a theater holds a total of 2 013 chairs. 197 chairs in the VIP section. How many chairs are not i the vip section

Answer:

(-5,1)

Step-by-step explanation:

5 units left is x axis and that is going to the negative side, down 1 unit is the y axis.

Answer:

(-5, 1)

Step-by-step explanation:

The equation to solve this would be (x - 5, y - 1), since if you are going left you subtract and if you are going right you would add and up would be add and down would be subtract. Now, you just replace the x and the y with the coords so the equation is now (0 - 5, 2 - 1) which simplifies to (-5, 1) and there's your answer! :)

Answer:

it will take 16 minutes

Step-by-step explanation:

Its already filled 5 gallons. if it's 1/4 per minute, then in 4 minutes 1 gallon will be filled. that means in 16 minutes it will be filled 9 gallons because 4 minutes x 4 is 16 minutes and 1 gallon times 4 is 4 gallons and 4 gallons + 5 gallons is 9 gallons ur welcome

Step-by-step explanation:

I am sorry but please give detailed question

Answer:  B) 2/3

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

Work Shown:

Method 1

Apply the slope formula

m = (y2-y1)/(x2 - x1)

m = (3-1)/(-1 - (-4)) ..... using the first two rows as points

m = (3-1)/(-1 + 4)

m = 2/3 is the slope

-----------------------------------

Method 2

Each time y goes up by 2, x goes up by 3.

For instance, the jump from y = 1 to y = 3 is "plus 2". At the same time, the jump from x = -4 to x = -1 is "plus 3".

We can then say

slope = (rise)/(run)

slope = (change in y)/(change in x)

slope = (y increase by 2)/(x increase by 3)

slope = 2/3

Answer:

Part A)

50

Part B)

1

Part C)

50 feet per second.

Step-by-step explanation:

First, note that Point A is at (3, 150) and that Point B is at (4, 200).

Part A)

The y-values of Point A and Point B are 150 and 200, respectively.

Therefore, the change in y-value from A to B is:

\(\Delta y = (200)- (150) = 50\)

(Note, the triangle symbol or Greek letter Delta is used to denote "change" or "difference.")

Part B)

The x-values of Point A and Point B are 3 and 4, respectively.

Therefore, the change in x-value from A to B is:

\(\Delta x = (4)-(3)=1\)

Part C)

Recall that the rate of change of a linear function is given by the change of y over the change of x. In other words:

\(\displaystyle \text{Rate of Change} = \frac{\Delta y}{\Delta x}\)

Substitute and evaluate:

\(\displaystyle \text{Rate of Change} = \frac{(50)}{(1)}=50\)

Since the y-values are in feet and the x-values are in seconds, the rate of change of the linear function is 50 feet per second.

Answer:

\(y=3\)

Step-by-step explanation:

Since g(x)=0, you input 0 into every x

\(y=-(0)^{2} -2(0)+3\)

Which then becomes:

\(y=0+3\)

Take out the 0 and there's your answer

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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The form:

y = a(x-h)^2 + k

Is the vertex form of the quadratic equation, by finding the vertex, we conclude that k = -1.

For any quadratic equation of the form:

y = a*x^2 + b*x + c

With a vertex (h, k), we can rewrite the equation as:

y = a*(x - h)^2 + k

And the value h of the vertex is given by:

h = -b/(2a)

In this case, the quadratic equation is:

y = 2x^2 - 8x + 7

Then the value h of the vertex is:

h = -(-8)/(2*2) = 2

Evaluating the quadratic equation in x = 2 we will get the value of k, so we have.

y = 2*(2)^2 - 8*2 + 7 = -1

Then the vertex is (2, -1), which means that the value of K is -1.

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Answer:

The image is not clear but get the idea

To find the limit as t approaches infinity of the solution y(t) to the initial value problem dy/dt = 2y(1 - y^5) with boundary condition y(0) = 1, follow these steps:

1. First, recognize that the given equation is a first-order, separable differential equation. Separate the variables y and t:
  dy/y(1 - y^5) = 2dt

2. Integrate both sides:
  ∫(1/y(1 - y^5))dy = ∫2dt

3. Evaluate the integrals:
  The left side requires partial fraction decomposition or a substitution (let u = 1 - y^5):
  ∫(1/y(u))dy = ∫2dt

  The right side is simpler:
  2t + C1

4. Solve for y(t) and apply the initial condition y(0) = 1:
  y(t) = some function of t and C1
  y(0) = 1 implies C1 = some value

5. Determine the limit as t approaches infinity:
  lim t→∞ y(t)

Following these steps will give you the solution to the problem and the limit as t approaches infinity.

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Answer:

let the larger number be x and smaller number be y

1 equation

x-y=19

or x=19+y

2 equation

x=4y-8

then

putting valu of x in eqn 2nd

19+y=4y-8

19+8=4y-y

27=3y

y=9

so putting value of y in eqn 1

x= 19+9

 x=28

therfore, larger number =28

smaller number =9

Step-by-step explanation:

Answer:1260

Step-by-step explanation:

140 x 9

The width of the rectangular walkway is 3 feet around.

The walkway has a uniform width around the rectangle.

Let the width of walkway be x

The total length of the garden and walkway will be (12+2x) feet

The total width of the walkway and garden would be (8+2x) feet

Area of the garden and the walkway together are 252 square

Let’s express this mathematically:

(8+2x)(12+2x) = 252

Let’s open the brackets;

96+ 16x+ 24x + 4x^2 = 252

4x^2 + 40x + 96 = 252

4x^2 + 40x + 96-252 = 0

4x^2 + 40x - 156 = 0

Let’s divide all through by 10. We have;

x^2 + 10x -39 = 0

X^2 +13x-3x-39 = 0

x(x + 13) -3(x+ 13) = 0

(x-3)(x + 13) = 0

x -3 = 0 or x + 13 = 0

x = 3 or -13

We ignore x = -13 since width cannot be negative in size

Therefore, the width of the rectangular walkway is 3 feet around.

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Answer:

641.29

Step-by-step explanation:

100% = 903.23

1% = 903.23 ÷ 100 = 9.0323

71% = 9.0323 x 71 = 641.2933

Rounded to 2 decimal places =

641.2933 = 641.29

Answer:

641.29 m

Step-by-step explanation:

Convert "71%" to the decimal fraction 0.71.  

Then multiply 903.23 m by this 0.71:

641.29 m

Answer:

the answer would literally be 6 and -6

Step-by-step explanation:

6x6=36, therefore that is your answer

-6x-6=-36, this is true because the equation 6 x 6 is a quadratic equation

Answer:

12

Step-by-step explanation:

i saw someone else post the answer and she said it was 12. it's from moems right

Answer:

20

Step-by-step explanation:

Theres 4 ways to go to h straight down

Theres 8 ways to go to the right

Theres the same number as the right as the let

Therefore there is 20

The police officer should expect to pull over at least 4 people until she finds a driver not wearing safety belt.

Here, we are given that only 68% of drivers wear their safety belt.

This means that out of 100 drivers, only 68 will wear safety belt.

The percentage of drivers who do not wear safety belts = 100 - 68

= 32%

This means that out of 100 drivers, only 32 will not wear a safety belt.

Now, we need to find the number of people that must be pulled over until a driver not wearing safety belt is pulled.

The police officer will catch 32 drivers without safety belt when she pulls over 100 cars.

Therefore, the police officer will catch 1 driver not wearing safety belt when she pulls over 100/32 = 3.125 cars.

Since number of cars cannot be a decimal number, we round it off to 4

Thus, the police officer should expect to pull over at least 4 people until she finds a driver not wearing safety belt.

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Answer:

arc RP = 136°

Step-by-step explanation:

the inscribed angle PQR is half the measure of its intercepted arc, then

arc PR = 2 × ∠ PQR = 2 × 68° = 136°

Answer:

196 m^2

Step-by-step explanation:

Length of the side of the square = 14 m

area= 14×14 = 196 m^2

hope it helps...

have a great day!!

Therefore, the parameter in this case is the average amount of time teenagers spend playing computer games in the current year.

To determine if the amount of time teenagers spend playing computer games is greater than the average time in the 1990s (10.2 hours per week), the scientist would conduct a study and collect data on the current average time spent playing computer games among teenagers.

In this context, the parameter of interest would be the average amount of time teenagers currently spend playing computer games per week. The scientist wants to compare this parameter to the average time of 10.2 hours per week in the 1990s.

By collecting data from a representative sample of teenagers and calculating the average time spent playing computer games, the scientist can then compare the current average to the 1990s average. If the current average is significantly higher, it would indicate that teenagers spend more time playing computer games now than they did in the 1990s.

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Answer:

Step-by-step explanation:

doing map testing rn el o el

Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

(c) translate point D' to point A; ∠D'E'C' ≅ ∠BAC

To establish that ΔACB ~ ΔECD by the AA similarity postulate, we need to show that both pairs of corresponding angles are congruent.

Reflect ΔECD over segment AC: This means we mirror ΔECD across segment AC to create a new triangle, which we'll label ΔE'C'D'.

From the reflection, we can conclude that ∠ACB ≅ ∠E'C'D'. This is because the reflection preserves angles.

Now, we need to translate point D' to point A. Translation means moving an object without changing its shape or size. By translating D' to A, we create a new triangle, which we'll label ΔD'E'C'.

By translating D' to A, we can establish that ∠D'E'C' ≅ ∠BAC. This is because the translation preserves angles.

Therefore, based on the congruent angles we have established: ∠ACB ≅ ∠E'C'D' and ∠D'E'C' ≅ ∠BAC, we can conclude that ΔACB ~ ΔECD by the AA similarity postulate.

So, the correct answer is (c) translate point D' to point A; ∠D'E'C' ≅ ∠BAC.

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Answer:

mashup math on "yt"

Step-by-step explanation:

go there you'll get you answer and more he explained it better then i could have

Answer:

52.948 m²

Step-by-step explanation:

→ State the formula for the area

length × width

→ Substitute in the numbers

8.68 × 6.1 = 52.948 m²

Answer:  \(x=\frac{y+6}{2}\)

Step-by-step explanation:

\(12-2x=-2\left(y-x\right)\)

________________________________

(Expand: \(-2\left(y-x\right)\))

\(=-2y-\left(-2\right)x\)

\(=-2y+2x\)

_________________________________

\(12-2x=-2y+2x\)

\(-2x=-2y+2x-12\)

\(-2x-2x=-2y+2x-12-2x\)

\(-4x=-2y-12\)

\(\frac{-4x}{-4}=-\frac{2y}{-4}-\frac{12}{-4}\)

__________________________________

(Simplify: \(\frac{-4x}{-4}\))

\(\frac{-4x}{-4}\)

\(=\frac{4x}{4}\)

\(=x\)

__________________________________

(Simplify: \(-\frac{2y}{-4}-\frac{12}{-4}\))

\(=\frac{-2y-12}{-4}\)

\(-\frac{-2y-12}{4}\)

\(\frac{-2y-12}{4}\)

\(=-\frac{y+6}{2}\)

\(-\left(-\frac{y+6}{2}\right)\)

\(=\frac{y+6}{2}\)

\(x=\frac{y+6}{2}\)

To rewrite the integral ∫(36 - x²) dx using a trigonometric substitution, we substitute x = 6sin(theta) and dx = 6cos(theta) d(theta). The integral becomes ∫(36 - (6sin(theta))²) (6cos(theta)) d(theta).

To rewrite the integral ∫(36 - x²) dx using a trigonometric substitution, we make the substitution x = 6sin(theta), where -π/2 ≤ theta ≤ π/2. This choice of substitution is motivated by the Pythagorean identity sin²(theta) + cos²(theta) = 1, which allows us to replace x² with 36 - (6sin(theta))².

Taking the derivative of x = 6sin(theta) with respect to theta, we obtain dx = 6cos(theta) d(theta).

Substituting x = 6sin(theta) and dx = 6cos(theta) d(theta) in the integral, we have:

∫(36 - x²) dx = ∫(36 - (6sin(theta))²) (6cos(theta)) d(theta).

Simplifying the integrand, we have:

∫(36 - (6sin(theta))²) (6cos(theta)) d(theta) = ∫(36 - 36sin²(theta)) (6cos(theta)) d(theta).

Using the trigonometric identity cos²(theta) = 1 - sin²(theta), we can simplify further:

∫(36 - 36sin²(theta)) (6cos(theta)) d(theta) = ∫(36 - 36(1 - cos²(theta))) (6cos(theta)) d(theta).

Expanding and simplifying the integrand:

∫(36 - 36 + 36cos²(theta)) (6cos(theta)) d(theta) = ∫(36cos²(theta)) (6cos(theta)) d(theta).

Now, we have a simpler integral that can be evaluated using standard trigonometric integration techniques. The result will depend on the limits of integration, which are not specified in the given question.

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Answer:

Step-by-step explanation:

This is a quadrilateral. A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.

The interior angles of a simple quadrilateral ABCD add up to 360 degrees of arc.

Answer:

Angle x = 40°

Step-by-step explanation:

All angles of any quadrilateral sum up to 360°.

So here, already measure of 3 angles are given.

So if we add up all angles + Angle x then it sums up to 360°.

So, the following steps will lead you to the answer:

73° + 157° + 90° + Angle x = 360°

(Now add up the measure of the three given angles)

320° + Angle x = 360°

(Now, through transposition moves 320° to the RHS) (Remember when transposing the signs change)

Angle x = 360° - 320°

Finally,

Angle x = 40°

Hope it helps!!!

Answer:

4

Step-by-step explanation:

.....