For each of the following propositions, identify simple propositions, express the compound proposition in symbolic form, and determine whether it is true or false: The world is flat or zero is an even integer. If 432,802 is a multiple of 4, then 432,802 is even. 5 is a prime number and 6 is not divisible by 4. 3 ∈ Z and 3 ∈ Q . 2 / 3 ∈ Z and 2 / 3 ∈ Q . The sum of two even integers is even and the sum of two odd integers is odd.

Answers

Answer 1

Answer:

a) True

b) True

c) True

d) True

e) False

f) False

Step-by-step explanation:

a) The world is flat or Zero is an even Integer

simple proposition : it is a compound interestexpressing compound proposition in symbolic form : p v q  ;  where p = world is flat and q = Zero is an integerIt is a true statement

B )  If 432,802 is a multiple of 4, then 432,802 is even

simple proposition : It is a compound statement expressing compound proposition in symbolic form : p ⇒ q  ; where p = 432,802 is a multiple of 4  and q = 432,802 is evenp         q      p ⇒ q      hence statement is true

       F          T        T

C)  5 is a prime number and 6 is not divisible by 4

simple proposition : it is a compound statementsymbolic form ; p ∧ q

where p = 5 is a prime number  and q =  6 is not divisible by 4

statement is true

D)  3 ∈ Z and 3 ∈ Q

simple proposition : it is a compound statementsymbolic form :  p ∧ q

where p =  3 ∈ Z   and q = 3 ∈ Q

statement is true

E)  2 / 3 ∈ Z and 2 / 3 ∈ Q

simple proposition : It is a compound statementsymbolic form :  p ∧ q

where  p =  2 / 3 ∈ Z ( false )   and q = 2 / 3 ∈ Q ( true ) hence p ∧ q = false

statement is false

F) The sum of two even integers is even and the sum of two odd integers is odd.

simple proposition : It is a compound statementsymbolic form : p ∧ q

where  p = The sum of two even integers is even and q = the sum of two odd integers is odd.

statement is false


Related Questions

pls help 20 points I just need an explanation ​

Answers

Answer:

i=prt

i = 1,000 x 0.045 x 1.5

Step-by-step explanation:

Find the perimeter of the following shape:

Answers

Answer:

P = 13 + 13 + 10

P = 36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

you add up all the side lengths because that’s what perimeter is. 13+13+10, equals 36!

Solve the inequality.


9p ≥ −72

Answers

Answer:

yes

Step-by-step explanation:

because of math,

Step-by-step explanation:

[tex] p\geqslant - 8[/tex]

ANSWER ASAP PLEASE!! CORRECT ANSWER WILL GET BRAINLIEST!

Professor Duncan decided to use a curve to grade a recent test. The lowest score out of 100 was 35 and the highest score was 65. He used the function n(g)=1.2g+3, where n(g) is the curved test score and g is the original test score. Which is the range of the curved test scores?

A. 35 to 65
B. 42 to 78
C. 45 to 81
D. 46 to 82

Answers

Answer:

C

Step-by-step explanation:

Hope it helps!!

for item 6 which pair of words is the odd one out​

Answers

Answer:

A odd # is 3.5.7 and etc such that you have odd numbers

a lot of points for who gets this right!
mary drew a graph which showed how much money she made throughout a garage sale where on the graph would you find the initial amount that was in the box

Answers

Answer:

on the end of the graph (5,10)

Step-by-step explanation:

hope that

What is the percent of change? Round to the nearest whole percent if necessary. Is the percent of change an increase or decrease? 100 to 150

Answers

Answer:

1)increase

2)50%

Explanation:

Use the formula↓

(y2 - y1) / y1)*100

(150 - 100) / 100) * 100 = 50 %

y1= first value

y2= second value

Find the missing length indicated. Leave your answer in simplest radical form.
Please help! Thank you!

Answers

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

   [tex]\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}[/tex]

   56x = (18√14)²

   56x = 4536

   x = [tex]\frac{4536}{56}[/tex]

   x = 81

2). By applying geometric mean theorem,

    [tex]\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}[/tex]

    16x = (8√21)²

    16x = 1344

    x = [tex]\frac{1344}{16}[/tex]

   x = 84

The sum of all the solutions of the equation (6x+k)(3x-11)=0 is 1. Find K

BRANLIEST PLUS 20 POINTS

Answers

Answer:

16

Step-by-step explanation:

6x+k = 0

x = -k/6

3x-11 = 0

x = 11/3

-k/6 + 11/3 = 1

k - 22 = -6

k = 16

The value of k is "8".

Find K:

[tex](6x+k)(3x-11)=0\ \ is \ \ 1 \\\\K=?[/tex]

[tex]\to (6x+k)(3x-11)=0 \ \ is \ \ 1 \\\\\to (6x+k)=0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ (3x-11)=0\\\\\to 6x=-k\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x=11\\\\\to x=-\frac{k}{6}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=\frac{11}{3}\\\\[/tex]

[tex]\to - \frac{k}{6}+ \frac{11}{3}=1\\\\\to \frac{-2k+ 22}{6}=1\\\\\to -2k+ 22=6\\\\\to -2k =6-22\\\\\to -2k =-16\\\\\to k=\frac{16}{2}\\\\\to k=8[/tex]

Therefore, the final value of k is "8".

Learn more about the find k here:

brainly.com/question/20041760

Every month, $45 is withdrawn from tom's savings account to pay his gym membership. He has enough savings to withdraw no more than $360. For how many months can Tom pay for his gym membership?

Answers

Answer: 8 months.

Step-by-step explanation: Assuming his budget for the gym membership is $360, by dividing 360 (His budget) by the monthly cost of 45, it should leave a quotient of 8. Thus meaning he can pay for 8 months worth of gym membership.

Answer:

8 mounths

Step-by-step explanation:

Since he has $360 saved and he has to pay $45 for each month that means that in order to find out for how many months Tom can go to the jym we just have to divide 260 by 45 and so be get...

360 / 45 = 8

Please help!!!!!
(50 points)

Answers

It’s number two I think not sure if it’s right though

Answer:Hope this helps

Step-by-step explanation:

Suppose restaurant​ A's chicken salad contains 6more grams of fat than restaurant​ B's chicken salad. Find the number of grams of fat in each salad if there are 56grams of fat in the two salads by solving the equation x plus (x plus 6 )equals 56​,where xrepresents the number of fat grams in the restaurant​ B's chicken salad and x plus 6represents the number of fat grams in restaurant​ A's chicken salad.

Answers

Answer:

Restaurant A: 31 grams of fat

Restaurant B: 25 grams of fat

Step-by-step explanation:

[tex]x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25[/tex]

What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?

Answers

Answer:

$549

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 3050 × 0.06 × 3 = 549

I = $ 549.00

The simple interest accumulated

on a principal of $ 3,050.00

at a rate of 6% per year

for 3 years is $ 549.00.

Answer:

I’m pretty sure 549

Step-by-step explanation:

Pattern A and B both start at 0. Which statement about the patterns is true?
-----------------------------------------------------------
Pattern A{0}{6}{12}{18}{24}{30}
Pattern B{0}{2}{4}{6}{8}{10}
-----------------------------------------------------------
A.) Each term in Pattern A is 3 times its corresponding term in Pattern B.

B.)Each term in Pattern A is 6 times its corresponding term in Pattern B.

C.) Each term in Pattern A is 8 more than its corresponding term in Pattern B.

D.) Each term in Pattern A is 4 more than ots corresponding term in Pattern B.​

Answers

Answer:

I just did a test the correct answer is c

Step-by-step explanation:

The correct answer is C: Each term in Pattern A is 8 more than its corresponding term in Pattern B.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Pattern A{0}{6}{12}{18}{24}{30}

Pattern B{0}{2}{4}{6}{8}{10}

The first term in Pattern A is 0, while the first term in Pattern B is also 0. The second term in Pattern A is 6, while the second term in Pattern B is 2.

The third term in Pattern A is 12, while the third term in Pattern B is 4. We can see that each term in Pattern A is 8 more than its corresponding term in Pattern B.

Therefore, the correct answer is C: Each term in Pattern A is 8 more than its corresponding term in Pattern B.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ2

What is an equation of the line that passes through the points (-7, -7)and (-7, 4)?

Answers

Answer:

It is 7 because it both has the same answer

Answer:

Hi! The correct answer is x= -7

Step-by-step explanation:

Use the slope formula and slope-intercept form y = mx + b to find the equation.


Please help! Will make brainliest !!

Answers

Answer:

5: 40.6

6: 26.57

7: 22.21

8: 66.35

Step-by-step explanation:

I am going to assume that you know

SOH CAH TOA (if you don't just ask)

For 5: we have the adjacent and opposite side, we need the angle

I think here it's easiest to use TOA

so we have

tanx=60/70

take the arctan or tan^-1 and get

arctan(60/70)=x x= 40.6

For number 6 it's just the same deal

tanx=10/20

arctan(10/20) =x =26.57

For number 7 we have the adjacent side and we need to find the oppsoite side

for this I will once again use TOA

tan(48)=x/20

20tan(48)=x=22.21

For number 8 it's the same deal as 7

tan53=x/50

50tan53=x=66.35

Can someone please help me on this???I keep messing it up.

Answers

Answer:

The answer is B

Step-by-step explanation

As it shows in the table each week the amount adds to 75$. in the table it only shows 4 weeks amount. and the question asks you whats the amount going to be in the 7th week . the amount will be 825.

Siyoni, Adam and Ben share some money in the ratio 5:3:4 In total, Adam and Ben receive $84 Work out how much they cach get. (help me i’ll give brainliest!)

Answers

Since they share 5:3:4 ratio of the money, and receive $84, then they will each get $29.7.

You take $84, then multiply it by the square of 2, and then you divide it by 4.25 8ths, and then you take 8ths, and subtract it by 7.284, and you will get $29.7. Your welcome :)

Answer two questions about Systems AAA and BBB: System AAA \text{\quad}start text, end text System BBB \begin{cases}5x+y=3\\\\4x-7y=8\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 5x+y=3 4x−7y=8 ​ \begin{cases}5x+y=3\\\\x+8y=-5\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 5x+y=3 x+8y=−5 ​ 1) How can we get System BBB from System AAA?

Answers

Answer:

First One is C and the second one is A

Step-by-step explanation:

I got it wrong then found out the answers

Systems of equations are collection of multiple equations

We can get system B from system A by: subtracting both equations in system A and by bringing the first equation of system A

The systems of equations are given as:

System A

5x + y = 3

4x - 7y = 8

System B

5x + y = 3

x + 8y= -5

Subtract 4x - 7y = 8 from 5x + y = 3

So, we have:

[tex]\mathbf{5x - 4x + y+7y = 3 - 8}[/tex]

[tex]\mathbf{x + 8y =- 5}[/tex]

This means that, we can get system B from system A by:

Subtracting both equations in system AAnd by rewriting the first equation of system A

Read more about systems of equations at:

https://brainly.com/question/12895249

Using a standard deck of 52 cards, what is the probability of getting 2 cards that are kings if you pull one card at a time and replace them? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)
A. 12
B. 1/169
C. 11 1/8
D. 60%
E. 0.5
F. 2/112
G. 25%
H. 0.25
I. 25

Answers

Answer:

i dont knw

Step-by-step explanation:

Answer:

B,C,D

Step-by-step explanation:

I'm not honestly sure I'm sorry if it's wrong

Solve.



log6x+log6(x−1)=1



Enter your answer in the box.

x = ?

Answers

Answer:

7

Step-by-step explanation:

hhfndbdbdbueheheheheheheh

A particle moves along the x-axis so that at time t≥0t\ge 0t≥0 its position is given by x(t)=−t3+6t2−9t+42.x(t)=-t^3+6t^2-9t+42.x(t)=−t3+6t2−9t+42. Determine the total distance traveled by the particle from 0≤t≤4.0\le t \le 4.0≤t≤4.

Answers

Answer: 4 units

Step-by-step explanation:

The given position function: [tex]x(t)=-t^3+6t^2-9t+42.[/tex], where t≥0.

To determine:  Total distance traveled by the particle from 0≤ t ≤ 4.0.

At t=0,

[tex]x(0)=-(0)^3+6(0)^2-9(0)+42=42\\[/tex]

At, t=4,

[tex]x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38[/tex]

Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units

= 4 units

Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.

Please answer quickly Thank You

Answers

Answer:

find and interpret the value of × so that t(×) = 114.

The area of a triangular church window is 90 square meters. The base of the window is 15 meters. What is the window’s height?

Answers

Answer:

12 is the answer

Step-by-step explanation:

find the length of side AB and the measure of angle E.

Answers

Answer:

c

Step-by-step explanation:

The segments shown below could form a triangle.
А
C
8
11
A
9
9
C
B
O A. True
B. False

Answers

I think your correct
Sorry if I’m wrong
true is the answer, ur welcome:)

Suppose Anthony Ianni attempted 18 baskets in a basketball game. If the ratio of baskets made to baskets missed is 1:5, how many baskets did Ianni make?

Answers

Answer:

Number of baskets Lanni make = 3 basket

Step-by-step explanation:

Given:

Total attempt = 18 times

Ratio(Basket make : Basket missed) = 1:5

Find:

Number of baskets Lanni make

Computation:

Number of baskets Lanni make = Total attempt x [Basket make ratio]

Number of baskets Lanni make = 18 x [1/(1+5)]

Number of baskets Lanni make = 3 basket

Joanie has 15 hair ribbons. She has 7 less hair ribbons than her friend, Sara. Which equation
can be used to determine the number of hair ribbons Sara has, s?
S-7 = 15
7 - S =15
7s = 15
S + 7 = 15

Answers

S+7=15 is correct I believe

Black skin color is dominant to pink skin color in pigs. Two heterozygous black pigs are crossed. a. What is the probability that their offspring will have pink skin? b. What is the probability that the first and second off- spring will have black skin? c. If these pigs produce a total of three piglets, what is the probability that two will be pink and one will be black?

Answers

Answer:

[tex]P(Pink) = \frac{1}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

[tex]Probability = \frac{3}{64}[/tex] --- Two pink and One black

Step-by-step explanation:

Represent the pink skin with P and the black skin with B.

Since black skin is dominant to pink skin, there will be more occurrence of B than P

The punnet square for the breeding of the two pigs is then represented as:

[tex]\begin{array}{cc} {B} & {B} \ \\ {B} & {P} \ \ \end{array}[/tex]

Solving (a): Probability of Pink

In the above square, there is only 1 occurrence of P out of a possible of 4.

So, the probability is:

[tex]P(Pink) = \frac{n(P)}{4}[/tex]

[tex]P(Pink) = \frac{1}{4}[/tex]

Solving (b): Probability that first and second are black

In the above square, there is only 3 occurrence of B out of a possible of 4.

[tex]P(Black) = \frac{n(B)}{4}[/tex]

[tex]P(Black) = \frac{3}{4}[/tex]

So, the probability that both are black is:

[tex]P(Both\ Black) = P(Black) * P(Black)[/tex]

[tex]P(Both\ Black) = \frac{3}{4} * \frac{3}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

Solving (c): Probability of two pink and 1 black

This is calculated as:

[tex]Probability = P(Pink) * P(Pink) * P(Black)[/tex]

[tex]Probability = \frac{1}{4} * \frac{1}{4} * \frac{3}{4}[/tex]

[tex]Probability = \frac{3}{64}[/tex]

A) The probability that their offspring will have pink skin is; ¹/₄

B) The probability that the first and second off- spring will have black skin is;

9/16  or 56.25%

C) The probability that two will be pink and one will be black  If the pigs produce a total of three piglets is; ³/₆₄ or 4.6875%

Mendel's law of dominance

To answer this question, we need to first understand Mendel's law of dominance. This law states that in a heterozygote, one trait will conceal the presence of another trait for the same characteristic. This means that the dominant trait always conceal the recessive trait.

Now in this question, we are told that;

black skin colour is dominant to Pink skin colour in pigs.

Let's denote the black color gene by ‘P’ and pink colour by ‘p’. Therefore, if cross is held between these two genes then according to mendel's law, the heterozygous pigs is specified as "Pp"

Now when the heterozygous pigs specified as "Pp" are crossed, we have;

Pp × Pp = PP, Pp, Pp, pp

where;

PP and Pp denotes black pigs is denoted pp denotes pink pigs

(a) From the 4 cross possibilities above;

Probability that their offspring will have pink skin = ¹/₄

(b) From the 4 cross possibilities gotten earlier;

Probability that their offspring will have black skin = ³/₄

Thus;

Probability that the first and second off- spring will have black skin is;

³/₄ × ³/₄ = 9/16  or 56.25%

(c) We are told that the pigs produced a total of three piglet. Thus, the probability that two will be pink and one black will be black is;

P(2 pink and 1 black) =   ¹/₄ × ¹/₄ × ³/₄ = ³/₆₄ or 4.6875%

Read more about Mendel's law of dominance at; https://brainly.com/question/14436268

Find the solution of the system of equations.
4x – 2y = -6
x + 4y = -24

Answers

Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

-18y = 90

y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4

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