Answers are in bold
4x-62x/5x - 74/e6(9+x)x(13-6)10x+12(20/x) + 7(x - 16)/2==========================================================
Explanations:
"Four times a number" gives us "4x". We then subtract off 6.The expression 2x represents "2 times a number", aka "the product of 2 and a number". We then divide that expression over 5 to get the quotient.Take any number x, and subtract off 7. For instance, if x = 10, then x-7 = 10-7 = 3, which shows that 3 is 7 less than 10.The term "quotient" means "result of division". So we divide 4 over 'e'The expression 9+x is the sum of 9 and some unknown number. The 6 out front means we multiply 6 with (9+x).The term "difference" means we'll be subtracting the terms."ten times a number" translates to 10x, in which we increase that by 12 to get 10x+12The portion 20/x is the quotient of 20 over x. This is similar to problem 4. Then we increase the (20/x) by 7 to get (20/x) + 7The x-16 part is the difference of x and 16. That result is then divided in half.true or false: if this model suffers from heteroskedasticity, then the usual ols t statistics no longer have a t distribution and the f statistics no longer have an f distribution.
The statement ' if this model suffers from heteroskedasticity, then the usual OLS t statistics no longer have a t distribution and the f statistics no longer have an f distribution' is true because a model suffering from heteroskedasticity will not be accurate.
If a model suffers from heteroskedasticity, which is the condition where the variance of the errors is not constant across observations, then the usual OLS t statistics and F statistics no longer have t or F distributions, respectively. In other words, the standard errors of the coefficients and the overall fit of the model cannot be accurately estimated using the usual assumptions of OLS regression.
Specifically, when heteroskedasticity exists, the OLS estimator remains unbiased, consistent, and asymptotically normal, but its estimated standard errors are biased and inconsistent, leading to invalid inference. This means that t-tests for individual coefficients and F-tests for overall model significance based on these standard errors may be unreliable.
Instead, alternative methods such as robust standard errors or weighted least squares should be used to correct for heteroskedasticity.
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Pls help LOTS OF POINTS I am really confused and this is pretty easy so plaplslplsplspsl help
Answer: #4 is b
Step-by-step explanation:
rue or false: if the eigenvalues of a are 2, 2, 5, then a is a) invertible; b) diagonalizable; c) not diagonalizable.
The eigenvalues of a are 2, 2, 5, then a is invertible matrix .
The eigenvalues are 2, 2, 5.
(A) First check the matrix is certainly invertible.
The matrix is invertible when the product of eigenvalues does not equal to zero.
invertible of A = 2*2*5
invertible of A = 20 ≠ zero.
So the matrix is certainly invertible.
(B) Now we check the matrix is certainly diagonalizable.
We note that the eigen value 2 has an algebraic multiplicity of 2 (number of repetitions), but we are unsure if the accompanying eigen vectors likewise have a count of two (geometric multiplicity)
The sum of the algebraic multiplicities must equal the sum of the geometric multiplicities in order for A to be diagonalizable.
In this instance, there is no evidence to support the geometric multiplicity of the eigenvalue 2. Therefore, we are unable to affirm that A is diagonalizable
So A can not be diagonalizable.
(C) Now we check the matrix is certainly not diagonalizable.
If the homogeneous equation from (A-⋋I)x=0 when the eigen value ⋋=2 is substituted x+y+z=0, then the solution set is x=-k-m where y=k, z=m are the parameters.
So it can be written as
\(\left[\begin{array}{ccc}x\\y\\z\end{array}\right] = k\left[\begin{array}{ccc}-1\\1\\0\end{array}\right] + m \left[\begin{array}{ccc}-1\\0\\1\end{array}\right]\)
Putting k=1 and m=1, then the corresponding eigen vectors for ⋋=2 are
\(\left[\begin{array}{ccc}-1\\1\\0\end{array}\right] , \left[\begin{array}{ccc}-1\\0\\1\end{array}\right]\)
So the geometric multiplicity of the eigen value ⋋=2 is 2.
The algebraic multiplicity = Geometric multiplicity we can see the given matrix A is diagonalizable.
So the statement is false.
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What is the following sum?
Answer:
\(D. 7x^{2}(\sqrt[3]{x^{2}y} )\)
Step-by-step explanation:
is this edge?
If it is, my friend had the same question i think. I didn't tho
What fractional part of the battery is still operating after 50 hours of use?
Fractional part of battery: B
t: hours
\(B=5^{-0.02t}\)After 50 hours of use:
Substitute the t in the equation by 50 and evaluate:
\(\begin{gathered} B=5^{-0.02(50)} \\ \\ B=5^{-1} \\ \\ B=\frac{1}{5^1} \\ \\ B=\frac{1}{5} \end{gathered}\)Then, 1/5 of the battery is still operating after 50 hours of useHello I need help on question #7… for geometry please. This is a practice sheet.
• The figure is a triangular prism
,• The surface area is 88.54 sq mm
Explanation:The given figure is a triangular prism.
The surface area is given as follows:
\(\begin{gathered} A=2\times\frac{1}{2}\times9.7\times7.2+3\times3\times9.7 \\ \\ =88.54mm^2 \end{gathered}\)Order from least to greatest
45
11, 45, 520, 54
Answer: 11, 45, 45, 54, 520
Answer:
11,45,54,520
Step-by-step explanation:
What is the value of n ?
Answer:
Your answer would be the letter a
Answer:
Step-by-step explanation:
180 -133 = 47
180-142=38
38+47= 85
180 - 85 = 95
180 - 95= 85
The answer is A
Kelsey is going to hire her friend, Wyatt, to help her at her booth. She will pay him $12 per hour and have him start at 9:00 AM. Kelsey thinks she’ll need Wyatt’s help until 4:00 PM, but might need to send him home up to 2 hours early, or keep him up to 2 hours later than that, depending on how busy they are.
Part A
Write an absolute value equation to model the minimum and maximum amounts that Kelsey could pay Wyatt. Justify your answer.
Part B
What are the minimum and maximum amounts that Kelsey could pay Wyatt? Show the steps of your solution.
1. The Lewis dot structure does not involves a.ionic compounds b.polyatomic ions c.covalent compounds d. polar covalent e.compounds. 2. Write the number of bonds a carbon atom must have in a dot structure with more than two atoms. 3.Acidic hydrogen(s) in an oxoacid is/are connected to _________________ atom(s).(Write the name of the atom.)
1. The Lewis dot structure is a representation of the valence electrons in an atom or molecule using dots. It helps us understand how atoms bond together to form compounds. The Lewis dot structure can be used for a variety of compounds, including ionic compounds, covalent compounds, and polar covalent compounds. Therefore, options a, b, c, d, and e are all valid inclusions for the Lewis dot structure.
2. In a dot structure with more than two atoms, a carbon atom can form multiple bonds. The number of bonds a carbon atom must have depends on the number of valence electrons it needs to complete its octet. Carbon has four valence electrons, so it can form up to four covalent bonds with other atoms to complete its octet.
3. In an oxoacid, acidic hydrogen atoms are connected to oxygen atoms. Oxoacids are acids that contain oxygen, hydrogen, and another element. The acidic hydrogen atoms are bonded to the oxygen atoms and can dissociate to release hydrogen ions (H+) in water.
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*URGENT* Sam has 2 part time jobs. At the grocery store, he earns $8/h and at the library, he earns $10/h. Before going on vacation, he would like to save $280. Determine the fewest number of hours he would need to work to reach his goal.
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The fewest number of hours he would need to work to reach his goal of $280 is 28 hours working in the library.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Amount to earn = $280
Grocery store:
Earnings per hour = $8
1 hour = $8
Multiply 280/8 on both sides.
280/8 x 1 hour = $280
35 hours = $280
Library:
Earnings per hour = $10
1 hour = $10
Multiply 280/10 on both sides.
28 hours = $280
We see that,
Working in the Library would make $280 in fewer hours than working in the grocery store.
Thus,
The fewest number of hours he would need to work to reach his goal of $280 is 28 hours working in the library.
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What is 15 percent of 1135? Also Explain how you came up with your solution and the actions you took.
Answer:
170.25
Step-by-step explanation:
15% x 1135
15/100 x 1135
170.25
Hello :D
10% of 1135 = 1135/10 = 113.5
5% of 1135 = 113.5/2 = 56.75
15% of 1135 = 113.5 + 56.75 = 170.25
Answer = 170.25
Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y. (If an answer doesn't exist enter DNE.) f(x, y) = xe−x(1 + y) x ≥ 0 and y ≥ 0 0 otherwise Determine E(XY).
The value of E(XY) is equivalent or equal to -1 according to the joint pdf having function f(x, y) = xe^−x(1 + y) x ≥ 0 and y ≥ 0 0.
Given that:
f(x,y) = xe^-x(1+y), where x ≥ 0 and y ≥ 0 0.
E(XY) = ∫∞ ∫∞ xy. xe^−x(1 + y) dx dy
0 0
E(XY) = ∫∞ ∫∞ x^2y . e^−x(1 + y) dx dy
0 0
E(XY) = ∫∞ x^2 . e^−x (∫∞ y e^-xy dy) dx
0 0
E(XY) = ∫∞ x^2 . e^−x (-1/x) dx
0
E(XY) = - ∫∞ x . e^−x dx
0
E(XY) = - 1
Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y are equal to i.e. E(XY) = -1.
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Chloe has xx dimes and yy nickels. She has at least 15 coins worth a maximum of $1 combined. Solve this system of inequalities graphically and determine one possible solution.
The system of inequalities that describes this scenario is presented as follows:
x + y ≥ 15.0.1x + 0.05y ≤ 1.x ≥ 0.y ≥ 0.One possible solution is given as follows:
(2,15).
Meaning that she has 2 dimes and 15 nickels.
How to describe the system of inequalities?The variables for the system of inequalities are given as follows:
Variable x: amount of dimes that Chloe has.Variable y: amount of nickels that Chloe has.The amounts cannot be negative, hence:
x ≥ 0.y ≥ 0.She has at least 15 coins, hence the first constraint is given as follows:
x + y ≥ 15.
A dime is worth $0.1, while a nickel is worth $0.05. The coins are worth a maximum of $1, hence:
0.1x + 0.05y ≤ 1.
The solution set of the inequality is composed by the shaded region on the graph given at the end of the answer.
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tallest living man at one time had the height of 237 cm is shortest living man at that time had the height of 139.5 cm height of men at that time had a mean of 177.71 cm and a standard deviation of 6.03 cm which of these two men had the height that was more extreme
Based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.
The question asks which of the two men, the tallest living man or the shortest living man at that time, had a height that was more extreme.
To determine this, we need to compare their heights to the mean and standard deviation of men's heights at that time.
The mean height of men at that time was 177.71 cm, and the standard deviation was 6.03 cm.
The tallest living man had a height of 237 cm, which is 59.29 cm above the mean (237 - 177.71 = 59.29).
The shortest living man had a height of 139.5 cm, which is 38.21 cm below the mean (177.71 - 139.5 = 38.21).
To determine which height is more extreme, we can compare the distance from each height to the mean.
The distance from the tallest man's height to the mean is 59.29 cm, while the distance from the shortest man's height to the mean is 38.21 cm.
Since the distance from the tallest man's height to the mean is greater than the distance from the shortest man's height to the mean, we can conclude that the tallest living man had the height that was more extreme.
In summary, based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.
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The numbers in this sequence increase by 12 each time
24
36
48
60
The sequence is continued with the same rule.
Which number in the sequence will be closest to 100?
ABCD is a kite, so AC DB and DE= EB. Calculate the length of AC, to the
nearest tenth of a centimeter.
8 cm
6 cm
10 cm
The the value of the length AC =10.7 cm.
ABCD is a kite, AC⊥DB and DE=EB
From the given triangle AED, length of BD is 10 cm , so lengh of DE will be 5 cm.
The three sides of a right triangle are connected by the geometry theorem known as the Pythagorean theorem. According to this rule, the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.
Now, using the pythagoras theorem and solving further for the ΔAED, we get,
AD^2=AE^2+DE^2
6^2=AE^2+5^2
36=AE^2+25
AE=3.3
Similarily, using the pythagoras theorem and solving further for the ΔCED
CD^2=CE^2+DE^2
9^2=CE^2+5^2
CE^2=81-25
CE=7.4cm
As from the figure,AC=AE+EC , so we can write as follows,
AC=3.3+7.4
AC=10.7cm
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Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)
Suppose an automobile maker producing a certain kind of car suddenly experiences an increase in the demand for the car. According to our definition of short-run and long-run, in the short run:
In the short run, an automobile maker experiencing an increase in the demand for a certain kind of car will be limited in its ability to adjust its production capacity.
In economics, the short run refers to a period of time during which some factors of production are fixed, while others can be adjusted. In the context of the automobile maker facing increased demand for a specific car, the short run implies that certain aspects of production capacity cannot be changed immediately.
In the short run, the automobile maker may not have the flexibility to expand its production facilities or build new manufacturing plants. This means that the company is constrained by its existing resources and production capacity. Instead, the company can make temporary adjustments to production levels by utilizing existing resources more efficiently, such as adding additional shifts or optimizing the utilization of labor and machinery.
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Find parametric equations of the curve of intersection of the following two surfaces:
(a) cylinder x2+y2=1 and the plane y+z=2
(b) parabolic cylinder x2=2y and the surface 3z=xy
The curve of intersection between the cylinder x^2 + y^2 = 1 and the plane y + z = 2 is a circle lying on the plane y + z = 2. The parametric equations for this curve are x = cos(θ), y = sin(θ), and z = 2 - sin(θ), where θ is the parameter representing points on the circle.
To find the parametric equations for the curve of intersection between the cylinder and the plane, we can start by parameterizing the cylinder using the angle θ. Since the equation x^2 + y^2 = 1 represents a circle in the x-y plane with radius 1, we can use θ as a parameter to represent points on this circle.
The parametric equations for the cylinder are:
x = cos(θ)
y = sin(θ)
z = 2 - y
Next, we substitute these equations into the plane equation y + z = 2 to determine the intersection points. By substituting y and z, we have sin(θ) + 2 - sin(θ) = 2, which simplifies to sin(θ) - sin(θ) = 0. This implies that the plane equation is satisfied for any value of θ.
Therefore, the intersection between the cylinder and the plane is the entire cylinder itself, lying on the plane y + z = 2. The parametric equations for the curve of intersection are x = cos(θ), y = sin(θ), and z = 2 - sin(θ).
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will mark brainlist!!!!
Which of the following equations is true
please solve quickly
Answer:
x=12
Step-by-step explanation:
AB/FE=BC/EC
x/6= 5+5/5
x/6=10/5
x=6(2)
x=12
~
The price of petrol is increased from 12,58 per litre to 13,28 pee litre. Determine the percentage increase in the price of petrol
The percentage increase in the price of petrol when increased from 12,58 per litre to 13,28 per litre is 5.56%
How to determine the percentage increase in the price of petrolThe change in the price of the petrol is given as
Increased from 12,58 per litre to 13,28 per litre.
This means that the change in the price is
Change = 13.28 - 12.58
Evaluate the difference
Change = 0.7
The percentage increase in the price of petrol is then calculated as
Percentage = 0.7/12.58 * 100%
Evaluate the prodcuts
Percentage = 5.56%
Hence, the change is 5.56%
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Determine the interest paid on an investment of $2700 for 3years at a rate of 7.5% per annum compound interest
Step-by-step explanation:
hope you have understood.
Bindu's Drama class is performing a play. She wants to buy as many tickets as she can afford. If tickets cost
$3,25 each and she has $14.75 to spend, how many tickets can she buy?
Answer:
4 tickets
Step-by-step explanation:
3.25 x 4 = 13
She can afford 4 tickets and have 1.75 $ left over.
hopefully this helps you :)
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Determine whether each quadrilateral is a parallelogram. Justify your answer.
All parallelograms are quadrilaterals, so if it is a parallelogram, it is also a quadrilateral. The correct answer is that all trapezoids are quadrilaterals.
how many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of the same (matching) suit are chosen
Answer:
Step-by-step explanation:
17
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Three options for the given area of a rectangular room is 750 square feet and the relation between width and length is equal to :
b. y² -5y =750
c. 750 – y(y – 5) = 0
e. (y + 25)(y – 30) = 0
As given in the question,
Given area of a rectangular room = 750 square feet
Let y be the length of the rectangular room ,
Then width of the rectangular room = y -5
Area of rectangular room = length × width
⇒ 750 = y (y -5)
Option which are same as the required equation are :
a. y(y + 5) = 750
Here y +5 is used .Not a valid option
b. y² -5y =750
⇒y(y-5) =750
Valid option.
c. 750 – y(y – 5) = 0
⇒y(y-5) =750
Valid option.
d. y(y – 5) + 750 = 0
⇒ y(y-5) =-750
Not valid option
e. (y + 25)(y – 30) = 0
⇒y² -30y +25y-750 =0
⇒y² -5y =750
⇒ y(y-5) =750
Valid option.
Therefore, three options for the given area of a rectangular room is 750 square feet and the relation between width and length is equal to :
b. y² -5y =750
c. 750 – y(y – 5) = 0
e. (y + 25)(y – 30) = 0
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Is the point (20 13) on this line? Explain your reasoning.
In order to determine if the point (20,13) is on the line, it is necessary to write the equation of the line.
The general form of a linear equation is:
y = mx + b
where b is the y-intercept and m is the slope. Y-intercept is the value of y when x = 0. You can observe in the graph that b = 3.
The slope m is conputed by using the following formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)where (x1,y1) and (x2,y2) are two points of the line. Use the points (0,3) and (6,6), you can select any other two points. Replace these values into the formula for m:
\(m=\frac{6-3}{6-0}=\frac{3}{6}=\frac{1}{2}\)Then, the equation of the line is:
\(y=\frac{1}{2}x+3\)Now, replace the value of x = 20 in the previous equation, if y = 13, then the point (20,13) in on the line:
\(\begin{gathered} y=\frac{1}{2}(20)+3 \\ y=10+3 \\ y=13 \end{gathered}\)Hence, the point (20,13) is on the line