12 2/3% can be expressed as the common fraction 19/150.
To convert a percent to a common fraction, we divide the percent value by 100. In this case, 12 2/3% can be written as 12 2/3 ÷ 100.
First, we convert the mixed number to an improper fraction. 12 2/3 can be written as (3 * 12 + 2)/3 = 38/3.
Next, we divide 38/3 by 100. To divide a fraction by 100, we multiply the numerator by 1 and the denominator by 100. This gives us (38/3) * (1/100) = 38/300.
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2. Dividing both by 2 gives us 19/150.
Therefore, 12 2/3% can be expressed as the common fraction 19/150.
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By inspection, determine if each of the sets is linearly dependent.
(a) S = {(1, 3), (3, 2), (-2, 6)}
O linearly independent
O linearly dependent
(b) S = {(1, -5, 4), (4, -20, 16)}
O linearly independent
O linearly dependent
(c) S = {(0, 0), (1, 0)}
O linearly independent
O linearly dependent
(a) S = {(1, 3), (3, 2), (-2, 6)} O linearly independent set, (b) S = {(1, -5, 4), (4, -20, 16)} O linearly dependent and (c) S = {(0, 0), (1, 0)} O linearly dependent.
(a) S = {(1, 3), (3, 2), (-2, 6)}
O linearly independent set
S is linearly independent because no vector in S can be expressed as a linear combination of the others, without considering the coefficients all equal to zero.
(b) S = {(1, -5, 4), (4, -20, 16)}
O linearly dependent
We can see that 4 × (1, −5, 4) = (4, −20, 16).
Thus, S is linearly dependent because there are non-zero scalars a,b that satisfies a(1, −5, 4) + b(4, −20, 16) = 0.
(c) S = {(0, 0), (1, 0)}
O linearly dependent
vector (0, 0) is a linear combination of (1, 0) because 0(1, 0) = (0, 0).
Thus, S is linearly dependent because there are non-zero scalars a,b that satisfies a(0, 0) + b(1, 0) = 0.
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Help please I’m trying to go to sleep
Answer: y > -4 (red)
Step-by-step explanation:
State a decomposition theorem for finite generated modules over the PID a Z(p) = {{ = : a : a,b € Z and płb}.
Decomposition theorem for finite generated modules over the PID $\mathbb{Z}(p) = \{a = (a, b) \in \mathbb{Z} \times \mathbb{Z} | p | ab\}.$
The decomposition theorem states that any finite generated module over a principal ideal domain can be written as a direct sum of finitely many cyclic submodules. Additionally, these cyclic submodules are uniquely determined up to isomorphism, which means that the module has a unique decomposition up to isomorphism. In the case of $\mathbb{Z}(p)$, we can write it as a direct sum of cyclic submodules generated by elements of the form $p^k$ for $k \in \mathbb{Z}$. This decomposition is unique up to isomorphism. The primary decomposition theorem enables us to represent a vector space as a direct sum of invariant subspaces by using the smallest polynomial of a matrix. It is essential to comprehending and interpreting the data the minimal polynomial provides.
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Find the eigenvalues and eigenvectors for the state equation -2 11 x + 4 Show all working. * = 1 [d]u
The eigenvalue of the state equation is -2 and the corresponding eigenvector is [0].
To obtain the eigenvalues and eigenvectors of the given state equation, we need to solve the characteristic equation.
The state equation is represented as follows:
[d/dt]x = -2x + 11u
y = 4x
To obtain the eigenvalues λ, we set up the characteristic equation:
|A - λI| = 0
Where A is the coefficient matrix, λ is the eigenvalue, and I is the identity matrix.
The coefficient matrix A is:
A = -2
The identity matrix I is:
I = 1
Substituting these values into the characteristic equation, we have:
|-2 - λ| = 0
Simplifying the equation, we get:
-2 - λ = 0
Solving for λ, we find:
λ = -2
So, the eigenvalue of the state equation is -2.
To obtain the eigenvector, we substitute the eigenvalue back into the equation (A - λI)x = 0.
For λ = -2, we have:
(-2 - (-2))x = 0
-2x = 0
Solving for x, we find:
x = 0
Therefore, the eigenvector corresponding to the eigenvalue -2 is [0].
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Using a ruler and a pair of compasses, construct a right-angled triangle with a base of 5 cm and a hypotenuse of 11 cm. You must show all of your construction lines. Measure the angle opposite the base to the nearest degree.
A right-angled Triangle with a base of 5 cm and a hypotenuse of 11 cm. Measure the angle opposite the base using a protractor to obtain the nearest degree measurement.
To construct a right-angled triangle with a base of 5 cm and a hypotenuse of 11 cm, follow these steps:
1. Start by drawing a straight line using a ruler. This will serve as the base of the triangle. Label the endpoints as A and B.
2. Use a compass to draw a circle with a radius of 11 cm, centered at point A. This circle will intersect the base at point C and define the hypotenuse of the triangle.
3. With the compass still set to the radius of 11 cm, draw another circle centered at point C. This circle will intersect the first circle at point D.
4. Connect points B and D with a straight line segment. This line will be perpendicular to the base AB and will form the height of the triangle.
5. Measure the length of the line segment BD using a ruler. If it measures 5 cm, then you have successfully constructed a right-angled triangle with the given dimensions.
6. To find the angle opposite the base, use a protractor to measure the angle at point B. Place the center of the protractor at point B and align the base line AB with the zero-degree mark. Read the angle measurement at the intersection of the protractor and the line segment BD. Round the measurement to the nearest degree.
The angle opposite the base can vary depending on the accuracy of the construction. Measure the angle using the protractor and record the nearest degree measurement.
When performing geometric constructions and providing measurements, it is important to ensure academic integrity and avoid plagiarism. Plagiarism involves using someone else's work or ideas without proper attribution. To maintain originality, it is necessary to express the information in your own words and provide accurate measurements based on the construction process.
In conclusion, by following the steps construct a right-angled triangle with a base of 5 cm and a hypotenuse of 11 cm. Measure the angle opposite the base using a protractor to obtain the nearest degree measurement.
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DELL 5+5
what's a girl Raymond
Someone help me please need ASAP
Answer:
x = 1/2
Step-by-step explanation:
all of its sides are equal;
4x - 6 = 2x - 5
2x = 1 , x = 1/2
Find the area of this parallelogram.
A)
20 cm2
B)
24 cm²
40 cm²
Answer:
It's 40cm²
Step-by-step explanation:
Base times height.
Rating the contingency table to the right to (a) calculate the nal frequencies, and (b) find the expected frequency for call in the contingency table. Assume that the variables ndependent Size of restaurant Seats 100 or fewer Seats over 100 Excent 182 185 200 316 + alculate the marginal frequencies and samples stre of restaurant Seats 100 or fewer Seats over 100 Total Excellent 182 186 368 Rating Fair 200 316 516 Poor 161 155 356 Total 513 557 1200 And the expected frequency for each of in the contingency table Rating Excellent Poor e of restaurant Beats 100 or fewer Beats over 100 Round to two decimal places as needed Ip me solve this View an example Get more help Clear all Check on & MacBook Air.
(a) To calculate the final frequencies in the contingency table, we need to sum up the frequencies for each combination of variables. The final frequencies are as follows:
Size of restaurant: Seats 100 or fewer
- Excellent: 182
- Fair: 200
- Poor: 161
Size of restaurant: Seats over 100
- Excellent: 186
- Fair: 316
- Poor: 155
(b) To find the expected frequency for each cell in the contingency table, we can use the formula:
Expected Frequency = (row total * column total) / grand total
The expected frequencies for each cell in the contingency table are as follows:
Size of restaurant: Seats 100 or fewer
- Excellent: (513 * 368) / 1200 ≈ 157.60
- Fair: (513 * 516) / 1200 ≈ 220.95
- Poor: (513 * 356) / 1200 ≈ 151.77
Size of restaurant: Seats over 100
- Excellent: (557 * 368) / 1200 ≈ 171.53
- Fair: (557 * 516) / 1200 ≈ 237.85
- Poor: (557 * 356) / 1200 ≈ 164.62
(a) The final frequencies in the contingency table are obtained by summing up the frequencies for each combination of the variables "Size of restaurant" and "Rating." This gives us the observed frequencies for each category.
(b) The expected frequency for each cell is calculated using the formula mentioned above. It considers the row total, column total, and grand total of the contingency table.
The expected frequencies represent the frequencies we would expect to see in each cell if the variables were independent of each other. These values are used to assess the association between the two variables.
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My restaurant budget should not go over $100. If I bought main dish for $50 and $12 for each pizza, how many pizza's can I buy?
inequality :
50 + 12x ≤ 100
How many pizza's can I buy?
Answer:
x = 25
Step-by-step explanation:
50 + 12x <_ 100
12x <_ 100 - 50
12x <_ 50
x <_ 50 / 12
x <_ 25
You can buy about 4 pizzas.
I didn't use the way that I probably should have but you can subtract 50 from 100 and then divide the 50 by 12 and you will get 4.1666667.
Consider the subtraction problem, 2013 - 40, for which Allie gets the answer 1073. What is most likely Allie's misunderstanding, and, if uncorrected, what would Allie's answer be for 304 - 9?
The correct answer is 295.
If Allie's misunderstanding is not corrected, she might incorrectly subtract 9 from 304 and get an incorrect answer.
We have,
Based on the given information, Allie's misunderstanding is likely related to the concept of regrouping or borrowing when performing subtraction.
Allie may not have correctly subtracted the tens digit from the hundreds digit, resulting in an incorrect answer.
If Allie's misunderstanding is not corrected, her answer for 304 - 9 would also be incorrect.
Let's calculate it correctly:
When subtracting 9 from 304, we start with the one digit: 4 - 9.
However, since 4 is smaller than 9, we need to borrow from the tens digit. Therefore, we regroup 1 ten as 10 ones, making the tens digit 3 - 1 = 2, and the one's digit becomes 14 - 9 = 5.
Thus,
The correct answer is 295.
If Allie's misunderstanding is not corrected, she might incorrectly subtract 9 from 304 and get an incorrect answer.
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bro please i need the correct answer i will give u a brainliest to please i really need help
Answer:
A
Step-by-step explanation:
Because I am smart and u best mark me brainlist
I need help on this plz
Find the inverse of the one-to-one function. State the domain and the range of the inverse function. {(2, 11), (3, -4), (4, -1), (5, -14), (6, 1)} The inverse function is The domain of the inverse function is The range of the inverse function is
The inverse function is given by the set of points {(11, 2), (-4, 3), (-1, 4), (-14, 5), (1, 6)}, the domain of the inverse function is {11, -4, -1, -14, 1}, and the range of the inverse function is {2, 3, 4, 5, 6}.
To find the inverse of the one-to-one function defined by the given set of points {(2, 11), (3, -4), (4, -1), (5, -14), (6, 1)}, we need to swap the x-values with the y-values to obtain the reversed pairs of points.
The inverse function is {(11, 2), (-4, 3), (-1, 4), (-14, 5), (1, 6)}.
The domain of the inverse function is the set of all x-values from the original function, which in this case is {11, -4, -1, -14, 1}.
The range of the inverse function is the set of all y-values from the original function, which in this case is {2, 3, 4, 5, 6}.
Therefore, the inverse function is given by the set of points {(11, 2), (-4, 3), (-1, 4), (-14, 5), (1, 6)}, the domain of the inverse function is {11, -4, -1, -14, 1}, and the range of the inverse function is {2, 3, 4, 5, 6}.
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Use animation function in Matlab to visualize the
standing wave that is written as
(, ) = sin(z) sin (2),
Note: you can assume reasonable values for �
The animation function in Matlab can be used to visualize the standing wave that is written as(, ) = sin(z) sin (2). Here are the steps to do it:
Step 1: Define the values of x, y, and z coordinates. Let's say we assume the values of x, y, and z coordinates as follows:x = 0:0.01:1;y = 0:0.01:1;z = 0:pi/100:pi;
Step 2: Use meshgrid to create a grid of coordinates from the x, y, and z vectors. This creates a matrix of coordinates that can be used in the sin function. [X,Y,Z] = meshgrid(x,y,z);
Step 3: Use the sin function to calculate the values of the standing wave at each point in the grid. s = sin(Z).*sin(2*X);
Step 4: Use the animation function to visualize the standing wave as it oscillates. Here is the code for this:for i = 1:size(s,3) surf(s(:,:,i)) view(2) shading interp axis tight caxis([-1 1]) drawnow end
The animation function displays the standing wave as it oscillates in the z direction. The surf function is used to create a surface plot of the wave at each time step. The view function sets the camera view to 2D, and the shading interp function interpolates the colors between the vertices of the surface plot. The axis tight function sets the limits of the x, y, and z axis to the range of the data.
The caxis function sets the color scale to -1 to 1, which corresponds to the range of the sin function. The drawnow function updates the plot at each time step.
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Mrs. Hall records the height of 50 students in a spreadsheet the mean height is 60 inches after looking at the date again she realize that the two other observations were allies it must’ve been typos 82 and 86 inches she deleted these two observations what is the new mean rounded to the nearest hundredth
Answer:
67. 33 inches
Step-by-step explanation:
[50(68) - 82 - 86] / 48 = 67.33 If you add Natalie's age and Fred's age, the result is 42. If you add Fred's age to 3 times
Natalie's age, the result is 70. Write and solve a system of equations to find how old Fred and
Natalie are.
Answer:
N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28
Step-by-step explanation:
Using variables N=natalies age and F=Freds age
N+F=42 ----> N=42-F (take this and plug it into the other equation)
F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]
-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]
So N+28=42 or N=14.
pls help 42−6×4(12)3=
Answer:
-822
Step-by-step explanation:
i just typed it in the calculator
but if you're doing it by hand, 1st multiply 4*12*3*6 and then subtract 42 from it
Tell whether the angle measures can be those of a triangle.
20°, 160°, 20°
Yes, can be those of a triangle.
No, cannot be those of a triangle.
No.
The 3 angles of a triangle need to equal 180 degrees.
The sum of the 3 given angles is greater than 180 ( 160 + 20 + 20 = 200) so it cannot form a triangle.
Here are some possible examples of two families of orthogonal functions. Identify each of them as being definitely incorrect or potentially correct and explain why. I'm not asking you to solve three complete orthogonal trajectory problems! a. y = cx5 and 5x2 + y2 = k b. x2 + y2 = 2cy and x2 + y2 = 2kx c. x2 = y2 + c and y = ke
(a) y = cx⁵ and 5x² + y² = k are do not satisfy the conditions for orthogonality.
(b) x² + y² = 2cy and x² + y² = 2kx potentially represent families of orthogonal functions .
(c) x² = y² + c and y = kx potentially represent families of orthogonal functions .
a. y = cx⁵ and 5x² + y² = k: Definitely incorrect. The equation 5x² + y² = k represents an ellipse, whereas the equation y = cx⁵ represents a polynomial function. These two functions do not satisfy the conditions for orthogonality.
b. x² + y² = 2cy and x² + y² = 2kx: Potentially correct. Both equations represent circles in the xy-plane. However, for them to be orthogonal functions, the centers of the circles need to coincide at the origin (0, 0). If the centers are at the origin, then these equations can be potentially correct as orthogonal functions.
c. x² = y² + c and y = kx: Potentially correct. The equation x² = y² + c represents a hyperbola, and the equation y = kx represents a straight line passing through the origin. If the hyperbola is centered at the origin and the line passes through the origin, then these equations can be potentially correct as orthogonal functions.
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rounded to the thousands place :) thank you!!
5e^3x – 4 = 31
Step-by-step explanation:
Add 4 to both sides: 5e^3x = 35, or
Fitting a straight line to a set of data yields the following prediction line.
Y_i = 14 - 0.2X_i I
nterpret the meaning of the Y-intercept, b_0.
The Y-intercept (b_0 = 14) represents the predicted value of Y when X is zero.
In the given prediction line equation, Y_i = 14 - 0.2X_i, the Y-intercept is represented by the term '14', which is the coefficient of the constant term.
The Y-intercept, denoted as b_0, represents the predicted value of the dependent variable (Y) when the independent variable (X) is equal to zero. In this case, when X is zero, the equation becomes:
Y_i = 14 - 0.2(0) = 14
Therefore, the Y-intercept (b_0 = 14) represents the predicted value of Y when X is zero. It is the point where the prediction line intersects the Y-axis. In practical terms, it means that when the independent variable has no effect or has a value of zero, the predicted value of the dependent variable is 14.
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1. What is the diameter of a circle with radius of 7 inches?
Answer:
14 because the radius is half the diameter
Step-by-step explanation:
Answer:
The answer should be D=14in
I am the number that is 40 less than the largest number u can make using five of the digits what number am I
Only can use 1 8 3 4 9 6 2 7 I think
Answer:
9 876 391
Step-by-step explanation:
arrange the numbers in ascending order
9 876 391
subtract 40 from the number
9876431 - 40
9 876 391
A store is having a buy one get one 30% off sale. During the sale Christopher buys two pairs of shoes that each have a regular price of 48$. How much does Christopher pay for the two pairs of shoes?
Based on the figures below, are they similar?
Answer:
N/A
Step-by-step explanation:
No figures below.
here is the question PLEASE HELP!!!!!
Answer:
What is the question?
I can't see any question.
Solve: 3x - 18 = 6
Please answer and give the correct answer. Thank You! :)
Answer:
x = 8
Step-by-step explanation:
Hope this helps have a great day
The probability distribution of a game is shown in the table. Find the expected number of points won per play. Round to the nearest tenth if needed.
a) 5.7 b) 4.5 c) 4.7 d) 5
Answer:
4.5
Step-by-step explanation:
I just did this lesson and i just guessed, but i got it wrong and it said the answer was 4.5. basically, you multiply the fractions and the number value first,(like 1/6 X 0) and you do that to all of them. and then you add up all your answers, simplify them and put it in decimal form. and you get 4.5. hopefully that made enough sense.
A sphere has a radius of 5 inches. What is its volume?
4
Sphere V= 3
2. Substitute the radius into the formula:
V = 4659
2. Evaluate the power
V = 4(125)
3 Simplify:
VE
It in