find a minimum value for the radius of convergence of a power series solution about x=0 y''-(tanx)y' y=0

Answers

Answer 1

Given differential equation:y'' - (tan x) y' + y = 0We have to find the minimum value for the radius of convergence of a power series solution about x = 0.

To find the solution, we will assume that the power series solution is of the form:y(x) = Σ aₙxⁿ; and y'(x) = Σ naₙxⁿ⁻¹; and y''(x) = Σ n(n - 1) aₙxⁿ⁻².Substituting the given expressions for y, y', y'' into the differential equation, we get:Σ n(n - 1) aₙxⁿ⁻² - Σ (tan x) naₙxⁿ⁻¹ + Σ aₙxⁿ = 0Σ [n(n - 1) - n(tan x)] aₙxⁿ⁻² + Σ aₙxⁿ = 0Σ [n(n - tan x) - n] aₙxⁿ⁻² + Σ aₙxⁿ = 0Σ (n - n tan x) aₙxⁿ⁻² + Σ aₙxⁿ = 0Σ n(1 - tan x) aₙxⁿ⁻² + Σ aₙxⁿ = 0Σ n aₙxⁿ⁻² = - Σ aₙxⁿ / (1 - tan x)Thus, the recurrence relation for the coefficients aₙ is given by:aₙ = - aₙ₋₂ / [n(n - 1) - n tan x];

where a₀ and a₁ are arbitrary constants.Now, to find the radius of convergence, we can use the ratio test. The ratio test states that the power series converges if:|aₙ₊₁ / aₙ| < 1as n → ∞Therefore, let's apply the ratio test here:|aₙ₊₁ / aₙ| = [aₙ₊₁ / aₙ]²= [(n - 1) - (n - 1) tan x] / [n(n - tan x)]²≤ 1as n → ∞; since the denominator is always positive.So, the power series solution converges for all x such that|(n - 1) - (n - 1) tan x| ≤ [n(n - tan x)]²

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Related Questions

4 marks] If Θˆ 1 and Θˆ 2 are unbiased estimators of the same parameter θ, what condition must be imposed on the constants k1 and k2 so that k1Θˆ 1 + k2Θˆ 2 is also an unbiased estimator of θ?

Answers

For k1Θ¹ + k2Θ² to be an unbiased estimator of θ, the condition that must be imposed on the constants k1 and k2 is that k1 + k2 = 1.

Let Θ¹ and Θ² be two unbiased estimators of the same parameter θ. Then, we have E(Θ¹) = θ and E(Θ²) = θ. Now, let k1Θ¹ + k2Θ² be a linear combination of these two estimators, where k1 and k2 are constants.

To show that this estimator is unbiased, we need to find its expected value and verify whether it equals θ.

So, E(k1Θ¹ + k2Θ²) = k1E(Θ¹) + k2E(Θ²)

= k1θ + k2θ

= (k1 + k2)θ

For this estimator to be unbiased, we need (k1 + k2)θ to equal θ. Therefore, we must have k1 + k2 = 1.

Therefore, to ensure that k1Θ¹ + k2Θ² is an unbiased estimator of θ, we need to impose the condition that k1 + k2 = 1.

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a mountain climber has made it 80% of a mountain if they have climbed 3200 meters how tall is the mountain

Answers

a mountain climber has made it 80% of a mountain if they have climbed 3200 meters how tall is the mountain
a mountain climber has made it 80% of a mountain if they have climbed 3200 meters how tall is the mountain

PLEASE ASAP I HAVE ONLY 30 MINUTES READ THE INSTRUCTIONS DONT DO WHATEVER
Your second post will be a reply to one of your classmate’s initial posts. Comparing and contrasting , your initial post and your classmate’s initial post, what do you agree on and what do you disagree on in terms of your responses. The post should be a minimum of 100 words. Draw from and cite sources made in each of the posts to support your points.
MY POST RESPONSES:
A research project has the purpose of evaluating potential brand names for a new app.
In this situation, the most suitable type of exploratory research can be the Pilot survey. This is because, in this case, the company can select 3-4- brand names and then use these brand names in promoting the new app among the selected and limited group of prospective customers and see how these brand names affect their attitude, buying behavior and appeal towards the app
An advertiser wishes to identify the symbolism associated with posting selfies online.
In this case, the focus group can be used where the selected number of respondents can be grouped, and then the questions can be asked about the reasons and symbolism associated with posting selfies online. As per the response provided by these people, the researcher can identify the factors behind the symbolism associated with posting selfies online. ''There’s nothing more important than the opinion of the masses when it comes to marketing.'' (Max Freedman, 2020)
Searching for ideas for new smartphone or tablet applications.
In this case, detailed interviews with the target customers groups can be used. The company can survey the target market and try to find the type of features, functions, and operationality that customers are looking for in the new smartphone or tablet applications. Depending on the outcome of these, a new smartphone or tablet application can be developed. "help decision-makers confront problems through direct interaction with computerized databases and systems" (Babin, 2019)
CLASSMATE POST:
1. The initial research for brand names for a new app should come directly from focus groups. Babin (2019) writes, "Focus groups allow people to discuss their true feelings, anxieties, and frustrations, as well as the depth of their convictions, in their own words" (120). It will allow for input from people from different demographics to share their opinions in an unbiased manner.
2. This kind of research would require depth interviews because the answer to this question will be deeper than surface level. Individuals might not exactly know why they use symbolism or what the selfies stand for. By asking a series of questions the researchers should be able to probe and uncover true intentions.
3. In searching for ideas for a new smartphone and tablet application making an attribute list could be helpful. A journal from produced by faculty at the University of Illinois says, " Attribute listing refers to taking an existing product or system, breaking it into parts and then recombining these to identify new forms of the product or system (Herring et al, 2009, p. 5). This would allow current applications to inspire ideas for a new one.

Answers

While there is agreement on the use of focus groups for evaluating brand names, there are differences in the methods proposed for identifying symbolism associated with posting selfies and searching for ideas for new applications.

In comparing my initial post with my classmate's initial post, there are both areas of agreement and disagreement regarding the research methods suggested for different scenarios.

Agreement:

Both my initial post and my classmate's post agree on the use of focus groups for evaluating potential brand names for a new app. Focus groups allow for gathering opinions and insights from individuals in a controlled environment, as my classmate mentioned. I also referenced Babin (2019) to support this method.

Disagreement:

In terms of identifying the symbolism associated with posting selfies online, I suggested using detailed interviews, while my classmate proposed depth interviews.

While both methods aim to uncover deeper motivations and intentions, my classmate specifically highlighted the need for probing and asking a series of questions. Both approaches can provide valuable insights, but the emphasis on depth interviews suggests a more targeted and focused approach.

For searching for ideas for new smartphone or tablet applications, I suggested conducting detailed interviews with target customer groups, while my classmate proposed creating an attribute list.

While my suggestion focuses on gathering specific customer preferences and needs through direct interaction, my classmate's suggestion of attribute listing involves breaking down existing products and recombining their attributes to generate new ideas. These are two different approaches to idea generation, and the choice depends on the specific context and objectives of the research.

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Three friends participate in the loyalty program at a local coffee shop. A participant in the program earns points for each visit that can be used to get drinks and food for free. The graph below shows the point balances of the three friends over several weeks?

help me it's the 23 and the 24 please.

Three friends participate in the loyalty program at a local coffee shop. A participant in the program

Answers

Answer:

On the graph, the point balances for the three friends on the 23rd week are:

- Friend A: 60 points

- Friend B: 80 points

- Friend C: 40 points

On the 24th week, the point balances are:

- Friend A: 80 points

- Friend B: 100 points

- Friend C: 60 points

It looks like all three friends are earning points and increasing their balances over time. Friend B seems to be earning points at a faster rate than the other two friends, as their balance is consistently higher. Friend C has the lowest balance, but is still earning points and increasing their balance.

Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? O A. The result from part a, since it is the exact probability being asked. O B. The result from part a, since it less than the probability of the given or more extreme result. OC. The result from part b, since it is the complement of the result of part a. OD. The result from part b, since it is the probability of the given or more extreme result.

Answers

The relevant probability for determining whether 6 is a significantly high number of girls in 8 births is the result from part (b): The result from part b, since it is the complement of the result of part a.

In statistics, when evaluating whether an observed result is significantly high or low, we often compare it to a specified level of significance. In this case, we are comparing the observed number of girls (6) in 8 births to determine if it is significantly high.

In part (a), we calculate the exact probability of having 6 or more girls in 8 births using the binomial probability formula. Let's say this probability is p.

In part (b), we calculate the complement of the result from part (a), which is the probability of having 5 or fewer girls in 8 births. This probability is 1 - p.

To determine whether 6 is a significantly high number of girls, we compare the result from part (b) with the specified level of significance. If the result from part (b) is less than the specified level of significance, it suggests that 6 is significantly high. Otherwise, it is not significantly high.

The relevant probability for determining whether 6 is a significantly high number of girls in 8 births is the result from part (b), which is the complement of the result from part (a). By comparing the probability of having 5 or fewer girls (result from part b) with the specified level of significance, we can assess whether 6 is significantly high or not. It is important to consider the complement of the result in order to evaluate both ends of the probability distribution and make a meaningful determination about the significance of the observed outcome.

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Lucas bought an eight pack of bottled iced tea. Each bottle contains 14.75 fluid ounces what was the total number of fluid ounces in all of the bottles?​

Answers

Answer:

118 ounces

Step-by-step explanation:

14.75 • 8 = 118

as part of video game, the point (5,2) is rotated counterclockwise about the origin through an angle of 5 degrees. find the new coordinates of this point

Answers

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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for her phone service, rita pays a monthly fee of , and she pays an additional per minute of use. the least she has been charged in a month is .

Answers

The least amount Rita has been charged in a month is her monthly fee is f.

Given that Rita pays a monthly fee of $f and pays an additional $p per minute of use. The least she has been charged in a month is $c. Let the total number of minutes Rita used in a month be m, then her monthly cost can be calculated as: $c = f + mp

To find the least amount Rita has been charged in a month, we need to minimize the value of c. This is achieved by minimizing the value of m, the total number of minutes Rita used in a month.

If Rita doesn't use her phone at all, the cost of the monthly fee, f, would be the least amount she has been charged in a month.

Hence,
\($c_{min} = f$$f = f + mp_{min} ⇒ mp_{min} = 0$\)

Therefore, f is the least amount Rita has been charged as monthly fee.

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Find the slope of the line through the given points. (3,4) and (8,-3)

Answers

Answer:

The slope is -7 / 5

a ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls. find the probability of the given event.

Answers

If a ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls, the probability of drawing a red ball from the jar is approximately 0.47 or 47%.

The probability of a red ball being drawn from the jar can be calculated as follows:

Total number of balls in the jar = 8 red + 3 white + 6 yellow = 17

Probability of drawing a red ball = (Number of red balls in the jar) / (Total number of balls in the jar) = 8/17 ≈ 0.47

This means that if we were to draw a ball from the jar randomly, there is a 47% chance that the ball we draw will be red.

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Complete question is:

A ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls. find the probability of the given event.

What is what is the probability of a Red ball being drawn?

Can someone help me understand this?​

Can someone help me understand this?

Answers

Well if we have two angles, LMT and TMN, that make up LMN, then the sum of LMT and TMN should equal LMN.

144 + 23 = 167 degrees.

Hope this helps!

Coffee costs $12 per case and tea costs $8 per case. If an order comes in for a total of 250 cases for $2,600, what was the specific number of cases of tea?

Answers

The number of cases of tea in the order was 100.

Let's assume that x represents the number of cases of coffee and y represents the number of cases of tea.

We know that the total number of cases in the order is 250,

so x + y = 250.

We also know that the total cost of the order is $2,600, so 12x + 8y = 2,600.

We can use substitution to solve for y: x = 250 - y, so we can substitute (250 - y) for x in the second equation:

12(250 - y) + 8y = 2,600

3,000 - 12y + 8y = 2,600

4y = 400

y = 100

Therefore, there were 100 cases of tea in the order.

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What is the GCF of 12 and 48​

Answers

12 is the gcf of 12 and 48
For both of them is 12

From midnight to 7:00 am, the temperature dropped 0.8°C

temperature at 7:00 am was 4.4 deg * C what was the temperature at midnight?

Answers

Answer:

5.2

Step-by-step explanation:

add back 0.8 from 7 am temp which is 4.4 degrees.

Answer:

5.2 °C

Step-by-step explanation:

4.4°C + 0.8°C = 5.2°C

Help I will Give Brainliest if Correct!

Help I will Give Brainliest if Correct!

Answers

Answer:

8.5 units

Step-by-step explanation:

(-1, 1) squared + (7,4) squared = formula

Distance 8.5 is rounded to the nearest 10

Help I will Give Brainliest if Correct!

Classify the polynomial as a monomial, binomial, trinomial, or none of these. x2 - 10x + 25

Answers

It is a trinomial because it follows the pattern of x^2 + bx + c. In this case, x^2 - 10x + 25. Also, it only has three numbers and two operation symbols, signifying a trinomial (three = tri).

PLS I RLLY NEED HELP I MIGHT GIVE BRAINLIEST Just pls help

What is the equation in slope-intercept form of a line that is perpendicular to y=1/3x+2 and passes through the point (3, 1)?
A) y= 3x - 10
B) y=-3x + 10
C) y=-1/3x+2
D) y= 1/3x - 10

Answers

Answer:

y=3x-7

step by step explaination:

Answer:

not an answer but nice pfp

!GIVNG BRAINLIEST PLEASE HELP!

Part A
List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches.

!GIVNG BRAINLIEST PLEASE HELP!Part AList the simple shapes into which you divided shape C, and measure

Answers

Step-by-step explanation:

I'm assuming the shape given is called 'Shape C'

The shapes which the figure is divided into are- 2 rectangles and a triangle.

The Measurements of all of their sides? Lets start with Rectangle X- the sides are given it seems- 2 in, 1 in, 2 in, 1 in. Rectangle Y's sides are divided into 3 in and 2 in. And lastly the Triangle is 1 in, 2 in and 2 in. (The hypotenuse is 2 because 2^2  +1^2= 4 and sqrt 4 is 2)

I don't exactly understand what they are asking so I'm also gonna tell you the perimeter of shape c. It's 1+2+1+2+4+2+1 = 13 in

I'm sorry If I didn't answer the question right...

Answer:

1 + 2 + 1 + 2 + 4 +2 + 1 = 13

Step-by-step explanation:

have a great day

an experiment is performed and four events (a, b, c, and d) are defined over the set of all possible outcomes. the probabilities of the four events and their intersections are:which pair of states are independent?

Answers

To determine which pair of events are independent, we need to check if the probability of their intersection is equal to the product of their individual probabilities. If the two probabilities are equal, the events are independent; otherwise, they are dependent.

Using the probabilities given, we can calculate the probabilities of the individual events:

P(a) = 0.4

P(b) = 0.3

P(c) = 0.2

P(d) = 0.1

We can also calculate the probabilities of the intersections of the events:

P(a ∩ b) = 0.1

P(a ∩ c) = 0.1

P(a ∩ d) = 0.1

P(b ∩ c) = 0.05

P(b ∩ d) = 0.05

P(c ∩ d) = 0.01

Now, we can check the pairs of events for independence:

1. Events a and b:

P(a) * P(b) = 0.4 * 0.3 = 0.12

P(a ∩ b) = 0.1

Since P(a ∩ b) is not equal to P(a) * P(b), events a and b are dependent.

2. Events a and c:

P(a) * P(c) = 0.4 * 0.2 = 0.08

P(a ∩ c) = 0.1

Since P(a ∩ c) is greater than P(a) * P(c), events a and c are dependent.

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3. Events a and d:

P(a) * P(d) = 0.4 * 0.1 = 0.04

P(a ∩ d) = 0.1

Since P(a ∩ d) is greater than P(a) * P(d), events a and d are dependent.

4. Events b and c:

P(b) * P(c) = 0.3 * 0.2 = 0.06

P(b ∩ c) = 0.05

Since P(b ∩ c) is not equal to P(b) * P(c), events b and c are dependent.

5. Events b and d:

P(b) * P(d) = 0.3 * 0.1 = 0.03

P(b ∩ d) = 0.05

Since P(b ∩ d) is not equal to P(b) * P(d), events b and d are dependent.

6. Events c and d:

P(c) * P(d) = 0.2 * 0.1 = 0.02

P(c ∩ d) = 0.01

Since P(c ∩ d) is not equal to P(c) * P(d), events c and d are dependent.

Therefore, none of the pairs of events are independent.

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An introductory section is always helpful in introducing the research methods and presenting the statistical calculations. 1 point false. True

Answers

The statement is subjective and can depend on the purpose and scope of the research. However, in general, an introductory section is helpful in presenting the research methods and statistical calculations.

The introductory section provides an overview of the study, including the research question, objectives, and hypotheses. It also explains the significance of the study and its contribution to the existing knowledge in the field. Additionally, it outlines the methodology used in the study, including the research design, sampling techniques, data collection methods, and statistical analysis techniques.

The introductory section also presents the statistical calculations used in the study. It should explain the statistical methods used to analyze the data, including descriptive statistics, inferential statistics, and any other advanced statistical techniques. The statistical calculations should be presented in a clear and concise manner, including the formulas used and the interpretation of the results. The introductory section should also provide the reader with an understanding of the statistical assumptions made in the study and any limitations to the study's findings.

Overall, an introductory section is an essential component of a research report as it provides the reader with an overview of the study and helps them understand the methodology and statistical calculations used.

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Richie's average on his math tests was 64%. On the next test he had a mark of 76%, and this raised
his overall average to 67%. When he wrote the next test after this his average improved again by
1%. What mark did he get on the last test?
A) 68%
B) 69% C) 70%
D) 71% E) 72%

Answers

Answer:

68

Step-by-step explanation:

the average of 8 girls is 15 and the average of 6 girls is 13 find the average of the other two girls with equal age​

Answers

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

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

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

A trapezoid has bases of lengths 14 and 21. Find the trapezoid's height if it's area is 245

Answers

Answer: 8575/2

Step-by-step explanation:

5+3+2 = 151022 9+2+4 =183652 8+6+3 =482466 5+4+5 =202541 Then...... 7+2+5 =?????? REPLY MUST PROVE YOU ARE GENIUS!!!! (100pts)

Answers

Answer:

7 + 2 + 5 = 143547

Step-by-step explanation:

a + b + c = [a · b][a · c][a · b + a · c - b]

The first two digits of the answer are the product of the 1st and 2nd terms of the question.

The 3rd and 4th digits of the answer are the product of the 1st and 3rd terms of the question.

The 5th and 6th digits of the answer are the sum of the products of the 1st & 2nd terms and the 3rd & 4th terms of the answer minus the 2nd term of the question.

7 + 2 + 5 = [7 · 2][7 · 5][7 · 2 + 7 · 5 - 2]

               = 143547

\(\small \bold{ 5+3+2=151022}\)

Multiply first two digits

\(\small \bold{ 5×3=15}\)

Multiply first and third digit

\(\small \bold{5×2=10 }\)

Add two number and subtract middle digit

\(\small \bold{15+10-3(middle \: digit)=22 }\)

Join three answers to get 151022

Similarly,

\(\small \bold{7+2+5=? }\)

\(\small \bold{ 7×2=14}\)

\(\small \bold{ 7×5=35}\)

\(\small \bold{ 14+35-2=47}\)

Joining them gets 143547

So ,

\(\small \bold{7+2+5=143547 }\)

Find the lenght of side BC. give your answer to 3 significant figures

Find the lenght of side BC. give your answer to 3 significant figures

Answers

Answer:

BC ≈ 19.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{BC}\) = \(\frac{6.3}{BC}\) ( multiply both sides by BC )

BC × cos71° = 6.3 ( divide both sides by cos71° )

BC = \(\frac{6.3}{cos71}\) ≈ 19.4 cm ( to 3 significant figures )

Sherry has 15,200 dollars to invest in mutual funds and in bonds. Sherry has selected a mutual fund that earns 1% a year and a bond that earns 4% a year. If she wants to earn 548 at the end of the first year, how much does she need to invest in each type of account?


please answer ! I’ll give brainliest mark thing.

Answers

Sherry needs to invest $2000 in a mutual fund that earns 1% interest a year and $13200 in a mutual fund that earns 4% interest a year.

According to the question,

We have the following information:

Amount to be invested = $15200

Interest earned 1% a year and 4% a year

Total amount interest to be earned at the end of first year = $548

Now, let's take the amount to be invested in 1% interest a year's mutual fund to be $x.

Then, we have the amount to be invested in mutual fund that earns 4% a year:

$(15200-x)

So, we have the following expression by removing percentage sign:

x/100 + (15200-x)4/100 = 548

Taking 100 as the least common factor and using the cross multiplication method:

x+60800-4x = 548*100

-3x = 54800-60800

-3x = -6000

x = 6000/3

x = $2000

Now, the amount invested in second mutual fund:

15200-2000

$13200

Hence, Sherry needs to invest $2000 in a mutual fund that earns 1% interest a year and $13200 in a mutual fund that earns 4% interest a year.

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Find the measure of an angle between 0° and 360° coterminal witheach given angle. 500°

Answers

The measure of an angle between 0° and 360° coterminal with 500° is -220° and 500°.

We need to subtract or add a multiple of 360° to 500° until we get an angle within the given range.

To find the coterminal angle less than 500°, we subtract multiples of 360°:
500° - 360° = 140°
Since 140° is still greater than 360°, we subtract another 360°:
140° - 360° = -220°
Now we have a coterminal angle -220° that is within the range of 0° to 360°.

To find the coterminal angle greater than 500°, we add multiples of 360°:
500° + 360° = 860°
Since 860° is greater than 360°, we subtract another 360°:
860° - 360° = 500°
Now we have a coterminal angle 500° that is within the range of 0° to 360°.

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6/8 simplified
trying to help my sister

Answers

Answer:

the answer is 3/4

Step-by-step explanation: 6/8 divided by 2 is 3/4

I need help I'm so confused

I need help I'm so confused

Answers

Answer:

Yeah me too buddy :(

Step-by-step explanation:

Help, please. A museum charges a $6 admission fee for every person (btw there's 4 people). Write an equation to represent the relationship between the number of people x, and the total collected, y.

Answers

Answer:

y = 6x

Step-by-step explanation:

if its $6 per person, each new person is gonna chagre $6

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Lines e and f are parallel. the mangle9 = 80 and mangle5 = 55. parallel lines e and f are cut by transversal c and d. all angles are described clockwise, from uppercase left. where lines e and c intersect, the angles are: 1, 2, 4, 3. where lines f and c intersect, the angles are 5, 6, 8, 7. where lines e and d intersect, the angles are 9, 10, 12, 11. where lines f and d intersect, the angles are 13, 14, 16, 15. which angle measures are correct? select three options. mangle2 = 125 mangle3 = 55 mangle8= 55 mangle12 = 100 mangle14 = 100 many air fresheners are in solid form at normal atmospheric pressure and room temperature. however, they undergoes sublimation (changes from solid to gas phase) when heated to release fragrant scents, such as when they are plugged into an electrical outlet. according to the second law of thermodynamics, what must be true about entropy changes in this example? You made a contribution of $ into your traditional ira. You are in the % marginal tax bracket. How much did you reduce your income taxes by making this traditional ira contribution?. a(n) ____ links each page with the pages that follow and precede it. Petra claims that he can use the Associative Property of Multiplication to rewrite (9.5 x 9) + 1 as 9.5 X 10. Is Petra correct? Explain. Maximum speed in a 200 meter radius turn, in mph Limited by front tires, which can generate a maximum force at 4 deg of slip of muNf = mu(1-k)mg - 6170 N. Setting this equal to the front cent force of mv^2/R(1-k), V - 57.7 m/s - 129 mph. Casio Co. recognizes construction revenue and expenses using the percentage-of-completion method. During 2023, a single long-term project was begun, which continued through 2025. Information on the project followsSelect one:a.$139,000b.$452,000c.$187,000d.$152,000e.$439,000 A bar of gold (Au) is in thermal contact with a bar of silver (Ag) of the same length and area (Fig. P20.49). One end of the compound bar is maintained at 80.0C , and the opposite end is at 30.0C . When the energy transfer reaches steady state, what is the temperature at the junction? 5 x 10^8 - 3.4 x 10^8 =In Scientific notation PLS HELP In the first reading, Washington discusses somebenefits that African Americans have because ofslavery. Write 2-3 sentences explaining hisposition using text from the document 26Select the correct text in the passage.Read the excerpt and select the signal word or phrase that indicates it is part of a cause and effect essay.She spent the day before playing with her friends. When her teacher started passing out the exam, her heart sank. What was she going to do?She quickly decided to cheat off her neighbor. Her teacher looked over and saw her looking at her neighbor's test. Consequently, her teachertook her test, put a big red zero across the top, and sent her to the principal's office until the test was over.ResetNextGo Find the equation of the linear function. Represented by the table below and slope intercept form.i need help. True or false-Consider an object that starts from rest and moves with constant acceleration. The plot of displacement versus time for such motion is a curved line while the plot of displacement versus time squared is a straight line.Question 21 options: True False caffeine takes a certain amount of time to leave your system. if you drink 3 cups of coffee in the morning, the function that represents the amount of caffeine remaining in your body after drinking the coffee is given by g(t)=130(.8246)t where t is time in hoursA. How much caffeine remains in your system after day 1B. How much caffeine remains in your system after 2 days? What is the transformation of f(x)= x^3:NO LINKS!!! THIS IS NOT MULTIPLE CHOICE!!!!!! Part 3:7. f(x)= x^3 - 58. f(x)= -x^39. f(x)= 5x^3 Explain in your own words how temperature of the environment has affected the hair coloring of the Himalayan rabbit.HEEELLLLLLPP IM SO LATE TO TURN THIS PAPER IN SO CAN YOU PLZ HELP ME Drag tiles to the board to represent the expression.Model the algebraic expression x + 2. Then select allthe statements that are true.x + 2 cannot be modeled with algebra tiles.The variable x is represented by a rectangularorange x tile.The variable x is represented by a square orange +tile.O + 2 is represented by 2 rectangular orange x tiles.+ 2 is represented by 2 square orange +tiles.Board sum: 0 Which column in the Applications and Threats screen includes the options Review Apps andReview Policies?A. FeaturesB. TypeC. VersionD. Action Importance of rainfall Add an apostrophe where needed, if needed. The 7th grade teachers class did a project for Thanksgiving.