The regression equation is y = 15.98x + 43.76. The predicted value for the final grade when a student spends an equation of 8 hours each week on math is 87.8.
The regression equation is found by using a linear regression analysis. First, the data points are plotted on a graph. Then, the best-fit line is determined. The equation of the line is then calculated by finding the slope (m) and y-intercept (b).
The slope (m) is calculated by taking the difference between the two y-values divided by the difference between the two x-values.
m = (y2 - y1) / (x2 - x1)
The y-intercept (b) is calculated by substituting the values of m and one of the data points into the equation of a line, and solving for b.
b = y - mx
Once the values of m and b are determined, the regression equation can be determined:
y = mx + b
For this data set, the regression equation is y = 15.98x + 43.76.
To find the predicted value for the final grade when a student spends an average of 8 hours each week on math, the value of x is substituted into the equation, and the result is rounded to one decimal place.
y = 15.98(8) + 43.76
y = 87.8
Therefore, the predicted value for the final grade when a student spends an average of 8 hours each week on math is 87.8.
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Write an equation of the line below
The line touches -x axis at 3 and touches y axis at 3
P(x,y) = (-3,3)
α+ β = -3
α β = 3
[tex] {x}^{2} - ( \alpha + \beta {)}^{2} + \alpha \beta \\ = {x}^{2} - ( - 3)x + 3 \\ {x}^{2} + 3x + 3 = 0[/tex]match each term on the left column with the appropriate description from the right column description. each answer choice will only be used one time. group of answer choices mean [ choose ] median [ choose ] mode [ choose ] range [ choose ] variance [ choose ] standard deviation
Extreme values are present in a set of data in business. which of the following descriptive summary measures are most appropriate interquartile range and median.
Range is the maximum easy and normally comprehensible measures of dispersion. Range is described because the distinction among the highest (or largest) and lowest (or smallest) determined fee in a series. Therefore, it's miles the maximum affected measures of dispersion via way of means of the acute values of the series.
The median offers the best weight to factors withinside the center of the ordered records. When there are intense numbers withinside the records set (very low or very excessive numbers), the median is a great data preference for a degree of principal tendency.
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camille can buy up to 5 shirts. how much money could she have? enter the correct answers in the boxes in dollars and cents.
Camille can buy maximum of 3 shirts with the amount with him and left with $24 after buying 3 shirts .
Price of each shirt is $32 and the maximum she can buy is 5 shirts
suppose he buys x shirts from the money he initially have
so 32*x<=120
=> x<=3.75
solving the inequality we get:
so x=3 so maximum he can buy is 3 shirts.
Cost of each shirts is $32 so the cost of 3 shirts is given by:
=>3*32
=> $96
so the amount of money left with him = 120 -96
=> 24
so total $24 she can save after buying 3 shirts.
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Complete question:
camille have $120 with him he can buy upto 5 shirts and cost of each shirt is $32 .how much money could she have and how manu shirts he buys? enter the correct answers in the boxes in dollars and cents.
Write one and four hundredths in standard form.
Answer:
The answer is 1.04
Step-by-step explanation
For 1.04, 4 is in the hundredths place, and 0 is in the tenths place.
Use spherical coordinates to show that the triple integral from negative infinity to infinity of the (sqrt of x^2+y^2+z^2 * e^-(x^2+y^2+z^2)) dxdydz = 2pi
The improper triple integral is defines as the limit of a triple integral over a solid sphere as the radius of the sphere goes to infinity. (Hint: write inequalities for a solid sphere of radius p, and then let p -> infinity)
We have used spherical coordinates to show that the triple integral from negative infinity to infinity of the [tex]\int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \sqrt{x^2+y^2+z^2} e^{-\left(x^2+y^2+z^2\right)} d x d y d z=2 \pi$$[/tex]
What is meant by triple integral?Triple integrals, as their name suggests, are three sequential integrations that can be used to determine a volume or to integrate in a fourth dimension over three other independent dimensions.
The total amount of heat in the three-dimensional room can be calculated using this triple integral.
We understand that triple integrals have several uses if "dimension" can refer to something other than a spatial dimension. We could determine a 3-D object's overall inertia or the gravitational attraction on a basketball.
The sum of an infinite number of rectangular prisms across a bounded region in three-space is a double integral, which represents the volume beneath the surface above the xy-plane.
[tex]$$To show that $\int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \sqrt{x^2+y^2+z^2} e^{-\left(x^2+y^2+z^2\right)} d x d y d z=2 \pi$, begin by converting the integral into spherical coordinates. Recall that $\rho^2=x^2+y^2+z^2$ and $d V=\rho^2 \sin \phi d \rho d \phi d \theta$. To convert the bounds, notice that as $x, y$, and $z$ expand infinitely in both directions, this can be modeled to a sphere of an infinite radius.\\$$[/tex]
[tex]$$This means that the new bounds become $0 \leq \rho \leq \infty, 0 \leq \phi \leq \pi$, and $0 \leq \theta \leq 2 \pi$. Because the integral is infinite, let the upper limit of $\rho$ be $R$ and take the limit as $R$ goes to infinity. To evaluate with respect to $\rho$, first use $u$ substitution by letting $u=\rho^2$ and then integrating by parts$$[/tex]
[tex]$\int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \sqrt{x^2+y^2+z^2} e^{-\left(x^2+y^2+z^2\right)} d x d y d z$[/tex]
[tex]& =\lim _{R \rightarrow \infty} \int_0^{2 \pi} \int_0 \int_0^R \sqrt{\rho^2} e^{-\left(\rho^2\right)} \rho^2 \sin \phi d \rho d \phi d \theta \\& =\lim _{R \rightarrow \infty} \int_0^{2 \pi} \int_0^\pi \int_0^R e^{-\rho^2} \rho^3 \sin \phi d \rho d \phi d \theta \\[/tex]
[tex]& =\lim _{R \rightarrow \infty} \int_0^{2 \pi} \int_0^2 \sin \phi\left[\frac{1}{2}\left(-e^{-\rho^2}\left(1+\rho^2\right)\right)\right]_{\rho=0}^{\rho-R} d \phi d \theta \\& =\frac{1}{2} \lim _{R \rightarrow \infty} \int_0^{2 \pi \pi} \int_0^\pi \sin \phi\left[-e^{-R^2}\left(1+R^2\right)+e^{-0^2}\left(1+0^2\right)\right] d \phi d \theta\end{aligned}$$[/tex]
[tex]$$\\\text{Use L' Hospital's Rule to simplify the limit}$$\begin{aligned}& \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \sqrt{x^2+y^2+z^2} e^{-\left(x^2+y^2+z^2\right)} d x d y d z \\& =2 \pi(1)-2 \pi \lim _{R \rightarrow \infty}\left(\frac{2 R}{2 R e^{R^2}}\right) \\& =2 \pi-\lim _{R \rightarrow \infty} \frac{1}{e^{R^2}} \\& =2 \pi-0 \quad \text { As } \lim _{x \rightarrow \infty} \frac{1}{e^x}=0 . \\& =2 \pi\end{aligned}$$[/tex]
[tex]$$Therefore,$$\int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} \sqrt{x^2+y^2+z^2} e^{-\left(x^2+y^2+z^2\right)} d x d y d z=2 \pi$$[/tex]
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Complex numbers are used to describe current, I, voltage, E, and impedance, Z. These three quantities are related by the equation EIZ. Given two of these quantities, solve the equation EIZ for the missing variable. I=5+2i, Z=9+6i
The value of the voltage (E) is given as 33 + 48i
What is an equation?An equation is an expression showing the relationship between numbers and variables.
Given the equation:
E = IZ
Where E is the voltage, I is the current and Z is the impedance.
But I = 5 + 2i, Z = 9 + 6i, substituting the values gives:
E = IZ
E = (5 + 2i)(9 + 6i)
E = 45 + 30i + 18i - 12
E = 33 + 48i
The value of E is 33 + 48i
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Determine the range of the following graph:
Step-by-step explanation:
The vertical extent of the graph is all range values 3 and -2, so the range is (−2,3]
50 POINTS + BRAINLIEST
Answer:
I believe the answer may be 31.5cm.
Step-by-step explanation:
I first found the area of the total region which was 70cm. From there I found the area of the triangle to the left of the region by doing 6x7 which is 42, and multiplied by 1/2 because it is a triangle. I did the same to the triangle on the right, doing 5x7 which is 35, and multiplied by 1/2 since this is also a triangle. Finally, I subtracted both totals of 21, and 17.5 from the 70, getting a grand total of 31.5cm.
Answer:
31.5 cm²
Step-by-step explanation:
To find the area of the crossed region, subtract the areas of the two triangles from the area of the rectangle.
Formulae:
Area of a rectangle = length × widthArea of a triangle = ¹/₂ × base × heightArea of the rectangle
⇒ A = (4 + 6) × 7
⇒ A = 10 × 7
⇒ A = 70 cm²
Area of triangle 1
⇒ A = ¹/₂ × 6 × 7
⇒ A = 3 × 7
⇒ A = 21 cm²
Area of triangle 2
⇒ A = ¹/₂ × 5 × 7
⇒ A = 2.5 × 7
⇒ A = 17.5 cm²
Area of the crossed region
⇒ A = 70 - 21 - 17.5
⇒ A = 49 - 17.5
⇒ A = 31.5 cm²
PLEASE HELP!
Q: Match the key aspect of a function's graph with its meaning.
x-intercept
f(x) < 0
y-intercept
f(x) > 0
Matching the Meaning of Key Featu
Intro
↑
↑
intervals of the domain where the
graph is below the x-axis
location on graph where output is
zero
intervals of the domain where the
graph is above the x-axis
location on graph where input is zero
Done
Question
Answered step-by-step
"Match the key aspect of a function's graph with its meaning. f(x) > 0 intervals of the domain where the graph is above the x-axis f(x) < 0 location on graph where input is zero x-intercept location on graph where output is zero y-intercept intervals of the domain where the graph is below the x-axis Common Core Algebra 'httpsinIscorekam edgenuftycomPlayer Common Core Algebra /- MAJIO9 / AcR 7haijliy Giapiij Instruction Active of a Graph the Meaning of Key Features Matching of a function $ graph with its meaning Match the key aspect intervals of Ihe domain where the graph. IS above the x-axis flx) > E Iocation on graph where input IS zero fix) < 0 Iocation on graph where output IS x-Intercepi zero Intervals Of the domain where the y-intercept graph Is below the x-axis Untto Done PrevousAaml Type here i0 search"
if Q(x)=8x^2+10 find Q(1/4)
The value of Q (1/4) as required to be determined in the task content is; 10 ½.
What is the value of the function instance Q (1/4)?It follows from the task content that the value of the function instance Q (1/4) is to be determined based on the given function definition; Q(x)=8x^2+10.
Hence, since the given function is; Q (x) = 8x² + 10.
The function instance Q (1/4) can be evaluated as follows;
Q (1/4) = 8 ( 1/4 )² + 10
= 8 • 1/16 + 10
= 1/2 + 10
= 10 ½.
Ultimately, the value of the function instance Q (1/4) is; 10 ½.
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finance the median player salary for the new york yankees was $1.6 million in 2001 and $5.2 million in 2009. write a linear equation giving the median salary y in terms of the year x. then use the equation to predict the median salary in 2017.
The median salary in 2048 will be 2.853 million
What is meant by equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. A condition on a variable (or variables) that ensures that two expressions in the variable (or variables) have the same value is known as an equation. An equation remains the same if the LHS and the RHS are switched; this value of the variable is referred to as the solution or root of the equation.A general linear equation is given by:
y=a × x + b
Where the slope is a and the y-intercept is b.
We shall discover that the linear equation for this scenario is
y = 0.033 × x + 1.269
And we may anticipate that in 2048, the median salary will be 2.853 million.
The slope can be expressed as if the line passes through the points (x1, y1) and (x2, y2).:
[tex]$a=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, we know that whereas the median player pay in 2007 (x = 7) was y = 1.5 million, it was y = 1.7 million in 2013 (x = 13).
The following two points can be written as follows:
(7,1.5)
(13,1.7)
Note that the y-value is in millions.
Then the slope of the linear equation will be:
[tex]$a=\frac{1.7-1.5}{13-7}=0.033[/tex]
So the linear equation is something like:
y=0.033 × x + b
Remember the point (7,1.5), which indicates that for x=7, we also get y=1.5, so we can substitute these in the equation above:
1.5=0.033 × 7+b
1.5-0.033 × 7 = b = 1.269
Then the linear equation is:
y=0.033 × x+1.269
b) Now we want to predict the median salary in 2048 . For 2048 the
x-value is x=48
So we just need to evaluate this in the linear equation:
y = 0.033 × 48 + 1.269 = 2.853
Then the median salary in 2048 will be 2.853 million
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A professor wants to randomly select 4 students to go to the board. She decides to randomly select the fifthstudent who enters the classroom and every sixth student after that. Determine the students who will be going to the board.Write down the student numbers.
The randomly number of the students who got selected are 4,5,6,7,.......
Professor randomly select the fourth and every student after that
Now by using the next term formula which is
=>a + d(n-1)
The next student is the 2nd student.
=>4 + 1*(2-1)
=>4 + (1)
=>4 + 1
=> 5
The 3rd student will be
=>4 + 1(3-1)
=>4 + 1(2)
=>4 + 2
=> 6
The 4th student will be
=>4 + 1(4-1)
=>4 + 1(3)
=> 4+ 3
=> 7
students numbers are 4,5,6,7......
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Solve the following linear equation.
4x+8=4(x+4)−8
The equation 4x+8=4(x+4)−8 can be simplified by distributing the 4 on the right side of the equation:
4x+8=4x+16-8
Subtracting 4x from both sides:
8=16-8+8
Which simplifies to:
8=8
This is a true statement, so x could be any real number. The solution to the equation is x is any real number or x∈R.
50.25.2 rewritten correctly using the commutative property and then simplified correctly?
Answer:
2.25.50
Step-by-step explanation:
it is simplified since 25 is not divisible by 2
question if s and t are integers greater than 1 and each is a factor of the integer n, which of the following must be a factor of nst ?
If s and t are integers greater than 1 and each is a factor of the integer n, then the product nst must be divisible by both s and t. This is because s and t are factors of n, which means that n is divisible by s and t.
The product of two integers is divisible by the factors of each of those integers. Therefore, since n is divisible by s and t, and nst is the product of n, s, and t, nst must also be divisible by s and t. This can be proven by the definition of divisibility: if a number, in this case n, is divisible by an integer, in this case s or t, then the product of that number and another integer, in this case t or s, is also divisible by the initial integer.
For example, if n = 24, s = 4, and t = 3, we can see that 4 and 3 are factors of 24, since 24 is divisible by 4 and 3. The product of 24, 4 and 3 is 2443 = 288. 288 is also divisible by 4 and 3.
In summary, if s and t are integers greater than 1 and each is a factor of the integer n, then s and t must be factors of nst.
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The principal of a large high school is concerned about the number of absences for students at his school. to investigate, he prints a list showing the number of absences during the last month for each of the 2500 students at the school. for this population of students, the distribution of absences last month is skewed to the right with a mean of 1.1 and a standard deviation of (1.4). suppose that a random sample of 50 students is selected from the list printed by the principal and the sample mean number of absences is calculated.
a.) What is the shape of the sampling distribution of the sample mean? Explain
b.) What are the mean and standard deviation of the sampling distribution of the sampling mean?
c.) What is the probability that the mean number of absences in a random sample of 50 students is less than 1?
d.) Because the population distribution is skewed, the principal is considering using the median number of absences last month instead of the mean number of absences to summarize the distribution. Describe how the principal could use a simulation to estimate the standard deviation of the sampling distribution of the sample median for random samples of size 50.
The shape of the sampling distribution of the sample mean is approximately normal because the sample size is greater than 3.
Why do we use sampling distribution?The probability distribution of a statistic acquired from a bigger sample size taken from a certain population is known as the sampling distribution. The frequency distribution of a variety of possible outcomes for a population statistic makes up the sampling distribution of a specific population.The probability distribution of a statistic that is produced by taking numerous samples from a certain population is known as the sampling distribution. To make the process of statistical inference simpler, researchers utilize sample distributions.When you repeat your survey or poll for all potential samples of the population, you get the sampling distribution of a proportion. For instance, you may conduct many polls rather than asking 1000 cat owners which cat food they prefer.Given data :
a ) Approximately normal because the sample size is greater than 3.
b ) b ) ux = 1.1 and Jx = [tex]\frac{1.4}{\sqrt{40} }[/tex]= 0.198
c ) c ) P ( ux ∠ 1 ) = normal cdf ( lower : 1000, upper : 1, u : 1.1 , J : 0.198 ) = 0.3068
d ) The principal could pick 50 students may times and find the median and repeat several times until he has every possible sampling distribution.
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DUE SOON PLEASE HELP SUPER CONFUSED
Answer: mean would be d or 998.67 wouldn't it
Step-by-step explanation:
because mean 998.67 median 1100 and mode 1500
i think that is right but i am not 100% sure
please someone help me with this escape room question! i’ve been stuck on this problem for so long now
Answer:
Q1 - 7910
Q2 - 9710
Q3 - 1097
Q4 - 7190
I don't know what these mean, but here you go..?
Write an equation of the line containing the given point and parallel to the given line.
(7.-5); 4x - 5y = 2
The equation of the line containing point (7, -5) and having slope 4/5 is found as y = 4/5x - 3/5.
Explain the term slope intercept form?A line's equation of the type y = mx + b can be written in slope intercept form. The m stands for the line's slope, and the b for the y-intercept. When you need to find a point on the a line or solve for y given x, you utilise the slope intercept form.The given data:
Passing points (x1, y1) = (7, -5)Parallel line's equation: 4x - 5y = 2Comparing eq with standard form:
5y = 4x - 2
y = 4/5 x - 2/5
slope m = 4/5
As both lines are parallel, the slope of both lines will be equal.
Thus, using slope intercept form
y - y1 = m(x - x1)
y + 5 = 4/5 (x - 7)
y + 5 = 4/5x - 28/5
y = 4/5x - 3/5
Thus, the equation of the line containing point (7, -5) and having slope 4/5 is found as y = 4/5x - 3/5.
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what is the average class score ? round your answer to the nearest whole number
Suppose that a firm produces 275,000 units a year and sells them all for $8 each. The explicit costs of production are $1,800,000 and the implicit costs of production are $400,000. The firm earns an accounting profit of
The firm's accounting profit earnings as required to be determined in the task content is; $0.
What is the firm's accounting profit earnings?As evident in the task content, the firm produces 275,000 units a year and sells them all for $8 each.
Therefore, the total revenue generated from sales is; 275,000 × $8 = $2,200,000.
Hence, since the total cost is the sum of $1,800,000 and $400,000 which is; $400,000 + $1,800,000 = $2,200,000.
Ultimately, the total accounting profit earned is; Revenue generated - Expenses = $2,200,000 - $2,200,000 = $0.
Therefore, the total accounting profit earned is; $0.
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Why is f not a function from R to R if
a) f (x) = 1/x?
The function:
f(x) = 1/x
Does not has 0 on its domain, then the domain is not R, that is why the function is not from R to R.
What is a function from R to R?A function from R to R is a function where the domain is the set of all real numbers and the range is also the set of all real numbers.
Here the given function is rational, and it is:
f(x) = 1/x
Remember that we can't divide by zero, so the input x = 0 can't be on the domain of function f(x).
Thus, the domain is not the set of all real numbers.
That is why the function f is not from R to R, because the domain is not R.
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the first pentagon is dilated to form the second pentagon. drag and drop the answer to correctly complete the statement. put responses in the correct input to answer the question. select a response, navigate to the desired input and insert the response. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can also be moved by dragging with a mouse. the scale factor is response area. a pentagon with a side length of 5. an arrow points to a smaller pentagon with a side length of 1
The scale factor of the dilated pentagon is the ratio of the side length of the original pentagon to the side length of the dilated pentagon.
In this case, the side length of the original pentagon is 5 and the side length of the dilated pentagon is 1. Therefore, the scale factor is 5:1 or 5/1. To calculate the scale factor, divide the side length of the original pentagon by the side length of the dilated pentagon. In this case, the calculation would be 5 / 1 = 5. The scale factor of the dilated pentagon is 5.
We can also use the formula for finding the scale factor of two figures: Scale Factor = Length of figure 1 / Length of figure 2. In this case, the length of figure 1 is 5 and the length of figure 2 is 1. So, the scale factor is 5.
Therefore, the scale factor of the first pentagon to the second pentagon is 5.
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the terminal point determined by tge real number , t is given. find sin t cos t tan t (root5/5, 2 root 5/5)
sint= [tex]y=\frac{\sqrt{5} }{5}[/tex], cost= [tex]x=\frac{2\sqrt{5} }{5}[/tex], tant=2.
If the terminal point P(X, Y) is determined as a real number, t lies on the unit circle then:
sint=y cost=x tant=y/x
we are given a terminal point of P [tex](\frac{\sqrt{5} }{5} ,\frac{2\sqrt{5} }{5} )[/tex] but not given that t lies on the unit circle. we must then first verify that P lies on the unit circle:
The equation of the unit circle is:
x²+y²=1
After substituting the given points in the above equation:
[tex](\frac{\sqrt{5} }{5} )^{2} +(\frac{2\sqrt{5} }{5} )^2=1[/tex]
Now evaluate the powers we get:
[tex]\frac{5}{25} +\frac{20}{25} =1[/tex]
Adding the equation we get:
1=1
Since P [tex](\frac{\sqrt{5} }{5} ,\frac{2\sqrt{5} }{5} )[/tex] lies on the unit circle, then:
[tex]sint=y=\frac{\sqrt{5} }{5}\\\\cost=x=\frac{2\sqrt{5} }{5} \\\\tant=\frac{y}{x}=\frac{\frac{2\sqrt{5} }{5} }{\frac{\sqrt{5} }{5} }[/tex]
By solving the tant we get:
tant=2.
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How do you determine the value(s) of k such that the system of linear equations has the indicated number of solutions: no solutions for x + 2y + kz = 6 and 3x + 6y + 8z = 4?
4/3 is the value of k that makes the system of linear equations has no solutions .To determine the value(s) of k such that the system of linear equations has no solutions, we need to use the concept of consistency and consistency of a system of linear equations, which is the property that a system of equations has exactly one solution or no solution.
A system of linear equations is consistent if it has exactly one solution and inconsistent if it has no solution. We can use the concept of determinant of a matrix to check the consistency of the system of linear equations. The determinant of a matrix is a scalar value that can be calculated from the elements of a matrix and it tells us whether a matrix is invertible or not. An invertible matrix corresponds to a consistent system of linear equations and a non-invertible matrix corresponds to an inconsistent system of linear equations. To check the consistency of the system of linear equations, we can use Cramer's Rule, which states that the determinant of the coefficient matrix must be non-zero for the system to have a unique solution.
The coefficient matrix of the given system of equations is:
| 1 2 k |
| 3 6 8 |
The determinant of the coefficient matrix is:
|1 2 k|
|3 6 8| = (18) - (26) + (k*3) = 8 - 12 + 3k
If the determinant of the coefficient matrix is non-zero, the system of equations will have a unique solution, if the determinant of the coefficient matrix is zero, the system of equations will have no solution.
So for the system of linear equations to have no solution, the determinant of the coefficient matrix must be zero.
8 - 12 + 3k = 0
3k = 4
k = 4/3
So the value of k that makes the system of linear equations has no solutions is 4/3.
It is worth noting that if there are infinite solutions, the determinant of the matrix is zero but the rank of the matrix (the number of linearly independent rows or columns) is smaller than the number of variables
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Eric fell asleep at 3:15 pm he woke up after 2 hours and 35 minutes what time did eric wake up
Kent completed his homework in 52.752 minutes. What is this number rounded to the nearest tenth? Explain how you decided.
Answer:52.8
Step-by-step explanation:
52.752
in 752 is more than 5 so it gets rounded to 8so it = 52.8
when u, v are nonzero vectors, then span{u, v} contains the line through u and the origin, as well as the line through v and the origin.
The span of the two vectors is the set of all linear combinations of the two vectors. This means that any point on the line through u and the origin, as well as any point on the line through v and the origin, can be written as a linear combination of u and v.
1. Start by taking two non-zero vectors u and v.
2. The span of the two vectors is the set of all linear combinations of the two vectors, which means that any point on the line through u and the origin, as well as any point on the line through v and the origin, can be written as a linear combination of u and v.
3. Therefore, span{u, v} contains the line through u and the origin, as well as the line through v and the origin.
The span of two non-zero vectors u and v contains the line through u and the origin, as well as the line through v and the origin. Any point on these two lines can be written as a linear combination of u and v.
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which description best describes the three-dimensional object that is formed when the shape is rotated about the axis as shown? responses a rectangular prism that is open on the ends a rectangular prism that is open on the ends a square pyramid a square pyramid a flat disk with a hole in the center a flat disk with a hole in the center a hollow cylinder a hollow cylinder a vertical line labeled as axis is drawn. a vertical rectangle is drawn on the left side of the line that does not touch the line. an arrow rotated around the line in a clockwise direction is drawn.
The three-dimensional object formed when the shape is rotated about the axis is a hollow cylinder.
This object is generated by taking a vertical rectangle and rotating it around the vertical axis. Mathematically, this can be described as a revolution of the rectangle about the y-axis in which the points of the rectangle are shifted a certain distance away from the axis. The three-dimensional object formed when the shape is rotated about the axis is a hollow cylinder.The formula used to calculate the volume of a hollow cylinder is V = π(r^2)h, where r is the radius of the cylinder, and h is the height. For example, if we have a cylinder with radius 4 and height 8, the volume would be V = π(4^2)8 = 128π cubic units.
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Read and solve... 1-Tony walked 7/10 of a Kilometer fr Express the distance as adecimal. 2. Volet spent 0.5 hour reading a Pocket She spent reading as 9. fraction. th
Tony walked 7/10 km which in decimal will be 0.7 km
Volet spent 0.5 hrs reading a pocket which in Fraction will be 5/10 = 1/2
What is fraction ?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
The three main sorts of fractions are as follows. Proper fractions, improper fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions. We categorize its kinds based on these two parameters.
Tony walked 7/10 km which in decimal will be 0.7 km
Volet spent 0.5 hrs reading a pocket which in Fraction will be 5/10 = 1/2
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