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Lorico [155]
3 years ago
5

Please look at the included picture, show me your work and please include a good explanation. It would really help me out here.

Mathematics
1 answer:
Jobisdone [24]3 years ago
8 0

These are indeed equivalent, and this identity is one of DeMorgan's laws.

The 6th column is the negation of the 5th column. For example, the first row says

not <em>p</em> or <em>q</em>

is true (T), so the negation would be false (F). The 5th column reads {T, F, T, T}, so the next column should be {F, T, F, F}.

Then in the 7th/last column, you are checking the truth value of the statement

<em>p</em> and not <em>q</em>

For example, in the first row, both <em>p</em> and <em>q</em> are true (T). This means (not <em>q</em>) is false, so (<em>p</em> and not <em>q</em>) is false (F). The last column should end up reading {F, T, F, F}, same as the previous column.

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skad [1K]

Answer: you can

Step-by-step explanation:

7 0
3 years ago
Calculate the sum of the multiples of 4 from 0 to 1000
allochka39001 [22]

Answer:

sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

Step-by-step explanation:

This problem can be solved using concept of arithmetic progression.

The sum of n term terms in arithmetic progression is given by

sum = (2a+(n-1)d)n/2

where

a is the first term

d is the common difference of arithmetic progression

_____________________________________________________

in the problem

series is multiple of 4 starting from 4 ending at 1000

so series will look like

series: 0,4,8,12,16..................1000

a is first term so

here a is 0

lets find d the common difference

common difference is given by nth term - (n-1)th term

lets take nth term as 8

so (n-1)th term = 4

Thus,

d = 8-4 = 4

d  can also be seen 4 intuitively as series is multiple of four.

_____________________________________________

let calculate value of n

we have last term as 1000

Nth term can be described

Nth term = 0+(n-1)d

1000 =   (n-1)4

=> 1000 = 4n -4

=> 1000 + 4= 4n

=> n = 1004/4 = 251

_____________________________________

now we have

n = 1000

a = 0

d = 4

so we can calculate sum of the series by using formula given above

sum = (2a+(n-1)d)n/2

       = (2*0 + (251-1)4)251/2

       = (250*4)251/2

     = 1000*251/2 = 500*251 = 125,500

Thus, sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

3 0
3 years ago
Using the figure, the transformation shown is <br>o. Reflection<br>o. Rotation<br>o. Translation​
Grace [21]

Answer:

Its a Translation because all they did with it was move it. It never changed size or shape.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which one would it be?
KATRIN_1 [288]

By AAS congruency the two triangles are congruent

4 0
3 years ago
Please help me on this ​
Zanzabum

Answer:

c

Step-by-step explanation:

7 0
3 years ago
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