Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone a good view, each row must have 5 more seats than the row before it, and the 1st row can only have 12 seats. Help Jeff plan the rest of the seating by solving for how many seats are in row 25. Then explain to Jeff how to create an equation to predict the number of seats in any row. Show your work, and use complete sentences.

Answers

Answer 1

Answer:

Its a sequence question so, you have to find the nth term.

Step-by-step explanation:

If there are 5 more seats, and first value is 12, then:

nth terms = 5n + 12

Try substituting n with 1 to check

Hope this helps


Related Questions

Can somebody help me find x?
x =

a.7
b.4
c.9

Can somebody help me find x?x =a.7b.4c.9

Answers

Answer:

a

Step-by-step explanation:

9 maybe I think so sorry hsagfajjajaajjhjhj

(a) how many milliseconds are there in 1.00 year? (b) how many years are there in 1.00 minute? (c) how many minutes are there 1.00 decade?

Answers

(a)There are 31557600000 milliseconds in 1 year.

(b)There are 3125000 years in 1 minute.

(c)There are 5256000 minutes in 1 decade.

What is a millisecond, minute, and decade?

A millisecond is typically used to measure how long it takes to read or write to a hard drive or CD-ROM device. A millisecond is denoted by msec. One-thousandth of a second is called a millisecond.

A unit of time equal to 60 seconds is known as a minute. A minute has 60 seconds in the UTC time zone. A minute is denoted by min.

Ten years is considered one decade. Greek is where the word decade first appeared. It alludes to the unofficial ten-year time frames of the calendar. A decade is denoted by dec.

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how to use splitpts matlab

Answers

To use the splitpts function in Matlab, you will first need to define two sets of points with different arrays for each set. Then, you can use the syntax newSetOfPoints = splitpts(originalSetOfPoints) to split the original set of points into two new sets.


The "splitpts" function in MATLAB is used to split a set of points into two sets based on a specified split point. Here are the steps to use this function:

1. Define the set of points you want to split. For example:
```
points = [1 2 3 4 5 6 7 8 9 10];
```

2. Specify the split point. This can be any number between the minimum and maximum values of the set of points. For example:
```
splitPoint = 5;
```

3. Use the "splitpts" function to split the set of points into two sets. The first set will contain all the points less than or equal to the split point, and the second set will contain all the points greater than the split point. For example:
```
[set1, set2] = splitpts(points, splitPoint);
```

4. The resulting sets will be stored in the variables "set1" and "set2". You can display these sets using the "disp" function:
```
disp(set1);
disp(set2);
```

The output will be:
```
1 2 3 4 5
6 7 8 9 10
```

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Consider the derivation of the quadratic formula below. What is the missing radicand in Step 6?

A. b^2-4ac/4a

B. b^2+4ac/4a^2

C. b^2-4ac/4a^2

D. b^2+4ac/4a

Consider the derivation of the quadratic formula below. What is the missing radicand in Step 6?A. b^2-4ac/4aB.

Answers

The correct answer is d

lus
Find the probability that a randomly
selected point within the circle falls
in the white area.
r = 4 cm
4 √2cm
[? ]%

lusFind the probability that a randomlyselected point within the circle fallsin the white area.r = 4

Answers

Answer:

1-\(\frac{2 }{\pi }\) = 1- .64 = .36 = 36%

\((4\sqrt{2}) ^{2} = 32\\\)

\(\pi 4^{2}\)= 16\(\pi\)

\(\frac{32}{16\pi }\)= \(\frac{2 }{\pi }\)

Step-by-step explanation:

URGENT The table shows the value of a car over time that was purchased for $20,600, where x is years and y is the value of the car in dollars. A. Write and exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. B. Using the equation, determine the value of the car, to the nearest cent, after 15 years

Answers

The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

What is exponential regression?The formula for exponential regression is \(y = ab^x\). This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.A model that explains the process of doubling growth. The exponential equation is \(y=ab^x.\)Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

What is exponential regression?

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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I need help on this one

I need help on this one

Answers

Answer:

= 1/26

Step-by-step explanation:

Use Division Distributive Property:

(x/y)^a = x^a/y^a

(^, That means to the power of exponents.)

Then you Simplify  6^3 to 216

Then you will get 1 over 216.

I need help for the slope:


Plz help meee

I need help for the slope:Plz help meee

Answers

Slope (y2-y1)/(x2-x1)
Pick any two points on graph
(1,0) and (0, -3)
(-3-0)/(0-1) = -3/-1 = 3
The slope is 3

Answer:

slope = 3

Step-by-step explanation:

slope = 3/1

.......

......

In the given figure ABCD, prove that
angleBCD= angleBAD+ angle ABC+angle ADC.
[Hint: Join A and C then extended AC to the point E]​

In the given figure ABCD, prove thatangleBCD= angleBAD+ angle ABC+angle ADC.[Hint: Join A and C then

Answers

We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

- \(\displaystyle\sf \angle ACD = \angle BAD + \angle ADC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).

4. In triangle \(\displaystyle\sf BCE\):

- \(\displaystyle\sf \angle BCE = \angle BAD + \angle ABC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

- \(\displaystyle\sf \angle BCE = \angle BCD\).

6. Combining the equations from steps 3 and 4:

- \(\displaystyle\sf \angle BCD = \angle ACD = \angle BAD + \angle ADC\). - \(\displaystyle\sf \angle BCD = \angle BCE = \angle BAD + \angle ABC + \angle ADC\).

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Why is my engine knocking?

Answers

Answer: i agree with the other guy ↑

Hard math plz help!!!!!!!! PLZ NEED IT QUICK

Answers

Answer:

Hi bub. Thanks for the points lol.

:D

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

lol

Given that 6 x − 4 y = 29 Find x when y = 4

Answers

Answer:

\(x=15/2=7.5\)

Step-by-step explanation:

So we have the equation:

\(6x-4y=29\)

And we want to find x when y is 4.

So, substitute y for 4:

\(6x-4(4)=29\)

Multiply:

\(6x-16=29\)

Add 16 to both sides:

\(6x=45\)

Divide both sides by 6:

\(x=45/6\)

Reduce by dividing both layers by 3:

\(x=15/2=7.5\)

And this is our answer :)

Answer:

\(7.5 \: or \:7\frac{1}{2}\)

Step-by-step explanation:

\(6x- 4 y = 29\\x =?\\y =4\)

Substitute 4 for y in the given equation ;

\(6x-4(4)=29\\6x -16=29\)

Collect like terms

\(6x = 29+16\)

Simplify

\(6x = 45\)

Divide both sides of the equation by 6

\(\frac{6x}{6} = \frac{45}{6} \\\\x =\frac{15}{2} \:or \: 7.5 \: or \:7\frac{1}{2}\)

Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)

Answers

Answer:

M(13, 14)

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

Each coordinate of the midpoint is the average of endpoints:

x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14

Therefore M is (13, 14).

when determining what information a graph conveys, it is important to first determine what type of data the x-axis represents.

Answers

When examining a graph, it is crucial to identify what type of data is being displayed on the x-axis.

Depending on the nature of the data, the graph can convey different types of information and insights. For example, if the x-axis represents time, the graph may depict trends or patterns over a specific period.

Alternatively, if the x-axis represents categorical data such as age groups or geographic locations, the graph may display comparisons or relationships between different groups.

Therefore, identifying the type of data on the x-axis is essential in interpreting and analyzing the information presented in the graph.

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Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (If an answer does not exist, enter DNE.)
g(x) = x2 + (2/x)
relative maximum(x, y)=
relative minimum(x, y)=

Answers

The function g(x) = \(x^2\) + (2/x) has a relative minimum at (x, y), and it does not have a relative maximum.

To find the relative extrema of the function g(x), we need to find its critical points and apply the Second Derivative Test.

First, let's find the critical points by taking the derivative of g(x). The derivative of g(x) is given by g'(x) = 2x - (2/\(x^2\)). To find the critical points, we set g'(x) equal to zero and solve for x:

2x - (2/\(x^2\)) = 0

\(2x^3 - 2\) = 0

\(x^3 - 1\) = 0

\((x - 1)(x^2 + x + 1)\) = 0

From this equation, we find one critical point x = 1.

Next, we apply the Second Derivative Test to determine whether the critical point x = 1 corresponds to a relative minimum or maximum. Taking the second derivative of g(x), we get:

g''(x) = 2 + (4/\(x^3\))

Substituting x = 1 into g''(x), we find:

g''(1) = 2 + (4/\(1^3\)) = 6

Since g''(1) is positive, the Second Derivative Test tells us that the function g(x) has a relative minimum at x = 1. However, it does not have a relative maximum. Therefore, the relative minimum point is (x, y) = (1, 3).

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Consider regular pentagons with side lengths, area a, and perimeter p. Suppose f. 9. h, and jare functions such that: • S() represents the perimeter (in cm) of a regular pentagon whose side length is . cm. . (p) represents the side length (in cm) of a regular pentagon whose perimeter is p cm. . (*) represents the area (in cm) of a regular pentagon whose side length is om f(a) represents the side length (in cm) of a regular pentagon whose area is a cm? Use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 101 em.

Answers

The area of a regular pentagon whose perimeter is 101 cm is (2025√5− 810) cm².  

(p) represents the side length (in cm) of a regular pentagon whose perimeter is p cm. (*) represents the area (in cm) of a regular pentagon whose side length is om. f(a) represents the side length (in cm) of a regular pentagon whose area is a cm. Function notation is used to represent the area of a regular pentagon whose perimeter is 101 cm. A regular pentagon is a polygon with 5 sides and 5 equal angles. The side length, area, and perimeter of a regular pentagon are represented by the given functions. We are supposed to find the area of a regular pentagon whose perimeter is 101 cm.Since the perimeter is given, we will use the function (p) to find the side length of the pentagon, then we can use the (*) function to find its area. To find the side length of the pentagon whose perimeter is 101 cm, we will use the function (p). So, p = 101 cm. The side length of the pentagon is given by the function (p). So, a = (p/5) cm = (101/5) cm = 20.2 cm. Now, using the (*) function to find the area of the pentagon whose side length is 20.2 cm. So,* = (1/4) × √(5(5+2√5)) × (a²) cm²* = (1/4) × √(5(5+2√5)) × (20.2²) cm²= (2025√5− 810) cm².

Hence, the area of a regular pentagon whose perimeter is 101 cm is (2025√5− 810) cm².

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Jena has a rope that is 4 1/4 inches long. If she divides the rope into sections that are exactly 1/4 inch in length, how many 1/4-inch sections will she have?

Answers

Answer:

Hey there!

There are four 1/4 inch long sections in 1 inch. Thus, in four inches there would be 16 of those sections.

16+1=17

Thus, in 4 1/4 inches of rope, there are 17 sections of 1/4 inches.

Hope this helps :)

Answer: 17 1/4 inch sections

Step-by-step explanation:

4 1/4 = 4.25

1/4 = .25

Simply do 4.25/.25 to get 17.

Hope it helps <3

Which expression is equivalent to 2√25y8 4√6y³, if y> 0?
A. 40y5√6y
OB. 8y²150y
OC. 14y5√√6y²
D. 17y6y5

Answers

The expression that is equivalent to 2√25y^8 4√6y³ is 40y^5√6y

How to determine which expression is equivalent?

The expression is given as:

2√25y^8 4√6y³

Take the square root of 25

2√25y^8 4√6y³ = 2 * 5√y^8 4√6y³

Take the square root of y^8

2√25y^8 4√6y³ = 2 * 5 *y^4 4√6y³

Evaluate the product

2√25y^8 4√6y³ = 10y^4 4√6y³

Multiply 4 and 10

2√25y^8 4√6y³ = 40y^4 √6y³

Take the square root of y^3

2√25y^8 4√6y³ = 40y^4 y√6y

Multiply 40y^4 and y

2√25y^8 4√6y³ = 40y^5√6y

Hence, the expression that is equivalent to 2√25y^8 4√6y³ is 40y^5√6y

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how do i solve a function even or odd

Answers

Answer:

You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.

Step-by-step explanation:

Half a number minus nineteen

Answers

Answer:

1/2x-19

Step-by-step explanation:

I used "x" for a number and a half can be divided by 2, multiplied by or .5, or times 1/2 which is what I normally do. Then minus nineteen is -19.

You and a friend are doing math homework together you have to solve the equation 5X + 4X -68 equals 34 - 8X. Your friend arrives at the incorrect answer X equals -2 find the correct value of X then find the error your friend possibly be made

Answers

Answer:

the correct answer

x = 6

Step-by-step explanation:

5x+4x-68=34-8x, combine like terms

9x-68=34-8x, add 68 to both sides

9x=102-8x, add 8x to both sides

17x=102, divide both sides by 17

x=6

your friend's answer is the same work, but instead of adding 68 to both sides, it was subtracted from 34 giving a -34 instead of 102.

9x=-34-8x

17x= -34

x = -2

A market buys mixed candy at $15 per pound. They want to make a 30% profit on each pound. How much should they charge customers per pound? Explain your answer

Answers

Answer:

$15 * .30 = 30 % of 15 add that to the 15 and that includes the 30% profit

$19.50

Step-by-step explanation:

Solve for xxx. Enter the solutions from least to greatest. 3x^2 - 9x - 12 = 03x
2
−9x−12=0

Answers

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

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A school held several evening activities last month-a music concert


a basketball game, a drama play, and literacy night. The music


concert was attended by 250 people. Use any strategy. Show your


work.


How many people came to each of the other activities?


a. Attendance at a basketball game was 30% of attendance at the


concert.

Answers

The number of people who came to the basketball game was 75.

Given data:
The attendance at the music concert = 250 people
Attendance at a basketball game was 30% of attendance at the concert.
To find:
The number of people who attended each of the other activities.

Method:
Since the attendance at a basketball game was 30% of attendance at the concert, we can use the proportionality method to find the number of people who came to each of the other activities, as follows:

Let the attendance at the basketball game be x.  

The proportionality method is:

Attendance at basketball game / Attendance at concert = Percentage of attendance at basketball game / Percentage of attendance at concert
Putting the values in the above proportionality method, we get:
                  x / 250 = 30/100
Multiplying both sides by 250, we get:
                  x = 30/100 × 250
                  x = 75

Therefore, the number of people who came to the basketball game was 75.

Now, we can use the same method to find the number of people who came to the other activities. Let's take the drama play as an example.

Let the attendance at the drama play be y.

The proportionality method is:

Attendance at drama play / Attendance at concert = Percentage of attendance at drama play / Percentage of attendance at concert

Putting the values in the above proportionality method, we get:

y / 250 = P / 100

Where P is the percentage of attendance at the drama play.

Now, let's assume that the percentage of attendance at the drama play was 50%.

Then, putting the value of P = 50 in the above equation, we get:

y / 250 = 50 / 100

Multiplying both sides by 250, we get:

y = 50/100 × 250
y = 125

Therefore, the number of people who came to the drama play was 125.

Now, we can use the same method to find the number of people who came to the literacy night.

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if the least-squares regression line for predicting y from x is y = 50 – 15x, what is the predicted value of y when x = 3?

Answers

The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

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Fit the following points (-1,2), (0,0), (0.1,1), (1,2) to the following equation y = a +bx+cx²

Answers

The equation y = 2x perfectly fits the given points (-1,2), (0,0), (0.1,1), (1,2), as the coefficients are determined to be a = 0, b = 2, and c = 0. This means that the equation represents a straight line passing through the origin (0,0), with a slope of 2.

To fit the given points (-1,2), (0,0), (0.1,1), (1,2) to the equation y = a + bx + cx², we can use the method of least squares regression to find the values of the coefficients a, b, and c that minimize the sum of the squared differences between the actual y-values and the predicted values from the equation.

Using the least squares regression, we can solve a system of linear equations formed by substituting the x and y values from the given points into the equation. In this case, we have four equations:

2 = a - b + c

0 = a

1 = a + 0.1b + 0.01c

2 = a + b + c

Solving these equations, we find that a = 0, b = 2, and c = 0.

Therefore, the equation that best fits the given points is y = 2x, with a = 0, b = 2, and c = 0.

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Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points. 30% of adults will have an IQ score higher than what value?

Answers

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

Your bank account has a balance of −$12. You deposit $60. What is your new balance?

Answers

\(\tt{Hey~there!\)

\(\tt{To~find~out~how~much~money~is~in~the~bank,~add~-12~and~60.\)

\(\tt{-12+60=48\)

\(\tt{There~are~\$48~in~the~bank.\)

\(\boxed{\tt{\$48}}\)

\(\tt{Hope~this~helps!\)

\(\boxed{\tt{-TestedHyperr}}\)

Six less than a number is at most 9

Answers

Answer:

x - 6 ≤ 9

Step-by-step explanation:

1. Find the length of each leg.
R
Q
30⁰
4
60%
P

1. Find the length of each leg.RQ30460%P

Answers

Answer:

QP = 2

QR = 2√3

Step-by-step explanation:

This is a special right triangle with angle measures as follows:

30° - 60° - 90°

And side lengths represented with:

x - x√3 - 2x respectively to angle measures.

The side length that sees angle measure 90, hypotenuse, is given as 4 so the legs would be:

2 and 2√3

Other Questions
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