Use this to calculate the area of a square that has perimeter 6 units

The probability that you will not be assigned weekends is 4/49

For given question,

A supervisor assigns you 5 evenings out of 7 possibilities.

so, you will not be assigned 2 evenings out of  7 possibilities.

Let event A:  you will not be assigned on Saturday

event B:  you will not be assigned on Sunday

Using probability formula,

The probability that you will not be assigned on Saturday = 2/7

⇒ P(A) = 2/7

Similarly using probability formula,

the probability that you will not be assigned on Sunday = 2/7

⇒ P(B) = 2/7

We need to find the probability that you will not be assigned weekends.

P(A∩B) will represent the probability that  you will not be assigned on both days (weekends)

P(A ∩ B) = P(A) × P(B)

Substituting values,

⇒ P(A ∩ B) = 2/7 × 2/7

⇒ P(A ∩ B) = 4/49

Therefore, the probability that you will not be assigned weekends is 4/49

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Answer:

d

Step-by-step explanation:

The rule that was used to translate the image is (x, y) → (x – 6, y + 11)

Translation is a way of moving an object from one location to another on the xy- plane

Given the coordinate of the right triangle LMN with vertices L(7, –3), M(7, –8), and N(10, –8)

If the triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8), the translation used will be:

L'(1, 8) = (x, y) - L(7, -3)

(X, Y) =  L'(1, 8) +  L(7, -3)

(X, Y) = (1+7, 8+3))

(X, Y) = (-6, 11)

Hence the rule that was used to translate the image is (x, y) → (x – 6, y + 11)

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Answer:

$6 left

Step-by-step explanation:

since she saved up for 10 weeks= 3*10
$30-$24(price of the shirt)

=$6

Answer:

1. No

2. Yes

3. No

4. Yes

Step-by-step explanation:

Plug in values for the unknowns into bother expressions to see if the give the same answer.

I don't really know how to do this but the best thing I can say is to replace those variables with a number and then put it in a calculator. Make sure each variable has a different number.

so for the first one, I made s as 2 and t as 3. I got 18 for the first one and 6 on the other one so they're clearly not equal.

good luck!

(10y - 4) + (7y + 8) + (7y - 5) + (4y - 5) =

= 10y - 4 + 7y + 8 + 7y - 5 + 4y - 5 =

= 10y + 7y + 7y + 4y - 4 + 8 - 5 - 5 = 28y - 6

Answer:

I think it's 10 or 10.5 not sure

Step-by-step explanation:

Step-by-step explanation:

A function is continuous at x is

Limit as x approaches c= f(c).

Step 1: Find f(4).

4 is defined for 2x-1 so plug in. 4 for x.

\(2(4) - 1 = 7\)

Note that what we just calculated was not only f(4) but also the left sided limit of f(x).

Step 2: Make sure the left sided and right sided limit are equal to 7.

\(a + 5x = 7\)

Plug in 4 for x

\(a + 5(4) = 7\)

\(a = - 13\)

Answer:

12/20=3/5   5/20=1/4 so the answer would be 12/20 + 5/20

Hope this helped you!!

Equivalent fractions for \(\boldsymbol{\frac{3}{5},\frac{1}{4}}\) are \(\boldsymbol{\frac{12}{20},\frac{5}{20}}\) respectively.

A fraction is a portion of another or, more broadly, a set of equal pieces. Equivalent fractions are fractional that have the same value notwithstanding their appearance.

\(\boldsymbol{\frac{3}{5}=\frac{3\times 4}{5\times 4}}\)

  \(=\frac{12}{20}\)

\(\boldsymbol{\frac{1}{4}=\frac{1\times 5}{4\times 5}}\)

  \(=\frac{5}{20}\)

So, equivalent fractions for \(\boldsymbol{\frac{3}{5},\frac{1}{4}}\) are \(\boldsymbol{\frac{12}{20},\frac{5}{20}}\) respectively.

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Answer:

square root of 4761 = 69

Step-by-step explanation:

The team can bring 15 players to the tournament.

A division is a process of splitting a specific amount into equal parts.

Let's start by subtracting the cost of the bus from the total amount raised:

$1511 - $933.50 = $577.50

We can use the remaining amount of money to determine how much the team can spend on meals for each player.

We are given that the budget for meals is $38.50 per player

Set up an equation to solve for the number of players:

$577.50 ÷ $38.50 per player = number of players

$577.50 ÷ $38.50 = 15

Therefore, the team can bring 15 players to the tournament.

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Answer:

60 yards

Step-by-step explanation:

100 feet + 20 feet + 60 feet = 180 feet

180 feet = 60 yards (there are 3 feet in 1 yard)

Answer:

Integers are always whole values such as 4, 10, or 58. They can represent something that can't be partial. (hope this was what you were looking for!)

Answer:

10

Step-by-step explanation:

\( \sqrt{100} = 10\)

Hope it helps you in your learning process.

The slope of the tangent to the curve y = (x + 2)e^-x at the point (0,2) is -1.

The slope of a tangent to a curve represents the rate of change of the curve at a specific point. To find the slope of the tangent at the point (0,2) for the given curve\(y = (x + 2)e^-^x\), we need to find the derivative of the curve and evaluate it at x = 0.

Taking the derivative of \(y = (x + 2)e^-^x\) with respect to x, we get dy/dx = (1 - x - 2)e⁻ˣ.

Evaluating this derivative at x = 0, we have dy/dx = (1 - 0 - 2)e⁰ = -1.

Therefore, the slope of the tangent to the curve\(y = (x + 2)e^-^x\)at the point (0,2) is -1.

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Answer:

In geometry, point, line, and plane are considered undefined terms because they are only explained using examples and descriptions. that lie on the same line. that lie in the same plane.

The point, line, and plane are undefined words in geometry. Parallel lines are explained using one of the undefined terms "line".

Parallel lines are coplanar straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space and also the distance between these two lines is always constant.

The point, line, and plane are undefined words in geometry since they are only described by examples and explanations. Identify the points, lines, and planes. Collinear points are those that are located on the same line.

Parallel lines are explained using one of the undefined terms "line". The Parallel lines are coplanar straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space and also the distance between these two lines is always constant.

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The order of the U5 and U6 is not equal hence isomorphic.

U5 fifth root of unit

U6  sixth root of unit

U5 = { z E c : Z^5 =1 }

= {e ^2ikx : k=0,1,2,,,,n}

U6 = { z E c : Z^6 =1 }

= {e ^2ikx : k=0,1,2,,,,n-1}

U5 = Z5

U6 = Z6

In mathematics, an isomorphism is a structure-preserving mapping between two similar structures that can be reversed by inverse mapping. Two mathematical structures are isomorphic if there is an isomorphism between them.

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Answer:

The correct options are;

A circular game piece is moved three squares forward

The flag on a mailbox is turned up

Step-by-step explanation:

An isometric transformation also known as isometry, is the rigid motion transformation or movement that preserves the shape, angles, and distances between of a pre-image (object) and the final image.

Rotation, reflection, translation (parallel motion), glide deflection (transformation involving translation and reflection) such as snow footprints are forms of isometric transformation.

Answer:

Correct answers are

B A circular game piece is moved three squares forward.

C The flag on a mailbox is turned up.

D The letters of words on an emergency vehicle are written from right to left so they appear correctly in a car’s rear-view mirror.

Step-by-step explanation:

Answer:

Horizontal asymptote: y=0

Vertical asymptotes: x=-3, x=0, and x=2

Step-by-step explanation:

Hi there!

The asymptotes of a graph are lines that the graph travel infinitely closer to, but never touch.

For this graph, there is only one horizontal asymptote. This is the x-axis. Notice how the graph seems to be traveling closer and closer to it on both sides but it never seems to touch it.

y=0

Then, the vertical asymptotes are x=-3, x=0 (the y-axis) and x=2. Again, notice how these lines almost "split up" the graph.

I hope this helps!

Answer: 49^((1)/(2))=7

Step-by-step explanation:

Answer:

"What is 180 lbs to kg?" is the same as "What is 180 pounds to kilograms?" or "What is 180 pounds to kg?" or "What is 180 lbs to kilograms?" Here we will show you how to convert 180 lbs to kg.

There are 0.45359237 kilograms per pound and there are 2.204622622 pounds per kilogram. Therefore, you can get the answer to "180 lbs to kg?" two different ways. You can either divide 180 by 2.204622622 or multiply 180 by 0.45359237. Therefore, the answer is

Step-by-step explanation:

81.6466

y = \(Ce^(^3^a^(^t^a^n^(^x^)^ -^ ^x^)^)\), where C is a constant.

To find the solution of the given differential equation, we can start by separating variables and integrating both sides.

First, we rearrange the equation to have y' on one side: y' tan(x) = 3a y. Then, we separate the variables by dividing both sides by y and multiplying by dx to obtain (1/y)dy = 3a tan(x) dx.

Next, we integrate both sides with respect to their respective variables. The integral of (1/y)dy gives us ln|y| + C1, where C1 is the constant of integration. The integral of 3a tan(x) dx can be solved using the substitution u = tan(x), which gives us du = \(sec^2^(^x^)\) dx. Substituting back, the integral becomes ∫3a du = 3a u + C2, where C2 is another constant of integration.

Now, we can combine the results and simplify the equation. ln|y| + C1 = 3a tan(x) + C2. By rearranging the equation, we get ln|y| = 3a tan(x) + C3, where C3 = C2 - C1.

Finally, we can eliminate the absolute value by exponentiating both sides of the equation. This gives us |y| =\(e^(^3^a^ t^a^n^(^x^) ^+ ^C^3^)\), which can be further simplified to y = ± \(e^(^3^a ^ t^a^n^(^x^)^ +^ C^3^)\). Since we are given the initial condition y(π/3) = 3a, we substitute this value into the equation to determine the appropriate sign and find the constant C.

Therefore, the solution to the given differential equation with the initial condition is y = 3a \(e^(^3^a^(^t^a^n^(^x^) ^- ^x^)^)\).

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The code implementation of shell sort in C++ using the provided `city.h` header file and `cityArray[]`:

```cpp

#include "city.h"

City cityArray[] = {

   {"Tokyo", 38.98}, {"Delhi", 28.5}, {"Shanghai", 25.58}, {"São Paulo", 21.65},

   {"Mumbai", 21.04}, {"Mexico City", 20.99}, {"Beijing", 20.38}, {"Osaka", 19.28},

   {"Cairo", 18.77}, {"New York City", 18.6}, {"Dhaka", 18.24}, {"Karachi", 18},

   {"Buenos Aires", 15.59}, {"Istanbul", 15.29}, {"Kolkata", 14.85}, {"Manila", 14.7},

   {"Lagos", 14.37}, {"Rio de Janeiro", 14.31}, {"Tianjin", 13.4}, {"Kinshasa", 13.31},

   {"Guangzhou", 13.08}, {"Los Angeles", 12.82}, {"Moscow", 12.54}, {"Shenzhen", 12.44},

   {"Lahore", 11.13}

};

void shellSort(City arr[], int n) {

   for (int gap = n / 2; gap > 0; gap /= 2) {

       for (int i = gap; i < n; i += 1) {

           City temp = arr[i];

           int j;

           for (j = i; j >= gap && arr[j - gap].getPopulation() > temp.getPopulation(); j -= gap) {

               arr[j] = arr[j - gap];

           }

           arr[j] = temp;

       }

   }

}

int main() {

   int n = sizeof(cityArray) / sizeof(cityArray[0]);

   shellSort(cityArray, n);

   for (int i = 0; i < n; i++) {

       cityArray[i].print();

   }

   return 0;

}

```

Explanation:

The provided code demonstrates the implementation of the shell sort algorithm in C++. The `shellSort` function takes an array of `City` objects `arr[]` and its size `n` as parameters.

The outer `for` loop initializes the `gap` variable to `n/2`, representing the initial gap size for the first pass of shell sort. In each pass, the elements that are `gap` distance apart from each other are sorted. After each pass, the gap size is reduced by half until it reaches 0, indicating that the array is completely sorted.

The inner `for` loop iterates through the unsorted portion of the array, starting from the `gap` index and incrementing by 1. It performs an insertion sort on the sub-array by comparing and shifting elements that are greater than the key element (`temp`) to the right by `gap` distance. Finally, it inserts the key element into the correct position in the sub-array.

In the `main` function, the `shellSort` function is called to sort the `cityArray` based on the population of each city. After sorting, the sorted `cityArray` is printed using the `print` function defined in the `City` class.

This implementation demonstrates the shell sort algorithm's ability to sort the given array of `City` objects based on population in ascending order.

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There is a linear relationship between the number of absences and grade point average.

The total number of absences depend on the number of students enrolled in a class. Therefore, a measure independent of the number of students is needed. This leads to the introduction of the concept of normalized absences.

It is defined as: Number of Absences / (Number of Students x Number of Contact Hours).

A Final Grade is the installation of specific materials - such as screened topsoil - on top of a clay base called, "Rough Grade" that promotes proper drainage and flow of excess water away from existing structures.

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Answer:

345 feet

Step-by-step explanation:

If you don't know about Britton Hill, Florida, you're probably not a mountain climber, and you're definitely not a highpointer. At 345 feet above mean sea level, Britton Hill is Florida's highest natural point and the lowest "high point" in the United States.

the answer is : 135°

ok done. Thank to me :>

The area of an equilateral triangle with a 6-inch apothem is 187.06 square inches

To find the area (A) of an equilateral triangle with a 6-inch apothem, you can use the following formula:

A = (Perimeter × Apothem) / 2

First, find the side length (s) of the equilateral triangle using the Pythagorean theorem. Note that the apothem and the line to the vertex makes 30-60-90 triangles.

In a 30-60-90 triangle, the ratio of the side lengths is 1:√3:2, so:

Side length (s) / 2 = √3 * Apothem * 2 = √3 * 6 * 2 = 12√3 inches

Now calculate the perimeter of the equilateral triangle:

Perimeter = 3 * s = 3 * 12√3 = 36√3 inches

Finally, find the area using the formula:

A = (Perimeter × Apothem) / 2
A = (36√3 × 6) / 2
A = 187.06 square inches

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