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kolbaska11 [484]
2 years ago
4

Let p:4 is an even integer. q:-5 is a negative prime number. Write each of the following statements in terms ofp, q, and logical

connectives: a. 4 is an even integer and-5 is a negative prime number. b. 4 is not an even integer and-5 is a negative prime number. c. If 4 is an even integer, then-5 is a negative prime number. d. 4 is an even integer if and only if-5 is a negative prime number. e. If 4 is not an even integer, then-5 is not a negative prime number 50 MATHEMATICS INTHE MODERN WORLD
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
7 0

Answer:

a. p \wedge q

b. \neg p \wedge q

c. p\Rightarrow q

d. p \Leftrightarrow q

e. \neg p \Rightarrow \neg q

Step-by-step explanation:

a. 4 is an even integer and -5 is a negative prime number, can be represented by: p \wedge q

b. 4 is not an even integer and-5 is a negative prime number, can be represented by: \neg p \wedge q

c. If 4 is an even integer, then-5 is a negative prime number, can be represented by: p\Rightarrow q

d. 4 is an even integer if and only if-5 is a negative prime number, can be represented by: p \Leftrightarrow q

e. If 4 is not an even integer, then-5 is not a negative prime number,  can be represented by: \neg p \Rightarrow \neg q

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9. The average diameter of an atom is 2 x 10-8 m. What if the average diameter of an atom was 1 cm? How tall would you be?
ozzi

Answer:

You'd be 2 * 10^{-6} times tall

Step-by-step explanation:

Given

Represent the previous and new diameter by D1 and D2;

D_1 = 2 * 10^{-8}m

D_2 = 1\ cm

To determine how tall you'd be, we need to divide D2 by D1;

Ratio = \frac{D_2}{D_1}

Substitute values for D2 and D1

Ratio = \frac{2 * 10^{-8}m}{1\ cm}

Convert cm to m

Ratio = \frac{2 * 10^{-8}m}{1 * 0.01\ m}

Ratio = \frac{2 * 10^{-8}m}{0.01\ m}

Convert denominator to exponents

Ratio = \frac{2 * 10^{-8}m}{10^{-2}\ m}

Ratio = \frac{2 * 10^{-8}}{10^{-2}}

Apply Law of indices

Ratio = 2 * 10^{-8} * 10^2

Ratio = 2 * 10^{-8+2}

Ratio = 2 * 10^{-6}

Hence;

<em>You'd be </em>2 * 10^{-6}<em> times tall</em>

4 0
2 years ago
Volume of a cylinder pi 3.14 d=2r h=6cm d=12cm
alex41 [277]

Answer:

V = 678.24cubic cm

Step-by-step explanation:

Volume of a cylinder

V = πr^2h

V - volume of a cylinder

π - pie

r - radius of a cylinder

h - height of a cylinder

Given:

π - 3.14

h - 6

d = 12

d = 2r

Divide both sides by 2

d/2 = 2r/2

d/2 = r

r = d/2

r = 12/2

r = 6

Insert the values into the formula

V = πr^2h

V = 3.14 * 6^2 * 6

= 3.14 * 36 * 6

= 678.24cubic cm

5 0
2 years ago
The cross section of rectangular prism A measures 3 units by 2 units. The cross section of triangular prism B has a base that me
mamaluj [8]

Answer:

Volume A= one third

Step-by-step explanation:

Use volume B

6 0
2 years ago
Your last five customer interactions lasted 2,3,6,8 and 4minutes how many minutes did i average across the 5
Phantasy [73]
So to find the avrage u r going to add all the numbers then divide by the nuber of nubers u have there  that will give u ur answer

5 0
2 years ago
Read 2 more answers
Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from​ B, a distance o
g100num [7]

Answer:

The value  is  k =109.6 \ miles

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  \theta_{BC} =  N 28.7E

   The bearing from B to  A is  \theta_{BA} =  N 60.7E

   The  bearing from A to  B is   \theta_{AB} =  S60.7W

    The  bearing from A to  C is   \theta_{AC} =  S79.1W

Generally from the diagram

     \theta_A  =  180 - 60.7 -79.1

=>  \theta_A  =  40.2 ^o

Also

     \theta_B  =  32^o

and  

      \theta_C  =  180 - (\theta_A  +\theta_B )

=>   \theta_C  =  180 - (40.2  + 32 )

=>   \theta_C  =  107.8 ^o

Generally according to Sine Rule

     \frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}

=>   \frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}    

So

     \frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}

=>  BC = 316.8 \ miles

Also  

    \frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}

    CA = 260 .1 \ miles

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      k = [CA +BC]  - AB

=>     k = [260 .1 +316.8]- 467.3

=>  k =109.6 \ miles

4 0
2 years ago
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