Solve the equation \(\frac{x+3}{4} =8\)

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's write the equation of line in slope point form ~

\(\qquad \sf  \dashrightarrow \:y - y1 = m(x - x1)\)

\(\qquad \sf  \dashrightarrow \:y -2 = 3(x -1)\)

\(\qquad \sf  \dashrightarrow \:y -2 = 3x - 3\)

\(\qquad \sf  \dashrightarrow \:y = 3x -1\)

Now, let's use this equation of line to plot two points ~

Now, plot these points on graph ~

The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

To know more about models visit:

brainly.com/question/22591166

#SPJ9

Answer:

Deep Space Composition and Deep Focus Composition are techniques used in filmmaking to create a sense of depth in a scene. To achieve this, significant visual and narrative information is placed on two or more of the planes of depth.

Step-by-step explanation:

1. Identify the foreground, middle ground, and background planes in the scene.

2. Place significant visual and narrative elements on at least two of these planes. This can include characters, objects, or other elements that are relevant to the story.

3. Use a deep focus technique, such as a smaller aperture or longer focal length, to ensure that all planes are in sharp focus.

4. Frame the scene in a way that emphasizes the depth, using elements like converging lines or overlapping objects.

5. Adjust the lighting and color to help distinguish the different planes and draw attention to the depth of the scene.

By using these techniques, you can create a sense of depth and space in your film, making it visually appealing and engaging for your audience.

Learn more about deep focus composition,

https://brainly.com/question/31086090

#SPJ11

The Princeton Playhouse sold 60 adult tickets and 90 child tickets were sold if the playhouse sold $2940 worth of tickets.

Let's solve the issue with an equation method.

Let a represent the quantity of adult tickets sold and c represent the quantity of kid tickets sold. As a result of our knowledge that 150 passes were sold altogether, we have:

a + c = 150

We also know that $2940 in total was raised from the selling of tickets. One adult ticket costs $20.50, while one minor ticket costs $15.50. These amounts are the totals. Consequently, we have:

20.50*a + 15.50*c = 2940

Our system of two equations now has two factors. We have two options for resolving it: substitution and removal. Here, we'll employ the replacement approach.

The first solution for a can be solved as follows:

a = 150 - c

By replacing an in the second equation with this formula, we obtain:

20.50(150 - c) + 15.50*c = 2940

By enlarging and condensing, we obtain:

3075 - 5*a = 2940

Restoring for a results in:

3075 - 5(150 - c) = 2940

By enlarging and condensing, we obtain:

c = 90

As a result, 90 children's tickets were distributed. By applying the first equation, we can determine the quantity of adult passes sold:

a + c = 150

a + 90 = 150

a = 60

Consequently, 60 adult tickets were distributed.

In conclusion, the Princeton Playhouse sold 60 seats for adults and 90 for children.

Learn more about tickets here:

https://brainly.com/question/14001767

#SPJ4

Answer:

60%

Step-by-step explanation:

Step-by-step explanation:

here, 4 days = 20 miles

so, 1 day = 5 miles

hence, x miles = 5x miles

Answer: The answer is x = 9.

Step-by-step explanation:

Answer:

\(d=2\sqrt{17}\approx8.2462\)

Step-by-step explanation:

To find the distance between two points, use the distance formula.

The distance formula is:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)

Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:

\(d=\sqrt{(5-3)^2+(4--4)^2\)

Simplify:

\(d=\sqrt{(2)^2+(8)^2\)

Square:

\(d=\sqrt{4+64}\)

Add:

\(d=\sqrt{68}\)

Simplify:

\(d=\sqrt{4\cdot17}=\sqrt4\cdot\sqrt{17}\)

Simplify:

\(d=2\sqrt{17}\approx8.2462\)

Answer:

\(\boxed{2\sqrt{17}}\)

Step-by-step explanation:

To find the distance between two points, we use the distance formula. The distance formula is:

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

Therefore, we can label our coordinate pairs and solve for d.

Because we are given two coordinate pairs, we will follow the standard naming system for coordinate pairs. This is \((x_{1}, y_{1}) \text \: {and} \: (x_{2}, y_{2})\). Therefore, we can implement the distance formula and solve.

\(\sqrt{(5-3)^{2}+(4-(-4))^{2}}\\\\\sqrt{(2)^{2}+(8)^{2}}\\\\\sqrt{4 + 64} \\\\\sqrt{68} \\\\\boxed{2\sqrt{17} }\)

===================================================

Explanation:

Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.

The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.

The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207

Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.

The probability density function (PDF) of a chi-squared distribution is used to describe the probability of a certain outcome occurring when a continuous random variable is sampled. The PDF is a mathematical formula that gives the probability of a given value of the random variable, x, occurring. It is typically expressed as f(x).

The chi-squared distribution is a type of continuous probability distribution that is used to describe the sum of the squares of multiple normally distributed random variables. Its PDF is represented as:

f(x) = 1/2k/2π-1/2 * xk/2-1 * e-x/2

Where x is the value of the chi-squared random variable and k is the number of degrees of freedom.

The PDF of the chi-squared distribution is used to calculate the probability of a particular outcome. It is used in hypothesis testing to determine the probability that a given set of data fits a certain distribution. It is also used to estimate the confidence intervals of parameters in various models.

The chi-squared distribution is widely used in statistical applications, such as testing for goodness of fit, tests for independence, tests for homogeneity, and tests for normality. It is also used in the analysis of variance, analysis of covariance, regression analysis, and other advanced statistical techniques.

See more about density function at: https://brainly.com/question/15714810

#SPJ11

The type of data collected is Quantitative Data.

Quantitative data is a type of numerical data that is collected through methods such as measurements, surveys, or experiments. It involves numerical values that can be measured and analyzed using statistical techniques. This data can be further classified as discrete or continuous.

Discrete quantitative data consists of countable values that can be expressed in whole numbers, such as the number of people in a room, the number of cars in a parking lot, or the number of books in a library.

Continuous quantitative data consists of measurements that can take on any value within a range, such as weight, height, temperature, or time. Continuous data can be further divided into interval and ratio data, depending on the level of measurement and the presence or absence of a true zero point.

The data collected by the usher, which is the number of unoccupied seats in the movie theater, is a type of quantitative data. It involves numerical values that can be measured and analyzed mathematically.

#Complete Question - an usher records the number of occupied seats in a movie theater during each viewing of a film. identify the type of data collected.

(a) Quantitative data

(b) Qualitative data

To know more about quantitative data, visit:

brainly.com/question/14810759

#SPJ1

Here are the solutions to each problem, which include the center and radius for each circle:7. Center: (6, -3); Radius: 6.9. Center: (-7, 10); Radius: 13.11. Center: (1, -2); Radius: 1/2.8. Center: (0, 9); Radius: 3/2.10. Center: (7/2, 3/2); Radius: 5/2.12. Center: (2, 0); Radius: 1.

The solution is given as follows;7. x² - 12x + y² + 6y = - 9.

We start by grouping the x and y terms separately, then completing the square by adding half of the coefficient of the respective variable and squaring the result. x² - 12x + y² + 6y = - 9(x² - 12x + __) + (y² + 6y + __) = - 9 + __ + __

Now, we'll fill in the blanks in the parentheses so that the trinomials are perfect squares: (x² - 12x + 36) + (y² + 6y + 9) = - 9 + 36 + 9.

This simplifies to: (x - 6)² + (y + 3)² = 36.

The center of the circle is (6, −3), and its radius is 6.9. x² + y² + 14x - 20y - 20 = 0.

First, we group the x terms and the y terms separately:x² + 14x + y² - 20y = 20.

Now, we'll complete the square in both x and y. x² + 14x + y² - 20y = 20(x² + 14x + __) + (y² - 20y + __) = 20 + __ + __.

We'll fill in the blanks so that the trinomials are perfect squares.

To find the terms to add, we take half of the coefficient of the variable and square it. (x² + 14x + 49) + (y² - 20y + 100) = 20 + 49 + 100

Simplifying, we get (x + 7)² + (y - 10)² = 169.

The center of the circle is (-7, 10), and its radius is 13.x - 2x + y + 3/2y = -1

We first rearrange the terms. x - 2x + y + 3/2y = -1-x - 1/2y = -1

We then complete the square in x and y as follows. x - 2x + y + 3/2y = -1(x - 1) - (1/2)(y + 2) = -1/2(x - 1)² - 1/4(y + 2)² = 1/2

The center of the circle is (1, -2) and its radius is 1/2.8. - 3x² - 3y² + 27y + 61 = 0

We rearrange and group the terms. - 3x² - 3y² + 27y = -61

We then complete the square. - 3x² - 3(y² - 9y + 81/4) + 27(81/4) = -61 - 3(81/4)(x² + (y - 9/2)² = 405/4

The center of the circle is (0, 9) and its radius is 3/2.10. x² + y² - 7x - 3y - 1 = 0

We rearrange and group the terms. x² - 7x + y² - 3y = 1

We then complete the square. x² - 7x + 49/4 + y² - 3y + 9/4 = 1 + 49/4 + 9/4(x - 7/2)² + (y - 3/2)² = 25/4

The center of the circle is (7/2, 3/2), and its radius is 5/2.12. 4x² - 16x + 4y² + 16 = 0

We rearrange and group the terms. 4x² - 16x + 4y² = -16

We then complete the square. 4(x² - 4x + 4) + 4y² = 0(x - 2)² + y² = 1

The center of the circle is (2, 0), and its radius is 1.

Completing the square is a method used to turn quadratic expressions in standard form into perfect squares. It’s often used to find the center and radius of circles.

Here are the solutions to each problem, which include the center and radius for each circle:7. Center: (6, -3); Radius: 6.9. Center: (-7, 10); Radius: 13.11. Center: (1, -2); Radius: 1/2.8. Center: (0, 9); Radius: 3/2.10. Center: (7/2, 3/2); Radius: 5/2.12. Center: (2, 0); Radius: 1.

know more about quadratic expressions

https://brainly.com/question/10025464

#SPJ11

Answer:

Hello,

Step-by-step explanation:

Since 4u²+8u=4u(u+2)

Zeroes ={0,-2}

Coefficients={4,8}

But i don't know the relationship.

The middle school will host a Talent show.

The goal of the tickets sale is to earn $500

To reach this goal Ms G has to sell a determined number of tickets.

This means that the earnings depend directly on the number of tickets sold.

So the independent/ explanatory variable is the number of tickets sold, and the dependent/ response variable is the money earned

x → Tickets sold

y → Money earned

Answer:

I would think the answer is 0

Step-by-step explanation:

this is a sort of division and any number divided by itself is always 0

The FSA can be defined as follows:

Q: set of states {q0, q1, q2, q3}

∑: set of input symbols {0, 1}

q0: initial state

F: set of final states {q1, q2, q3}

δ: transition function

δ(q0, 0) = q0

δ(q0, 1) = q1

δ(q1, 0) = q2

δ(q1, 1) = q1

δ(q2, 0) = q3

δ(q2, 1) = q1

δ(q3, 0) = q3

δ(q3, 1) = q3

The FSA (Finite State Automaton) that recognizes binary strings with two or more Os anywhere in the string can be constructed using four states: q0, q1, q2, and q3. The initial state is q0 and the set of final states is {q1, q2, q3}. At state q0, the machine reads input symbol 0 and remains in state q0, while reading input symbol 1 transition to state q1.

At state q1, the machine reads input symbol 0 and transitions to state q2, while reading input symbol 1 remains in state q1. At state q2, the machine reads input symbol 0 and transitions to state q3, while reading input symbol 1 transition to state q1.

At state q3, the machine reads either input symbol 0 or 1 and remains in state q3. If the machine reaches any of the final states, it accepts the input string.

For more questions like Function click the link below:

https://brainly.com/question/21145944

#SPJ11

The Answer will be C) 2,826 square feet

To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.

To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.

Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.

Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).

However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.

Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.

So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.

To learn more about probability, click here:

brainly.com/question/30034780

#SPJ11

Answer:

26

Step-by-step explanation:i used a caluculator

Answer:

The selection of the schools is done by random sampling, the remaining schools are considered as the control and stratified sampling for the selection of students for analysis is considered

Step-by-step explanation:

Based on the scenario, the following key highlights are presented:

This indicates that the selection of the schools is done by random sampling, the remaining schools are considered as the control and stratified sampling for the selection of students for analysis is considered.

Answer:

16x^4

Step-by-step explanation:

Answer:16x

Step-by-step explanation:

if the volume is known, you can calculate the radius using the formula and the given values and it is =1.7853

To find the radius (r) of a right cylinder with a given height (h) of 10 and an unknown volume (V), additional information is needed to solve the problem. Without knowing the value of the volume, it is not possible to determine the exact value of the radius. The volume of a right cylinder is calculated using the formula V = \(\pi r^{2h}\), where π is a constant value approximately equal to 3.14159.

However, if you have the value of the volume (V), you can rearrange the formula to solve for the radius (r). For example, if the volume is given as V = 100 cubic units, you can use the formula V = πr^2h and substitute the known values to find the radius. Rearranging the formula, we get r = √(V / (πh)), where √ denotes the square root.

By plugging in the values of V = 100 and h = 10 into the formula, we can calculate the radius as r = √(100 / (π × 10)). Simplifying further, r ≈ √(10 / π) ≈ √(10 / 3.14159) ≈ √(3.1831) ≈ 1.7853

learn more about volume here:

https://brainly.com/question/28058531

#SPJ11

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

To reach your fundraising goal of $75, you can sell pencils for $0.50 and bracelets for $1.00.

1. Calculate the total amount of money needed to reach the goal:
  Goal amount = $75

2. Determine the number of pencils and bracelets you need to sell to reach the goal:
  Let's assume you sell x number of pencils and y number of bracelets.

  The amount raised from selling pencils = x * $0.50
  The amount raised from selling bracelets = y * $1.00

  The total amount raised from both items should be equal to the goal amount:
  x * $0.50 + y * $1.00 = $75

3. Simplify the equation:
  0.50x + 1.00y = 75

4. Solve for one variable in terms of the other:
  Let's solve for x in terms of y:
  0.50x = 75 - 1.00y
  x = (75 - 1.00y) / 0.50

5. Substitute the value of x into the equation:
  (75 - 1.00y) / 0.50 * 0.50 + y * $1.00 = $75
  75 - 2y + y = 75
  -y = 0
  y = 0

6. Find the value of x:
  x = (75 - 1.00 * 0) / 0.50
  x = 75 / 0.50
  x = 150

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

To know more about fundraising goal visit:

https://brainly.com/question/28324495

#SPJ11

Yes, the series converges and the value is 1/41.

We can use the ratio test to determine the convergence of the series:

\(lim\) n→∞ |(5(n+1) / 210(n+1)) / (5n / 210n)| =\(lim\) n→∞ |5/(210(1 + 1/n))| =5/210 < 1

Since the limit is less than 1, the series converges by the ratio test.

To determine its value, we can use the formula for the sum of a geometric series:

S = a/(1-r)

where S is the sum, a is the first term, and r is the common ratio.

In this case, a = 5/210 and r = 5/210, so

S = (5/210)/(1-5/210) = (5/210)/(205/210) = 5/205 = 1/41

Therefore, the series converges to 1/41. Answer: converges; value if convergent: 1/41

Learn more about convergence

brainly.com/question/15415793

#SPJ11