Answer:
add 4 to both sides of the equation
Step-by-step explanation:
Let X be the set {a,b,c,d}. Consider the set of partial orders P of X in which a is a maximum element (so that P(z,a) is true for any z in X) and d is a minimum element (so that P(d,z) is true for any z). There are exactly two such partial orders.
A) True
B) False
The given statement is (A) true:
There are exactly two partial orders that satisfy the conditions mentioned.
To understand why, let's analyze the requirements for a partial order in this case:
1. The element "a" must be the maximum element, meaning that "a" should be greater than or equal to any other element in the set.
2. The element "d" must be the minimum element, meaning that "d" should be less than or equal to any other element in the set.
To visualize this, let's consider the possible comparisons between the elements:
1. Comparing "a" with "b", "c", and "d":
- If "a" is greater than all other elements (b, c, and d), then it would satisfy the condition of being the maximum element.
- However, if "a" is equal to any other element (b, c, or d), it would still satisfy the condition of being the maximum element.
- Therefore, there are 2 possibilities for the comparison between "a" and the remaining elements: either "a > b, a > c, a = d" or "a = b, a > c, a = d".
2. Comparing "d" with "a", "b", and "c":
- If "d" is less than all other elements (a, b, and c), then it would satisfy the condition of being the minimum element.
- However, if "d" is equal to any other element (a, b, or c), it would still satisfy the condition of being the minimum element.
- Therefore, there are 2 possibilities for the comparison between "d" and the remaining elements: either "d = a, d < b, d < c" or "d = a, d = b, d < c".
Combining these possibilities, we have two different partial orders that satisfy the conditions:
1. Partial order 1: a > b, a > c, a = d, d < b, d < c
2. Partial order 2: a = b, a > c, a = d, d < b, d < c
Hence, the statement is true, and there are exactly two such partial orders. The correct answer is A) True.
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3n+7 write the first five terms
Answer:
10
13
15
17
22
Step-by-step explanation:
the first 5 terms will be 1,2,3,4 and 5.
I guess...
Answer:
a1 = 10
a2 = 13
a3 = 16
a4 = 19
a5 = 22
Step-by-step explanation:
Substitute in the value of n to find the n
th term.
a1 = 3 (1) + 7
3 + 7 = 10
a2 = 3 (2) + 7
6 + 7 = 13
a3 = 3 (3) + 7
9 + 7 = 16
a4 = 3 (4) + 7
12 + 7 = 19
a5 = 3 (5) + 7
15 + 7 = 22
good luck, hope this helps :)
A poster of area 8640 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the sides. Find the dimensions that maximize the printed area. (Use decimal notation. Give your answers as whole or exact numbers.)
Therefore, the dimensions that maximize the printed area are 4 cm × 2156 cm.
Let's first find the dimensions of the printable region of the poster.
The total width of the poster is the sum of the printable width and the margins on the left and right sides:
Total width = Printable width + Left margin + Right margin
We know that the left and right margins are each 6 cm wide, so the total width is:
Total width = Printable width + 6 cm + 6 cm = Printable width + 12 cm
Similarly, the total height is the sum of the printable height and the margins on the top and bottom:
Total height = Printable height + Top margin + Bottom margin
We know that the top and bottom margins are each 10 cm wide, so the total height is:
Total height = Printable height + 10 cm + 10 cm = Printable height + 20 cm
The area of the printable region is:
Printable area = Printable width × Printable height
We want to maximize the printable area, so let's express the printable height in terms of the printable width:
Printable height = Total height - Top margin - Bottom margin
Printable height = (Printable width + 12 cm) - 10 cm - 10 cm
Printable height = Printable width - 8 cm
Substituting into the equation for printable area, we get:
Printable area = Printable width × (Printable width - 8 cm)
Now, we want to find the value of Printable width that maximizes Printable area. We can do this by taking the derivative of Printable area with respect to Printable width, setting it to zero, and solving for Printable width:
d(Printable area)/d(Printable width) = 2Printable width - 8 cm
2Printable width - 8 cm = 0
Printable width = 4 cm
So, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:
Printable height = Printable width - 8 cm
Printable height = 4 cm - 8 cm
Printable height = -4 cm
This is not a valid solution, since the height cannot be negative. Therefore, we made an error somewhere.
Printable width = -b/2a
where a = 1 and b = -8
Printable width = -(-8)/(2×1) = 4
Therefore, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:
Printable height = Printable width - 8 cm
Printable height = 4 cm - 8 cm
Printable height = -4 cm
Again, this is not a valid solution, since the height cannot be negative. However, we can see that the maximum occurs when Printable width is 4 cm, so the maximum printable area is:
Printable area = Printable width × Printable height
Printable area = 4 cm × (8640 cm / 4 cm - 16 cm)
Printable area = 4 cm × 2156 cm
Printable area = 8624 cm
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A shipping company uses a formula to determine the cost for shipping a package: c = 2.79 + 0.38p, where c is the cost of shipping and p is the number of pounds. What is the cost of shipping a package that weighs 8 pounds?
Using the formula they gave us:
Cost of shipping = 2.79 + 0.38(8)
Cost of shipping = 2.79 + 3.04
Cost of shipping = 5.83(currency unit)
HELP ASAP THIS IS DO TOMORROW!
Answer:
The volume of the box is 250cm³
Step-by-step explanation:
V = Length * Width * Height
V = 5cm * 5cm * 10cm
V = 250cm³
The volume of the given box (rectangular prism).
Solution:\(V = whl\)
\(V = 10 \times 5 \times 5\)
\(\large\boxed{\sf{V = 250 \: {cm}^{3}}}\)
Therefore, the volume of the given box (rectangular prism) is 250 cubic centimeters.
if the scale used 1/4 inch = 3 feet, then what is the perimeter of the actual garden?
Answer:
i need more info to answer this
Step-by-step explanation:
Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country?
Simple random sampling, because the people in the sample are accessible and available
Stratified sampling, because there are specific subgroups to investigate
Systematic sampling, because of the ease in selecting every nth person
Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement
The sampling method that is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country is A. Simple random sampling, because the people in the sample are accessible and available
What is sampling?Sampling is the process of selecting the group from which you will collect data for your research. For example, if you want to know what students think at your university, you could survey 100 of them. In statistics, sampling allows you to test a hypothesis about a population's characteristics.
Simple random sampling is a type of probability sampling in which a subset of participants is chosen at random from a population. Each person in the population has an equal chance of being chosen. The data is then collected from as large a percentage of this random subset as possible.
Based on the information illustrated, the correct option is A.
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Answer: D) Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement
Step-by-step explanation: Just took the test and got this right, also simple random sampling one small town wouldn't be an accurate sample for the entire country, and cluster sampling is better since the question inquired about the entire country... If that makes any sense lol.
Identify the expression that has two terms.
6 x + 4
x/4
2 x
5
Answer:
A
Step-by-step explanation:
Comment
The first one. Such an expression requires an isolation plus or minus sign and two terms that are not alike.
Answer
A
Answer:
6x+4
Step-by-step explanation:
A term can be a constant(like 7,4,3 etc) or a variable (x,y etc) which is separated by a multiplication, division,addition or subtraction sign.
Norman plants a garden each
year. This year, his garden
produced 40% fewer tomatoes
than it did last year. If Norman’s
garden produced 30 tomatoes
this year, how many tomatoes
did his garden produce last year?
Answer:
50
Step-by-step explanation:
if last year 100% of the tomatoes were produced and this year 40% less were produced then that would mean 60% of tomatoes were produced this year.
if 60% = 30 then
100% = ?
100x30÷60
In the figure below, m < 1=79° and m < 2 = 53°. Find m < KJL.
Applying the angles addition postulate, m<KJL = 132°.
What is the Angles Addition Postulate?The Angles Addition Postulate is a fundamental property of angles in geometry that explains how to find the measure of an angle that is formed by two adjacent angles. According to this postulate, the measure of the larger angle, which is formed by two adjacent angles, is equal to the sum of the measures of the two smaller adjacent angles.
Given the following:
m <1 =79°
m<2 = 53°
Thus, we have:
m<KJL = m<1 + m<2
Substitute:
m<KJL = 79 + 53
m<KJL = 132°
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The angles m∠1 = 79° and m∠2 = 53° make up the angle m∠KJL and the measure of m∠KJL = 132°.
How to evaluate for the angle measure of m∠KJLWe can observe that the angles m∠1 and m∠2 are between the angle m∠KJL hence the sum of the two angles m∠1= 79° and m∠2 = 53° will give the measure of m∠KJL as follows:
m∠1 + m∠1 = m∠KJL
79° + 53° = 132°
m∠KJL = 132°
Therefore, the angles m∠1 = 79° and m∠2 = 53° make up the angle m∠KJL and the measure m∠KJL = 132°
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A group of friends eats at a restaurant. the bill is 105.97. the group leaves a 18% tip the tax is 6.125%. What is the tip
Answer:
boiiiiiiii
Step-by-step explanation:
\(224742...\)
70 points!! Please help me check if my answers are correct. Best answer will get brainliest :)
Answer: All answers are correct
Step-by-step explanation: ur really smart congrats
Please help me I keep getting a different answer
The distance between points A and B is given as follows:
E. 54.4 feet.
What is the law of cosines?The law of cosines states that we can find the length of the missing side c of a triangle as follows:
c² = a² + b² - 2abcos(C)
In which the parameters of the equation are given as follows:
C is the angle opposite to side c.a and b are the lengths of the other sides.From the diagram given by the image presented at the end of the answer, the values of the parameters are given as follows:
a = 45, b = 69, C = 52º.
Hence the distance between points A and B is the missing length C obtained as follows:
c² = a² + b² - 2abcos(C)
c² = 45² + 69² - 2 x 45 x 69 x cos(52º)
c² = 2962.74223826
c = sqrt(2962.74223826)
c = 54.4 feet.
Meaning that option E is correct.
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Your bedroom wall is 221 inches wide. You want to hang two posters, each 28 inches across, with an equal space between each poster and the wall edges. How many inches of space should you leave between the wall edge and each poster?
Answer:
55 inches
Step-by-step explanation:
2 posters x 28 inches each = 56
221 - 56 = 165 inches
3 blank spaces on wall
165 ÷ 3 = 55 inches between posters and on either side
Pet stores selling dogs for 140 and cats for $70 yesterday the store sold 28 pets and I made 3360 how many cats were sold yesterday
Answer:
8
Step-by-step explanation:
8 × $70 = $560
20 × $140= $2800
$560 + $2800 = $3360
A bird on a long migration flies 63 kilometers per hour for 2900 kilometers how long does he fly Not simplified
Answer:
Simplified - 46
Not Simplified - 46.03174603
Step-by-step explanation:
2900 divided by 63 (2900/63)
The Simplified form would be; 46 and Not Simplified - 46.03174603
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.
We are given that bird on a long migration flies 63 kilometers per hour for 2900 kilometers.
Then we need to solve as;
2900 divided by 63
(2900/63) = 46.03174603
This is not simplified.
The simplified form will be 46.
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2. The following data set is given:5041414546364436513736494345454136Construct a dot plot:
As given by the question
There are given that the numbers;
\(50,\text{ 41, 41, 45, 46, 36, 44, 36, 51, 37, 36, 49, 43, 45, 45, 41, 36.}\)Now,
First make a table of numbers and their frequency.
So,
\(\begin{gathered} \text{Number}\rightarrow\text{frequency} \\ \text{ }36\rightarrow4 \\ \text{ 37}\rightarrow1 \\ \text{ }44\rightarrow1 \\ \text{ 45}\rightarrow3 \\ \text{ 46}\rightarrow1 \\ \text{ 49}\rightarrow1 \\ \text{ 50}\rightarrow1 \\ \text{ 51}\rightarrow1 \\ \text{ 41}\rightarrow3 \\ \text{ 43}\rightarrow1 \end{gathered}\)Now,
From the dot plot of the given numbers and their frequency.
So,
The dot plot of the given number is shown below:
3. 6x + 7y =7 4. 2x - y = -3
For the first graph
A = (-5, 2)
B = (5, -4)
To calculate the slope we will use the following formula
\(\begin{gathered} m=\frac{-4-2}{5-(-5)} \\ m=\frac{-6}{10} \\ m=\frac{-3}{5} \end{gathered}\)The answer would be m = -3/5
For the second graph
A = (-1, -1)
B = (3, 0)
To calculate the slope we will use the following formula
\(\begin{gathered} m=\frac{0-(-1)}{3-(-1)} \\ m=\frac{1}{4} \\ \end{gathered}\)The answer would be m = 1/4
For the third graph
In the third graph, we have a vertical slope at point x = 2
In this case the slope would be equal to infinity and the equation of the line would be equal to x = 2
\(m=\infty\)
(Using trig to find an angle)
Solve for x. Round to the nearest tenth of a degree, if necessary.
Step-by-step explanation:
For a RIGHT triangle Sin = opposite LEG / Hypotenuse
sin x = 45/ 83
x = arcsin (45/83) = use calculator = 32.8 degrees
Use the table below to calculate the average percent change in population in California from 2000-2009.
If California's population in 2009 was 37,000,000 and the population trend were to continue, what would the population be in the year 2015?
1.3567% is the average percent change in population in California from 2000-2009.
What is population?The term "population" is frequently used to describe the total number of people living in a particular location. To estimate the number of the residents within a certain territory, governments conduct censuses.
Population is referred to a group of people who share some established characteristics, such as region, race, culture, nationality, or religion, in sociology or population geography. The social science of demography involves the statistical analysis of populations.
average percent change in population =1.97+1.71+1.65+1.42+1.22+1.02+1.07+1.22+0.93/9
= 1.3567%
Therefore, 1.3567% is the average percent change in population in California from 2000-2009.
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Solve the following equations (Show your work)
F) 2/x-3=4
G 7/2x+5=2/3
H)7/x-9 -5=0
What is the solution to the linear equation? 6k 10. 5 = 3k 12 k = 0. 5 k = 2 k = 7. 3 k = 9.
The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.
What is Linear Equation?Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.
Here, 6k + 10.5 = 3k + 12
6k - 3k = 12 - 10.5
3k = 1.5
k = 1.5/3
k = 1/2
Thus, The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.
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7 1/2- 3 7/10 or Seven and a half subtract three and seven tenths.
Answer:
3.8 is the answer to your problem. Happy Holidays!
La suma de dos números es 1074 y su diferencia es 376.¿cuanto es el doble del menor?¿y el doble del mayor
We can write the equivalent values as -
twice the smaller = 698
twice the larger = 1450
What is function? What is expression?A function is a relationship between a dependent {y} and independent variable {x}.An expression is a combination of terms both constants and variables.Given is that sum of two numbers is 1074 and their difference is 376.
We can write the expressions as -
x + y = 1074
x - y = 376
Adding both -
2x =1074 + 376
2x = 1450
{x} = 725
&
y = 725 - 376
{y} = 349
We can write -
twice the smaller = 2y = 2 x 349 = 698
twice the larger = 2x = 2 x 725 = 1450
Therefore, we can write the equivalent values as -
twice the smaller = 698
twice the larger = 1450
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{Question in english -
The sum of two numbers is 1074 and their difference is 376. What is twice the smaller? And twice the larger}
There are 4 blocks in the top of first tier of a pyramid. 8 blocks in the second tier. 16 in the third tier. 32 in the fourth tier. How many in the 12 tier?
Answer: 8192
Step-by-step explanation:
If you want to use an equation, the equation to solve this problem is 4 • (2^x-1).
You're looking for the 12th row so replace 12 for x.
4 • (2^11) = 8192
Simplify the expression. -2.8f + 0.3f - 11 - 9 Pls can anyone answer this, I'm still trying to get used to this.
Problem:
-2.8f + 0.3f - 11 - 9
Answer:
-2.5f - 20
You combine like terms so:
-2.8f + 0.3f = -2.5f
-11 + -9 = -20
Braainly plz :))
Answer:
=−2.5f−20
Step-by-step explanation:
−2.8f+0.3f−11−9
= −2.8f+0.3f+−11+−9
Combine Like Terms:
=−2.8f+0.3f+−11+−9
=(−2.8f+0.3f)+(−11+−9)
=−2.5f+−20
Answer:
=−2.5f−20
I hope I helped!!
A
DX 105°
What is the
measure of angle D?
m/D [?]
Enter the number
of degrees.
Desired graph is attached below.
Steps to draw a desired angle are:
Draw angle ABC of measure 105 degrees.Take a point D in its interior and join BD.Measure angle ABD and angle DBC using a protractor.Add the measures of angle ABD and angle DBC together.Verify that the sum of angle ABD and angle DBC is equal to the measure of angle ABC (which is given as 105 degrees).If the sum of angle ABD and angle DBC is equal to 105 degrees, then the statement is verified.
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Complete question:
Draw an angle ABC of measure 105 degree.take a point D in its interior. Join BD. Verify by measuring that angle ABD +angle DBC=angle ABC.
Which statement defines average speed?
a. speed over time for a given period
b. time over distance for a given period
c. distance over time for a given period
d. time over speed for a given period
Answer:
the write answer is
speed over time for a given period
Step-by-step explanation:
please click the like button and follow them
Solve the following exponential equation. Round your answer to three decimal places.10ˣ = 9 x =
To solve the equation 10ˣ = 9, we find the logarithm of both sides of the equation.
\(\begin{gathered} 10^x=9 \\ \text{ taking the log of both sides, we have} \\ \log 10^x=\log 9 \end{gathered}\)Using logarithm rule, we have
\(\begin{gathered} x\log 10=\log 9 \\ \log 10=1 \\ \text{ Hence} \\ x=\log 9 \end{gathered}\)\(x=\log 9=0.954\)/
x = 0.954
would mistakenly using a linear instead of a quadratic model be more problematic in the short or long-term?
a. Short-term
b. Long-term
The misuse of a linear instead of a quadratic model be more problematic in the b. Long-term.
Using a linear model instead of a quadratic model can lead to inaccurate predictions and conclusions in the long-term. This is because a linear model assumes a constant rate of change, while a quadratic model accounts for changes in the rate of change.
In the short term, the difference between the two models may not be significant, but as time goes on, the discrepancies between the two models will become more apparent and can lead to more problematic outcomes.
Therefore, it is important to use the correct model for the situation to ensure accurate predictions and conclusions in the long term.
Hence Option b is correct.
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