Answer:
179 R 1584
<h3>Part 1</h3>
6 × 384
6 × 4 = 24(carry the 2)
6 × 8 + 2 = 50(carry the 5)
6 × 3 + 5 = 23
Put it all together into one number
23 + 0 + 4 = 2,304
<h3>Part 2</h3>
3,856 + 284
6 does not add to 4 so it's 0
5 + 8 = 14(carry the 1 and add 1)
8 cannot add onto 2 so use the one you borrowed and carry. = 1
3 + 1 = 4
Put it together
4 + 1 + 4 + 0 = 4,140
<h3>Part 3</h3>
414,000
Simply add the two 0's in 100 to 4,140
<h3>Part 4</h3>
414,000 ÷ 2,304
Turn 4,140 into the thousands place temporarily.
4140
-2304
=1,836
Drop 0 to the result
18360
-16128
=2,232
Drop 0 again
22320
-20736
=1,584
Finally, you have a result.
179, Remainder 1584
Answer:
<h3>-5(2q - 3)</h3>
Step-by-step explanation:
Question # 2 Solution
Answer:
The truth table for the Boolean expression ¬a ∨ ¬b ↔ c is given below.
Step-by-step explanation:
As the given Boolean expression is
¬a ∨ ¬b ↔ c
<em />
<em>Truth Table:</em>
a b c ¬a ¬b ¬a ∨ ¬b ¬a ∨ ¬b ↔ c
0 0 0 1 1 1 0
0 0 1 1 1 1 1
0 1 0 1 0 1 0
0 1 1 1 0 1 1
1 0 0 0 1 1 0
1 0 1 0 1 1 1
1 1 0 0 0 0 1
1 1 1 0 0 0 0
Question # 4 Solution
Answer:
The truth table to determine whether ¬(k ∧ L) = ¬k ∧ ¬L is given below.
Step-by-step explanation:
Lets construct the truth table to determine whether ¬(k ∧ L) = ¬k ∧ ¬L is true or not.
<em />
<em>Truth Table:</em>
k L ¬k ¬L (k ∧ L) ¬(k ∧ L) ¬k ∧ ¬L
0 0 1 1 0 1 1
0 1 1 0 0 1 0
1 0 0 1 0 1 0
1 1 0 0 1 0 0
From the truth table, it is clear that ¬(k ∧ L) is not equal to ¬k ∧ ¬L
Therefore, ¬(k ∧ L) ≠ ¬k ∧ ¬L
<em>Keywords: truth table, logical reasoning</em>
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Answer:
18:19
Step-by-step explanation:
Given that,
The radius of circle A = 9 cm
The diameter of circle B = 19 cm
We know that,
Radius = diameter/2
The radius of circle B = 19/2 cm
The circumference of circle A is :
....(1)
And that of circle B is :
....(2)
Dividing equation (1) and (2) :
Hence, the ratio of circumferences of Circle A and Circle B is 18:19.
Answer:
Step-by-step explanation:
Simplify: