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3 years ago

Express each of these system specifications using predicates, quantifiers, and logical connectives, if necessary.

Mathematics

1 answer:

Alja [10]3 years ago

6 0

Step-by-step explanation:

1. we have to write the system specifications as:

A(x,y) give us the meaning that the consule x can be accessed when y is in a faulty condition

∀y∃A(x,y)

2. B(x,y) shows that users email has sent a message, y. Which is in the archive. C(x) shows the email address of user x is retrievable

∀x∃y[B(x,y)→c(x)]

3. D(x,y) shows that x can detect breach y'' and we have E(z) that tells us there is a compromise of z

∀y∃xD(x,y)↔ ∃zE(z)

4. F(x,y,z)

Y and z are distinct point ends which x connects

We have,

∀y∀z∃x∃a[x ≠a →F(x,y,z)^F(a,y,z)

5. G(x,y)

X knowst the password of y' and H(x) means that we have x to be a system administrator

∀x[H(x)→∀yG(x,y)] ∃x[H(x)^∀yG(x,y)]

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3 years ago

Simplify the rational expression. State any restrictions on the variable n^4-11n^2+30/ n^4-7n^2+10

djyliett [7]

To factor both numerator and denominator in this rational expression we are going to substitute $n^{2}$ with $x$ ; so $n^{2} =x$ and $n ^{4} = x^{2}$ . This way we can rewrite the expression as follows:
$\frac{n^{4}-11n^{2} +30 }{n^{2}-7n^{2} +10 } = \frac{ x^{2} -11x+30}{ x^{2} -7x+10}$
Now we have two much easier to factor expressions of the form $a x^{2} +bx+c$ . For the numerator we need to find two numbers whose product is $c$ (30) and its sum $b$ (-11); those numbers are -5 and -6. $(-5)(-6)=30$ and $-5-6=-11$ .
Similarly, for the denominator those numbers are -2 and -5. $(-2)(-5)=10$ and $-2-5=-7$ . Now we can factor both numerator and denominator:
$\frac{ x^{2} -11x+30}{ x^{2} -7x+10} = \frac{(x-6)(x-5)}{(x-2)(x-5)}$
Notice that we have $(x-5)$ in both numerator and denominator, so we can cancel those out:
$\frac{x-6}{x-2}$
But remember than $x= n^{2}$ , so lets replace that to get back to our original variable:
$\frac{n^{2}-6 }{n^{2}-2 }$
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3 years ago

Read 2 more answers

Correct answers only please!

Novay_Z [31]

Answer:

D.) 7

Step-by-step explanation:

To calculate the check digit, multiply every even-position digit (when counted from the right) in the number by two. If the result is a two digit number, then add these digits together to make a single digit (this is called the digital root):

Odd numbers: (1.)= 8 (3.)= 4 (5.)= 6 (7.)= 0 (9.)= 4 (11.)= 6 (13.)= 2 (15.)=(1 + 6)= 7

Even numbers: (2.)= 3 (4.)= 8 (6.)= 1 (8.)= 3 (10.)= 6 (12.)=5 (14.)=0

To this total, we then add every odd-position digit:

Odd = 37

Even = 26

This will result in a total:

37 + 26 = 63

The check-digit is what number needs to be added to this total to make the next multiple of 10:

Next multiple of 10 is 70.

70 - 63 = 7

Answer:

Hope this helps : D

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Answer:

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Step-by-step explanation:

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