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Keith_Richards [23]
3 years ago
9

Is the expression X space logical or space (Y space logical and space Z )equivalent to (X space logical or space Y )space logica

l and space (X space logical or space Z )for all possible inputs of X, Y, and Z
Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0

Answer:

To prove:

X+Y.Z=(X+Y).(X+Z)

Taking R.H.S

= (X+Y).(X+Z)

By distributive law

= X.X+X.Z+X.Y+Y.Z --- (1)

From Boolean algebra

X.X = X

X.Y+X.Z = X.(Y+Z)

Using these in (1)

=X+X(Y+Z)+Y.Z

=X(1+(Y+Z)+Y.Z --- (2)

As we know (1+X) = 1

Then (2) becomes

=X.1+Y.Z

=X+Y.Z

Which is equal to R.H.S

Hence proved,

X+Y.Z=(X+Y).(X+Z)

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find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024 and select the correct answer be
olasank [31]
Hello,

u_{1} =4\\
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...\\

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==\textgreater\ 4*q^8=1024\\
==\textgreater\ q^8=256\\
==\textgreater\ q=2\mbox{( and there is a problem in the question) } \ or \ q=-2\\
if\ q=2 \ then\  \sum_{i=0}^{8}\ 4*(2)^i= 4*\dfrac{1-2^9}{1-2} =2044\\

if \ q=-2 \ then\ \sum_{i=0}^{8}\ 4*(-2)^i= 4*\dfrac{1-(-2)^9}{1+2} =684\\





Answer B (but see the problem)
7 0
3 years ago
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What is 7/21 in reducing fractions
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Hey there :)

0.043
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Step-by-step explanation:

The clause that gave away the answer is "<em>three-dimensional solid consisting of a base that can be any polygon"</em>

<em></em>

Scanning through the options, we can see that the only option that fits the description is the pyramid.

The pyramid is the only three-dimensional shape amongst the options that can take any polygon as a base.

<em>The other options get screened out here.</em>

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3 years ago
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