a museum has three rooms, each with a motion sensor (m0,m1, and m2) that outputs 1 when motion is detected. at night, the only person in the museum is one security guard who walks from room to room. create a circuit that sounds an alarm (by setting an output a to 1) if motion is ever detected in more than one room at a time, meaning there must be at least one intruder. start with a truth table.
Answers
(a) Truth Table is attached.
(b) In canonical SOP form, A = ∑ m(3,5,6,7)
(c) Minimal form: A = m1m2 + m0m1 + m0m2
(b) Canonical SOP form: The canonical sum-of-products (sop) form of LPP in matrix notation is as follows: Boost Z = CX (objective function) AX b (restrictions) and X 0 (limitations) apply (non-negativity restrictions).
it will be A = ∑ m(3,5,6,7)
(c) Minimal form: The k-map can be defined as a map that provides a pictorial method of grouping together expressions with common factors and therefore eliminating unwanted variables. The Karnaugh map can also be described as a special arrangement of a truth table.
it will be A = m1m2 + m0m1 + m0m2
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The complete question is:
a museum has three rooms, each with a motion sensor (m0,m1, and m2) that outputs 1 when motion is detected. at night, the only person in the museum is one security guard who walks from room to room. create a circuit that sounds an alarm (by setting an output a to 1) if motion is ever detected in more than one room at a time, meaning there must be at least one intruder.
(a) Specify the truth table
(b) formulate canonical sum of products implementation for A
(c) Minimize A using K-maps and write the minimum implementation of A
Related Questions
One interior angle of a convex polygon (a convex polygon is a polygon where all angles
are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?
Answers
Answer:
7 sides
Step-by-step explanation:
120 + 130x = 180 * (x+1-2)
120 + 130x = 180x - 180
300 = 50x
x = 6
You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.
Answer:
7
Step-by-step explanation:
1. (a) Find the remainder when 5x2 – 3x + 6 is divided by 2x-1
Answers
Answer:
The answer is 5/2X - 1/4. The remainder is 23/4.
what is 4½ pls anwser
Answers
Answer:
9/2
Step-by-step explanation:
Answer:
4.5 or 9/2
Step-by-step explanation:
A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended?
Answers
Answer:
Number of children in theater = 94
Number of students = 46
Number of adults in theater= 47
Step-by-step explanation:
Total seating capacity in the theater = 187
Let us assume the number of students in the theater = m
and assume the number of children in the theater = 2k
So, the number of adults in theater = Half of number of children = 2k/2 = k
⇒ Number of ( Adults + Children + students) = 187
⇒ k + 2k + m = 187, or 3k + m = 187
Step-by-step explanation:
Find the percent change from the first value to the second.
40;72 (show how you got your answer for a brainliest)
Answers
Answer:
80% increase
Step-by-step explanation:
There are two ways to do this
The first way is to set up a percent proportion
[tex]\frac{72}{x}[/tex] = [tex]\frac{40}{100}[/tex]
To find x, we can do:
x = [tex]\frac{72 * 100}{40}[/tex]
x = [tex]\frac{7200}{40}[/tex]
x = 180
72 is 180% of 40
There is an 80% increase.
The second way to do it (the way I find easier) is to use benchmark fractions:
We look at 40 and 72 and realize that (40 * 2) - 8 = 72
So 200% of 40 - 8 = 72
Then, we find out what percent of 40 is 8.
10% of 40 is 4
so that means 20% of 40 is 8 (10% * 2 = 4 * 2)
Then we do:
80 - 8 = 72
200% - 20% = 180%
72 = 180% of 40
Which is an 80% increase
Let me know if you have any questions
In rectangle ABCE, AC is the diagonal. BD⟂AC at O. AB = 13, OA=5. Find the length of OD and OB
plz answer with explanation
Answers
Answer:
ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?
The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.
The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5
Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So
[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5
= [7.5*1.5*2*4]^0.5
= 90^0.5 sq cm
Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or
2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get
4*90 = [s1(s1-p)(s1-q)(s1-r)]
360 = s1(s1–11)(s1–6)(s1-AD) … (1)
2s1 = AD + 11 + 6 = AD + 17, or
s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get
360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)
360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)
360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)
= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)
= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)
360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or
-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or
0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or
0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or
AD^3 - 168.5 AD^2 + 6492.5 = 0, or
By trial and error, AD = 6.3272
Check: AD^3 - 168.5 AD^2 + 6492.5
6.3272^3 - 168.5*6.3272^2 + 6492.5
253.3- 6745.6 + 6492.5 = 0.2 as against 0
Hence AD = 6.3272 cm.
Answer:
Assuming you really mean the rectangle is ABCD, not ABDE:
Since DB is perpendicular to AC, it must be square.
If OA = 5, then OB = OC = OD = 5
This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.
5^2 + 5^2 =AB^2 = 7.07, not 13
what is 0.46 as a fraction in simplest form, a fraction of 100, and a percent
Answers
Answer:
46/100
23/50
46%
Answer:
bleh
Step-by-step explanation:
so that da other guy can get brainliest
find the value of y and (4x+8)°
Answers
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
What is the x- value of the midpoint between A (-8,-6) and B (0, 6)?
Answers
Answer:
Step-by-step explanation:
Take average of the x-coordinates of A and B.
(-8+0)/2 = -4
x-coordinate of midpoint = -4
The required x value of the midpoint between A(-8, -6) and B (0, 6) is -4.
Given that,
To determine the x value for the midpoint between A (-8,-6) and B (0, 6).
Coordinate, is represented as the values on the x-axis and y-axis of the graph. Where x coordinate of the graph is called an abscissa and y coordinate of the graph is called ordinate.
The midpoint is that point of the line which has an equal distance from both ends of the line.
the x value of the midpoint between A(-8, -6) and B (0, 6) is given by,
x = ( x1 + x 2) / 2
x = ( - 8 + 0 ) / 2
x = - 8 / 2
x = - 4
Thus, the required x value of the midpoint between A(-8, -6) and B (0, 6) is - 4.
Learn more about coordinate here:
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David's overtime rate is $20. This week, he worked 3 overtime hours. How much will he get paid for overtime?
A. $30
B.$45
C$60
Answers
Answer:
$60
Step-by-step explanation:
3x20=60
3. The 7th grade students took a survey about which pizza company the students
preferred: Papa John's, Dominos or Pizza Hut. There are 64 students in the 7th
grade.
If 5 out of 8 students chose Papa John's, how many students chose Papa
John's? How many did not?
Answers
Answer:
40 students choose Papa John's, and 24 did not
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
For each 8 students, 5 chose Papa John's. Out of 64, how many choose?
5 - 8
x - 64
Applying cross multiplication
[tex]8x = 5*64[/tex]
Simplifying by 8
[tex]x = 5*8 = 40[/tex]
40 students choose Papa John's.
In all, there are 64 students, so 64 - 40 = 24 did not
i) Coordinates of point P
a) (1,1) b) (1,2) c) (2,1) d) (1,0)
ii) Coordinates of point Q
a) (0,-3) b) (-3,0) c) (-3,-3) d) (0,3)
iii) Coordinates of point T
a) (-4,-2) b) (-2,-4) c) (4,-2) d) (-2,4)
iv) (Ordinate of T) – (Abscissa of R)
a) -4 b) 4 c) 0 d) -2
v) (Abscissa of Q) – (Ordinate of S)
a) -4 b) 4 c) 2 d) -2
Answers
Given:
Five points P, Q, R, S ,T on a coordinate plane.
To find:
The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).
Solution:
From the given graph it is clear that the coordinates of given points are
P = (1,1)
Q = (-3,0)
R = (-2,-3)
S = (2,1)
T = (4,-2)
(i)
Coordinates of point P are (1,1).
Therefore, the correct option is (a).
(ii)
Coordinates of point Q are (-3,0).
Therefore, the correct option is (b).
(iii)
Coordinates of point T are (4,-2).
Therefore, the correct option is (c).
(iv)
Ordinate is y-coordinate and abscissa is x-coordinate.
Ordinate of T = -2
Abscissa of R = -2
(Ordinate of T) – (Abscissa of R) = -2 - (-2)
= -2 + 2
= 0
Therefore, the correct option is (c).
(v)
Abscissa of Q = -3
Ordinate of S = 1
(Abscissa of Q) – (Ordinate of S) = -3 - 1
= -4
Therefore, the correct option is (a).
Chris received $50,000 from his grandparents as a graduation gift. So, he has decided to invest the money
to pay his living cost at a college, which is $3,000 a year. There are two options: a bond that pays 12% and
a CD that pays 5%. How much should he invest in the bond? [Please round your answer to 2 decimal places.]
Answers
Answer: $7142.86
Step-by-step explanation:
Let the amount to be invested in the bond be represented by y.
Based on this, the amount to be invested in the CD will be: = 50000 - y.
From the information given, yearly interest on bond is 12%, this will be:
= 12% × y = 0.12 × y = 0.12y
Also, interest on CD will be:
= 5% × (50000 - y)
= 0.05(50000 - y)
Then, the equation to get the amount to be invested in bond will be:
0.12y + 0.05(50000 - y) = 3000
0.12y + 2500 - 0.05y = 3000
0.12y - 0.05y = 3000 - 2500
0.07y = 500
y = 500/0.07
y = 7142.8571
y = 7142.86
The amount to be invested in bond will be $7142.86
The independent variable is represented by the symbol(s)
1. Y
2. xy
3. Both A and B
4. X
5. None of the above
Answers
Answer:
4
Step-by-step explanation:
because variable is independent
For the past three years, Nigel has grown 1 1/5 inches each year. How many total inches has he grown in the past three years?
Answers
Answer: 3.6? I believe is the right answer.
:D
Step-by-step explanation: 1 1/5 times 3 is how I got 3.6
Answer:
3 3/5
Step-by-step explanation:
Nigel would have grown 3 3/5 inches in the past 3 years
( 6/5 x 3/1 )
( =18/5 )
and then you would be simplifying 18/5
and that's how you would get your answer 3 3/5
.......Can I please be marked Brainliest
please thank you:)
Please help this is due today!
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answers
Answer:
perdita is correct
Step-by-step explanation:
perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin
5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?
Answers
Answer:
3/4 a pan
Step-by-step explanation:
2 - 1 1/4 = 3/4
two seperated into fourths would look like this
1/4 1/4 1/4 1/4
1/4 1/4 1/4 1/4
one seperated into fourths would look like this
1/4 1/4 1/4 1/4
so take one and one extra fourth away from two and you're left with
1/4 1/4 1/4
add that together and you have 3/4
Joseph invested $6,700 in an account paying an interest rate of 5.2% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,950?
Answers
Answer:
Step-by-step explanation:
A=P(1+r/c)^(ct), where a is final value, P is the initial value or principle, r is the interest rate, and c is the number of compounding periods in a year.
ln(A/P)/ln(1+r/c)=ct so
t =(ln(A/P)/(cln(1+r/c)), given A=13950, P=6700, r=0.052, c=4
t=(ln(13950/6700))/(4ln(1.013))
t=14 years
Answer:
14
Step-by-step explanation:
What is the volume of the prism?
Answers
Answer:
Step-by-step explanation:
Find the GCE.
10rs, 35rst
Answers
Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >
Answers
Answer:
<
Step-by-step explanation:
hhahaha
HELP ME!!!!!!!!!!!!!!
Answers
Answer:
i wanna say it would be 1,735-3%y
A garden table and a bench cost $793 combined. The garden table costs $43 more than the bench. What is the cost of the bench?
Answers
Answer:
The bench costs $375
Step-by-step explanation:
t + b = 793
t = b+43
(b+43) + b = 793
2b + 43 = 793
2b = 750
b = 375
The bench costs $375
sorry if its in correct i tried my best
the total cost of a pizza and 3 drinks is $19 the price of the pizza is $10 and each drink is the same price D what is the price of one drink please I need help
Answers
Answer:
3
Step-by-step explanation:
9 divide by 3 is 3 itself so the answer is 3
The price one drink is $3.
Explanation:
Let $x be the price of one drink.
10 + 3x = 19
3x = 19 - 10
3x = 9
x = 9/3
x = 3
PLS HELP IF YOU ANSWER I WILL GIVE BRAINLIEST ANSWER!
Answers
Please help me Answer this :)
( Will give brainlst!!)
<3
Answers
Answer:
( it's below)
Step-by-step explanation:
a. electron
b. proton
c. neutron
d. electron shell
Answer:
a:Electron
b:proton
C:neutron
d:electron shell
impact of humour in specific language structure
Answers
Answer:
Summary
Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:
These are 2 questions please help me
Answers
Answer:
Step-by-step explanation:23
ROBERT bought 2 packages of cookies for $6.00. How much would 3 packages of cookies cost?
Answers
Answer:
9.00$
Step-by-step explanation:
6 divided by 2 = 3 so each pakage cost 3$ so it would be 9.00$
Joe and his friend are going hiking they bring with them a container that holds 1/2 of gallons of water if they share the water equally will fraction of a gallon would each friend get?
A. 1/3
B. 3/2
C. 1/4
D. 1/6
Answers
C. 1/4
I hope this helps!