The statement is referring to a market economy, where supply and demand forces affect the production and consumption decisions and there is little to no government control in such a system.
In a market economy, individuals and businesses make the decisions regarding production and consumption, and prices are determined by the interaction of supply and demand. The market is seen as the most efficient allocation mechanism, as prices communicate information about relative scarcities and help to direct resources to their most valuable uses. However, market economies may result in income inequality and market failures, where the market fails to allocate resources efficiently. Government intervention in a market economy is limited to correcting market failures and ensuring a level playing field.
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Describe fully the single transformation that maps triangle A onto triangle B.
It is probably a 90 degree turn then a reflection from the x-axis to the right since you do all corners of Triangle A and do a 90 degree turn, it turns to Triangle B.
Mark me Brainliest. :D
Answer:
reflection
Step-by-step explanation:
A reflects in line y=x
If the area ratio is 256:361, then the perimeter ratio is
Answer:
16:19
Step-by-step explanation:
Find the specified nth term in the expansion of the binomial. (x - 5)^6, n = 7
The seventh term of the given binomial expansion is; 15625
How to solve Binomial Expansion Theorem?The binomial theorem states the expansion of (a + b)ⁿ as the sum of
n + 1 terms given by the binomial expansion formula that has the binomial coefficient as (n, k) = n!/((n - k)!(k!))
We are looking at the expression;
(x - 5)⁶
The objective is to evaluate the 7th term of the expansion.
Using the formula;
t_r + 1 = (n, r) * a^(n - r) * b^(r)
we can calculate the 7th term for n = 6, r = 6, a = x , b = −5.
t₇ = (6, 6) * x⁶⁻⁶ * (-5)⁶
t₇ = 15625
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You deposit $100 in an account with an APR of 8% and continuous compounding. How much will you have after 10 years?
Answer:
$315.89
Step-by-step explanation:
I = p(1+r/100)^t
= $215.89
Total = P + I
= $315.89
Please help needed asap!!
Answer:
Given that `x=10`, we can find the value of `a` and `b` by substituting the value of `x` into the given expressions for `a` and `b`.
For `a`, we have: `a = 5x^2/2`. Substituting `x=10`, we get: `a = 5(10)^2/2 = 250`.
For `b`, we have: `b = 2x^2(x-5)/10x`. Substituting `x=10`, we get: `b = 2(10)^2(10-5)/10(10) = 100`.
Therefore, when `x=10`, the value of `a` is 250 and the value of `b` is 100.
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For the factored expression you said distributive property to write in equivalent equation:
9(7a + 6b)
Answer:
63a + 54b
Step-by-step explanation:
9 x 7 = 63
9 x 6 = 54
Drew’s goal was to earn $150 during a four-week period in the summer.
A. The first week, Drew earned a 50% of his goal amount. What was the total amount of money Drew earned the first week? Show or explain your answer.
B. The second week, Drew earned 50% of the part of his goal amount that he had left to earn after the first week. What was the total amount of money that Drew earned the second week?
C. The third week, Drew earned 50% of the part of his goal amount that he had left to earn after the second week. What was the total amount of money that Drew earned the third week?
D. The fourth week, Drew earned exactly enough money to reach his goal amount. What percent of Drew’s original goal amount did he earn in the fourth week?
A. Using percentages, if Drew earned 50% of $150 in the first week, the total amount earned is $75.
B. If Drew earned 50% of $75 in the second week, the total amount earned is $37.50.
C. If Drew earned 50% of $37.50 in the third week, the total amount earned is $18.75.
D. The percentage Drew earned in the fourth week is 12.5%.
What is the percentage?The percentage refers to a relative size or ratio of one quantity compared to another larger quantity.
The percentage is a fractional value that shows the quotient of a division operation between the numerator and the denominator, which is then multiplied by 100.
A) The total goal for Drew to earn in four weeks = $150
The percentage earned in the first week = 50%
50% of $150 = $75.
B) The remaining part of the goal to be achieved after the first week = $75 ($150 - $75)
The percentage earned in the first week of the remainder = 50%
50% of $75 = $37.50
C) The remaining part of the goal after the second week = $37.50
The percentage of earnings in the third week = 50% of $37.50
= $18.75
D) Total earnings from week 1 to week 3 = $131.25 ($75 + $37.50 + $18.75)
$131.25/$150 x 100 = 87.5%
Remaining percentage = 12.5% (100 - 87.5)
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if f and g intersect midway between x = a and x = b then
The intersection of two functions f and g occurring midway between x = a and x = b can be calculated using the following formula: (f(x) - g(x)) = 0.
Let f and g be two functions with the domain (a,b). For f and g to intersect midway between x = a and x = b, the x-coordinate of the intersection point must be (a+b)/2. Therefore, the equation to solve is f(x) = g(x) = (a+b)/2. To solve this equation, we must first find the value of f((a+b)/2) and g((a+b)/2). Then, equate these values to each other, and solve for the variable. For example, if f(x) = x2+2x+4 and g(x) = x+7, the equation to solve is (a+b)/2 + 7 = (a+b)2/4 + 2(a+b)/2 + 4. Simplifying this equation, we get a2 - 2b2 + 2ab + 7a - 7b + 11 = 0. This equation can then be solved using the quadratic formula to find the value of a and b.
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Complete question:
Given two functions f and g, and an interval between x = a and x = b, where is the point of intersection between f and g?
true or false. degrees of freedom are a feature of statistics when we are analyzing a sample, rather than the population.
The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.
The degrees of freedom (df) refers to the number of independent observations in a sample that can be used to make inferences about a population. The concept of degrees of freedom is used in many statistical methods, including t-tests, ANOVA, and regression analysis.
In simple terms, degrees of freedom can be thought of as the number of data points in a sample that are "free" to vary in order to estimate a population parameter. For example, in a sample of two measurements, only one measurement is "free" to vary since the other measurement is used to calculate the mean. Hence, the degrees of freedom would be 1.
It's important to note that when analyzing a population, there are no degrees of freedom since all of the observations are considered independent and can be used to estimate the population parameters. In contrast, when working with a sample, the degrees of freedom are reduced by the number of constraints that are imposed on the sample in order to make inferences about the population.
In summary, the degrees of freedom are a feature of statistics that reflect the number of independent observations in a sample that can be used to make inferences about the population.
Therefore, The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.
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The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.
The degrees of freedom (df) refers to the number of independent observations in a sample that can be used to make inferences about a population. The concept of degrees of freedom is used in many statistical methods, including t-tests, ANOVA, and regression analysis.
In simple terms, degrees of freedom can be thought of as the number of data points in a sample that are "free" to vary in order to estimate a population parameter. For example, in a sample of two measurements, only one measurement is "free" to vary since the other measurement is used to calculate the mean. Hence, the degrees of freedom would be 1.
It's important to note that when analyzing a population, there are no degrees of freedom since all of the observations are considered independent and can be used to estimate the population parameters. In contrast, when working with a sample, the degrees of freedom are reduced by the number of constraints that are imposed on the sample in order to make inferences about the population.
In summary, the degrees of freedom are a feature of statistics that reflect the number of independent observations in a sample that can be used to make inferences about the population.
Therefore, The answer is True. Degrees of freedom are a feature of statistics that are used when we are analyzing a sample rather than the population.
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a.histogram.
b.bar chart.
c.stem and leaf display.
d.pie chart.
The formula for calculating a histogram is (Number of Data Points in Bin) / (Total Number of Data Points).
A histogram is a graphical representation of data which displays how often certain values occur within a set of data. It is a type of bar graph that displays the number of values within each bin or interval. The bins are usually of equal size, and the height of each bar indicates the frequency of the values within the bin. Histograms are used to display the distribution of data, allowing a quick visual representation of the data.= (Number of Data Points in Bin) / (Total Number of Data Points)
suppose we have a set of data with the following values: 4, 5, 6, 7, 8, 9, 10, 11, 12. To construct a histogram, we would first divide the data into bins of equal size. In this case, we could use bins of size 2, so the bins would be 4-5, 6-7, 8-9, and 10-11. We would then count the number of data points in each bin, resulting in the following: 4-5: 2 data points; 6-7: 2 data points; 8-9: 2 data points; 10-11: 2 data points. To calculate the histogram we would take the number of data points in each bin, and divide it by the total number of data points (8). This would give us the following histogram: 4-5: 2/8; 6-7: 2/8; 8-9: 2/8; 10-11: 2/8.
In summary, a histogram is a graphical representation of data which displays how often certain values occur within a set of data. It is constructed by dividing the data into bins of equal size, and the height of each bar indicates the frequency of the values within the bin. The formula for calculating a histogram is (Number of Data Points in Bin) / (Total Number of Data Points).
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Complete question:
What is a histogram and how is it calculated?
function g can be thought of as a translated (shifted) version of f(x)= x^2
Answer:
Step-by-step explanation:
f(g) = fa(g-x)+ b
x2 at origin (0,0) looks like a U porabola
in the above equation you can shift the graph up and down based on the +b. So if the equation was, for example
F(g) = [tex]x^{2}[/tex] - 3 + 4
you would move the U shape with the origin at (0,0) up 4 and to the right 3.
Convert the following to exponential form 5⋅5⋅5⋅5⋅5⋅5⋅5⋅5
Answer:
[tex]5^{8}[/tex]
Step-by-step explanation:
5 times itself 5 times is 5 to the eighth power
without integrating, show that (a) l ax a p a [sinh ] = , ; p a - > 2 2 (b) l ax p p a [cosh ] = > , .
l ax a p a [sinh ] = , ; p a - > 2 2 and l ax p p a [cosh ] = > , . by integrating and rearranging the equations.
(a) l ax a p a [sinh ] = , ; p a - > 2 2
Formula: a ∫sinh(ax)dx = cosh (ax) + t
Let ax = t
Then, a∫sinh(ax)dx = a∫sinh (t) dt
By integrating,
a∫sinh (t) dt = cosh (t) + c
Substituting ax = t
a∫sinh(ax)dx = cosh (ax) + c
Rearranging for a,
l ax a p a [sinh ] = , ; p a - > 2
(b) l ax p p a [cosh ] = > , .
a ∫cosh(ax)dx = sinh (ax) + c
Let ax = t
Then, a∫cosh(ax)dx = a∫cosh (t) dt
By integrating,
a∫cosh (t) dt = sinh (t) + c
Substituting ax = t
a∫cosh(ax)dx = sinh (ax) + c
Rearranging for a,
l ax p p a [cosh ] = > , .
Thus it is shown that l ax a p a [sinh ] = , ; p a - > 2 2 and l ax p p a [cosh ] = > , . by integrating and rearranging the equations.
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Why do London taxi drivers have larger hippocampuses?
Answer:
London taxi drivers have larger hippocampuses because their job requires them to memorize complicated routes, landmarks, and streets. The hippocampus is the part of the brain responsible for spatial navigation and memory, so the larger hippocampus of London taxi drivers is likely due to the increased use of this area of the brain as a result of their job.
Last year Melissa was paid £2200 per month.Last year Natalie was paid £3200 per month. Melissaʼs salary is increased by 35. Natalieʼs salary is increased by 18. Who is paid more each month this year? You must show your workings.
Natalie is paid more each month this year with £3776.
What is salary ?
Salary is a fixed amount of money paid to an employee by an employer in return for work performed. It is usually paid on a regular basis such as weekly, bi-weekly, or monthly. Salaries are typically based on the employee's job title, level of responsibility and the company's budget and compensation policies.
solution
Melissa's salary this year is £2200 + £2200 * 35/100 = £2970.
Natalie's salary this year is £3200 + £3200 * 18/100 = £3776.
Therefore, Natalie is paid more each month this year with £3776.
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How do exponential functions differ from regular functions? In exponential functions the variable is: a. always negative c. representing the power b. representing the base d. always t Please select the best answer from the choices provided A B C D
In exponential functions, the variable is that which is in the exponent and whose base is always greater than zero and different from one.
What is exponential Function?An exponential function is a mathematical function used to calculate the exponential growth or decay of a given set of data.
We know that a variable in an exponential function is one whose exponent is always larger than zero and whose base is not one.
These limitations are required since 1 increased to any number equals 1. As a result, we would be faced with a regular function rather than an exponential one.
Additionally, because some exponents would result in the function not being defined, the basis of the exponential function cannot be negative or equal to zero.
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I am stuck in a confusion loop, please help!
The probability that the selected ride will be closed because of mechanical is given as follows:
D. 0.675.
How to calculate a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
In this problem, the probabilities are given as percentages, which make the calculations easier.
The percentages associated with a closed ride are given as follows:
90% of 75%. (icy weather).8% of 25% (non-icy weather).Hence the probability is given as follows:
p = 0.9 x 0.75 + 0.08 x 0.25
p = 0.675.
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how long is 90 minutes
90 minutes is about 5400 seconds long or 1.5 hours long.
What is time ?Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future.
The minute is a measure of time that is typically equal to 60 seconds, or 1/60 of an hour. Because to leap seconds, a minute occasionally has 61 seconds in the UTC time zone. The minute is acceptable for use with SI units even though it is not a SI unit. Minutes are represented by the SI unit min.
Depending on the speed of the Earth's rotation, an hour is a measure of time that is traditionally calculated as 1/24 of a day and scientifically estimated to last between 3,599 and 3,601 seconds. There are 24 hours in a day and 60 minutes in an hour.
The second is the International System of Units' unit of time, previously defined as 1/86400 of a day. This element came from the split of a day into 24 hours, 60 minutes, and then 60 seconds each.
So , 90 minutes can be writen as
90 * 60 = 5400 seconds
90 minutes can also be written as
90/60 = 1.5 hrs
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Mark has a certain amount budgeted for dining out each month. Last month, the difference between the amount he budgeted and the amount he actually spent on dining out was less than -20 dollars.
Answer: This means that Mark spent more on dining out last month than what he had budgeted, and the difference was greater than 20 dollars.
Mark had set aside a specific amount of money each month for dining out expenses. However, last month he exceeded that amount and spent more than what he had budgeted. The difference between the amount he planned to spend and what he actually spent was negative and greater than 20 dollars, indicating that he overspent by more than 20 dollars. This implies that the cost of dining out was higher than expected, and Mark spent more money on it than he had originally intended to.
Step-by-step explanation:
Write 5.2288888… repeating as a fraction
PLEASE HELP ASAP SOLVE WITH EXPLANATION 3
The area of the circle is 113.0 ft²
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given that, a circle with diameter 12 feet, we need to find its area,
Diameter = 2 × radius
Radius = 12/2
= 6 ft
Area of a circle = π × (radius)²
Area = 3.14 × 6²
= 3.14 × 36
= 113.04
Hence, the area of the circle is 113.0 ft²
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When the drill reaches a depth of -915 feet or lower, scientists have to add a special liquid to prevent
5
the hole from freezing over. If the research team drills – 50 feet per day, how many days will it take
6
to reach a depth of -915 feet?
V
What is a reasonable estimate for the number of days?
200 days
50 days
20 days
5 days
_915 -1,000 -50% -50
-1,000 = (-50) = ?
Answer: 20
Step-by-step explanation:
You divide -915 by -50 and get 18.3 days but you round up to 20 hope it helps
PLSSS HELP IF YOU TURLY KNOW THISSS
Answer:
16
Step-by-step explanation:
x/8 = 2
Multiply 8 to both sides:
[x = 16]
Answer:
x = 16
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
→ x/8 = 2
Then the value of x will be,
→ x/8 = 2
→ x = 2 × 8
→ x = 16
Hence, the value of x is 16.
Kari earned 4% simple interest on $1,200. 00 she deposited in a savings account last year. She will pay taxes totaling 20% on the interest earned. How much will Kari pay in taxes?
Kari will pay $96 in taxes.
Kari will pay 20% of the $48 interest earned, which is $96.
Kari earned $48 in simple interest on the $1,200 she deposited in a savings account last year. This amount is subject to taxes, which Kari must pay 20% of the interest earned. In this case, Kari will have to pay $96 in taxes on the interest she earned. This means that out of the $48 she earned in interest, she will have to give up $96 to the government in taxes.
Kari must pay $96 in taxes on the $48 in interest she earned on her $1,200 deposit.
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What is an example of a left skewed distribution?
Age at natural death is an example of a real-world variable with a left-skewed distribution (heart disease, cancer, etc.). Most of these deaths occur in older people and a minority in younger people.
What are some examples of right-skewed distributions?Salary is an example of a real-world variable with a right-skewed distribution. If there are a few outliers (CEOs, professional athletes, etc.), most individuals have incomes in the low/mid range, with a wide range of higher numbers (a long "tail"). A long left tail indicates that the distribution is skewed to the left. A negatively skewed distribution is similar to a left skewed distribution. This is because the number line has a long tail in the negative direction. The average is also to the left of the peak. The left side of a left-skewed distribution is longer than the right side. That is, a left-skewed distribution has a long tail on the left.
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The common ratio of AP is 3,given that the 5th is greater than the first term by 400,the 5th term of the gp
The 5th term of the geometric progression is a₅ = 405
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the 5th term of the geometric progression be a₅
Now , the common ratio of the GP is r = 3
And , a₅ = a + 400 be equation (1)
On simplifying the equation , we get
a₅ = ar⁴
Substituting the value of a₅ in the equation , we get
ar⁴ = a + 400
when r = 3
a ( 3 )⁴ = a + 400
81a = a + 400
Subtracting a on both sides of the equation , we get
80a = 400
Divide by 80 on both sides of the equation , we get
a = 5
Now , the 5th term of the GP is a₅ = ar⁴
On simplifying the equation , we get
a₅ = 5 ( 3 )⁴
a₅ = 5 x 81
a₅ = 405
Hence , the 5th term of the GP is 405
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Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) [ 1 0 -2 1]
LU =
When the L matrix must be unit diagonal, the LU-factorization of the matrix is:
[tex]\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
What is matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics. For instance, consider a matrix with two rows and three columns. A matrix (plural: matrices) is a rectangular array of numbers, equations, or symbols. This layout is made up of horizontal rows and vertical columns in the order of number of rows x number of columns. They are used to generate graphs and statistics, as well as to compute and perform scientific investigations and research on a wide range of topics. Matrices are also used to illustrate real-world data like population and infant mortality rates.
Here,
[tex]\left[\begin{array}{ccc}1&0\\-2&1\end{array}\right][/tex]
R2=2*R1+R2
[tex]\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
The LU-factorization of the matrix when L matrix must be unit diagonal is:
[tex]\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
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PLEASE HELP ME! EMERGRENCY!
The simplest form is -1/2log(9/2).
What is integration?
Integration is a strategy for combining or joining the parts to get at the total. It is a form of differentiation in reverse where we break down functions into their component elements.
Here, we have
Given: ∫⁹₂ 4dx/(9-8x)
We have to find the simplest form in the logarithmic term.
= ∫⁹₂ 4dx/(9-8x)
We let t = (9-8x)
Now, we differentiate w.r.t x and we get
dt = -8dx
dx = -dt/8
Now we put the value of dx in the given equation and we get
= ∫⁹₂ 4(-dt/8)/t
= ∫⁹₂ -1/2t dt
= -1/2[logt]⁹₂
= -1/2[log9 - log2]
= -1/2log(9/2)
Hence, the simplest form is -1/2log(9/2).
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For the constant function v(x)=1, which statement describes the additive and multiplicative inverses?
The additive and multiplicative inverse of v{x} are -1 and 1 respectively.
What is a function?An function in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). Example -
y = f{x} = ax + b
Given is a constant function -
v{x} = 1
We can write the additive inverse of v{x} as -
a⁻¹ (v{x}) = - v{x} = - 1
a⁻¹ (v{x}) = - 1 ..... { 1 }
and
We can write the multiplicative inverse of v{x} as -
m⁻¹ (v{x}) = 1/v{x} = 1/1 = 1
m⁻¹ (v{x}) = 1 ...... { 2 }
Therefore, the additive and multiplicative inverse of v{x} are -1 and 1 respectively.
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Two students used synthetic division to divide x^3 - 2x - 8 by x - 2. Determine which solution is correct. Find the error in the solution.
Answer:
-4
Step-by-step explanation:
Explantion down belowwwww \/