can someone help me to solve this question? ​

Answer:

9 units

Step-by-step explanation:

Given: Two points on a coordinate plane are \((-5,9),\,(4,9)\)

To find: distance between points \((-5,9),\,(4,9)\)

Solution:

According to the distance formula,

Distance between points \((a,b)\) and \((c,d)\) is equal to \(\sqrt{(c-a)^2+(d-b)^2}\)

Take \((a,b)=(-5,9),\,(c,d)=(4,9)\)

Therefore,

Distance between points \((-5,9),\,(4,9)\) \(=\sqrt{(4+5)^2+(9-9)^2}\)

                                                               \(=\sqrt{(9)^2}\)

                                                               \(=9\) units

Answer:

82 degrees

let the point where the lines cross be E

ABD angle is 108 / 2 = 54 degrees

CAB angle is 56 / 2 = 28 degrees

the missing angle in ABE triangle is 180-54-28=98 degrees. angle x is 180 - 98 = 82

The solution y = c1cos(3x) + c2sin(3x) is a solution of the differential equation y'' + 9y = 0.

To verify that y = c1cos(3x) + c2sin(3x) is a solution of y'' + 9y = 0, we need to substitute it into the differential equation and check if the equation holds true.

Taking the first and second derivatives of y with respect to x:

y' = -3c1sin(3x) + 3c2cos(3x)

y'' = -9c1cos(3x) - 9c2sin(3x)

Substituting these derivatives into the differential equation:

y'' + 9y = (-9c1cos(3x) - 9c2sin(3x)) + 9(c1cos(3x) + c2sin(3x))

= -9c1cos(3x) - 9c2sin(3x) + 9c1cos(3x) + 9c2sin(3x)

= 0

The solution y = c1cos(3x) + c2sin(3x) satisfies the differential equation y'' + 9y = 0.

Now, let's solve the boundary value problem y'' + 9y = 0,

y(0) = 0,

y(32π) = 1.

Substituting x = 0 into the solution y = c1cos(3x) + c2sin(3x), we get:

y(0) = c1cos(0) + c2sin(0)

= c11 + c20

= c1

Using the condition y(0) = 0, we have c1 = 0.

Substituting x = 32π into the solution y = c1cos(3x) + c2sin(3x), we get:

y(32π) = c1cos(96π) + c2sin(96π)

= c2*sin(96π)

Using the condition y(32π) = 1, we have c2*sin(96π) = 1.

The sine function has a period of 2π, so sin(96π) = sin(0) = 0. Therefore, c2 * 0 = 1 has no solution.

The boundary value problem y'' + 9y = 0,

y(0) = 0,

y(32π) = 1 has no solution.

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Answer:

5 inches

Step-by-step explanation:

volume is base*height. just calculate 525/105.

The market researcher should collect a sample size of at least 97 to get a margin of error of no more than $10 at a 95% confidence level, assuming a standard deviation of $100.

To calculate the required sample size, we use the formula:

n = (Z^2 * σ^2) / E^2

Where:

n = sample size

Z = the Z-score for the desired confidence level (in this case, 1.96 for 95%)

σ = the standard deviation of savings ($100)

E = the desired margin of error ($10)

Plugging in the values, we get:

\(n = (1.96^2 * 100^2) / 10^2 = 96.04\)

Since we cannot have a fractional sample size, we round up to the nearest whole number and get a required sample size of 97.

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.

Add to Start of List:

Singly Linked List: O(1)

Doubly Linked List: O(1)

Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.

This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.

Add to End of List:

Singly Linked List: O(n)

Doubly Linked List: O(1)

Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.

In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.

This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.

Add at Given Index:

Singly Linked List: O(n)

Doubly Linked List: O(n)

Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.

This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.

Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.

In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.

On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.

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Answer:

7x for the first one and −5x^8+12 for the second one

Step-by-step explanation:

please mark me brainliest :)

Answer:

-2

Step-by-step explanation:

(x³+5x²-2-2x-24) by (x-2)

x-2 = 0

x=2.

2³ + 5(2)² - 2 - 2(2) - 24

= 8 + 20 - 2 - 4 - 24

= 28 - 30

= -2.

\(\text{Area of the trapezoid}= \left(\dfrac{AD+BC}2\right)CK\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\left( \dfrac{10+8}2\right) \times 30 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac{18}2 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=9 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=270~~ \text{sq units.}\)

The range is the appropriate measure of variability, and its value is 700.

The appropriate measure of variability for the given data set is the range. The range measures the spread of the data by calculating the difference between the maximum and minimum values.

To find the range for the data set [400, 550, 650, 650, 900, 1100], we subtract the minimum value from the maximum value:

Range = Maximum value - Minimum value

= 1100 - 400

= 700

Therefore, the range for the given data set is 700.

To address the statements you provided:

The mean is not the best measure of variability, as it represents the average value of the data, not the spread or variability.

The median is also not the best measure of variability, as it represents the middle value of the data set, not the spread or variability.

The IQR (Interquartile Range) is not applicable in this case since it is used for analyzing data with quartiles and dividing the data into lower and upper halves.

Hence, the correct answer is:

The range is the appropriate measure of variability, and its value is 700.

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The expression 81xy^4 - yx cannot be simplified

From the question, we have the following parameters that can be used in our computation:

81xy4 - yx

Express properly

So, we have the following representation

81xy^4 - yx

This expression can be rewritten a

81xy^4 - xy

There are no like terms in the above expression

This means that the expression cannot be simplified

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The given inequality is

First, we need to isolate y

To do that we want to move 2y from the right side to the left side, then

To do that subtract 2y from 3y and subtract 2y from (2y + 3)

Since 3y - 2y = 1y

Since 2y - 2y = 0

Since 0 + 3 = 3

Then the answer is

The answer is B

Answer:

8

Step-by-step explanation:

The equation that represents this situation is p = 4 + 5d

Algebraic expressions are known as mathematical expressions made up of:

From the information given, we have that:

The equation this represents is:

p = 4 + 5d

Thus, the equation that represents this situation is p = 4 + 5d

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An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.

To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:

θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.

Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.

To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.

θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad

To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds

The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.

This is very small and would require a large telescope to achieve.

In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

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Answer:

12

Step-by-step explanation:

122

Answer:

the answer would be option C. I just took the quiz

Step-by-step explanation:

i took the test!!!!!

Answer:

a and d

Step-by-step explanation:

Answer:

Since we know the number 8 is in all 3 shapes we know D is 8. The clue after that tells us that C is brown. Since brown, purple, and orange are in the circle that means that D is either purple or orange but since the purple section has 5 and D is 8 we know that D is orange, B is purple, and B is 5. Since the blue section is only in the triangle, we know that F is blue. From the last clue we know that A is green. Since green and pink are in the rectangle only, G is pink. Using the third clue we know that E and F are 6 and 1 but we don't know which is which. Thankfully, since we know F is blue and the yellow section is 1, we can conclude that F is 6, E is yellow, and E is 1. We know that A and G are 3 and 4 but we don't know which is which, and we know C is 9. Since A's number is smaller than G's we know that A is 3 and G is 4.

The number of different paths from Point A to Point B is 20

From the question, we have the following parameters that can be used in our computation:

From the above parameters, we have the following subsets that can be used in our computation:

Horizontal paths = 3

Vertical paths = 3

So, the shortest movement is calculated as

shortest, n = Horizontal paths + Vertical paths

Substitute the known values in the above equation, so, we have the following representation

n = 3 + 3

Evaluate the sum

This gives

n = 6

The number of paths between the points is then calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 6 and r = Vertical paths = 3

Substitute the known values in the above equation

Total = ⁶C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 6!/3!3!

Evaluate

Total = 20

Hence, the number of paths between the points is 20

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Answer:

Answer will be the 7/3<x>7/3

As there is a greater linear relationship between the variables in the data set with an  R² value of 0.95, it is more linear. The solution given in option a, "The one with  R² = 0.95 is more linear," is correct.

In a linear regression model, the coefficient of determination, or  R², quantifies the percentage of the dependent variable's variation that is explained by the independent variable(s).

Strong linear relationships between the variables are indicated by an R² value that is close to 1, whereas weak linear relationships are indicated by a value that is close to 0.

Therefore, Because there is a stronger linear relationship between the variables in the data set with an R² value of 0.95 than in the data set with an R² value of 0.81, it is more linear.

The more closely the data points are grouped around a single line, the stronger the linear relationship, and the closer the R² number is to 1.

Therefore, We can deduce that the proper response is an option a, "The one with R²= 0.95 is more linear." Write your response in two lines.

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The matrix exponential M(t) = exp(t*A) are: M11(t) = exp(1*t)*(-1/2)*(-1/2) + exp(2*t)*(1/2)*(1/2) = (1/4)*exp(t) + (1/2)*exp(2*t)
M12(t) = exp(1*t)*(-1/2)*(1) + exp(2*t)*(1/2)*(1) = (1/2)*(exp(2*t) - exp(t))
M21(t) = exp(1*t)*(1)*(1/2) + exp(2*t)*(1/2)*(1) = (1/2)*(exp(2*t) + 1)
M22(t) = exp(1*t)*(1)*(1) + exp(2*t)*(1)*(1) = exp(t) + exp(2*t)

To find the matrix exponential M(t) = exp(t*A), we first need to find the eigenvectors of A corresponding to the eigenvalues X1 = 1 and X2 = 2.

For X1 = 1, we solve the equation (A - I)*v = 0, where I is the identity matrix:

(A - I)*v = (1 1; 2 2 - 1)*v = 0
RREF([A - I, zeros(2,1)])
ans =
   0    0   -1
   0    0    0

So we have the equation -v2 = 0, which means v2 can be any non-zero value. Let's choose v2 = 1, then v1 = -1/2. So the eigenvector corresponding to X1 is v1 = (-1/2; 1).

For X2 = 2, we solve the equation (A - 2*I)*v = 0:

(A - 2*I)*v = (-1 1; 2 -2)*v = 0
RREF([A - 2*I, zeros(2,1)])
ans =
   0    0   -1
   0    0    0

So we have the equation -v2 = 0, which means v2 can be any non-zero value. Let's choose v2 = 1, then v1 = 1/2. So the eigenvector corresponding to X2 is v2 = (1/2; 1).

Now we can construct the matrix exponential M(t) = exp(t*A) using the formula:

M(t) = c1*exp(X1*t)*v1*v1' + c2*exp(X2*t)*v2*v2'

where c1 and c2 are constants determined by the initial conditions. Since we don't have any initial conditions given, we can choose c1 = 1 and c2 = 0 for simplicity.

So we have:

M11(t) = exp(1*t)*(-1/2)*(-1/2) + exp(2*t)*(1/2)*(1/2) = (1/4)*exp(t) + (1/2)*exp(2*t)
M12(t) = exp(1*t)*(-1/2)*(1) + exp(2*t)*(1/2)*(1) = (1/2)*(exp(2*t) - exp(t))
M21(t) = exp(1*t)*(1)*(1/2) + exp(2*t)*(1/2)*(1) = (1/2)*(exp(2*t) + 1)
M22(t) = exp(1*t)*(1)*(1) + exp(2*t)*(1)*(1) = exp(t) + exp(2*t)

So the matrix exponential M(t) is:

M(t) = ( (1/4)*exp(t) + (1/2)*exp(2*t)    (1/2)*(exp(2*t) - exp(t));
       (1/2)*(exp(2*t) + 1)              exp(t) + exp(2*t) )

To find the matrix exponential M(t) = exp(tA) given that the eigenvalues of matrix A are λ1 = 1 and λ2 = 2, we first need to find the eigenvectors corresponding to each eigenvalue, and then form the matrix P of eigenvectors and the diagonal matrix D of eigenvalues. Finally, we can compute M(t) using the formula:

M(t) = P * exp(tD) * P^(-1)

After finding the eigenvectors and forming the matrices P and D, compute exp(tD) by taking the exponentiation of each diagonal element:

exp(tD) = | exp(tλ1)   0      |
              | 0          exp(tλ2) |

Now, compute M(t) by multiplying P, exp(tD), and the inverse of P. The resulting matrix M(t) will have the following components:

M11(t) = exp(1*t)*(-1/2)*(-1/2) + exp(2*t)*(1/2)*(1/2) = (1/4)*exp(t) + (1/2)*exp(2*t)
M12(t) = exp(1*t)*(-1/2)*(1) + exp(2*t)*(1/2)*(1) = (1/2)*(exp(2*t) - exp(t))
M21(t) = exp(1*t)*(1)*(1/2) + exp(2*t)*(1/2)*(1) = (1/2)*(exp(2*t) + 1)
M22(t) = exp(1*t)*(1)*(1) + exp(2*t)*(1)*(1) = exp(t) + exp(2*t)

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Answer:

im the grinch

Step-by-step explanation:

Answer:

we wish you a merry Christmas and a happy new year (◠‿◕)

Answer:

Step-by-step explanation:

Let the no. be x

3 times the no. will be 3x

adding 7 to 3 times the no. will be 3x + 7

the result is 66 so it will be 3x + 7 = 66

Hope this helps

plz mark as brainliest!!!!!

Answer:

D: Yes, a reasonable estimate is around 5 · $7 = $35.

Step-by-step explanation:

None

The equation will be changed into = f(x)= 32

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

A statement is not an equation if it has no "equal to" sign.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Hence, The equation will be changed into = f(x)= 32

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