The standard form of the equation of a circle is given by: \((x - h)^2 + (y - k)^2 = r^2\)
Where (h, k) are the coordinates of the center of the circle, and r is the radius.
In this case, there are four options provided:
1.\((x - 3)^2 + (y + 1)^2\) = 2
2.\((x + 3)^2 + (y - 1)^2\) = 1
3. \((x - 3)^2 + (y + 1)^2\) = 1
4. \((x + 3)^2 + (y - 1)^2\) = 2
All of these options are already in the standard form of the equation of a circle. The standard form of each circle equation is as follows:
1. Center (3, -1) and radius \(\sqrt{2}\)
2. Center (-3, 1) and radius 1
3. Center (3, -1) and radius 1
4. Center (-3, 1) and radius \(\sqrt{2}\)
To determine which circle equation corresponds to the given graph, you would need to compare the center coordinates and radius of each circle with the features of the graph. Since there is no graph provided, I cannot determine which circle equation is the correct one. However, all four options are already in the standard form of a circle equation.
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Answer:
option b
Step-by-step explanation:
conexxus
which statement is true?
A. 6n+16=6(n+10)
B. 6n+16=4(2n+4)
C. 6n+16=5n+12+n+4
D. 6n+16=8n+14-2n+2-n
Answer:
i think the correct answer is the third one
have a nice day! (^o^)
The mayors office wants to know how people in the city feel about the condition of the city's roads. They place an announcement in the newspaper asking residents to email their opinions to the mayor's office. Five hundred people send e als and about 84% of the responses indicate displeasure with the condition of the city's roads A) This is a simple random sample. It gives very accurate results B) This is a simple random sample. The resuits are not biased, but the sample is so small that variation will be high s a census because all city residents had a chance to provide their opinions. Itgives very accurate results. C)This is a voluntary response sample. It will almost certainly overestimate the level of displeasure the city's residents. D) This is a voluntary response sample. It wil almost certainly underestimate the level of displeasure among sample. It will almost certainly underestimate the level of displeasure among the city's residents
Answer:
D) This is a voluntary response sample. It will almost certainly overestimate the level of displeasure among the city's residents.
The sample is voluntary response because the residents themselves chose whether or not to respond to the announcement in the newspaper. This type of sampling is often biased because those who choose to respond may not be representative of the entire population. In this case, those who are particularly unhappy with the condition of the city's roads may be more likely to respond, while those who are satisfied with the roads may not feel the need to respond. Therefore, the sample is likely to overestimate the level of displeasure among the city's residents.
give thanks and rate5* po! your welcome!
In recent season, the Chicago cubs won 64% of 161 regular season games they played. About how many games did they win?
Answer: 103
Step-by-step explanation:
Chicago cubs have won about 103 games.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The Chicago Cubs won 64% of 161 regular season games they played.
∴ let us assume that they have won x no. of games.
So, 64% of 161 can be numerically written as,
∴ (64/100)×161 = x.
x = 0.64×161.
x = 103 games they have won.
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Determine the independent and dependent variable from the following situation. Delilah was given $50 for her birthday. Every month she saves $15.
independent variable is?
dependent variable is?
In the given situation:
The independent variable is: Time or months. Delilah's saving and accumulation of money depend on the passage of time.
The dependent variable is: Amount of money saved. The amount of money Delilah has saved is dependent on the number of months that have passed and her consistent savings of $15 each month.\(\)
five program systems are prepared so that they work independently of each other. each system has a 0.3 chance of detecting an error. find the probability that at least one program system will detect an error. use 4 decimal places.
The probability that at least one program system will detect an error is 0.8319 (approx) or 0.832 (approx).
How to find the probabilityGiven information:
five program systems are prepared so that they work independently of each other. Each system has a 0.3 chance of detecting an error.
Find the probability that at least one program system will detect an error. Use 4 decimal places.The probability of a system detecting an error is 0.3.
The probability of a system not detecting an error is 1 - 0.3 = 0.7.
Probability that none of the five systems detects an error is, P(error not detected in any of the five systems) = P(not detected in 1st) x P(not detected in 2nd) x ... x P(not detected in 5th) = 0.7 x 0.7 x 0.7 x 0.7 x 0.7 = 0.16807.
The probability that at least one system detects an error is, P(at least one system detects an error) = 1 - P(error not detected in any of the five systems) = 1 - 0.16807 = 0.8319 (approx).
Therefore, the probability that at least one program system will detect an error is 0.8319 (approx) or 0.832 (approx).
Hence, the correct option is 0.832.
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2.75 rounded to two decimal places URGENT
Answer:
it’s still 2.75
Step-by-step explanation:
Consider the following 8 numbers, where one labelled x is unknown. 31, 44, 43, x, 47, 11, 26, 29 Given that the range of the numbers is 57, work out 2 values of x
Answer: -10 and 68
Step-by-step explanation:
We have the numbers, ordered from least to greatest:
11, 26, 29, 31, 43, 44, 47 and x.
The range is equal to the difference between the largest number and the smallest number, so, x can take two values.
The smallest number:
here we have that:
47 - x = 57
x = 47 - 57 = -10
The other possibility is that x is the largest number, in this case, we have that:
x - 11 = 57
x = 57 + 11 = 68.
Then the two possibla values of x are -10 and 68
PLSSS HELP IF YOU TURLY KNOW THISSS
Answer:
16
Step-by-step explanation:
x/8 = 2
Multiply 8 to both sides:
[x = 16]
Answer:
x = 16
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
→ x/8 = 2
Then the value of x will be,
→ x/8 = 2
→ x = 2 × 8
→ x = 16
Hence, the value of x is 16.
The minimal passing score for a test is 80%. There are 12 exercises on the test. What is the minimum number of correct exercises needed to earn a passing score?
Getting each exercise correct gets you 8.3(recurring)%. Therefore if you answer 10 exercises correctly you get 83.3%, and if you answer 9 exercises correctly you get 75%, this means that the minimal exercises you need to get correct is 10.
A circular mirror has a circumference of 50 inches. What is the
radius of the mirror? Show your work.
Answer:
7.96 inches
Step-by-step explanation:
\(2\pi r = 50\\r = 50/(2\pi )\\r = 7.96\)
hope this helped!
f(x)=800x+6 (rate of change)
Answer:
800
Step-by-step explanation:
The slope is the co-efficient of x. The y-intercept is the constant. Hope this helps!
Suppose that you are headed toward a plateau meters high. If the angle of elevation to the top of the plateau is ​, how far are you from the base of the​ plateau?
To determine the distance from the base of the plateau, knowing the height and the angle of elevation to the top, we can use trigonometry and the tangent function.
Let's assume the height of the plateau is 'h' meters and the angle of elevation to the top is 'θ'. We can set up a right triangle with the height of the plateau as the opposite side and the distance from the base to your position as the adjacent side. The tangent function relates the opposite and adjacent sides of a right triangle.
Using trigonometry, we can write the equation:
tan(θ) = h / distance
To isolate the distance, we rearrange the equation:
distance = h / tan(θ)
By plugging in the values for 'h' (height of the plateau) and 'θ' (angle of elevation), we can calculate the distance from the base to your position. Remember to ensure that the angle is in radians if the tangent function expects input in radians.
Keep in mind that this calculation assumes a flat ground leading up to the plateau and neglects any other obstacles or irregularities that might affect the actual distance.
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please help me i don’t know how to solve this
Answer:
welp good luck ha
Step-by-step explanation:
Sophia's class will visit the place located at ( 4 , 1 ) on the park map. Which of the following places is located at ( 4 , 1 ) ? A coordinate plane has an x-axis from 0 to 6 in increments of 1 and a y-axis from 0 to 6 in increments of 1. A point named Nature Center is plotted 1 unit to the right and 1 unit above the origin. A point named Duck Pond is plotted 1 unit to the right and 4 units above the origin. A point named Observation Tower is plotted 3 units to the right and 3 units above the origin. A point named Picnic Shelter is plotted 4 units to the right and 1 unit above the origin. A. Picnic Shelter B. Nature Center C. Duck Pond D. Observation Tower
The place that is located at coordinates (4,1) on the coordinate map is given by the following option:
A. Picnic Shelter.
How to obtain the points on the coordinate map?All the points on the coordinate map have a x-coordinate and an y-coordinate, and the format of the point is given as follows:
(x,y).
The meaning of each coordinate is given as follows:
x-coordinate: horizontal position relative to the origin.y-coordinate: vertical position relative to the origin.The coordinates in this problem are given as follows:
(4,1).
Hence the meaning of these coordinates are given as follows:
Coordinate of 4: 4 units to the right of the origin.Coordinate of 1: 1 unit above the origin.Hence the place is given by:
Picnic Shelter.
Which means that option A is correct.
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help me with these please
Answer:
1. $13.5 ($13.50)
2. $70.96
3. $9.75
4. 25%
Step-by-step explanation:
1. 30% of 45 = 13.5
2. 7.5% of 66 = 4.95,
4.95 + 66 = 70.96
3. 39 - 29.25 = 9.75
What is the 100th digit of pi?what is the hundredth digit of pi? this would include the 3 in the beginning.
100th digit of the pi is 7
Pi (represented by the Greek letter π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159,
The decimal representation of pi (π) is an infinite non-repeating sequence of digits, so there is no simple formula or algorithm to determine the value of its digits. However, you can use a computer program or online tool to calculate the digits of pi to a certain number of decimal places.
Assuming you are looking for the 100th decimal digit of pi, it is 7. This means that if you write out the first 100 digits of pi, the 100th digit is 7.
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Solve the equation.
3(2w−7)=3
Answer:Simplifying
3(2w + -7) = 3
Reorder the terms:
3(-7 + 2w) = 3
(-7 * 3 + 2w * 3) = 3
(-21 + 6w) = 3
Solving
-21 + 6w = 3
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '21' to each side of the equation.
-21 + 21 + 6w = 3 + 21
Combine like terms: -21 + 21 = 0
0 + 6w = 3 + 21
6w = 3 + 21
Combine like terms: 3 + 21 = 24
6w = 24
Divide each side by '6'.
w = 4
Simplifying
w = 4
Step-by-step explanation:
AnswerAnswerAnswerAnswerAnswerAnswerAnswer
:) ·g o o d l u c k ·
What is the value of the expression
-(-4)(-6)-3/5(10+15) divided by 1/3
Answer:
A
Step-by-step explanation:
I hope that helps
The simplified value of the given expression is - 117. Therefore the correct answer is option A.
What is BODMAS rule?
It stands for B - Brackets, O - order of power, D - division, M - multiplication, A - addition, S - subtraction.
Solving the expression
\(\frac{-(-4)(-6)-3/5(10+15)}{1/3} \\=\frac{-(24)-3/5(25)}{1/3}\\=\frac{-(24)-3(5)}{1/3}\\= \frac{-(24)-(15)}{1/3}\\= \frac{(-39)}{1/3}\\= -39 \times 3\\= -117\)
Hence the simplified value of the given expression is - 117. Therefore the correct answer is option A.
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EASY 43 POINTS!!! Hey yall! Can you help im be very grateful if you do!!!!!also stop trolling >:( (95 points)PLZ EXPLAIN
Write an expression to find the perimeter of the rectangle. Simplify the expression by combining the like terms.
Your Answer:
p=___________________+____________________+_____________________+______________________
Answer: P= 9x-0.86y-2.99
I think im right
Step-by-step explanation:
Use equation for perimeter P=2L+2W
The equation of a circle is x^2 + y^2 = 56.25
Answer:
Step-by-step explanation:
General equation of circle with center at (0, 0) : x² + y² = r²
x² + y² = 56.25
x² + y² = 7.5²
Radius = 7.5 units
Center (0 , 0)
please help ! Identify the special angle pair created by angles 1 and 2 in each diagram.
The angle relationship between ∠1 and ∠2 are as follows:
Same side interior anglesalternate interior angles corresponding angles.How to find angle relationships in parallel lines?When parallel lines are cross by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, same interior angles, vertically opposite angles etc.
Therefore. let's find the relationship of the angle 1 and 2 in the parallel lines cut by the transversal.
Hence, the relationship are:
1. Same side interior angles
2. alternate interior angles
3. corresponding angles.
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Participants in a survey were asked the number of hours of television they
watch each week. The dot plot shows the distribution of their responses.
·
H
0 2
4 6 8 10 12 14 16
Number of Hours
After the data was recorded in the dot plot, another response was found for a
participant who watches 30 hours of television each week. How will this
additional data point affect the mean number of hours of television watched
each week?
A. The effect on the mean number of hours cannot be determined.
B. The mean number of hours will decrease.
C. The mean number of hours will increase.
D. The mean number of hours will remain the same.
Please help I been stuck
for the longest
Answer:
6^5 * 9^5
Step-by-step explanation:
( 6*9) ^5
We know that ( ab) ^c = a^ c* b^c
6^5 * 9^5
determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.) an = 3 − (0.3)n
Therefore, the long answer to the given problem is that the sequence converges to a unique limit 30/7.
Given sequence is {an} = 3 - 0.3n, where n = 1, 2, 3,Now we need to determine whether the sequence converges or diverges. If it converges, then we have to find the limit. Let's find some initial terms for the given sequence for n = 1, 2, 3, 4,...an = 3 - 0.3n => a1 = 3 - 0.3(1) = 2.7a2 = 3 - 0.3(2) = 2.4a3 = 3 - 0.3(3) = 2.1a4 = 3 - 0.3(4) = 1.8Notice that as we increase the value of n, the terms of the sequence are decreasing.
Thus, {an} is a decreasing sequence. Now, let's find the limit of the sequence. If the sequence converges to a limit "L", then we have an → L as n → ∞ Therefore, L = lim n→∞ (3 - 0.3n)Using limit laws, we get L = Lim n→∞ 3 - lim n→∞ (0.3n) => L = 3 - 0, where 0 < r < 1Since 0 < r < 1, the limit exists. Hence the sequence converges to the limit L = 3/0.7. Hence the sequence converges to a unique limit, which is equal to 30/7.
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A 20-ounce soft drink costs $1.80. A 12-ounce soft drink costs $1.32.
Answer:
Where do you get this soft drink?
The sales tax rate in New Mexico is $5.125%.
A pair of pants in New Mexico costs $30 before tax.
Answer:
The tax is $1.54 and the price after tax is $31.54
Step-by-step explanation:
Percentages
The procedure to add a percentage ratio p to a given quantity q is:
* Calculate the increase as i = p*q/100
* Add the increase to the original quantity to get the final quantity f=q + i
It's given the sales tax rate in New Mexico is p=5.125%. A pair of pants in New Mexico costs q=$30 before tax.
* The increase (tax) is i = (5.125*30)/100 = $1.54
* The price after tax is f = $30 + $1.54 = $31.54
The tax is $1.54 and the price after tax is $31.54
A car travels 1,295 feet in 5 seconds. At that speed, how far can this car travel in 50 seconds? *
Answer:
12950 feet or about 2.45 miles
What is the predicted number of wins for a team that has an attendance of 17,000?
83.3 wins
98.5 wins
258.4 wins
263.3 wins
Option B. The predicted number of wins for a team that has an attendance of 17,000 is 98.5
How to solve for the predicted numberIn the equation provided, x represents attendance in thousands. So for an attendance of 17,000, you would use x = 17 (since 17,000 = 17*1,000).
Substituting this into the regression equation, you get:
y = 4.9 * 17 + 15.2
Solving this gives:
y = 83.3 + 15.2 = 98.5
So, the predicted number of wins for a team with an attendance of 17,000 is approximately 98.5 (as regression models may predict fractional outcomes, but in reality, a team would have either 98 or 99 wins).
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complete question
A sports statistician was interested in the relationship between game attendance (in thousands) and the number of wins for baseball teams. Information was collected on several teams and was used to obtain the regression equation y = 4.9x + 15.2, where x represents the attendance (in thousands) and y is the predicted number of wins. What is the predicted number of wins for a team that has an attendance of 17,000?
Which of the following quantities are inversely proportional?
The time it takes to use a 5 lb bag of dry cat food and the number of cats, if each cat eats the same amount of food per same time interval.
Answer:
inversely proportional
Step-by-step explanation:
heyy! can someone please help with all these questions:(( i don’t know it and it would be really nice if u helped!!! and please don’t make these excuses saying “where’s the picture” and “I can’t read what it says it’s too blurry” because I really work hard for these points :) so please don’t let me down, thank you so much and I hope you have the greatest day<33 stay safe and stay healthy! / I will post this non stop because no one is helping and just keep taking points away from me :( /
Answer:
1. 1/2 and 2/4
2. They are equivalent because it you put them in simplest form they are going to be equal
3. No
4. They are not equivalent because 1/8 and 1/5 isn't the same so they aren't going to be equal
hope this helps
have a good day :)
Step-by-step explanation: