Find the center and radius of the circle. Write thestandard form of the equation.AY6-40,2)(3,2).The center of the circle is (h,k) = (3,2)(Type an ordered pair.)The radius of the circle is r= 3.The equation of the circle in standard form is (-(Type your answer in standard form.)
Answers
The standard form of the equation of the circle is:
\((x-h)^2+(y-k)=r^2\)Therefore, the equation of a circle centered in (3,2)=(h,k) and radius r=3 is:
\(\begin{gathered} (x-3)^2+(y-2)^2=3^2=9 \\ \Rightarrow(x-3)^2+(y-2)^2=9 \end{gathered}\)The last line is the equation of the circle in the standard form we are looking for.
The center of the circle and its radius is given by the problem, as far as I can see, and those are (3,2) and 3 respectively.
Related Questions
What value is equivalent to 3 x 12 / (4 + 2) ? Answer to work the problem is 6. Is that the value? I’m reading the expression as tho there should be a variable
Answers
Answer:
6
Step-by-step explanation:
3x12 = 36
(4+2) 6
simplify
36/6=6
The value is indeed 6 and there shouldn't be a variable because if there is, then there should be a variable in the question.
The simplified form of the expression (3 × 12)/(4 + 2) is 6.
What is PEMDAS rule?PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.
Given, An expression (3 × 12)/(4 + 2).
Now, 12×3 is 36, and (4 + 2) is 6.
Therefore the simplified form of the expression is,
= 36/6.
Now, we know that 6 times 6 is 36 so, 36 divided by 6 the quotient should be 6.
Therefore,
36/6.
= 6.
So, The value of the expression (3 × 12)/(4 + 2) is 6.
learn more about numerical expressions here :
https://brainly.com/question/29778337
#SPJ6
A scuba diver is descending at an average rate of 39.8 feet per minute.
What value represents the scuba diver's elevation relative to sea level after 2.9 minutes?
Enter your answer in the box.
ft
Plzzzz help I will give u brainly
Answers
Answer: 115.42 ft
Step-by-step explanation:
Which of the following real-life situations is likely to involve a quadrilateral?
O a
O b
O c
Od
inflating a spherical balloon
baking a 3-layer circular cake
tiling a trapezoidal floor
building a pyramid with a triangle base
Answers
The real-life situation that is likely to involve a quadrilateral is tiling a trapezoidal floor. That is option C.
What a quadrilateral?A quadrilateral is defined as the structure or object that has four sides or edges, and also has four corners or vertices.
There are various types of quadrilateral that includes the following:
TrapezoidParallelogram.Rectangle.Rhombus.Square.Kite.Therefore, the tilling of trapezoidal floor is a typical example of a real-life situation that is likely to involve a quadrilateral.
Learn more about trapezoid here:
https://brainly.com/question/26256563
#SPJ1
During an experiment, the current in a circuit was measured 8 times and recorded as shown below. Calculate the standard deviation of the current to two decimal places.
Answers
Standard Deviation for given set of data is 0.25634797778466.
What is standard deviation?
Standard deviation is a measurement of how evenly distributed a set of numbers is. Since the variance is the squared average of the squared deviations from the mean, it represents the square root of the variance.For instance: To determine the standard deviation, sum all of the numbers inside this data set, divide by the total number of numbers, and the result is the standard deviation.Given that,
Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1
Count, N: 8
Sum, submission x: 97.6
Mean, x: 12.2
Variance, s2: 0.065714285714286
s^2 = Σ(xi - x)^2/N - 1
= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1
= 0.46/7
= 0.065714285714286
s = √0.065714285714286
= 0.25634797778466
Standard Deviation for given set of data is 0.25634797778466.
To learn more about Standard Deviation visit:
https://brainly.com/question/26941429
#SPJ1
Write a statement that correctly describes the relationship between these two sequences: 2, 4, 6, 8, 10 and 1, 2, 3, 4, 5.
Answers
Answer:
The equation a + d(n-1)
Step-by-step explanation:
Where a is the first number in the sequence, d is the common difference and n is the position of a certain number in the series, e.g
1, 2, 3, 4, 5: a = 1, d = 1 (because 2-1=1, 3-2=1, 4-3=1, etc) and n = 1,2,3...
2, 4, 6, 8, 10: a = 2, d = 2 (because 4-2=2, 6-4=2, etc) and n = 1,2,3,4,5...
So for the second sequence, we could try to get the value of n in n = 6 as follows:
a + d(n-1) where a = 2, n = 6 and d = 2
Thus, 2 + 2(6-1) = 2 + 2(5) = 2 + 10 = 12
So the sixth number in the series would be 12
Can some please explain how to solve this? Thank you. 1/2(3/2y+1/3)=-1/2(y-5/2)
Answers
First, write the equation:
1/2 (3/2y+1/3) = -1/2 (y-5/2)
First, distribute 1/2 by multiplying that by 3/2y and 1/3. At the same time, distribute -1/2 by multiplying that by y and -5/2. It should look like:
3/4y + 1/6 = -1/2y + 5/4
When solving to find a variable, you want to get the variable to only one side of the equation. Add 1/2y to both sides of the equation. However, when you have to add 3/4y + 1/2y, you’ll notice that the denominators are different, meaning you have to change them to make the denominators the same. Multiply 1/2 by 2 to get 2/4. Now, add 3/4 + 2/4 to get 5/4. This is what you should now have:
5/4y + 1/6 = 5/4
Next, you want to try and get the variable number by itself. As you can see, 1/6 prevents it from being by itself on one side of the equation. Subtract 1/6 from both sides. Once again, you cannot do this because the denominators aren’t the same. Multiply 5/4 by 6 and 1/6 by 4 to get 30/24 minus 4/24, which equals 26/24. You can now simplify that to 13/12. Now your equation should look like this:
5/4y = 13/12
Divide both sides of the equation by 5/4 to get y = 13/15. That is your final answer. Hope this helped! Sorry if this answer was rlly long lol
Answer:
Step-by-step explanation:
52y−13=−12 5 2 y - 1 3 = - 1 2. Combine 52 5 2 and y y . 5y2−13=−12 5 y 2 - 1 3 = - 1 2. Move all terms not containing y y to the right side of the equation.
(-1,5) to (4,1). Round to nearest tenth
Answers
Answer:
6.40
Hope this helped somehow
6. A is a relationship between two variables x and y such that every input x produce exact one output y
Answers
The function notation for A would be A(x) = y
How to determine the function notation of AFrom the question, we have the following parameters that can be used in our computation:
A is a relationship between two variables x and y Every input x produce exact one output yThis means that
The function can be expressed as
y = A(x)
This implies that:
The function A relates x and y
Read more about function at
https://brainly.com/question/1415456
#SPJ1
Complete question
A is a relationship between two variables x and y such that every input x produce exact one output y. What is the function notation of A
For each value of x determine whether it is a solution
Answers
Hey !
Question :For each value of x determine whether it is a solution to 45 = -9 ( x + 5 )
Given :In the question we have given an equation i.e. :
45 = -9 ( x + 5 )In the question values of x are also given i.e. :
5-71-4To Determine :In this question we have to determine whether given value of x are solution fo the given equation or not .
How we have to solve this question :We are solving this question by substituting given value of x in the equation if equation satisfied then it means that the value for x is solution of the equation .
So Let's get started :1) Value of x as 5 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as 5 :
45 = -9 ( 5 + 5 )45 = -9 ( 10 )45 = -90But , 45 is not equal to -90Therefore , 5 is not the solution for equation .
2) Value of x as -7 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as -7 :
45 = -9 ( -7 + 5 )45 = -9 ( -2 )45 = 18But , 45 is not equal to 18Therefore , -7 is not the solution for equation .
3) Value of x as 1 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as 1 :
45 = -9 ( 1 + 5 )45 = -9 ( 6 )45 = -54But , 45 is not equal to -54Therefore , 1 is not the solution for equation .
4) Value of x as -4 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as -4 :
45 = -9 ( -4 + 5 )45 = -9 ( 1 )45 = -9But , 45 is not equal to -9Therefore , -4 is not the solution for equation .
So ,In there is no proper value of x that can be solution of the given equation .\( Keep \: Learning\)
How do you know that point is a solution to the following two equations, which are shown in the graph? y = x + 9 and and y = -2x - 3 C Because 1. (-4) +9 = 5 and -2.(-5) - 3 = 7 ✓ Because 1 • (-9) + 9 = 0 and -2 • (-1) - 3 - 0 Because 1 • (-5) + 9 = 4 and 2 • (-4) - 3 = 5 Because 1. (-4) + 9 = 5 and -2 • (-4) - 3 = 5
Answers
the given expression is,
y = x +9 & y = -2x -3
so the solution for both the line will be the intersection point of the lines,
so equate the equation,
x + 9 = -2x - 3
x + 2x = -3 - 9
3x = - 12
x = -12/3
x = -4
put x = -4 in the equation
Which one is the correct choice?
Answers
Therefore, the correct response From these integral is option D is.
``` 10 + ∫₅¹ R(t) dt
What is an integral?An integral is a mathematical construct in mathematics that can be used to represent an area or a generalization of an area. It computes volumes, areas, and their generalizations. Computing an integral is the process of integration.
Integration can be used, for instance, to determine the area under a curve connecting two points on a graph. The integral of the rate function R(t) with respect to time t can be used to describe how much water is present in a tank.
The following equation can be used to determine how much water is in the tank at time t = 5 if there are 10 gallons of water in the tank at time t = 1.
``` 10 + ∫₅¹ R(t) dt
To know more about integral visit:
brainly.com/question/30900582
#SPJ1
Helppppppppppppppppppppppp!!!!!!!!!! Plz
Answers
Answer:
a
Step-by-step explanation:
the answer is a as proven by the othee options being false
45% of 40 is 18% of what number?
Answers
Answer:
100
Step-by-step explanation:
40 / 100= .4
.4 x 45 = 18
18/18= 1
1x 100= 100
Answer:
100
Step-by-step explanation:
:D
Topic: personal finance lesson 3.3
-Please don’t just give the answer. I need the explanation too so I can actually learn.
Jim’s parents paid for the first three years of his college costs. When he was a college senior, he was approved for an unsubsidized loan in the amount of $15,200 at a 4.29% interest rate for 10 years.
If he chooses to make interest-only payments until the monthly loan payments are due, for
how long will he be making interest only payments?
What is the total amount of his interest only payments?
If he begins the loan replacement with no interest capitalization because he already paid the interest when he was in school and during the 6 month grace period, how much will he have paid in interest for this loan by the end of the 10 year loan period?
Answers
1. If Jim chooses to make interest-only payments until the monthly loan payments are due, he will make interest-only payments for 1 year and 6 months or 1¹/₂ years.
2. The total amount of Jim's interest-only payments is $978.12.
3. If Jim starts the loan repayment with no interest capitalization, the total interest he has to pay on the student loan after the grace period is $6,520.80.
What is the grace period?Graduating students enjoy a six-month grace period before repaying their student loans.
The grace period enables the graduates to get employment and earn income.
Unsubsidized student's loan = $15,200
Interest rate = 4.29%
Loan period = 10 years
Length of interest-only payments = Senior Year + 6 months Grace Period
= 1 + ¹/₂
= 1¹/₂ years
0r 18 months.
Interest-only amount during the 1¹/₂ years = $978.12 ($15,200 x 4.29% x 1.5)
Interest payments after the grace period = $6,520.80 ($15,200 x 4.29% x 10)
Total payments for the loan = Unsubsidized loan + Interest-only payments + Interest payments after the grace period.
= $22,698.92 ($15,200 + $978.12 + $6,520.80)
Thus, Jim's total payments before, during, and after the grace period are $22,698.92.
Learn more about students' grace period at brainly.com/question/1348326
#SPJ1
Tuesday
Describe the shape resulting from the cross section of the
roll of cookie dough.
Answers
Find y. Please round your answer off to the nearest HUNDRETH. (#.##) 5 63° Х 5 у Your answer
Answers
Solution
For this case we can use the following properties:
\(\cos 63=\frac{5}{x}\)\(\sin 63=\frac{y}{x}\)We can solve for x and we got:
\(x=\frac{5}{\cos63}=11.01\)Then we can find the value of y using the Pythegoras theorem and we have:
\(y=\sqrt[]{(11.01)^2-(5)^2}=9.81\)which transformations of the graph of f(x)=-4^x result in the graph of f(x)=4^x+3?
Answers
Answer:
Reflection over the x-axis and shifted 3 units to the left
Step-by-step explanation:
From the parent graph f(x) = \(-4^x\), we can conclude that:
1. Reflected over the x-axis because we multiplied by -1 to flip it to positive.
2. Horizontally shifted the graph to the left because of the +3 (take the opposite for horizontal movement)
That is how we get f(x) = \(4^{x+3}\).
Edit: I have no idea why the mods and AL2006 reported my answer and deleted it. I still got the same answer. The child function f(x) = \(4^{x+3}\), not f(x) = \(4^x+3\)
The graph of f(x) is shown below. The function g(x) is defined below. Which of the following statements is true? A. The y-intercept of g(x) is greater than the y-intercept of f(x). B. The y-intercept of f(x) is equal to the y-intercept of g(x). C. The y-intercept of g(x) cannot be determined from the given information. D. The y-intercept of f(x) is greater than the y-intercept of g(x).
Answers
Answer: b i think
Step-by-step explanation:
Pensacola, Florida , gets an average of 64.28inches of precipitation per year. Key West , Florida, gets an average of 38.94 inches per year. About how many more inches of precipitation does Pensacola get than key west ?
Answers
Answer: 25.34 inches of precipitation
Step-by-step explanation: you have to subtract the precipitation from pensacola by the precipitation from Key West. so when you subtract the 2 you get 25.34 inches
50 students in the fourth grade class list of their hair and eye colors in the table below are the events green eyes and brown hair independent
Answers
Answer:
câu này là 500 nhen
Graph by completing the square x2-2x+y2+6y-6=0
Answers
The equation in the standard form of a circle and find the centre and radius:
(x - 1)²/31 + (y + 3)²/31/3 = 1
To graph by completing the square, we need to rearrange the equation so that it has the form:
(x - h)² + (y - k)² = r²
Starting with x² - 2x + y² + 6y - 6 = 0:
First, we can factor out a 2 from the x terms and a 6 from the y terms:
2(x² - 2x) + 6(y² + 6y) - 6 = 0
Next, we need to complete the square for the x and y terms:
2(x² - 2x + 1) + 6(y² + 6y + 9) - 6 = 2(1) + 6(9)
Simplifying, we get:
2(x - 1)² + 6(y + 3)² = 62
Now we can rewrite the equation in the standard form of a circle and find the centre and radius:
(x - 1)²/31 + (y + 3)²/31/3 = 1
The centre of the circle is (1, -3), and the radius is √(31/3).
The graph is attached with the answer below.
To know more about the equation of a circle follow
https://brainly.com/question/29014973
#SPJ1
Find the exact solution to the equation. Just type in the final solution, do NOT include x=
250(1/5)^x/2=2
Answers
Merry Christmas
A spherical chocolate covered candy hasa diameter of 8cm. 4Part of the candy is a chocolate shell thatis .5cm thick.What is the volume ofjust the chocolate shell?
Answers
We want to calculate the volume of the spherical shell of chocolate.
The chocolate shell is spherical with a thickness of 0.5cm
Volumes of spherical shells can be calculated with the formula;
\(V_{shell}=\frac{4}{3}\pi(R^3-r^3)\)The outer diameter is 8cm. The outer radius is therefore 4cm
The inner diameter is 8-2(0.5)=7cm. The inner radius is therefore 3.5cm
Therefore, we can find the volume of the chocolate shell as;
\(V_{shell}=\frac{4}{3}\pi(4^3-3.5^3)=88.5\operatorname{cm}^3\)Therefore,
\(V_{shell}=88.5\operatorname{cm}^3\)PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!
Answers
The predicted area of the circle is 49.67 cm²
Function and valuesGiven the expression that represents the least regression line as shown below:
log(Area) = 0.490 + 2.004log(time)
Given that the time after the stone is dropped is 4 seconds, the equivalent area is expressed as:
log(Area) = 0.490 + 2.004log(4)
log(Area) = 0.490 + 8.016
log(Area) = 1.6965cm
Area = 10^1.696
Area= 49.67 cm²
Hence the predicted area of the circle is 49.67 cm²
Learn more on function and values here: https://brainly.com/question/2284360
#SPJ1
the length of a rectangle is 2 inches more than 3 times the width find the area when the width is 2.5 inches
Answers
Step-by-step explanation:
Let's call the width of the rectangle "w".
The length of the rectangle is given as 2 inches more than 3 times the width:
l = 3w + 2
When the width is 2.5 inches, the length can be found:
l = 3 * 2.5 + 2 = 7.5 + 2 = 9.5 inches
The area of the rectangle can be found by multiplying the length and width:
A = l * w = 9.5 * 2.5 = 23.75 square inches.
If Levi eats 1/5 of pie, Travis eats 1/4 of the same pie, and Delaney eats 2/7 of the same pie, what fraction of the pie did they eat altogether
Answers
ANSWER
Since the word altogether which is the key word means the sum so we will add all the fractions i.e
= 1/5 + 1/4 + 2/7
LCM of 5,4 and 7 = 140
= ⅕×140 + ¼×140 + ²/⁷×140
140
= 28 + 35 + 40
140
= 103
140
Therefore the total fraction is 103
140
Addison plays 6 songs in of an hr. How many
songs can she play for 4 hours?
Answers
Answer:
24
Step-by-step explanation:
4x6=12or 2x6=12so then 12+12=24
Answer:
6 songs per hour, so multiply that with the number asked which is four
so four times six is24
so she can play 24 songs in four hours!
~ ...
~ !
~ !
A set of average city temperatures in December are normally distributed with a mean of 16. 3 ∘ C 16.3 ∘ C16, point, 3, degrees, start text, C, end text and a standard deviation of 2 ∘ C 2 ∘ C2, degrees, start text, C, end text. What proportion of temperatures are between 12. 9 ∘ C 12.9 ∘ C12, point, 9, degrees, start text, C, end text and 14. 9 ∘ C 14.9 ∘ C14, point, 9, degrees, start text, C, end text? You may round your answer to four decimal places.
Answers
The proportion of temperature is 0.1024.
How to get the z scores?
If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
\(X \sim N(\mu, \sigma)(X is following normal distribution with mean \mu and standard deviation \sigma )\)
then it can be converted to standard normal distribution as
\(Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)\)
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
\(P(Z \leq z) = P(Z < z) )\)
Also, know that if we look for Z = z in z tables, the p value we get is
\(P(Z \leq z) = \rm p \: value\)
Given;
A set of average city temperatures in December are normally distributed with a mean of 16. 3 ∘ C 16.3 ∘ C16, point, 3, degrees, start text, C, end text and a standard deviation of 2 ∘ C 2 ∘ C2, degrees, start text, C, end text.
Now,
Let X the random variable that represent the temperaturs in August, and for this case we know the distribution for X is given by:
X ~ N(21.25,2)
Where μ= 21.25 and σ = 2
We are interested on this probability
P(23.71 <X < 26.17)
P(1.23 <z<2.46) = P(z <2.46) P(<1.23) 0.9931-0.8907= 0.1024
Therefore, the by z-score the answer will be 0.1024.
Learn more about z-score here:
https://brainly.com/question/21262765
#SPJ1
Hannah went shopping for a new phone. The listed price of the phone was $48, but
the price with tax came to $50.40. Find the percent sales tax.
Answers
Answer:
5%
Step-by-step explanation:
50.40 - 48 = 2.4.
The sales total sales tax was $2.40.
2.4 is 5% of the original $48 that was the listed price of the phone.
The same bedroom furniture set costs $1,500 in both Florida and Alabama. The table gives a breakdown of the taxes someone would pay when purchasing the furniture set in either state. Alabama Florida State of Alabama: 4.225% County Tax: 1.375% City Tax: 3.0% State of Florida: 6.5% County Tax: 1% City Tax: 1.625% Which statement is true? A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations.
Answers
Answer:
A: True
B, C and D: False
Step-by-step explanation:
We have a total sales tax for Alabama that is:
\(T_A=4.225+1.375+3=8.6\)
The total sales tax for Florida is:
\(T_F=6.5+1+1.625=9.125\)
The total sales tax is greater in Florida than in Alabama.
A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE
The sales tax difference in this purchase can be calculated as:
\(1500(T_F-T_A)=1500\left(\dfrac{9.125-8.6}{100}\right)=1500\cdot 0.00525=7.875\approx 8\)
B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)
C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)
The amount of sales tax in Alabama is:
\(ST_A=1500\cdot T_A=1500\cdot 0.086=129\)
D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).