What is the name of the shape depicted in the graph below?
A. Limaçon
B. Lemniscate
C. Rose
D. Cardioid

Answers

Answer 1

Answer: Lemniscate

Step-by-step explanation:

Answer 2

The name of the shape depicted in the graph is Lemniscate option (B) is correct.

What is lemniscate?

It is defined as a two-dimensional shape that has a two-closed curve that meets at the center. The shape exactly looks like a mathematical symbol infinity ∞

The lemniscate is a Greek word that means a ribbon because the shape looks like a ribbon.

The algebraic equation for the lemniscate is given by:

[tex]\rm \left(x^{2}+y^{2}\right)^{2}=a \left(x^{2}-y^{2}\right)[/tex]

Where a is the constant.

If we put x = 0 and a = 1 we get y = 0

If we put x = 1 and a = 1 we get y = 0

If we put x = -1 and a = 1 we get y = 0

And so on we will get a curved shape shown in the picture.

Thus, the name of the shape depicted in the graph is Lemniscate option (B) is correct.

Learn more about the lemniscate here:

https://brainly.com/question/12478682


Related Questions

can someone help me please! it's dude today in 30 minutes & i am having a hard time .

Answers

x = 109

Step-by-step explanation:

1. All of a triangles angles will add up to 180 degrees

2. Take 180 then subtract 48 from 180

3. Your new number is now 132. Take 132 then subtract 23.

4. Answer is 109

Answer:

x=109°

Step-by-step explanation:

In a triangle, all the angles have to add up to 180° and so add and then subtract to find x

48+23=71

180-71=109

so, x=109°

at a Noodles & Company restaurant the probability that a customer will order a non alcoholic beverage is .48. find the probability that in a sample of 12 customers none of the 12 customers order a non-alcoholic beverage.

How do I find this?​

Answers

Answer:

Probability is 0.00039, or about a 0.039% chance of occurrence

Step-by-step explanation:

Because you know that p=0.48 is the probability that a customer will order a non-alcoholic beverage, then q = 1-p = 1-0.48 = 0.52 is the probability that a customer won't order a non-alcoholic beverage. Because 12 customers are involved, then by the binomial theorem, the probability that none of the 12 customers order a non-alcoholic beverage is p = (0.48)⁰(0.52)¹² ≈ 0.00039 or 0.039%

Surface area of a cylinder. (see attached image please)

Answers

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

Firstly you need to remember the formula to find out surface area of a cylinder - Surface area of a cylinder = 2πr ( r + h ) where r is the radius of a circular face and h is the height of the cylinder.

We're provided : Diameter of cylinder = 12 which means radius ( r ) = 6 cm [ Radius is the half of diameter ] & Height ( h ) = 25 cm & we know pi ( π ) = 22/7.

[tex] \large{ \tt{❁ \: LET'S \: SOLVE}} : [/tex]

[tex] \large{\boxed{ \tt{☄TOTAL \: SURFACE \: AREA \: OF\: CYLINDER= 2\pi \: r \: ( \: r + h)}}}[/tex]

- Plug the values & then simplify !

[tex] \large{↦2 \times \frac{22}{7} \times 6(6 + 25) }[/tex]

[tex] \large{↦2 \times \frac{22}{7} \times 6 \times 31}[/tex]

[tex] \boxed{\large{↦1169.14 \: \tt{ {cm}^{2} }}}[/tex]

Hence , The surface area of given cylinder is 1169.14 cm²

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I need help






Cristina and Kori both leave the restaurant at the same time, but in opposite directions. If Kori travels 9 mph faster than Cristina and after 6 hours they are 186 miles apart, how fast is each traveling?



Carrie left the restaurant traveling 12 mph. Then, 4 hours later, Leah left traveling the same direction at 24 mph. How long until Leah catches up with Carrie?



Paige started biking to the mall traveling 8 mph, after some time the bike got a flat so Paige walked the rest of the way, traveling 5 mph. If the total trip to the mall took 8 hours and it was 46 miles away, how long did Paige travel at each speed?

Answers

Answer:

Question 1)

Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.

Question 2)

Four hours.

Question 3)

Paige spent two hours biking and six hours walking.

Step-by-step explanation:

Question 1)

Let Cristina's speed be x.

Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (x + 9).

After six hours, Cristina would have traveled 6x miles and Kori would have traveled 6(x + 9) miles.

Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(x + 9) miles away from the restaurant while Cristina is 6x miles away from the restaurant.

Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:

[tex](6x)-(-6(x+9))=186[/tex]

Distribute:

[tex]6x-(-6x-54)=186[/tex]

Distribute:

[tex]6x+6x+54=186[/tex]

Simplify:

[tex]12x=132[/tex]

Hence:

[tex]x=11[/tex]

Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.

Question 2)

Let h represent the amount of time that has passed in hours.

Carrie left the restaurant traveling 12 miles per hour.

Four hours later, Leah left traveling in the same direction at 24 miles per hour.

After four hours, Carrie would have traveled 12(4) = 48 miles.

Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:

[tex]12h+48[/tex]

Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:

[tex]24h[/tex]

Leah will catch up when the two expressions are equivalent. Hence:

[tex]12h+48=24h[/tex]

Solve for h:

[tex]12h=48\Rightarrow h=4[/tex]

Leah will catch up with Carrie in four hours.

Question 3)

Let x represent the amount of hours spent biking and y represent the amount of hours spent walking.

The total trip to the mall took eight hours. Hence:

[tex]x+y=8[/tex]

The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:

[tex]8x+5y=46[/tex]

Solve the system. We can use elimination. Multiply the first equation by -5:

[tex]-5x-5y=-40[/tex]

We can add this to the second equation:

[tex]3x=6[/tex]

Hence:

[tex]x=2[/tex]

Using the first equation again:

[tex](2)+y=8\Rightarrow y=6[/tex]

So, Paige spent two hours biking and six hours walking.

For the sample standard deviation(s) for situations involving means, explain whether it affects the width of a confidence interval, the center of a confidence interval, neither, or both.

Answers

Answer:

Affects the width of a confidence interval, as the margin of error is a function of the sample standard deviation.

Step-by-step explanation:

When we have the standard deviation for the sample, the t-distribution is used to solve the question.

It does not affect the center of the interval, which is a function only of the sample mean.

Width of a confidence interval:

The width of a confidence interval is a function of the margin of error, which is:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

In which s is related to the sample standard deviation. Thus, since s and M are directly proportional, a higher standard deviation makes the interval wider, lower standard deviation makes the interval narrower, and thus, the sample standard deviation affects the the width of a confidence interval.

Which of these are polygons?
On
А
B
o
D
F
G
G

Answers

Answer:

B C and F

Step-by-step explanation:

Polygons are closed shaped with straight lines

D and E have curves therefore they cannot be classified as polygons

A is not closed therefore it A is not a polygon

B, C and F are closed and use only straight lines therefore those 3 are polygons

Answer: B C and F (but I cant see G!)

Explanation: Polygons are anything with multiple sides. Also, it has to be a closed figure. Anything circular is NOT a polygon.

Hope this helped!! :))

What combination of variables could you analyze using correlation?

religious identification & life satisfaction

IQ score and annual income

ethnic identification & average # of children

preferred genre of music & age

Answers

Answer:

YOu have to add them i think

Step-by-step explanation:

First add the 3-4 and then finish it

For vectors u = i + 6j, v = 5i – 3j, and w = 9i – 2j, determine u • w + v • w.

27

18

90

48

Answers

Answer:

This is the explanation you can find answer by rolling it.

1. A is a quadrilateral with exactly one
pair of parallel sides.

Answers

What is the question your trying to get the answer to?

abby went to the movies and buy a large container of popcorn. The popcorn container can be modeled by a right circular cone with a diameter of 9 inches and a height of 10 inches. Popcorn has a density of 34 ounces per cubic foot. If a continer of popcorn costs $8, what is the price per ounce

Answers

Answer:

$1.918

Step-by-step explanation:

The volume of a right circular cone is obtained using the formular :

V = 1/3πr²h

From the question:

Diameter = 9 inches ; height = 10 inches

Radius = diameter /2 = 9/2 = 4.5 inches

V = 1/3*π*4.5²*10

V = 211.95 in³

Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³

Density of popcorn = 34 ounces / ft³

Density of popcorn CONTAINER = x

1 ft³ = 34 ounce

0.12265625 ft³ = x

Cross multiply

x = 34 * 0.12265625 ft³

x = 4.1703125 ounce

Hence, popcorn continer has a density of 4.1703125 ounce

If price per container = $8

The price per ounce = $8 / 4.1703125

= $1.918

Hence, price per ounce is $1.918

What is the square root of -1?

Answers

Does not exist cause even on the calculator it will say math error

HELP ASAP I WILL GIVE BRAINLIST

Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and explain all work.
a. Write the exponential growth function to represent this function.
b. What will the population be in 2022? Round your answer to the nearest person

Answers

Answer:

A: the function is 537(0.3x)

B: so we just plug in the numbers where x is that amount of years so

52 years from 1970 so 2022

537(1.56)

x=837.72

so the answer is 838

Hope This Helps!!!

(4-2)^2x5+9
Answer+step by step

Answers

Answer:

4-2 = 2

2x5+9 = 19

2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288

Answer:

29

Step-by-step explanation:

Use PEMDAS

P- Parenthesis

E- Exponents

M- Multiply

D- Divide

A- Add

S- Subtract

(4-2)^2×5+9 first you do parenthesis which is (4-2)=2

(2)^2×5+9 next the exponents (2)^2=4

4×5+9 now the multiplication, 4×5=20

20+9 And now finish it off with the addition

So the answer ends up being 29.

Please help image attached

Answers

Answer:

hope it helps mark as brainliest

Find the perimeter of this quarter circle with radius,
r
= 2mm.
Give your answer as an expression in terms of
π
.

Answers

Answer:

pi

Step-by-step explanation:

First find the circumference of the circle

C = 2 * pi*r

C = 2 * pi *2

C = 4pi

A quarter circle is 1/4 of a circle

1/4 C = 1/4 (4pi)

1/4C = pi

Which expression is equivalent to 5^6?

Answers

The answer would be the second one

80ft
18ft
what is the length of the hypotenuse in feet?​

Answers

Answer:

Solution given:

perpendicular [P]=80ft

base[B]=18ft

hypotenuse [H]=?

By using Pythagoras law

H²=P²+B²

H²=80²+18²

H=[tex]\sqrt{6724}=82[/tex]

the length of the hypotenuse in feet is 82ft.

a graph of a non-vertical straight line is a?
a) nonlinear function
b) exponential function graph
c) non-function
d) linear function

Answers

Answer:

The correct answer is d

Step-by-step explanation:

A graph of a non-vertical straight line is a linear function

What is the end behavior of (x, 1) and (5x, -3)?

Answers

Answer:

The leading term is 5x8. Since n is even and a is positive, the end behavior is down and up.

Janice wants to find the area of a square tabletop. She uses the formula for the area of a square: A=8x2 where 8 is the length of one side of the square .if 8=3 feet what is the area of the tabletop?

Answers

Answer:

12

Step-by-step explanation:

because you replace  8 with 3

side lengths and angle measures in similar figures ​

Answers

Step-by-step explanation:

You can see the full detailed explanation in the attached files

I really need help! Please find the area of the polygon?​

Answers

Answer:can you help me

write a letter to your friend about important of reading books?

Answer:

Area = 189 m^2

Step-by-step explanation:

This is a trapezium with height h=9m, base, b = 24, top, t = 18.

The area is given by

A = (base+top)*height/2

= (24+18)*9/2

= 189 m^2

a patient is advised to supplement her diet with 3g of calcium per day. The calcium tablets she purchases 300mg per tablet. How many tablets should the patient take per day?​

Answers

Answer:

Number of tablet needed = 1 tablet

Step-by-step explanation:

Given:

Amount of calcium per day needed = 3 gram

Amount of calcium in a tablet = 300 mg

Find:

Number of tablet needed

Computation:

Number of tablet needed = Amount of calcium per day needed / Amount of calcium in a tablet

Number of tablet needed = 3gram / 300 milligram

Number of tablet needed = 300 milligram / 300 milligram

Number of tablet needed = 1 tablet

QUESTION 5 of 10: You have a choice of a $2,000 rebate on a $13,000 vehicle or 18% off. Which is better?
O a) Rebate
Ob) 18% off
Submit
C2021 Knowledge Matters, Inc.
Lesson
Estimated time: 60 minutes

Answers

Answer:

18% off

Step-by-step explanation:

i just took the test

Your checking account is in debt $20. You use this account to make a $10 purchase. Then, you deposit $38 into the account. What is the balance of the checking account?

Answers

Answer: 8

Step-by-step explanation

Answer:

$8

Step-by-step explanation:

If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.

[tex]-20-10+38=8[/tex]

What is the slope of the line that is parallel to the y-axis and passes through the point (–1, 5)?

–1
0
5
undefined

Answers

Undefined.

All lines that are parallel to the y-axis have an undefined slope.

Answer:

This is an Undefined Slope

3 cm
8 cm
Find surface area of cylinder

Answers

Answer: [tex]66\pi \text{ cm}^{2[/tex]

Step-by-step explanation:

[tex]S=2\pi(8)(3)+2\pi(3)^{2}=\boxed{66\pi \text{ cm}^{2}}[/tex]

WILL MARK YOU IF YOU HELP ME PLEASE!!

Answers

Answer:

84

Step-by-step explanation:

180-72-24

so the answers is 84

Answer:

84

Step-by-step explanation:

In all triangles, once the angles are added up the total will be 180° and so in this case first add then subtract.

72+24=96

180-96=84

The function f (t) = 310(0.2)24t represents the change in a quantity over 7 days,
What does the constant 0.2 reveal about the rate of change of the quantity?
the rate percentage

Answers

Answer:

80% decrease in the quantity over 7 days

Step-by-step explanation:

Given data

We have the function

f (t) = 310(0.2)24

the above function is similar to the exponential function

f (t) = P(1±r)^t

Now the value 0.2

This means that there is  80% decrease in the quantity over 7 days

shudjendndnndndjfjjjjfndjdndnjdjdjdj

Answers

Answer:

the answer is 31°...........

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