Given:
p: x is prime.
q: x is even.
What is the truth value of p^q when x is replaced by 2?

Given:p: X Is Prime.q: X Is Even.What Is The Truth Value Of P^q When X Is Replaced By 2?

Answers

Answer 1
ExplanationTruth Value for p ^ q

Here is the easy way to memorise the truth value of p ^ q.

p ^ q will be true only if p and q both are true. Otherwise, false.

Back to question

Given p = x is prime and q = x is even. If we replace x by 2 then we would get

p = 2 is prime

q = 2 is even

The statement for p and q both are true because 2 only has two factors which are only 1 and 2 itself. 2 is also considered an even number (2,4,6,8,...)

Since p = true and q = true then p and q = p^q = true and true = T/True

Answer

The second choice. p^q is True


Related Questions

What is the value of the function y=3x – 1 when x = -1​

Answers

Answer:

y= -4

Step-by-step explanation:

y=3x-1

y=3(-1)-1

y=-3-1

y= -4

please help!! i don’t understand how to do this

Answers

Answer: A is the right angle

Step-by-step explanation:

a. 20^2 + 15^2 = 25^2

400 + 225 = 625

625 = 625

hope this helps :)

the number 4 was thrown 7 times in the first 50 throws. Using this fact, calculate how many times you would expect 4 to be thrown when this dice is thrown 3000 times?

will mark brainliest

Answers

Answer:

67

Step-by-step explanation:

I THINK THIS IS THE ANSWER

One smartphone plan costs $30 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $60 per month for talk and messaging and $3 per gigabyte of data used each month. How many gigabytes would have to be used for the plans to cost the same? What would that cost be?

Answers

30 + 8G = 60 + 3G , G = 6

Chec
Match each data relationship with a type of correlation.

Answers

I've attached an image showing the data relationship.

Answer:

1) y does not change based on changes in x: no-correlation

2) y tends to increase as x increases: positive correlation

3) y tends to decrease as x increases: negative correlation

Step-by-step explanation:

1) y does not change based on changes in x: This means that there is no correlation between y and x since change in x doesn't affect y.

2) y tends to increase as x increases: This implies positive correlation because the output increases with increase in input.

3) y tends to decrease as x increases: This implies negative correlation because the output decreases with increase in input values.

Answer:

y tends to decrease as x increases: negative!

y tends to increase as x decreases: positive!

y does not change based on changes in x: no correlation!

Step-by-step explanation:

:))

54 is divided by the sum if 5 and x the result is 3 find x

Answers

Answer:

x = 13

Step-by-step explanation:

54 divided by (13 + 5) = 3

Answer:

x = 13

Step-by-step explanation:

when outliers are removed, how does the mean change?​

Answers

I just checked with a calculator, and the mean stays the same.

So the answer is the first option! :D

Help I need an awnser

Answers

Answer:

x=1

Step-by-step explanation:

Distribute 5/8 to x and -1/3 which will result you in 5/8x - 5/24

The equation now looks like this:

5/8x - 5/24= 5/12

Move -5/24 to the other side by adding 5/24 on both sides

5/8x - 5/24 + 5/24 = 5/12+5/24

(Multiply 2 and 5/12 on both the numerator and denominator which will result you to 10/12 add 5/24 which is 15/24)

Result:

5/8x=15/24

Multiply by 8/5 on both sides:

x=1

On a field trip, there are 3 chaperones for every 20 students. There are 92 people on the trip.
How many chaperones are there?
How many children are there?

Answers

12 chaperones , 80 children

NEED HELP ASAPPP PLEASEEE

The following two-way table shows the distribution of high school students categorized by their grade level and book-type preference.

A 4-column table with 3 rows. Column 1 has entries junior, sophomore, total. Column 2 is labeled fiction with entries 20, 26, 46. Column 3 is labeled nonfiction with entries 22, 13, 35. Column 4 is labeled Total with entries 42, 39, 81. The columns are titled book-type preference and the rows are titled grade level.

Suppose a high school student is selected at random. Let event A = junior and event B = fiction. Are events A and B independent?

Yes, P(A) = P(A|B).
Yes, P(A) = P(B|A).
No, P(A) ≠ P(A|B).
No, P(A) ≠ P(B|A).

Answers

Answer:

No, P(A) ≠ P(A|B)

Step-by-step explanation:

Condition must be held in order to two events be independent of each other:

[tex]P(A B) = P(A)P(B) => P(A) = P(A|B)\\Or\\P(B) = P(B|A)[/tex]

[tex]P(A)=\frac{42}{81}\\P(B) =\frac{46}{81}\\P(A B) = \frac{20}{81}\\P(A|B) =\frac{P(A B)}{P(B)} = \frac{20}{46} \neq P(A) => P(AB) = \frac{20}{81} \neq P(A)P(B) = \frac{23}{81}\\\\P(B|A)=\frac{P(AB)}{P(A)}=\frac{20}{42} \neq P(B) => P(AB) = \frac{20}{81} \neq P(A)P(B)= \frac{23}{81}\\\\[/tex]

Note: (AB) means (A ∩ B)

The probability of P(A) is not equal to the probability of P(A|B) option third No, P(A) ≠ P(A|B) is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Two events must be independent of each other, condition must be maintained:

P(A and B) = P(A) × P(B)

The probability:

P(A) = 42/81

P(B) = 46/81

P(AB) = 20/81

P(A|B) = P(AB)/P(B) = 20/46 ≠ P(A) = 20/81 ≠ P(A)P(B) = 23/81

P(B|A) = P(AB)/P(A) = 20/42 ≠ P(B) = 20/81 ≠ P(A)P(B) = 23/81

Thus, the probability of P(A) is not equal to the probability of P(A|B) option third No, P(A) ≠ P(A|B) is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Find the slope line (- 6, 1), (4, 8)

Answers

Answer:

The slope is [tex] \frac{7}{10} [/tex]

Step-by-step explanation:

☆Remember:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆We just plug in now!

[tex]m = \frac{8 - 1}{4 - ( - 6)} = \frac{7}{10} [/tex]

Which equation models the statement shown?

y varies directly with x and y = 25 when r = 5.

Answers

Answer:

xy=5

Step-by-step explanation:

from the question, y varies directly with x and y

Then y ∝ xy

If we introduce proportionality sign we have

y=r xy

Where r= proportionality constant

Then if we substitute the given values

y = 25 when r = 5.

We have

y=r xy

25=5xy

Divide both sides by 5

xy=25/5

xy=5

Hence, equation that models the statement is xy=5

-3+7x-9+8x=54 what are the steps to solve this problem

Answers

Answer x=22/5 or 4.4

Step-by-step explanation:

1. Combine like terms

15x-12=54

2. Add 12 to both sides

15x=66

3. Divide both sides by 15

15x/15=66/15

4. x=22/5 or 4.4

9514 1404 393

Answer:

  x = 4.4

Step-by-step explanation:

This equation has x-terms on one side of the equal sign and constants on both sides.

First, collect terms.

  15x -12 = 54

Then add the opposite of the constant that is on the same side as the x-term.

  15x = 66

Now, divide by the coefficient of x.

  x = 66/15 = 22/5

  x = 4.4

__

Check

  -3 +7(4.4) -9 +8(4.4) = 54

  -3 + 30.8 -9 +35.2 = 54 . . . . true

Expand.
Your answer should be a polynomial in standard form.
(3a^2 – 1)(-3a² + 5) =

Answers

Answer:-9a^4+18a^2-5

(3a  

2

−1)(−3a  

2

+5)

=3a  

2

(−3a  

2

+5)−1(−3a  

2

+5)

​  

​  

 

=−9a  

4

+15a  

2

+3a  

2

−5

=−9a  

4

+18a  

2

−5

​  

Can someone please help #2

Answers

Answer: x^15

Step-by-step explanation:

You multiply 5 times 3

Help me with this pks

Answers

Answer:

f=4

Step-by-step explanation:

-11f = 7(1-2f)+5

step 1 distribute what is outside of the parenthesis to the inside of the parenthesis

-11f=7-14f+5

step 2 combine like terms

-11f=12-14f

step 3 add 14 to each side

3f=12

step 4 divide each side by 3

f=4

pls help! will mark brainliest!! Given isosceles trapezoid ABCD with AB=CD, BY=10.3, and AC=17.2. find YD

Answers

Answer:

YD=6.9

Step-by-step explanation:

In an isosceles trapezoid both diagonals have an equal length. Given this, since diagonal AC is equal to 17.2, diagonal BD must be equal to 17.2. Diagonal BD is made up of segments BY and YD, so the lengths of BY and YD must add to equal 17.2. Since BY is 10.3, the equation YD+10.3=17.2 can be used to find the value of YD. To solve this, subtract 10.3 from both sides of the equation to find that YD is equal to 6.9.

I need help ASAP pls show ur work and ty

Answers

Answer:

Step-by-step explanation:

x + 0.7 = 1 - 0.2x

Add 0.2x to both sides

x + 0.2x + 0.7 = 1 - 0.2x + 0.2x

1.2x + 0.7 = 1

Subtract 0.7 from both sides:

1.2x + 0.7 - 0.7 = 1 - 0.7

1.2x = 0.3

Divide both sides by 1.2:

1.2x/1.2 = 0.3/1.2

x = 0.25

Answer:

X=0.25

Step-by-step explanation: x + 0.7 = 1 - 0.2x

Add 0.2x to both sides

x + 0.2x + 0.7 = 1 - 0.2x + 0.2x

1.2x + 0.7 = 1

Subtract 0.7 from both sides:

1.2x + 0.7 - 0.7 = 1 - 0.7

1.2x = 0.3

Divide both sides by 1.2:

1.2x/1.2 = 0.3/1.2

x = 0.25

What is the measure of x and y?

Answers

Answer:

x=80 and y=30

Step-by-step explanation:

HOPE THAT HELPS!!!!!!!

Which best describes the figure that is represented by the following coordinaton?
A(-3, 4), 8 (3, 4), (3,-2) and D(-3,-2)

Answers

Answer:

im pretty sure its c

Step-by-step explanation:

A pound is equal to 0.454 kilograms, how many kilograms does a 142-pound man weigh

Answers

Answer:

64.468

Step-by-step explanation:

Answer: 64.468 kilograms

Step-by-step explanation:

Oren is a wheelchair athlete competing in a 100-meter race.
His coach tracks his progress in the table below. The coach plans to
make a graph using these points. What will be the slope of the line?
What does the slope represent? Show your work.

Answers

Answer:

ok 120

Step-by-step explanation:

You buy bananas and strawberries in the ratio of 3 : 4. Choose the expression for the number of bananas you buy when you buy n strawberries.

ANSWER: 3/4n

Answers

Answer:

[tex]\dfrac{3}{4}n[/tex]

Step-by-step explanation:

The ratio of bananas to strawberries is 3:4.

That means for every 3 bananas you buy, you buy 4 strawberries.

That also means that for every 4 strawberries you buy, you buy 3 bananas.

The number of bananas you buy is 3/4 of the number of strawberries you buy.

If you buy n strawberries, then the number of bananas you buy is

[tex]\dfrac{3}{4}n[/tex]

guys i at school rn and need help please thank xoxo

Answers

Answer:

Step-by-step explanation:

1. 30$ 2. 5$ 3. 60$ 4. 45$   trust

Please help me I'm failing...

Answers

Answer:

20,000

Decay

8%

Step-by-step explanation:

The inital value is the value at time = 0

The equation represents decay which is shown because as t approaches infinity the equation equals 0

It changes by 8 percent (1-.92)

If you have any questions please let me know.

Answer:

Initial value at t=0 is 20,000

Function represent decay with time

Changing 8%/year

Step-by-step explanation:

[tex]v(o)=20000(0.92)^{0}=20000[/tex]

Please help! And 20 points! :3
I need help with these 3 questions-
-3-||

Answers

Answer:

18. Its 2 meters.

19. Its 0.2 grams

20. Its 1,920

Step-by-step explanation:

When you convert 200 centimeters to meters its 2.

When you convert 2,000 milligrams in grams its 0.2

15% of 12, 800 is 1,920

Hope this helps:)

A spherical ball just fits inside a cylindrical can that is 10 centimeters tall, with a diameter of 10 centimeters. Which expression gives the volume of the sphere, in cubic centimeters?

Answers

Step-by-step explanation:

Volume:

[tex]volume \: of \: a\: sphere = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \pi( {5)}^{3} [/tex]

(PLZ HELP) Determine if the table represents a proportional relationship. If so, write the equation for the function in the form y=mx.

Answers

Answer:

it is and y=4x

(i'm pretty tired so I can't include an explanation.)

Answer:

Yes it's a proportional relationship

Step-by-step explanation:

0x4=0

2x4=8

4x4=16

6x4=24

8x4=32

ill give a brainest no cap plz actually help

Answers

Step-by-step explanation:

Amount borrowed=400

interest rate=4%

Amount of interest after x years =0.04XxX400=$16x

Total to be paid back=400+0.04XxX400=400+16(1)

1) the amount of interest.if Franco pays back the loan in x=1 years is

16x1=$16

2) the amount of interest,if Franco pay back the loan in x=2 years is,

16x2=$32

3) the amount of franco will pay the lender after 2 years will be

400+(16x2)=400+32=$432

!?!?!?!?!?!?!?!?!?!?!?!?!?!?

Answers

Answer:

[tex]2 \sqrt{ - 2 } [/tex]

maybe?

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