a circle is described by the equation (x-3)2 + (y+2)2=25 what are the center and radius of the circle
Answers
Answer:
centre = (3, - 2 ) , radius = 5
Step-by-step explanation:
the equation of a circle in standard form is
(x - h )² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
(x - 3 )² + (y + 2 )² = 25 ← is in standard form
with (h, k ) = (3, - 2 ) as centre and r = \(\sqrt{25}\) = 5 as radius
Related Questions
what is a independent and dependent variable
Answers
Answer:
The independent variable doesn't rely on anything to change; it is independent
The dependent variable relies on the independent variable; what happens to it depends on the independent variable
Think of independent and dependent variables like cause and effect: the independent variable is the cause, while the dependent variable is the effect. For example; in an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.
I hope that wasn't to confusing!
I hope this helps! (✿◕‿◕✿)
Ratios Digital Escape! puzzle 2
Answers
Explain more please cause i dont understand
pls answer my question from the above picture
Answers
Answer:
Step-by-step explanation:
\(a^{m}* a^{n}=a^{m+n}\\\\\\(\frac{-1}{2})^{-19}*(\frac{-1}{2})^{8}=(\frac{-1}{2})^{-2x +1}\\\\(\frac{-1}{2})^{-19+8}=(\frac{-1}{2})^{-2x+1}\\\\\\(\frac{-1}{2})^{-11}=(\frac{-1}{2})^{-2x+1}\)
As bases are equal in boht sides, we can compare the exponents.
-2x + 1 = -11
Subtract 1 form both sides
-2x = -11 - 1
-2x = -12
Divide both sides by -2
x = -12/-2
x = 6
If y is a positive integer, for how many different values of y is \(\sqrt[3]{144\y}\)a whole number?
![If y is a positive integer, for how many different values of y is [tex]\sqrt[3]{144\y}[/tex]a whole number?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/XzFygsQsgJcbmnwAq4HbK3IBpEiCUGyd.png)
Answers
Answer:
2
Explanation:
I'll explain later, it has to do with prime factors, and perfect cubes.
The two values of y that work are 18, and 144.
³√(144/18) = ³√(8) = 2 [whole number]
³√(144/144) = ³√(1) = 1 [whole number]
2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
Answers
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
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You construct a tangent to circle O at point X on the circle, as shown below. What do you expect to be the measure of ∠OXY?
Answers
Answer: 90 Degrees :)
Step-by-step explanation:
Ur Welcome ;)
consider the equation below. (if an answer does not exist, enter dne.) f(x) = 9 cos2(x) − 18 sin(x), 0 ≤ x ≤ 2
Answers
The given equation is `f(x) = 9cos²(x) - 18sin(x), 0 ≤ x ≤ 2π`.We can find the maximum value of `f(x)` between `0` and `2π` by using differentiation.
We get,`f′(x)
= -18cos(x)sin(x) - 18cos(x)sin(x)
= -36cos(x)sin(x)`We equate `f′(x)
= 0` to find the critical points.`-36cos(x)sin(x)
= 0``=> cos(x)
= 0 or sin(x)
= 0``=> x = nπ + π/2 or nπ`where `n` is an integer. To determine the nature of the critical points, we use the second derivative test.`f″(x)
= -36(sin²(x) - cos²(x))``
=> f″(nπ) = -36`
`=> f″(nπ + π/2)
= 36`For `x
= nπ`, `f(x)` attains its maximum value since `f″(x) < 0`. For `x
= nπ + π/2`, `f(x)` attains its minimum value since `f″(x) > 0`.Therefore, the maximum value of `f(x)` between `0` and `2π` is `f(nπ)
= 9cos²(nπ) - 18sin(nπ)
= 9`. The minimum value of `f(x)` between `0` and `2π` is `f(nπ + π/2)
= 9cos²(nπ + π/2) - 18sin(nπ + π/2)
= -18`.Thus, the maximum value of the function `f(x)
= 9cos²(x) - 18sin(x)` on the interval `[0, 2π]` is `9` and the minimum value is `-18`.
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8/9+4/7
.........................................
Answers
Answer:
1.46 or 1 ²³/₅₀
Step-by-step explanation:
Just plug it into a calculator!!
Brainliest Please??
Simplify the expression -5(8x-2y)-4(-6x-3y)
Answers
Answer:-16x+22y
Step-by-step explanation:
Distribute the negative 5, then the -4
add and subtract like termd
Answer:
\(-16x+22y\) is your answer!
Step-by-step explanation:
Simplifying
-5(8x + -2y) + -4(-6x + -3y)
(8x * -5 + -2y * -5) + -4(-6x + -3y)
(-40x + 10y) + -4(-6x + -3y)
-40x + 10y + (-6x * -4 + -3y * -4)
-40x + 10y + (24x + 12y)
Reorder the terms:
-40x + 24x + 10y + 12y
Combine like terms: -40x + 24x = -16x
-16x + 10y + 12y
Combine like terms: 10y + 12y = 22y
-16x + 22y
The graph of F(x), shown below, resembles the graph of G(x) = x², but it has been changed somewhat.
Which of the following could be the equation of F(x)?
A. F(x)=2x^2+3
B. F(x)= -x^2+3
C. F(x) = 0.2x²+3
D. F(x)=x²+1
Answers
The equation of f(x) from the graph if, G(x) = x², is F(x) = 2x² + 3, so option A is correct.
What is a graph?A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Given:
G(x) = x²,
As you can see from the graph, the vertex of the parabola is (0, 3),
Write the equation of a parabola as shown below,
y = a(x - 0)² + 3
y = ax² + 3
Here a is the slope of the parabola,
slope = 4 / 2 (from the graph),
slope = 2
Thus, the equation will be,
y = 2x² + 3 or F(x) = 2x² + 3
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The graph of a system of equations is shown below. Which system of equations represents the graph?
A.y = 3x - 5
y = -1/2x + 2
B.y = 2x - 5
y = -1/2x + 2
C.y = 3x - 5
y = -2x + 4
D.y = 2x - 5
y = -2x + 4
Answers
please include a data set of 30 values to go with the frequency table. example being: 1, 2, 3, 4, 5, 6, 7, 7, 8 ect. Image transcription textlestions:
a. Create a data set of 30 values that you feel could represent a group of
student final exam scores. You will invent these values. Be sure that your
data set is unique. Write your data here,
b. Create a frequency table using your data. Choose appropriate ranges.
Include the frequency table:
Range
Frequency
Relative Frequency
c. Given your frequency table results, what is an estimate of the probability
that a student will get a grade of "B" or better, and why?
d. Think about examples in your daily life, at home or at work, where you use
subjective and relative probability. Give examples of each and how they
affect your decision making.
Then responding to your classmates, compare and discuss your estimates for a... Show more
Answers
a. Example data set: 85, 92, 78, 86, 95, 81, 89, 76, 91, 83, 88, 79, 87, 90, 84, 82, 93, 77, 94, 80, 75, 96, 85, 87, 89, 91, 92, 88, 83, 84 b. Frequency Table: Range | Frequency 70-79 | 2 80-89 | 12 90-100 | 16 c. Estimate of the probability of a grade "B" or better is 93.33% based on scores falling within the 80-100 range. d. Subjective probability: Estimating winning chances based on skills. Relative probability: Comparing job offers based on benefits and opportunities.
a. To create a data set of 30 values representing student final exam scores, you can invent unique scores. Here is an example data set:
85, 92, 78, 86, 95, 81, 89, 76, 91, 83, 88, 79, 87, 90, 84, 82, 93, 77, 94, 80, 75, 96, 85, 87, 89, 91, 92, 88, 83, 84
b. To create a frequency table using your data, you need to choose appropriate ranges. Let's use ranges of 70-79, 80-89, and 90-100.
Frequency Table:
Range | Frequency
70-79 | 2
80-89 | 12
90-100 | 16
c. Based on the frequency table, we can estimate the probability that a student will get a grade of "B" or better. In this case, a grade of "B" or better would correspond to scores in the range of 80-100. From the frequency table, we can see that there are 28 scores falling in this range (12 in the 80-89 range and 16 in the 90-100 range).
To estimate the probability, we divide the frequency of scores in the "B" or better range by the total number of scores (30 in this case). So, the estimate of the probability is 28/30 = 0.9333 or 93.33%.
d. In our daily lives, we often encounter subjective and relative probability.
An example of subjective probability is when you estimate the likelihood of winning a game based on your own skills and experience. For instance, if you are a skilled basketball player, you might subjectively estimate a higher probability of winning a basketball match compared to someone who is less experienced.
On the other hand, relative probability involves comparing the likelihood of different outcomes based on the available information. For example, if you have two job offers, you might use relative probability to compare the benefits, salary, and growth opportunities of each position before making a decision.
When responding to your classmates' estimates for a grade of "B" or better, you can compare and discuss the different methods they used, any variations in their data sets, and how those factors might have influenced their estimates. This discussion can help you gain a deeper understanding of probability estimation and the impact of data on the results.
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An iPhone was reduced from $938.99 to $538.99. Find the percent of the reduction in the price. Round your answer to the nearest tenth.
Percent Decrease =
Please explain how you got ur answer or show your work.
Answers
Answer:
42.6%
Step-by-step explanation:
Initial price of the iPhone = $938.99
Final price of the iPhone = $538.99
Decrese in price = $(938.99 - 538.99 )
= $ 400 .
We can calculate decrease in percentage by ,
= Decrease / Initial price * 100
= $400/938.99 * 100
= 42.59%
= 42.6% ( nearest tenth)
Hence the required answer is 42.6% .
dominique paid $280 to rent the party room at kt escape room for 3 1/2 hours. what would it cost to rent the room for one hour
Answers
Answer:
Step-by-step explanation: black lives dont matter
What is the probability that both events occur pls help
Answers
Step-by-step explanation:
Probability of A is 2 out of 6 = 1/3 ( 1 or 6 out of 6 possible rolls)
Probability of B is 3 out of 6 = 1/2 (roll a 1 3 or 5 out of 6 possible rolls)
1/3 * 1/2 = 1/6
Answer:
The probability that both events will occur is \(\frac{1}{6}\).
Step-by-step explanation:
Assuming that your are using a die that goes from 1 to 6, this is the probability ↓
Event A is that the first die is a 1 or 6. 1 and 6 are two numbers out of 6 numbers total. So, we can represent the probability of Event A happening using the fraction \(\frac{2}{6}\) which simplifies to \(\frac{1}{3}\).
Event B is that the second die is odd. Let's look at all the things that might occur when we roll a die.
1. The number we roll is 1.
2. The number we roll is 2.
3. The number we roll is 3.
4. The number we roll is 4.
5. The number we roll is 5.
6. The number we roll is 6.
Out of these numbers, 1, 3, and 5 are odd. here are 6 numbers total. So, we can represent the probability of Event B happening using the fraction \(\frac{3}{6}\) which simplifies to \(\frac{1}{2}\).
Now that we have the individual probabilities, we need to find the probability that both events will occur. To do that, we will multiply the probability of Event A with Event B. \(\frac{1}{3}\) × \(\frac{1}{2}\) = \(\frac{1}{6}\).
Therefore, the probability that both events will occur is \(\frac{1}{6}\).
Hope this helps!
Farmer Ed has 3,000 meters of fencing. and wants to enclose a reclangular plot that borders on a river. If Famer Ed does nat fence the side along the river, What is the largest area that can be enclos
Answers
Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.
What is the largest area that can be enclosed?To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.
Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.
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a manufacturer of headache medicine claims it is 70% effective within a few minutes. that is, out of every 100 users, 70 get relief within a few minutes. a group of 12 patients are given the medicine. if the claim is true, what is the probability that eight have relief within a few minutes?
Answers
0.231140 is the probability that eight have relief within a few minutes .
What is probability explain with an example?
It is based on the probabilities that something could happen. The logic underpinning probability serves as the foundation for theoretical probability. A coin is tossed, for instance, and the theoretical likelihood of getting a head is 1 in 2.let X be the number of patients having relief within a few minutes out of 12 patients.
so X~ Bin(12,p) where p=0.70
so P[8 have relief within a few minutes]=P[X=8]
= ¹²C⁸ * 0.78 * 0.34
= 0.231140
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Find the length of the arc
It’s geometry
Answers
The length of the arc is 8π cm (option B)
What is length of an arc?Arc length is the distance between two points along a section of a curve.
An arc is a part from the circumference of a circle. The area formed by the arc and two radii is called a sector.
The length of an arc is expressed as :
l = (tetha)/360 × 2πr
tetha = 240°
l = 240/360 × 2 × π × 6
l = 240 × 12π/360
l = 2880π/360
l = 8π cm
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What is 50. 7 / 7 bc im not sure I understand
Answers
The value of 50.7 / 7 is approximately equal to 7.24285714.
The given expression is 50.7 / 7.
Creating equal groupings or determining how many individuals are in each group after a fair distribution is the basic objective of division.
To simplify the expression, we need to perform the division operation.
In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
To solve this, we can perform the following steps:
First, we can write the given expression as:
50.7 ÷ 7
Then, we can perform the division operation as shown below:
50.7 ÷ 7
= 7.24285714 (rounded to 8 decimal places)
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Given: The circle below. Which is closest to the of the shaded sector (the larger portion) of th given circle. Round to the nearest whole numb 1056 in 2 44 in2 88 in2 264 in2
Answers
the radius of the circle is r = 12 in
the area of the circle is,
\(\pi\times r^2=\frac{22}{7}\times12^2\)\(=\frac{22}{7}\times12\times12\)we know that the point angle of the circle is 360 degrees
so,
total area is representing 360 degrees
so,
the area of the shaded sector is,
\(=\frac{\frac{22}{7}\times12\times12}{360}\times210\)\(=264in^2\)thus, the correct answer is option D
Cents
140
3
Minutes
3
1 1
Answers
Answer:
25
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
25
Step-by-step explanation:
PLEASE GIVE ME BRAINLEIST
Solve for b: 4b-3(2b-6)>3-(5b+9)
Answers
Answer:
b > -8
Step-by-step explanation:
Given inequality:
\(4b-3(2b-6) > 3-(5b+9)\)
To solve for b, begin by expanding the brackets on the left side of the inequality:
\(4b-3 \cdot 2b -3 \cdot (-6) > 3-(5b+9)\)
\(4b-6b +18 > 3-(5b+9)\)
Distribute the negative sign inside the parentheses on the right side:
\(4b-6b +18 > 3-5b-9\)
Combine like terms on both sides of the inequality:
\(-2b +18 > -5b-6\)
Add 5b to both sides:
\(-2b +18 +5b > -5b-6+5b\)
\(3b+18 > -6\)
Subtract 18 from both sides:
\(3b+18-18 > -6-18\)
\(3b > -24\)
Divide both sides by 3 to isolate b:
\(\dfrac{3b}{3} > \dfrac{-24}{3}\)
\(b > -8\)
Therefore, the solution to the given inequality is:
\(\large\boxed{\boxed{b > -8}}\)
Tiana works at her family's restaurant on the weekends, Her stepfather left the table below on the whiteboard to help her make the oatmeal. Unfortunately, a few spots were accidentally erased. Complete the table for Tiana below.
Answers
To find the amount of oatmeal in ounces for 1 ounce of milk, we use the following proportion
\(\frac{4}{1}=\frac{3\frac{1}{5}}{x}\)Now, we solve for x.
\(\begin{gathered} 4x=3\frac{1}{5} \\ 4x=\frac{3\cdot5+1}{5} \\ 4x=\frac{16}{5} \\ x=\frac{16}{4\cdot5} \\ x=\frac{4}{5} \end{gathered}\)So, for 1 ounce of milk, the amount of oatmeal is 4/5 ounces.
Now, let's find the amount of milk for 5 1/10 ounces of oatmeal.
\(\frac{1}{x}=\frac{\frac{4}{5}}{5\frac{1}{10}}\)Now, we solve for x
\(\begin{gathered} \frac{1}{x}=\frac{\frac{4}{5}}{\frac{5\cdot10+1}{10}} \\ \frac{1}{x}=\frac{\frac{4}{5}}{\frac{51}{10}} \\ \frac{1}{x}=\frac{4\cdot10}{5\cdot51} \\ \frac{1}{x}=\frac{40}{255} \\ x=\frac{255}{40} \\ x=6\frac{3}{8} \end{gathered}\)Hence, there are needed 6 3/8 ounces of milk to get 5 1/10 ounces of oatmilk.
Multiple choice lines question. Please help
Answers
Considering their slopes, these two lines, Line 1 and Line 2, are perpendicular.
When are lines parallel, perpendicular or neither?The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:
If they are equal, the lines are parallel.If their multiplication is of -1, they are perpendicular.Otherwise, they are neither.In this problem, the slopes are given as follows:
m1 = (4 - (-5))/(1 - (-2)) = 3.m2 = (4 - 6)/(6 - 0) = -1/3.The multiplication is given by:
3 x -1/3 = -1.
Hence they are perpendicular.
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Find the dot product of u and v.
u=(7,15)
v = (-5,2)
Answers
Answer:
A.... -5
Step-by-step explanation:
-35 + 30 = -5
Suppose n balls are distributed randomly into n compartments.
What is the probability that m balls will fall into the first compartment? Assume all the n arrangements are equally like.
Answers
The probability that m balls is P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n).
The total number of possible arrangements of distributing n balls into n compartments is given by n^n. Each ball has n choices for which compartment to fall into, and since there are n balls, we multiply n by itself n times.
Now, let's consider the number of ways m balls can fall into the first compartment. We can choose m balls out of the n balls to go into the first compartment in nCm ways, which is the binomial coefficient.
The remaining (n-m) balls can go into any of the remaining (n-1) compartments in (n-1)^(n-m) ways. Therefore, the probability that m balls will fall into the first compartment is given by:
P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n)
This formula calculates the ratio of favorable outcomes (m balls in the first compartment) to the total number of possible outcomes (all possible arrangements of distributing n balls into n compartments).
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The table shows the amount of rainfall, in centimeters, during a
storm in Greenville after a certain number of hours. The amount of rainfall increases
by the same amount each hour. How many centimeters of rain will have fallen after 5
hours?
A. 10
B. 11.5
C. 12.5
D. 13
Answers
Answer:
C. 12.5
Step-by-step explanation:
I got the same question and I put 12.5 and it was correct.
Please help!! Find the equation of variation given that y varies directly with x and y is 25 when x is 5
Answers
Answer:
y=5x
Step-by-step explanation:
If y is 25 and x is 5
25 = 5 (5)
25=25
2 x 4 when is the next seson on tolet bound hanako kun comming out?
Answers
Answer:
8.. the release date of Toilet Bound Hanako Kun season 2 will be spring 2021
Step-by-step explanation:
WE STILL DON'T KNOW... BUT READ THE MANGA IS FASTER THAN WAITING FOR SEASON 2
ow must the units be set up in order to get from the number of eggs used to make a certain number of cookies to the number of eggs needed to make some other number of cookies?
Answers
To get from the number of eggs used to make a certain number of cookies to the number of eggs needed to make some other number of cookies, you would use a proportional relationship.
Let's say x represents the number of eggs used to make a certain number of cookies, y represents the number of cookies made, and z represents the number of eggs needed to make some other number of cookies.
Then, we can set up the proportion:
x eggs / y cookies = z eggs / (some other number of cookies)
We can then solve for z by cross-multiplying:
z eggs = x eggs * (some other number of cookies) / y cookies
This formula tells us how many eggs are needed to make the specified number of cookies, based on the number of eggs used and the number of cookies originally made.
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