At a charity fund-raiser, adult tickets were sold at $11 each and the kids tickets were sold at $2 each. Write an algebraic expression. How much money was got if 228 adult tickets were sold and 384 kids tickets. A=the number of adult tickets and C= children. Total money raised in algebraic expression

Answers

Answer 1

The unknown variables are adult tickets or A, and children tickets or C.

So for every adult ticket sold, the number of tickets is times the cost which is 11 dollars. Hence, if you sold 2 adult tickets, what you've made can be calculated as 2 x 11. And so on for any number of tickets. The same method applies for children tickets, that is, variable C, which is 2 dollars each.

Therefore the equation to represent this can be expressed as follows;

Each A ticket is $11 and each C ticket is $2. the sales of both tickets all together is

11 times A + 2 times C

11A + 2C

This is the algebraic expression that can be used to determine how much was made for any number of tickets sold.

For the total money raised by selling 228 adult tickets and 384 kids tickets, the expression can be written as follows;

Profit = [228 * 11] + [384 * 2]

Profit = 2508 + 768

Profit = 3276

The total money raised is $3,276

Note that expressing the total money raised "in algebraic expression" simply means stating your answer while still including the UNKNOWN VARIABLES (A and C). Therefore the total money money raised IN ALGEBRAIC EXPRESSION, is Profit = 11A + 2C

Lets look at the first variable, the adult tickets. Each ticket costs $11. If you were to sell 2 tickets that would be 2 times $11 which is $22. If you were to now sell 10 tickets, That would be 10 times $11, right? And that gives you $110.

If the profit made is calculated as number of tickets sold times the cost of each ticket, then it means the number of ticket being represented by an unknown variable is as good as being given a clear number to work with. So right now, you have not been given a number of tickets as 10, but rather you have been given a number of tickets as letter A. Refer to the question and you would see that its stated, "A = the number of adult tickets..."


Related Questions

-5^2+7(-9+2)-1
Evaluate

Answers

Answer:

-75

Step-by-step explanation:

Answer: The answer is -75.

classify the following set of measurements as accurate, precise, both, or neither. checking for consistency in the weight of chocolate chip cookies: 17.27 g, 13.05 g, 19.46 g, 16.92 g

Answers

The dimensions listed above are thus neither exact nor precise.

In the given question the chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively and we have to classify the following set of measurements as accurate, precise, both, or neither.

It is the "value" that a buyer is prepared to pay for an object, particularly a used or second-hand car; typically, the "real worth" of any used car is a predetermined price tag after determining its value based on its condition and usage.

The chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively. This demonstrates that the weight of chocolate chips is not comparable to their actual worth.

The dimensions listed above are thus neither exact nor precise.

To learn more about True value link is here:

brainly.com/question/13623538

#SPJ4

One of the major attractions in Yellowstone National Park is the Old Faithful geyser. The scatterplot shows the relationship between x = the duration of the previous eruption (in minutes) and y = the interval of time between eruptions (in minutes). The equation of the regression line relating these variables is = 33.35 + 13.29x. Predict the interval of time between eruptions if the previous eruption lasted 4 minutes. (LT 2.5.1 #1)
answer choices
The predicted y is 86.51 minutes.
The predicted y is 53.16 minutes.
The predicted y is about 90 minutes.
There is no such thing, because that would be an extrapolation.

Answers

the predicted interval of time between eruptions would be 53.16 minutes with regression equation.

The equation of the regression line is y = 33.35 + 13.29x.

Plugging in x = 4, we get y = 33.35 + 13.29(4) = 53.16 minutes.

The equation of the regression line is y = 33.35 + 13.29x. This equation is used to predict the interval of time between eruptions based on the duration of the previous eruption. By plugging in the value of x (4) into the equation, the predicted y value is 53.16 minutes. This means that if the previous eruption lasted 4 minutes, the predicted interval of time between eruptions would be 53.16 minutes.

Learn more about regression here

https://brainly.com/question/28178214

#SPJ4

A =e+f/2 solve for e

Answers

The value of e can be calculated by  e = A - f/2.

What is simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

We have been given an expression as;

A =e+f/2

We need to find the solution for 'e'.

So,

A = e+f/2

Subtract from f/2 on each side, we get;

A - f/2 = e

Thus, e = A - f/2

Therefore, the value of e can be calculated by  e = A - f/2.

Learn more about simplification;

https://brainly.com/question/17579585

#SPJ1

What is the area of this trapezoid?
A, 108 in2
B, 139.5 in2
C, 166 in2
D, 171 in2​

What is the area of this trapezoid?A, 108 in2B, 139.5 in2C, 166 in2D, 171 in2

Answers

The area of the trapezoid is equal to 139.5 in² and the correct option is B.

How to evaluate for the area of the trapezoid.

area of the trapezoid is calculated using the formula: 1/2 × (AB + CD) × height (EB)

AB = 12 in

CD = 2 in + 12 in + 5 in = 19 in

height = 9 in

area of trapezoid ABDE = 1/2 × (12 + 19) × 9 in²

area of trapezoid ABDE = 1/2 × 31 × 9 in²

area of trapezoid ABDE = 1/2 × 279 in²

area of trapezoid ABDE = 139.5 in²

Therefore, the area of the trapezoid is equal to 139.5 in².

Know more about area here:https://brainly.com/question/21735282

#SPJ1

You are running an obstacle course. As part of the course, you must climb up a diagonal rope net to a platform. The rope net starts 35 feet from the platform base, and the platform is 20 feet high. About how long is the rope net?

You are running an obstacle course. As part of the course, you must climb up a diagonal rope net to a
You are running an obstacle course. As part of the course, you must climb up a diagonal rope net to a

Answers

By using the Pythagorean theorem we conclude that the rope net is about 40.31 feet long.

What is Pythagorean theorem?

The Pythagorean Theorem is a fundamental theorem in mathematics that describes the relationship between the sides of a right triangle.

We can use the Pythagorean theorem to solve this problem.

Let's consider the rope net as the hypotenuse of a right triangle, and the horizontal distance from the base of the platform to the starting point of the rope net as one leg of the triangle.

The other leg of the triangle is the vertical height of the platform.

Using the Pythagorean theorem, we have:

length of rope net = √(horizontal distance² + vertical height²)

Substituting the given values, we get:

length of rope net = √(35² + 20²)

= √(1225 + 400)

= √1625

= 40.31 feet (rounded to two decimal places)

Therefore, the rope net starts 35 feet from the platform base, and the platform is 20 feet high and the rope net is about 40.31 feet long.

To learn more about Pythagorean theorem visit:

https://brainly.com/question/343682

#SPJ1

A square pyramid has a base with an area of 225 centimeters squared if the volume is 300 centimeters cubed how tall is the pyramid

Answers

The height of the square pyramid with base area 225 cm² and volume 300cm³ is equal to 4 centimeters.

Area of the base of square pyramid = 225 centimeters squared

Volume of the square pyramid = 300 centimeters cubed

Using the formula for the volume of a square pyramid,

V = (1/3) × B × h

where V is the volume,

B is the area of the base,

and h is the height of the pyramid.

Substitute this value into the formula we have,

⇒ 300 = (1/3) × 225 × h

Simplifying the equation , we get,

⇒ 900 = 225 × h

Dividing both sides by 225, we get,

⇒ h = 4

Therefore, the height of the square pyramid is 4 centimeters.

learn more about square pyramid here

brainly.com/question/10735731

#SPJ1

My teacher gave me an extra credit assignment with 25 minutes left of class. It is extra credit, not a timed assessment. need done asap

My teacher gave me an extra credit assignment with 25 minutes left of class. It is extra credit, not

Answers

The answer is 19. JM and ML are equal to each other

PLEASE HELP ON QUESTION ASAP !

hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.

If answers correct I'll rate you five stars a thanks and maybe even brainliest


Paragraph I needed help understanding:

If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.



My Question about paragraph:

If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.

Answers

If two or more cells are connected together side by side, the voltage across them is the sum of the voltage of each cell. For example, if two 1.5V cells are connected together side by side, the voltage across them would be 1.5V + 1.5V = 3V.

If the sum of the voltage is 4.5V, it is possible that different cells have different voltages. For example, three cells with voltages 1V, 1.5V, and 2V could be connected together side by side to give a total voltage of 4.5V.

To find the voltage of each cell, we would need to know the voltage across each cell or the voltage of the other cells connected in the circuit. Then we could use the fact that the sum of the voltages across all cells in the circuit is equal to the total voltage of the circuit to solve for the voltage of each cell.

Which table represents a linear function? ​

Which table represents a linear function?

Answers

The last one. Because the Y increases at the same rate when you go up with X. When you go up, the y increases by 5

10. The steps to solve 1 < 3x +5​

10. The steps to solve 1 &lt; 3x +5

Answers

Answer:

-1.33333 < x

Step-by-step explanation:

subtract 5 from both sides

get -4<3x

divde 3 by both sides

-1.33< x

Hi, there!

 _______

The first step is:

» Subtract both sides by 5

\(\sf{-4 < 3x}\)

Now divide each term by 3:

\(\sf{-\dfrac{4}{3} < x}\)

We can flip it over:

\(\sf{x > -\dfrac{4}{3}}\)

Hope the answer - and explanation - made sense,

happy studying!!

is square root of 27 rational or irrational

Answers

Irrational because square root of 27= 5.19615242271

Rayann has 4 bracelets, Jennifer has 8 bracelets, June has 3 bracelets, and Tammy has 5 bracelets. They want to redistribute the bracelets so that each girl has the same number of bracelets. If the bracelets are redistributed, how many should each girl get?

Answers

Answer: 4

Step-by-step explanation:

4+3+5=12

12/3=4

hi thank you for helping me . is this just multiplication?

hi thank you for helping me . is this just multiplication?

Answers

ANSWER:

25.84

STEP-BY-STEP EXPLANATION:

To multiply two decimal numbers:

1. They are multiplied as if they were whole numbers.

2. The final result is a decimal number whose number of decimal places is equal to the sum of the number of decimal places of the two factors.

Therefore:

hi thank you for helping me . is this just multiplication?

need help with this choices:x coordinatey coordinatey axisx axis not equal toequal toinput output

need help with this choices:x coordinatey coordinatey axisx axis not equal toequal toinput output

Answers

First, let's remember that the zeros of a function are the points where the graph intersects the x-axis, that is, those points where an x-coordinate intersects the x-axis since its output is y=0.

Therefore, the following paragraph should be filled in as follows:

You find a zero of a linear function from a graph identifying the x coordinate of any point of intersection with the x-axis, from an equation by setting the output equal to 0, and from a table by identifying the input values when the output is 0.

Jeff Brown has collected sales data for his cupcake stand. Calculate the exponential smoothing forecast for period 13 with α = 0.4. And F2 = A1. Round your answers to 2 decimals. Time 1 2 3 4 5 6 7 8 9 10 11 12 Sales 48 41 37 32 36 31 43 52 60 48 41.9 29.7

Answers

Answer:

The exponential smoothing forecast for period 13 = 39.68

Step-by-step explanation:

As given,

\(\alpha\) = 0.4

Time                 Sales                              forcast

1                            48                                  

2                           41                                 48

3                           37                                 48 + \(\alpha {(41 - 48)}\) = 45.2

4                           32                                 45.2 + \(\alpha {(37 - 45.2)}\) = 41.92

5                           36                                 41.92 + \(\alpha {(32 - 41.92)}\) = 37.95

6                           31                                 37.95 + \(\alpha {(36 - 37.95)}\) = 37.17

7                            43                                 37.17 + \(\alpha {(31 - 37.17)}\) =  34.70

8                           52                                 34.70 + \(\alpha {(43 - 34.70)}\) = 38.02

9                           60                                 38.02 + \(\alpha {(52 - 38.02)}\) = 43.61

10                          48                                 43.61 + \(\alpha {(60 - 43.61)}\) = 50.17

11                           41.9                                 50.17 + \(\alpha {(48 - 50.17)}\) = 49.30

12                           29.7                                 49.30 + \(\alpha {(41.9 - 49.30)}\) = 46.34

13                                                                    46.34 + \(\alpha {(29.7 - 46.34)}\) = 39.68

∴ we get

The exponential smoothing forecast for period 13 = 39.68

Please state which property allows each of the statements to be true. A list of properties
has been given to you. Please use those letters to fill in the blanks.
1.
2.
3.
4.
5.
6829)
6.
7.
8.
9.
If 9x - 2 = 21, then 9x = 23.
If 3(x + 5) = 24, then 3x + 15 = 24.
If 3x + 15 = 24, then 3x = 9.
If 3x = 9, then x = 3.
If a = 7, then 7 = a.
If x/2 = 3, then x = 6.
If 2x + y = 3 and x = 9, then 2(9) + y = 3.
X = X.
If a = b and b = 2, then a = 2.
A.
B.
Addition Property of Equality
Subtraction Property of Equalit
Multiplication Property of Equa
Division Property of Equality
Reflexive Property of Equality
Symmetric Property of Equalit
Transitive Property of Equality
H. Substitution Property of Equa
Distributive Property
F.
G.
1.
C.
D.
E.

Answers

Addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root qualities are the main nine properties of equality.

What is the properties of equality?

The nine basic characteristics of equality are addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root. Real number-based algebraic problems can be resolved with the aid of the addition, subtraction, multiplication, and division properties of equality.

When you add the same amount to both sides of an equation that has two equal expressions, the equation will stay equal. Finding the value of the variable that makes an equation true is the process of solving an equation.

The Subtraction Property of Equality asserts that when an equal value is subtracted from or removed from two equal objects, a new equal quantity is created. A mathematical statement with two equivalent sides is denoted by an equal sign. The formula for the subtraction property is if a = b, then a - c = b - c.

According to the equality's multiplication property, an equation's two sides stay equal when multiplied by the same amount.

To learn more about properties of equality refer to:

https://brainly.com/question/26160231

#SPJ1

using the line of best fit​

using the line of best fit

Answers

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

How to define a linear function?

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you

Answers

This question is incomplete, the complete question is;

You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you wont be selected.

[ Two decimal places ]

Answer:

The probability that you be selected is  0.83

Step-by-step explanation:

 Given the data in the question;

total number of people in the panel = 12

number of people to be selected from the panel = 2

probability you wont be selected = ?

Number of ways of selecting 2 people from the 12 member panel is;

⇒ ¹²C₂ = 12! / ( 2!( 12 - 2 )! ) = 479001600 / 7257600 = 66

so total number of outcome = 66

Now, number of ways in favor of selecting you and another person from the 12 member panel is;

⇒ ¹C₁ × ¹¹C₁ = [1! / ( 1!( 1 - 1 )! )] × [11! / ( 1!( 11 - 1 )! )] = 1 × 11 = 11

so favorable number of outcome = 11

∴ Probability of selecting you in the panel will be;

⇒ favorable number of outcome / total number of outcome

⇒ 11 / 66 = 1/6

Now, Probability of not selecting you in the panel will be;

⇒ 1 - Probability of selecting you in the panel

⇒ 1 - 1/6

0.83

Therefore, The probability that you be selected is  0.83

At a restaurant, your total bill is $81.95 . You wish to give a tip of 15% of the total bill. What is the amount of the tip? Round your answer to the nearest cent

Answers

Answer:

Step-by-step explanation:

Find 15 percent of 81.95 and add it to that.

The answer is 94.24 rounded.

What is the slope of the line that passes through the points ( 9 , 5 ) (9,5) and ( 21 , − 5 ) (21,−5)? Write your answer in simplest form.

Answers

Answer:

-5/6

Step-by-step explanation:

(9, 5) and (21, -5)

slope = m = (difference in y)/(difference in x)

m = (-5 - 5)/(21 - 9)

m = -10/12

m = -5/6

Answer: -5/6

The slope of the line that passes through points (9,5) and (21,-5) is -5/6.

We can use the two-point formula to find the slope for the given line. The formula is as follows:

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

Where (x1, y1, x2, and y2) represent the points on the line, and m is the slope of the line.

In the given case:

x1=9, x2=21

y1=5, y2=-5

Using these values in the two-point formula, we get:

(-5-5)=m*(21-9)

-10=m*12

m=-10/12

m=-5/6

Hence the slope of the line is -5/6.

To find out more about the two-point formula:

brainly.com/question/30241830

Find the slope of the line through the points (5,−3) and (5, 8).

Answers

Answer:

The slope is undefined

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

From the question the points are

(5,−3) and (5, 8)

The slope is

\(m = \frac{8 - - 3}{5 - 5} = \frac{8 + 3}{5 - 5} = \frac{8}{0} \\ \)

Since every number divided by zero is undefined the slope of the line is also undefined.

Hope this helps you

Dropping out You have data from interviews with a random sample of students who failed to graduate from a particular college in 7years and also from a random sample of students who entered at the same time and did graduate. You will use these data to compare the percentages of students from rural backgrounds among dropouts and graduates.
Two proportion z-test.

Answers

The two proportion z-test compares the proportions of two groups and determines whether the difference in proportions is statistically significant. It calculates a z-score, which is used to reject or fail to reject the null hypothesis.

The two extent z-test is a measurable speculation test used to look at the extents of two free gatherings. For this situation, we are looking at the extents of understudies from provincial foundations among dropouts and graduates. We can utilize the z-test to decide if the distinction in extents is measurably huge or basically because of possibility. The test computes a z-score, which is the contrast between the two extents separated by the standard mistake of the distinction. If the determined z-score surpasses a basic worth in view of the importance level and the levels of opportunity, we reject the invalid speculation and presume that the distinction in extents is measurably huge. In any case, we neglect to dismiss the invalid speculation and reason that the distinction in extents isn't measurably huge.

To learn more about hypothesis testing, refer:

https://brainly.com/question/26919812

#SPJ4

Looking at the table above ,

A. What would you consider as the independent variable in this situation ? Introduce the symbol/ name (x,t,...) you will use to represent this variable . Remember to include the units.

B. What is the dependent variable ? Introduce the symbol /name for this variable . Remember the units .

Looking at the table above , A. What would you consider as the independent variable in this situation

Answers

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

For more questions on Variable .

https://brainly.com/question/28248724

#SPJ8

Triangle GHI is similar to triangle JKL. Find LJ. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.

Triangle GHI is similar to triangle JKL. Find LJ. Round your answer to the nearest tenth if necessary.

Answers

Therefore , the solution of the given problem of triangle comes out to be LJ rounded to the closest tenth, is about 7.5

What is a triangle exactly?

A triangular is a polygon because it has two or maybe more additional sections. It has a straightforward rectangular form. A, B, and C are the only three sides that set a triangle apart from a simple triangle. When the boundaries are not exactly collinear, Euclidean geometry results in a singular area instead of a cube. If a shape has three edges and three angles, it is said to be triangular.

Here,

The respective sides of the triangles CHI and JKL are proportional because of their similarity. Using the matching sides, we can construct a proportion:

=> JK / CI = LJ / CH

The values JK = 15 and CI = 8 are provided. Using the data shown in the picture, we must locate CH and LJ.

We can see from the picture that HI = 4 and KL = 20. By taking HI away from CI, we can discover CH:

=> HI = 8 - 4 = 4 CH = CI =

We can now solve for LJ by substituting the numbers we already know into our proportion:

=> LJ / 4 = 15 / 8

=> LJ = 4 * 15 / 8

=> LJ = 7.5

LJ, rounded to the closest tenth, is about 7.5.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Dylan is conducting an experiment and wants to choose the ball with the lowest density.
Ball A = diameter 7cm, mass 1.742kg
Ball B = diameter 6cm, mass 1.040kg
4
Volume of sphere =
3 773
Density
= mass = volume
TT = 3.142
Which ball should he choose?

Answers

Dylan should choose Ball B which having lowest density.

What is volume of spere?

The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.

Given that:

Ball A = diameter 7cm, mass 1.742kg

Ball B = diameter 6cm, mass 1.040kg

As we know that,

volume of a sphere =4/3πr³

1) For Ball A,

volume of a Ball A = 4/3π(3.5)³

volume of a Ball A = 179.6 cm³

given mass for Ball A is 1.742 kg = 1742 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball A will be 9.7 g/cm³.

2) For Ball B,

volume of a Ball B = 4/3π(3)³

volume of a Ball B = 113.11 cm³

given mass for Ball B is 1.040 kg = 1O40 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball B will be 9.19 g/cm³.

By comparing density of both balls,

Density of Ball A > Density of Ball B

Hence, Dylan should choose Ball B which having lowest density.

To know more about Volume of sphere visit,

https://brainly.com/question/22807400

#SPJ1

A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?

Answers

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ1

Find the slope of the line (4, 12) (10, 6)

Answers

The slope is 4 because I used photoshop

**Find the perimeter of the region.**
The circle are congruent to each other.

The circles are tangent to each other, and the straight
segments are tangent to the circles.

The straight
segments are 5 units long.

**Find the perimeter of the region.**The circle are congruent to each other. The circles are tangent

Answers

Find the perimeter of the region.**

The circle are congruent to each other.

The circles are tangent to each other, and the straight

segments are tangent to the circles.

The straight

segments are 5 units long

Please tell me how to find the limit of: lim (x -> 0) (sin(x)) / x

Answers

Step-by-step explanation:

The limit of (sin(x)) / x as x approaches 0 is a well-known limit in calculus, known as the limit definition of the derivative of the sine function.

lim (x -> 0) (sin(x)) / x = 1

This limit can be proven using L'Hopital's rule or by considering the Taylor series expansion of the sine function about x = 0:

sin(x) = x - (x^3) / 6 + (x^5) / 120 + ...

As x approaches 0, the higher order terms in the Taylor series become arbitrarily small, and the expression (sin(x)) / x approaches 1. This shows that the limit of (sin(x)) / x as x approaches 0 is equal to 1.

Other Questions
What did Swift find out about children from America? What became state religions under Empress Wu? Buddhism and HinduismHinduism and Confucianism Buddhism and TaoismConfucianism and Taoism Describe and correct the error a student made when responding to the following question. A website to post a blog about the most popular type of pet in the Seattle area. Would a sample consisting of every tenth ticket holding to the local dog show be representative? Explain. Student answer: Yes, since the sample is systematic random sample, it would be representative of the population. Who is Alison Grace Dwivedi if 6x=9y find the value of x:y. . Each reproductive _____________ has only one copy of each gene. Children often use kitchen devices as fashion statements (e.g., pasta strainer as a hat). Their parents typically have difficulty moving being the familiar functions of these objects which demonstrates: After a jury verdict has been presented, the losing party may ask the judge to overturn the verdict by requesting a? es un diagrama del Sol porque no se puede cultivar mi caf en el norte del pas based on the information in the article, does it appear that in early 2016 u.s. households in fact worked fewer hours and took more leisure time? what do the data suggest? Write a program that reads a list of scores and then assigns grades based on the following scheme:The grade is A if score is 7= best 10.The grade is B if score is 7= best 20.The grade is C if score is 7= best 30.The grade is D if score is 7= best 40.The grade is F otherwise. Participants took part in a study to determine the number of consumed beers it would take to affect their ability to walk in a straight line. In this example, the dependent variable is __. climate change serves to intensify the _______________ because as the temperature of the air increases, more water evaporates into the air. pls answer this is due at 11pm! Why do induced currents oppose the change in magnetic flux that causes them? what conservation law of physics would be broken if the induced current flowed in the opposite direction?. 7.A company is able to sell 600 of its product in the first year of business.products it is able to sll decreases by 20%. If this trend continues:Each year however, the amount ofa) How many products will it be able to sell in year 5?b) How many products will it have sold over the course of 5 years? The Consumption of quinoa has been on the rise in an economy. A grain called teff has been referred to as quinoa's twin and is often consumed in place of quinoa. This would make teff and quinoa ___________,and an increase in the price of quinoa should ____________the demand for teff, ceteris paribus. O complements: increase O complements; decrease. O substitutes; increase O substitutes; decrease Those performing capability analysis often use process capability indices in lieu of process performance indices to address how well a process meets customer specifications thus alleviating the importance of evaluating both capability and performance indices together O True O False QUESTION 11 Match the appropriate capability ratio index to its appropriate definition Cp A. Estimates what the process is capable of producing, considering that the process mean may not be centered between the upper and lower specification limits Help please!!! Which graph represents a system of equations with NO SOLUTION. Explain how you know. Why do you think it is important to have a healthy diet? Explain in at least two sentences.