Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Answers
The only equation that met the condition is x² + (y + 8)² = 36
What is Analytics Geometry?Analytic Geometry is a branch of mathematics that deals with the study of geometry using algebraic methods. It involves using coordinate systems to describe geometric figures and to express geometric properties in terms of algebraic equations.
In particular, the study of equations of circles is a fundamental topic in analytic geometry. A circle is a set of points in a plane that are equidistant from a fixed point called the center. In the coordinate plane, a circle with center (a, b) and radius r can be described by the equation:
(x - a)² + (y - b)² = r²
where x and y are the coordinates of any point on the circle.
Learn more about circle here:
https://brainly.com/question/14068861
#SPJ1
Related Questions
-2.7f+0.2f-13-5= Simplified
Answers
Answer:
− 2.5f − 18
Step-by-step explanation:
Answer:
\(-2.5f-18\)
Step-by-step explanation:
\(-2.7f+0.2f-13-5\)
To simplify the given expression, we must identify and combine like terms. Like terms will have identical variables and/or powers.
Let's identify our first pair of like terms:
\(-2.7f\) & \(0.2f\)
Now our second pair of like terms:
\(-13\) & \(-5\)
Now returning to the given equation, we need to combine the like terms:
\(-2.7f+0.2f-13-5\)
Add \(-2.7f\) & \(0.2f\), and subtract \(5\) from \(-13\):
\(-2.5f-18\)
A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. p=600 - 0.1x and C(x) = 15,000 + 130x . (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue?
Answers
(A)The company should charge $300 per phone and produce 3000 phones to maximize weekly revenue
(B) The maximum weekly revenue is $900,000.
To find the price that maximizes weekly revenue, we need to find the quantity demanded at each price level and multiply it by the price. The weekly revenue equation is:
R(x) = x * p
Substituting the given price-demand equation p = 600 - 0.1x, we get:
R(x) = x(600 - 0.1x) = 600x - 0.1x^2
To maximize revenue, we need to find the critical point of this function by taking the derivative and setting it equal to zero:
R'(x) = 600 - 0.2x = 0
x = 3000
This means that the company should produce 3000 phones to maximize weekly revenue. To find the corresponding price, we substitute x = 3000 into the price-demand equation:
p = 600 - 0.1(3000) = 300
So the company should charge $300 per phone to maximize weekly revenue. The maximum weekly revenue can be found by substituting x = 3000 and p = 300 into the revenue equation:
R(3000) = 3000 * 300 = $900,000
Therefore, the company should charge $300 per phone and produce 3000 phones to maximize weekly revenue, which would be $900,000.
To know more about weekly revenue click here:
https://brainly.com/question/26645671
#SPJ11
A bank officer wants to determine the amount of the average total monthly deposits per customer at the bank. He believes an estimate of this average amount using a confidence interval is sufficient. How large a sample should he take to be within $200 (MOE) of the actual average with 99% confidence? He assumes the standard deviation of total monthly deposits for all customers is about $1000
Answers
After calculating and analyzing the given question, the bank officer should be inclined to take a sample of at least 133 under the condition of within $200 (MOE) of the actual average with 99% confidence.
In the event of determining the size sample needed for understanding average total monthly deposits by implementing the formula
n = (z x Σ / E)²
here,
n = sample size,
z = z-score involving the desired level of confidence,
Σ = population standard deviation,
E = margin of error
Staging the values in the formula
n = (2.576 * 1000 / 200)² = 132.71
≈ 133
After calculating and analyzing the given question, the bank officer should be inclined to take a sample of at least 133 under the condition of within $200 (MOE) of the actual average with 99% confidence.
To learn more about monthly deposits,
https://brainly.com/question/31112326
#SPJ4
Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
Four less than an unknown value A) b + 4
Quotient of a variable and four B) y − 4
Some number to the power of four C) 4x
Four times an unknown value D) a4
Four more than some number E) z ÷ 4
Answers
Quotient of a variable by four is (E)
Some number to the power of four is (D)
I AM SUMMING
Four times and unknown value is (C)
Four more than an unknown value is (A)
what is the slope of the line shown?
Answers
Answer:
slope is 1/2
Step-by-step explanation:
rise is 1 and run is 2
How many times you rise to a specific point and how many times you go left or right is your denominator. Make sure to reduce ;p
Which of the following statements is true for a function with equation f(x) = 5(3)x?
Answers
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
What is the function?A function in mathematics is a connection between a set of inputs (sometimes referred to as the domain) and a set of outputs (also referred to as the range). Each input value is given a different output value.
The y-intercept lies at (0, 5) because the value of the function at x=0 is 530 = 5. The 'constant ratio' is 3, meaning that any increment of 1 in x causes the function value to grow by a factor of 3. (That serves as the exponential term's foundation.)
Learn more about function:https://brainly.com/question/30721594
#SPJ1
Missing parts;
Which of the following statements is true for a function with equation f(x) = 5(3)*?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.
The graph has y-intercept (0, 3) and increases with a constant ratio of 5.
The graph has y-intercept (0,5) and decreases with a constant ratio of 3.
NEED HELP ASAP NO LINKS!!!!!!!
On the first day it was posted online, a music video got 1500 views. The number of views that the video got each day increased by 18% per day. How many total views did the video get over the course of the first 27 days, to the nearest whole number?
Answers
Answer:
48
Step-by-step explanation:
18% of 1500 is 270
270x18% is 48.6 since it increased by 18%
When you write an interpretive literary analysis using a quotation, why should you discuss literature that you have read in the analysis? it serves as a prompt for the interpretive literary analysis. it provides evidence to support the interpretation of the quotation. it determines the meaning of the quotation that is used. it offers an entertaining viewpoint for the reader.
Answers
You should discuss the literature that you have read in the analysis is to provide evidence to support the interpretation of the quotation.
What is interpretive literary analysis?The skill of interpretive literary analysis helps us to relate one work of literature to another and thereby be able to draw meaning especially from a quoted text.
The reason why you should discuss the literature that you have read in the analysis is to provide evidence to support the interpretation of the quotation.
Learn more about interpretive literary analysis:https://brainly.com/question/12251019
#SPJ4
Use the box method to distribute and
simplify (-5x - 2) (5x + 4). Drag and
drop the terms to the correct locations of
the table.
( − 5x − 2)(5x+4)
You must answer all questions above
in order to submit.
Answers
Create a table with the place values for the first and second factors down the left and the top and bottom, respectively.
What is the box method?
Multiplication using the box method: Create a table with the place values of the first and second factors down the left and the top and bottom, respectively. Second step: multiply the place values and add the results to the table. Step 3: Add up all of the table's rows. Step 4: Add the sums of these rows.
Placing the first word in the first box and the last term in the last box is the first step in utilizing the box technique to factor a trinomial. Multiply the first and last boxes after that. Identify the first and last boxes' products, which together make up the middle word. Put these words in the remaining spaces.
Here's how you can use the box method to distribute and simplify the expression:
( -5x - 2 ) ( 5x + 4 )
⇒-5x -2
⇒5x 4
⇒-25x^2 -10x + 20x - 8
⇒-25x^2 + 10x - 8
So the simplified expression is:
-25x^2 + 10x - 8.
To learn more about box method refer to:
brainly.com/question/30032821
#SPJ1
whats 80-40=
im dum answer this now.
Answers
Answer:
1010101001001010010100010100101011010101011010101101010100101010101001*****Error*****(bsys2EVRYBODY7dgheHATESjsdjhdjMEndbndnd822b3)*****Error*****
Step-by-step explanation:
Answer:
40 Thnxxx soooo muchhh really appreciate ittt
the equation y=12.7x+15.2 estimates the amount that businesses will spend, in billions of dollars, on internet software to conduct transactions via the web, where x is the number of years after 2002. for what years will the spending be more than $66 billion?
Answers
The years when the spending be more than $66 billion is in 4 years time.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
The equation is given as y=12.7x+15.2 and the amount is $66 billion. Therefore, the value of x will be:
y=12.7x+15.2
66 = 12.7x + 15.2
Collect like terms
12.7x = 66 - 15.2
12.7x = 50.8
Divide
x = 50.8 / 12.7
x = 4
The number of years is 4.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Which of the following expressions is larger? 3.67 x 10^2 or 1.9 x 10^2
Answers
Answer:
3.67 x 10^2 is larger
Step-by-step explanation:
Answer:
3.67 x 10^2 is larger than 1.9 x 10^2
Step-by-step explanation: Multiply
Ryan is 29 years old and works for a company that matches his 401(k) contribution up to 5.5%. The interest rate for his 401(k) is 6.78%. If he puts away 9% of his $58,000 salary every year, how much would he have saved in 12 years? Round your answer to the nearest cent. Show work.
Answers
Ryan's employer matches his 401(k) contribution up to 5.5%, which means for every dollar he puts in, his employer adds another $0.055.
The interest rate for his 401(k) is 6.78%, so his total return on investment would be 6.78% + 5.5% = 12.28%.
Ryan puts away 9% of his $58,000 salary every year, which is $5,220 per year. After 12 years, he would have saved a total of $62,640 ($5,220 x 12).
To calculate the total amount with interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the total amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
Plugging in the values, we get:
A = $62,640(1 + 0.1228/12)^(12*12)
A = $179,058.14
Therefore, after 12 years, Ryan would have saved $179,058.14 with interest. Rounded to the nearest cent, the answer is $179,058.14.
learn more about interest here: brainly.com/question/30955042
#SPJ11
Given the following frequency table of values, is the mean or the median likely to be a better measure of the center of the data set? Value Frequency 23 Select the correct answer below. O Mean O Median
Answers
The median is likely to be a better measure of the center of the data set because the median is immune to outliers since it is dependent only on the middle values in the dataset.
When dealing with skewed data, the median is a better measure of central tendency than the mean. A data set that is skewed will have a mean that is skewed in the same direction as the tail. The median is the middle number in a dataset that has been sorted in ascending or descending order.
If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values. To find the median in this frequency table, you'll first need to calculate the total number of observations.
Since each observation is listed with its frequency in the table, you can find the total number of observations by adding up the frequencies. Thus, there are 23 total observations. The median of this dataset is then the 12th value since 11 values are below it and 11 values are above it. Since there is only one value in the middle, that value is the median. Thus, the median of this dataset is 23.
Know more about median here:
https://brainly.com/question/28060453
#SPJ11
The complete question is:
Given the following frequency table of values, is the mean or the median likely to be a better measure of the center of the data set?
Value Frequency
23 4
24 3
25 4
26 4
27 2
28 4
Select the correct answer below. O Mean O Median.
uli is surveying americans regarding their covid-19 habits and behaviors. he would like to end up with a large, nationally representative sample when he is finished collecting data. which type of sampling should uli use to meet these goals?
Answers
Uli should use a method of probability sampling called stratified random sampling to obtain a large, nationally representative sample of Americans for his survey on COVID-19 habits and behaviors.
Uli should use stratified random sampling for a large, nationally representative sample.
Stratified random sampling involves dividing the population into distinct subgroups or strata based on certain characteristics (e.g., age, gender, geographic region), and then randomly selecting participants from each stratum. This method ensures that each subgroup is represented proportionally in the final sample.
To achieve a nationally representative sample, Uli can first identify the key demographic characteristics that are important for his study, such as age, gender, ethnicity, and geographic location. He can then obtain a list or database that includes a representative distribution of these characteristics across the entire population of the United States.
Next, Uli can randomly select participants from each stratum in proportion to their representation in the population. This approach helps to ensure that the final sample accurately reflects the diversity of the American population. By employing stratified random sampling, Uli can obtain a large and nationally representative sample for his survey on COVID-19 habits and behaviors.
To learn more about probability refer:
https://brainly.com/question/25839839
#SPJ11
answer for me this simple question. and thanx
Answers
An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated. (True or False)
Answers
The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.
Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.
In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.
This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.
However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.
As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.
As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.
For similar question on parameter:
https://brainly.com/question/12393177
#SPJ11
Imagine we are given a sample of n observations y = (y1, . . . , yn). write down the joint probability of this sample of data
Answers
This can be written as P(y1) * P(y2) * ... * P(yn).The joint probability of a sample of n observations, y = (y1, . . . , yn), can be written as the product of the probabilities of each individual observation.
To find the joint probability, you need to calculate the probability of each individual observation.
This can be done by either using a probability distribution function or by estimating the probabilities based on the given data.
Once you have the probabilities for each observation, simply multiply them together to get the joint probability.
The joint probability of a sample of n observations, y = (y1, . . . , yn), can be written as the product of the probabilities of each individual observation.
This can be expressed as P(y) = P(y1) * P(y2) * ... * P(yn), where P(y1) represents the probability of the first observation, P(y2) represents the probability of the second observation, and so on.
To calculate the probabilities of each observation, you can use a probability distribution function if the distribution of the data is known. For example, if the data follows a normal distribution, you can use the probability density function of the normal distribution to calculate the probabilities.
If the distribution is not known, you can estimate the probabilities based on the given data. One way to do this is by counting the frequency of each observation and dividing it by the total number of observations. This gives you an empirical estimate of the probability.
Once you have the probabilities for each observation, you simply multiply them together to obtain the joint probability. This joint probability represents the likelihood of observing the entire sample of data.
To learn more about probability
https://brainly.com/question/31828911
#SPJ11
Determine the value for x
Answers
Answer:
5 im pretty sure
Step-by-step explanation:
if im right, can you mark me brainliest?
matt joins a gym the cost includes a one time fee of 200 plus a monthly fee of 20
Answers
The total cost paid by Matt if he joins for 6 months is found as 320.
How to form linear equation with one variable?The equation for a linear equation in one variable is written as ax+b = 0, whereby there and b were also two integers, as well as x is a variable. This equation has had only one solution. For instance, the linear equation 2x+3=8 only has one variable. As a result, this equation has a single solution, x = 5/2.For the stated query:
The joining cost of gym = 200
The month cost = 20.
Let the number of month be 'x'.
Let the total cost be 'c'.
Then , linear equation forms be.
c = 200 + 20x
For 6 months, put x = 6.
c = 200 + 20*6
c = 200 + 120
c = 320
Thus, the total cost paid by Matt if he joins for 6 months is found as 320.
To know more about the linear equation, here
https://brainly.com/question/2030026
#SPJ1
The complete question is-
Matt joins a gym the cost includes a one time fee of 200 plus a monthly fee of 20. Find the total cost paid by Matt if he joins for 6 months.
The sum of all interior angles in a polygon is 9 degrees. How many sides does the polygon have? Please show your working.
Answers
this is because to find the interior angles in a polygon, we use the equation:
(number of sides - 2) x 180
therefore to find the amount of sides, we reverse it:
(sum of interior angles / 180) + 2
(9/180) + 2
0.05 + 2
2.05
find the volume of a cone with a height 7 and radius 7
Answers
Answer:
359.19
Step-by-step explanation:
Using the formula V=(πr^2) * h/3 and plugging in the given values we get 359.19.
I estimated pi at about 3.14
a circular pool is surrounded by a brick walkway 3 m wide. find the ra- dius of the pool if the area of the walk- way is 198 m*.
Answers
The radius of the pool is 9.01 m.
Given,
In the question:
A circular pool is surrounded by a brick walkway 3 m wide.
The area of the walk- way is 198 m^2.
To find the Radius of the pool.
Now, According to the question:
"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".
Let R = Radius of the pool
Area of the circle bounded by the outside edge of the walkway is:
\(\pi\)(R +3)^2
Area of the pool is:
\(\pi R^2\)
Now, Our equation is:;
\(\pi\)(R +3)^2 - \(\pi R^2\) = 198
\(\pi\)((R+3)^2 - \(R^2\)) = 198
Open the inner bracket :
\(\pi\)(\(R^2+6R+9-R^2\)) = 198
\(\pi\)(6R +9) = 198
6R+9 = 198/\(\pi\)
6R = 198/\(\pi\) - 9
R = (198/\(\pi\) - 9)/6
R = (198/(3.14) - 9)/6
R = (63.057 - 9)/6
R = 54.057/6
R = 9.01 meters
Hence, The radius of the pool is 9.01 m.
Learn more about Radius of circle at:
https://brainly.com/question/28946570
#SPJ4
2(9x - 1) = 99-7(3 - 4x)
help please
Answers
Answer:
x = -8
Step-by-step explanation:
Distribute on both sides
combine constants
combine variables
then divide
Answer:
2(9x - 1) = 99-7(3 - 4x)
Step-by-step explanation:
2(9x + -1) = 99 + -7(3 + -4x)
What is 2+2+6-1 ????
Answers
Answer:
(2+2+6)-1(10)-1= 9Step-by-step explanation:
hope that will help youAnswer:
\(2 + 2 = 4\)
\(4 + 6 = 10\)
\(10 - 1 = 9\)
Step-by-step explanation:
Answer =9
Hope this is correct and helpful
HAVE A GOOD DAY!
What is the measure of the unknown angle?
Image of a straight angle divided into two angles. One angle is eighty degrees and the other is unknown.
Answers
Answer:
The other angle is 100
Step-by-step explanation:
A straight line is 180, and if one angle is 80, then 180-80=100, giving you your answer. ^^
Answer:
i think the answer will be 180-80?
What is the value of the function f(x)=x2−5x+2 evaluated at x=−3.5 ??
Answers
Answer:
31,75
Step-by-step explanation:
at x = -3,5 => f(x) = (-3,5)^2 - 5.(-3,5) + 2 = 31,75
Answer:
f(x)=31.75
Step-by-step explanation:
HELP!!!
WHAT IS THE AREA OF THE POLYGON IN SQUARE UNITS?
A- 180 square units
B- 108 square units
C- 70 square units
D- 64 square units
Answers
Answer: C
Step-by-step explanation:
area of rectangle = (5--2) × (2--2) = 7 × 4 = 28
area of triangle = ((12-5) × (6--6)) ÷ 2 = (7 × 12) ÷ 2 = 84 ÷ 2 = 42
total area = 28 + 42 = 70
what is the largest integer that is a divisor of \[(n 1)(n 3)(n 5)(n 7)(n 9)\] for all positive even integers $n$?
Answers
The largest integer that is a divisor of (n 1)(n 3)(n 57)(n 9 ) for all positive even integers $n$ is the largest prime factor of $n_9$.
The given expression consists of five consecutive odd numbers: $(n_1), (n_3), (n_5), (n_7), (n_9)$. When we multiply these consecutive odd numbers, all their prime factors cancel out except for the largest prime factor, which is the prime factor of the largest odd number.
Since we are considering even numbers, the largest odd number in this case is $n_9$. Therefore, the largest prime factor of the expression is the largest prime factor of $n_9$.
To find the largest prime factor of a number, we can start dividing it by the smallest prime numbers (2, 3, 5, etc.) and keep dividing until we can't divide anymore. The result will be the largest prime factor.
Know more about largest prime factor here;
https://brainly.com/question/72851
#SPJ11
Jack is standing on the ground talking on his mobile phone. He notices a plane flying at an altitude of
2400 metres. If the angle of elevation to the plane is 70° and by the end of his phone call it has an angle
of elevation of 50°, determine the distance the plane has flown during Jack’s phone call - use the cosine rule
Answers
Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.
To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.
The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.
We know that the altitude of the plane remains constant at 2400 meters.
According to the cosine rule:
\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)
Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.
For the initial angle of elevation (70°), we have the equation:
\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)
Similarly, for the final angle of elevation (50°), we have:
\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)
To find the distance the plane has flown, we subtract the two equations:
\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)
Now we can solve this equation to find the value of a, which represents the distance the plane has flown.
Finally, we calculate the square root of \(a^2\) to find the distance in meters.
It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.
For similar question on cosine rule.
https://brainly.com/question/27613782
#SPJ8