The graph of r = 1/ 1-5 sin theta is symmetric about the
Answers
Answer:
A. y-axis only
Step-by-step explanation:
We have the graph of as given below.
It can be seen that passes through the points (0,0), (4,0) and (6,0).
Also, the graph is plotted in the 1st and 2nd quadrant symmetrically along the y-axis.
Hence, the axis of symmetry of is the y-axis only.
The graph of r = 1/ (1 - 5sinθ) is symmetric about the y-axis only.
How to write polar coordinates?It expresses x and y in terms of r and θ:
x = r cos(θ) , y = r sin(θ)
In polar coordinates, the x-axis corresponds to θ = π/2 and the y-axis corresponds to θ = 0 (or θ = π). So to test for symmetry, we need to check whether replacing θ with π - θ (which reflects the graph across the y-axis) or replacing r with -r (which reflects the graph across the origin) gives us the same equation.
If we replace θ with π - θ, we get:
r = 1 / (1 - 5sin(π - θ)) = 1 / (1 + 5sinθ)
This equation is not the same as the original equation, so there is no symmetry about the y-axis.
If we replace r with -r, we get:
-r = 1 / (1 - 5sinθ)
Multiplying both sides by -1, we get:
r = -1 / (1 - 5sinθ)
This equation is also not the same as the original equation, so there is no symmetry about the origin.
However, if we replace θ with π/2 - θ, we get:
r = 1 / (1 - 5sin(π/2 - θ)) = 1 / (1 + 5cosθ)
This equation is the same as the original equation, so the graph is symmetric about the y-axis.
Therefore, the graph of r = 1/ (1 - 5sinθ) is symmetric about the y-axis only.
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The complete question would be as:
The graph of r = 1/ (1 - 5sinθ) is symmetric about the __________.
A. y-axis only
B. x-axis only
C.Origin only
D.No symmetry
Related Questions
what is the area of the square that shares a side with the third side of the triangle?
Answers
Step-by-step explanation:
Cuz sides of square are same, we just find hypotenusa side of triangle (use Phytagoras Theorem) :
c² = a² + b²
c² = 2² + 4²
c² = 4 + 16
c² = 20
c = √20
Side of square is √20 units.
The area of square :
A = s²
= √20²
= √20 × √20
= 20 units²
So, the area of square is 20 units²
Hope it helpful and useful :)
What ordered pair is a solution to this system of equations?
x = -1
y = 2x + 5
Group of answer choices
(3, 1)
(-1, 3)
(-1, 8)
(8, -1)
Answers
(-1,3)
you plug -1 into the equation y=2x+5 for x since that is what x is equal to and then solve it so y= -3 then your coordinates would be (1,-3)
Explanation: If x= -1 and y=2x+5 you would need to do 2(-1)+5
2(-1)+5
-2+5
3
y=3
(-1,3)
A snail travels 1÷5♡
of an inch in an hour.
How long will it take to travel 5 inches?
[tex] \frac{1}{?5} [/tex]
Answers
Find 75% of 70.
50
62.5
52.5
25
Answers
Your answer is 52.5
Answer:
52.5
Step-by-step explanation:
What is the mean of the data set?
17, 24, 26, 13
Pls I need this fast
Answers
So the right answer is 20.
Look at the attached picture⤴
Hope it will help u...
Answer:
20 is the answer
Step-by-step explanation:
17+24+26+13=80
80 divided by how many numbers are in the data set so, 80 divided by 4 is 20.
Hoped this works!
A bakery sells giant cookies, sheet cakes and 3-tiered cakes. The time required for each step is given in the matrix below
Answers
Answer:
answer is sheet cake aka B on edge
Step-by-step explanation:
If 5x² + 7x = 6, which statement is correct?
A)
X= 2 or x= 3/5
x = -2 or x= 3/5
x = 2 or x =-3/5
x = -2 or x = -3/5
Answers
Answer:
2nd choice: x = -2 or x= 3/5
Step-by-step explanation:
5x² + 7x = 6
We can solve.
5xx + 7x - 6 = 0
try the diamond method first
-30 = 5*-6.... -3*10 = -30 and -3x + 10x = 7x
So...
5xx - 3x + 10x - 6 = 0
x(5x - 3) + 2(5x - 3) = 0
(x +2)(5x - 3) = 0
roots x = -2 and x = +3/5
Answer:
The correct answer is x=-2 or x=3/5. I found this answer by using an app called Photomath, you should download it. it really helped me :)
Which triangle is a translation of triangle P? On a coordinate plane, triangle P is shifted 5 units to the right and 7 units up to form triangle C. triangle A triangle B triangle C
Answers
Answer:
Triangle C
Step-by-step explanation:
Got it right on edge test
Answer:
c
Step-by-step explanation:
Students in the 7th and 9th grades were surveyed about whether they participate in a school sport. Some of the survey results are listed here.
50 of the 250 students surveyed participate in a school sport.
Of the 90 students in 7th grade, 72 of them do not participate in a school sport.
32 of the 9th-grade students participate in a school sport.
128 of the 9th-grade students do not participate in a school sport.
This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.
Answers
Answer:
18-72=90
32-128=160
50-200=250
Answer: 18, 160, 200
Step-by-step explanation: hope it helps...!
A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature. A number line going from negative 2 to positive 2. Which numbers are solutions of the inequality? Choose all that apply. –2 0 1 –10 –3 –1
Answers
For the inequality t < -1, the numbers that are solutions to this inequality are -2, -3, and -10, as they are all less than -1.\
The inequality in question is t < -1, which indicates that the temperature (t) is colder than -1 degrees Fahrenheit. On a number line from -2 to +2, the numbers that satisfy this inequality would be all the numbers that are less than -1. Therefore, the solutions to the inequality would be the numbers that are to the left of -1 on the number line.
-2
-3
-10
The numbers 0, 1, and -1 do not satisfy the inequality because they are not less than -1.
The histogram shows the distributions of essay scores for high school sophomores and juniors in a contest. Which comparison of the distributions is true? Both distributions are nearly symmetric. Both distributions are right-skewed. The distribution of sophomores’ scores is right-skewed, and the distribution of juniors’ scores is left-skewed. The distribution of sophomores’ scores is left-skewed, and the distribution of juniors’ scores is right-skewed.
Answers
Both distributions are nearly symmetric. And the correct answer is A.
What is a distribution?The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.
A histogram is a graphical illustration of information in bars of diverse heights.
A histogram displays the shape and spread of continuous sample data.
The true statements about the data of essay scores for high school sophomores and juniors in a contest are;
the juniors tended to have higher essay scores than the sophomores, the medians of both data sets are equal,
and the histogram is the best way to show that both distributions are nearly symmetric.
Therefore, distributions are symmetric.
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Solve for f.
-f + 2 + 4f = 8 - 3f
Answers
-f +2+4f = 8-3f
3f+2 = 8-3f
6f = 6
f = 1
Answer:
f = 1
Step-by-step explanation:
Isolate the variable, f. Note the equal sign, what you do to one side, you do to the other.
Add 3f and subtract 2 from both sides:
-f + 2 (-2) + 4f (+3f) = 8 (-2) - 3f (+3f)
-f + 4f + 3f = 8 - 2
Simplify:
(-f + 7f) = 6
7f - f = 6
6f = 6
Isolate the variable, f. Divide 6 from both sides:
(6f)/6 = (6)/6
f = 6/6
f = 1
1 is your answer for f.
~
Need ASAP worth 100 points
Answers
That's the Riemann Zeta function. Here s is a complex number. If you can prove that all the non-trivial zeros of ζ(s) (which includes its analytic continuation to the entire complex plane) are on the line Re(s) = -1/2 then you will become a famous mathematician. You didn't even ask a question; not a very auspicious start, but don't give up.
If we restrict s to the reals, as Euler first did, we can prove there are an infinity of primes. Ever since the Zeta function has been closely related to the prime numbers.
One fun fact is ζ(-1) = -1/12, which has spawned lots of bad math claiming the sum of the natural numbers is -1/12,
[tex]-\dfrac{1}{12} = \zeta(-1) = \dfrac{1}{1^{-1}} + \dfrac{1}{2^{-1}} + \dfrac{1}{3^{-1}} + ... = 1 + 2 + 3 + 4 + ...[/tex]
Here it is in Ramanujan's first letter to Hardy.
Answer:
Hes right
Step-by-step explanation:
HELP ASAP!! ILL MARK YOU BRAINLIEST IF CORRECT :)
Answers
Answer:
compounded quaterly
Step-by-step explanation:
hope this helps
plzz mark me brainliest
Answer:
Let's say:
AM = current amount of money = 3000
APR = interest rate = 2.25
n = number of compounding periods
t = 5 years
Final amount of money:
FAM = AM x [1 + 2.25/n]^(n x 5) = 3000 x [1 + 2.25/n]^(n x 5)
Annual Compounding: FAM = 3000 x (1 + (2.25% / 1))^(1 x 5) = 3353.03
Quarterly Compounding: FAM = 3000 x (1 + (2.25% / 4))^(4 x 5) = 3356.16
Monthly Compounding: FAM = 3000 x (1 + (2.25% / 12))^(12 x 5) = 3356.86
Continuous Compounding: FAM = 3000 x 2.7183^(2.25% x 5) = 3357.22
=>Continuous Compounding gives largest benefit.
=> Option C is correct
Hope this helps!
:)
4. Factor (2a – b)^2- 4a^2
Answers
Answer:
(-b) (4a-b)
Step-by-step explanation:
(2a – b)^2- 4a^2
Let m = 2a-b
m^2 - (2a)^2
We know this is the difference of squares
x^2 - y^2 = (x-y)(x+y)
(m-2a) (m+2a)
Replace m with 2a -b
(2a -b-2a) (2a-b+2a)
Simplify
(-b) (4a-b)
Answer:
(4a - b)(-b)
Step-by-step explanation:
If we let x = 2a - b and y = 2a, our expression now looks like
[tex]x^2-y^2[/tex]
This kind of a expression is a common pattern in algebra called a difference of squares, and it can be factored like this (for a visual proof, see the attached image, courtesy of Great Maths Teaching Ideas):
[tex]x^2-y^2=(x+y)(x-y)[/tex]
Replacing x and y with 2a -b and 2a, our expression now becomes
[tex][(2a-b)+2a][(2a-b)-2a]\\=(2a-b+2a)(2a-b-2a)\\=(4a-b)(-b)[/tex]
So in factored form,
[tex](2a-b)^2-4a^2=(4a-b)(-b)[/tex]
A path through the middle of a circular garden is 14 feet long. [a] What is the distance around the outside of this garden? [b] What is the area of the garden? Use 3.14 for π.
Answers
Answer:
a. 43.96 feet
b.153.86 square feet
Step-by-step explanation:
Hi, the path through the middle of the circular garden is the diameter.
Since the diameter is equal to:
Diameter = 2 radius (r)
Solving for r
14 =2r
14/2 = r
r = 7 feet
The distance around the outside of this garden is the perimeter.
Perimeter of a circle (P) = 2 π r
Replacing with the values given:
P = 2 (3.14) 7 = 43.96 feet
b. area of the circle-
Area of a circle (A)= π r²
Replacing with the values given:
A = 3.14 (7²) =153.86 square feet
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Answers
Let's put all of these into percent form.
P(Guilty) = 0.25 = 25%
P(Innocent) = 55%
P(Retrial) = 1/5 = 0.2 = 20%
Next, we need to order them from least to most likely. The least likely event to occur would be the smallest percent, then the next smallest, etc.
Order: Retrial, Guilty, Innocent
Hope this helps! :)
Answer:
retrial, guilty, innocent
Step-by-step explanation:
We need to first convert these into the same kind of format, whether it's all decimals, all fractions, or all percentages. Let's just do decimals.
The guilty is already a decimal: 0.25.
The innocent is a percent. Remember that % simply means "out of 100", so 55% is 55/100. When we divide by 100, we move the decimal point two places to the left, so 55/100 = 0.55.
The retrial is a fraction. Just try to remember that 1/5 always equals 0.2.
The least likely event will be the smallest decimal, which is 0.2. The most likely event is the largest decimal, which is 0.55. So, the order is:
retrial, guilty, innocent
Solve the inequality
16 (1/4x -1/2)>24 - 2х
А. x> 6
в. x> -6
с. x> 16/3
d. х> -10/3
Answers
Answer:
Step-by-step explanation:
hello :
here is an solution :
Please help me I will mark u as brainlyest answer
Answers
Answer:
D, D, G, G,
Step-by-step explanation:
1st. Decay: This is decay because number being multiplied is less than 1.
2nd. Decay:This is decay because number being multiplied is less than 1.
3rd. Growth: This is growth because the number being multiplied is greater than 1.
4th.Growth:This is growth because the number being multiplied is greater than 1.
Pls help!
What is the surface area of the pyramid_____ units2
Answers
Answer:95units2
Step-by-step explanation:
1/2x7x5+5x5=95
If f(x) = 3x + 7, find:
f(3) = [ ? ]
Answers
Answer:
f(3) =16
Step-by-step explanation:
f(x) = 3x + 7
Let x= 3
f(3) = 3*3 +7
= 9+7
= 16
Answer: 16
Step-by-step explanation: f(x) = 3x + 7 means that if we put an x into our function, a 3x + 7 comes out.
So if we want to find f(3), we're putting a 3 into our function which means that a 3(3) + 7 comes out which simplifies to 9 + 7 or 16.
So f(3) = 16 or the value of the function at 3 equals 16.
Last softball season, Jenny hit 32% of the times she was at bat. If she had 80 hits, how many times was she at bat?
Answers
I think the answer is 26 because you have to take 32% of 80.
-Dhruva;)
Jenny was at bat 250 times.
What is the percentage?The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition, the sign "%" is used to indicate that a number is a percentage. In stores, online, in commercials, and in the media, percentages are nearly always present. A crucial talent that may help you save time and money and raise your employability is the ability to comprehend what percentages represent.
Given jenny hit 32% of the time when she was at bat and also she had 80 hits. let's assume she had a total of x hits. so 32% of x will be equal to 80.
From that,
32% x = 80
32*x = 80 * 100
x = 250
Hence, Last season ball jenny was at bat 250 times.
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I need help finding the factor!
please
Answers
Answer:
(x-8) (x-4)
Step-by-step explanation:
x^2 -12x +32
What two numbers multiply to 32 and add to -12
-8*-4 = 32
-8-4 = -12
(x-8) (x-4)
Answer:
(x - 4)
Step-by-step explanation:
x² - 12x + 32
x² - 8x - 4x + 32
x(x - 8) - 4(x - 8)
(x - 8)(x - 4)
Hayden has 20 pieces of gum to share with Jill jake. The number of pieces of gum Hayden gives to kill is 6 more than six times the number of pieces of gum he gives to jake. If Hayden has no pieces of gum left over ,how many pieces of gum does Hayden give to jake
Answers
Answer:2
Step-by-step explanation:
number of pieces given to Jake=x
20-(6x+6)-x=0
x=2
check:
start 20 pieces of gum
Jake gets 2
Jill gets 2*6+6=18
Sarah has a bag of 100 marbles. 40 are blue, 40 are green, and 20 are purple.
What is the probability of Sarah picking a blue marble on 2 consecutive draws without replacement?
15.8%
40%
20%
3.8%
Answers
The required probability of Sarah picking a blue marble on 2 consecutive draws without replacement is 15.8%. Option A is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total marbles [sample space] = 100
Total favorable outcome = 40 = 40%
Now,
Picking another blues marble,
Total marble becomes 99 and the total favorable outcome becomes 39,
Probability of picking marble in two consecutive drawn,
= 40/100 × 39 / 99
= 0.158
= 15.8%
Thus, the required probability of Sarah picking a blue marble on 2 consecutive draws without replacement is 15.8%. Option A is correct.
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A culture is started with 50,000 bacteria. The table shows the number of bacteria remaining after an antibiotic is added.
Based on the data, which is closest to the number of bacteria at the end of 10 hours?
A) 6,000
B) 9,000
C) 12,000
D) 15,000
Answers
CIRCUMFERENE QUESTION. If you get it correct, immediant brainlist! 5 stars and thanks for ALL answers! If both people get it right, whoever answers first gets the brainlist. If both get incorrect, only 5 stars and thanks. If the question already has had 2 people answering, please try to answer in the "ask for details" section! I will give thanks.
Answers
Answer:
The circumference is about 44 in.
Step-by-step explanation:
Assuming that 7 in is the radius of the pizza:
[tex]C=2\pi r[/tex]
[tex]C=2\pi 7\\C=14 \pi\\C=43.98 \text{in}[/tex]
Bob's Bakery makes 12 cakes and 36 muffins each hour.
Part A: Create a table to show how many caked and muffins in ll the bakery has made after each hour. Use the rules "add 12" and " add 36"
Part B: Michael says. "The total number of muffins made is ALWAYS 24 more than the total number of cakes made. " Do you agree?
Part C: Michael wants to graph this information. What ordered pair represents the total number of each item make after 6 hours.
Answers
Answer:
c
Step-by-step explanation:
PART D:
Reflect on your research in Parts A, B and C. Record
at least three questions connected to the research and
analysis you have conducted that you may be
interested in exploring more in the future.
Anybody who will help this is 50 points pls help and don’t just answer for the pints I need you to give me a questions cause idk what to say
Answers
Answer:
Do you have a sheet that I can reflect on so that I can come up with some questions? Thanks.
Step-by-step explanation:
Which of these careers is a good job floor for a person who values serving the community?
Answers
Answer:
Mayor or governor
Step-by-step explanation: