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Virty [35]
3 years ago
5

Evaluate x + y when x = - 18.2 and y = 3.6

Mathematics
2 answers:
Tju [1.3M]3 years ago
8 0

- 18.2 + 3.6 = - 14.6

Contact [7]3 years ago
3 0
-18.2 + 3.6= -14.6 is the answer to the question
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Determine whether the statements in (a) and (b) are logically equivalent.
Andru [333]

Answer:

The two statements are logically equivalent.

Step-by-step explanation:

Let X be the statement that Bob is a double math and computer science major.

Y be the statement that Ann is a maths major.

Z be the statement that Ann is a double maths and computer science major.

The two statements written in terms of X, Y and Z now

a. Bob is a double math and computer science major and Ann is a math major, but Ann is not a double math and computer science major.

(x and y) and not z

b. It is not the case that both Bob and Ann are double math and computer science majors, but it is the case that Ann is a math major and Bob is a double math and computer science major.

not (x and z) and (x and y)

Noting that for logical statements,

Negation is represented by ~

And is represented by conjunction sign Λ

Or is represented by disjunction sign V

(x and y) and not z

(x Λ y) Λ (~z)

not (x and z) and (x and y)

~(x Λ z) Λ (x Λ y)

We can then simplify the second statement to obtain the first statement and prove the equivalence of both sides

~(x Λ z) Λ (x Λ y)

Using DE MORGAN'S theory, ~(x Λ z) = (~x) V (~z)

~(x Λ z) Λ (x Λ y) = ((~x) V (~z)) Λ (x Λ y)

Then applying the distributive law to the expression, we can open the bracket up

((~x) V (~z)) Λ (x Λ y)

= ((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

Opening the first bracket up further

((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

= ((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

The NEGATION law shows that (~x Λ x) = c (where c is a negation law parameter for when two opposite statements are combined in this manner, it works like a 0 in operation)

((~x) Λ x) Λ y) V ((~z) Λ (x Λ y))

= (c Λ y) V ((~z) Λ (x Λ y))

But (c Λ y) = (y Λ c) = c (according to the UNIVERSALLY BOUND law, see how c works like a 0 now?)

(c Λ y) V ((~z) Λ (x Λ y))

= c V ((~z) Λ (x Λ y))

= ((~z) Λ (x Λ y)) V c (commutative)

And one of the foremost IDENTITY laws is that (any statement) V c = c

((~z) Λ (x Λ y)) V c

= ((~z) Λ (x Λ y))

= (x Λ y) Λ (~z)

Which is the same as the first statement!

PROVED!!!

Hope this Helps!!!

5 0
3 years ago
Read 2 more answers
Jan is saving for a skateboard she has saved 30 dollars already which is 20percent of the total price. How much does it cost?
Vesnalui [34]

Answer:

Step-by-step explanation:

so 20% of the total price equals $ 30

let x represent the total price

turn ur percent to a decimal

0.20x = 30

x = 30 / 0.20

x = 150 <=== total price

7 0
2 years ago
Which rational number is one tick mark to the right of Negative 6 Over 4 on the number line below?
murzikaleks [220]

Answer:

The number line is missing, but as we are know that the number marked in the number line is -6/4, i will guess that the ticks are spearated by fourts (the distance between each tick is 1/4).

Now, for the number at the right of -6/4, we should add the distance for one tick, this means that the number at the right is:

-6/4 + 1/4 = -5/4.

Now i will give some other examples:

Now, if the distance between ticks is 2/4, then the number at the right will be:

-6/4 + 2/4 = -4/4 = -1

Now, if the distance between ticks is 3/4, the the number at the right will be:

-6/4 + 3/4 = -3/4.

4 0
3 years ago
Lillian but for hairbrushes at $3.99 each.She had a coupon for $1 off. Her mum paid for half of the remaining cost.Evaluate a nu
Savatey [412]
She will pay $1.50 for the hairbrush and her mum paid $1.50 as well
3 0
3 years ago
A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded.
Anit [1.1K]

Answer:

\frac{1}{7}

Step-by-step explanation:

The satellite has 30 modular units.

There are equal numbers of non-upgraded sensors in each unit.

Let us assume that on the entire satellite there are x numbers of upgraded sensors.

Then as per the given condition, there are \frac{x}{5} number of non-upgraded sensors in one unit.

Therefore, the number of non-upgraded sensors on the entire satellite is \frac{30x}{5} =6x

Hence, total number of sensors in the satellite is (x+ 6x) =7x

Therefore, the required fraction of the upgraded sensors is \frac{x}{7x} =\frac{1}{7}. (Answer)

3 0
3 years ago
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