Lori went to the grocery store and bought 7 1/2 of a pounds of vegetables. Kale made up 1⁄5 of Lori's vegetables. How many pounds of kale did Lori buy?

Answer:

i need the graph to know i can give you an explanation after you send the picture in

Step-by-step explanation:

Answer:

Thanks, hope you have a nice day!

Step-by-step explanation:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

The  Surface area of Composed figure is 1,341 square feet.

First, Surface Area of Prism

= (9 + 9 + 9)15 + (9)(6)

= 27 x 15 + 54

= 405 + 54

= 459 square feet

Now, Surface area of Cuboid

= 2 (105 + 210+ 126)

= 2(441)

= 882 square feet

Thus, the Surface area of Composed figure

= 459 + 882

= 1,341 square feet

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Answer:

x² + (y + 3)² = 25

Step-by-step explanation:

the centre (C) of the circle is at the midpoint of the diameter.

using the midpoint formula

midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )

C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )

the radius r is the distance from the centre to either P or Q

using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )

r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)  

 = \(\sqrt{3^2+(1+3)^2}\)

 = \(\sqrt{3^2+4^2}\)

 = \(\sqrt{9+16}\)

 = \(\sqrt{25}\)

 = 5

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (0, - 3 ) and r = 5 , then

(x - 0 )² + (y - (- 3) )² = 5² , that is

x² + (y + 3)² = 25

The mean of the team’s distances is 3.75 miles. The median of the team’s distances is 3.5 miles.

To find the mean of the distances run by the Kennedy High School cross-country running team, we will first add up all the distances and then divide by the number of distances. The distances ran by the Kennedy High School cross-country running team are:

3.5 miles, 2.5 miles, 4 miles, 3.25 miles, 3 miles, 4 miles, and 6 miles adding up these distances, we get:

3.5 + 2.5 + 4 + 3.25 + 3 + 4 + 6 = 26.25

So the sum of the distances is 26.25 miles. Now, to find the mean, we will divide by the number of distances, which is 7. Therefore, the mean of the distances is: Mean = Sum of distances / Number of distances

Mean = 26.25 / 7

Mean = 3.75 miles

To find the median of the distances run by the team, we will first arrange the distances in order from smallest to largest:2.5 miles, 3 miles, 3.25 miles, 3.5 miles, 4 miles, 4 miles, 6 miles

Now, we will find the middle value. Since there are 7 distances, the middle value will be the 4th value. Counting from the left, the 4th value is 3.5 miles. Therefore, the median of the distances ran by the team is 3.5 miles.

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Answer:

Y= 3w-4.5

Step-by-step explanation:

When A is a 6 x 5 matrix. a should be equal to 6 and b should be equal to 5 in order to define T:  \(R^6 - > R^5 by T(x) = Ax\).

For the transformation \(T: R^a - > R^b\)to be defined by T(x) = Ax, the number of columns of A must be equal to the dimension of the input vector x, which is a. Also, the number of rows of A must be equal to the dimension of the output vector Ax, which is b. Therefore, we have:

A: \(6 \times 5\)

x: a-dimensional vector in \(R^a\)

Ax: b-dimensional vector in \(R^b\)

Since Ax is a b-dimensional vector, we must have b = 6. Also, since x is an a-dimensional vector, we must have A have a total of a entries (i.e., 5a).

Therefore, a must satisfy the equation:

5a = number of entries in \(A = 6 \times 5 = 30\)

Thus, we have a = 6 and b = 5.

Therefore, to define the transformation T: \(R^6 - > R^5 by T(x) = Ax\), we need A to be a \(6 \times 5\) matrix 30.

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To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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Answer:

i beileve the answer is 10

Answer:

10

Step-by-step explanation:

Answer:

x^2-2x-8<0

Step-by-step explanation:

It is difficult visualizing the expressions, so lets change them to equations by substituting a "y" in place of the 0 of the inequality.  This will allow us to graph the expressions.  Then if we focus on only the y=0 line in the graph, we can find the correct inequality.

All four expressions are graphed with this substitution and included on the attached worksheet.  Note the marked their marked differences.  The two points on the given number line (-4,0) and (2,0) are marked on each graph.

What we should focus on first is which graphs actually intersect the two end values of x given on the number line:  -4 and 2.  Since we used y instead of "0" in the expressions, we are seeing everything, for all values of x.  But what we really want are -4 and 2, which we can mark with (-4,0) and (2,0).

Only two graphs intersect (-4,0) and (2,0):  the first and third (lower left).  The first (x^2-2x-8<y)  has the interior of the parabola colored blue - these are the valid points for the inequality.  The number line between (-4,0) and (2,0) in included.  The third (x^2-2x-8>y) is colored everywhere outside the parabola, and thus exclues the number line in the region we are interested.  So the equation for this graph is not a valid possibility.

We may conclude that graph 1 is correct.  The important section of the graph is expanded at the bottom.  Since the graph line is dotted, the two points (-4,0) and (2,0) are not actually included on the line - they are simply a boundary, due to the < function.  They would be included if the expression had said ≤ or ≥    (with the = sign).      

The expression that represents the solution set is x^2-2x-8<0    

Answer:

She is using associative property of addition.

Step-by-step explanation:

(27+13)+55 This is the same steps I used from the description of what Shilo did.

Hope this helps! Sorry, my english is not that good

Answer:

She is using associative property of addition.

Step-by-step explanation:

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:

Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).

Let's assume we have a 2x2 matrix A:

  | a  b |

A = | c d |

To find the eigenvalues, we need to calculate the characteristic equation:

det(A - λI) = 0,

where I is the 2x2 identity matrix and λ is the eigenvalue.

A - λI = | a-λ b |

| c d-λ |

The determinant of this matrix is:

(a-λ)(d-λ) - bc = 0,

which simplifies to:

λ² - (a+d)λ + (ad - bc) = 0.

This quadratic equation gives us the eigenvalues.

Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.

Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.

For each eigenvalue, set up the homogeneous system of equations:

(A - λI)v = 0,

where v is the eigenvector.

Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.

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The equation of the sphere in standard form is:

(x + 9/2)² + (y - 1)² + (z + 4)² = 3

And, the center of the sphere is at the point (-9/2, 1, -4) and the radius is sqrt(3).

For the equation of the sphere x²+y²+z²+9x-2y+8z+21=0 in standard form, we complete the square for the x, y, and z variables.

First, for the x variable, we add and subtract (9/2)² = 81/4:

x² + 9x + 81/4 + y² - 2y + z² + 8z + 21 = 0 + 81/4

Simplifying, we get:

(x + 9/2)² + y² - 2y + (z + 4)² - 55/4 = 0

Next, for the y variable, we add and subtract 1:

(x + 9/2)² + (y - 1)² + (z + 4)² - 59/4 = 0

Finally, for the z variable, we add and subtract 4² = 16:

(x + 9/2)² + (y - 1)² + (z + 4)² - 3 = 0

So the equation of the sphere in standard form is:

(x + 9/2)² + (y - 1)² + (z + 4)² = 3

Therefore, the center of the sphere is at the point (-9/2, 1, -4) and the radius is sqrt(3).

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Complete question is shown in image.

The equation of the tangent line to the curve \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) at the point (1, 0) is y = (2/3)x - 2/3.

To find the equation of the tangent line to the curve at the point (1, 0), we need to find the slope of the tangent line and then use the point-slope form of a linear equation.
Let's differentiate \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) using the quotient rule:

\(y' = [(2x)(x^2 + x + 1) - (x^2 - 1)(2x + 1)] / (x^2 + x + 1)^2\)
Substituting x = 1 into the derivative expression:

\(y'(1) = [(2(1))(1^2 + 1 + 1) - (1^2 - 1)(2(1) + 1)] / (1^2 + 1 + 1)^2\)

        \(= [2(3) - (0)(3)] / (3)^2\)

        = 6/9

        = 2/3

Using the point-slope form y - y₁ = m(x - x₁), where (x₁, y₁) = (1, 0) and m = 2/3 we get,  
y - 0 = (2/3)(x - 1)

y = (2/3)x - 2/3

The point-slope form of a linear equation is given by y - y₁ = m(x - x₁) where (x₁, y₁) is a point on the line, and m is the slope of the line.

Therefore, the equation of the tangent line to the curve y = (x^2 - 1) / (x^2 + x + 1) at the point (1, 0) is y = (2/3)x - 2/3.

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The complete question is:

Find an equation of the tangent line to the given curve at the specified point, \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) at (1,0).

Step-by-step explanation:

2+3x=3x+2

3x=3x+2-2

3x=3x

x=3÷3

x=1

ANSWER:

x=1

To create a list of 10 random numbers ranging from 1 to 1000, you can use the `random` module in Python. Here's an example of how you can generate the list:

```python
import random

def create_random_list():
   random_list = []
   for _ in range(10):
       random_number = random.randint(1, 1000)
       random_list.append(random_number)
   return random_list

numbers = create_random_list()
print(numbers)
```

This code will generate a list of 10 random numbers between 1 and 1000 and store it in the variable `numbers`.

Next, let's design a function that accepts this list and uses recursion to find the biggest value and its index number. Here's an example:

```python
def find_biggest(numbers, index=0, max_num=float('-inf'), max_index=0):
   if index == len(numbers):
       return max_num, max_index
   if numbers[index] > max_num:
       max_num = numbers[index]
       max_index = index
   return find_biggest(numbers, index + 1, max_num, max_index)

biggest_num, biggest_index = find_biggest(numbers)
print("The biggest value in the list is:", biggest_num)
print("Its index number is:", biggest_index)
```

In this function, we start by initializing `max_num` and `max_index` as negative infinity and 0, respectively. Then, we use a recursive approach to compare each element in the list with the current `max_num`. If we find a number that is greater than `max_num`, we update `max_num` and `max_index` accordingly.

The base case for the recursion is when we reach the end of the list (`index == len(numbers)`), at which point we return the final `max_num` and `max_index`.

Finally, we call the `find_biggest` function with the `numbers` list, and the function will return the biggest value in the list and its index number. We can then print these values to verify the result.

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Answer:

Step-by-step explanation:

\(\pmb {sin(22)^o=\cfrac{x}{35} }\)

\(\pmb {35sin(22)=w}\)

\(\pmb {w=13.11}\)

_________________

Hope this helps!

Have a great day! :)

The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.  

The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.

Theoretical yield is given as mt = 9.23 g

The actual amount of product recovered is given as ma = 7.89 g

We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.

Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %

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The estimate of the standard deviation (Sp) for the total number of errors in assignments from various semesters is approximately 0.044996 and the upper control limit (UC) is approximately 0.374988, and the lower control limit (LCL) is approximately 0.105012 for the p chart.

To compute the estimate of the standard deviation (Sp), we need to determine the proportion of assignments with errors in each semester and calculate the overall proportion of assignments with errors.

Given:

Number of semesters (n) = 5

Total number of assignments per semester (nupper) = 150

Proportion of assignments with errors (p) = 0.24

First, we calculate the proportion of assignments with errors for each semester:

Semester 1: p1 = (150 * 0.24) / 150

= 0.24

Semester 2: p2 = (150 * 0.24) / 150

= 0.24

Semester 3: p3 = (150 * 0.24) / 150

= 0.24

Semester 4: p4 = (150 * 0.24) / 150

= 0.24

Semester 5: p5 = (150 * 0.24) / 150

= 0.24

Next, we calculate the overall proportion of assignments with errors:

p = (p1 + p2 + p3 + p4 + p5) / n

= (0.24 + 0.24 + 0.24 + 0.24 + 0.24) / 5

= 1.2 / 5

= 0.24

Now we can compute the estimate of the standard deviation (Sp):

S = √((n - 1) * (1 - p) / n)

= √((5 - 1) * (1 - 0.24) / 150)

= √(4 * 0.76 / 150)

= √(0.304 / 150)

≈ √0.0020267

≈ 0.044996

Finally, we can compute the upper control limit (UC) and lower control limit (LCL) for the p chart using the formula:

UC = p + (3 * Sp)

LCL = p - (3 * Sp)

UC = 0.24 + (3 * 0.044996)

= 0.24 + 0.134988

≈ 0.374988

LCL = 0.24 - (3 * 0.044996)

= 0.24 - 0.134988

≈ 0.105012

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A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is

Given n(sample size) = 84

Population mean(μ) = 180

Standard Deviation(σ) = 36

Standard error of the mean = σx-bar = σ/√n = 36/√84 = 36/9.165 = 3.927

Standardizing the sample mean we have

Z = (x-bar - μ)/σx-bar = (x-bar - μ)/σ/√n

x-bar = 180

Z(x-bar=185 at point C) = (185 - 180)/3.927 = 5/3.927 = 1.273

Z(x-bar=181 at point D) = (181 - 180)/3.927 = 1/3.927 = 0.254

The area ABCD is the probability that the sample mean will lie between 181 and 185.

The shaded Area ABCD = (Area corresponding to Z = 2 or x-bar = 185) - (Area corresponding to Z = 1 or x-bar = 181)

Area corresponding to Z = 1.273 = 0.898

Area corresponding to Z = 0.254 = 0.598

The shaded Area ABCD = 0.898-0.598 = 0.300

Therefore the probability that the sample mean will lie between 181 and 185 is 0.300.

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Answer:

Perimeter of rectangle B = 29cm

Step-by-step explanation:

Area of A = 4x x 2.5

Area of B = (2x - 3) x 7

The area of A and B are equal so

4x x 2.5 = (2x - 3) x 7

10x = 14x - 21

-4x = -21

4x = 21

x = 5.25

Work out the perimeter of B:

2x - 3

= (2 x 5.25) - 3

= 7.5

7.5 x 2 = 15

15 + (7 x 2) = 29

Therefore, the perimeter of rectangle B = 29cm

The area of Rectangle is length times of width. Perimeter of rectangle A is 47cm

The area of Rectangle is length times of width.

Area of rectangle A is 4x x 2.5

Area of B = (2x - 3) x 7

The area of A and B are equal so

4x x 2.5 = (2x - 3) x 7

10x = 14x - 21

Take common variables on one side

10x-14x=-21

-4x = -21

Multiply minus on both sides

4x = 21

Divide both sides by 4

x = 5.25

So 4x=4(5.25)=21

2x-3=2(5.25)-3=7.5

Let us find the perimeter of a rectangle with length 21 and width 2.5

2(21+2.5)

2(23.5)=47

The perimeter of rectangle A is 47

Hence the perimeter of rectangle A = 47cm

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The equation represents the fraction of the candy bar you gave away is:

2/10 + 5/10 = 7/10

A fraction is a mathematical representation of a part of a whole. It is used to indicate a portion or a part of a quantity, typically expressed as a ratio of two numbers separated by a horizontal line, called a fraction bar or a vinculum.

The number above the fraction bar is called the numerator, and the number below it is called the denominator.

Since you gave 2/10 of the candy bar to your sister and 5/10 to your brother.

Amount you give away = 2/10 + 5/10 = 7/10

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He is opening a dialog box to access a second workbook by pressing F12 and then clicking tool box.

A dialog box is a temporary window an application creates to retrieve user input. An application typically uses dialog boxes to prompt the user for additional information for menu items.It (also spelled dialogue box, also called a dialog) is a common type of window in the GUI of an operating system. The dialog box displays additional information, and asks a user for input. For example, when you are using a program and you want to open a file, you interact with the "File Open" dialog box.

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9514 1404 393

Answer:

  see attachment

Step-by-step explanation:

The "experimental probability" is the ratio of actual outcomes of interest to the number of trials. It is based on actually performing the selection over and over some number of times. The "theoretical probability" will be the fraction that is the outcomes of interest divided by the total number of possible outcomes.

We note that Mel's purse contains a total of 6 +8 +4 +7 = 25 coins. The theoretical probability of selecting any given coin is then 1/25.

__

Orange

A. The experimental probability of selecting a dime is ...

  number of dime outcomes / number of trials = 30/150 = 1/5

B. The theoretical probability of selecting a dime is ...

  (4 dimes)/(25 coins) = 4/25

C. The assumption in probability experiments is that randomly selected outcomes will always approach the theoretical probability in their frequency of occurrence.

See the attachment for the appropriate answer choices.

__

Purple

A. The experimental probability of selecting a penny is ...

  number of penny outcomes / number of trials = 45/200 = 9/40

B. The theoretical probability of selecting a penny is ...

  (6 pennies)/(25 coins) = 6/25

C. The difference between these values is ...

  6/25 -9/40 = 48/200 -45/200 = 3/200

See the attachment for the appropriate answer choices.

The gravitational potential energy of the vacationers will decrease as they approach the end of the pier.

As the vacationers approach the end of the pier, their gravitational potential energy will decrease.

Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It depends on the height of the object and the acceleration due to gravity.

In this scenario, as the vacationers walk out on the horizontal pier, their height above the ground remains constant. Since the height does not change, the gravitational potential energy also remains constant.

However, as they approach the end of the pier, their distance from the center of the Earth decreases. As a result, the gravitational potential energy decreases because it is directly proportional to the distance from the center of the Earth.

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When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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The number of keys required to fully implement a symmetric algorithm with 10 participants is: 45 (Option C)

Symmetric encryption or Algorithm is a kind of encryption that uses a single key (a secret key) to encrypt and decode electronic data.

The key must be exchanged between the organizations communicating using symmetric encryption so that it may be utilized in the decryption process.

The formula that determines the number of keys necessary for a symmetric algorithm is given as;

(n*(n-1))/2,

which is 45 in this situation, when n = 10.

That is

(10 * (10-1))/2

= 45.

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Full Question:

How many keys are required to fully implement a symmetric algorithm with 10 participants?

A. 10

B. 20

C. 45

D. 100

Answer:

The answer is B

Step-by-step explanation:

total spent is = 45$

let money spent on snack is x

let money spent on rides is y

so the equation of the expenses is ,

x + y = 45

thus, the answer is

x + y = 45

Answer

SOLUTION

Problem Statement

The question asks us to insert the correct operator symbol depending on which number is greater, smaller or whether the two numbers are equal

The numbers given are:

Solution

To solve this problem, we need to ensure the two numbers are in the same form. Either they are both decimals or they are both fractions.

For this solution, we should make the fraction into a decimal and then compare the two numbers.

We should note that for negative numbers if a negative number is larger in magnitude than another negative number, then the negative number with the larger magnitude is actually the smaller number.

To illustrate this, take the following example:

Now that we understand the logic to use to solve the question, we can proceed to solve the question.

Let us now convert the fraction into a decimal:

After this, we can now compare the two numbers:

Therefore, the solution is: