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Digiron [165]
3 years ago
14

definition of implication: why does P(x) v Q(x) become ~Q(x) -> P(x) rather than ~P(x) -> Q(x)?

Mathematics
1 answer:
insens350 [35]3 years ago
6 0
The easiest way to prove equivalence is to draw out a truth table and then compare the values. I'm going to show a truth table using proposition logic, it's the same result as using predicate logic. 
P(x) v Q(x)

P |Q || PvQ  || ~Q->P  <----Notice how this column matches the PvQ but if you were to 
---|---||--------||----------  <----continue the truth table with ~P->Q it would not be equivalent
T   T      T           T   
T   F      T           T
F   T      T           T
F   F      F           F

Let me know if you would like an example, if the truth table doesn't help. 
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3 x 22 + 7 x 41 - 24 = n
ira [324]
The answer to 3 x 22 + 7 x 41 - 24= n is 329
8 0
3 years ago
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The figures show the dimensions of a tennis court and a basketball court given in terms of the width in feet of the tennis court
Sholpan [36]

Answer:

a.  Perimeter of the tennis court = 6x + 12

Perimeter of the Basketball court = 7x + 36

b.  x + 24

c.  Length of the tennis court = 78 feet

Width of the tennis court = 36 feet

Length of the Basketball court = 94 feet

Width of the Basketball court = 50 feet

Step-by-step explanation:

a.  Perimeter of the rectangle = 2(length + width)

So, perimeter of the tennis court = 2[(2x + 6) + x]

= 2(3x + 6)

= 6x + 12

Perimeter of the Basketball court = 2[(3x - 14)+(\frac{1}{2}x + 32)]

= 6x - 28 + x + 64

= 7x + 36


b.  Perimeter of the Basketball court - perimeter of the tennis court

= (7x + 36) - (6x + 12)

= 7x + 36 - 6x - 12

= x + 24

So, perimeter of the basketball court is x + 24 feet greater than that of the tennis court


c.  It is given that the width of the tennis court = 36 feet

But, from the figure,

width of the tennis court = x

So, x = 36

Therefore, length of the tennis court = 2x + 6

= 2(36) + 6

= 72 + 6

= 78 feet

Width of the tennis court = x = 36 feet

Length of the basketball court = 3x - 14

= 3(36) - 14

= 108 - 14

= 94 feet

Width of the basketball court = \frac{1}{2} x+32

=\frac{1}{2} (36)+32

= 18 + 32

= 50 feet

7 0
3 years ago
I will give brainliest to the person who answers all questions
stellarik [79]

Answer: Hope this helps!

Left to right - Q1 - Q5

1,500, 1,250, 0.25, 105, 25%

Step-by-step explanation:

Q1 - 15,000 * 0.02 * 5 = 1,500

Q2 - 25,000 * 0.01 * 5 = 1,250

Q3 - 20 - ((6 * 1) + (3 * 0.75) + (10 * 0.35) + (4 * 2)) = 0.25, 25 cents

Q4 - 30x + 1,000 = 4,200 (X = 107) Approximately 105 jobs

Q5 - 1,584 / (32 * 66) = 0.75 (75%) 100% - 75% = 25%

4 0
2 years ago
Read 2 more answers
Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c= 81,000 km. Assume the cen
elena-14-01-66 [18.8K]

Answer:

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

Step-by-step explanation:

the transverse axis is horizontal.

so its a horizontal hyperbola

Center is the origin so center is (0,0)

Equation of horizontal hyperbola is

\frac{x^2}{a^2} - \frac{y^2}{b^2} =1

Given a= 55000 and c= 81000

c^2 = a^2 + b^2

81000^2 = 55000^2 + b^2

subtract 55000^2 on both sides

b  = sqrt(81000^2 - 55000^2)= 59464.27

now plug in the values

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

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3 years ago
Three equal sides are each 4 cm in length and the has no right angles what is it
Trava [24]
THE ANSWER IS
TRIANGLE

7 0
3 years ago
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