Answer:
a^4+2ab^2+b^4+a^16+2ab^8+b^16
Step-by-step explanation:
(a^2+b^2)^2+(a^8+b^8)^2
(a^2+b^2)^2=(a^2+b^2)(a^2+b^2)
=a^2(a^2+b^2)+b^2(a^2+b^2)
=a^4+(ab)^2+(ba)^2+b^4
=a^4+2ab^2+b^4
(a^8+b^8)^2=(a^8+b^8)(a^8+b^8)
=a^8(a^8+b^8)+b^8(a^8+b^8)
=a^16+(ab)^8+(ba)^8+b^16
=a^16+2ab^8+b^16
(a^2+b^2)^2+(a^8+b^8)^2=(a^4+2ab^2+b^4)+(a^16+2ab^8+b^16)
the answer is a^4+2ab^2+b^4+a^16+2ab^8+b^16
i think it is simplified answer
Casey is a real estate agent. She earns 8.15% commission on each sale she makes. After working with a potential buyer for 3.5 months, she finally sold a house for $877,000. What did casey earn in commissions for this sale
Given parameters:
Commission per sale = 8.15%
Cost of house sold = $877,000
Unknown:
Amount of commission earned = ?
Solution;
The amount of commissioned earned;
= Commission per sale x cost of house sold
= [tex]\frac{8.15}{100}[/tex] x 877,000
= $71,475.5
The commission earned on this sale is $71,475.5
a) What are the two features that make this shape a square?
4 right-angles and
1
b) A quadrilateral has no pairs of parallel sides.
What two shapes could it be?
c)
A triangle has one pair of equal sides and one pair of equal angles.
What is it called?
a) a square has 4 right angles and all 4 sides are the same lengths
b) not sure, I'll edit later when and if I know
c) isosceles triangle
Can anyone do my 8th grade Imagine Math?
Answer:
sure
Step-by-step explanation:
Answer:
sure, but there questions for me to answer
Step-by-step explanation:
[24 + 9 - (4 x 2) + 11] divided by 2
Answer:18
Step-by-step explanation:
Check on a calculation
im not sure how to do this
Answer:
[tex]\frac{1}{2}, \frac{1}{4}[/tex]
Step-by-step explanation:
Each next term is half of the last term. So, the next term is 1 ÷ 21 ÷ 2 = [tex]\frac{1}{2}[/tex] The next, and last term, is half of 1/2: [tex]\frac{1}{2}[/tex] ÷ 2 = [tex]\frac{1}{4}[/tex]I hope this helps!
I am confused how they were able to get the constraints in ch6
problem 10P
In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.
However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.
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what is the difference between p= l/n(100) and p*(n+1). Please provide the explanation answer with an examples.
The difference between p = l/n(100) and p*(n+1) lies in the way they calculate a percentage value.
The former divides a number (l) by the total number of items (n) and then multiplies it by 100, while the latter multiplies a proportion (p) by the total number of items plus one (n+1). Let's illustrate this with an example. Suppose we have a survey with 100 participants, and we are interested in calculating the percentage of participants who prefer apples. If 30 participants indicate their preference for apples, we can calculate the percentage using both formulas. Using p = l/n(100), we have p = 30/100(100) = 30%. This means that 30% of the participants prefer apples. Using p*(n+1), we have p*(100+1) = p*101. If we consider p as 30/100, then p*101 = (30/100)*101 = 30.3. So, according to this calculation, approximately 30.3% of the participants prefer apples. The key distinction is that p = l/n(100) directly calculates the percentage based on the given number (l) and the total number (n), while p*(n+1) scales the proportion (p) by considering the total number of items plus one (n+1).
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HELP FREE 10 POINTS PLEASE HELP FASTTT
Answer:
i cant see the question very well but go to cymath dot com
Step-by-step explanation:
Answer:
I cant see it well.
Step-by-step explanation:
What values of x make the equation true?
(x - 2)2 – 16 = 0
A(x = -2 or x = 6
B(x = -6 or x = 2
C) x = -2 or x = -6
D) x = 6 or x = 2
|
Answer:
x =234567
Step-by-step explanation:
i took the test
Emma's luggage may be lost with probability p = 0.1. The luggage and its content are estimated to be worth 316.05. Emma's utility insure against the loss of the luggage, what is the maximum insurance premium I that Emma would be willing to pay?
Emma's luggage may be lost with probability p = 0.1. The luggage and its content are estimated to be worth 316.05. Emma's utility insures against the loss of the luggage. What is the maximum insurance premium I that Emma would be willing to pay?
Solution:To calculate Emma's maximum insurance premium, let's start by calculating her expected utility if she doesn't insure her luggage.U (no insurance) = 0.9 x U (316.05) + 0.1 x U (0)where U (316.05) is Emma's utility function for 316.05 value, and U (0) is Emma's utility function for a loss of the luggage. Emma has not insured her luggage, hence, if it gets lost, she will get 0 value for it.A sum of 316.05 is worth more than 0, Emma will still get a certain amount of utility, which will be larger than 0.
Therefore, Emma's utility function is likely to be positive, so let us assume that U (0) = 0.If we plug this information into the above equation, we will have:U (no insurance) = 0.9U (316.05) + 0.1 × 0 = 0.9U (316.05)Hence, Emma's expected utility, if she doesn't insure her luggage, will be 0.9U (316.05).However, if Emma chooses to insure her luggage, she will pay the insurance premium I. If the luggage gets lost, she will get reimbursed by the insurance company for 316.05. Her expected utility function, if she insures her luggage, will be:
U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05)Where U (316.05 – I) is Emma's utility function for 316.05 – I value. Emma will get this amount if the luggage is not lost, but she has to pay the premium I.If we compare Emma's expected utility when she insures her luggage and when she doesn't insure her luggage, we will have the following inequality:
U (insurance) ≥ U (no insurance)0.9U (316.05 – I) + 0.1U (316.05) ≥ 0.9U (316.05)Let us solve this inequality:0.9U (316.05 – I) + 0.1U (316.05) ≥ 0.9U (316.05)0.9U (316.05 – I) ≥ 0.8U (316.05)U (316.05 – I) ≥ 0.89U (316.05)Since U (316.05 – I) is a decreasing function, it will get smaller as I gets larger.
Hence, to maximize Emma's expected utility, we need to minimize the insurance premium I that she pays to the insurance company.If Emma doesn't insure her luggage, her expected utility will be 0.9U (316.05)Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage.U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05)0.9U (316.05 – I) ≥ 0.8U (316.05)U (316.05 – I) ≥ 0.89U (316.05)Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage. Hence,Emma's maximum insurance premium I that Emma would be willing to pay is $31.35.
If Emma chooses to insure her luggage, she will pay the insurance premium I. Her expected utility function, if she insures her luggage, will be U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05). Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage. Therefore, Emma's maximum insurance premium I that Emma would be willing to pay is $31.35. The utility function is considered decreasing as Emma has to pay more premium.
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Pls help ASAP will make brainlist
Answer:
I BELIEVE THIS IS THE FIRST ONE!!1 HOPE THIS HELPS
Step-by-step explanation:
Solve the following system of equations using any method (substitution or elimination) SHOW YOUR WORK
y = -2x + 3
-4x + 2y = 8
-1/4 = -0.25 and 7/2 = 3.5
============================================
Work Shown:
Plug the 1st equation into the 2nd to solve for x.
-4x + 2y = 8
-4x + 2(-2x+3) = 8
-4x - 4x + 6 = 8
-8x + 6 = 8
-8x = 8-6
-8x = 2
x = 2/(-8)
x = -1/4
That's plugged into the other equation to determine y.
y = -2x + 3
y = -2(-1/4) + 3
y = 1/2 + 3
y = 1/2 + 6/2
y = (1+6)/2
y = 7/2
Solve the equation. 5+3|x+2|= 38 A) 10,-10 B) 9.-13) C) 7,-21 D) 5,-5)
which expression i equivalent to this polynomial expression (5xy^2+3x^2-7)*(3x^2y^2-cy^2+3y^2+4)
Answer:
Option (B)
Step-by-step explanation:
By adding two polynomials,
(5xy² + 3x² - 7) + (3x²y² - xy² + 3y² + 4)
Now by adding the similar terms,
= (5xy² - xy²) + 3x² + 3x²y² + 3y² - 7 + 4
= 4xy²+ 3x² + 3x²y² + 3y² - 3
= 3x²y² + 4xy² + 3x² + 3y² - 3
Therefore, Option (B) will be the correct option.
Write the equation of the line parallel to the given line and passing through the given point.
e
y=6 through (3,4)
Answer:
y = 6x - 14
Step-by-step explanation:
Plug-in the given to point-slope formula:
m=6
x1= 3
y1= 4
y-y1= m(x-x1)
y- 4 = 6(x - 3)
y- 4 = 6x - 18
y - 4 + 4 = 6x - 18 +4
y = 6x - 14
QUESTION 6 Determine whether the set {P₁, P2, P3} is linearly independent in P2, where p₁ = 2 + x + 3x² + 4x³, p₂ = 4+3x+2x² + x³ and p3 = 1 + 2x + 3x² + 4x³. Show all working. [7 marks]
We need to determine whether the set {P₁, P₂, P₃} is linearly independent in P₂, where P₁ = 2 + x + 3x² + 4x³, P₂ = 4 + 3x + 2x² + x³, and P₃ = 1 + 2x + 3x² + 4x³. In this problem, we will perform the necessary calculations to determine the linear independence of the set.
To determine the linear independence of the set {P₁, P₂, P₃}, we need to check if the only solution to the equations c₁P₁ + c₂P₂ + c₃P₃ = 0, where c₁, c₂, and c₃ are constants, is the trivial solution (c₁ = c₂ = c₃ = 0).
We set up the equation as follows:
c₁(2 + x + 3x² + 4x³) + c₂(4 + 3x + 2x² + x³) + c₃(1 + 2x + 3x² + 4x³) = 0
Multiplying through and combining like terms, we get:
(2c₁ + 4c₂ + c₃) + (c₁ + 3c₂ + 2c₃)x + (3c₁ + 2c₂ + 3c₃)x² + (4c₁ + c₂ + 4c₃)x³ = 0
For this equation to hold true for all values of x, each coefficient of x and its powers must be zero. Therefore, we have the following system of equations:
2c₁ + 4c₂ + c₃ = 0 (1)
c₁ + 3c₂ + 2c₃ = 0 (2)
3c₁ + 2c₂ + 3c₃ = 0 (3)
4c₁ + c₂ + 4c₃ = 0 (4)
Solving this system of equations, we find that the only solution is c₁ = c₂ = c₃ = 0. This implies that the set {P₁, P₂, P₃} is linearly independent in P₂.
Therefore, the set {P₁, P₂, P₃} is linearly independent in P₂.
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a folder and a paper clip cost $1.10 in total. the folder costs $1.00 more than the clip. how much does the paper clip cost?
The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.
Let's solve this problem step by step:
Let's assume the cost of the paper clip is x dollars.
According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).
The total cost of the folder and the paper clip is $1.10, so we can write the equation:
x + (x + $1.00) = $1.10
Combining like terms, we have:
2x + $1.00 = $1.10
Subtracting $1.00 from both sides of the equation, we get:
2x = $0.10
Dividing both sides by 2, we find the value of x:
x = $0.10 / 2
x = $0.05
Therefore, the paper clip costs $0.05.
In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.
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"Define the difference between experimental data and non
experimental data. Give two examples of experimental data and two
examples of non experimental data and state why each, in detail,.
Experimental data and non-experimental data differ in their method of collection and the level of control over the variables involved.
Experimental data is obtained through controlled experiments where researchers manipulate independent variables to observe their effects on dependent variables. Non-experimental data, on the other hand, is collected without direct manipulation of variables, often through observation or existing records.
Experimental data involves conducting controlled experiments to gather information. In such cases, researchers actively manipulate variables to study their impact on the outcome. For example, in a study investigating the effects of a new medication on blood pressure, participants may be randomly assigned to receive either the medication or a placebo. The researchers then measure and compare the participants' blood pressure readings to determine the medication's effectiveness. In another example, an experiment could be conducted to examine the impact of different fertilizers on plant growth by treating different groups of plants with specific fertilizers and measuring their growth rates.
Non-experimental data encompasses information collected without direct manipulation of variables. One example is observational data, where researchers observe and record naturally occurring events or behaviors. For instance, a study on animal behavior might involve observing a group of primates in their natural habitat and documenting their social interactions, feeding patterns, or communication. Another example of non-experimental data is survey data, which involves gathering information through questionnaires or interviews. For instance, a market research survey may ask consumers about their preferences for different brands of a product or their likelihood of purchasing certain items.
In experimental data, researchers have control over variables, allowing them to establish cause-and-effect relationships between the independent and dependent variables. Non-experimental data, however, lacks such control, making it more challenging to establish causal relationships. While experimental data provides strong evidence for drawing conclusions, non-experimental data is valuable for exploring relationships, describing phenomena, and generating hypotheses that can be further tested through experiments.
In summary, experimental data is collected through controlled experiments where variables are manipulated, while non-experimental data is obtained through observation or existing records without direct manipulation. Experimental data allows for establishing cause-and-effect relationships, while non-experimental data provides valuable insights for exploration and hypothesis generation. Examples of experimental data include studies on medication effects or fertilizer impact, while examples of non-experimental data include observational studies on animal behavior or surveys on consumer preferences.
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A soccer field is 120 meters long. A soccer player rins from one end of the field to the other end 5 times.
How many meters did he run?
Answer:
The answer is 600 metres.
Which angles are congruent to each other?
Answer:
The angles that are congruent due to being vertical angles are:
m∠2 and m∠4
m∠1 and m∠3
m∠8 and m∠6
m∠5 and m∠7
I need help Real quick! ASAP, One/Two Step Equation Word Problems | Define the Variables for each problem.
6) Braden Scored 9 fewer points on his math test than ava did. If av scored an 86, What was Braden's score?
7) Pocket folders are $0.39 each at the store. If Carolyn paid $7.02, how many did she buy?
Answer:
6) Braden scored 77.
7) Carolyn bought 18 pocket folders.
Step-by-step explanation:
6) 86 - 9 = 77
7) 0.39x = 7.02
step 1- divide both sides by 0.39
x = 18
Answer:
77 and and i willl show you irl rn im just next to your room XD
Step-by-step explanation:
Mrs. Roberts has a square garden with an area of 36 square feet. She wants to put a fence around only 3 sides of her garden. How many feet of fencing material does she need? a. 9 feet b. 27 feet C. 36 feet d. 18 feet ouoc hoyes una ramn before pushing them onto a platform to
Answer:
27 feet.
Step-by-step explanation:
This is quite simple. As a square has equal lenght and width we can tell that 6x6=36. So each side has a lenght of 6 feet. With only 3 sides needed for fencing, 6x3=27. Mrs. Roberts needs 27 feet of fencing.
Solve the system of equations by the addition method.
8x- 7= -13
5x+ y= 0
Answer:
x=-3/4 y=15/4
Step-by-step explanation:
translate the following question= You must be at least 18 years old to vote
Answer:
v >=18
Step-by-step explanation:
Really don't know how to explain it
4 times the quantity of 20 decreased by a number
Answer:
4 x 20 - X
Step-by-step explanation:
4 times 20 - X
x is the unknown variable
Unknown variable = what you are trying to find.
help asap???
A box contains 5 black shirts, 8 blue shirts, 7 black pants, and 10 blue pants. Determine the probability of randomly selecting a black piece of clothing or a pair of pants. Use to explain your answer.
Answer:
the probability of picking a black clothing is 12/30 (6/15), and the probability of picking a pair of pants is 17/30
Step-by-step explanation:
First we have to figure out how much will it be out of, to do that you have add the amount of clothing there is (in this case 30).
Determine how many pairs of black clothing:
you must add up the amount of black clothes so 5+7=12, so there are 12 black clothing and 30 in total so the chance is 12/30 if you want it reduced it could be 6/15.
determine how many pairs of pants:
Now it's the same as last step add up all the pairs of pants the question has so 7+10=17. so there are 17 pants out of 30 pieces of clothes so 17/30
(sorry if this isnt a good explanation, I tried)
LeBron charges $15 to cut hair. He needs $200 for the new bicycle that he wants. Write and solve an equation to find out how many heads must he cut to make $200? pls help
A) 115 degrees
B) 120 degrees
C) 15 degrees
D) 95 degrees
Answer:
A
Step-by-step explanation:
pls give a brainliest
❤ Hello Buddy!! ❤
The answer is below!!
-------------------------------------------------------------------------------------------------
Step-by-step explanation:
[tex](8x-5)+2x+(3x-10)=180[/tex]
[tex]13x-15=180[/tex]
[tex]+15 +15[/tex]
[tex]13x=195[/tex]
[tex]x=15[/tex]
[tex]8(15)-5=115[/tex]°
P.S Tell me if this is wrong.....
[tex]GoodLuck!![/tex]
#[tex]Be[/tex] [tex]Bold[/tex]
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[tex]_{Loserbrazts}[/tex]
LWhat is equivalent to 1/4
Your friend prints a 4-inch by 6-inch photo for your from the school dance. All you have is a 8-inch by 10-inch frame. Can you dilate the photo to fit the frame? Explain your reasoning.
Yes, it is possible to dilate a photo in order to fit the 8-inch by 10-inch frame. By dilating the photo, it will be enlarged to fit the frame. Dilating a photo involves scaling it up or down to fit a particular size.
This is possible since dilating a photo is done proportionally. This implies that if the height and width of the photo are multiplied by the same number, the dimensions of the photo will increase or decrease in size while the proportions will remain the same. Therefore, if the 4-inch by 6-inch photo is dilated by a scale factor of 2, the resulting dimensions will be 8 inches by 12 inches. The photo can then be cut down to 8 inches by 10 inches to fit into the frame. It is possible to dilate a photo in order to fit the 8-inch by 10-inch frame. Dilating a photo involves scaling it up or down to fit a particular size. This is possible since dilating a photo is done proportionally. If the height and width of the photo are multiplied by the same number, the dimensions of the photo will increase or decrease in size while the proportions will remain the same.Therefore, if the 4-inch by 6-inch photo is dilated by a scale factor of 2, the resulting dimensions will be 8 inches by 12 inches. The photo can then be cut down to 8 inches by 10 inches to fit into the frame. By dilating the photo, it will be enlarged to fit the frame.The process of dilating a photo can also be represented as a mathematical equation. The equation is as follows:y = kx where:y is the new height of the photo x is the original height of the photo k is the scale factor If the scale factor, k, is greater than 1, the photo will be enlarged, while if the scale factor is less than 1, the photo will be reduced. Therefore, if the scale factor, k, is 2, then the height of the photo will be multiplied by 2, resulting in a photo that is 8 inches by 12 inches. The photo can then be cut down to 8 inches by 10 inches to fit into the frame.
In conclusion, it is possible to dilate a photo in order to fit the 8-inch by 10-inch frame. Dilating a photo involves scaling it up or down to fit a particular size. This is done proportionally, meaning that if the height and width of the photo are multiplied by the same number, the dimensions of the photo will increase or decrease in size while the proportions will remain the same. Therefore, if the 4-inch by 6-inch photo is dilated by a scale factor of 2, the resulting dimensions will be 8 inches by 12 inches. The photo can then be cut down to 8 inches by 10 inches to fit into the frame.
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