y=-3/2x-1 substitute x to solve for y

Answers

Answer 1

Answer:   You can set the equations equal to each other since they both equal Y, and then solve for x.

Or set the bottom equation equal to X (so x=y-1) and then substitute that for the x in the first equation.

Example:

Y=(Y-1)^2 - 2(Y-1) + 3

Y=(Y^2 -1Y -1Y + 1) - 2Y + 2 + 3

Y= Y^2 -2Y +1 -2Y +5

Y= Y^2 -4Y +6

0= Y^2 -5Y +6

And then factor:

0= Y^2 -3Y -2Y +6

0= Y(Y-3) + -2(Y-3)

0= (Y-2) (Y-3)

Y= 2 or 3

And then take those numbers and plug them into the bottom equation and solve for X. You should get something like (2,3) and (1,2) as answers.

This should be the way to do it. I might have made a multiplication or addition mistake on the way but the process should be the same. Please double check my work and let me know if I did indeed make a mistake.

Thank you, hope this helps :)

Answer 2

Answer:

y = (− 3 x/ 2 )− 1

Step-by-step explanation:


Related Questions

Fill this worksheet out please please please

Answers

Answer:

what work sheet

Step-by-step explanation:

there is nothing there to solve its just white how do we solve the problem if we cant see it

try and repost this cause there is no work sheet and then i’ll help

Type of pan: Class A evaporation pan * 3 points Water depth in pan on day 1=160 mm Water depth in pan on day 2=150 mm (after 24 hours) Rainfall (during 24 hours) =6 mm C pan =0.75 Calculate Lake evaporation 16 mm/day 15 mm/day 12 mm/day None of the above Type of pan: Class A evaporation pan ∗3 points Water depth in pan on day 1=160 mm Water depth in pan on day 2=150 mm (after 24 hours) Rainfall (during 24 hours) =6 mm C pan =0.75 Calculate Lake evaporation 16 mm/day 15 mm/day 12 mm/day None of the above Interception loss takes place due to * 2 points Evaporation Vegetation Photosynthesis

Answers

The lake evaporation rate cannot be determined based on the given information. Interception loss takes place due to vegetation, not evaporation or photosynthesis.

The lake evaporation rate cannot be calculated solely based on the information provided. The given data only includes the water depth in the pan on two consecutive days, along with the rainfall during the 24-hour period. The lake evaporation rate depends on various factors such as temperature, wind speed, humidity, and surface area of the lake, which are not provided in the question. Therefore, it is not possible to determine the lake evaporation rate based on the given information.

Interception loss refers to the process by which vegetation intercepts and retains precipitation, preventing it from reaching the ground or contributing to surface runoff. It occurs when rainwater or other forms of precipitation are captured and stored by vegetation, such as leaves, branches, or stems. The intercepted water may eventually evaporate back into the atmosphere or be absorbed by the vegetation. Interception loss is a significant component of the water balance in ecosystems and plays a role in regulating the availability of water for other processes such as infiltration and groundwater recharge.

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PLEASE HELP!! It's easy i'm just Dum. Solve for x, look down below for more info.

PLEASE HELP!! It's easy i'm just Dum. Solve for x, look down below for more info.

Answers

By using the fact that the two angles are vertical angles, we will write and solve a linear equation to fine that the value of x is 20.

How to find the value of x?

Here we assume that both of the horizontal lines are parallel. Then the two marked angles (the ones that depend of x) are vertical angles.

This means that the measure of these angles is the same one, then we can write:

(5x - 8)° = (3x + 32)°

So we can solve that linear equation to find the value of x, we will get:

5x - 8 = 3x  + 32

Grouping like terms we get:

5x - 3x = 32+ 8

2x = 40

x = 40/2

x = 20

The value of x is 20.

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Which of these are ways to measure a resting heart rate?
Select all that apply.

Answers

Answer:

Place the index and middle fingers on the neck to the side of the windpipe to find the pulse.

Place two fingers between the bone and the tendon over the radial artery of the wrist to find the pulse.

Step-by-step explanation:

I did a test and that was a correct answer.

In a running club there are 60 females and 70 males.
If a female is chosen at random, the probability she has blue eyes is 0.41
If a male is chosen at random, the probability he has blue eyes is 0.7
One person is chosen at random.
What is the probability that the person has blue eyes?
Give your answer as a decimal correct to 2 decimal places.

Answers

The probability that one person chosen has blue eyes is 0.57.

The given parameters:

Number of females, = 60 Number of males, = 70Probability of choosing a female with blue eyes, = 0.41Probability of choosing a male with blue eyes, = 0.7

The total number of female and male with blue eyes is calculated as;

Total female with blue eyes = 0.41 x 60 = 24.6

Total male with blue eyes = 0.7 x 70 = 49

Total blue eyes = 24.6 + 49 = 73.6

The probability that one person chosen has blue eyes is calculated as follows;

\(P = \frac{73.6}{60 + 70}\\\\P = \frac{73.6}{130} \\\\P = 0.566\\\\P \approx 0.57\)

Thus, the probability that one person chosen has blue eyes is 0.57.

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PLEASE HELP ME
Amira is asked to write an exponential function to represent the value of a $5,000 investment increasing at 4% annually. What multiplicative rate of change should Amira use in her funtion?

a
1.04
b
0.96
c
0.04
d
1.96

Answers

Answer:

c) 0.04 is the answer

I would be happy if you give brainliest

which of the following diagramming symbols represents an actor in a use case diagram? question 5 options: rectangle rectangle stick figure oval

Answers

Option C is correct- stick figure

An actor is usually drawn as a named stick figure, or alternatively as a class rectangle with the «actor» keyword.

What do you mean by Stick figure?

It a drawing that shows the head of a person or animal as a circle and all other parts as usually straight lines.

A use case diagram shows the interaction between the system and entities external to the system. These external entities are referred to as actors. Actors represent roles which may include human users, external hardware or other systems.

The use case model captures the requirements of a system. Use cases are a means of communicating with users and other stakeholders what the system is intended to do.

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During the 2013 Major League Baseball season, the St. Louis Cardinals averaged 41,602 fans per home game. Suppose attendance during the season follows the normal probability distribution with a standard deviation of 9,440 per game.


Required:

What is the probability that a randomly selected game during the 2013 season had an attendance greater than 50,000 people?

Answers

During the 2013 Major League Baseball season, the St. Louis Cardinals averaged 41,602 fans per home game. Attendance during the season follows the normal probability distribution with a standard deviation of 9,440 per game. The task is to find the probability that a randomly selected game during the 2013 season had an attendance greater than 50,000 people.

Using the formula for z-score, which is z = (X - μ) / σ, where X = attendance during the 2013 season, μ = the mean attendance during the season, and σ = the standard deviation during the season, we can solve for the probability. Substituting the given values in the formula, we get z = (50,000 - 41,602) / 9,440, which equals 0.8915.

The probability that a randomly selected game during the 2013 season had an attendance greater than 50,000 people is P(X > 50,000) = P(z > 0.8915) = 1 - P(z < 0.8915). We need to find the value of P(z < 0.8915) using a standard normal table. The value of P(z < 0.8915) is 0.8133.

Substituting the given value in the formula P(X > 50,000) = P(z > 0.8915) = 1 - P(z < 0.8915), we get P(X > 50,000) = 1 - 0.8133, which equals 0.1867. Therefore, the probability that a randomly selected game during the 2013 season had an attendance greater than 50,000 people is 0.1867.

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Which of the following situations does NOT illustrate combination?

a. Choosing 2 songs from 10 choices for an audition piece
b. Fixing the schedule of a group of students who must take exactly 8 subjects
c. Enumerating the subsets of a set
d. Selecting a committee of 5 members from 30 students

Answers

Answer:

Step-by-step explanation:

Permutation and combination is very important in our daily life. By using it, we can already distinguish or identify the different possible ways of the things that we get or have.

Permutation refers to the different possible arrangements of a set of objects and order is very important while combination is the number of ways of selecting from a set when the order is not important.

Which of the following situations does NOT illustrate combination?

a. Selecting 2 songs from 10 choices for an audition piece

b. Fixing the schedule of a group of students who must take exactly 8 subjects

c. Enumerating the subsets of a set

d. Identifying the lines formed by connecting some given points on a Plane

In this situations, we can determine if it is all combination or not. Let's find it out.

a. Selecting 2 songs from 10 choices for an audition piece - this situation does not require any order or arrangement. That's why letter A illustrates combination.

b. Fixing the schedule of a group of students who must take exactly 8 subjects - in fixing and arranging the schedule of a group of students, it must have to be in order so that they can determine their subjects every hour or period and everyday. The schedule must be arrange properly so that the students must not get confused. That's why in this situation the order and arrangement is very important and it shows the concept of permutation not combination.

c. Enumerating the subsets of a set - in enumerating we are not required to make it in order. We can list the subsets of a set in any order, that's why letter C illustrates combination.

d. Identifying the lines formed by connecting some given points on a Plane - we can connect different and many given points in any directions to have a Plane. It is not required to connect all the points in order so that we can form a Plane. Also, in identifying the lines, we can write and list it in any order and that the order is not important.

In conclusion, the situation that does NOT illustrate combination is situation B, because it is more on the concept of permutation not in combination.

The person above me is correct! The answer is B.

3. Which equation can not be derived from the equation given below?
b=(x+y)/ 2a

A.x=2a(b-y)
B. x+y-2ab=0
C. a= (x+y)/2b
D. 2ab-c

3. Which equation can not be derived from the equation given below? b=(x+y)/ 2aA.x=2a(b-y) B. x+y-2ab=0C.

Answers

Answer:

Option A is the correct answer

A.x=2a(b-y)

Step-by-step explanation:

Reason: 2a is not a coefficient of y.

Hope it helps you in your learning process.

what type of error occurs if you fail to reject h0 when, in fact, it is not true? group of answer choices either type i or type ii, depending on the level of significance type ii type i either type i or type ii, depending on whether the test is one-tailed or two-tailed

Answers

The type of error depends on the level of significance and whether the test is one-tailed or two-tailed.

The type of error occurs if you fail to reject H0 when, in fact, it is not true.

The type of error that occurs when one fails to reject H0 when, in reality, it is false is type II error.

Type II error is an error in which one accepts a null hypothesis that should be rejected.

This type of error is the opposite of type I error, where one rejects a null hypothesis that is true.

A type II error is a serious issue because it suggests that a significant difference exists, but the statistical test fails to detect it.

There are two types of errors associated with hypothesis testing, type I and type II errors, depending on the significance level of the test.

A type I error occurs when the null hypothesis is rejected when it is true.

A type II error happens when the null hypothesis is not rejected when it is false.

A type I error, also known as an alpha error, is caused by rejecting the null hypothesis when it is true.

It occurs when the significance level is set too high or when a statistical test is not performed correctly.

A type I error occurs when the observed value lies in the rejection region of the null hypothesis, and we reject the null hypothesis even though it is true.

In conclusion, when one fails to reject H0 when it is false, a type II error occurs. On the other hand, when one rejects H0 when it is true, a type I error occurs.

The type of error depends on the level of significance and whether the test is one-tailed or two-tailed.

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LMNP IS A RECTANGLE.FIND THE VAULE OF X AND THE LENGTH OF EACH DIAGONAL LN=7X-6ANDMP=4X+5

Answers

The value of x is 11/3.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

LMNP is a rectangle.

The length of the diagonals are:

(7x - 6) and (4x + 5)

Now,

The length of the diagonals is equal.

So,

7x - 6 = 4x + 5

7x - 4x = 5 + 6

3x = 11

x = 11/3

Thus,

x is 11/3.

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Lisa, Juan and isaac equally shared 1/2 of a cake which fraction of the whole cake did each of them recieve

Answers

Answer:

Each will receive \(\frac{1}{6}th\) of the cake.

Step-by-step explanation:

Let the amount of cake = c

Lisa, Juan and Isaac are the persons who are sharing half of a cake equally.

Number of persons = 3

Part of the cake shared = \(\frac{c}{2}\)

Fraction of the cake shared by each = \(\frac{\text{Amount of cake shared}}{\text{Number of persons who shared}}\)

                                                             = \(\frac{\frac{1}{2}c}{3}\)

                                                             = \(\frac{1}{6}c\)

Therefore, fraction of total cake shared by each member will be \(\frac{1}{6}\) of the total amount of cake.

A rectangle has an area of 40 square units. The length is
6 units greater than the width.
Mark this and return
What are the dimensions of the rectangle?
O 8 by 5
O 10 by 4
O11 by 9
O 13 by 7
Save and Exit
Next
Submit

Answers

The dimensions of the rectangle will be equal to 10 by 4.

A rectangle may be defined as the closed figure having four sides with the interior angles equal to 90°. it has two dimensions the length and the width. The area of a rectangle may be defined as the product of its length and width. According to the question the area of the rectangle is given as 40 square units. Let us assume the length as 'l' units and width as 'b' units. It is given that length is 6 units greater than the width that is l = (b + 6).

Now, the area of the rectangle = l×b

40 = (b + 6)×b

40 = b² + 6b

=> b² + 6b - 40 = 0

=> b = [-6 ± √(36 + 160)]/2

=> b = (-6 ± 14)/2

=>b = 4 units, since width cannot be negative.

Now, length = b + 6 = 10 units.

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HELP ASAP, GUITAR CLASS, WILL MARK FIRST ANSWER BRAINLIEST,

What is the name of the note shown above?

A
B
C
G

HELP ASAP, GUITAR CLASS, WILL MARK FIRST ANSWER BRAINLIEST,What is the name of the note shown above?

Answers

Answer:

C

Step-by-step explanation:

The spaces go F A C E. The note shown is C.

how much hamburger will it take to make 300

Answers

It would take 70 hamburgers

It all depends on how you want your hamburger. If you're serving it as a main dish, 300 hamburger patties (each around 4 ounces) should be plenty to feed 300 people. If you utilize hamburger meat as a topping or filler in a meal, you'll need a different amount.

What is arithmetic operation?

Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on. The four basic arithmetic operations are addition, subtraction, multiplication, and division. Arithmetic mean is a number calculated by dividing the sum of a set's elements by the number of values in the set.

Here,

It all depends on how you want to eat the hamburger. If you're serving it as a main course, 300 hamburger patties, each weighing around 4 ounces, should plenty to satisfy 300 people. It will need a different quantity of hamburger meat if you use it as a topping or filler in a dish.

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Complete question:

How much hamburger will it take to make 300 three oz patties with a 20% shrinkage?

hey! i’ll give brainliest thanks

hey! ill give brainliest thanks

Answers

Answer:

Cyrus defeated Medes and the Babylonians.

More Info:

By the 6th century BC, the Medes had built a large empire that included the Persians to the east and the Assyrians to the west. However, in 550 BC Cyrus the Great of Persia conquered the Medes, acquiring Assyria in the process.

please help!!
-91=6w-15w-19

What is w?

Answers

Answer:

\(\huge\boxed{\sf w = 8}\)

Step-by-step explanation:

\(\sf -91 = 6w - 15w - 19\\\\-91 = -9w-19\\\\Adding \ 19 \ to \ both \ sides\\\\-91 + 19 = -9w\\\\-72 = -9w\\\\Dividing \ both \ sides \ by \ -9\\\\-72 / -9 = w\\\\8 = w\\\\w = 8 \\\\\rule[225]{225}{2}\)

Hope this helped!

~AH1807

how does an expert system differ from conventional systems?

Answers

An expert system differs from conventional systems in that it incorporates knowledge and expertise in a specific domain to make intelligent decisions or provide recommendations.

Conventional systems are typically rule-based or algorithmic, where predefined rules or instructions are followed to process data or perform tasks. These systems are designed to handle specific functions but lack the ability to mimic human expertise or reasoning.

On the other hand, an expert system utilizes artificial intelligence (AI) techniques, such as knowledge representation, inference engines, and learning algorithms, to capture and apply human expertise in a particular domain. It relies on a knowledge base, which contains expert knowledge and rules, and an inference engine, which uses logical reasoning to draw conclusions or provide recommendations based on the given input.

The key distinction of an expert system lies in its ability to handle complex, knowledge-intensive tasks that would typically require human expertise. By emulating the decision-making processes of human experts, expert systems can analyze complex data, diagnose problems, offer solutions, and provide expert-level advice.

Expert systems have applications in various fields, including medicine, finance, engineering, and customer support. They enable organizations to leverage and preserve expert knowledge, enhance decision-making processes, and improve overall efficiency and accuracy.

In summary, expert systems differ from conventional systems by incorporating AI techniques to emulate human expertise, allowing them to handle complex tasks and provide intelligent recommendations. This makes expert systems particularly valuable in domains where expert knowledge is critical for decision-making and problem-solving.

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An expert system differs from conventional systems in terms of their knowledge base, reasoning and inference capabilities, adaptability, and domain-specificity.

An expert system is a computer program that mimics the decision-making ability of a human expert in a specific domain. It uses a knowledge base, which contains facts and rules, and an inference engine to provide intelligent solutions to complex problems. Expert systems are designed to handle complex and uncertain situations by using reasoning and inference techniques.

On the other hand, conventional systems are traditional computer programs that follow a predefined set of instructions to perform specific tasks. They do not possess the ability to learn or adapt like expert systems.

The main differences between expert systems and conventional systems are:

Knowledge base: Expert systems have a knowledge base that contains facts and rules about a specific domain. This knowledge base is used by the inference engine to make decisions. Conventional systems do not have a knowledge base.Reasoning and inference: Expert systems use reasoning and inference techniques to handle complex and uncertain situations. They can make decisions based on incomplete or uncertain information. Conventional systems do not have the ability to reason or infer.adaptability: Expert systems can learn and adapt over time. They can update their knowledge base based on new information or experiences. Conventional systems do not have the ability to learn or adapt.domain-specific: Expert systems are designed for specific domains, such as medicine, finance, or engineering. They have specialized knowledge in these domains. Conventional systems can be used in various applications and do not have specialized knowledge.Learn more:

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Volume of this triangular prism
21 mm base
38 mm
82 mm long
28 mm

Volume of this triangular prism21 mm base 38 mm82 mm long 28 mm

Answers

Answer:

43,624 mm cubed

Volume of Prisms Equation:

V=(Areabase)(height)

Volume of Triangular Prisms:

V=(1/2×base×height)(HEIGHT OF PRISM)

Step by Step Explanation:

V=(1/2×38×28)(82)

Cancelling:

cancel 2 and 28 making it 1 and 14

since the fraction is now 1/1 it is not needed

Back to Solving:

=38×14×82

=43,624 mm cubed

A disk with a radius of 0.1 m is spinning about its center with a constant angular speed of 10 rad/sec. What are the speed and magnitude of the acceleration of a bug clinging to the rim of the disk?

1) 10 m/s and 10 m/s^2

2) 1 m/s and 0 m/^2 (Disk spins at constant speed)

3) 0.1 m/s and 1 m/s^2

4) 1 m/s and 10 m/s^2

Answers

A disk with a radius of 0.1 m is spinning about its center with a constant angular speed of 10 rad/sec. The speed of the bug is equal to the tangential speed of a point on the rim of the disk, which can be given by: v = rωWhere:r = 0.1 m (the radius of the disk)ω = 10 rad/sec (the angular speed of the disk)Therefore, the speed of the bug is: v = rω= 0.1 m x 10 rad/sec= 1 m/s

The acceleration of the bug can be given by: a = rαWhere:α = α (angular acceleration)The angular acceleration is zero because the disk is spinning at a constant angular speed. Hence, the acceleration of the bug is zero or a = 0 m/s². Therefore, the correct option is option 2) 1 m/s and 0 m/s² (Disk spins at a constant speed).

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quizletmeasures of central tendency include all except: a. standard deviation b. median c. mean d. mode

Answers

Answer:

a. standard deviation

Step-by-step explanation:

Standard deviation measures the variation (how spread out the data is from the mean) of a data set.  

what is the square root of 18.3

Answers

Answer:

The square root of 18.3 would be: 4.27784992724

Step-by-step explanation:

What is 3x+4(x-8)-14

Answers

My answer I got 7x - 46

\(\bigstar\boxed{\large\bf\purple{\leadsto 7x -46}}\)

__________________________________________

\(\large\sf{\underline{Given:}}\)

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\sf{\longrightarrow 3x +4(x-8)-14}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\sf{\longrightarrow 3x+ 4x-32-14}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\sf{\longrightarrow 7x - 46}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

\(\large\sf{\underline{Hence,\:your\: answer\:is\:7x-46}}\)

Your quality ratings for this week are 88, 93, 70, 62 and 100 My average is

Answers

My average from the given data sets is 82.6

What is the average mean of a data set?

The average or mean of a data set is a measure of the data's central tendency. It is computed by the summation of all of the values in the dataset and then dividing the sum by the total number of values of the dataset.

The average or the mean of a data set is a good representation of the data as a whole because it takes into consideration all of the values in the data set.

From the given information:

My average =  (88 + 93 + 70 + 62 + 100)/5

My average = 413/5

My average is 82.6

Therefore, we can conclude that from the quality ratings, the average mean is 82.6

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8. An escalator in a mall must lift customers to a height of 22 ft. If
angle between the escalator stairs and the ground floor will be 30°, what will be the
length of the escalator?

Answers

The length of the escalator, considering the trigonometric ratios, is of

38.1 ft.

What are the trigonometric ratios?

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.

For the angle of 30º, we have that:

The adjacent side is the length.The opposite side is of 22 ft.

Hence the length of the escalator is obtained with the tangent as follows:

tan(30º) = 22/l

l = 22/tangent of 30 degrees

l = 38.1 ft.

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What is the period of the function f(x) shown in the graph?

Enter your answer in the box.

What is the period of the function f(x) shown in the graph?Enter your answer in the box.

Answers

period (T): the time it takes to travel one wave

= 2π - (-10π)

= 12π

If 9 movie tickets cost $18, what is the unit price of the
movie tickets?

Answers

Answer:

Step-by-step explanation:

the answer is 162 I now this because I took the quiz and got a 100% just for that answer so I hope this is helpful

Answer:

You can do it by dividing 18 by 9 and you would get 2.

ANSWER: 2

The parallel sides of a trapezoid are 12 inches and 18 inches long. The non-parallel sides meet when one is extended 9 inches and the other is extended 16 inches. How long are the non-parallel sides of this trapezoid?

Answers

A trapezoid is a four-sided polygon with two parallel sides and two non-parallel sides.

The two non-parallel sides are also known as legs. A trapezoid may have any two sides of different lengths, and it could be an isosceles trapezoid if the two non-parallel sides are equal in length. To solve this problem, we need to use the property that the non-parallel sides of a trapezoid are equal in length if and only if it is an isosceles trapezoid.The parallel sides of a trapezoid are 12 inches and 18 inches long. The non-parallel sides meet when one is extended 9 inches and the other is extended 16 inches. We need to find the length of the non-parallel sides of this trapezoid. Let's call the shorter non-parallel side x and the longer non-parallel side y.

Then, we can write two equations using the information given: y = x + 9 (because one side is extended by 9 inches)

y = x + 16

(because the other side is extended by 16 inches) Setting these two equations equal to each other,

we get: x + 9 = x + 16

Subtracting x from both sides, we get: 9 = 16,

This is a contradiction, which means there is no solution.  the length of the non-parallel sides of this trapezoid cannot be determined from the given information.

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(1 point) evaluate the triple integral ∫∫∫exyzdv where e is the solid: 0≤z≤4, 0≤y≤z, 0≤x≤y.

Answers

The value of the triple integral is (32/3)e - 32.

To evaluate the triple integral ∫∫∫ exyz dV over the solid E defined by 0 ≤ z ≤ 4, 0 ≤ y ≤ z, and 0 ≤ x ≤ y, we integrate in the order of dx, dy, dz:

∫∫∫ exyz dV = ∫0^4 ∫0^z ∫0^y exyz dxdydz

Integrating with respect to x, we get:

∫0^y exyz dx = eyz - e0yz = eyz - 1

Substituting this expression back into the integral and integrating with respect to y, we get:

∫0^4 ∫0^z ∫0^y exyz dxdydz = ∫0^4 ∫0^z [(eyz - 1)dy]dz

= ∫0^4 [(ezy^2/2 - y) |_0^z] dz

= ∫0^4 (ez^3/6 - z^2/2) dz

= e(4^4)/6 - (4^3)/2 - e(0)/6 + (0^3)/2

= (32/3)e - 32

Therefore, the value of the triple integral is (32/3)e - 32.

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