Convert the given polar
coordinates into rectangular
coordinates.
(4,4)=([?],[√

Convert The Given Polarcoordinates Into Rectangularcoordinates.(4,4)=([?],[

Answers

Answer 1

Converting  the polar coordinates into rectangular coordinates (4,4π/3) is:  (-2, 2√3).

How to  polar coordinates into rectangular coordinates?

Using this formula to  convert from polar coordinates into  rectangular coordinates

x = r cos(θ)

y = r sin(θ)

Where:

r =  radius

θ = angle in radians

So,

(r, θ) = (4, 4π/3)

Substitute

x = 4 cos(4π/3)

x = 4 (-1/2)

x = -2

y = 4 sin(4π/3)

y = 4 (√3/2)

y = 2√3

Therefore the rectangular coordinates are (-2, 2√3).

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Related Questions

A) Determine the gear ratio, if a gear wheel

is having 200 teeth is in mesh with a pinion of 50 tooth. Reduce

the ratio to its simplest form.

b) 40 litres of a mixture of water and milk is 30 %

wa

Answers

divide the number of teeth on the gear wheel by the number of teeth on the pinion to get gear ratio. In this case, the gear ratio is 4. To simplify, divide both numerator and denominator by their greatest common divisor (GCD). The question mentions a 30% water and milk mixture, but lacks specific information or questions.

A) To determine the gear ratio, we need to divide the number of teeth on the gear wheel by the number of teeth on the pinion. In this case, the gear wheel has 200 teeth and the pinion has 50 teeth.

Gear Ratio = Number of teeth on gear wheel / Number of teeth on pinion
           = 200 / 50
           = 4

So, the gear ratio is 4.

To reduce the ratio to its simplest form, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, 4 is already in its simplest form, so we don't need to reduce it further.

b) The question seems to be incomplete. It mentions that there is a mixture of water and milk that is 30%, but there is no specific information or question related to it. If you have any specific question about the mixture, please provide more details so that I can assist you better.
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pls help asap if you can!!!!

pls help asap if you can!!!!

Answers

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

What are alternate interior angles

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Luke finished his homework at 7:35. If he started working on it at 4:00, how long did it take him to finish?

Answers

Answer:

3 hours and 35 minutes

Step-by-step explanation:

4 to 7 is 3 hours and then add at the 35 minutes

is 8.141141114 a rational or irrational and why

Answers

Answer:

It's an irrational number

Step-by-step explanation:

Yes, 8.141141114 is not a rational number . it is a irrational number .generally we can find out a number is rational or irrational by seeing the number. If mentioned number were 8.141141141 then It would be a rational number because after point number 141 is repeated. Hence,Mentioned number is not look like that. so, it is a irrational number

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Trevor thought there would only be 8 teams in the soccer tournament, but there were 17. What was his percent error?

Answers

Answer:

Around 52.94%

Step-by-step explanation:

We can use the percentage error formula, which is

\(\frac{|approx-exact|}{exact}\cdot100\).

The approximated value was 8, however the exact value was 17, so we can substitute inside the equation.

\(\frac{|8-17|}{17}\cdot100 \\\\\frac{|-9|}{17}\cdot100 \\\\\frac{9}{17}\cdot100 \\\\0.5294...\cdot100 \\\\52.94\)

Hope this helped!

he object with a mass m starts the motion in one dimension from the origin with speed v, calculate the kinetic energy when object will reach x point.

Answers

The required kinetic energy is KE = 12mv2

The kinetic energy when an object with mass m starts its motion in one dimension from the origin with speed v and reaches x-point can be calculated using the formula for kinetic energy:KE=12mv2,

where m is the mass of the object and v is its velocity.In this scenario, we know the mass of the object and its initial velocity.

We also know that the object will reach a certain x-point.Let's assume that the object experiences no external forces that might change its kinetic energy.

Then the main answer will be:KE = 12mv2.

The kinetic energy of the object is directly proportional to the square of its velocity and its mass. Therefore, if the mass of the object or its velocity changes, so will its kinetic energy.

In conclusion, when an object with a mass m starts its motion in one dimension from the origin with speed v and reaches a certain x-point, the kinetic energy of the object can be calculated using the formula KE=12mv2.

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I need help with this question, quickly

I need help with this question, quickly

Answers

The correct names of the given line include the following:

A. PQ (with a line on top).

B. QP (a line with an arrow to the left on top).

What is a line?

A line can be defined as a mark with length and direction, that is created by a point that is moving across a surface. Also, a line can vary in length, width, direction, curvature, and color.

What is a line segment?

A line segment can be defined as the part of a line in a geometric figure that is bounded by two distinct points (end points) and it typically has a fixed length.

How to name a line segment?

In Geometry, a line can be named by using two (2) points on the line in conjunction with the letters associated with it. In this context, the correct names of the given line include the following:

A. PQ (with a line on top).

B. QP (a line with an arrow to the left on top).

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The telephone company made this table to show the number of telephones in the
homes they surveyed:
Phones in home o 1 2 34 or more
Number of homes7|33 56 42
If these homes are representative of the community of 100,000 homes that the
company serves, about how many homes would you predict have 4 or more
12
telephones?

The telephone company made this table to show the number of telephones in thehomes they surveyed:Phones

Answers

Answer:

C. 24,000

Step-by-step explanation:

According to the table, 8000 homes of 100,000 are predicted to have 4 or more telephones

How to predict the number of homes?

From the table, we have the following parameters:

Homes with 4 or more telephones = 12Total number of homes = 150

So, the probabilty that a home has 4 or more telephones  is:

P = 12/150

In a community of 100,000 homes, the expected number of homes that has 4 or more telephones is:

E(x) = 12/150 * 100,000

Evaluate

E(x) = 8000

Hence, 8000 homes are predicted to have 4 or more telephones

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What is 17x5.8 show your work

What is 17x5.8 show your work

Answers

Answer: 98.6

Step-by-step explanation:

5.8 can be broken down into 5 & 0.8

17 timed 5 = 85

17 timed 0.8 = 13.6

85+13.6 = 98.6

I WILL AWARD YOU THE BRAINLIEST!!!!!!!!!
whats 1+1-1

Answers

Answer:

1

Step-by-step explanation:

LOL

Answer:

1+1-1=1

Step-by-step explanation:

1+1=2

2-1=1

your answer is 1

Complete the following 7 WK 3 Financial
Exercises: Problem Set 1, Part 1 questions using
either the financial functions in Excel® or the
Present Value and Future Value formulas shown:
Present value formula:
Future value formula:
Question
PV = FV * 1/(1+i)^n
FV=PV *(1+i)^n
Answer
Insert your answer. Brainly...
1. If you want to have $60,000 in 8 years, how
much do you need to deposit in the bank today if
the account pays an interest rate of 9%?
2. What will $110,000 grow to be in 9 years if it is
invested today at 11%?
Insert your answer.
3. You would like to have $200,000 in a college
fund in 15 years. How much do you need today if
you expect to earn 12% while you are investing to
pay for your child's college?
Insert your answer.
4. You have been offered $3,000 in 4 years for
providing $2,000 today into a business venture
with a friend. If interest rates are 10%, is this a
good investment for you?
Insert your answer.
5. What will $82,000 grow to be in 11 years if it is
invested today at 8% and the interest rate is
compounded monthly?
Insert your answer.
6. How many years will it take for $136,000 to
grow to $468,000 if it is invested in an account with
an annual interest rate of 8%?
Insert your answer.
7. At what interest rate must $112,000 be invested
so that it will be worth $392,000 in 14 years?
Insert your answer.

Complete the following 7 WK 3 FinancialExercises: Problem Set 1, Part 1 questions usingeither the financial

Answers

Answer:

I am solving this Question since morning but I am not able to complete

5a - 2b = 7 and 5a +2b =14 in elimination method​

Answers

Answer:

a = 2.1

b = 1.75

Step-by-step explanation:

5a - 2b = 7

5a + 2b = 14

Combine the equation, we get

10a = 21

a = 2.1

Now put 2.1 in for a and solve for b

5(2.1) - 2b = 7

10.5 - 2b = 7

-2b = -3.5

b = 1.75

Let's Check

5(2.1) - 2(1.75) = 7

10.5 - 3.5 = 7

7 = 7

So, a = 2.1 and b = 1.75 is the correct answer.

5a - 2b = 7
5a + 2b = 14
———————- -
-4b = -7
b= 7/4

2+2 equals?


I am very stuck on this question

Answers

Answer:

2+2=4

Step-by-step explanation:

Fred sold 14 rolls of wrapping paper for a band fundraiser earning the band $17. 50. Sharon sold 16 rolls of wrapping paper and earned $20. 00 for the band. If this relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis, what is the slope of the graph in dollars per roll?.

Answers

Answer: $1.25 Per Roll

Step-by-step explanation:

(14,17.50) and (16,20)

Under what circumstances is a score that is located 5 points above the mean a central value, relatively close to the mean?

a. When the population standard deviation is much less than 5

b. When the population mean is much less than 5

c. When the population mean is much greater than 5

d. When the population standard deviation is much greater than 5

Answers

The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.

What is the standard deviation?

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Here, we have

The circumstance is a score that is 5 points above the mean considered a central value.

We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.

We concluded from the above statement that when the population standard deviation is much greater than 5.

Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.

Therefore, the correct option is D.

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A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph.

Answers

60 mph = 1 mile per minute
10:20 AM -> 1:00 PM = 2 hours and 40 minutes
2 hours 40 minutes = 160 minutes
Boston -> Stamford = 160 miles



1. On a standardized test, Cathy had a score of 74, which was exactly 1 standard deviation

below the mean. If the standard deviation for the test is 6, what is the mean score for

the test?

Answers

The mean score for the test is 80.

We have,

To find the mean score for the test, we can use the relationship between the mean, the standard deviation, and the z-score.

The formula for the z-score is:

z = (x - μ) / σ

Where:

z is the z-score,

x is the given score,

μ is the mean, and

σ is the standard deviation.

In this case, we know that Cathy's score (x) is 74 and it is 1 standard deviation below the mean (z = -1).

The standard deviation (σ) is given as 6.

Plugging these values into the z-score formula, we can solve for the mean (μ):

-1 = (74 - μ) / 6

Multiplying both sides by 6:

-6 = 74 - μ

Rearranging the equation:

μ = 74 + 6

μ = 80

Thus,

The mean score for the test is 80.

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an engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 100 engines and the mean pressure was 5.5 lbs/square inch. assume the standard deviation is known to be 0.7 . if the valve was designed to produce a mean pressure of 5.3 lbs/square inch, is there sufficient evidence at the 0.05 level that the valve performs above the specifications? state the null and alternative hypotheses for the above scenario.

Answers

There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

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Please answer question

Answers

SOLUTIONS

Using the Pythagoras theorem

\(sin\theta=\frac{opp}{hyp}\)

opposite = x

hypotenuse = 10

\(\begin{gathered} sin37^0=\frac{x}{10} \\ x=10sin37^0 \\ x=6.018 \\ x\approx\text{ 6} \end{gathered}\)

Final answer = 6

Please answer question

Find the error for the proposed solution. Then correct the proposed solution.
2x + 18 = 16
2x = 34
2x 34
2 2
X = 17

Answers

Answer:

The error is in the second line.

x = -1

Step-by-step explanation:

When solving for "x", you are trying to isolate it, or move everything else to the other side. You may have learned that "what you do to one side, you do to the other" .

2x + 18 = 16

2x = 34               18 was added to the right side, but not to the other.

If you add 18 on both sides, then the equation would be:

2x + 36 = 34       "x" is not being isolated.

Instead, you should subtract 18 from 16.

Correct solutions steps:

2x + 18 = 16

2x + 18 - 18 = 16 - 18     Subtract 18 from both sides to cancel out 18

2x = -2

2x/2 = -2/2                     Divide both sides by 2

x = -1                              Final answer

Selena has a piece of ribbon that is 130 inches long. If she wants to make bracelets that are 9 inches long, how many inches of ribbon will be left over?

Answers

Answer:

Yes dentro as options out not is me viking one produtions

\(14 \frac{4}{9}\) inches of ribbon will be left over.

What is division?

Creating equal groupings or determining how many people go into each group after a fair distribution is the basic objective of division. Multiply the first percentage by the equivalent of the other to equal the quadratic formula. They factor everything and search for common traits after rewriting the partition as multiple of the first statement by the opposite of the latter.

Selena has a 130-inch-long ribbon in her possession.

If she strives to make 9-inch bracelets,

ribbon will be left over = 130/9

= \(14 \frac{4}{9}\)

In the end, Selena will have  \(14 \frac{4}{9}\) a ribbon left with her.

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or
Find the slope of the line that passes through (10, 1) and (3, 2).

Answers

Answer: m= -1/7

Step-by-step explanation:

PLS HELP! WILL AWARD BRAINLIEST

PLS HELP! WILL AWARD BRAINLIEST

Answers

Answer:

5 ft

Step-by-step explanation:

Use Pyth theorem

3^2 + b^2 = 6^2

9 + b^2 = 36

b^2 = 25

b = 5

Plz mark brainliest

in the system of linear equations below, a and b are constants. the solution to the system is (5,1)


ax+by=38

bx-ay=8



what are the values of a and b?
PLEASE HELP!! I WILL GIVE BRAINLEST!!

Answers

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the linear equations..

Here given value of x= 5 and y =1 , so we get as,

5a + b = 38 and 5b - a = 8

so, now we multiply equation no. 2 by 5 all over.

==> 25b - 5a = 40....(1)

hence adding new equation and equation no. 1

26b = 78

b = 78/26

hence b = 3 , and a = 7

70 - 4a for a = 8 ??

Answers

Answer:

38

Step-by-step explanation:

Just substitute it. The equation becomes

70 - 4(8)

70 - 32 = 38

Answer:

38

Step-by-step explanation:

70 - 4a =

70 - 4*8=

70 - 32= 38

A researcher wants to know if a new type of exercise improves people’s health. Would this be a one-tailed or a two-tailed test and why?
a) One-tailed because the study is only interested in whether exercise increases health. b) One-tailed because the study only looks at the effects of exercise and does not take other factors into account. c) Two-tailed because they will have to study healthy and unhealthy people. d) Two-tailed because there is no predicted direction of the difference.

Answers

Two-tailed because there is no predicted direction of the difference. The correct answer is D.

In hypothesis testing, a one-tailed test is used when the researcher has a specific prediction about the direction of the effect. They expect the results to be either greater than or less than a certain value. However, in this scenario, the researcher simply wants to investigate whether the new type of exercise improves people's health without any specific directional prediction.

A two-tailed test is appropriate when the researcher wants to determine if there is a significant difference between the groups being compared, but without specifying the direction of the difference. In this case, the researcher wants to examine if the new exercise has any effect on health, whether it improves or worsens it. Therefore, a two-tailed test is suitable as it allows for the possibility of observing a significant difference in either direction.

Therefore, considering these factors, the researcher should conduct a two-tailed test to assess the potential impact of the new exercise on people's health. The correct answer is D.

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please help asap I'm not sure how much time I have

please help asap I'm not sure how much time I have

Answers

tan 37,4 = opposite/adjacent

tan 37,4 = x/12,8
• then multiply both sides by 12,8

12,8tan 37,4 = x
Therefore x = 9, 79 x 100
= 97, 86
= 100
( I guess that’s how you can round it to the nearest hundred, please correct me if I’m wrong)

Second one:

please help asap I'm not sure how much time I have

Both Galapagos islands and the Island of Nauru are on the equator, but the Galapagos islands are at 90°W where the Island of Nauru is at 166.50°E. How far is it from the Galapagos islands to Nauru traveling over the Pacific ocean along the equator, correct to the nearest km?

Answers

Answer:

11565 km

Step-by-step explanation:

The computation is shown below:

But before reaching the final solution first we need to do the following calculations

The angle lies between the Galapagos  and  Nauru is

= 90° + 166.50°

= 256.5°

Since the sum of angle is 360 degrees

So the major arc and the minor arc is

= 360° -  256.5°

= 103.50°

Now the angles lies between galapagos islands is

= 180°  - 90°

= 90°

And, between the naura island is

= 180°  - 166.50°

= 13.5°

Now the total of this two island is

= 90°  + 13.5°

= 103.5°

The length is

\(= \frac{\pi r }{180^{\circ}} \times \theta\\\\ = \frac{6,400\pi}{180^{\circ}} \times 103.5^{\circ}\)

= 11565 km

2. 8 × - 11 - 3× + 8

please solve this thankyou!!​

Answers

Answer:

-54.8 ( in fraction -274/5)

Step-by-step explanation:

2.8 × (-11) - 3 × 8 =

-30.8 - 24 =

-54.8 ( in fraction -274/5)

Find the area of the kite 15 and 8

Answers

The answer of the given question based on the area of kite is ,  the area of the kite is 60unit².

What is Diagonal?

A diagonal is a straight line connecting two non-adjacent vertices of a polygon or a polyhedron. In other words, it is a line segment that connects two corners of a shape that are not next to each other.

Diagonals play an important role in geometry, as they can be used to determine various properties of shapes. For instance, the length of the diagonal of a rectangle can be used to find its area and perimeter, and the length of the diagonal of a cube can be used to find its volume and surface area.

To find the area of a kite, we need to know the lengths of its two diagonals. Let d1 and d2 be  length of  two diagonals of  kite.

In this case, we know that the two diagonals have lengths 15 and 8. Let's label them as d1 = 15 and d2 = 8.

The area of kite can be calculated using formula:

Area = (1/2) x d1 x d2

Substituting  values of d1 and d2, we will get:

Area = (1/2) x 15 x 8

Area = 60

Therefore, the area of the kite is 60unit².

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Sustainable food proponents argue that humans shouldeat less meat and consume more grains and vegetables.They cite the following information in the chart below as areason for their argument.To produce one pound of: Requires:Beef 7 pounds of grainPork 4 pounds of grainChicken 2 pounds of grainThe premise of their argument is based on which of thefollowing facts?A Carnivorous food sources make up a larger amountof biomass than herbivorous food sources.B The amount of biodiversity increases at eachtrophic level within a food chain.C Only a small percentage of the available energy istransferred to next highest trophic level.D All of the above are true facts that support theargument for sustainable food. Please Help I know that you looking at this answer don't skip please help experts?1. In ancient Rome Who died first, Jesus or Julius Caesar?2. Which Roman era lasted the longest: the Roman monarchy, the Roman republic, the Western Roman Empire or the Byzantine Empire?3. Did Jesus live during the Roman Republic or the Roman Empire?4. what led to the end of the Roman monarchy?5. what led to the end of the Western Roman Empire?6. how long did it take for Christianity to become an acceptable religion?7. Was Julius Caesar a Christian? How do you know? What is the type of infection control in which microorganisms have been eliminated as much as possible by the use of water and chemical disinfectants Who were the Medici and how did they have so much power? How did they influence the art of the Renaissance? 2. DEFINE merit-based aid. For what achievement or ability are most merit-based scholarshipsawarded? (2 points) (4/5)^(- 2)I need to rewrite this without an exponent. You must evaluate a proposal to buy a new milling machine. The purchase price of the milling machine, including shipping and installation costs, is $109,000, and the equipment will be fully depreciated at the time of purchase. The machine would be sold after 3 years for $50,000. The machine would require a $4,000 increase in net operating working capital (increased inventory less increased accounts payable). There would be no effect on revenues, but pretax labor costs would decline by $30,000 what is the answer to 2x + 21 4.834 * 10 ^ 9 as an ordinary number Applied Statics and Strength of Materials, 6/e 8.8 For the cross section of Problem 8.3 , calculate the moment of inertia with respect to the YY centroidal axis. 8.9 Calculate the moments of inertia with respect to both centroidal axes for the areas shown. What is championship game of baseball called? The World Series The Super Bowl The World Cup What religion is haiku closely tied to? Tim worker wants to compare the cost of online banking with that love to check writing Tim writes an average of 35 checks a month for his donation utilities and other expenses the table has a,c,d,e rows There are two networks that offer consistent connection-oriented service. The first offers a reliable byte stream, whereas the second gives a reliable message stream. Are these the same thing? If this is the case, what is the point of the distinction? If not, please give an example of how they differ. 5 Q-1 (b) You are suggested by your employer to create a subnet of five router for new office in new delhi. All routers are connected in point to point fashion. Each pair of router is connected by a high-speed line, a medium-speed line, a low-speed line, or no line at all. How long will it take to examine all of them if each topology builds and inspects in 100 ms? 5 What is formed when 2 or more elements combine chemically What are the four main goals of monetary policy? Which test designed for the army was used for recruits who were not fluent in english?. whats a vertical line test & how is it used? a rectangular container measuring 20cmX20cmX30cm is filled withn water.What is the mass of the voulme of water in kilogram and in grams? Two or more atoms joined together through the sharing of electrons are called a(n).