Answer:
1 solution, x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
We can factor [tex]4x^2 - 4x + 1[/tex] first:
[tex](2x-1)(2x-1)[/tex]
= [tex](2x-1)^2[/tex]
To find the solution, we can do:
[tex]2x-1=0[/tex]
Let's find x now:
2x = 1
x = [tex]\frac{1}{2}[/tex]
Therefore, there is 1 solution and it is x = [tex]\frac{1}{2}[/tex]
Find the HCF of 17 and 19.
Answer:1
Step-by-step explanation:
do you mean gcf? if so its 1.
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pie. (No approximations)
Answer: x x x x x x x
Step-by-step explanation:
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Choose the numbers to complete the statement about the expression. 8/10 + 2/6 Part A The numerator in the first fraction is closest to Choose... , so the fraction is nearest to Choose... . Part B The numerator in the second fraction is closest to Choose... , so the fraction is nearest to Choose... . Part C The value of the expression can be estimated as Choose... + Choose... = Choose... . 7 / 7 5 of 7 Answered
Part A: The numerator in the first fraction is closest to 8, so the fraction is nearest to 1.
To see this, we can simplify the fraction 8/10 by dividing both the numerator and denominator by the greatest common factor, which is 2. This gives us:
8/10 = 4/5
Since the numerator of the simplified fraction is closest to 5, we can estimate that the value of the first fraction is nearest to 1.
Part B: The numerator in the second fraction is closest to 2, so the fraction is nearest to 1/3.
To see this, we can simplify the fraction 2/6 by dividing both the numerator and denominator by the greatest common factor, which is 2. This gives us:
2/6 = 1/3
Since the numerator of the simplified fraction is closest to 1, we can estimate that the value of the second fraction is nearest to 1/3.
Part C: The value of the expression can be estimated as 1 + 1/3 = 1 1/3.
To see this, we can add the two estimated fractions from parts A and B:
1 + 1/3 = 3/3 + 1/3 = 4/3
Since 4/3 is closer to 1 1/3 than any other whole number or fraction, we can estimate that the value of the expression is nearest to 1 1/3.
4/5=3/a what is a (solve for the variable using cross products)
Answer:
15/4 is a prime number so that's the answer to this question
Step-by-step explanation:
4/5 = 3/a
4•a = 5•3
4a = 15
4a/4 = 15/4
a = 15/4
How many different simple random samples of size 4 can be obtained from a population whose size is 45?
The number of different simple random samples of size 4 that can be obtained from a population of size 45 is 1,011,690. This means there are over a million possible combinations of individuals that can be selected from the population.
The number of different simple random samples of size 4 that can be obtained from a population of size 45 is given by the combination formula:
C(45, 4) = 45! / (4! * (45 - 4)!) = (45 * 44 * 43 * 42) / (4 * 3 * 2 * 1) = 1,011,690
Therefore, there are 1,011,690 different simple random samples of size 4 that can be obtained from a population of size 45. This means that if we were to randomly select 4 individuals from the population, there would be over a million possible combinations of individuals that we could select.
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A statistical study involves a data set of the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014.
What type of observational study is this?
A) cross-sectional study
B) Retrospective study
C) Prospective study
D) Experiment
The study described is a retrospective study.
A retrospective study, also known as a historical study, involves the collection and analysis of data from past events or behaviors. In this case, the study involves collecting and analyzing data on the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014. The data has already been collected in the past, and the researcher is analyzing it to draw conclusions or make inferences about the shoe designs.
In contrast, a cross-sectional study involves the collection of data from a population at a specific point in time, while a prospective study (also known as a longitudinal study) involves the collection of data over a period of time to observe changes or trends in a population. An experiment involves the manipulation of one or more variables to observe their effect on a dependent variable, with the aim of establishing cause-and-effect relationships.
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Rice costs $x per kg.
Potatoes cost $(x+1) per kg.
The total cost of 12kg of rice and 7kg of potatoes is $31.70.
What is the cost of 1kg of rice?
Show your working kindly.
Answer:
x = 1.3
Step-by-step explanation:
cost of rice for 12kg = 12 * x ($x for each kg)
cost of potatoes for 7kg = 7 * (x+1)
total cost = 12 * x + 7 * (x+1) = 31.7
12x + 7x + 7 = 31.7
19x + 7 = 31.7
subtract 7 from both sides to isolate the variable and its coefficient
19x = 24.7
divide both sides by 19 to find x
x = 1.3
A circle can pass through the vertices of right angle triangle mAC=3cm m BC=4cm m
Answer: the awnser is 43
Step-by-step explanation:
what is long division polynomials calculator
A long division polynomials calculator is an online tool used to perform polynomial long division for dividing polynomials.
A long division polynomials number cruncher is an internet based device that performs polynomial long division, a strategy used to separate one polynomial by another. This cycle is like long division with numbers, yet rather than partitioning by single-digit numbers, it includes separating by a polynomial of at least one terms. The interaction includes partitioning the most extensive level term of the profit by the most extensive level term of the divisor, then increasing the divisor by the remainder and taking away the outcome from the profit. The subsequent articulation is the rest of the division. The interaction is then continued involving the rest of the new profit, until the level of the rest of not exactly the level of the divisor. An internet based long division polynomials mini-computer robotizes this interaction, permitting clients to enter the profit and divisor polynomials and get the remainder and remaining portion. This can be helpful for understudies and experts in fields like math, physical science, and designing, who need to partition polynomials for computations and critical thinking.
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what is 103 kg to lbs?
The value of 103 kg into lbs can be converted by multiplying kilogram by 2.204622 so the answer is 227.07 pounds.
Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.
The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.
The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.
Pounds = kilograms × 2.20462262184878
= 103 x 2.20462262184878
= 227.07 pounds or lbs.
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A 2020 Ford Escape is valued at $24,885 and loses about 14% of its value each year,
on average. After how many years will the car be worth half its original amount? Round
your answer to the nearest hundredth (2 decimal places) to get your next clue!
Please show work!!
The required it will take about 1.99 years for the car to be worth half its original amount. Rounded to two decimal places, the answer is 1.99 years.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
Let V be the value of the car after ⁿ years. Since the car loses 14% of its value each year, its value can be expressed as:
V = 24885(0.86)ⁿ
We want to find how many years it will take for the value of the car to be half its original amount, which means:
V = 24885/2 = 12442.5
So we need to solve for t in the equation:
12442.5 = 24885(0.86)ⁿ
Dividing both sides by 24885, we get:
0.5 = 0.86ⁿ
Taking the natural logarithm of both sides, we get:
ln(0.5) = ln(0.86ⁿ) = n ln(0.86)
Solving for n, we get:
n = ln(0.5) / ln(0.86) ≈ 1.99
Therefore, it will take about 1.99 years for the car to be worth half its original amount. Rounded to two decimal places, the answer is 1.99 years.
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Use the terms domain, range independent variable and dependent variable to explain how function relates one variable to another variable. Fill in the blanks below: A function is a rule that assigns to each value of the in the unique value of the in tne
A function is a rule that assigns to each value of the independent variable in the domain unique value of the dependent variable in the range.
The domain of a function is defined as the set of all possible values that a function can take as input.
The range of a function is defined as the set of all values of a function that it takes as output.
The variable that represents the input values of a given function is called the independent variable.
The variable that represents the output values of a given function is called the dependent variable.
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How to convert 941 schedule b?
Converting a 941 Schedule B can be broken down into a few simple steps are include the employee's names, Social Security numbers, and total wages paid during the pay period.
First, you'll need to gather all the necessary information required for the conversion process.
Once you have this information, you'll need to calculate the total amount of taxes withheld from each employee's paycheck. This is where mathematical calculations come into play. To calculate the tax withheld, you'll need to use the tax withholding tables provided by the IRS.
These tables will help you determine how much tax to withhold based on each employee's income and filing status. The total amount of tax withheld from each employee's paycheck is then added up to get the total amount of tax withheld for the entire pay period.
Finally, you'll need to transfer this information onto the 941 Schedule B. This document is used to report the total amount of tax withheld for each pay period, and it's essential that the information is accurate.
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Which type of triangle can be constructed with a 50° angle between two 8-inch sides? A. Equilateral B. Isosceles C. Scalene D. Obtuse.
The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.
This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.
This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.
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Dude please anyone help can anyone show me how to do this
According to the model, -9 (7v + 9.7) = -63v - 87.3. The solution has been obtained by using area model.
What is an area model?
An area model is a rectangular graphic used in mathematics to multiply and divide two numbers or expressions. The length and breadth of the rectangle are determined by the factors, also known as the quotient and divisor.
We are given an expression as -9 (7v + 9.7).
Using area model,
-9 * 7v = -63v
Similarly,
-9 * 9.7 = -87.3
On combining both, we get
-9 (7v + 9.7) = -63v - 87.3
Hence, the value for the expression is -63v - 87.3.
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when computing the correlation coefficient, what is the effect of changing the order of the variables on r?
Changing the order of the variables when computing the correlation coefficient has no effect on the value of "r" as it measures the strength and direction of the linear relationship between two variables.
The correlation coefficient denoted as "r", measures the energy and path of the linear dating between two variables. It ranges from -1 to one, in which -1 shows a perfect negative correlation, 0 indicates no correlation, and 1 shows an ideal advantageous correlation.
Whilst computing the correlation coefficient, the order of the variables does not have an effect on the cost of "r". This means that whether we calculate the correlation between variable x and variable y, or variable y and variable x, the resulting correlation coefficient will be equal.
That is due to the fact the correlation coefficient measures the degree of linear association between two variables, no matter which variable is taken into consideration because of the explanatory variable and which one is taken into consideration because of the response variable.
Therefore, the correlation between x and y could be similar to the correlation between y and x. But, it's important to observe that the translation of the correlation coefficient may additionally range depending on the research query and the context wherein it's far used.
The course of the connection among variables may also have one-of-a-kind implications relying on the specific state of affairs being analyzed.
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On Friday nights, a television network airs four sitcoms and three dramas on a fixed schedule. These seven shows are the network's "Friday night line-up. " The network conducted a study that determined how many people watch these shows among three groups: women, men, and overall. For each group, the seven shows were idenitified as either a drama or sitcom and ordered from most watched to least watched. Based on this information, determine if each set is well-defined
The set of all shows for the overall group would be well-defined because it would include all seven shows from the Friday night line-up, ordered from most watched to least watched among all viewers.
Well-defined setA set is well-defined if it is clear which elements belong to the set and which do not. In this case, each set (the set of sitcoms, the set of dramas, and the set of all shows) is well-defined because each show is clearly identified as either a sitcom or a drama and is ordered from most watched to least watched within its respective group (women, men, and overall).
Therefore, each set is well-defined.
For example, the set of sitcoms for the women's group would be well-defined because it would include the four sitcoms from the Friday night line-up, ordered from most watched to least watched among women. Similarly, the set of dramas for the men's group would be well-defined because it would include the three dramas from the Friday night line-up, ordered from most watched to least watched among men.
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What is the conversion of 350 euros to dollars ?
The converted value of the currency 350 euros to dollars is equal to 374.1493 dollars.
Euro and the dollars both are units which represents the currency of a particular country.The value of currency changes time to time.The value of One Euro in dollars in todays time is equal to:
1 Euro = 1.068998 U.S. dollars
Now substitute the required converted Euro value we get ,
⇒ 350 Euros = ( 350 × 1.068998 ) dollars
⇒ 350 Euros = ( 374.1493 ) dollars
Therefore, the value of the currency after conversion 350 euros to dollars is equal to 374.1493 dollars.
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Use the graphing tool to find the local minimum and the local maximum for the given function. over the interval [–3, –1], the local minimum is . over the interval [–1, 0], the local maximum is . over the interval [0, 3], the local minimum is .
Over the interval [-3, 1], the local minimum is 0, Over the interval [-1, 0], the local maximum is 4.39, Over the interval [0, 3], the local minimum is -32.
By plot the function on a graphing tool and visually identify the local minimum and maximum values over the specified intervals .A function that is continuous for an interval [a,b], a is not equal to b, then there is a local maximum and minimum if:
Local maximum: f(d) > f(x), ∀ x ≠ d, a ≤ d ≤ b
Local minimum: f(c)< f(x), ∀ x ≠ to c, a≤c≤b
we can proceed to solve each question:
Over the interval [-3, 1], the local minimum is 0,
since f(-2) < f(x), ∀ x ≠ -2,-3 ≤ x ≤ -1 .
Over the interval [-1, 0], the local maximum is 4.39,
since f(-0.8) > f(x), ∀ x ≠ -0.8, -1 ≤ x ≤ -1.
Over the interval [0, 3], the local minimum is -32,
since f(-2) < f(x), ∀ x ≠ -2.0 ≤ x ≤3.
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Answer:
0
4.39
-32
Step-by-step explanation:
on edge
Sean's science class is competing to see who can build the tallest tower. Each group of students gets 10 newspapers and 2 yards of tape. Sean's group decides to roll up each of their newspapers. Then, they tape each roll with 4 inches of tape. How many inches of tape do they have left?
The endpoints of WX are W(5,-3) and X(-1,-9).
+11
-10 -8
-6 -4
A. 6
2
What is the length of WX?
B. 12
-2
YA
10
+8
--2
-4
--6
-8
-10
2
4 6
W
8
10
The length of segment WX is given as follows:
8.5 units.
What is the distance between two points?Suppose that we have two points with coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
The shortest distance between them is given by the equation presented as follows:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The length of a segment is given by the distance between it's two endpoints.
Hence the length of segment WX is obtained as follows:
WX = sqrt((-1 - 5)² + (-9 - (-3))²)
WX = 8.5 units.
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A TV that usually sells for $177. 21 is on sale for 15% off. If sales tax on the TV is 7%, what is the price of the TV, including tax?
The price of the TV, including tax, is $161.17 rounded to the nearest cent. To find the price of the TV including tax, we need to calculate the sale price of the TV after the 15% discount, add the sales tax, and then round to the nearest cent.
Here are the steps:
Calculate the sale price after the 15% discount:
Sale price = Original price - Discount amount
Sale price = $177.21 - (15% * $177.21)
Sale price = $150.63
Calculate the sales tax on the sale price:
Sales tax = 7% * $150.63
Sales tax = $10.54
Add the sales tax to the sale price:
Price including tax = Sale price + Sales tax
Price including tax = $150.63 + $10.54
Price including tax = $161.17
Therefore, the price of the TV, including tax, is $161.17 rounded to the nearest cent.
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What is the smallest angle θ1θ1 for which a laser beam will undergo total internal reflection on the hypotenuse of the glass prism in the figure? Express your answer using two significant figures.
The smallest angle θ1 for which a laser beam can undergo total internal reflection on the hypotenuse of a glass prism is 41.8°, expressed with two significant figures
The smallest angle θ1 for which a laser beam can undergo total internal reflection on the hypotenuse of a glass prism can be calculated using the law of total internal reflection. This law states that when a ray of light is incident on the surface separating two media of different refractive indices, the angle of incidence (θ1) must be greater than a certain critical angle (θc) in order for total internal reflection to occur.
Calculating the critical angle of the hypotenuse of a glass prism can be done by using Snell’s Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media. In this case, the two media are air and glass, with refractive indices of 1 and 1.5 respectively.
Using Snell’s Law, we can calculate the critical angle of the hypotenuse as θc = sin⁻¹ (1/1.5) = 41.8°.
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what is derivative calculator symbolab
Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.
To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.
The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.
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The table displays data collected, in meters, from a track meet.
one third 2 4 1
7 two thirds four fifths five halves
What is the median of the data collected?
Answer:
The answer to your question is, 2 meters.
Step-by-step explanation:
We know that a median is the middle number in a sorted, ascending or descending list of numbers.
How to caluclate it:
Collected date: 1, 4, 6, 2, 4, 3, 2/3, 1/3, 1/2
Rearreange the date in accending order:
1/3, 1/2, 2/3, 1, 2, 3, 4, 4, 6
Next we should always pick the middle of the number in the arranged data..:
Media would = 2 meters
Thus, your answer is, 2 meters
What is example and or statements in statistics?
Example and or statements in statistics are logic statements used in statistics to describe the probability of events occurring together (and) or separately (or)."
The "and" statement is used to describe the probability of two or more events occurring together (to calculate the joint probability of multiple events).
For example, the probability of rolling a 4 on a fair die and flipping a head on a fair coin is,
P(rolling a 4 AND flipping a head) = P(4) x P(head)
=(1/6) x (1/2) = 1/12 = P(A)
The "or" statement is used to describe the probability of one or more events occurring (to calculate the probability of at least one event).
For example, the probability of rolling a 4 on a fair die or flipping a head on a fair coin is,
P(rolling a 4 OR flipping a head) = P(4) + P(head) - P(A)
= (1/6) + (1/2) - (1/12) = 7/12
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What’s 4 1/3 as improper fraction
Answer:
Step-by-step explanation:
13/3 is the answer
Answer:
13/3
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
3 × 4 = 12
Step 2
Add the answer from Step 1 to the numerator
12 + 1 = 13
Step 3
Write answer from Step 2 over the denominator
13/3
please mark as brainliest if it helped
:)
When can a correlation coefficient based on an observational study be used to support a claim of cause and effect?
Never
When the correlation coefficient is close to -1 or +1.
When the correlation coefficient is equal to -1 or +1.
When the scatterplot of the data has little vertical variation.
A correlation coefficient based on an observational study cannot be used to support a claim of cause and effect. The correct answer is A: never.
Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.
To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.
Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.
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Estadio Azteca, a stadium in Mexico City, has a capacity of 1. 04 X 10% people. One day,
spectators filled Estadio Azteca in 25 minutes. What was the average number of people
who entered the stadium per minute? Express your answer in scientific notation.
1. What division expression represents the average number of people
per minute?
2. How would you express the divisor in scientific notation?
3. Rewrite your division expression from Exercise 1 with the divisor
expressed in scientific notation.
4. Use the Associative Property to regroup. Then simplify.
5. In scientific notation, what was the average number of people who
entered Estadio Azteca per minute?
1. The division expression represents the average number of people per minute is (1.04 x 10⁶) / 25
2. The divisor in scientific notation is (2.5 x 10¹)
3. The rewritten expression is (1.04 x 10⁶) / (2.5 x 10¹)
4. The simplified expression is (1.04 x 10⁶) / (2.5 x 10¹)
5. The average number of people who entered Estadio Azteca per minute is 4.16 x 10⁴.
1. The division expression that represents the average number of people per minute is the total number of spectators who filled Estadio Azteca (1.04 x 10⁶) divided by the amount of time it took them to enter (25 minutes). This expression can be written as
=> (1.04 x 10⁶) / 25
2. To express the divisor (25) in scientific notation, we would need to move the decimal point three places to the left, giving us
=> (2.5 x 10¹)
3. Rewriting the division expression from Exercise 1 with the divisor expressed in scientific notation, we get
=> (1.04 x 10⁶) / (2.5 x 10¹)
4. We can use the Associative Property to regroup the expression as
=> (1.04 x 10⁶) / (2.5 x 10¹)
=> 4.16 x 10⁴.
5. In scientific notation, the average number of people who entered Estadio Azteca per minute was 4.16 x 10⁴.
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what is 2 meters in inches
Two meter is approximately equal to 78.7402 inches
To convert 1 meter to inches, we can use the following formula:
1 meter = 39.3701 inches
The conversion factor is 39.3701
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in inches = conversion factor × The length in meter
Substitute the values in the equation
2 meter = 39.3701 × 2
Multiply the numbers
= 78.7402 inches ( rounded to four decimal places )
Therefore, one meter is 78.7402 inches
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