (3.5 as a decimal)

3 1/2 = mixed number (3.5 as a decimal)

Hope this helped!

two functions a and b are described as follows function a: y=8x+3 function b:the rate of change is 1 and the y intercept is 4 how much more is the rate of change of function abthan the slope of function b 1 7 8 9

Answers

Answer:

7

Step-by-step explanation:

rate of change of function not necessary mean linear, it can be the slope of a tangent line.

a: y=8x+3    slope = 8

b: rate of change: 1

8-1=7

I wish this is true...

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