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kompoz [17]
3 years ago
15

263/4 plz answer thank you

Mathematics
2 answers:
mr_godi [17]3 years ago
6 0

Answer:

65.75

Step-by-step explanation:

All you do is divide.

zheka24 [161]3 years ago
3 0

Answer:

65.75

Step-by-step explanation:

Please give me Brainlest!

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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
90 - y = 3y - 70 <br> solve for y<br> I NEEEED THIS NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWW
kirill [66]

Answer:

y=40

Step-by-step explanation:

8 0
2 years ago
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Find the measure of each interior angle of a regular polygon with the following number of sides 10​
tresset_1 [31]

Answer:

36 will be the measure.

Hope it helps!!!

Step-by-step explanation:

7 0
3 years ago
What is three hundred thousand, five thousand sixty-three written in standard form
RSB [31]
305,063      Hope this helps!
4 0
3 years ago
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Im doing decimals greatest to least and i need help with number 12 and 13
erma4kov [3.2K]

(I know there isnt any real problem here to solve, but heres a tip on how to solve greatest to least with decimal problems)

1. Just because a number looks big, doesn't mean it is big

Example: 1.00000000000001 < 1.1

just look at the numbers ^ and dont just hastily read it over assuming that 1.1 is smaller because it "has less digits"

2. Negative numbers are... opposite. and they are less than positive numbers

-3.4 > -4.1

Why is this? Well, if you look on a line, with the point 0 in the middle, you can see that -3.4 is not as far away from 0 as -4.1 is. So the idea is to apply opposite logic for negative numbers

I hope these tips helped!! :D

3 0
3 years ago
Read 2 more answers
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