This circle is centered at the origin, and the length of its radius is 8. What is
the equation of the circle?
Answers
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \: x² + y² = 64\)
____________________________________
\( \large \tt Solution \: : \)
Standard equation of circle is :
\(\qquad \tt \rightarrow \: (x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} \)
\( \textsf{h = x - coordinate of centre of circle} \)\( \textsf{k = y - coordinate of centre of circle} \)\( \textsf{r = radius= 8} \)Since the circle is centered at origin, h = k = 0
\(\qquad \tt \rightarrow \: (x - 0) {}^{2} + (y - 0) {}^{2} = {8}^{2} \)
\(\qquad \tt \rightarrow \: {x}^{2} + {y}^{2} = 64 \)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Related Questions
PLEASE HELP ILL GIVE BRAINLIEST use the similar triangles as a guild to find the slope of the line
Answers
Answer:
Slope is 1, since we use rise over run which is expressed as 1/1
determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. the number of light bulbs that burn out in the next week in a room with 11 bulbs b. the amount of snowfall in december in city a c. the eye color of people on commercial aircraft flights d. the number of hits to a website in a day e. the amount of rain in city b during april f. the
Answers
a. The number of light bulbs that burn out in the next week in a room with 11 bulbs: Discrete random variable. b. The amount of snowfall in December in City A: Continuous random variable. c. The eye color of people on commercial aircraft flights: Not a random variable. d. The number of hits to a website in a day: Discrete random variable. e. The amount of rain in City B during April: Continuous random variable. f. The final answer: Discrete random variable (assuming it refers to a specific discrete value or category).
a. The number of light bulbs that burn out in the next week in a room with 11 bulbs:
This is a discrete random variable because the number of light bulbs that burn out can only take on specific whole number values (0, 1, 2, 3, ..., 11) and cannot be a fraction or continuous range.
b. The amount of snowfall in December in City A:
This is a continuous random variable because the amount of snowfall can take on any real value within a range (e.g., 0.5 inches, 1.2 inches, 3.7 inches, etc.), including fractional values.
c. The eye color of people on commercial aircraft flights:
This is not a random variable because eye color is a fixed attribute of individuals and does not involve uncertainty or probability. It is a categorical variable that describes a characteristic, but it does not follow a random distribution.
d. The number of hits to a website in a day:
This is a discrete random variable because the number of hits can only take on whole number values (0, 1, 2, 3, ...) and cannot be a fraction or continuous range.
e. The amount of rain in City B during April:
This is a continuous random variable because the amount of rain can take on any real value within a range (e.g., 0.1 inches, 1.5 inches, 2.8 inches, etc.), including fractional values.
f. The... (the question is incomplete)
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What is the correct definition of the term “urbanization?”
the development of a district immediately outside the city
the connection of many urban areas
the growth and expansion of cities
a movement of people from the city to the country
Answers
Answer:
I think
Step-by-step explanation:
#a movement of people from.....
Answer:
having more people living in and around cities than before
Step-by-step explanation:
this was correct for me
Point Cis on line segment BD. Given BD = 2x, CD = 8, and BC = x,
determine the numerical length of BD.
Answers
Answer:
16
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
A/a; B/b; C/C; D/d x A/A; B/b; c/c; D/d What is the probability of obtaining A/a; B/b; C/c; D/d offspring? 1/4 1/8 1/16 3/16 1/32
Answers
Since each trait is inherited independently, we can multiply the probabilities together. The probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.
The probability of obtaining A/a; B/b; C/c; D/d offspring can be calculated by multiplying the probabilities of each individual trait. Since each trait is inherited independently, we can multiply the probabilities together.
The probability of obtaining A/a offspring is 1/2 (A is dominant and a is recessive).
The probability of obtaining B/b offspring is 1/2 (B is dominant and b is recessive).
The probability of obtaining C/c offspring is 1/2 (C is dominant and c is recessive).
The probability of obtaining D/d offspring is 1/2 (D is dominant and d is recessive).
Therefore, the probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.
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What is the common ratio for the sequence 1, 4, 16, 64,..?
Answers
Answer:
1:4
Step-by-step explanation:
1/4
4/16 ->1/4
16/64-> 1/4
Answer:4 is the answer to all of this
Solve –2|3x – 12|>-54 and graph the solution on a number line.
Answers
Explanation:
\(-2|3x-12|>-54\)divide both sides by -2:
\(\begin{gathered} \frac{-2|3x-12|}{-2}>\frac{-54}{-2} \\ \text{when you divide an inequality by a negative nuber the sign changes} \\ \text{from > to < in this case} \\ |3x-12|\text{ < 27} \end{gathered}\)\(\begin{gathered} |3x-12|<\text{ 27 is the same as:} \\ (3x\text{ -12) <27 or (3x -12) < -27} \end{gathered}\)solving each seperately:
\(\begin{gathered} (3x\text{ -12) <27} \\ \text{add 12 to both sides:} \\ 3x\text{ -12 + 12 < 27 + 12} \\ 3x\text{ + 0 < 39} \\ 3x\text{ < 39} \\ \frac{3x}{3}<\frac{39}{3} \\ x\text{ < 13} \end{gathered}\)\(\begin{gathered} (3x\text{ - 12) < -27} \\ \text{add 12 to both sides:} \\ 3x\text{ -12 + 12 < -27 + 12} \\ 3x\text{ + 0 < -15} \\ 3x\text{ < -15} \\ \text{divide both sides by 3:} \\ \frac{3x}{3}<\frac{-15}{3} \\ x\text{ < -5} \end{gathered}\)\(undefined\)Andrea has 3 tiles. One is a regular octagon, one is a regular pentagon and one is a regular hexagon. Andrea thinks the 3 tiles will fit together perfectly, as shown in the diagram. Show calculations to prove that she is wrong.
Answers
From calculations, we can say that the given tiles will not fit together perfectly.
How to find the sum of interior angles of a Polygon?If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.
Expression for the measure of the interior angle of a polygon,
Interior angle of a polygon = [(n - 2) * 180]/n
Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°
Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°
Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°
To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°
Sum of all interior angles = 108° + 120° + 135° = 363°
Therefore, given tiles will not fit together perfectly.
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Dan deposited $700 in a savings account. At the end of 3 year, he had earned $115.50 in simple interest. What interest rate did he receive? Question 1 options:
Answers
Answer:
5.5%
Step-by-step explanation:
The formula for Simple Interest = PRT
Where
Simple Interest = $115.50
P = Principal = $700
R = Interest rate = ??
T = Time in years = 3 years
$115.50 = $700 × R × 3
R = $115.50/$700 × 3
R = $115.50/$2100
R = 0.055
R = Interest rate = 0.055
We Multiply by 100
= 0.055 × 100
= 5.5%
The following figure is made of 1 triangle and 1 rectangle.
A
2
B
11
Find the area of each part of the figure and the whole figure.
Answers
Step-by-step explanation:
obviously you can find the triangle area using this formula a*b/2
so A= 2*11/2 =11
and also for triangle a*b
so B= 7*11 =77
the whole area would be =88
Big dogs: A veterinarian claims that the mean weight of adult German shepherd dogs is 75 pounds. A test is made ofHo: μ-75 versus Hi : μ > 75, The null hypothesis is rejected. State an appropriate conclusion. There (select) enough evidence to conclude that the mean weight is (select) 75 pounds.
Answers
Since the null hypothesis was rejected, we can conclude that there is enough evidence to suggest that the mean weight of adult German shepherd dogs is greater than 75 pounds.
However, we cannot conclusively state that the mean weight is exactly 75 pounds, only that it is likely greater than that value. The alternative hypothesis (Hi: μ > 75) supports this conclusion, indicating that the true mean weight is likely higher than the claimed value of 75 pounds.
It is important to note that further research and analysis may be necessary to determine a more precise estimate of the mean weight of adult German shepherds.
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the mean corporation operates out of two major cities, city a and city b. it has a head office for each city and each office has thousands of employees. a computer competency exam is administered to all staff in each head office and the results are recorded. the ceo decides that he would like to compare the performance of the two offices. he labels the two groups of staff city a and city b and looks at their distribution of scores.The CEO is told that both City A and City B have the same mean score. However, City A is ____consistent than City B because the standard deviation for City A is _____ than the standard deviation for City B.
Answers
Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.
Define standard deviation.Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.
Here,
It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."
If City A is more reliable than City B, then City A will have a lower standard deviation.
A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.
So, the appropriate answer is:
The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.
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exponential function question
Answers
Answer: \(y = 850(0.943)^t\)
Reason:
The exponential of the form \(y = a*b^x\) has 'a' as the initial term and b as the growth or decay factor.
a = 850 is the starting amount
b = 1 + r = 1 + (-0.057) = 0.943 is the decay factor
If the sample loses 5.7% of its mass each year, then it keeps the remaining 94.3% of it.
Armstrong's Axioms Let R be a relation composed of the columns: Z Y X WEGH. Let F be the following functional dependencies which hold over R: a) ZY-X b) Y-W c) Y→X d) X-Z e) XW-E Ô XE → GH g) GH-E se only Armstrong's Axioms (below) to solve the following question: Y EX X→Y :X-YXZ ⇒ YZ X Y&Y-Z⇒X-Z e a derivation sequence for ZY-E
Answers
We have derived ZY-E using Armstrong's axioms.
To derive ZY-E using Armstrong's axioms, we'll go through a series of steps using the given functional dependencies and the axioms of Armstrong's closure.
The given attribute set is ZY-E.
Apply reflexivity:
ZY-E ∪ ZY-E ⇒ ZY-E
Apply augmentation:
ZY-E ⇒ ZY-XE (using the functional dependency ZY-X)
Apply transitivity:
ZY-XE, XE → GH ⇒ ZY-GH (using the functional dependency XE → GH)
Apply augmentation:
ZY-GH ⇒ ZY-GHE
Apply decomposition:
ZY-GHE ⇒ ZY-E
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i need help
simplify: 4^8/4^-4
Answers
Answer:
\(4^{12}\)
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\) , then
\(\frac{4^{8} }{4^{-4} }\) = \(4^{(8-(-4))}\) = \(4^{(8+4)}\) = \(4^{12}\)
make x the subject of the relation x/s-1+t/r+1=1
Answers
Answer:
s - 1 - t(s - 1)/(r + 1)
Step-by-step explanation:
x/(s - 1) + t/(r + 1) = 1
x/(s - 1) = 1 - t/(r + 1)
x = s - 1 - t(s - 1)/(r + 1)
5 There are 150 men and 250 women in a crowd.
a What fraction of the crowd are men?
Write your answer in its simplest possible form.
b The ratio of married women to unmarried women is 3 to 2.
How many married women are in the crowd?
C More men arrive. The number of men increases by 20%.
How many men are in the crowd now?
d Some of the women leave.
There are now 60 women in the crowd.
What percentage of the women leave?
Answers
Answer:
men=150
women=250
total=400
Step-by-step explanation:
a) fraction of men
men/total=150/400=15/40
men/total =3/8
b)let married be x
so unmarried wil be 250-x
married/unmarried=3/2
x / 250-x =3/2
x =3(250-x)/2
2x =750-3x
5x=750
x=750/5
x =150
married =150
unmarried=250-150=100
c)20% of men will be :20x150
100
: 30
no of men =150+20%
=150+30
=180
d)no. of women decreased=250-60
=190
percentage of women leaved=% x 250
100
190x100/250=%
76 =%
76% women leaved
It took too much time
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
DO FOLOW
\( \frac{1}{ \sqrt{2} + 1 } + \frac{1}{ \sqrt{2} + \sqrt{3} } + ... + \frac{1}{ \sqrt{n + 1} + \sqrt{n} } \leqslant 20\)
help....................
Answers
Answer:
all i see is ..........
Step-by-step explanation:
10 points
Two movie clubs charge an initial membership fee plus a constant rate for each
movie that is rented. The table and graph show what the two movie clubs charge
Club A:
14
10
Total cost $)
Club B:
Number of Total Cost (5)
Movies
0
2.25
1
3.00
2
3.75
3
4.50
1 2 3 4 5 6 7 8
Number of Movies
Part A
Complete an equation to represent each relationship. Let y represent the total cost
for renting x movies.
Answers:
Club A:
y=
Club B:
y=
Answers
Answer:
i need the answer aswell
Which of the following is the correct sequence of project phases? O A. Concept - Planning - Definition O B. Definition - Planning - Performance O C. Postcompletion - Performance - Planning OD. Performance - Concept - Planning
Answers
The correct sequence of project phases is Definition - Planning - Performance. The correct answer is B.
This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.
Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.
Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.
Therefore the sequence of project phase is Definition - Planning - Performance The correct answer is B.
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Write the quotient and remainder when we divide (x^3 -4x^2 + 2x + 5) by (x - 2)
Answers
Answer:
Step-by-step explanation:
Sorry I can't explain how it is done. It is very difficult to explain on paper.
The quantities X and Y are proportional
Answers
The quantities X and Y are proportional as y = rx then the constant of proportionality r is 1/9.
What is constant of proportionality?Firstly, there is proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
WE have been given quantities X and Y are proportional
y = rx
Where r is constant of proportionality.
Then x = 45 and y = 5
Thus,
y = rx
5 = 45r
Now divide by 45 on both side;
r = 5/45
r = 1/9
Therefore, the constant of proportionality r is 1/9.
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Sin y = 4xy + x^2. Find dy/dx
Answers
Answer:
dy/dx=(4y+2x)/(cos y-4x)Step-by-step explanation:
Siny= 4xy +x²
dy/dx(cos y) =4y+ 4x(dy/dx)+2x
making dy/dx the subject
dy/dx(cos y)-4x(dy/dx)=4y+2x
dy/dx(cos y -4x)=4y+2x
dy/dx=(4y+2x)/(cos y -4x)
In the diagram below, AB is parallel to CD. What is the value of x?
Answers
Answer:
150 degrees
Step-by-step explanation:
You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.
2x(x−5)+(x−2)(x+3) hgjgjhfj
Answers
Answer:
3x² - 9x - 6
Step-by-step explanation:
2x (x - 5) + (x - 2) × (x + 3)
2x² - 10x + (x - 2) × (x + 3)
2x² - 10x + x² + 3x - 2x - 6
3x² - 10x + 3x - 2x - 6
(-10 + 3 - 2)x = -9x
= 3x² - 9x - 6
4 is a square number and also an even number. How many other whole numbers less than 50 are an even, square number?
Answers
What is the standard deviation for the set of data { 6,7,8,9,10}? Find the standard deviation by completing the table.
Answers
Standard deviation for the given set of data { 6,7,8,9,10} is equal to √2.
As given in the question,
Given set of data is equal to :
{ 6,7,8,9,10}
\(x_{i}\) = { 6,7,8,9,10}
Here total number of observation 'N' is equal to 5.
Mean \(\bar{x}\) = ∑x / n
= ( 6+ 7+ 8 + 9 + 10 ) / 5
= 40 /5
= 8
\(\sum (x_{i} -\bar{x})^{2}\) = ( 6- 8)² + (7-8)² + (8 - 8)²+ ( 9 -8)² + (10 - 8)²
= 4 + 1+ 0 + 1+ 4
= 10
Standard deviation = \(\sqrt{ \frac{\sum (x_{i} -\bar{x})^{2}}{N}\)
= √10/5
= √2
Therefore, standard deviation for the given set of data { 6,7,8,9,10} is equal to √2.
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Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities.
48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80
Notice that the temperatures are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Answers
The five-number summary of the data set given is:
Minimum = 48First Quartile (Q1) = 54Median = 69Third Quartile (Q3) = 76Maximum = 80What is the five-number summary?The five-number summary can be defined as a set of descriptive statistics that gives you an idea how your data looks like.
The five-number summary include the following:
Minimum, which is the lowest data value.First Quartile (Q1), which is the middle data value of the first half of the data set.Median, which is the middle data value of the data set.Third Quartile (Q3), which is the middle data value of the second half of the data set.Maximum, which is the lowest data value.What is the Interquartile range?The interquartile range is a measure of the spread of a data set, which is: IQR = Q3 - Q1
Given the data set, 48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80:
Minimum = 48
First Quartile (Q1) = (54 + 54)/2 = 54
Median = (68 + 70)/2 = 69
Third Quartile (Q3) = (75 + 77)/2 = 76
Maximum = 80
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For the figures that have rotational symmetry, list the angles of rotation less than 360 degrees. For figures without rotational symmetry, write “no rotational symmetry”.
Please show all work and not just answers.
Answers
This shape has no rotational symmetry.
Explanation:
Shapes with rotational symmetry have the property of looking the same even after being rotated a degree smaller than 360. For example, equilateral triangles have rotational symmetry.
However, just like the previous question, this shape may have a line of symmetry but it does not have rotational symmetry. It can’t look the exact same after being rotated.
I hope this helps!
freddy
a drew plan for a rectangular piece of material that will use for a blanket. Three of the vertices are (,), (,), and (,). What are the coordinates of the fourth vertex?
Answers
The fourth vertex's coordinates are as follows: ( 2.1, -3.6)
What are coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.
So, let the missing coordinates be (a,b).
Let's now utilize the midpoint formula to locate the erroneous coordinate.
Let the reference point be (-2.3, 3.6) A.
Let point B be (2.3, 2.2).
(2.1, 2.2) Let C be the point.
The center of AC should be at BD.
Step 1: Locating the AC's midpoint
Middle pint of AC:
(-2.3 + 2.1/2), (-3.6 + 2.2/2)
(0.2/2), (1.4/2)
(-0.1, -0.7)
Let's equate the midpoints in step two.
The BD mid-point:
(a + -2.3/2), (b + 2.2/2) = (-0.1, -0.7)
(a + -2.3/2) = -0.1
(a -2.3/2) = -0.1*2
a = -0.2+2.3
a = 2.1
(b + 2.2/2) = -0.7
b + 2.2 = -0.7*2
b + 2.2 = -1.4
b = -1.4 -2.2
b = -3.6
Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)
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Complete question:
Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ( -2.3 and −3.6), (−2.3, and 2.2), and (2.1, and 2.2). What are the coordinates of the fourth vertex?