Consider the limaon with equation r = 3 + 4cos(). How does the quotient of a and b relate to the existence of an inner loop?

A polar graph that is a limacon has a formula similar to [tex]r=a+bcos\theta[/tex]Option B is correct.A limacon has a formula similar to [tex]r=a+bcos\theta[/tex]Case 1 . If a < b or [tex]\frac{b}{a}>1[/tex] Then the curve is limacon with an inner loop.Case 2. If a>b or [tex]\frac{b}{a}<1[/tex]Then the limacon does not have an inner loop.Here, given that, [tex]r=3+4cos\theta[/tex]It is observed that, a < b or [tex]\frac{b}{a}>1[/tex]Therefore, the curve is limacon with an inner loop.Hence, option B is correct.Learn more:https://brainly.com/question/10381605

Mathematics College

Consider the limaçon with equation r = 3 + 4cos(θ). How does the quotient of a and b relate to the existence of an inner loop?

Consider The Limaon With Equation R = 3 + 4cos(). How Does The Quotient Of A And B Relate To The Existence

Answers

Answer 1

A polar graph that is a limacon has a formula similar to [tex]r=a+bcos\theta[/tex]

Option B is correct.

A limacon has a formula similar to [tex]r=a+bcos\theta[/tex]

Case 1 . If a < b or [tex]\frac{b}{a}>1[/tex]

Then the curve is limacon with an inner loop.

Case 2. If a>b or [tex]\frac{b}{a}<1[/tex]

Then the limacon does not have an inner loop.

Here, given that, [tex]r=3+4cos\theta[/tex]

It is observed that, a < b or [tex]\frac{b}{a}>1[/tex]

Therefore, the curve is limacon with an inner loop.

Hence, option B is correct.

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Related Questions

5x + 8 in algebraic expression

Answers

The expression is:
5
⋅
x
+
8
Turn into words:
5 times a number
x

5
⋅
x

plus
8

+
8
Five times the number
x
is equal to
8
.

An angle measures 14° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

38 and 52

Step-by-step explanation:

x = small angle

Complementary angles add to 90 degrees

x + x+14 = 90

2x = 76

x= 38

90-38 = 52

52-14 = 38

38 +52 = 90

help meeee pleaseeeeee

Answers

Answer: B, angle 1 and angle 7.

Step-by-step explanation: Of all the options provided, B is the only one where the the two angles are not congruent to each other. Also, same side interior angles are congruent, so...

Divide. What is the remainder?

93 ÷ 4

there is no remainder

1

2

3

Answers

The remainder is .25 the complete answer is 23.25

The answer is 2. I just did the work and check my answer using a website. I hope that helps. :)

Emily spent eight hours working on creating a website. She charges $48 upfront for the setup and then an additional charge per hour. The total amount she earned can be represented by the ex[ressopm $8x+$48. What expression represents the amount she earns each hour?

Answers

Answer:

Step-by-step explanation:

Funny, because I'm learning this right now. 8x because x represents the number of hours and 8 represents the number of money earned per hour. I may be wrong though, so please correct me if I am. Everybody makes mistakes.

Answer:

Step-by-step explanation:

It just is.

Dawn's credit card has an APR of 15%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. Her credit card record for the last 7 months is shown in the table
below.

Answers

The total amount that Dawn has paid in interest over the 7 months is $125.13

What is the basis for computing the interest paid monthly?

The interest in a month is computed on the ending balance as at last month, in other words, in month 7, the interest is based on the ending balance in month 6, bearing in mind that the interest paid in month 7 is based on month 6 ending balance

interest in month 7=APR/12*month 6 balance

APR=annual percentage rate=15%

month 6 balance=$1,637.20

interest in month 7=$1,637.20*15%/12

interest in month 7=$20.47(closest to $20.46)

total ending balances=($1,700+$1687.25+$1674.60+$1662.04+$1649.57+$1637.20)

total ending balances=$10010.66

total interest=$10010.66*15%/12

total interest=$125.13

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B) 125.13 is correct

Step-by-step explanation:

Can someone please help me

Answers

50% is more as 50% of 60 is 30. if it was 25 dollars off, it would be 60-25 which is 35. in conclusion the green coupon or the 50% off coupon, is better!

A baby weighed 7.5 pounds at birth. At the end of 11 months, the baby weighed 2 times its birth weight. How many pounds did the baby weigh at the end of 11 months?

Answers

Answer:

15. yessir thats itbro

5081 divided by 203, the quotient is? Siusjsia

Answers

Answer:

The quotient is 25.0295566502.

Simplify. 31 - 48 + 7

Answers

Answer:

-10

Step-by-step explanation:

Its always best to plug in your equation in the calculator after you solve an equation to see if your answer is correct.

Whar is the square root of 9604?

Answers

Answer:

Step-by-step explanation:

the square root of 9604 is 98 which lie between 97 and 99

What is the equation in slope-intercept form of the line that passes through points (-4,2) and (12,6)

Answers

y=o.25x+3 is your equation.

(0,b)
(-a, 0)
(0,0)
(a,0)
(0, -b)

Answers

????

where’s the question ?

Is the product of opposites always 1

Answers

Answer:

yes

Step-by-step explanation:

hope it helps!

Answer:

Yes, the product of a number and its opposite is always 1, and the opposite of a negative number is always a positive number.

Given the function below, evaluate h(2) for x = -2
h(x) = -4x2 + x +1

Answers

The answer will be -13. Hope this helps!!

Mary has 115 books that need to be shipped. She packs the books in boxes. Each box holds 17 books. How many boxes will she need?

Answers

Answer:7 boxes

Step-by-step explanation:

She has 115 books which each box hold 17 so 115/17 is 6. Something so you have to round it to 7 to be able to fit them all

please help with both questions

Answers

Answer:

See comment

Step-by-step explanation:

13 lawns

Convert 70°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=-(F-32)
9
F=-C +32
5
70 °F =
Х
?

Answers

Answer:

C=(F-32)×5/9

C=(70-32)×5/9

C=38×5/9

C=21.1111

C=21°C

The function f is defined as

Answers

f(2) = 2^2 + 2 + 1
= 4 + 2 + 1
= 7

defined as flower

flowers are smelly

smelly are dogs

dogs are fat

fat is trump

trump is depressed

depressed is Billie Eillish

Billie Eillish is a dude

dude is Ellen De Generous

thats it

i cant go no further

5 points please thankyou

Fill in the missing term and select the missing description. Simplify any fractions.
2t + 2 = 20
2t = 18
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 2
Divide both sides by 2
Apply the distributive property

Please tell me what t is too

Answers

Answer:

t = 18/2

= 9

Sorry only thing I know is this!!

The value of t from the given equation is 9.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 2t+2=20.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 2t=18 (Subtract 2 on both the sides of an equation)

t=9 (Divide 2 on both the sides of an equation)

Therefore, the value of t from the given equation is 9.

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When evaluting an expression, is it easier to combine terms first or substitute values first? PLSSSS ANSWERRR ILL GIVE BRAINLIEST

Answers

Answer:

What do you mean by combining terms?

If you have an equation like y=3(2+x), then you would need to substitute for x before you combined the terms "2" and "x"

If you mean combine LIKE terms then I would do that first, if not then I would substitute the values

4
A gazelle can run at a rate of 65 miles per hour. Is this a faster or slower rate than a cheetah, which takes 30 minutes to swim 32 miles? Show your work.

Answers

Answer:

Faster

Step-by-step explanation:

We can find their rates by dividing the number of miles by number of minutes:

First, find the gazelle's. Convert the 1 hour to 60 minutes:

65/60

= 1.083

Then, find the cheetah's:

32/30

= 1.067

Since 1.083 is bigger than 1.067, the gazelle has a faster rate than the cheetah.

Clay took 73 photos. He took 14 of monkeys,21 of tigers, and 13 of bears how many of other animals did clay take

Answers

Answer:

Clay took 25 photos of animals that were not monkeys, tigers, or bears.

Step-by-step explanation:

73 - 14 - 21 -13 = 25

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!

Answer:

Clay took 25 photos of other animals

Step-by-step explanation:

14 of monkeys + 21 of tigers + 13 of bears = 48 pictures

Subtract 48 from 73

73-48= 25

answer pls hurry need this asap

Answers

The equation is y = -6x - 8

Answer:

y=-6x-8

Step-by-step explanation:

well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6

Tell whether the statement is true or false. Explain. If p/q= 3/5 , then 5/p=3/q

Answers

Answer:

THIS IS FALSE.

Step-by-step explanation:

MARK BRAINLIESSSTTTTT I NEED 2 MORE SO I CAN RANKUPP

Where is the function decreasing?
A) 1 < x < ∞
B) 3 < x < ∞
C) -∞ < x < 1
D) -1 < x < ∞

Answers

Answer:

I think that the answer is D

I think it’s d.because of the negative one and that means decreasing to me hope this helps

PLEASE HELP I WILL MARK BRAINLYEST. 50 POINTS PLEASE. I WILL REPORT ABSURD ANSWERS. MY QUESTIONS ARE THE IMAGES BELOW

Answers

Answer:

1, 3, 4- yes, 2- no

Step-by-step explanation:

Yes, it is functionx-values are unique and each has one corresponding y-value

No, it is not a functionx-values are repeated with different y-value: (13, 4) and (13, -4)

Yes, it is a functionIf you put a vertical line, there will always be one intersection with the graph

Yes, it is a functionThis will produce a parabola which is a graph of a normal function with unique x-values and corresponding y-values

Dimitri has a pool surrounded by concrete in his backyard. The dimensions of his backyard are 12x+2 units by 14x-2 units. The dimensions of his pool are 5x-3 units by 2x units. If he wanted to put Astroturf in place of the concrete, what area does the concrete take up? If he wants to put a fence around the entire backyard, how many units of fencing would he need?

Answers

Answer:

Step-by-step explanation:

3.3 Practice - Piecewise Functions
Find the value of the given function at the indicated domain value.
-X2 - 5x + 2, x < 1
2x2 - 2x + 1,
xs-6
g(x) = x3 - 5x, 1 < x < 11
h) =
3x – x3 -3 3x - 16,
X > 11
(2x - (x - 100
x > 1
1. g(1) =
2. g(11) =
3. h(5) =
4 h(-10) =
5. g(-1) =
6. h(0) =
7. g(20) =
8. h(-4)=

Answers

Answer:

Step-by-step explanation:

1. g(1) = (1)³ - 5(1) = - 4

2. At x = 11 function g(x) is not defined,

3. h(5) = 2(5) - | 5 - 10 | = 5

4 h( - 10) = 2( - 10)² - 2(- 10) + 1 = 221

5. g(- 1) = - (- 1)² - 5(- 1) + 2 = - 1 + 5 + 2 = 6

6. h(0) = 3(0) - (0)³ = 0

7. g(20) = - √[3(20) - 16] = - 2√11

8. h(- 4) = not defined

The value of each function is shown below.

What is Function?

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

From the given function we can find the values as:

g(1) = x³ - 5x

g(1) = 1³ -5 = -4

2. For x= 11 the function g(x) is not defined.

3. h(5) = 2x - |x -10|

h(5) = 4

4. h(-10) = 2x² - 2x + 1

h(-10) = 221

5. g(-1) = -x² -5x + 2

g(-1) = 6

6. h(0) = 3(0) - (0)³

h(0) = 0

7. g(20) = - √[3(20) - 16]

g(20) = - 2√11

8. h(- 4) is not defined for the function h(x).

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Solve
72 + 4 - 4x = 36

Answers

Answer:

x=10

Step-by-step explanation:

We first need to combine like terms

76-4x=36 We will then use inverse operations to find x

-4x=-40 Continue using inverse operations

x=10

Answer:

76-4x=36

-4x=-40

40=4x

x=10

Step-by-step explanation:

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