The equation of a circle in the xy-plane is found as (x + 2)² + (y - 1)² = 5.
What is circle?A circle is a two-dimensional closed figure in which the set of all points with in plane is equidistant from the a given point known as the "centre."
Circle Formula: (x - h)² + (y - k)² = r² ;
Where, (h, k) is the centre & r is the radius of the circle.
Use the distance formula for(-2, 1) and (0,2)
[tex]\begin{aligned}&r=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2} \\&r=\sqrt{(0+2)^2+\left(2-1\right)^2} \\&r=\sqrt{(2)^2+\left(1\right)^2}\end{aligned}[/tex]
Further simplifying;
r = √(4 + 1)
r = √5
Centre (h, k) = (-2, 1) Radius (r) = √5.
(x - h)² + (y - k)² = r²
(x + 2)² + (y - 1)² = √5²
(x + 2)² + (y - 1)² = 5 is the equation of the circle.
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11/13% of a quantity is equal to what fraction of the quantity?
11/13% of a quantity is equal to 11/1300 fraction of the quantity.
What is Percent to Fraction?Percentage signifies for every hundred or for each. We display it as %. Since a percentage is expressed on a scale of 1 to 100, it is easy to comprehend. Converting percentage data to fractions is known as "percent to a fraction." As per the percent to fraction conversion instructions, the percentage can be written as a fraction by deleting the percent symbol and placing 100 in the denominator. Any percent can easily be converted to a fraction, and the opposite is also true.
How to Convert Percent to Fraction?To convert a percentage to a fraction, follow these three simple steps. Let's examine these three processes in more detail.
Leave out the percent sign.divide it by 100.Reduce the obtained fraction.Divide the given percentage by 100
[tex]\frac{11}{13}[/tex]% [tex]=\frac{11}{13} \times \frac{1}{100} \\=\frac{11}{1300}[/tex]
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What is an equation of the line that passes through the point (−2,7) and is perpendicular to the line x−4y=24?
Answer:
y=-4x-1
Step-by-step explanation:
x-4y=24
-x -x
-4y=-x+24
Divide -4
y=-1/-4x-6
Simplify the slope.
y=1/4x-6
Perpendicular slope
m = 1/4
m = -4
The point is (-2,7)
-2 is the x intercept
7 is the y intercept
Slope Point Form is y-y1=m(x-x1)
Plug it in
y-7=-4(x+2)
Solve and put it into slope intercept form
y-7=-4x-8
+7 +7
y=-4x-1
There's your answer.
Hope that helps.
How many groups of 1/3 are in 4 (draw a tape diagram)
A box of book has a mass of 4.1 kilograms for every meter of its height . Convert your this ratio into pound per inch
Answer:
9 pounds per inch
Step-by-step explanation:
There are approximately 2.2 pounds in a kilogram. So, 4.1 kilograms is approximately 9 pounds. Therefore, the ratio is 9 pounds per inch. The step by step for this is, 4.1 kg/m * 2.2 lb/kg = 9 lb/m * 1 in/m = 9 lb/in
Reena bought a jacket for £45. Six
months later, she sold it for £34.65.
What was her percentage loss?
19
Type A batteries and type B batteries were tested.
The cumulative frequency diagram shows information about the battery life of type A.
19 (a)
80
70
60
50
Cumulative
frequency 40
30
20
10
of
0
Type A
800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800
Battery life (hours)
Estimate the interquartile range for type A.
Answer
hours
[2 marks]
300 Hours will be the Interquartile range for type A batteries.
In the given question, we have 11 terms in Hours, So we get N = 11, and the formula can calculate the Median for the allotted Hours [tex]\frac{n+1}{2}[/tex]
Since the Median is 6th term i.e. we get Middle Quartile Q2 = 1300Hours
Q1 is the Lower quartile of the graph and the Median divides the graph into 8 equal parts. And we get the value of Q1 = 1100 Hours. Whereas, The upper quartile is the upper quarter. So, Q3 = 1400 Hours.
We have the formula to calculate the Interquartile range :
IQR = Q3 - Q1
Putting values of Q3 and Q1 into the formula, We get :
IQR = 1400 - 1100
IQR = 300
Hence, the Interquartile range IQR = 300 Hours.
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Daniel has a candy jar with 32 jellybeans. He loves jelly beans and is trying not to eat them all at once. Every time he reaches in to the jar, he removes exactly half of the jelly beans. How many times does he reach into the jar so that he only has 1 jellybean left in the jar after he removes half?
Answer:
5
Step-by-step explanation:
Answer:
5 times
Explanation:
32 / 2 = 16
16 / 2 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1
Every time Daniel puts is hand in, he takes half of all the jellybeans.
The first time he put his hand in, there was 32 jellybeans and 32 / 2 = 16. After that, there was 16 so taking half would mean that there would be 8. Then this goes on till it reaches 1.
plese help me with this work
Step-by-step explanation:
Mark is 18, as his 8th birthday was 10 years ago
Aunt Jess is 36 since Jess is twice as old as Mark
Julie is 28 because 36+18=54, and 54-26=28
Gwen is 30 since she's 2 years older than Julie
The twins are 8 (1/3 of 30 is 10, then do -2)
Answers:
1. 8
2. 10
3. Mark will be 23
4. Gwen was twice Julie's age when she was 4 (26 years ago)
(Gwen is 2 years older than Julie)
I hope this helps, Brainliest and Thanks would be very much appreciated
Answer: 1. 8 years old
2. 10 years
3. 23 years old
4. 26 years ago
Step-by-step explanation:
G=Gwen's age.
J=Julie's age.
A=Aunt Jess's age
U=Uncle Mark's age
T=twins' ages
1. G=J+2
A=U*2
J=A+U-26
T=G/3 - 2
U-10=8
U+10-10=8+10 ==> Add 10 on both sides to single out U.
U=18
A=U*2
A=18*2
A=36
J=A+U-26
J=36+18-26
J=54-26
J=28
G=J+2
G=28+2
G=30
T=G/3 - 2
T=30/3 - 2
T=10-2
T=8 ==> 8 years old
2. 8+x=18
8-8+x=18-8
x=10 years
3. U=18
18+5=23 years old
4. G=J+2
G=J*2
J*2=J+2
2J=J+2
J=2 ==> subtract J on both sides
G=2+2
G=4
30-4=26 years ago
Nicole needs to spend at least 4 hours each week practicing the guitar. she has already practiced two and one third hours this week. she wants to split the remaining practice time evenly between the last 2 days of the week. write an inequality to determine the minimum number of hours she needs to practice on each of the 2 days. two and one third 2x ≥ 4 two and one third 2x ≤ 4 two and one thirdx 2 ≤ 4 two and one thirdx 2 ≥ 4
According to the given statement an inequality to determine the minimum number of hours she needs to practice on each of the 2 days two and one third + 2x ≥ 4.
The correct option is A.
What are the three types of inequality ?The lowered life expectancy, higher infant mortality, lesser social mobility, , and mental illness are all factors that contribute to lower life expectancy.
Income disparity. Income inequality is defined as the degree to which money is distributed unevenly among a group of people.
Pay Disparity. The pay of an individual changes from their income. Pay simply refers to the money earned through employment.
Inequality of wealth.
According to the given data:Given,
How many hours she has already practiced= , 2/3
She also wants to train for another two days, putting up equal hours each day.
Let x be the number of hours she practised each day.
As a result, the total number of hours kate practiced in two days was = 2x
As a result, the total amount of time she practiced = 2/3 + 2x
If she wishes to practice for at least four hours,
2/3 + 2x ≥ 4
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I understand that the question you are looking for is:
Nicole needs to spend at least four hours each week practicing the guitar. She has already practiced two and one third hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
A. two and one third + 2x ≥ 4
B. two and one third + 2x ≤ 4
C. two and one third x + 2 ≤ 4
D. two and one third x + 2 ≥ 4
A ticket to see Pink in concert costs $113.50 $ 113.50 at regular price. An online ticket company is offering tickets at a 10% 10 % discount. Your friend bought a ticket at the discounted price but found out he can't go. He's offering the ticket to you at an additional 25% 25 % off what he paid. What price could you get the concert ticket for if you bought it from your friend? Round your answer to the nearest cent, if necessary.
Write the following expression using the fewest possible terms (2/5 * t - 7 + 2/3 * t) - (5/6 * t + 14)
Answers: 7/30*t + (-7)
7/30*t + (-21)
-57/30*t + (-7
57/30*t + (-21)
The expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is (7/30)*t + (-21) .
In the question
the given expression is (2/5 * t - 7 + 2/3 * t) - (5/6 * t + 14)
Simplifying the expression further
we get ,
[tex]= \frac{2}{5} t-7+\frac{2}{3} t-\frac{5}{6} t-14[/tex]
writing the like terms together
= t * (2/5+2/3-5/6)-7-14
taking LCM of 5,3,6 as 30 and simplifying further we get ,
= t * (12/30 + 20/30 -25/30) - 21
= t * (7/30) - 21
which can also be written as (7/30)*t + (-21) .
Therefore , the expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is (7/30)*t + (-21) .
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Point D
Point G
Point I
Point A
At maximum speed, an airplane travels
Let x be the maximum speed of the plane and y
2100 miles against the wind in 6 hours.
be the speed of the wind. What is the speed of
Flying with the wind, the plane can
the plane with no wind?
travel the same distance in 4 hours.
Enter the correct answer.
What is the molecular formula of a hydrocarbon with m = 108? fill in the blank 1
M+=108 is a technique to indicate a compound's molecular formula; it only contains simple numbers for each type of atom in a molecule and no structural information.
What do you mean by the term hydrocarbon?An organic chemical molecule that only contains hydrogen and carbon atoms is referred to as a hydrocarbon. Natural hydrocarbons are the building blocks of coal, natural gas, crude oil, and other significant energy sources. They burn easily and emit heat, water, and carbon dioxide when they are burned. As a result, hydrocarbons constitute a very efficient fuel source. The concerned hydrocarbon molecule contains 12 hydrogen atoms and 8 carbon atoms. The resulting chemical is C8H12. C8H12 is composed of one ring and two double bonds.
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The length of a rectangle is 99 centimeters. Find all possible values for the width of the rectangle if the perimeter is at least 240 centimeters.
So the width should be 21 cm, to have a length of 99 cm and a perimeter of 240 cm in linear equations.
What are instances of linear equations?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.240 = 2(99) + 2x
240 = 198 + 2x
42 = 2x
21 = x
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the sum of both digits, of either of two two-digit numbers, in whatever order the digits are written, is 9. the square of either of the digits of either number, minus the product of both digits, plus the square of the other digit is the number 21.
a = 5 and a = 4 are the sum of both digits, of either of two two-digit numbers.
What is square number in math?
When a number is multiplied by itself, the result is a square number. For instance, 25 is a square number since it is composed of 5 lots of 5, or 5 × 5. This is also known as "five squared," or 52. Because it is 102 (10 x 10, or "ten squared"), the number 100 is likewise a square.This can also be solved algebraically. Let the 2 digits be a and b, going left to right. The number itself is then
N = 10a + b. And it's given that a + b = 9, and a2 - ab + b2 = 21. Substitute for b = 9 - a, combine all terms of a2 and a, and you get
3a2 - 27a + 60 = 0. Divide by 3
a2 - 9a + 20 = 0. Factor
(a - 5)(a - 4) = 0. So the roots are a = 5 and a = 4.
The actual numbers N are 54 and 45.
The digits can be changed since the equations including only a and b are symmetric. (If a = 5, then b must be 4; inverse)
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Emily claims that a tree height of 43 inches is an outlier for the distribution. Based on the 1. 5×iqr rule for outliers, is there evidence to support the claim?.
Emily claims that a tree height of 43 inches is an outlier for the distribution.
What is the 1.5 IQR rule for outliers?
Add 1.5 to the interquartile range (IQR) (a constant used to discern outliers). The third quartile is increased by 1.5 times (IQR). Any figure above this is thought to be an outlier.
The starting and the end of the box in box plot are first and third quartile respectively.
From the given box plot it is clear that, Q₁ = 34 and Q₃ = 38
IQR = Q₃ - Q₁
IQR = 38 - 34
IQR = 4
According to 1.5x IQR rule for outliers, all the data values lies outside the interval [ Q₁ - 1.5 × IQR , Q₃ + 1.5 × IQR ] are outliers..
Q₃ + 1.5 × IQR = 38 + 1.5(4)
Q₃ + 1.5 × IQR = 38 + 6
Q₃ + 1.5 × IQR = 44
We know that, 43<44.
Since, 43 is not greater than Q₃ + 1.5 × IQR therefore, 43 is not an outlier and there is no evidence to support the claim.
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Please Help I will Mark Brainlist !!!!! Help its a geometry Question (MATH) Find the length of b.
Thank you for your Help!!! it is appreciated
A number cube labeled 1 through 6 is rolled.
What is the probability of the cube landing on an even number?
Answer:
3/6 = 1/2
Step-by-step explanation:
There are only 3 even numbers on a 6-sided dice:;2, 4, and 6, so this would mean we have a 3 out of 6 chance of getting an even number. Simplify that, and you get one-half.
Answer:
1/6
Step-by-step explanation:
1 cube and 6 rolls
what is the range of this absolute value function
Answer:
5<y< infinity
Step-by-step explanation:
Given that m∠ABC = 143°, find m∠ABD and m∠DBC.
Answer:
m<ABD = 24°
m<DBC = 119°
Step-by-step explanation:
m<ABD + m<DBC = m<ABC
2x - 40 + 3x + 23 = 143
5x - 17 = 143
5x = 160
x = 32
m<ABD = 2x - 40 = 2(32) - 40 = 24
m<ABD = 24°
m<DBC = 3x + 23 = 3(32) + 23 = 119
m<DBC = 119°
PLEASEE HELP AGAINNNN!!!!
If a1 = 4 and an = -4an - 1 then find the value of a6
The 6th term of the geometric sequence is of -4096.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
For this problem, we have that:
The first term is [tex]a_1 = 4[/tex].[tex]a_n = -4a_{n - 1}[/tex], hence the common ratio is q = -4.Thus the 6th term of the sequence is found as follows:
[tex]a_6 = a_1q^5 = 4(-4)^5 = -4096[/tex]
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Plot the points in a coordinate plane and sketch ∠X Y Z. Then classify it as right, acute, or obtuse.
X(6,7), Y(2,3), Z(4,1)
The points X(6,7), Y(2,3), Z(4,1) can be plotted as given below. From the obtained graph ∠XYZ is the right angle.
The given coordinates are X(6,7), Y(2,3) and Z(4,1).
We need to classify ∠XYZ whether it is right, acute, or obtuse.
How to plot the points in a cartesian plane?A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.
Now, X(6,7), Y(2,3), Z(4,1) can be plotted as given below:
All points X(6,7), Y(2,3), Z(4,1) have the positive x and y coordinates.
So, all the points X(6,7), Y(2,3) and Z(4,1) lie in the first quadrant.
From the graph, we can see at the two lines are perpendicular to each other.
So, the angle between two lines is the right angle which is 90°.
From the obtained graph ∠XYZ is the right angle.
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the hawaii visitors bureau collects data on visitors to hawaii. the following questions were among 16 asked in a questionnaire handed out to passengers during incoming airline flights in june 2003. • this trip to hawaii is my: 1st, 2nd, 3rd, 4th, etc. • the primary reason for this trip is: (10 categories including vacation, convention, honeymoon) • where i plan to stay: (11 categories including hotel, apartment, relatives, camping) • total days in hawaii
The population includes all individuals/subjects about whom we want to collect data.
POPULATION = All visitors to Hawaii who fly there.
What is termed as population study?A population is the entire set of individuals, if that group is a nation or a collection of individuals who share a characteristic.
Some key points related to study of population are-
A population in statistics is the group of people from which a statistical sample is selected for a study. As a result, any group of people who share a characteristic can be called a population. A sample can also correspond to a statistically significant subset of a population, rather than the entire population. As a result, a statistical analysis of a sample should report this same approximate standard deviation, as well as standard error, of its overall population results. Only a population-wide analysis has no standard error.To know more about the population study, here
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the complete question is -
The Hawaii Visitors Bureau collects data on visitors to Hawaii. The following questions were among 16 asked in a questionnaire handed out to passengers during incoming airline flights in June 2003. This trip to Hawaii is my: 1st, 2nd, 3rd, 4th, etc. The primary reason for this trip is: (10 categories including vacation, convention, honeymoon). Where I plan to stay: (11 categories including hotel, apartment, relatives, camping) Total days in Hawaii.
What is the population being studied?
Determine the written description of the complement of the given event. when are , of them .
The correct option is D. More than one of them test negative.
More than one of them tests negative in the written explanation of the given event.
What are conditional statements?We have a conditional statement that states that if it rains, we will not play. Let's say A: it's raining and B: we're not going to play. If A is true (it is raining) and B is false (we played), therefore the statement A implies B is false.
Now, as per the question;
The sentence states that seven people have been tested and that at least one of them tested positive, which means that the minimum number of positive outcomes is one, making options A, B, and C incorrect in aspects of probabilities and statistics. Option A and C state that ALL of them are positive or negative, respectively, which can be supported by the expression "at least," and option B is a restatement of option A.Option D correctly paraphrases the sentences by stating that there was at least one, though there could be more, but this does not guarantee that all.
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The complete question is -
Determine the written description of the complement of the given event. When seven job applicants are tested for a certain ability, at least one of them tests positive. Choose the correct answer below.
A. All of them test positive
B. None of them test negative
C. All of them test negative
D. More than one of them test negative
ab sorumu silmeyin be aga
Answer:
ab don't delete my question aga
Step-by-step explanation:
Please help me get the answer i am curious .
Answer:
197miles
Step-by-step explanation:
because on avg drove 35 miles per gallon. so if we use 6x35 we would have how far he can drive on 6 gallons gas
PLEASE HELP!
Alissa has already made $15 in the last week selling rubber band bracelets. She earns $5 for each bracelet she makes.
Complete the table to show how much money Alissa will have in total if she continues selling bracelets this week.
Using a linear function, the table for her earnings y of producing x bracelets is given as follows:
x = 1, y = 20.x = 2, y = 25.x = 3, y = 30.x = 4, y = 35.x = 5, y = 40.What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For this problem, we have that:
She has already made $15, hence the intercept is of b = 15.She earns $5 for each bracelet, hence the slope is of m = 5.Hence her earnings are modeled as follows:
y = 5x + 15.
The the numeric values are given as follows:
y(1) = 5(1) + 15 = 20.y(2) = 5(2) + 15 = 25.y(3) = 5(3) + 15 = 30.y(4) = 5(4) + 15 = 35.y(5) = 5(5) + 15 = 40.Then the table for her earnings y of producing x bracelets is given as follows:
x = 1, y = 20.x = 2, y = 25.x = 3, y = 30.x = 4, y = 35.x = 5, y = 40.More can be learned about linear functions at https://brainly.com/question/24808124
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You have a coupon for your favorite clothing store for $20 off any purchase of more than $75. The store is
also running a 15%-off sale on its entire inventory. Let x be the original price,
f x( )
be the price with the $20
coupon applied, and
g x( )
be the price with the 15% discount applied.
(a) Write an expression for
f x( ) . (3 points)
(b) Write an expression for
g x( ) . (3 points)
(c) Write the expression
(f g x )( )
and explain what it represents? (3 points)
(d) Write the expression
(g f x )( )
and explain what it represents? (3 points)
(e) If the store allows you to apply both the 15% discount and the $20-off coupon, does it matter which
you apply first? How do you know? (3 points
Answer:
f(x) = (1 - 0.25)x = 0.75x
f(x) = 0.75x
g(x) = (1 - 0.2)x = 0.8x
g(x) = 0.8x
(f o g)(x) = f(g(x)) = 0.75(0.8x) = 0.6x
(f o g)(x) = 0.6x
(g o f)(x) = 0.8(0.75x) = 0.6x
(g o f)(x) = 0.6x
Step-by-step explanation:
It does not matter which one you apply first.
Find the length of segment MN. Round to the nearest tenth.
Write your response in the answer box.
-N(-1, 2)
y
M(-4,-4)
The length of segment MN rounded to the nearest tenth is 6.7 units.
What is the length of segment MN?The distance formula used in finding the distance between two points is expressed as;
D = √( (x₂-x₁)² + (y₂-y₁)² )
Given the data in the question;
Point N(-1, 2)
x₁ = -1y₁ = 2Point M(-4,-4)
x₂ = -4y₂ = -4Plug these values into the above equation.
D = √( (x₂-x₁)² + (y₂-y₁)² )
D = √( ( (-4) - (-1))² + ( (-4) - 2)² )
D = √( ( -4 + 1 )² + ( -4 - 2)² )
D = √( ( -3 )² + ( -6 )² )
D = √( 9 + 36 )
D = √45
D = 3√5
D = 6.7 units
Therefore, the length of segment MN rounded to the nearest tenth is 6.7 units.
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