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Anettt [7]
2 years ago
15

Kim's puppy gained 3/8 pound each week for 4 weeks altogether how much weight did the puppy gain during the 4 weeks

Mathematics
1 answer:
MrMuchimi2 years ago
3 0
<span> 3/8 each week for 4 weeks 3/8 times 4=3/8 times 4/1=12/8=6/4=3/2=1 and 1/2 gained 3/2 or 1 and 1/2 pounds

I Think I Got It Wrong So I'm Sorry If I Did =C
I Hope It Helped =D</span>
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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
Help with this inequality pleaze
Eddi Din [679]

Answer:

108 cm^2

Step-by-step explanation:

Trapezoid area = (a+b)/2 * h

= (6+12)/2 * 6 = 54 cm^2

Triangle area = b*h/2 = 12* (15-6) / 2 = 54 cm^2

Total area is 54+54 = 108 cm^2

3 0
1 year ago
Plz help this one is difficult
attashe74 [19]

Answer:

its the second one -3(x-y)

6 0
2 years ago
Read 2 more answers
Six hours more per week then Theodore studies
Ierofanga [76]

Answer:

umm you have to give us more info

Step-by-step explanation:

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5 0
3 years ago
-8(6+X) + 4(2x + 7) = 0
Talja [164]

Answer:

-20 = 0

Step-by-step explanation:

-8 (6 + x) + 4 (2x + 7) = 0

-48 - 8x + 8x + 28 = 0

-20 = 0

3 0
2 years ago
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