The situation represent a non-linear function
What is a function?A function can be described as an expression, law or rule that explains the relationship between two variables.
These variables are;
The dependent variableThe independent variableThe different types of functions are;
The linear functionsThe non-linear functionsPower functionsQuadratic functions, ectWhat is a non-linear function?A nonlinear function is defined as a function having a graph that is not a straight line.
This means that the equation of the graph does not that the mathematical form, ax +b
From the information given, we have that;
Area = 2s²
Hence, it is a non-linear function.
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If it takes 6 yards of material to make 3 pairs of window drapes (curtains),how many yards are required to make 8 pairs of drapes
[tex](2x3)²- 7[/tex]
Answer:
4x⁶ - 7
Step-by-step explanation:
[tex] \sf{( {2x}^{3} )}^{2} - 7[/tex]
[tex] \sf( {2}^{2} \times {x}^{3 \times 2} ) - 7[/tex]
[tex] \sf {4x}^{6} - 7[/tex]
It takes 1 work day to repair 300m of road. At this rate how many days will it take to repair 30km of road?
Answer:
100 days
Step-by-step explanation:
We know
1km = 1000m
30km = 30000m
It takes 1 work day to repair 300m of the road.
30000 divided by 300 = 100 days
So, it takes 100 days to repair 30km of road.
una cuadrilla de 20 obreros pueden hacer una obra en 12 días. ¿cuántos días serán necesarios para otra cuadrilla de 20 obreros, de doble eficiencia que los anteriores, para hacer la misma obra?
Por lo tanto, la segunda cuadrilla de 20 obreros de doble eficiencia completará la misma obra en 0,3 días, lo que equivale a 6 horas.
La fórmula para calcular el tiempo de trabajo necesario para una cuadrilla de obreros es:
Tiempo = Cantidad de trabajo / (Rendimiento de la cuadrilla)
Por lo tanto, el tiempo necesario para la segunda cuadrilla de 20 obreros de doble eficiencia sería:
Tiempo = Cantidad de trabajo / (2 x Rendimiento de la primera cuadrilla)
Tiempo = 12 días / (2 x 20 obreros)
Tiempo = 12 días / 40 obreros
Tiempo = 0,3 días
Por lo tanto, la segunda cuadrilla de 20 obreros de doble eficiencia completará la misma obra en 0,3 días, lo que equivale a 6 horas.
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D4 Use the following information about the function f(x) to answer the questions below: - The domain of f(x) is all real numbers - f ′ (x) exists everywhere, and f ′ (x)=0 for x=1 and =9 −f ′ (100)=7,f ′ (π)=−π, and f ′ ( 1000−1 )=100000 - f '′ (5)=0 and f ′′ (x) is only undefined at x=−3. −f ′′ (99)=4,f ′′ (4)=1; and f ′′ (−10)=−9(a) Determine the intervals over which f(x) is increasing and decreasing. Be sure to explain your reasoning.
(b) Use part (a) to determine which critical points correspond to local maxima and local minima. Explain your reasoning.
(c) Determine the intervals over which f(x) is concave up and concave down. Explain your reasoning.
(d) Use part (c) to classify any inflection points of f(x). Explain your reasoning.
As per the given domain the behavior of f'(x) near that point to determine if the function is increasing or decreasing.
The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value). In this case, the domain of f(x) is all real numbers.
(a) To determine the intervals over which f(x) is increasing or decreasing, we need to consider the sign of f'(x) and the behavior of f'(x) near that point to determine if the function is increasing or decreasing.
(b) From the information given, we know that
=> f'(x)=0 at x=1
and that f'(x) is only undefined at x=−3 within the domain of the function. Hence, x=1 is a critical point.
(c) To determine the intervals over which f(x) is concave up or concave down, we need to consider the sign of f''(x).
If f''(x) is positive over an interval, then the function is concave up over that interval.
If f''(x) is negative over an interval, then the function is concave down over that interval.
(d) An inflection point is a point in the domain of the function at which the concavity of the function changes.
If the sign of f''(x) changes from positive to negative or from negative to positive, then the point is an inflection point.
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Write the equation of the ellipse with center (3,1), vertex (7,1) and focus (3+2sqrt3,1)
Check the picture below, so the ellipse looks more or less like so, with a major axis of 4, namely a = 4, and a "c" distance of 2√3, so
[tex]\textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=3\\ k=1\\ a=4 \end{cases}\implies \cfrac{(x- 3)^2}{ 4^2}+\cfrac{(y- 1)^2}{ b^2}=1[/tex]
[tex]\stackrel{\textit{we know that}}{2\sqrt{3}=\sqrt{4^2 - b^2}}\implies \sqrt{12}=\sqrt{4^2 - b^2}\implies 12=16-b^2\implies 12+b^2=16 \\\\\\ b^2=4\hspace{5em}\cfrac{(x- 3)^2}{ 4^2}+\cfrac{(y- 1)^2}{ 4}=1\implies \boxed{\cfrac{(x- 3)^2}{ 16}+\cfrac{(y- 1)^2}{ 4}=1}[/tex]
The equation of the ellipse with center (3,1), vertex (7,1), and focus (3+2√3,1) is (x - 3)² / 16 + (y - 1)² / 4 = 1.
To write the equation of the ellipse with the given center (3,1), vertex (7,1), and focus (3+2√3,1), to determine some key properties of the ellipse.
Center (h, k) = (3, 1)
The center of the ellipse is (h, k) = (3, 1).
Major axis length = 2 × distance between center and vertex
The distance between the center and vertex is given by |3 - 7| = 4 units.
So, the major axis length is 2 × 4 = 8 units.
Distance between center and focus = c = |3 + 2√3 - 3| = 2√3 units
Now, we have all the information needed to write the equation of the ellipse in standard form:
(x - h)² / a² + (y - k)² / b² = 1
where (h, k) is the center of the ellipse, and a and b are the semi-major and semi-minor axes lengths, respectively.
Since the center is (3, 1), (h, k) = (3, 1). We already know that the major axis length is 8 units, so a = 4.
To find b, we use the relationship between a, b, and c in an ellipse:
c² = a² - b²
(2√3)² = 4² - b²
4 × 3 = 16 - b²
12 = 16 - b²
b² = 16 - 12
b² = 4
b = 2
Now we have the values of a and b, so the equation of the ellipse is:
(x - 3)² / 4²+ (y - 1)² / 2² = 1
Simplifying further:
(x - 3)² / 16 + (y - 1)² / 4 = 1
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a. For what value of c is the quantity Sum(x_1- c)^2 minimized? [Take the derivative with respect to c, set equal to 0, and solve.]
b.Using the result of part (a), which or the two quantities Sum(x, - x)^2 and Sum(x_i - mu)^2 will be smaller than the other (assuming that x yu,)?
Minimizing the Sum of Squared Deviations
In statistics, the objective of many analyses is to identify the values of parameters that minimize the sum of squared deviations between observed and expected values. A common example of this is finding the mean (average) of a set of values. In this context, the deviations are calculated as the difference between each observed value and the mean.
In the problem stated above, we have a sum of squared deviations given by the expression (x_1 - c)^2. The goal is to find the value of c that minimizes this expression. To do this, we will take the derivative of the expression with respect to c, set it equal to 0, and solve for c.
Taking the derivative with respect to c:
The derivative of (x_1 - c)^2 with respect to c is 2 * (x_1 - c) * (-1) = 2 * (c - x_1). Setting this equal to 0 and solving for c:
2 * (c - x_1) = 0
c = x_1
So, the value of c that minimizes the expression (x_1 - c)^2 is equal to x_1.
Comparing Sum(x_i - mu)^2 and Sum(x_i - x_1)^2:
Now, let's consider the two quantities Sum(x_i - mu)^2 and Sum(x_i - x_1)^2. Assuming that mu is the population mean and x_1 is a sample mean, we can say that Sum(x_i - mu)^2 will always be equal to or larger than Sum(x_i - x_1)^2. This is because the sample mean is an unbiased estimator of the population mean and has a smaller variance than the population mean. In other words, the sample mean will be closer to the observed values, on average, than the population mean, leading to smaller deviations and a smaller sum of squared deviations.
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Thank you so much for the answers
The graphs for g(x) = 2x + 7 is produced from graphs equation f(x) = 2x by such a vertically adjustment pushed upwards towards 7 units.
What purposes do graphs serve?Graphs and tables are useful visual aids because they make information accessible and easy to understand. Therefore, it is not unexpected that both print and digital media frequently employ graphs.
An graphs with g(x) = 2x + 7 is produced by vertically translating the graphs of f(x) = 2x upwards through 7 units. A graph's vertical translation simply shifts it up or down the y-axis without altering its form. To create that graphs of g(x) = 2x + 7, the graphs from f(x) = 2x is in this case pushed upward 7 units. To visualize this, imagine starting with the graph of f(x) = 2x, and then moving all the points on the graph upward 7 units along the y-axis. The resulting graph is the graph of g(x) = 2x + 7.
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simplify −5(7+x)+2 5/6x
Answer:
First we distribute the -5:
-5(7+x) = -5(7) - 5(x) = -35 - 5x
Then we combine like terms:
-35 - 5x + 2 5/6x = -35 + 2/6x - 5x = -35 + 1/3x - 5x
So:
-5(7+x)+2 5/6x = -35 + 1/3x - 5x
which of the following expressions is correct l-37l = 37 -l37l = 37 l-37l =-37 -l37l =37
Answer:
l-37l = 37
Step-by-step explanation:
The absolute value of a negative number is the positive of the number
4. An internet code consists of one digit (0 thru 9) followed by one letter (A thru Z). How many codes
are possible? (page 3, problem 11)
* since we are only using one number and one letter we don't need to worry about repetition
A) 36
Digit
B) 234
Letter
C) 260
D) 2
Answer:
B) 234 Letters
Step-by-step explanation:
Each number will be matched with 1 letter, and there is 26 letters in the alphabet, so each number can be used 26 different times. 26 * 9 is 234
What type of function is this Linear or Exponential?
The function y = 3x + 7 is a linear function and the second function that is represented in table is an exponential function.
What is a linear and exponential function?The way the y-values change when the x-values increase by a constant amount differs between linear and exponential relationships: The y-values in a linear relationship differ by the same amount. The y-values in an exponential relationship have equal ratios.Linear functions have a straight line as their graph. There is one independent variable and one dependent variable in a linear function. x and y are independent and dependent variables. An exponential function is a mathematical function with the formula f (x) = aˣ, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e is the most commonly used exponential function base.Here the function y = 3x + 7 is a linear function and the second function is an exponential function because powers of 2.
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let d be an arbitrary set, and let p and q be arbitrary predicates on d. define p = ∀x (p(x)) → ∀x (q(x)) q = ∀x ( p(x) → q(x) ). check all statements that must be true.
Group of answer choices
A) p → q
B) None of the other choices.
C) q → p
A) p → q is true because it states that if all elements in d satisfy the predicate p, then all elements in d also satisfy the predicate q.
p states that for all elements in d, if they satisfy the predicate p, then they must also satisfy the predicate q. q states that for all elements in d, if they satisfy the predicate p, then they must also satisfy the predicate q. Therefore, p → q is true, because it states that if all elements in d satisfy the predicate p, then all elements in d must also satisfy the predicate q. However, q → p is not necessarily true, because it states that if all elements in d satisfy the predicate q, then they must also satisfy the predicate p. This is not necessarily true, because some elements in d may satisfy the predicate q, but not satisfy the predicate p.
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Explain why both of the following forms of the SVD are equivalent: A=ULVT AV = US
Both of the following forms of the SVD are equivalent because both are related spectroscopic data.
Singular value decomposition (SVD)
Singular value decomposition (SVD) is a technique commonly used in the analysis of spectroscopic data that both acts as a noise filter and reduces the dimensionality of subsequent least-squares fits.
The singular value decomposition (SVD) of a matrix A is the process of factorizing A into the product of three matrices A = U DV^{T} where the columns of U and V are orthonormal and the matrix D is diagonal with positive real entries. Data matrix A is useful to find a low rank matrix which is a good approximation to the data matrix.
spectroscopic data
spectrographs collect data that tell scientists how much light comes out at each wavelength. These data reveal important details about the makeup of atmospheres on exoplanets, the compositions of stars and nebulas, the motion of galaxies and more.
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Plot a scatter plot showing the relationship between father and offspring telomere length.a. Do the data require any transformation before analysis? How can you tell?
b. Fit a linear regression that predicts the offspring telomere length from its father's. Is there evidence that the father's telomere length predicts his offspring's value?
The linear regression that predicts the offspring is The regression equation is y = 0.2134x + 0.513 and the box plot of the data is illustrated below.
The term called box plot is defined as a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
Here we have know that a scatter plot showing the relationship between father and offspring telomere length.
Then the box plot of the data is plotted as follows.
=> 0.281, 0.301, 0.282, 0.425, 0.463, 0.514, 0.506, 0.535, 0.556, 0.59, 0.49, 0.435, 0.482, 0.504, 0.524, 0.487, 0.554, 0.588, 0.631, 0.664, 0.698, 0.513
Then the linear regression is written as
=> y = 0.2134x + 0.513
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hi, can anyone help me, thanks.
Answer:
187/2
Step-by-step explanation:
using sequence, create numeric vector called grid containing n 1 equispaced points between 1 and 2 (inclusive) where n = 106.
grid <- seq(from = 1, to = 2, by = (2-1)/(106-1)). # Creates a numeric vector of 106 equispaced points between 1 and 2.
grid <- seq(from = 1, to = 2, by = (2-1)/(106-1)) #This will create a numeric vector called grid containing 106 equispaced points between 1 and 2 (inclusive). #The command takes three arguments. 'from' indicates the starting point for the sequence, in this case 1; 'to' indicates the ending point for the sequence, in this case 2; 'by' indicates the increment size between each number, which is calculated as (2-1)/(106-1). This is because there are a total of 106 numbers, so to get the distance between each number, we divide the total range (2-1) by the total number of points (106-1). This provides a numeric vector of 106 equispaced points between 1 and 2.
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what is the finest grain in statistics
The finest-grain property simply means that all possible distinguishable outcomes are identified separately in probability statistics.
The requirement that outcomes be mutually exclusive says that if one outcome occurs, then no other outcome also occurs.
An outcome is often called a finest grain result of the model in the sense that an outcome ω contains no subsets other than the empty set ϕ and the singleton subset {ω}. A sample space is a set of all the possible outcomes or sample points, denoted as Ω. An outcome ω is often called a finest grain result when even {ω} contains no proper subsets. The outcomes in the sample space are mutually exclusive and collectively constitute the entire sample space.
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The complete question is :
what is the finest grain property in statistics?
Answer to [tex]9/10+3/1000[/tex]
(9 over 10 plus 3 over 1000)
What’s the ordered pair if you question is 3y=2(2)-9?Do I divide it after to get the value of only one y. I’m confused.
Points at 50
Answer:
The ordered pair for the equation 3y=2(2)-9 is (x, -5/3).
Step-by-step explanation:
To find the ordered pair, you will first need to solve the equation for y. To do this, you can start by simplifying the right side of the equation:
3y = 2(2) - 9
3y = 4 - 9
3y = -5
Next, you will divide both sides of the equation by 3 to solve for y:
y = -5/3
So the value of y is -5/3.
The ordered pair is a set of coordinates on a coordinate plane, representing a point on the plane. It is usually represented by (x, y) where x is the value of x-coordinate and y is the value of y-coordinate. In this case, since you only have one variable, you don't have the value of x, so it would be (x, -5/3)
Please note that the above solution is based on the given equation, if you have any other information such as the context of the question or any other variables in the equation, it would be helpful to include that information in your question so I can help you better.
let f(x)=x which of the following describes the graph of 11.7(x) in relation
The graph of the function g(x) = (11.7)ˣ is plotted and attached with the answer.
What is a function? What is a quadratic function?A function describes a relationship between a dependent and independent variable. Example -
y = f(x) = 5x + 9
Given is the function f(x) = x.
It is given that -
f(x) = x
It is a linear function. It represents a straight line with slope 1.
The graph of the function -
g(x) = (11.7)ˣ
is plotted and attached with the answer.
Therefore, the graph of the function g(x) = (11.7)ˣ is plotted and attached with the answer.
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Ricky i making a quilt that meaure 7 feet wide. He want the area of the quilt to be greater than 56 quare feet. Write an inequality that can be ued to find the poible length, x, Ricky could make hi quilt
The inequality that can be used to find the possible length, x, Ricky could make his quilt is x > 8.
An inequality is a mathematical statement indicating the relative size or order of two values, where one value is not equal to the other. It uses symbols such as > (greater than), < (less than), ≥ (greater than or equal to), ≤ (less than or equal to), or ≠ (not equal to) to compare the values. The solution of an inequality is the set of values that make the inequality true.
Let x = length of the quilt
The quilt is a rectangle, hence the area of the quilt is equal to the product of the length and the width.
A = l x w
If the quilt is 7 feet wide and the area should be greater than 56 square feet, then we can write that as the inequality below.
A > 56 square feet
l x w > 56
x(7) > 56
x > 8
Therefore the inequality that shows the possible lengths of the quilt is x > 8.
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Jose just purchased a house for $625,000. His annual homeowner's insurance premium is $0.52 per $100 of value. If his annual premium is divided into equal monthly payments, what will Jose have to pay on a monthly basis to keep his home insured?
Jose has to pay $270.83 on a monthly basis to keep his home insured.
What are percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Given that the annual homeowner’s insurance premium is $0.52 per $100 of value.
The annual home owner insurance premium is 0.52% of the house value and can be evaluated as follows;
0.52% of $625,000 = $3,250.
Therefore, his annual premium is set at $3,250.
However, we are required to determine what will Guillermo have to pay on a monthly basis.
Therefore, we have; $3,250 spread equally over 12 months.
Therefore, we have; $3,250/12 = $270.83
Hence, Jose has to pay $270.83 on a monthly basis to keep his home insured.
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Janet wants to order a pizza for delivery to her home. Fast Delivery charges $15 per large pizza plus $2 for delivery. Order for Home charges $12 per large pizza plus $8 for delivery.
For how many pizzas is the cost the same?
Which equation represents the problem, where p is the number of large pizzas?
A. 15p+2 = 12p + 8
B. 15p+8 = 12p + 2
C. 15+2p= 12 + 8p
D. 15+ 8p = 12 + 2p
Answer:
A. 15p+2 = 12p + 8 represents the problem, where p is the number of large pizzas.
To find the number of pizzas for which the cost is the same, you need to set the two expressions equal to each other and solve for p.
15p + 2 = 12p + 8
3p = 6
p = 2
So, the cost is the same when two large pizzas are ordered
The equation that represents the problem is D. 15+ 8p = 12 + 2p.
You can solve the equation to find out at which point the cost is the same by isolating the variable (p) on one side of the equation.
You can do that by subtracting 12 from both sides, and then subtracting 8p from both sides.
It will give you : 3 = 2p which means p = 1.5.
So, for 1.5 large pizzas the cost of ordering from Fast Delivery and Order for Home will be the same.
A conumer might repond to a negative incentive by
purchaing more of the product. Buying the good at a cheap price. Receiving a dicount. Decreaing ue of the product to ave money
A consumer might respond to a negative incentive by: Decreasing the use of the product to have money.
What is incentive?Positive incentives: monetary benefits for making particular decisions or carrying out particular behaviours. Purchasing particular goods from the shop, dining at particular establishments, or picking particular businesses are a few examples. Negative incentives are financial penalties imposed for choosing particular options or doing certain behaviours. Financial and non-financial incentives are the two different categories of incentives. Financial incentives are payments or awards provided in return for hitting certain targets or goals. Non-monetary incentives include recognition, prizes, and other non-cash benefits.
correct option is: Decreasing the use of the product to have money.
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using five bits to represent each number, write the representations of 7 and ‒7 in 1’s complement, signed magnitude, and 2’s complement integers.
The range of decimal values that can be represented is -16 to +15 by using five bits and 2’s complement integers.
5 bit 2's complement representation will be of the form b1b2b3b4b5 where each bit is either 0 or 1.
The largest positive number that can be represented using this scheme is 01111
Translating this to decimal this is [tex]2^{3} +2^{2} +2^{1} +2^{0}[/tex]
= 8 + 4 + 2 + 1
= 15
The smallest negative number that can be represented using this scheme is 10000
Translating this to decimal = -1 * 2^4
= -1 * 2*2*2*2
= -1 * 16
= -16
Therefore,
The range of decimal values that can be represented is -16 to +15 by using five bits and 2’s complement integers.
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Determine the value of y if x -4 y=x^(2)-8
The numerical value of y in the equation y = x² - 8 when x = -4 is 8.
What is the numerical value of y when x = -4?Given the equation in the question;
y = x² - 8
x = -4y = ?To determine the numerical value of y, replace all the occurrence of x with -4 in the equation and simplify.
y = x² - 8
Plug in x = -4
y = ( -4 )² - 8
First take the square of -4
y = 16 - 8
Subtract 8 from 16
y = 8.
Therefore, the value of y is 8.
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if this interconnection line runs diagonally from one corner to the other corner of a 10mm x 10mm silicon integrated die, what is the resistance of the line of 1μm thick and 5μm wide?
Assuming the length line is made of copper, the resistance would be 0.667.
The following formula can be used to determine the resistance of the diagonal line that passes through the corners of the 10mm by 10mm silicon integrated die: Resistance is equal to resistivity times length (cross-sectional area). The cross-sectional area of the line, which is 1 m thick and 5 m wide, may be calculated as 5 x 1 m = 5 m2. The Pythagorean Theorem, which asserts that the hypotenuse of a right triangle is equal to the square root of the sum of the squares of the other two sides, can be used to determine the length of the line. The line itself serves as the hypotenuse in this instance, while the other two sides measure 10 mm apiece. As a result, the square is equal to the length of the line.
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Find the cofactors of A, place them in the matrix C, then use ACT to find the determinant of A, where: [1 1 47 A= 1 2 2 1 2 5]
The cofactor of A is C = [-3 0; 0 -46], and the determinant of A is -3.
The cofactor of each element in a 2x2 matrix is found by switching the signs of the elements in the determinant when the sum is taken (i.e. changing the sign of one element in the determinant if it is in an odd-numbered row or column).
For a 2x2 matrix A = [a b; c d], the determinant is given by det(A) = ad - bc.
For the given matrix A = [1 1 47; 1 2 2; 2 5 1], the cofactor matrix C is found by finding the determinant of each 2x2 sub-matrix obtained by excluding one row and one column of A.
C = [(-1)(2-5) (1)(2-2); (1)(1-1) (-1)(1-47)].
C = [-3 0; 0 -46].
To find the determinant of A using the cofactor matrix C, we take the sum of the products of the elements in each row of A and the corresponding elements in each column of C.
det(A) = 1*-3 + 10 + 470 + 10 + 20 + 2*-46 = -3.
So the determinant of A is -3.
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A wedding planner rented 13 tables and 104 chairs for an upcoming wedding. what is the chair to table ratio?
The chair-to-table ratio is 104:13 = 8.
What is ratio?The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
A wedding planner rented 13 tables and 104 chairs for an upcoming wedding.
The chair-to-table ratio,
= 104/13
= 8
Therefore, the ratio is 104:13 = 8.
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