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Murljashka [212]
3 years ago
12

What is the slope of this line

Mathematics
2 answers:
BaLLatris [955]3 years ago
7 0
Slope=rise/run
basically it is the change in x divided by the change in y
change is x is left to right
change in y is up and down

if we pick 2 points
(1,2) and (2,2)
the chnage in x is 1 and the change in y is 0
slope=0/1=0
the slope is 0
Troyanec [42]3 years ago
4 0
The slope of this line is m=0









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Recall, we have five connectives in propositional logic ¬, ∧, ∨, →, ↔ (negation, conjunction, disjunction, conditional and bicon
Free_Kalibri [48]

Answer:

(a) ¬(p→¬q)

(b) ¬p→q

(c) ¬((p→q)→¬(q→p))

Step-by-step explanation

taking into account the truth table for the conditional connective:

<u>p | q | p→q </u>

T | T |   T    

T | F |   F    

F | T |   T    

F | F |   T    

(a) and (b) can be seen from truth tables:

for (a) <u>p∧q</u>:

<u>p | q | ¬q | p→¬q | ¬(p→¬q) | p∧q</u>

T | T |  F  |   F     |    T       |  T

T | F |  T  |  T      |    F       |  F

F | T |  F  |  T      |    F       |  F

F | F |  T  |  T      |    F       |  F

As they have the same truth table, they are equivalent.

In a similar manner, for (b) p∨q:

<u>p | q | ¬p | ¬p→q | p∨q</u>

T | T |  F  |   T     |    T    

T | F |  F  |   T     |    T    

F | T |  T  |   T     |    T    

F | F |  T  |   F     |    F    

again, the truth tables are the same.

For (c)p↔q, we have to remember that p ↔ q can be written as (p→q)∧(q→p). By replacing p with (p→q) and q with (q→p) in the answer for part (a) we can change the ∧ connector to an equivalent using ¬ and →. Doing this we get ¬((p→q)→¬(q→p))

4 0
3 years ago
The median size of a new single family home grew from 1727 ft^2 in 1996 to 2129 ft^2 in 2009. What is the percent of increase?
pishuonlain [190]
(2129-1727)/1727=0.232
The percentage of increase is 23%.
6 0
3 years ago
What is the mean of 35,40,12,16,25,10
grandymaker [24]
Answer is in attachment below.

7 0
3 years ago
Read 2 more answers
Verify that - (-x) = r for<br><br>(1). x =2/15<br><br>(2).x=-13/17​
Art [367]

Answer:

1.-(-2/15)=2/15

2.-(-13/17)=13/17

Step-by-step explanation:

7 0
3 years ago
The volume of a sphere is 972π ft³.
vladimir1956 [14]

Answer: 9 feet.

Step-by-step explanation:

Let the radius of the sphere = x feet

Therefore, the volume of the sphere = \frac{4}{3} \pi x^3

But, According to the question,

The volume of the sphere = 972\pi \text{ cubic feet }

⇒ \frac{4}{3} \pi x^3 = 972\pi

⇒ x^3 = 972\times \frac{3}{4}

⇒  x^3 = \frac{2916}{4}

⇒  x^3 = 729

⇒ x =9

Thus, the radius of the sphere = 9 feet

5 0
3 years ago
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