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n200080 [17]
3 years ago
6

Please help! I will give you a lot of points if you do and the brainiest!

Mathematics
1 answer:
Anika [276]3 years ago
8 0

Answer:

First truth table:

~q      p V ~q      ~(p V ~q)

F        T               F

T        T               F

F        F               T

T        T               F

Second truth table:

~q      p V ~q      ~(p V ~q)

F        T                F

Step-by-step explanation:

The ~ operator is a negator (or NOT), such that it is the opposite of the sign.

The first column wants the negation of q, and the values of q are

T, F, T, F, for the columns starting from the top. The negation for the columns are F, T, F, T.

For the second column, The 'V' operator is the OR operator, so a single True, or T will result in a True.

For the first row, not q is F, and T OR F will result in T.

For the second row, not q is T, and T OR T will result in T.

For the third row, not q is F, and F OR F will result in F.

For the fourth row, not q is T, and F OR T will result in T.

In the last column, we must figure out not p OR not q, which we did in the last column, so all we must do is figure out the NOT of values of the last column.

The values of the last column are T, T, F, T, respectively, so the not of the columns will be F, F, T, F.

In the bottom truth table, not q, will be F because the value of q is T. The second column wants p OR not q, and we already know that not q is F, and the value of p is T. T OR F is equal to T. In the last column, the question wants the not of p OR not q, which we did in the last column, so we must figure out the not value of the last column, which is T. The not of T is F.

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Gre4nikov [31]

Answer:

1/2

Step-by-step explanation:

y=1/2x

1/2 is constant

5 0
3 years ago
What is 31/4 + -11/2 + 21/4
Basile [38]
31/4 + -11/2 + 21/4 = 7 1/2
Hope this helps!
6 0
3 years ago
Read 2 more answers
Among all pairs of numbers (x,y)such that 6x+2y=36 find the pair for which the sum of squares, x^2+y^2 is minimum.
lora16 [44]
First, we simplify 6x+2y=36 into 3x+y=18 by dividing by 2. This means that y=-3x+18.


The sum x^2+y^2 can be written as: x^2+y^2=(x+y)^2-2xy, 
<span>
from the binomial expansion formula: </span>(x+y)^2=x^2+2xy+y^2.
<span>
Thus, substituting </span>y=-3x+18 and simplifying we have<span>

</span>x^2+y^2=(x+(-3x+18))^2-2x(-3x+18)=(-2x+18)^2+6x^2-36x=4x^2-72x+18^2+6x^2-36x=10x^2-108x+18^2.

This is a parabola which opens upwards (the coefficient of x^2 is positive), so its minimum is at the vertex. To find x, we apply the formula -b/2a. Substituting b=-108, a=10, we find that x is 108/20=5.4.


At x=5.4, the expression 10x^2-108x+18^2, which is equivalent to x^2+y^2, takes it smallest value.

Substituting, we would find 10x^2-108x+18^2=10(5.4)^2-108(5.4)+18^2=291.6-583.2+324=32.4 This is the smallest value of the expression. 


For x=5.4, y=-3x+18=-3(5.4)+18=1.8.



Answer:   (5.4, 1.8)
8 0
3 years ago
What is the product of 3x+4 and 6x^{2} −5x+7?
LUCKY_DIMON [66]

(3x + 4)(6 {x}^{2}  - 5x + 7) \\  = 18 {x}^{3}  - 15 {x}^{2}  + 21x + 24 {x}^{2}  - 20x + 28 \\  = 18 {x}^{3}  + 9 {x}^{2}  + x + 28

I hope I helped you^_^

8 0
3 years ago
WHAT IS THE PRODUCT OF: 7.21 x 4.2<br> PLEASE--
lesantik [10]
<h3><u>QU</u><u>ESTION</u><u>:</u></h3>

WHAT IS THE PRODUCT OF: 7.21 x 4.2

PLEASE--

<h3>SOLUTION AND ANSWER:</h3>

\:  \:  \:  \:  \sf7.2 \: 1 \\ \sf \times \:  \:  \:  \:  4.2 \\ \:  \:    \sf \overline{1 \: 4 \: 4 \: 2}  \\  \sf +  \: 2 \: 8 \: 8 \: 4 \: 0 \:  \:  \:  \:  \:    \\  \sf \overline{ \orange{3 \: 0.2 \: 8 \: 2}}

THEREFORE, <em><u>30.282</u></em> IS THE PRODUCT

HOPE THIS HELP YOU! HAVE A NICE DAY!

~kimtaetae92~

NOTE: Kindly see this answer from brainly app if you are in web to see the displayed formats here.

7 0
3 years ago
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