r= 2 csc(θ) - sec(θ). Convert to an equation in rectangular coordinates.

Answers

Answer 1

The equation in rectangular coordinates is:

y = 2x/(x + 1)

How to convert polar equation to rectangular equation?

To convert  polar equation to rectangular equation (or coordinates). Use the following relations:

x = rcosθ

y = rsinθ

r² = x² + y²

We have:

r= 2 csc(θ) - sec(θ)

Since csc(θ) = 1/sin(θ) and sec(θ) = 1/cos(θ)

We can say:

\(r = 2\cdot\frac{1}{sin\theta} - \frac{1}{cos\theta}\)

Also, sin(θ) = y/r and cos(θ) = x/r . Thus:

r = 2r/y - r/x

r = r(2/y - 1/x)

1 = 2/y - 1/x

2/y = 1 + 1/x

2/y = (x + 1)x

y(x + 1) = 2x

y = 2x/(x + 1)

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Related Questions

Please help, due today.

What is the slope of line a?
A) -4
B) 4
C) - ¼
D) ¼

Please help, due today.What is the slope of line a?A) -4B) 4C) - D)

Answers

Answer: c

Explanation: using rise over run method
rising -1 and running 4

What is the area of a rectangle if the length is (3x -5) inches and the width is (4x + 1) inches? What is the area of x=7?

Answers

Answer:

the area of rectangle is 12x²+17x-5

how do i respond to my brother....he sent this to me
T^T

how do i respond to my brother....he sent this to meT^T

Answers

Say “What the hell did you send me”

thissssssssssssssssssssssssss:

how do i respond to my brother....he sent this to meT^T

Evaluate 3^2 + (7 - 2) x 4 -6/3

Answers

Answer:

Answer:

Step-by-step explanation:

Evaluate 3^2 + (7 - 2) x 4 -6/3

Megan considers two different car rental options. One option costs $19 per day plus $0.12 per kilometre. Another option costs $42.50 per day for unlimited kilometres.
Compare the two options for a one-day rental. Which option should Megan choose? Why?

Give me answer in full explanation please!

Answers

Answer:

The $19 car

Step-by-step explanation:

For a one day rental I'd say its pretty average to only be driving for about 160km which is about 100 miles. For those 160km you would only be paying $19. The combined total $38, which is still less than the $42.50 car. The only way this would somewhat equal out is if you drove 200km or 124 miles. That would make the total cost exactly $43. If Meghan plans on driving equal to or more than 200km then she should choose the $42.50 car. In my opinion the $19 should be enough for 1 day.

What is the value for y?
Enter your answer in the box.

What is the value for y?Enter your answer in the box.

Answers

Answer:

angle A=angleB .…(समदिबाहु त्रिभुज भएर)

34°=(x-5)°

or, 34=34

angleA+angleB+angleC=180°

or, 34+34+4y=180

or, 68+4y=180

or, 4y=180-68

or, 4y=112

or, y=112÷4

or, y=28

What is the area of the figure
A 234 in
B 315 in
C 225 in
D 252 in

What is the area of the figure A 234 inB 315 in C 225 in D 252 in

Answers

D is the right answer one

Hay you over there
don't be sad
I will be there for you
I will never be mad
Don't ever say you are ugly
Because you are beautiful
I love it when you're giggly
and when you're joyful
You are perfect in every way
You are cute, funny, and smart
I miss you saying hay
without you I'm falling apart
Don't listen to the judgers
listen to your heart
You are perfect
you are you
and who you are meant to be
if you don't believe me
look into my eyes and you will see

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

I passed it on. now its your turn :)​

Hay you over theredon't be sad I will be there for youI will never be madDon't ever say you are uglyBecause

Answers

never going to left you go

never going to left you down

In assessment, statistical tools are used for: a. describing numbers. b. making inferences about numbers. c. drawing conclusions about numbers. d. all of these

Answers

Statistical tools serve the purpose of describing, making inferences, and drawing conclusions about numbers, making them essential in the assessment process. The correct answer is d.

Statistical tools play a crucial role in the assessment process by allowing us to describe, make inferences, and draw conclusions about numerical data. Statistical tools help in describing numbers by providing measures of central tendency (such as mean, median, and mode) and measures of variability (such as standard deviation and range). These descriptive statistics summarize the data and provide insights into its characteristics.

Statistical tools are used for making inferences about numbers. This involves using sample data to make predictions or generalizations about a larger population. Techniques such as hypothesis testing and confidence intervals enable us to draw conclusions about population parameters based on sample statistics.

Statistical tools are used to draw conclusions about numbers. Through data analysis, we can determine the relationships between variables, identify patterns or trends, and test the significance of findings. This allows us to make informed decisions or recommendations based on the evidence provided by the data.

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Need this question's answer.

Need this question's answer.

Answers

Answer:

1.2

2.4√3÷3

3. x=45, y=15

Step-by-step explanation:

OK,

1. So the first part requires the Pythagoreanism formula which is: b²=a²+c²:

AC²=AB²+BC²====> AC²=(1)²+(√3)²===> AC²=4===> AC=2

2.The second part requires the formula of tan:

tan A=BC÷AB===> tan A=√3÷1===> tan A=√3

tan C=AB÷BC===> tan C=1÷√3===> tan C=√3/3

tan A+tan C=√3+√3/3===> 4√3÷3

3.And the last part requires the equation of angles:

A+B+C=180===>

x+y+x-y+90=180===> 2x=90===> x=45, y=15

Nonverbal instruments have been developed primarily in an attempt to:a. assess skill related to mathematics.b. control for the influences of language and culture.c. measure children's pre-reading skills.d. assess issues that individuals cannot verbalize.

Answers

Nonverbal instruments have been developed primarily in an attempt to d. assess issues that individuals cannot verbalize.

The answer is d. Nonverbal instruments have been developed primarily to assess issues that individuals cannot verbalize. These instruments are often used in psychology and educational assessments to measure skills and abilities in areas such as mathematics, language, and pre-reading skills, while controlling for the influences of language and culture. Nonverbal instruments can be particularly useful for individuals who struggle with verbal communication or have language barriers.

The exchange of information between people without the use of spoken or written language is referred to as nonverbal communication. Facial expressions, eye contact, gestures, posture, body movements, tone of voice, and even the use of time and space are all included in this broad category of behaviors.

A lot of information about a person's emotional state, intentions, attitudes, and personality traits can be communicated nonverbally. A person's posture and body language, for instance, might show whether they are feeling confident or uneasy, and their tone of voice and facial expressions can show whether they are happy, angry, or sad.

A crucial component of human contact is nonverbal communication since it can improve our ability to understand others, establish rapport, and communicate.

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need help with this, either hexagon octagon, pentagon, or square

need help with this, either hexagon octagon, pentagon, or square

Answers

The regular octagon is the polygon perimeter is represented by graph.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Graph below shows the relationship between the side length(x) of a certain regular polygon and perimeter(y) of the polygon.

From the given graph, we have (0.5, 4) and (1.5, 12)

Slope(m)= (12-4)/(1.5-0.5)

m=8

Substitute m=8 and (x, y)=(0.5, 4) in y=mx+c, we get

4=8(0.5)+c

c=0

So, the equation is y=8x.

Therefore, the regular octagon is the polygon perimeter is represented by graph.

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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

Answer:

2 vertically and -11 horizontally

Explanation:

the graph shifts 2 vertically and -11 horizontally

note: vertically is up ↑ and bottom ↓ , horizontal is right → and left ←

2 vertical and -11 horizontal.

Take one point of 1 (I chose the bottom left corner) and move up (vertical) two times, and left eleven times (horizontal).

The equation would be (x-11, y+2)

2w+4w+3=8-5w+6

solve pls. no links!!!​

Answers

the answer is w=1 your welcomw

Answer:

w = 1

Step-by-step explanation:

2w + 4w + 3 = 8 - 5w + 6

combine like terms:

6x + 3 = 14 - 5w

add 5w to each side of the equation:

11w + 3 = 14

subtract 3 from each side:

11w = 11

divide both sides by 11:

w = 1

Suppose passengers arrive at a bus stop according to PP(X). Buses leaves the stop at times, T, 27, 3T.... etc. where T > 0 is a fixed number. Assume that the bus capacity is sufficient so that when a bus leaves, there are no more passengers waiting at the stop. What is the average waiting time of the passengers?

Answers

The average waiting time of passengers at a bus stop is calculated using the arrival process and the departure times of the buses.

Let's denote the rate of the Poisson process as λ, which represents the average number of passengers arriving per unit of time. The interarrival times between passengers will follow an exponential distribution with parameter λ.

Since the buses leave at regular intervals of T, we can consider each interval of T as a cycle. Within each cycle, the average waiting time for passengers will be T/2, as on average, a passenger would wait half of the cycle time before boarding the bus.

However, it's important to note that passengers arriving during the cycle time will have different waiting times. Some may arrive at the start of the cycle and wait for the entire duration of T, while others may arrive just before the bus departure time and have a waiting time close to zero.

To calculate the average waiting time, we need to consider the probability distribution of arrival times within the cycle and the expected waiting time within that interval. This calculation involves integrating the probability density function of the arrival process over the cycle time and averaging the waiting times accordingly.

The exact calculation will depend on the specific distribution of the arrival process, such as exponential or Poisson distribution, and the specific departure time pattern of the buses.

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k(x)=6x+100
k(-5)=
please help me with this problem

Answers

The answer to this equation is K(-5) = 70
6(-5)+100
-30+100
70

Multiply the polynomial.

(4x+2)(x-2)

PLEASE HELP!!! ASAP!!!

Answers

Answer:4x2−6x−4

Step-by-step explanation:

(4x+2)(x−2)

=(4x+2)(x+−2)

=(4x)(x)+(4x)(−2)+(2)(x)+(2)(−2)

=4x2−8x+2x−4

=4x2−6x−4

Answer:

(4x+2)(x-2)

= 4x(x-2) +2(x-2)

=4x^2-8x + 2x-4

=4x^2 - 6x -4

Each container as twice as many lollipop as each packet. If there were 721 lollipop in 2 containers and 3 packets find the number of lollipop in a container.

Answers

The number of lollipops in a container is 206.

How to determine the number

These are steps to find the number of lollipops in a container:

1. Let x be the number of lollipops in a packet and 2x be the number of lollipops in a container.

2. According to the given information, we have the equation: 2(2x) + 3x = 721

3. Simplify the equation: 4x + 3x = 721 7x = 721

4. Solve for x: x = 103

5. Substitute x back into the equation to find the number of lollipops in a container: 2x = 2(103) = 206 Therefore, the number of lollipops in a container is 206.

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Which values of x satisfy the inequality 0. 5 x minus 0. 75 greater-than-or-equal-to 3. 25 x greater-than-or-equal-to 5 x less-than-or-equal-to 5 x less-than-or-equal-to 8 x greater-than-or-equal-to 8.

Answers

To solve the problem we should know about Expressions.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of x in the inequality should be ≥8.

Given to us

(0.5x - 0.75) ≥ 3.25

Solve the inequality,

\((0.5x - 0.75) \geq 3.25\\\\0.5x \geq 3.25+ 0.75\\\\0.5x\geq 4\\\\x\geq \dfrac{4}{0.5}\\\\x\geq 8\)

Hence, the value of x in the inequality should be ≥8.

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d²v dt² v=2t² +7t+11 Find

Answers

The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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Drag the labels to the correct locations on the table. Each label can be used more than once.
Match each function to all of the function types it belongs to.


Linear
Quadratic
Exponential
Polynomial
ments
f(x) = 2x +3
f(x) = x2 + 2x - 3
f(x) = 3x-2

Answers

Answer:

first one linear

second one quadratic

linear

Step-by-step explanation:

Answer:

f(x)=2x+3 is linear and polynomial

f(x)=x^2+2x= -3 quadratic and polynomial

f(x)=3^3 - 2 is exponential

Step-by-step explanation:

What are the first 3 consecutive odd numbers?

Answers

The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled. A) 60 B) 50 C) 7.1 D) 5.9

Answers

The number of 3s that will be rolled when dice is rolled 360 times will have a standard deviation of 7.1.

Define standard deviation.

The standard deviation (or ) is a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

What does standard deviation tells you?

The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean.

Let X = the total number of 3s produced by rolling the die 360 times. As a result, the number of 3s that will be rolled will have a standard deviation of 7.1.

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What is the greatest common factor of 42, 30, and 45

Answers

Answer:

3

Step-by-step explanation:

Express the numbers as a product of their primes.

42 = 2 × 3 + 7

30 = 2 × 3 × 5

45 = 3 × 3 × 5

Identify the prime factors common to all 3 numbers.

common prime factor = 3 , thus

GCF = 3

Answer: 3

Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 45 are 1, 3, 5, 9, 15, 45

As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.

The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. What is the 99th percentile for the mean height of a random sample of 20 adult women?.

Answers

The 99th percentile for the mean height of a random sample of 20 adult women is approximately 68.7 inches, which is 3.7 inches above the mean of 65 inches.

The 99th percentile for the mean height of a random sample of 20 adult women can be calculated using the normal distribution. The normal distribution is a bell-shaped curve that describes the probability of a given event occurring. In this case, the mean and standard deviation of the height of adult women is used to calculate the probability of the mean height of a sample of 20 adult women being a certain value. For the 99th percentile, this means that the probability of the mean of the sample of 20 adult women being equal to or less than the value of 68.7 inches is 99%. This value is 3.7 inches above the mean of 65 inches, which is the expected mean height of adult women.

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Mason earns $17.65 per hour. He worked 40 hours last week. What was his straight time pay?

Answers

Answer:

$706

Step-by-step explanation:

$17.65 per hour

40 hours worked

17.65 · 40 = $706

Hope this helps and God bless!

If the coordinates of a point have the same sign, which qudrant(s) could the point be in?

Answers

Answer:

3rd

Step-by-step explanation:

x & y are both negative in 3rd

selected reference a8 that describes an or study done for the rijkswaterstaat of the netherlands. describe an important lesson that was gained from model validation in this study.

Answers

In a study conducted for Rijiswaterstaat of the Netherlands (reference A8), an important lesson was learned from model validation.

In the referenced study conducted for Rijkswaterstaat of the Netherlands, model validation likely played a crucial role in assessing the accuracy and reliability of the implemented models. Model validation involves comparing the model's predictions or outputs with real-world data or observations to determine its effectiveness.

An important lesson that could have been gained from model validation in this study is the significance of ensuring that the model adequately represents the real system or phenomenon being studied. The validation process may have revealed any discrepancies or limitations in the model's performance, highlighting areas where improvements or adjustments were needed.

This lesson underscores the importance of rigorous validation procedures to enhance the model's accuracy and provide more reliable results. It also emphasizes the need for continuous evaluation and refinement of models to ensure they align with real-world conditions, enabling better decision-making and planning in the context of Rijkswaterstaat's activities.


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If you work 40 hours in a week and make $800. If the how much money you will make varies directly
with hours you work, how much will you make if you work 60 hours?

Answers

Answer:

$1200

Step-by-step explanation:

20 hours makes $400

so when you add 20 hours to 40 hours its basically adding $400 to $800

Rectangles ABCD and WXYZ are similar, but not congruent. Which sequence of transformations could map ABCD to WXYZ?
Transformations
rotation, dilation
rotation, reflection
translation, dilation
translation, reflection

Answers

For all the given sequence of transformations, Rectangles ABCD and WXYZ will be similar.

What is the difference between upward, downward, leftwards and rightwards translation?

Upward translation = [k] units -When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation = [k] units - When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward Translation = [k] units - When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward Translation = [k] units - When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the right.

It is given that Rectangles ABCD and WXYZ are similar, but not congruent.

For all the transformations given represents the similar rectangles. Dilations, rotations, translations and reflections all lead to similar figures.

Therefore, for all the given sequence of transformations, Rectangles ABCD and WXYZ will be similar.

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