The Boolean dual are created by replacing AND operator with OR operator and the complement is defined as the negation of the statement .
What is Boolean Expression ?
The Boolean Expression is defined as a logical statement that is either TRUE or FALSE . It compares data of any type as long as both the parts of expression have same basic data type.
The Dual of Boolean Expression are calculated by simply replacing AND operator with OR and OR operator with AND .
The Compliment of Boolean Expression is defined as negation of variables with replacement .
For Example : if the statement is [tex]A+B[/tex] ,
then the dual will be [tex]AB[/tex] and the compliment will be [tex]A'B'[/tex] .
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If triangle NPZ ~ triangle HBZ find the measure of angle B.
Please show the steps
The measure of angle B is 107°.
What do similar triangles mean?
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given a triangle, NPZ is similar to triangle HBZ.
Which can also be written as ΔNPZ ≈ ΔHBZ
So, by equating the corresponding angles that are angle P = angle B:
8x-37°=180-(2x-5+42)°
10x=180
x=18°
So, H=36-5=31°
Since the sum of all angles in a triangle is 180°, angle B can be calculated as
B= 180°-(42+31)°
B=107°
Therefore the measure of angle B is 107 degrees
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b) Sita had.50 sweets. She ate 10 sweets and gave 8 sweets to her brother. If she divided the rest of them among her 8 friends equally, how many sweets would each friend get?
Answer:
4 sweets each
Step-by-step explanation:
50 sweets to begin with and eats 10 , so 50 - 10 = 40 left
she then gives 8 to her brother , leaving 40 - 8 = 32 sweets
she then shares 32 equally among her 8 friends , so
32 ÷ 8 = 4
that is each friend got 4 sweets
Can you help me with this
The linear function that passes through (3,1) and has a slope of -1/2 is defined as follows:
y = -0.5x + 2.5.
The graph of the linear function is given by the image presented at the end of the answer.
How to define the linear function?The linear function for this problem is defined in slope-intercept format, as follows:
y = mx + b.
In which the coefficients of the function are given as follows:
m is the slope, representing the rate of change of the output variable relative to the input variable.b is the y-intercept, representing the value assumed by the output variable y when the input variable x assumes a value of zero.The slope of the function in this problem is given as follows:
m = -1/2 = -0.5
Hence:
y = -0.5x + b.
The line passing through point (3,1) means that when x = 3, y = 1, and thus the intercept b is obtained as follows:
1 = -0.5(3) + b
1 = -1.5 + b
b = 2.5.
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What range of values is not a possible scale factor (k)?
A) k 1
D) all are possible
A range of values which is not a possible for scale factor (k): k = 0
We know that the scale factor is the number (also called the conversion factor) which is used to change the size of a figure without changing its shape.
It is used to expand or compress the size of an object.
The scale factor formula is:
Scale factor = Dimensions of the transformed shape ÷ Dimensions of the original shape
If the scale factor k > 1, the object is enlarged.
If the scale factor is 0< k <1, the object is compressed.
If the scale factor is k = 1, the shape of object remains the same.
And the scale factor cannot be zero.
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What does − [infinity] [infinity] mean?
This expression has no defined meaning. It is not a valid mathematical expression.
− [infinity] [infinity] is not a valid mathematical expression so it has no defined meaning.
The expression − [infinity] [infinity] is not a valid mathematical expression, and thus it has no defined meaning. It is not a valid mathematical expression because it contains two symbols, infinity and negative infinity, which do not interact with each other in any meaningful way. Infinity is a concept that is used to represent an unbounded or infinitely large value, while negative infinity is a concept used to represent a value that is infinitely small. When combined, these two symbols do not represent any meaningful mathematical quantity. Therefore, the expression − [infinity] [infinity] has no defined meaning.
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In the diagram below, \overline{MN}
MN
is parallel to \overline{JK}
JK
. If MNMN is 1212 more than LNLN, LK=33LK=33, and JK=55JK=55, find the length of \overline{LN}
LN
. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
The value of the missing length LN of the similar triangles is; LN = 18
How to solve Similar Triangles?Similar triangles are defined as triangles that have the same shape, but their sizes may vary. This means therefore that, if two triangles are similar, then we can say that their corresponding angles are congruent and also their corresponding sides are in equal proportion.
In the given triangle attached, we can say that if we apply the concept of similar triangles, we will get;
LN/LK = MN/JK
We are told that;
MN is 12 more than LN. Thus; MN = 12 + LN
LK = 33
JK = 55
Thus;
LN/33 = (12 + LN)/55
55LN = 33(12 + LN)
55LN = 396 + 33LN
22LN = 396
LN = 396/22
LN = 18
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how to solve inequations
Answer:
When solving an inequality: you can add the same quantity to each side •you can subtract the same quantity from each side you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.
you can add subtract multiply and divide the quantity to each side
But if you’re doing any of those with a negative quantity, the inequality symbol must be reversed
3 x -8> 29
3 x -8 < 29
Explain a few ways that placing figures in a coordinate plane can be helpful for solving different problems.
Use the coordinate plane to graph points, lines, and geometric forms in the different quadrants, and then use the absolute value to determine the distances between them.
What does ordinate math entail?
An exact position of a point in the coordinate plane can be demonstrated using a collection of values called coordinates. Meaning of a Coordinate Plane. The intersection of the x-axis and y-axis, two perpendicular lines that form a 2D plane known as a coordinate plane.
Which three coordinate systems are there?
Cartesian, cylindrical, and spherical are the three most often used coordinate systems. We'll discuss a cylinder-based coordinate system as well as a cartesian-based one in this chapter.
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please help!!!!
Solving Systems of Linear Equations by Elimination
C.
0.6x = 1.2 +0.3y
2.2x-1.8y-1.6=0
By using systems of linear equations by elimination, it can be determined that x = 0.5 y +2 and 2.2x-1.8y-1.6=0 are equivalent to x=0.818182 and y+0.727273.
What do you meant by Systems of Linear Equations by Elimination ?Using elimination, let's fix your system. 0.6 x=1.2+0.3 y, 2.2 x-1.8 y-1.6=0 in the graph, and y=2 x-4, y=1.222222 x-0.88888
Step 1: Divide both sides by 0.6 to find the solution for x = 0.6 x=1.2 + 0.3 y.
[tex]$$\begin{aligned}& \frac{0.6 x}{0.6}=\frac{0.3 y+1.2}{0.6} \\& x=0.5 y+2\end{aligned}$$[/tex]
Let's figure out what x is, 2.2 x-1.8 y-1.6=0.
First, multiply both sides by 1.8 y.
[tex]$$\begin{aligned}& 2.2 x-1.8 y-1.6+1.8 y=0+1.8 y \\& 2.2 x-1.6=1.8 y\end{aligned}$$[/tex]
Add 1.6 to both sides in step two.
[tex]$$\begin{aligned}& 2.2 x-1.6+1.6=1.8 y+1.6 \\& 2.2 x=1.8 y+1.6\end{aligned}$$[/tex]
3. Multiply both sides by 2.2.
[tex]$\frac{2.2 x}{2.2}=\frac{1.8 y+1.6}{2.2}$[/tex]
x=0.818182 y+0.727273
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77:9 =
nt :
is there anyone named christina mansell?
Christian Mansell (born 9 February 2005) is an Australian racing driver set to compete in the 2023 FIA Formula 3 Championship with Campos Racing. He previously competed in the 2022 Neuroforamina Open Championship for Crypto Tower Racing, finishing in third overall in the standings.
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Bob made 15,000 in taxable income lat year. Suppoe the income tax rate i 15% for the firt 8000 plu 19% for the amount over 8000. How much mut Bob pay in income tax for lat year?
Therefore, Bob must pay $2530 in income tax for last year if Bob made 15,000 in taxable income last year.
What is taxable income?The basis of an income tax system is referred to as taxable income. In other words, the amount of revenue that was subject to taxation.
Define revenue.Revenue is the entire amount of money made through the sale of products and services that are essential to the business's core activities.
The first $8000 of Bob's taxable income is taxed at 15%:
Tax on first $8000 = $8000 * 0.15 = $1200
The remaining $7000 of Bob's taxable income is taxed at 19%:
Tax on remaining income = $7000 * 0.19 = $1330
Total tax = $1200 + $1330 = $2530
So Bob must pay $2530 in income tax for last year.
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Find the area of the front face of the shed. Please help asap.
Answer:
8.25cm²
Step-by-step explanation:
the area of the triangle = (half x base x height )=
(1.5x3)÷2= 2.25cm²
the area of the rectangle= length x width = 3x2= 6cm²
total = 2.25+6= 8.25cm²
15 In circle F with m/EFG = 78 and EF = 4 units, find the length of arc EG. Round to the nearest hundredth. F G E
Length of arc EG = 5.446 degrees and EG = 0.05446 degrees while written in hundredth.
What means arc length of a circle?Arc length is defined as the distance of two points along the boundary of a circle or a section of a curve. Arc length is not a straight line.
Arc length is calculated by the following formula.
arc length in radians
s = r Ф
where, r is radius of circle or curve
Ф is the central angle in radians
arc length is degrees
s = Ф×π/180 × r
r is the radius of circle
Ф is the central angle in degrees
π = 3.142
How to calculate the arc length in the given problems?given, central angle EFG = 78 degrees.
EF = 4 units
EF is the radius of the given circle
as per the rules of a circle FG is also a radius
FG = FE = 4 units
Now arc length EG = ∠EFG × π/180 × EF
Arc length = 78 × 3.142/180 × 4
=5.446 units
hence, arc length EG = 5.446 units or 5.446 degrees
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quadratic expression x² +6x +5
Answer:
if its for factor, we have (x+1)(x+5), if its for formula, its x=-1, -5
Step-by-step explanation:
In 2017 the Hindu festival of Diwali occurred on Thursday, 19 October. What fraction of the year was this
The Diwali occurred on 0.408 or 40.8% of the year in 2017.
To find the fraction of the year that Diwali occurred in 2017, we need to divide the number of days between Diwali and the start of the year by the total number of days in the year.
Diwali occurred on Thursday, October 19, 2017. The start of the year 2017 is January 1, 2017 which is a Sunday.
There are 365 days in a non-leap year. Since 2017 is not a leap year, there are 365 days in that year.
So the fraction of the year that Diwali occurred in 2017 can be calculated as: (days between Diwali and the start of the year) / (total days in the year) = ( 19 + 31 + 30 + 31 + 30 + 19 ) / 365 = (148) / 365 = 0.408
So, the Diwali occurred on 0.408 or 40.8% of the year in 2017.
Therefore, Diwali occurred on 0.408 or 40.8%
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EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!
Graph of given system of equations is shown in figure with intersection point (2, 4).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The system of equation is,
⇒ 2x + y = 8
⇒ - x + 2y = 6
By solving both equation , we get;
⇒ (x, y) = (2, 4)
Thus, The graph of system of equation intersect on point (2, 4).
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find the value of X.
L,M∈KN
Select the correct image.
Barry wants to host an event at a hotel that has four conference rooms. Each conference room has a maximum capacity of 150 people, but the
hotel limits the capacity to 1 person for every 4 square feet.
Sketches of the four conference rooms are shown below. Which room will stop Barry from hosting the event at the hotel?
25 ft
24 ft
28 ft
28 ft
The room that would stop Barry from hosting the event is the semicircular room.
Which room has a capacity that is less than 1 person per 4 square feet?Would the first rectangular room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a rectangle = length x width
25 x 30 = 750 feet²
Number of people per square foot - 750 / 150 = 1 person for every 5 feet
Would the trapezoidal room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a trapezoid = 1/2 x (sum of parallel sides) x height
1/2 x (24 + 36) x 28 = 840 feet²
Number of people per square foot = 840 / 150 = 1 person for every 5.6 feet
Would the square room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a square = length x width
28 x 28 = 784 feet²
Number of people per square foot - 784 / 150 = 1 person for every 5.2 feet
Would the semi circular room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a semicircle = 1/2πr²
Where:
r = 3.14
r = radius = diameter / 2 = 28 / 2 = 14 feet
1/2 x 3.14 x 14² = 307.72 feet²
Number of people per square foot - 307.72/ 150 = 1 person for every 2.05 feet
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Answer:
The semicircle
Step-by-step explanation:
ewomazinoade's answer is correct, not sure why at time of writing the rating is so low for their answer (3.7).
See pic!
Where does the line 2x 3y 6 will intersect Y axis at?
The graph of the given line 2x+3y=6 intersects the Y-axis at (0,2).
For the graph of linear equation to intersect the Y-axis, its X-co-ordinate should be zero or the abscissa is zero as Y-axis as the equation of Y-axis is x=0. Also the set of coordinates should satisfy the equation.
According to the first condition the x-coordinate of the equation should be zero so in equation 2x+3y=6 substituting the value of x as zero 2(0)+3y=6
3y=6
y=6/3=2
So at point (0,2), the graph of the given line 2x+3y=6 intersects the Y-axis.
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Help please! Thank you
Answer:
the answer is z^2-9. Using the box method line up equation. Then multiple numbers outside of the box and put numbers inside. Lastly combine like terms.
Colorado State Flag (7. 4. A. 1. 4)
Illustrative Mathematics
1. 4: Colorado State Flag
The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is its height?
The height of the flag is 18 feets.
What is a rectangle?Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.
Length is equal to 2 (2 + 3) the sum of the side lengths.
The sum of side length divided by (12) equals (2/5)
12 = 0.4(sum of side length) (sum of side length)
divide both sides by 0.4.
The height of the flag is calculated as side lengths plus length.
Height of flag: (30 – 12) = 18 feet
Therefore, the height of the flag is 18 feets.
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How do you calculate the number of seeds per acre?
1. Convert lb./acre to grams/acre
2. Use the TKW to calculate seeds per acre.
What is acre?The imperial system and US customary systems both use acres as a measure of land area.
According to traditional definitions, it is the area of one chain by one furlong (66 by 660 feet), which is exactly equal to 10 square chains, 1640 of a square mile, 4,840 square yards, or 43,560 square feet, and roughly 4,047 m2, or roughly 40% of an acre.
A declared acre is equal to 4,046.8564224 square metres according to the 1959 international yard and pound agreement. Although the word "acre" is typically spelled out, the abbreviation "ac" is sometimes used instead.
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What is the smallest multiple of 6 greater than 115?
Answer:
120
Step-by-step explanation:
First, divide 115 by 6:
115/6 =
(114 + 1)/6 = ==> 114 is a multiple of 6
114/6 + 1/6 = ==> distribution property
19 + 1/6 = ==> simplify
19 1/6 ==> the smallest integer greater than 19 1/6 is 20
Hence, multiply 20 by 6 to get 120.
Classify each variable as qualitative or quantitative.
1. Marital status of nurses in a hospital.
2. Time it takes to run a marathon.
3. Weights of lobsters in a tank in a restaurant.
4. Colors of automobiles in a shopping center parking lot.
5. Ounces of ice cream in a large milkshake.
6. Capacity of the NFL football stadiums.
7. Ages of people living in a personal care home.
Quantitative variable are - 2,3,5,7 and Qualitative are 1, 4 ,6
1. Marital status of nurses in a hospital-qualitative
2. Time it takes to run a marathon-quantitative
3. Weights of lobsters in a tank in a restaurant- quantitative
4. Colors of automobiles in a shopping center parking lot- qualitative
5. Ounces of ice cream in a large milkshake- quantitative
6. Capacity of the NFL football stadiums -qualitative
7. Ages of people living in a personal care home- quantitative
Qualitative variables are categorized or labelled to belong to a certain category or group.
There are two types of qualitative variables, Categorical and ordinal.
Categorical variable are those variables that are labelled in non-numeric or numeric form, where the numbers have no value. The order also does not matters. For example, the number on the jerseys of football players. It is not necessary that the player number 1 is actually the best player.
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A Triangle has two sides of length 16.4 and 10.2. What compound inequality describes the possible length for the 3rd side
Answer:
6.2 < x < 26.6
Step-by-step explanation:
The length of a side of a triangle is between the difference and the sum of the lengths of the other two sides.
16.4 - 10.2 = 6.2
16.4 + 10.2 = 26.6
Let x = length of third side.
6.2 < x < 26.6
23. We are laying new carpet in the classroom which is 84 square feet. If the width is 5 feet
more than the length, what are the dimensions of the floor?/
Let l be the length of the classroom in feet, and w be the width of the classroom in feet. We know that l + 5 = w and l * w = 84.
We can use these two equations to solve for the length and width of the classroom.
First, we can solve the second equation for l:
l = 84 / w
Substituting this expression for l into the first equation gives us:
84 / w + 5 = w
Expanding the left side of the equation gives us:
84 / w + 5 = w
84 / w = w - 5
84 = w^2 - 5w
w^2 - 5w - 84 = 0
This is a quadratic equation that we can solve using the quadratic formula:
w = (5 + sqrt(5^2 - 4 * 1 * -84)) / 2 * 1
= (5 + sqrt(25 + 336)) / 2
= (5 + sqrt(361)) / 2
= (5 + 19) / 2
= 24 / 2
= 12
Now that we know the value of w, we can substitute it back into the equation l = 84 / w to find the value of l:
l = 84 / 12
= 7
Therefore, the dimensions of the classroom are 7 feet by 12 feet.
I need help with this, please
solve 2x+4y=4 -2x+y=-4 using substitution 
According to the solving by using substitution method the x and y are x = 6/5 and y = -8/5 respectively.
What is a method of substitution?The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable through one equation is substituted in the second equation in this procedure, as the name implies.
According to the given information:given equations are 2x+4y = 4 and -2x+ y = -4
Now, simplifying -2x+y = -4
-2x+y = -4
∴ y = -4 + 2x
i.e. y = 2x - 4
By substitution method,
y = 2x - 4 in other given equation 2x+4y = 4,
2x+4y = 4
2x+4(2x - 4) = 4
∴ 2x + 8x - 8 = 4
∴ 10x = 4 + 8
∴10x = 12
∴ x = 12/10
∴ x = 6/5
Now ,
substituting x = 6/5 in y = 2x - 4,
y = 2(6/5) - 4
∴ y = - 8/5
∴ x = 6/5 & y = - 8/5.
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Is 4 a polynomial or not?
The term given to us is 4 , this is a constant number therefore this cannot be regarded as a polynomial.
An expression is said to be a polynomial if it also contains a variable along with constants which are joined with each other through various mathematical operations. These expressions usually have more than one terms.
A polynomial can be of various degrees such as one degree , two degree based upon that they are known as linear , quadratic , cubic polynomial etc. Unlike terms are polynomial terms in which the variables are different and also the same variables with different powers. Contrary terms are two or more terms that are not synonymous.
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Question Progress
Here are some temperatures.
Ottawa
New York
Oslo
Moscow
-9.5 °C
-11.6 °C
-4.3 °C
-7.9 °C
a) Which place has the highest temperature?
b) What is the difference in temperature between Ottawa and Oslo?
The temperature in Moscow falls by 3.1°C.
c) What is the new temperature in Moscow?
The place with the highest temperature is Oslo.
The difference between the temperature in Ottawa and Oslo is 5.2 degrees Celsius .
The new temperature in Moscow is 11 degrees Celsius .
How to find the temperature ?When temperatures are in the negatives, the higher temperature would be the smaller number. Oslo therefore has the highest temperature at - 4.3 °C.
The difference between the temperature in Ottawa and Oslo can be found by subtracting the temperatures:
= - 4 . 3 - ( - 9 . 5 )
= - 4.3 + 9 .5
= 5. 2 degrees Celsius
The new temperature in Moscow is:
= - 7.9 - 3.1
= 11 degrees Celsius
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