What system of linear inequalities is shown in the graph?

Answer

ANGLE SIDE SIDE

Step-by-step explanation: Because you have an angle side side hope this helps

The line integral of $2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486 according to the given information.

To calculate the line integral $\int_C 2x^2 \mathrm{~d}y$, we need to parameterize the curve $C$ and express $x$ and $y$ in terms of the parameter $t$. The given curve is defined as $\mathbf{r}(t) = \langle 3t-3, 3t \rangle$, where $0 \leq t \leq 4$.

Differentiating $\mathbf{r}(t)$ with respect to $t$, we have $\mathbf{r}'(t) = \langle 3, 3 \rangle$. Integrating $2x^2$ with respect to $y$ along the curve $C$ gives us:

$\int_C 2x^2 \mathrm{~d}y = \int_0^4 2(3t-3)^2 (3 \mathrm{~d}t) = 2 \int_0^4 (27t^2 - 54t + 27) \mathrm{~d}t$.

Evaluating the integral, we get $\int_C 2x^2 \mathrm{~d}y = [9t^3 - 27t^2 + 27t]_0^4 = 486$.

Therefore, the line integral $\int_C 2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486.

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Answer:

63

Step-by-step explanation:

\((w - 8) \degree + (2w - 1) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ (w - 8 + 2w - 1) \degree = 180 \degree \\ \\ (3w - 9) \degree = 180 \degree \\ \\ 3w - 9 = 180 \\ \\ 3w = 180 + 9 \\ \\ 3w = 189 \\ \\ w = \frac{189}{3} \\ \\ w = 63\)

Answer

24 (x) 13= 312cm

Step-by-step explanation:

area of a parallelogram= area of a rectangle/ sqaure=

24 (x) 13= 312cm

(the 18 inches it there to confuse you some times)

The value of the given sine function is √3/2, so the correct option is 2nd.

Given that an function Sin (-5π/3) we need to evaluate the expression,

To evaluate the trigonometric function sine of the angle (-5π/3), we can use the periodicity of the sine function.

Since the sine function has a period of 2, the sine of any given angle is equal to the sine of that angle plus or minus any multiple of 2.

To find an equal angle inside the main range (between -π and π), we can add 2 to the angle (-5/3).

Once adding 2:

(-5π/3) + 2π = (-5π/3) + (6π/3) = π/3

Now we can evaluate the sine of π/3, which is a commonly known angle. The sine of π/3 is √3/2.

Therefore, sin(-5π/3) = sin(π/3) = √3/2.

Hence the correct option is √3/2

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Answer:

thanks for spreading the truth

Step-by-step explanation:

Answer:

Thank You!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

this will be the outter circle minus the inner circle for the area of the sidewalk

area of circle = \(\pi\)\(r^{2}\)

\(\pi\)\(11^{2}\) = 380.1327

\(\pi\)\(9^{2}\) = 254.469

380.1327 - 254.469 =125.6637062\(m^{2}\)

Answer:

Formula in factored form: 0= (5t+2)(t-5)

When the rocket will fall to the ground: 5 seconds

Step-by-step explanation:

We need to find when the rocket hits the ground given the quadratic formula.

What would be the height of the rocket when it hits the ground? The height would be 0 meters, where it touches the ground. Now set the formula equal to 0. We are solving for t, which is the time it will take in this context to hit the ground.

0= -5t^2+23t+10

What numbers multiply out to -50 and add to the middle term 23?

Those are factor pairs are 25, -2:    25-2= 23,   25*-2=-50

Now we can factor by grouping

0= -5t^2+25t-2t+10

0= (5t+2)(t-5) <--- take out GCF and simplify down

5t+2=0 , t-5=0  <---- Zero product property

Simplify and get t= -2/5, t=5

t= -2/5 is an extraneous solution. You cant have a negative time. If you were to plot this on a graphing calculator you would notice the graph hits the x-axis 2 times (2 roots/zeros). t=5 is the only reasonable root

Thus it will take 5 seconds for the rocket to fall toward the ground.

Answer:

\(\displaystyle five\:seconds\)

Step-by-step explanation:

Factour this trinomial. Now, as you can see, there is a negative inserted in front of the trinomial. If you are afraid of negatives, easily factour it out and begin the factorisation process:

\(\displaystyle -5t^2 + 23t + 10 \hookrightarrow 5t^2 - 23t - 10 \\ \\ [5t^2 - 25t] + [2t - 10] \\ 5t[t - 5]\:\:2[t - 5] \\ \\ [t - 5][5t + 2]\)

Set the factors equal to zero to determine the time:

\(\displaystyle 0 = [t - 5][5t + 2] \\ \\ -\frac{2}{5}, 5 = t\)

*Time is NEVER negative, therefore it will take five seconds for the rocket to hit the ground.

I am joyous to assist you at any time.

An annual payment is found approximately $617.34. The correct option is e.. $617.34.

To find the size of your payments, you can use the formula for calculating the equal installments on a loan.

First, calculate the annual payment by dividing the borrowed amount ($2,000) by the present value factor of an annuity due with 4 periods at a 9% interest rate.

Using a financial calculator or spreadsheet, the present value factor of an annuity due with 4 periods at 9% interest rate is 3.2403.

Dividing $2,000 by 3.2403 gives us an annual payment of approximately $617.34.
Therefore, the correct answer is e. $617.34.

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Answer:

It is B

Step-by-step explanation: I think

the dog that cared about the cat

Answer:

1) x = 2 and y = -2

2) x = 6 and y = 5

3) x = 2 and y = -4

Step-by-step explanation:

1) 3x + y = 4

since y = -x subtitute it in the equation

3x + (-x) = 4

3x - x = 4

2x = 4

x = 4\2

x = 2

y = -2

2) 4x - y = 19

since y = x - 1 subtitute it in the equation

4x - (x - 1) = 19

4x - x + 1 = 19

3x = 19 - 1

3x = 18

x = 18\3

x = 6

y = 6 - 1 = 5

3) y = 3x - 10

y - 3x = -10

since 2x + y = 0

thus y = -2x subtitute in equation

-2x - 3x = -10

-5x = -10

x = -10\-5

x = 2

y = -2 * 2 = -4

Answer: 27 and 36

Step-by-step explanation: also a trick on how to master your nines multiplication is bye adding one 10 and subtracting 1 so look at this 9,18,27,36,45,54,63,72,81,90, do you notice the pattern. Hope this helps

Answer:

Step-by-step explanation:

Hope this helps dude

Answer:

(2/5, 26/5)

Step-by-step explanation:

Answer:

they were on the 21-yard line

Step-by-step explanation:

Answer:

4-yard line

Step-by-step explanation:

i got this answer correct on my quiz so the other answer is wrong

Answer:

=[(2

2

)

3

×3

6

]×5

6

=2

6

×3

6

×5

6

=64×729×15625

=729000000

=3

6

×10

6

=30

6

sales representative or salesperson who acts as an intermediary between the producers of unique decorative glass items, wind chimes, and picture frames and the gift shop owners in Savannah.

She offers the convenience of allowing the store owners to order from her instead of directly from the individual producers she represents.

As a sales representative, Dolly's role involves building relationships with gift shop owners, showcasing the products she represents, and facilitating the ordering process. She may provide information about the products, handle inquiries, negotiate prices and terms, and ensure smooth transactions between the producers and the gift shops.

Dolly acts as a bridge between the producers and the retailers, streamlining the supply chain and making it easier for the gift shop owners to access a variety of unique decorative items from multiple producers through a single point of contact.

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The equation is formed and solved below.

What is an equation?

A mathematical equation is a calculation that uses the matching sign to represent the similarity of two expressions. A polynomial equation is the most prevalent kind of equation. An equation can be compared to a scale on which objects are weighed. When the two pans are filled with the same amount of anything (like grain), the scale will balance and the weights will be considered equal. To maintain the scale in balance, if any grain is taken out of one of the balance's pans, an equal amount must be taken out of the other pan. More broadly, if the identical operation is carried out on both sides of an equation, the equation remains in balance.

Lane ate = x marshmallows (let)

Chad ate = x + 5 marshmallows

Jeff ate = (x + 5) + 7 = x + 12 marshmallows

Then, the equation formed is

x + x + 5 + x + 12 = 254

The equation is solved as

3x + 17 = 254

or, 3x = 254 - 17

or, x = 237/3 = 79

Jeff ate = 79 + 12 = 91 marshmallows

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Answer:

A

Step-by-step explanation:

(f - g )(x)

= f(x) - g(x)

= 3x + 2 - (2x - 2) ← distribute parenthesis by - 1

= 3x + 2 - 2x + 2 ← collect like terms

= x + 4

The value of the function (f-g)(x) is x+4.

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

Given are two functions, f(x) = 3x+2 and g(x) = 2x-2, we need to find the value of (f-g)(x)

So,

(f-g)(x) = f(x) - g(x)

= 3x+2 - (2x-2)

= x+4

Hence, the value of the function (f-g)(x) is x+4.

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The probability that 4 red cards and 9 black cards are dealt is 0.0735.

Let E be the event that 4 red cards and 9 black cards are dealt.

According to the given question.

Number of card hand that is dealt from a well-shuffled standard 52- card deck is 13

Total number of red cards in a well shuffled card deck = 26

Total number of black cards in a well shuffled card = 26

Now, the number of ways to dealt 13 cards = \(^{52} C_{13}\)

Number of ways to dealt 9 black cards = \(^{26}C_{9}\)

And, the number of ways to dealt 4 red cards = \(^{26} C_{4}\)

As, we know that the probability of an event is calculated by taking the ratio of the favorable outcomes to the total number of outcomes.

Therefore, the the probability that 4 red cards and 9 black cards are dealt is given by

P(E) = \(\frac{^{26}C_{9}\times \ ^{26}C_{4} }{^{52}C_{13} }\)

⇒ P(E) = \(\frac{\frac{26!26!}{9!4!17!22!} }{\frac{52!}{13!39!} }\)

⇒ P(E) = 0.0735

Hence, the probability that 4 red cards and 9 black cards are dealt is 0.0735.

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Question 9

(7y - 3z)^2

(7y - 3z)(7y - 3z)

We now use the FOIL method.

49y^2 -42yz + 9z^2

Question 10

(3b + 2)(3b - 2)

Use FOIL.

9b^2 - 4

Question 11

(6x + 5)(3x + 7)

Use FOIL.

18x^2 + 42x + 15x + 35

18x^2 + 57x + 35

I just did your homework. What's going to happen when I am not sitting next to you in class? Think about it.

Here is a possible program that meets the requirements: import java.util.Scanne imporjava.util.InputMismatchException; public class RestaurantOccupancy {
  public static void main(String[] args) {
     Scanner input = new Scanner(System.in);
     int occupancy = 0;
 

The program starts by importing the Scanner and InputMismatchException classes from the java.util package.

In the main method, we declare a Scanner object named input and an integer variable named occupancy initialized to 0.

The program enters a while loop that continues as long as the occupancy is less than 10. Inside the loop, we prompt the user to enter the number of people entering or leaving the restaurant, read the input as an integer using input.nextInt(), and store it in a variable named delta.

We then add delta to the occupancy variable to update the current occupancy, and print it to the console using System.out.println(). If an InputMismatchException is thrown (i.e., the user enters a non-integer value), we catch the exception, read the next token as a string using input.next(), and print an error message to the console.

Once the occupancy reaches or exceeds 10, the while loop exits, and we print a message indicating that the occupancy limit has been reached and the program is exiting.
Here is a step-by-step explanation for a program that meets the described requirements:

1. Import the necessary libraries:
```java
import java.util.Scanner;
import java.util.InputMismatchException;
```

2. Create a class and the main method:
```java
public class RestaurantOccupancy {
   public static void main(String[] args) {
```

3. Initialize the required variables and create a Scanner object for reading input:
```java
       int occupants = 0;
       int change;
       Scanner input = new Scanner(System.in);
```

4. Create a loop that continues until the number of occupants equals or exceeds 10:
```java
       while (occupants < 10) {
```

5. Use a try-catch block to handle the `InputMismatchException` exception:
```java
           try {
               change = input.nextInt();
               occupants += change;
               System.out.println("Number of people in the restaurant: " + occupants);
           } catch (InputMismatchException e) {
               input.next(); // Discard the invalid input
           }
```

6. Close the while loop, Scanner object, and the main method:
```java
       }
       input.close();
   }
}
```


       while (occupants < 10) {
           try {
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There are infinitely many possible Jordan normal forms for a non-diagonalizable 5x5 complex matrix.

Given that A is a 5x5 complex matrix, the possible characteristic polynomial will have degree 5, and the minimal polynomial will divide the characteristic polynomial and have degree at most 5.

If A is not diagonalizable, then there will be at least one Jordan block in the Jordan normal form of A. The size of the largest Jordan block will be equal to the algebraic multiplicity of the corresponding eigenvalue. Since the characteristic polynomial has degree 5, there can be at most 5 Jordan blocks, and their sizes must sum to 5.

Therefore, the possible Jordan normal forms for A are:

A single 5x5 Jordan block

Two Jordan blocks, one of size 4 and one of size 1

Two Jordan blocks, one of size 3 and one of size 2

Three Jordan blocks, one of size 3 and two of size 1

Three Jordan blocks, one of size 2 and two of size 1

Four Jordan blocks, each of size 1

The minimal polynomial will be the product of linear factors corresponding to the distinct eigenvalues of A, and each factor will have multiplicity equal to the size of the largest Jordan block corresponding to that eigenvalue.

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The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.

According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.

The area of the acute triangle can be calculated by the formula:

         area of acute triangle = (1/2) × b × h

         b = base, and

         h = height

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Answer:

ms girll i think you multiply

Answer:

3. 147 \(ft^{3}\)  4. \(\frac{160}{3} \pi\) \(ft^{3}\)

Step-by-step explanation:

3. Volume of a square pyramid = \((base.edge.length)^{2}\) × \(\frac{height}{3}\)

Variables:

V = volume

x = base edge length

h = height

V = \(x^{2}\)  × \(\frac{h}{3}\)

x = 7 ft

h = 9 ft

Plug the values in the equation:

V = \(7^{2}\) × \(\frac{9}{3}\)

V = 49 × 3

V = 147 \(ft^{3}\)

4. Volume of cone = \(\pi r^{2} \frac{h}{3}\)

Variables:

V = volume

r = radius

h = height

V = \(\pi r^{2} \frac{h}{3}\)

r = 8ft /2 = 4 ft (radius is half of the diameter)

h = 10 ft

V =  \(\pi 4^{2} \frac{10}{3}\)

V = \(\pi\) × 16 × \(\frac{10}{3}\)

V = \(\frac{160}{3} \pi\) \(ft^{3}\)

Answer:

Part A The vertex domain and range of the function g(x) = \x-7\ is (7,0),(-∞,∞) and [0,∞)

Part B The function f(x) =lxl is vertically shifted by 2 units to get the function h (x) = lxl { 2. The y - coordinate of the vertex is shifted by 2

To solve for x and y, we can use either substitution or elimination method. Let's use the elimination method by multiplying the second equation by 8 and subtracting it from the first equation.

1. Let x be the price of one senior citizen ticket and y be the price of one student ticket. We can set up two equations based on the information given:

4x + 5y = 102

7x + 5y = 126

We can solve for x and y using elimination or substitution. Here is one way to do it using elimination:

Multiply the first equation by -1 to get:

-4x - 5y = -102

Add this equation to the second equation to eliminate y:

3x = 24

Solve for x:

x = 8

Substitute x = 8 into one of the original equations to solve for y:

4(8) + 5y = 102

32 + 5y = 102

5y = 70

y = 14

Therefore, the price of one senior citizen ticket is S8 and the price of one student ticket is S14.

2. Let x be the speed of the plane in still air and y be the speed of the wind. We can set up two equations based on the information given:

x + y = 183

x - y = 141

We can solve for x and y using elimination or substitution. Here is one way to do it using addition:

Add the two equations to eliminate y:

2x = 324

Solve for x:

x = 162

Substitute x = 162 into one of the original equations to solve for y:

162 + y = 183

y = 21

Therefore, the speed of the plane in still air is 162 km/h and the speed of the wind is 21 km/h.

3. Let x be the cost of one apple pie and y be the cost of one lemon meringue pie. We can set up two equations based on the information given:

6x + 4y = 580

6x + 5y = 94

We can solve for x and y using elimination or substitution. Here is one way to do it using subtraction:

Subtract the second equation from the first equation to eliminate x:

y = 116

Substitute y = 116 into one of the original equations to solve for x:

\(6x + 4(116) = 580\)

6x = 16

\(x = 8/3 or 2.67\)

Therefore, the cost of one apple pie is S2.67 and the cost of one lemon meringue pie is S116.

4. Let's assume the price of one senior citizen ticket is "S" and the price of one child ticket is "C".

From the given information, we can form two equations:

\(3S + 3C = 569\)  ...(1) (sales on the first day)

\(5S + 3C = 981\) ...(2) (sales on the second day)

To solve for S and C, we can use any method of solving linear equations (substitution, elimination, or matrix method). Here, we will use the substitution method.

From equation (1), we can express C in terms of S:

C = (569 - 3S)/3

Substituting this value of C in equation (2), we get:

\(5S + 3[(569 - 3S)/3] = 981\)

Solving for S:

\(5S + 569 - 9S = 2943\)

\(-4S = -2374\)

\(S = 593.5\)

Therefore, the price of one senior citizen ticket is  \(S593.5\)  .

To find the price of one child ticket, we can substitute this value of S in equation (1) and solve for C:

\(3(593.5) + 3C = 569\)

\(3C = -1518.5\)

\(C = -506\)

This doesn't make sense as the price of a ticket cannot be negative. It's possible that there was an error in the given information or in our calculations

5. Let the cost of one package of chocolate chip cookie dough be x, and the cost of one package of gingerbread cookie dough be y.

From the information given in the problem, we can set up the following system of equations:

\(8x + 12y = 5364\) (Ming's sales)

\(x + 4y = 893\) (Carlos's sales)

To solve for x and y, we can use either substitution or elimination method. Let's use the elimination method by multiplying the second equation by 8 and subtracting it from the first equation:

\(8x + 12y = 5364-8x - 32y = -7144-20y = -1780\)

y = 89

Now we can substitute y = 89 into either equation to solve for x. Let's use the second equation:

\(x + 4(89) = 893\)

\(x = 529\)

Therefore, the cost of one package of chocolate chip cookie dough is $529, and the cost of one package of gingerbread cookie dough is $89.

6. Let the price of a senior citizen ticket be x, and the price of a child ticket be y.

From the information given in the problem, we can set up the following system of equations:

 \(3x + 5y = 570\) (first day sales)

\(12x + 12y = 2160\) (second day sales)

To solve for x and y, we can use either substitution or elimination method. Let's use the elimination method by multiplying the first equation by 4 and subtracting it from the second equation:

\(12x + 12y = 2160\)

\(-12x - 20y = -2280\)

\(-8y = -120\)

y = 15

Now we can substitute y = 15 into either equation to solve for x. Let's use the first equation:

\(3x + 5(15) = 570\)

\(3x = 495\)

\(x = 165\)

Therefore, the price of a senior citizen ticket is $165, and the price of a child ticket is $15.

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Answer: You could assume that X=8 and y=0

Step-by-step explanation:

Answer:

Solutions below.

Step-by-step explanation:

This Question involves the concept of intercepts of a graph.

Intercepts of a graph are namely the x-intercept and y-intercept.

x-intercept is when y = 0. Example: (3,0)

y-intercept is when x = 0. Example: (0,9)

We are given the equation: x + 4y = 8

To find x-intercept, we can substitute y = 0 into the equation to obtain the value of x.

x + 4(0) = 8

x + 0 = 8

x = 8

Coordinates: (8, 0)

To fins y-intercept, we can substitute x = 0 into the equation to obtain the value of y.

0 + 4y = 8

4y = 8

y = 8 ÷ 4

y = 2

Coordinates: (0, 2)