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3 years ago

Show that the dual of the exclusive-OR is equal to its complement.

1 answer:

7 0

Solution:XOR: X+Y= XY’ + X’YDual of XOR:= (X +Y’)+(X’+Y)= XX’+XY +X’Y’ +YY’= XY + X’Y’ Complement of XOR (XNOR)= (X+Y)’= (XY’ + X’Y)’=(X’+Y)+(X +Y’)= XX’+ XY + X’Y’+YY’= XY + X’Y’
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a math class has a test today there are 30 problems on the test the test has two types of problems multiple choice problems and

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3 years ago

Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

Lisa [10]

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3 years ago

A team of 17 softball players need to choose three players to refill the water cooler. How many different ways are there to sele

KATRIN_1 [288]

<h3>Answer: 680 different combinations</h3>

=======================================================

Explanation:

If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.

So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.

An alternative is to use the nCr formula with n = 17 and r = 3. That formula is

$_n C _r = \frac{n!}{r!*(n-r)!}$

where the exclamation marks indicate factorials

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3 years ago

When truckers are on long-haul drives, their driving logs must reflect their average speed. Average speed is the total distance

KengaRu [80]

Answer:

0.500 hour

Step-by-step explanation:

Givens

<em><u>Distance</u></em>

Total Distance on the highway = 3hr * 60 miles / hr = 180 miles
Distance in the city = 20 miles
Total Distance = 180 + 20 = 200 miles

Time on the highway = 3 hours
Time in the city = x

Formula

d /t = r

Solution

Average rate = 57.14
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200 = 57.14 * (3 + x) Remove the brackets
200 = 57.14*3 + 57.14x Multiply the factors on the right
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200 - 171.42 = 171.42 - 171.42 + 57.14x So the subtraction
28.58 = 57.14x Divide by 57.14
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3 years ago

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