The equation of the circle with radius 4.5 and center at (2 , 3) is (x - 2)^2 + (y - 3)^2 = 20.25.
The general form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (2 , 3)
r = 4.5
(x - 2)^2 + (y - 3)^2 = 4.5^2
(x - 2)^2 + (y - 3)^2 = 20.25
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i need help with this problem … it’s says
a room has a rectangular floor.if the length is fifteen feet longer than the width ,find the length and width of the room if the perimeter is 115
Answer:
Length is 26.25 and width is 21.25
Step-by-step explanation:
the length is gonna be the width but plus 15, so W+15, and we know that there's 2 widths and 2 lengths in a perimeter so were gonna start off our algebraic expression like this:
2(15+W)+2W=115
distribute the 2
30+2W+2W=115
combine like terms
30+4W=115
subtract 30 from both sides
4W=85
divide 4 from both sides
W=21.25
now plug in our width value into W+15 to find length
W+15
21.25+15=L
36.25=L
Find the value of each variable and the measure of each labeled angle.
assuming 4x+21=6x-23
then you can get x by doing
4x+21=6x-23
21=2x-23
44=2x
x=22
4x+21= 109
6x-23= 109
(-4)² = -(4)² True Or False
Help Quick Please!
Answer: True
Step-by-step explanation: Because Im A Top G
7b-3(b+1)=2(b − 3)+(2b-6)
Answer: b=8
Step-by-step explanation:
Please hurry
Add using a number line.
−25+45
Drag and drop the word SUM to the correct value on the number line.
Answer: i got it
Step-by-step explanation:
i hope this helped
Determine whether the quadrilateral can always, sometimes, or never be inscribed in a circle. Explain your reasoning.
rectangle
A rectangle as the only parallelogram that can be inscribed in a circle.
Can the quadrilateral always be inscribed in a circle?A rhombus's opposite angles are congruent. If a rhombus has an angle, it has one pair of opposite angles that are and another pair of opposite angles that are. Because opposite angles are not supplementary, this rhombus cannot be encircled.
Because not all quadrilaterals can be inscribed in circles, they are not all cyclic quadrilaterals. If and only if the opposite angles of a quadrilateral are supplementary, it is cyclic.
A rectangle is the only parallelogram that can be inscribed in a circle. The important point is that the radius of the circle is R, because every rectangle can be inscribed in a (unique circle). (I believe.) One of the properties of a rectangle is that the diagonals bisect in the 'center,' which is also the circumscribing circle's center.
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PLEASE HELPP..............................................................
Answer:
a. No
b. Yes
c. Yes
Step-by-step explanation:
Answer:
Step-by-step explanation:
I REALLY NEED HELP! Given the function defined by f(x)=8x-8, find f(6). Simplify.
Answer:
f(6) = 40
Step-by-step explanation:
f(x)=8x-8
f(6) means to evaluate the function at x = 6.
Substitute 6 for x, and evaluate the right side.
f(6) = 8(6) - 8
f(6) = 48 - 8
f(6) = 40
Before it was demolished, the RCA Dome was home to the Indianapolis Colts. The attendance in 2001 was 450,746, and the attendance in 2005 was 457,373 .
a. What is the approximate rate of change in attendance from 2001 to 2005 ?
The approximate rate of change in attendance from 2001 to 2005 is 1657.
Rate of Change of value is defined as the change in value over an interval of time.
Denoted by [tex]rate.of.change=\frac{change.in.value}{time}[/tex]
In the given question
Attendance in the year 2001 = 450746
Attendance in the year 2005=457373
Time = 2005-2001= 4 years .
[tex]rate.of.change=\frac{value.in.2005-value.in.2001}{2005-2001}[/tex]
rate of change = [tex]\frac{457373-450746}{4}[/tex]=[tex]\frac{6627}{4}[/tex]=1656.75≅1657
this means that attendance increases about 1657 per year.
Therefore , the approximate rate of change in attendance from 2001 to 2005 is 1657 .
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What is the pitch when the wavelength is 5 feet? hertz
A) The type of variation between pitch and wavelength is an inverse variation. b) the pitch when the wavelength is 5 feet would be 132 hertz.
What is Inverse Variation?we know that the Inverse Variation is a relationship between two variables in which the product is a constant.
Let x be a pitch of a musical instrument
y be the wavelength
x*y=k
We need to find the value of k for x=220 hertz and y=3 ft
Then x*y=k
220*3=k
k=660
And for x=165 hertz , y=4 ft
x*y=k
165*4=660
k=660
A) Therefore, the type of variation between pitch and wavelength is an inverse variation.
B) the pitch when the wavelength is 5 feet;
x=?
y=5 ft
k=660
x*y=k
Then solve for x
x=k/y
x=660/5
x=132 hertz
Part b) the pitch when the wavelength is 5 feet would be 132 hertz
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The complete question is;
"A musical instrument has a pitch of 220 hertz when the wavelength is 3 feet. When the wavelength is 4 feet, the pitch is 165 hertz. What is the type of variation between pitch and wavelength? What is the pitch when the wavelength is 5 feet? hertz"
If the parent function f(x) = |x| is transformed to g(x) = |x + 5|, what transformation occurs from f(x) to g(x)?
The graph of f(x) is shifted upward to create g(x).
The graph of f(x) is shifted downward to create g(x).
The graph of f(x) is shifted to the right to create g(x).
The graph of f(x) is shifted to the left to create g(x).
The graph of f(x) is shifted 5 units to the left to create g(x).
A parent function is an equation in the simplest form of a family of functions. A family of functions is a collection of functions that represent similar characteristics and/or transformations of its parent function. A parent function can be represented with different degree values such as degrees 1, 2, or 3.
The most basic parent function is called a constant function.
Types of Parent Functions
There are multiple forms of parent functions. Some types of parent functions are:
Constant function: A horizontal line that intersects the y-axis.
Square root function: The inverse function of a quadratic function following the form f(x)= [tex]\sqrt{x}[/tex]
Cube root function: The inverse function of a cubic function in the form f(x)= 3 [tex]\sqrt{x}[/tex]
A parent function is the simplest form that a function can be. Its basic shape is not in any way altered.
For instance, when you see a u-shaped graph that is inverted and vertically stretched, you should still recognize that it is a parabola which has undergone different transformations
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Answer:
The graph of f(x) is shifted 5 units to the left to create g(x).
Step-by-step explanation:
-3 4/9 * 5 2/5 help me please
Answer:
-18.6
Step-by-step explanation:
I simply just did multiplication
I multiplied the whole numbers alone and did the same with the fraction
then you add the two products and get your answer
The scores on the statistics test was normally distributed with a mean of 86 and a standard deviation of 5. Jose scored a 93 on his test. What percentage of the class scored less than he did?
The scores on the statistics test was normally distributed with a mean of 86 and a standard deviation of 5. Jose scored a 93 on his test then 1.4% of the class scored less than he did.
What is Normal Distribution?A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
The scores on the statistics test was normally distributed with a mean of 86, a standard deviation of 5, and Jose scored a 93 on his test.
We need to find the percentage of the class scored less than he did
z=(x-mean)/ S.D
=93-86/5
=7/5
=1.4
Therefore 1.4 percentage of the class scored less than Jose did.
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In a recent year the populations of china was 1.3x10^9According to the census data the population of the us was about 308,745,538 about how many times greater was the population of china than the population of the us step by step pleas
According to the census data, the population of China is more than the population of US by a factor 4.2
How to find how many times greater was the population of China over US populationGiven data
population of China = 1.3x10^9
population of US = 308,745,538
population of china = 1.3x10^9. can be rewritten as = 1,300,000,000
comparing the both figures representing population. we divide the population of China by the population of US
let the number of times the population of china is greater than population of US be x, such that
308,745,538 * x = 1,300,000,000
308,745,538x = 1,300,000,000
x = 1,300,000,000 / 308,745,538
x = 4.2106
x ≅ 4.2
We therefore say that the population of china is more than the population of US by a factor 4.2
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E Your bank account has a balance of -$12. You deposit $60. What is your new balance? (Answer asp pls)
Answer:
48 dollars
Step-by-step explanation:
its $48 dollars
Answer:
-12+60 = 48 Result :$48
Step-by-step explanation:
-12+60 = 48 Result :$48
Write an equation for each vertical translation of y=f(x) .
2/3 unit down.
The equation for the vertical translation of y=f(x).2/3 unit down is y=f(x)-2/3.
Using equations of the form y=f(x), you may be able to modify the graph in various ways. For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.
A point on the graph of y=f(x) has the shape (x,f(x)).
The points on the graph of y=f(x)-2/3 are of the form (x,f(x)-2/3).
So, the graph for y=f(x) -2/3 is the same as the graph for y=f(x) shifted down by 2/3 units.
The new equation is:
y=f(x)-2/3
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10% of a water tank fills every 5 minutes. If you are filling a 40 gallon tank, how many gallons will there be in 30 minutes
explain step by step
By using cross mutliplication, there are 24 gallons in the water tank after 30 minutes.
How to estimate the filling time of a water tank by cross multiplicationAccording to the statement the water tank is full at constant rate, 10 % tank capacity per each 5 minutes. The tank has a capacity of 40 gallons. The gained capacity is determined by the following cross multiplication, where the water capacity is directly proportional to filling time:
x ∝ t
x = (n / 100) · V × (T / t) (1)
Where:
n - Initial capacity percentage of the water tank, in percentage.V - Full capacity of the water tank, in gallons.T - Final time, in minutes.t - Initial time, in minutes.x = [0.1 · (40 gal)] × (30 min / 5 min)
x = 24 gal
There are 24 gallons in the water tank after 30 minutes.
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Evaluate each expression 24 divid 6 +2^3•4
Answer:
36
Step-by-step explanation:
= 24/6+2^3*4
= 24/6+8*4
= 4+8*4
= 4+32
= 36
Zoe struck out during 10% of her at bats last season. Design and conduct a simulation to estimate the probability that she will strike out at her next at bat this season.
The likelihood that Zoe would then strike out in her further at bat this season is calculated.
How is pie chart constructed?The various findings or components in a pie chart are depicted by the sectors of a circle, and the entire circle symbolizes the total of the value of each of the components. Obviously, the overall angle of 360° at the central point of the circle is divided by the component values.
Now, for the stated question; It is mentioned that-
Step 1: Last season, Zoe struck out in 10% of her at-bats.
Thus, the probability that the Zoe struck out in her at-bats is 10%.
Then, the probability that the Zoe does not struck out in her at-bats is 90%.
Step 2: The simulation will have 40 trials.
Step 3: We can employ a spinner split into two sectors, one that included 10% of the spinner's area while the other 90%. Determine the central angle of the each sector.
Zoe got thrown out =10% of 360° = 36° Sector yellow
Zoe does not strike out (90 percent of 360° = 324°).
Consider the blue sector in the graph.
Step 4: A trial consists of one spin of the spinner and one strike on the bat by Zoe.
A successful trial means Zoe did not strike out, while a failed trial implies Zoe did strike out. The simulation will include 40 trials.
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Write an inequality for the following statement.
2 is less than or equal to y
Answer:
2 ≤ y
Step-by-step explanation:
2 ≤ y
find the perimeter of the new similar triangle to the triangle below with a ratio of 3:5, old to new triangle
A. 24.17
B. 8.7
C. 14.5
D. 24
E. 9
Answer:
A. 24.17.
Step-by-step explanation:
Perimeter of given triangle
= 4 + 4.5 + 6
= 14.5.
3:5 = 14.5 : P where P is perimeter of new triangle
3/5 = 14.5/P
3P = 5*14.5
P = 14.5 * 5 / 3
= 24,166667
= 24.17.
Consider the expression 9x + 2
9x is the ___ term
A. constant
B.Variable
Answer:
B
Step-by-step explanation:
9x is the variable in the question
Is the fraction 1/3 equivalent to a terminating decimal or number that does not terminate
The fraction 1/3 is not equivalent to a terminating decimal
What is a terminating decimal?A
A terminating decimal can be defined as a decimal expressed in a finite number of figures.
It is also said to be a decimal having an end point.
Example;
1/ 2 is a terminating decimal having its value as 0. 5
Given the fraction;
1/ 3, the decimal value = 0. 333333333
It is not a terminating decimal as it has an indefinite decimal value.
Thus, the fraction 1/3 is not equivalent to a terminating decimal
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Help please, it’s maths homework and I’m very confused at the moment
Answer:
show working
Step-by-step explanation:
you know the area of a rectangle or square is length x width, we do the same here.
so we have a length of (x+5) and because its a square we do (x+5)(x+5) which is
[tex] {x}^{2} + 10x + 25[/tex]
and we know the area of the square is 30 so we make the expression above equal to 30 and take 25 away from both sides to get the wanted equation
Questions attached in photo (geometry!! please help me!)
The value of both x and y are 6 degrees in the given figure of arrangement.
What is angle bisector ?
angle bisector is the line which divides the given angle into two equal parts.
a) Here, the line RQ is the angle bisector of angle ∠WRV that is RQ line divides the angle ∠WRV into two equal parts and it is given that :
angle ∠WRQ is 48 degrees
and, angle ∠QRV is 7y+6
Therefore, ∠WRQ = ∠QRV
7y+6 = 48
7y = 48-6
7y = 42
y = 6 degrees
b) It is given that CR is perpendicular to PR that is angle ∠CRP will make 90 degrees and it is given as :
∠CRP = 13x + 12 degrees
90 = 13x + 12
13x = 78
x = 6 degrees
Therefore, the value of both x and y are 6 degrees.
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HELP ASP SHOW UR WORK YOULL GET BRAINILEST I don’t really know if u do show work on this question but Uhm
Answer:
multiply 4 times x and 3
Step-by-step explanation:
this is because the first step needed to solve is to expand it into 4x+12=12, so that u can solve it from here:
4x+12 =12
4x=12-12
4x=0
x=0/4
x=0
hope this helps :)
Answer: c. subtract three from both sides of the equation
Step-by-step explanation: you want to get the variable by itself. To do this reverse the subtraction or addition. In your case change the addition to subtraction.
The number of cakes baked at a restaurant each day for 12 days is shown below. What is the
percentile of 7 cakes?
2, 4, 4, 5, 5, 6, 6, 7, 8, 10, 12, 15
Using it's concept, it is found that the percentile of 7 cakes is the 67th percentile.
What is the percentile of a measure?When a measure is in the xth percentile of a data-set, it is greater than(or equal) x% of the measures and lesser than (100 - x)%.
In this problem, we have that:
There are 12 measures in the data-set.7 is at the position 8, that is, it is the 8th largest element of the data-set.Hence, the percentile of the measure 8 is found as follows:
8/12 = 67th (rounded).
The percentile of 7 cakes is the 67th percentile.
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(7x+6) degrees (5x-18) degrees
The value of x is equal to 16.
What is the variable behind a system formed by two supplementary angles
Let A and B be angles supplementary to each other, two angles are supplementary when the sum of its measures is equal to 180°. Mathematically speaking, the geometric system is represented by the following formula:
(7 · x + 6) + (5 · x - 18) = 180
12 · x - 12 = 180
12 · x = 192
x = 16
The solution to this equation is 16.
RemarkThe statement is incomplete, correct form is shown below:
Let be A and B two angles that are supplementary to each other. The measures are (7 · x + 6)° and (5 · x - 18)°, respectively. Find the value of x.
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the floor of a doghouse is 4 1/2 feet long and 6 3/3 feet wide. What is the area of the doghouse in square feet?
The area of the doghouse in square feet is calculated as 9 (13) ft2.
The formula to find the area of the dog house is 9(1/3) ft2
Area of the dog house = Length of the dog house width of the dog house
Area = (72 ft ) (83 ft )
Area = 7.82.3 ft*ft
Area = (566) ft2
Hence, the area becomes Area = 9 (13) ft2
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If you do all of them you will get 50 points
Answer:
a. -10
b. -2
c. 10
d. 2
e. -2
f. 2
Answer:
a. = -10 b.=-2 c.=-2 d.=+2 e.=+2 f.=+10
