Convert to polar form
Y=x^2-64/16

Answers

Answer 1

To convert the expression, Y=x^2-64/16 into the polar form, we would have: r = 2 / √(sin^2θ + cos^2θ).

How to convert into the polar form

The polar form of a mathematical expression is a way of representing complex numbers using their magnitude and angle.

For a complex number z = a + bi, where a and b are real numbers, its polar form is given by z = r(cosθ + i sinθ), where r is the magnitude of z and θ is the angle that z makes with the positive real axis.  

So, for the given expression, the polar form can be converted this way:

r^2 sin^2θ = r cos^2θ - 4

r^2(sin^2θ + cos^2θ) = 4

r = 2 / √(sin^2θ + cos^2θ)

Therefore, the polar form is r = 2 / √(sin^2θ + cos^2θ).

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Related Questions

In triangle PQR if PQ = QR then which one of the following relation is TRUE? *
∡P < ∡R
∡P = ∡ Q
∡ P = ∡ R
∡ P is greater than ∡R

Answers

Answer:

Triangle PQR is an isoceles triangle since PQ=QR, where angle P= angle R (property of isoceles triangle)

What is the midpoint of the segment shown below

What is the midpoint of the segment shown below

Answers

Answer:

(6,3)

Step-by-step explanation:

The distance between (2,3) and (10,3) is 8 units. If we divide that in half we get 4 units. If you add 4 to the x coordinate in (2,3) you get (6,3). You should leave the y coordinate the same because both y coordinates for the first and second point are 3.

Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.

Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.

What is OB'?

1.5 units
3 units
4.5 units
6 units
Mark this and return

Answers

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

Dilation

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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What is the parent function of F(x)=|x| ?

Answers

Answer:

okkkkkkkkkkkkkl

Step-by-step explanation:

u are so intelligent

A farmer owns 28 acres of land . Of the 28 acres only 65% can be formed .how many acres Are available for farming ?

Answers

Answer:

18.20 acres

Step-by-step explanation:

28×65% =

= 28×65/100

= 1820/100

= 18.20 acres

The slope of a line is 2. The y-intercept of the line is 6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair
on the line. Draw a line through the two points.
Locate the ordered pair (0, -6). From that point on the graph, move up 2. left 1 to locate the next ordered pair
on the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair
on the line. Draw a line through the two points.
Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair
on the line. Draw a line through the two points.

Answers

Answer:

A

Step-by-step explanation:

HELPP!!!
The area of the figure is ____ square units.

HELPP!!!The area of the figure is ____ square units.

Answers

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Julie thinks this will mean the prices will be reduced to $0 after the four reductions because 4 x
25% = 100%.
Explain why Julie is wrong

Answers

Answer:

4x25/100=1

Step-by-step explanation:

How I came up with it

4÷100=25

25÷25=1

Julie will only get a 1% discount

Hope it helps

what the value of the question

what the value of the question

Answers

Answer: \(14\sqrt 2\)

Step-by-step explanation:

What are the answers to this?

What are the answers to this?

Answers

Answer:

u should better search the google or this site www.edkasa.edu.pk u will defiantly find the answer.

1 What is the 3 worth in each of these lengths?
a)32.5 m
b)84.3 m
C)93.2 m
d)70.3 m
e)23.0m
f)36.7 m

Answers

Answer:

doğru cevap b dir

Step-by-step explanation:

bilmiyim ki ca

A pet store increases the price of a bag of dog food by 5%
If the increase in price is $2.00, what is the new price for dog food?

Answers

Answer:

$42.00

Step-by-step explanation:

We can represent the given information as a ratio:

% of original price : price

                          5% : $2.00

Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.

5%      :  $2.00

↓ × 20   ↓ × 20

100%  :  $40.00

Now that we know the original price, we can add $2.00 to get the new price.

$40.00 + $2.00 = $42.00

Peter has to spend $13000 on expenses each year. If tha: amount of money is 52.0% of his salary, then how much money does Peter make working as an administrator per year? Round your answer to the nearest whole number if necessary.

Answers

Peter makes $25000 working as an Administrator per year.

Let's assume that Peter's salary is "S" dollars. We know that his expenses are 52.0% of his salary or 0.52S dollars per year. We also know that his expenses amount to $13000. Therefore, we can set up the following equation:

0.52S = $13000

To solve for S, we can divide both sides by 0.52:

S = $13000 / 0.52

S = $25000

Therefore, Peter makes $25000 working as an administrator per year.

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-74.25
That the right answer

Answers

Answer:

Okay...

Step-by-step explanation:

solve for problem 26 and solve for x please help

solve for problem 26 and solve for x please help

Answers

Answer:

\(x= -1\frac{9}{23}\)

Step-by-step explanation:

solve for problem 26 and solve for x please help
solve for problem 26 and solve for x please help

The sum of two consecutive mile markers on the interstate is 365. Find the numbers on the markers.

Answers

Answer:

x is the first mile marker

then, x+%2B+1 the second mile marker

given:

x%2Bx+%2B+1=655

2x+=655-1

2x+=654

x+=654%2F2

x+=327->the first mile marker

and

x+%2B+1=328 the second mile marker

What is the total capacity of all the servings that are two and two fourths cups? A line plot titled Servings of Lemonade. The bottom label is Capacity in cups. There is a number line from 1 to 2 and 2 fourths, partitioned into fourths. There is one mark above 1. There are 4 marks above the first tick mark after 1. There is 1 mark above the second tick mark after 1. There are 2 marks above the third tick mark after 1. There are 3 marks above the first tick mark after 2. There are 2 marks above the second tick mark after 2. three and three over four cups 4 cups four and three over four cups 5 cups

Answers

The correct answer is option D. 250 milliliters, is the capacity of a small cup.

It is given that, the  total capacity of two large cups and two small cups is 1,500 milliliters. If the total capacity of one large cup and two small cups is 1,000 milliliters.

To find the capacity of a small cup

Let small cup capacity  be 's' and large cup capacity be 'l'

From the given information we can write,

2l + 2s = 1500

Then l + s = 750

one large cup and two small cups is 1,000 milliliters.

l + 2s = 1000

l + s + s = 1000

(l + s) + s = 1000

750 + s = 1000

s = 1000 - 750 = 250

The correct answer is option D. 250 milliliters

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complete question:

The total capacity of two large cups and two small cups is 1,500 milliliters. If the total capacity of one large cup and two small cups is 1,000 milliliters, what is the capacity of a small cup?

A. 375 milliliters

B. 200 milliliters

C. 500 milliliters

D. 250 milliliters

The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-

The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:

The slope of the tangent line to the curve y= 3/xat the point 5, 3/5 is- The equation of this tangent

Answers

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

How to find the slope of the tangent line?

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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Suppose that 55 students were asked how many courses they were taking this semester. The (incomplete) results are shown below. Fill in the blank cells to complete the table. Round the relative frequencies to the nearest tenth.

Suppose that 55 students were asked how many courses they were taking this semester. The (incomplete)

Answers

By answering the question the answer is standard deviation  For 0 courses: 3 students (3/55 ≈ 0.1 or 9.1%); For 1 course: 12 students (12/55 ≈ 0.2 or 21.8%)

What is standard deviation?

Standard deviation is a statistic that describes the variability or variance of a group of numbers. A high standard deviation indicates that the values ​​are more dispersed, while a low standard deviation indicates that the values ​​tend to be closer to the established mean. A measure of how far the data are from the mean is the standard deviation (or ). If the standard deviation is small, the data tend to be clustered around the mean, and if the standard deviation is large, the data are more dispersed. The average variability of the dataset is measured as standard deviation. Shows the mean deviation of each score from the mean

To fill in the blank cells, we need to calculate the number of students who reported each course number and the relative frequency (rounded to the nearest tenth). This can be done like this:

For 0 courses:

3 students (3/55 ≈ 0.1 or 9.1%)

For 1 course:

12 students (12/55 ≈ 0.2 or 21.8%)

For 2 courses:

17 students (17/55 ≈ 0.3 or 30.9%)

For 3 courses:

9 students (9/55 ≈ 0.2 or 16.4%)

For 4 courses:

8 students (8/55 ≈ 0.1 or 14.5%)

For 5 courses:

2 students (2/55 ≈ 0.0 or 3.6%)

For 6 courses:

4 students (4/55 ≈ 0.1 or 7.3%)

The finished table looks like this:

+--------+--------+---------------------+

| Number | Number | Relative Frequency  |

|  of    | of     | (Rounded to nearest |

|Courses |Students|         tenth)      |

+--------+--------+---------------------+

|   0    |   3    |         0.1         |

|   1    |   12   |         0.2         |

|   2    |   17   |         0.3         |

|   3    |   9    |         0.2         |

|   4    |   8    |         0.1         |

|   5    |   2    |         0.0         |

|   6    |   4    |         0.1         |

+--------+--------+---------------------+

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by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4 shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense

Answers

The bank reconciliation reveals various errors and discrepancies between ABC Company's records and the bank statement, including missing deposits, incorrect check charges, outstanding checks, unrecorded interest proceeds, fees, NSF charges, and recording errors.

Upon analyzing the bank reconciliation for ABC Company, several discrepancies between the company's records and the bank statement are identified:

A deposit of Br. 410.90 made after banking hours does not appear on the bank statement. This indicates that the deposit was not processed by the bank before the statement was generated.

A check drawn for Br. 79 was charged by the bank as Br. 973. This suggests an error by the bank in processing the check, resulting in an incorrect charge to ABC Company.

Outstanding checks are checks issued in July but have not yet been paid by the bank. The checks include check numbers 801, 888, 890, and 891, with respective amounts of Br. 100.00, Br. 10.25, Br. 294.50, and Br. 205.00.

A check written for Br. 210 was charged by the bank as Br. 120, indicating an error in the bank's recording.

The proceeds from the collection of an interest-bearing note receivable from David, with a face amount of Br. 500, are not reflected in the bank statement.

A Br. 24.75 interest earned on the average account balance during July is included in the bank statement.

A check for Br. 10, which was recorded in the check register as Br. 100, was returned with the statement. This discrepancy could be due to an error in recording the check amount.

A Br. 5.00 fee was charged by the bank for handling the collection of a note receivable.

A Br. 50.25 check from customer John, deposited by ABC Company, was charged by the bank as Non-Sufficient Funds (NSF), indicating that the customer's check bounced.

A Br. 12.70 service charge was imposed by the bank for the month of July.

Check number 875 was issued on July 20 for Br. 85 but was erroneously recorded in the cash payment journal as Br. 58 for the payment of telephone expenses.

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In this lesson, you explained how acts, scenes, and stanzas work together to provide structure and meaning in a drama or poem. Explain how you can apply what you've learned to other dramas and poems you read.​

Answers

Answer:

The things that you've learnt can be applied to other dramas and poems that you read by showing how all these elements help to show meaning in poems and dramas.

(sidenote: without knowing what other dramas and poems you are reading, this question is quite vague)

Which expression is equivalent to 7/4?

Answers

Answer:

1 3/4

Step-by-step explanation:

improper to mixed number

8 1/2 - 6 1/4 please subtract

Answers

Answer:

2.25

Step-by-step explanation:

8.5-6.25

(8-6)+(0.5-0.25)

2+0.25

2.25

Answer:

2.25 or 9/4 is the answer

Hope this helps

A car shop has 12 mechanics, of whom 8 can work on transmissions and 7 can work on brakes. a) What is the minimum number who can do both? b) What is the maximum number who can do both? c) What is the minimum number who can do neither? d) What is the maximum number who can do neither?

Answers

Answer:both a and b are correct

Step-by-step explanation:

Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?

Answers

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

translate: four times the difference of a number and 11

Answers

Answer:

Step-by-step explanation:

4(x+11)

PLEASE HELP!!! JUST SHOW ME HOW YOU DID IT? PLEASE! THANK YOU SO MUCH!1

PLEASE HELP!!! JUST SHOW ME HOW YOU DID IT? PLEASE! THANK YOU SO MUCH!1

Answers

Answer:

It’s an=-10•-0.5^n-1. First you want to divide 5 by -10 to find r (common ratio) which is -0.5. Next you just plug in your terms.

Step-by-step explanation:

PLEASE HELP ME ITS DUE TODAY AND I’LL MARK BRAINLIEST

PLEASE HELP ME ITS DUE TODAY AND ILL MARK BRAINLIEST

Answers

Answer:

D.

Step-by-step explanation:

Answer:

A square has a side length equal to 6a - 2b inches. What is the area of this square?

Answer:

36a²+4b²

Step-by-step explanation:

we don't have the value of a and b,

Area = l²

so we can solve with an expression but without a real value.

(6a-2b)²

or

36a²+4b²

Step-by-step explanation:

The triangles in the diagram are congruent. If mF = 40°, mA = 80°, and mG = 60°, what is mB?

Answers

Answer:

40

Step-by-step explanation:

The measure of m∠B in the triangle is 40°.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Since the triangles are congruent, we know that their corresponding angles are congruent as well.

Therefore, we have:

m∠B = m∠F = 40°.

Note that we also have:

m∠C = m∠A = 80° (by corresponding angles)

m∠H = m∠G = 60° (by corresponding angles)

Finally, we can use the fact that the sum of the angles in a triangle is 180° to find the measure of angle D:

m∠D = 180° - m∠B - m∠C = 180° - 40° - 80° = 60°.

Therefore,

m∠B = 40°.

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PLEASE HELP DUE IN 1 HOUR

PLEASE HELP DUE IN 1 HOUR

Answers

The 3rd and 4th expressions cannot be simplified using the quotient rule for exponents

How to determine expressions that cannot be simplified using the quotient rule for exponents?

The quotient rule for exponents states that if you have two exponents, and you want to divide them, you can do so by subtracting the exponent of the denominator from the exponent of the numerator.

The general form of the quotient rule:

xᵃ / xᵇ = xᵃ⁻ᵇ

Given:

(3²9⁻¹2³)/(8⁵7⁻²)

(3²9⁻¹2³)/(8⁵7⁻²) = (3² × 3²⁽⁻¹⁾ × 2³)/(8⁵×7⁻²)

                        = (3² × 3⁻² × 2³)/(2³⁽⁵⁾ ×7⁻²)

                        = (3²⁺⁽⁻²⁾ × 2³)/(2¹⁵ × 7⁻²)

                        = (3⁰ × 2³)/(2¹⁵ × 7⁻²)

                        = (1 × 2³)/(2¹⁵ × 7⁻²)

                        = (2³)/(2¹⁵ × 7⁻²)

                       = 2³⁻¹⁵ × 7²    ( quotient rule is used here)

                       = (2⁻¹²) (7²)

(4⁻²x⁻¹)/(4⁻¹x⁻²)

(4⁻²x⁻¹)/(4⁻¹x⁻²) = 4⁻²⁻⁽⁻¹⁾ × x⁻¹⁻⁽⁻²⁾  ( quotient rule is used here)

                       = 4⁻²⁻⁽⁻¹⁾ × x⁻¹⁻⁽⁻²⁾

                       = (4⁻¹) (x¹)

(6x⁻⁸z²)(6⁵x⁻¹z²)

(quotient rule cannot be used to simplify this expression because the two expressions are multiplying each other)

(q⁻⁵r¹¹)/(s⁶t⁻¹⁵)

(quotient rule cannot be used here  because there are no like bases)

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