Convert the rectangular equation x^2 + y^2 = 2y to polar form
a) r= 4 sin theta
b) r= 2 cos theta
c) r= 2 sin theta
d) r= 2 sec theta
Answers
Answer:
c) r= 2sin θ
Step-by-step explanation:
Remember, \(r=\sqrt{x^2+y^2} \\\)
therefore,\(r^2=x^2+y^2\)
Also y= rsin θ
Given rectangular equation:
x²+y²+ 2y
r²= 2(rsin θ)
r²= 2rsin θ
dividing r from both sides
r= 2sin θ
Answer:
b on edge 2022
Step-by-step explanation:
Related Questions
Solve for y and find the value of y for each value of x
x + 2/y - 3 = 1 x = -1, 0, 1
Answers
Answer:
2x 2y -1
Step-by-step explanation:
x plus 1x equals 2x and 2y equals 2 y and 1 plus 1 minus 3
Answer:
2x yx -2
Step-by-step explanation:
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
What is the surface area of the cylinder represented by the net? Apply the formula SA = 2B + Ph. Use π as part of your answer.
Answers
Answer:
128π
Step-by-step explanation:
SA = 2B + Ph = 2πR² + 2πRh = 2π.16 + 2π.4.12 = 128π
Please help me with this question! Thank you
Answers
Answer:
Step-by-step explanation:
Well it would be true for f. because all people would want orange juice or lemonade.
-What is the y-intercept of the line of best fit?
-What is the slope of the line of best fit for this scatter plot?
-What is the equation of the line of best fit?
Answers
Answer:
y-intercept : 8
slope: -1/2
equation: \(y = -\dfrac{1}{2}x + 8\)
Step-by-step explanation:
The y-intercept is where the line crosses the y axis and you can see it crosses at y = 8 (when x =0)
Slope of the line can be found by the formula (y2-y1) / (x2-x1) where 9x1, y1) and (x2, y2) are two points on the line
Let's take the points (0, 8) and (10, 3) the two extreme points on the line
Slope = (3 - 8) / (10 - 0) = -5 / 10 = - 1/2
Equation of a line in slope intercept form is
y = mx + c
where m is the slope
b is the y intercept
The equation of the line is therefore
\(y = -\dfrac{1}{2}x + 8\)
Answer:
Y-intercept = 8
Slope = -1/2t
Equation = y =-1/2x+8
Step-by-step explanation:
When x = 0, y = y-intercept.
Therefore, the y-intercept is 8.
We can find the slope using the formula y2-y1 / x2-x1 = m.
Let's use the points (0,8) and (4,6)
6-8 / 4-0 = m;
m = - 1/2.
Given that the generic formula is y=mx+b, and m-slop and b=y-intercept, we have:
y = -1/2x+8.
???????????????????????????
Answers
Answer:
12 and 78 are complementary.
80 and 100 are supplementary.
50 and 50 are neither.
Step-by-step explanation:
Hope it helps! =D
Could someone help me with this question ASAP!
Answers
Banana Cupcakes
makes 10 cupcakes
1 cup granulated sugar
cup vegetable oil
1 large egg
4 tablespoons sour cream
2 medium-sized ripe bananas, mashed
1 cups all-purpose flour
1 teaspoon baking soda
teaspoon salt
1 teaspoon vanilla extract
pinch of nutmeg
You will use the recipe above to answer the following questions:
This recipe serves 10, but you need to serve 30. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How much vegetable oil do you need for 30 cupcakes?
How much flour do you need for 30 cupcakes?
What is the difference in the amount of vanilla extract you would need for 30 cupcakes?
What is the difference in the amount of salt you would need for 30 cupcakes?
In the real world, even though you make adjustments to a recipe to accommodate the number of people you need to serve, you sometimes round the amount of an ingredient instead of using an exact amount. Which ingredient would it make more sense to round rather than coming up with the exact amount? Why?
Answers
Answer: Hey give me 1 hour and ill answer it I'm doing odessyware rn so Ill get back to you later appreciate yo patients.
Step-by-step explanation:
Then, if we want to make 30 servings, we need to use that recipe 3 times. (because x*10 = 30, then x = 30/10 = 3)
This would be equivalent to multiply each ingredient by 3.
for 30 cupcakes we need:
3 cups of vegetable oil.
3 cups of all-purpose flour
(because for each one of these ingredients we needed only 1 cup to make 10 cupcakes).
for 10 cupcakes we need 1 teaspoon of vanilla.
for 30 cupcakes we need 3 teaspoons of vanilla, the difference is 3 - 1 = 2.
So the difference is 2 teaspoons.
About which quantities we should round are those where we may have mixed numbers or big numbers.
For example, we have 4 tablespoons of sour cream for 10 servings, then for 30 servings we should have:
3*4 = 12 tablespoons.
We could round this down to 10 tablespoons.
Hope this helped
I almost broke my brain doing this so can you give me brainliest answer please thank you
4x−5 when x=10, pls help asapp
Answers
4(10)=40 then subtract the 5 and get 35
Answer: 35
Step-by-step explanation:
Alright, so to start with, we have the equation you gave: 4x-5.
Since x = 10, we can replace x with 10 in this equation, so it becomes 4 x 10 - 5.
Using BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction), we start with the multiplication first, so since 4 x 10 = 40, we go from (4 x 10) -5, to 40 - 5
And now moving on to subtraction, 40 - 5 = 35. Hope this helps!
What number can be divided into 2 and 3 equal groups without a remainder?
A. 36
B. 63
C. 99
D. 115
Answers
Answer:
a. 36
Step-by-step explanation:
36 is a square root
meaning that 6 and 6 can both go into 36 when multiplied
it can also be divided into 9 and 4
Given that,
Number 36 can be divided into 2 and 3 equal groups without a remainder. Option (A) is correct.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
A number can be divided into 2 and 3 equal groups without a remainder.
To find the number,
Solve with the help of options,
(A)
Let the required number is 36, which is divided into 2 and 3 groups and leaves no remainder,
Divide 36 by 2,
36 / 2 = 18
Also, divide 38 by 3,
36 / 3 = 12
Implies that, 36 is the number which can be divided into 2 and 3 equal group.
Hence, option (A) is correct.
To know more about Simplification on :
https://brainly.com/question/2804192
#SPJ2
Help! Please...
Mary is knitting scarves for soldiers. She can knit 6 inches in 113 hours. Scarves need to be 45 inches long.
Complete the statement below regarding Mary's hourly knitting rate and how long it takes her to complete a scarf.
Mary knits ( ) inch(es) per hour(s)
It will take her ( ) hours to finish a scarf.
Answers
Answer:
5085
Step-by-step explanation:
113x45= 5085
Downtown, 10 artists were painting a mural that was 72 feet long. If they split the canvas evenly, how much will each artists get to paint? Which two whole numbers does your answer lie between? (P.S, please answer this quickly if you can and you know the answer!!)
Answers
Answer:
They would would each get 7.2 feet.
72/10= 7.2
The answer lies between 7 and 8
Step-by-step explanation:
* THANKS + 5 STAR + BRAINLIEST, ONLY TWO PEOPLE WILL ANSWER THIS QUESTION. I WILL DECIDE WHETHER YOU'VE PROVIDED A DESCRIPTIVE EXPLANATION AND ANSWERING FROM NOW TO AT LEAST AN HOUR LATER. *
please answer the last question below, thank you!
Answers
Answer:
38.88
Step-by-step explanation:
You first calculate the area of the entire skillet which is:
8 × 8 = 64
Then subtract the 64 by the area of both veggies burgers:
64 - 25.12 = 38.88
HELPP It's due soon!
Answers
Answer:
55 cm^2
Step-by-step explanation:
Find the area of the large rectangle
A = l*w = 9*7 = 63 cm^2
Then find the area of the unshaded rectangle
A = l*w = 4*2 =8cm^2
Subtract the unshaded area from the large rectangle
63 - 8 =55 cm^2
The shaded area is 55 cm^2
Answer: 55
Step-by-step explanation:
4 x 2 = 8
9 x 7 = 63
63 - 8 = 55
Evaluate twenty-five minus three x for x equals zero, one, two, three, and four. Which of the following correctly describes the pattern?
-As x increases by 1, the expression twenty-five minus three x increases by 3.
-As x increases by 1, the expression twenty-five minus three x decreases by 3.
-As x increases by 3, the expression twenty-five minus three x increases by 1.
-As x increases by 3, the expression twenty-five minus three x decreases by 1.
Answers
Answer:
You take turns plugging in each number for your answers. I’ll list them below.
6(0) - (0)2 = 0
6(1) - (1)2 = 4
6(2) - (2)2 = 8
6(3) - (3)2 = 12
6(4) - (4)2 = 16
6(5) - (5)2 = 20
6(6) - (6)2 = 24
The pattern I’ve noticed is every time you increase the value from the previous meaning for x, the solution increases by 4. I hope this helps and let me know if I’m right.
Reggie works at Bright Bouquets flower shop.
Yesterday, he made 4 centerpieces, which would normally use up an entire shipment of roses. In the shop's latest shipment,
12 roses were wilted, so Reggie couldn't use them. He used the remaining 36 roses in the centerpieces.
Which equation can you use to find how many roses, x, Reggie normally uses in a centerpiece?:?????????? HELP
Answers
Answer:
He normally uses 12 roses in a centerpiece
Step-by-step explanation:
The equation he can use will be,
4x - 12 = 36
4x = 48
x = 12
X= 12
48dividedby4=x
20n − 4n + 3n − 11n = 16
Answers
20n-12n=16
8n=16
n= 16/8
n=2
explanation
20n- 4n+ 3n - 11n=16
20n-12n =16
8n= 16
n=16/8
n=2
How many hours and seconds are in a day?
Answers
Answer:
24 hours, 86,400 seconds
Step-by-step explanation:
Answer:
there are 12 hours and 86,400 seconds in a day
Hope this helps:)
A manager of a concession stand buys 96 bottles of water for a total of $19.20. Each bottle of water is sold for $1.75. How much profit does the manager make?
A. $0.20
B. $1.55
C. $148.80
D. $187.20
Answers
Working-
96 times 1.75= 168
168 minus 19.20 = 148.80
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
so basically you can just tell me where the boxes go and bam you get 20 points
Answers
Step-by-step explanation:
(2/3)(-4)(9) = -24
(5/16)(-2)(-4)(-4/5)= -2
(-3/4)(7/8)=-21/32
(2 3/5) (7/9)=91/45
(5/6) x (-2)(-4) x (-4/5) -> -2
(-3/4) x (7/8) -> -21/32
(2 3/5) x (7/9) -> 91/45
Bonsoir svp aidez moi pour demain merci
AEB un triangle isocèle en point E et C le symétrique de A par rapport à E
1)Construire la figure
2)Montrer que le triangle ABC est rectangle
Answers
Answer:
the distance from church to school is 1 . 25km and the distance from school to home is 1 . 52km.how much is it from school to home than from church to school in metres
25km and the distance from school to home is 1.52km.how much is it from school to home than from church to school in metres
Which equation is shown by the model? Responses A 56 × 14 = 524 5 6 × 1 4 = 5 24 B 56 × 14 = 624 5 6 × 1 4 = 6 24 C 56 × 14 = 520 5 6 × 1 4 = 5 20 D 56 × 14 = 610 5 6 × 1 4 = 6 10 Question 2 Choose all of the equations that are correct. Responses A 34 × 15 = 320 3 4 × 1 5 = 3 20 B 47 × 23 = 821 4 7 × 2 3 = 8 21 C 27 × 25 = 412 2 7 × 2 5 = 4 12 D 35 × 12 = 47 3 5 × 1 2 = 4 7 E 13 × 57 = 521 1 3 × 5 7 = 5 21
Answers
Answer:
The answer is A.
Step-by-step explanation:
The answer is A because 5/6 x 1/4 = 5/24
A formula is given as b = 4(m + 1)Make m the subject of the formula.
Answers
Answer:
m= (b/4) -1
Step-by-step explanation:
b = 4(m + 1)
b/4 = m+1
(b/4) -1 = m
Answer:
m= (b/4) - 1
Step-by-step explanation:
You have to do the inverse of operations so times would be divide and add would be subtract.
CAN SOMEONE PLEASE ANSWER ALL THESE FOR ME. #1,6 & 8 aren’t required
Answers
Answer:46
Step-by-step explanation:
easy math
please help with this.
Answers
While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but she isn't sure how far that is. She decides to estimate the distance in miles. If Judy uses the fact that 1 kilometer is about 0.6 miles, what will her estimate be?
Answers
Answer:
The correct answer is 24 miles.
Step-by-step explanation:
Since 1 x 40 = 40, we must multiply 0.6 by 40.
0.6 x 40 = 24
Therefore, the tour is an estimate of 24 miles.
Which sentence is correct?
A.-3 > 2
B.-3 < -6
C.-3 > - 8
D.-3 > -2
(please hurry :'D)
Answers
Answer:
Step-by-step explanation:
Option A & D are correct Option.
Please help.
Question
Evaluate.
−[−1 1/5÷0.6(1.3)]−5/6
What is the value of the expression?
Enter your answer as a simplified mixed number in the box.
Answers
Answer:
−[−1 1/5 ÷ 0.6(1.3)] − 5/6
First, let's simplify the expression within the square brackets:
−1 1/5 ÷ 0.6(1.3)
To simplify this, let's convert the mixed number to an improper fraction:
−6/5 ÷ 0.6(1.3)
Next, we multiply 0.6 by 1.3:
−6/5 ÷ 0.78
To divide fractions, we can multiply by the reciprocal:
−6/5 * (1/0.78)
Now, let's multiply the numerators and denominators:
-6/5 * 1/0.78 = -6/5 * 1/0.78 = -6/3.9
To simplify this fraction, we can multiply both the numerator and denominator by 10 to eliminate the decimal:
-6/3.9 * 10/10 = -60/39
Now, let's simplify the expression further:
−60/39 − 5/6
To add or subtract fractions, we need a common denominator. In this case, the least common multiple (LCM) of 39 and 6 is 78:
−60/39 − 5/6 = −(60/39 * 2/2) − 5/6 = −120/78 − 5/6
Now, we can combine the fractions:
−120/78 − 5/6 = (−120 * 6)/(78 * 6) − 5/6 = −720/468 − 5/6
To subtract the fractions, we need a common denominator:
−720/468 − 5/6 = −720/468 − (5 * 78)/(6 * 78) = −720/468 − 390/468
Now, we can combine the fractions:
−720/468 − 390/468 = (−720 − 390)/468 = −1110/468
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 78:
−1110/468 = (−1110 ÷ 78)/(468 ÷ 78) = −15/6
The simplified fraction is −15/6.
However, the question asks for the value as a simplified mixed number. To convert the fraction to a mixed number, we divide the numerator by the denominator:
−15 ÷ 6 = −2 remainder 3
Therefore, the value of the expression is -2 3/6, which can be further simplified as -2 1/2.
So, the value of the expression is -2 1/2.
Step-by-step explanation:
Find the volume of a prism. Show your work.
Answers
Answer:
Step-by-step explanation:
11 times 22
the area of its cross-section multiplied by the length
answer: 242cm squared