Which graph shape represents the polar curve r = 1 + 4sin(θ)?
a cardioid
a rose curve
a limaçon with an inner loop
a limaçon without an inner loop

Answers

Answer 1

Answer:

A cardioid

Step-by-step explanation:

A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.

The equation of vertical cardioid is [tex]r=a[/tex] ± [tex]a\sin \theta[/tex]

Given the polar curve is [tex]r=[/tex] [tex]1+[/tex] 4 [tex]\sin \theta[/tex]

This is an equation of vertical cardioid.

So, it represents a cardioid.

Answer 2

Answer:

C - a limaçon with an inner loop

Step-by-step explanation:

If you have a graphing calculator, use it to plug in the equation.

Based on what you have learned, you will recognize the graph is C


Related Questions

the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p

Answers

Answer:

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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

To solve more questions on equation modelling, visit the link below-

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If f(x) = 7(x - 1) + 8, find the value of f(1)
answer fast.

Answers

f(x) = 7(x-1)+8, so f(1) = 7(1-1)+8 [sub the x value in] = 7-7+8 = 8

Answer:

7x+1

Step-by-step explanation:

Use the distributive property to multiply 7 by x−1.

7x−7+8

Add −7 and 8 to get 1.

7x+1

Please help! Thanks!​

Answers

Answer:

G.) 6

Step-by-step explanation:

The way the question is worded leads me to believe you're looking for the range. In this case, it is 6, because 12 (the greatest valued data point) minus 6 (the least valued data point) is 6.

Solve for a!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

the fraction has to equal to 2

-2+4=2

so a/2=4

or 4/2=2

Jamal discovers that the sum of Point B and Point C is zero. A number line with points A, blank, B, blank, 0, blank, C, D, blank. Which sentence is a correct statement about points B and C? Point B is twice the distance to the left of zero as C is to the right of zero. Point B is the opposite of Point C. Point B has a value of 0 and Point C has a value less than 0. Point B is positive, while Point C is negative.

Answers

Answer:

point b is twice the distance

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

100

Please help me I've been dying for twelve minutes.

Answers

1 goes on the first on -1 goes on the second

- 1/125 goes on the last one and -125 the third one

sqrt((1, 476 + 274(341 - 48))/2)

Answers

is this the equation ??

What is the measure of angle 1

Answers

Answer: 100

Step-by-step explanation:

It is an alternate interior angle.

What is the slope of the line represented by the equation y = 4/5x - 3

Answers

Answer:

the slope 4/5x and the y intercept is -3

Step-by-step explanation:

5 x 10^8 - 3.4 x 10^8 =
In Scientific notation PLS HELP

Answers

Answer:

[tex] 1.6 \times 10^8[/tex]

Step-by-step explanation:

[tex]5 \times 10^8 - 3.4 \times 10^8 \\ \\ =(5 - 3.4 ) \times 10^8 \\ \\ =1.6 \times 10^8[/tex]

find the slope of the given line

Answers

Answer:

6/5

Step-by-step explanation:

Answer:

the slope is -6/5

Step-by-step explanation:

Write a compound inequality that represents the following phrase.
all real numbers that are between -4 and 8

A. -4< n<8 B.-4< n< 8
........._................._.. _
C.-4<n< 8 D.-4<n<8
............_​

Answers

Answer:

A. -4< n<8 B.-4< n< 8

Step-by-step explanation:

Answer:

D.-4<n<8

Step-by-step explanation:

thanks guys i only got one question wrong

Answers

Answer:

Let me help you next time! congrats tho

Answer:

on what field of math?

Step-by-step explanation:

Congrats! Was it a big assignment?

Which inequality is represented by this graph?

Answers

Answer:

The answer is D

Step-by-step explanation:

The line is going to the right side so that means that x must be greater than -53 and the dot is filled in so it is also equal to

The answer is D I believe

hope this helped :)

I'm very confused, I don't know where to even start! Please help me!!

Answers

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find width of the rectangle, BD:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = BD

Adjacent = 7 cm

Plug in the values

[tex] \sqrt{3} = \frac{BD}{7} [/tex]

Multiply both sides by 7

[tex] 7\sqrt{3} = BD [/tex]

[tex] BD = 7\sqrt{3} [/tex]

✔️Using trigonometric ratio, find height of the rectangle, BF:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = 6 cm

Adjacent = BF

Plug in the values

[tex] \sqrt{3} = \frac{6}{BF} [/tex]

[tex] BF = \frac{6}{\sqrt{3}} [/tex]

Rationalize

[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]

[tex] BF = \frac{6\sqrt{3}}{3} [/tex]

[tex] BF = 2\sqrt{3} [/tex]

✔️Perimeter of rectangle BDEF:

Perimeter = 2(BD + BF)

Plug in the values

[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]

[tex] Perimeter = 2(9\sqrt{3}) [/tex]

[tex] Perimeter = 18\sqrt{3} [/tex]

✔️Area of the rectangle BDEF:

Area = BD × BF

Plug in the values

[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]

[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]

[tex] Area = 14 \times 3 [/tex]

[tex] Area = 42 [/tex]

Parker grew
21 inches each year for the past 3 years. How many inches total has Parker grown in the past 3 years

Answers

Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

21x3=63

A certain brand of tea costs $7.99 for 16.2 ounces.

What is the unit rate?

Enter your answer, rounded to the nearest cent, in the box.

$
per ounce

Answers

Answer:

49 cents per ounce

Step-by-step explanation:

49 cents per once,because if you divide $7.99/16.2 once’s you’ll get .49 cents :)

Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B.

Answers

Answer:

The scale factor is 1/2

Step-by-step explanation:

I have a different one but it was supposed to be 1/4

Elena is binding a small booklet with a spine that is 21/4 inches long. She uses staples that are 7/16-inch long. If she puts the staples end-to-end through the booklet, without gaps or overlaps between them, how many staples would it take to bind the booklet?

Answers

Answer:

12 staples

Step-by-step explanation:

So the first thing we have to do is find the G.C.D (Greatest Common Denominator) between 21/4 and 7/16 which of course is 16 so your new fractions would be 84/16 and 7/16.

Now we have to divide both numbers I just used a fraction calculator for this but basically you multiply 84/16 by the reciprocal of 7/16 which is 16/7 and simplify which equals 12.

So it would take 12 staples to bind the booklet

Pls I NED HELP ASAP I ONLY HAVE 10 MINUTES

Answers

Answer:

20

Step-by-step explanation:

when a letter and a number are next to each other u have to multiply, so x is 5 so 3 x 5 is 15. 15 plus 5 is 20 so 20 is ur answwer

Answer:

20

Step-by-step explanation:

x= 20

3x+5 replace x with 5 than do 3x5=15+5=20

5−a+4a=
please show work :)

Answers

that doesn’t give us enough information. there must be something else on your assignment you’re forgetting to give us

Answer:

5 + 3a

Step-by-step explanation:

5 - a + 4a =

5 + ( -a + 4a ) =

5 + ( 4a - a ) =

5 + ( 3a )

In triangle ABC, m angle A = 30° and m angle B = 60°. Matches these in the order from smallest to largest. AB, BC, AC

Answers

Answer:

ab, ac, bc

Step-by-step explanation:

a=30, b=60, c=180-(30+60) = 180-90=90

The answer is ab, ac, and bc I hope this helped :)

helppp i don’t know the answer

Answers

I believe the answer is the first one ! Keep in your mind that the first part of the ordered pair is always the domain , and the second part of the ordered pair is the range !!
Don’t forget a brainliest if this helped ;)

The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation of 2.5 inches what percentage of women are taller than 70.5 inches?

Answers

Answer:

2.275%

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)SD

here, x = 70.5

mean = 65.5

SD = 2.5

Substituting these values;

z = (70.5-65.5)/2.5

= 5/2.5 = 2

So we want to calculate the probability that;

P( z> 2)

We check the standard normal distribution table for this

That will be

0.02275

In percentage, this is 2.275 %

whats the worlds biggest number ?

Answers

The biggest named number that we know is googolplex, ten to the googol power, or (10)^(10^100). That's written as a one followed by googol zeroes.

Have a Merry Christmas!

Shane and Gemma share 35 sweetss in the ratio 1 : 4 Gemma eats 10 of her sweets and then gives Shane 1/2 of the sweets she has left. H ow many sweets does Shane have now?​

Answers

Answer:

14 sweets

Step-by-step explanation:

5x+35

x=7

7*4=28

(28-10)/2=7

7+7=14

In ΔEFG, e = 82 cm, ∠G=35° and ∠E=51°. Find the length of f, to the nearest 10th of a centimeter.

Answers

Answer:

105.3

Step-by-step explanation:

deltamath

Question: Tell whether each function is linear or non-linear.


Choices:

A. Function A is non-linear and Function B is non-linear.

B. Function A is linear and Function B is non-linear.

C. Function A is linear and Function B is linear.

D. Function A is non-linear and Function B is linear.

Answers

Just to avoid some confusion: the first picture is a graph of function A, and the second picture is a graph of function B.

Answer:

D. Function A is non-linear and Function B is linear.

Step-by-step explanation:

A good way to find out if a function is linear is by graphing it. If you graph it and it is a straight line, then it is linear.

So, let's graph the given points from the table of Function A and see if it forms a straight line. When you connect the dots, it's not straight, so Function A is non-linear.

Now let's look at function B. We can graph that too with the given information from the equation - the slope is -1 and the y-intercept is 5. (If you are a bit confused on how to graph it, don't hesitate to ask!) It does form a straight line, so Function B is linear.

The solution is Option D.

Function A is non-linear and Function B is linear.

What is Linear Equation in 2 variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given data ,

Let the first equation be A

Let the second equation be B

where

The function A is represented by y = x³

The function B is represented by y = -x + 5

Now ,

We can see that the linear equation A is of the form y = x³ , and this is a cubic relation and it is a non linear graph

The function B is a linear equation of the form y = mx + c , which is the linear equation for a line with slope -1

So , the function B y = -x + 5 is linear

Hence , the Function A is non-linear and Function B is linear.

To learn more about linear equation in 2 variables click :

https://brainly.com/question/11897796

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Junior's brother is 1\dfrac121 2 1 ​ 1, start fraction, 1, divided by, 2, end fraction meters tall. Junior is 1\dfrac151 5 1 ​ 1, start fraction, 1, divided by, 5, end fraction of his brother's height.

Answers

Answer:

1 4/5 meters

Step-by-step explanation:

Juniors brother = 1 1/2 meters tall

Junior is 1 1/5 of his brother height

Junior = 1 1/5 of 1 1/2

= 6/5 × 3/2

= 6 * 3 / 5 * 2

= 18/10

= 1 8/10

= 1 4/5 meters

Junior is 1 4/5 meters tall

Answer:

1 4/5

Step-by-step explanation:

its on khan (: trust me

A migrating bird flies 42 miles in 3 hours. How many miles does it fly in 5 hours?

Answers

42/3 = 14 miles per hour
14 * 5 = 70
Solution: 70 miles

Answer:

70 miles.

Step-by-step explanation:

In this question we are given the speed of the migrating bird. If we remember the definition of speed we will remember that speed is distance the object/body traveled, divided by the time it took the object/body to travel this distance.

Solution:

Firstly we need to find out what distance will the bird travel in 1 hour.  We can easily do that science we know the distance it travels in 3 hours. So we just use the property of a fraction that states that if we multiply or divide the denominator and the numerator by the same number we will get a fraction of the same value but written a bit differently. So we divide the numerator and the denominator by 3 and get

[tex]\frac{42 miles}{3 hours}[/tex] = [tex]\frac{14 miles}{1hour}[/tex]

Now we know what distance the bird travels in one hour so we can easily figure how much the bird will travel in 5 hours by multiplying the numerator and the denominator by 5. So we do...

[tex]\frac{14 miles}{1 hour}[/tex] = [tex]\frac{70 miles}{5 hours}[/tex]

And we get that the bird will travel 70 miles in 5 hours.

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