The distance between the points(-3, -5) and (2,7) on the coordinate plane is given as 5^2+ t^2. what us the value of t​

These two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

The correct system of equations to model this scenario is:

x + y = 414 (Equation 1)

9x + 12y = 3780 (Equation 2)

In this system, x represents the number of children and y represents the number of adults who played that day.

Equation 1 represents the total number of customers, which is 414. It states that the sum of the number of children (x) and the number of adults (y) is equal to 414.

Equation 2 represents the total cost of the games played. Since the cost for a child's game is $9 and the cost for an adult's game is $12, we multiply the number of children (x) by $9 and the number of adults (y) by $12. The equation states that the total cost, which is $3780, is equal to the sum of these individual costs.

Together, these two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

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Answer:

1:3 5/9

18/18=1 64/18=3 5/9

Answer:

7 9/2 -6

Step-by-step explanation:

First you divide the bottom row by 2 then add the top row.

The matrix results from R₁ - 1/2R₂ transformation as

\(A=\begin{bmatrix} 7 & 9/2 & -6\\\end{bmatrix}\)

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions

We have been given that Xavier performs the elementary row operation represented by R₁ - 1/2R₂ on matrix A.

We have to determine matrix results from R₁ - 1/2R₂ transformation.

\(A=\begin{bmatrix}4 & 3 & 0\\-6& -3 & 12\\\end{bmatrix}\)

Apply the elementary row operation represented by R₁ - 1/2R₂ on matrix A.

\(A=\begin{bmatrix} 7 & 9/2 & -6\\\end{bmatrix}\)

Hence, the matrix results from R₁ - 1/2R₂ transformation as

\(A=\begin{bmatrix} 7 & 9/2 & -6\\\end{bmatrix}\)

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Answer:

CD = 15

Step-by-step explanation:

We are given two quadrilaterals: CDEF and GIJH.

We know that CD = 3x - 6, and GI = x + 8.

We want to find the length of CD.

Notice how CD and GI both have one tick mark on them.
This indicates that these two are congruent, meaning that they have the same length.

Because of that, CD = GI.

If we substitute 3x - 6 for CD and x + 8 for GI, we get:

3x - 6 = x + 8

Now, we can solve this like a regular equation.

Add 6 to both sides.

3x - 6 = x + 8

    +6       +6

_________________

3x = x + 14

Subtract x from both sides.

3x = x + 14

-x    -x

_____________-

2x = 14

Divide both sides by 2.

2x = 14

÷2    ÷2

____________

x = 7

We found the value of x.

Now, substitute 7 as x in 3x-6 (the length of CD).

CD = 3x - 6 = 3(7) - 6 = 21 - 6 = 15

Therefore, CD = 15.

The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

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Answer:

\(y = \frac{5}{2}x + 8\)

Step-by-step explanation:

(-2 , 3 ) ; (0 , 8)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

          \(= \frac{8-3}{0-[-2]}\\\\=\frac{5}{0+2}\\\\=\frac{5}{2}\)

   m = 5/2 ; (0 , 8)

Equation: y -y1 = m(x -x1)

               \(y - 8 =\frac{5}{2}(x - 0)\\\\y - 8 =\frac{5}{2}x\\y = \frac{5}{2}x + 8\)

Step 1. We start by looking at the graph of the function:

The graph is:

Step 2. The horizontal axis is the x-axis, and to reflect the original graph (the graph from step 1) over the x-axis, we add a negative sign next to the x^2:

We can look at the resulting graph to confirm that the graph has now been reflected over the x-axis:

Step 3. We have reflected the graph over the x-axis but we still need to stretch it by a factor of 3.

We can stretch the graph of a quadratic function by multiplying the squared term by the factor, in this case by 3.

The resulting equation is:

And the graph will finally look as follows:

Answer:

Answer:

-131

Step-by-step explanation:

By dividing by 2, we find that x = 23

Plugging this into the equation we can find

7-6x=7-6(23)=-131

Answer:

-131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2x = 46

Step 2: Solve for x

Step 3: Define

7 - 6x

Step 4: Evaluate

The option that represents shapes of the sampling distribution of p hat  is:

c. Because n (1 minus p) = 20 (1 minus 0.87) = 2.6 less-than 10 , the sampling distribution of p hat is not approximately Normal. Because p = 0.87 is closer to 1 than 0, the sampling distribution of p hat is skewed to the left.

Normal distribution is defined as the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

Because the requirement for normal is greater than 10, n×p is greater than 10 and nx(1-p) is also greater than 10.

This situation is abnormal because it is not valid. If p is close to 1 in a normal graph, then p is left skewed.

Thus, the option third is correct because nx(1-p)=2.6 less than equal to 10 then the sampling distribution  is not approximate normal because p=0.87 is closer to 1 than zero. Sampling distribution  is skewed to the left.

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Answer:

(f o g)(6)=199

(g o f)(6)=845

Step-by-step explanation:

Answer:

I think the answer is

t=r/r-3

r=t(r-3)

r=tr-t3

Answer:

16649

Step-by-step explanation

Add up the Total amount of guests from 2010 to 2013

2119+3391+4785+6354

Step-by-step explanation:

2118

3391

4785

6354+

_____

16649

Answer:

As an autistic dyslexic person, i can confirm your question is held in a silly way as possible

Answer:

The area of Alison's pizza would be 30 in.

first 7/8 as a decimal then you divide 7 and 8 making it o.875 then you already know 98.5 is bigger because of the whole number and 0,98 is bigger than 0.875

Step-by-step explanation:

Answer:

7/8 = 87.5%

0.98 = 98%

98.5%

answer is

7/8,0.98,98.5%

Answer: Acute ask goigle

The domain of function f(x) is given as follows:

{x | 1 ≤ x < 5}.

The values of x of the function given at the end of the answer are as follows:

Hence the domain is given as follows:

{x | 1 ≤ x < 5}.

The function is given by the image presented at the end of the answer.

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Answer:

A - {x | 1 < x < 5}

Step-by-step explanation:

took the Quiz

The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Answer: 0.0811

Is what I got

Answer:

0.0811

Step-by-step explanation:

Answer:

D. Hyperbola

Step-by-step explanation:

I put B but it was wrong

D is the right answer

The given equation is represent a ''Hyperbola''.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ 9x² - 5x - 3y² - 2y + 4 = 0

Now, We know that;

The standard form of the equation is,

⇒ ax² + by² + 2gx + 2fy + 2hxy + c = 0

For Hyperbola, The condition is,

⇒ h² > ab

For Ellipse ,  The condition is,

⇒ h² < ab

Here, We have;

⇒ h = 0

⇒ a = 9

⇒ b = - 3

⇒ ab = 9 x - 3 = - 27

⇒ h = 0

Hence, We get;

⇒ 0 > - 27

⇒ h² > ab

Thus, This equation is represent a ''Hyperbola''.

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As per the matrix, the three linearly independent eigenvectors are 0, 0.05 and 1.

Now let's consider the given matrix A. We are asked to find three linearly independent eigenvectors and their corresponding eigenvalues. Linearly independent eigenvectors are important because they allow us to represent any vector in the space as a linear combination of these eigenvectors.

The first eigenvector v1 is -1, and it corresponds to the eigenvalue λ1 = 0. To check if this is indeed an eigenvector, we multiply it by A and check if the resulting vector is a scalar multiple of v1. In this case, Av1 = 0v1, which means that v1 is indeed an eigenvector with eigenvalue λ1 = 0.

The second eigenvector v2 is also -1, and it corresponds to the eigenvalue λ2 = 0. Again, we multiply it by A and check if the resulting vector is a scalar multiple of v2. Av2 = 0v2, which means that v2 is an eigenvector with eigenvalue λ2 = 0.

The third eigenvector v3 is 0, and it corresponds to the eigenvalue λ3 = 1. We repeat the same process and check if Av3 is a scalar multiple of v3. In this case, Av3 = 0.05v3, which satisfies the given condition of having all entries with absolute value smaller than 0.05. Therefore, v3 is an eigenvector with eigenvalue λ3 = 1.

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Answer:

4/5, 3/6, 5/12

Step-by-step explanation:

4/5 = 0.8

3/6 = 0.5

5/12 = 0.4166666667

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

Answer:

65

Step-by-step explanation:

Answer:

there are 2 full barrels and one that is almost full so intotal there are 3 barrels.

Step-by-step explanation:

Her next step in obtaining the area of the triangle is replacing the numeric values of h and y into the area formula.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:

A = 0.5bh.

The dimensions for this problem are given as follows:

Hence the formula is:

A = 0.5yh.

Hence the actual values of y and h must be inserted into the formula to obtain the area of the triangle.

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Answer:

Step-by-step explanation:

Hello,

c= -4 * 2 = -8 as

\(x^2+bx+c=(x+4)(x-2)=x^2+2x-8\)

with the quadratic formula

\(x_1=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\)

And

\(x_1x_2=\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{c}{a}\)

thanks

The probability of both people being Democrats is 0.243, and the probability of one person being a Republican and one person being a Democrat is 0.486.

To find the probability of each of the following, we can use the formula for the probability of selecting a group of items from a larger group with replacement:

P(A and B) = P(A) * P(B)

Where P(A) is the probability of selecting the first item, and P(B) is the probability of selecting the second item.

Both people are Democrats:

There are 16 Democrats and 31 total people, so the probability of selecting a Democrat is 16/31. Therefore, the probability of selecting two Democrats is (16/31) * (16/31) = 0.243.

One person is a Republican and one person is a Democrat:

There are 15 Republicans and 31 total people, so the probability of selecting a Republican is 15/31. There are 16 Democrats and 31 total people, so the probability of selecting a Democrat is 16/31. Therefore, the probability of selecting one Republican and one Democrat is (15/31) * (16/31) = 0.486.

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Answer:

The correct answer is D

hope that will help