The equation of a circle is given by:
[tex]\lparen x-h)\placeholder{⬚}^2+\left(y-k\right)^2=r^2[/tex]where (h,k) is the center and r is the radius.
In this case we know that the center of the circle is (-4,3). To find the radius we just need to remember that the radius is half the diameter, hence:
[tex]r=\frac{9}{2}[/tex]Plugging the values for the center and the radius we have that:
[tex]\begin{gathered} \lparen x-\left(-4\right))\placeholder{⬚}^2+\left(y-3\right)^2=\lparen\frac{9}{2})^2 \\ \lparen x+4)\placeholder{⬚}^2+\left(y-3\right)^2=\frac{81}{4} \end{gathered}[/tex]Therefore, the equation of the circle is:
[tex]\operatorname{\lparen}x+4)\placeholder{⬚}^2+\left(y-3\right)^2=\frac{81}{4}[/tex]solve for t
275,000 = 300 1-(1 + .038/12 ) ^(-12t)/(.038/12)
In linear equation , 2,932.25 * ( 1.0316)¹²t = (1)t is value of t .
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an uncertain variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.275000 = 3001 - ( 1 + 0.38/12)⁻¹²t/0.038/12
275000 = 3001 - ( 1 + 0.38/12)⁻¹²t/0.0025
275000 * 0.0025 = 3001 - ( 1 + 0.38/12)⁻¹²t
68.75 = 3001 - ( 1 + 0.38/12)⁻¹²t
3001 - 68.75 = ( 1 + 0.38/12)⁻¹²t
2,932.25 = ( 1 + 0.0316)⁻¹²t
2,932.25 = ( 1.0316)⁻¹²t
2,932.25 = 1/ ( 1.0316)¹²t
2,932.25 * ( 1.0316)¹²t = (1)t
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A function is modeled by the equation f(x) = 2x + 5.
Which function models a transformation of f (x + 3)?
f(x + 3) = 2x+8
f (x + 3) = 2x + 11
f(x + 3) = 5x + 8
f (x + 3) = 6x + 15
A
B
C
D
"y is a function of x." The input value, or independent variable, is represented by the letter x. The dependent variable or output value is denoted by the letter y, or f(x).
f(x) = 2x + 5.
f(x+3) = 2(x+3) + 5.
f(x+3) = 2x + 11.
What is meant by function ?a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The dependent variable or output value is denoted by the letter y, or f(x).To learn more about : function
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100!/12^50
Solve! Thanks.
After solving : 100!/12^50, we get 1.025513e+104
Here, 100 factorial or 100!
Describe Factorial.The result of multiplying an integer by each natural number below it is the factorial of that number.
A factorial can be symbolically denoted by the sign "!"
The first n natural integers are added together to form "n factorial," which is represented by the number n.
100! = 100 × 99 × 98 × .... × 3 × 2 × 1 = 9.332621544 E+157.
This product is too big to calculate manually and hence a calculator is used.
Now, 9.332621544 E+157 / 12 ^ 50 = 1.025513e+104
Hence, after solving 100!/12^50, we get 1.025513e+104
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The system of equations is solved using the linear combination method.
StartLayout 1st row 1st column one-half x + 4 y = 8 right-arrow 2nd column negative 2 (one-half x + 4 y = 8) right-arrow 3rd column negative x minus 8 y = negative 16 2nd row 1st column 3 x + 24 y = 12 right-arrow 2nd column one-third (3 x + 24 y = 12) right arrow x + 8 y = 4 with Bar Underscript 3rd row 3rd column 0 = negative 12 EndLayout
What does 0 = −12 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
Answer: The answer is A) There are no solutions to the system because the equations represent parallel lines.
Step-by-step explanation: got it on edge 2022
Answer:
There are no solutions to the system because the equations represent parallel lines
Step-by-step explanation:
The cost of 3 pounds of grapes is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x?
PLEASE I NEED HELP ME PLEASE
I WILL GIVE 40 POINTS FOR THE NEXT QUESTION
The value of the Constant of Proportionality will be $2.19.
In the given question, it is stated that 3 pounds of grapes cost $6.57. We have to calculate and find out the Constant of Proportionality.
The constant of Proportionality is a constant term in the equation that does not vary and has a fixed value that represents a certain quantity in a given situation.
Here, we know that 3pounds cost $6.57. Taking:
y = Total Cost
x = Number of Pounds
c = Constant of Proportionality
We get the equation to represent the Total cost with respect to the number of pounds where c will be the proportionality constant which defines the unit price of a pound. The equation will be:
=> y = c*x
=> 6.57 = 3c
=> c = 2.19
Hence, we get the Constant of Proportionality $2.19
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or Josh made 7 pies. There were 7 slices in each strawberry pie and 9 slices in each blackberry pie. If Josh made 57 slices of pie in total, how many of each type of pie did he make?
Please answer me this as soon as possible i need it urgently.
Note: This is grade 6 maths.
Answer:
1a. 4/6
1b. 6/9
1c. 8/12
2. [tex] \frac{6}{12} [/tex]
3. 8/16
Step-by-step explanation:
1a. Multiply top and bottom value by 2
1b.multiply top and bottom value by 3
1c. multiply top and bottom value by 4
2.To get your denominator to twelve you multiply it by 2. and if you multiply by two at the bottom you also multiply by two on top.
3.to get your denominator to 16 multiply the denominator by 8. If you multiply the bottom you should multiply the top with the same value as well.
Graph the dilated image of triangle XYZ using a scale factor of 1.5 and (0,0) as the center of dilation
Please find attached the dilated image of triangle ΔXYZ obtained by using a scale factor of 1.5, with the center of dilation at (0, 0), giving the coordinates of the vertices at the points X'(-6, 3), Y'(9, 0) and Z'(-3, -6).
What is a dilation transformation?A dilation transformation is one in which the lengths of a figure are scaled up or down.
From a similar question online, we have:
The vertices of the triangle ΔXYZ are: X(-4, 2), Y(6, 0), and Z(-2, -4)
The given center of dilation is (0, 0)
The scale factor of the dilation is 1.5
The coordinates of the points on the image following a dilation of the point (x, y) by a scale factor of k about the origin is given by the formula:
(x, y) [tex]\underrightarrow{R_k}[/tex] (k·x, k·y)
Therefore, the coordinates of the vertices of the image of the triangle ΔXYZ following a dilation by a scale factor of 1.5 are:
X(-4, 2) [tex]\underrightarrow{R_k}[/tex] X'(1.5×(-4), 1.5×2) = X'(-6, 3)
Y(6, 0) [tex]\underrightarrow{R_k}[/tex] Y'(1.5×6, 1.5×0) = Y'(9, 0)
Z(-2, -4) [tex]\underrightarrow{R_k}[/tex] (1.5×(-2), 1.5×(-4)) = (-3, -6)
The vertices of the dilated image of ΔXYZ, which is ΔX'Y'Z' are; X'(-6, 3), Y'(9, 0), Z'(-3, -6)
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a florist shop gets an average of 18 phone orders in a 2 hour time period. in order to find the probability that the florist shop will get at most 4 phone orders in a 30 minute period using the poisson distribution, what is the average number of phone orders per 30 minutes?
If the probability that the florist shop will get at most 4 phone orders in a 30 minute period using the Poisson distribution, the average number of phone orders per 30 minutes is 5.
How to find the average number of phone order?Given data:
Average 18 phone order in 2 hour
4 phone orders in a 30 minute
Let x represent the average number of phone orders in 30 minutes.
Hence
then x30=18/120
Solving for x
x =18(30)/120
x = 540 / 120
x = 4.5
x = 5 (Approximately)
Therefore we can conclude that 5 is the average number of phone that was order.
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Fill in the blanks below.Find the slope of the line passing through the points (-8, 4) and (-8. - 9).slope: ___
Solution:
The slope of a line that passes through two given points A and B, is expressed as
[tex]\begin{gathered} slope=\frac{y_2-y_1}{x_2-x_1} \\ where \\ (x_1,y_1)\text{ and \lparen x}_2,y_2)\text{ are the coordinates of the points through} \\ which\text{ the line passes.} \end{gathered}[/tex]Given that the line passes through the points (-8, 4) and (-8, -9), this implies that
[tex]\begin{gathered} x_1=-8 \\ y_1=4 \\ x_2=-8 \\ y_2=-9 \end{gathered}[/tex]By substituting these values into the slope formula, we have
[tex]\begin{gathered} slope\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ =\frac{-9-4}{-8-(-8)} \\ =\frac{-9-4}{-8+8} \\ =\frac{-13}{0} \\ \Rightarrow slope=\infty \end{gathered}[/tex]Hence, the slope of the line that passes through the points (-8, 4) and (-8. - 9) is evaluated to be
at infinity.
(Worksheet typo.. Use this question) On the same map, the dining hall is located at (-12, 6) and the stables are located at (20, 6). How far apart is the dining hall from the stables? (Just type in the number)
If the dining hall is located at (-12,6) and the stables are located at (20,6), then the dining hall is 32 units apart from the stables
The location of the dining hall = (-12,6)
The location of the stables = (20,6)
The distance between the two points d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where d is the distance between the two points
[tex](x_1,y_1)[/tex] is the coordinates of the first point
[tex](x_2,y_2)[/tex] is the coordinates of the second point
Substitute the values in the equation
d = [tex]\sqrt{20-(12))^2+(6-6)^2}[/tex]
= [tex]\sqrt{1024}[/tex]
= 32 units
Hence, if the dining hall is located at (-12,6) and the stables are located at (20,6), then the dining hall is 32 units apart from the stables
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A store has two types of animal feed available. Type A contains 3 pounds of oats and 2 pounds of corn per bag. Type B contains 1 poun
of corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least 16 pounds of oats and at least 52
only has 15 bags of type A feed and 13 bags of type B feed in stock. Type A costs $4 per bag, and type B costs $1 per bag. How many
the farmer buy to minimize his cost?
Note that the ALEKS graphing calculator can be used to make computations easier.
OO EXPLANATION
Answer : type A feed : 1 bag(s)
Type B feed : 13 bag(s)
Convert to slope-intercept form to graph:
2x + 4y = 8
By converting to slope-intercept form to graph and solving this equation we are get -x/2 +2
What is slope intercept ?
The slope indicates the steepness of a line and the intercept indicates to the location where it intersects are in an axis. The slope and that the intercept define to the linear relationship between the two variables, and can be the used to the estimate an average rate of change.
The slope, m, represents the steepness of a line. The slope of the line is also the termed as gradient, sometimes .and the y-intercept, b, of a line, represents the y-coordinate of the point to where the graph of the line intersects the y-axis.
Sol-
Re write 2x+4y=8 in slope intercept form we are get-
y= -x/2+2
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(3x+15)° 2x° what measurement represents the measurements of the two angles?
A.60° and 120°
B. 66° and 114°
C. 33° and 147°
D. 56° and 124
What other pair of angles or sides do you know are congruent?
1. QS = SQ
2. PS = RQ
3. angle QSP = angle SQR
4. angle P = angle R
(Look at attached files)
Based on the reflexive property of congruency, the other pair of sides that we know are congruent is: 1. QS = SQ.
What is the Reflexive Property of Congruency?The reflexive property of congruency states that a line will always be a congruent to itself. This means it will always be equal in measure to itself.
In the diagram given showing triangle QSP and triangle SQR, we are given that sides PQ and RS are congruent so also are angles PQS and RSQ.
However, we can also see that both triangles share a common side, side QS. Therefore, side QS is congruent to side SQ by the reflexive property of congruency.
This implies that another pair of sides would be: 1. QS = SQ.
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Translate this sentence into an equation.
78 is the product of Helena's savings and 6.
Use the variable h to represent Helena's savings.
Answer:
786
Step-by-step explanation:
Answer:
Helena',s savings... h=78+6
Rafael is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 16 feet and its width is 13 feet. Suppose each bag of fertilizer covers 26 square feet. How many bags will he need to cover the garden?
Rafael is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 16 feet and its width is 13 feet. Suppose each bag of fertilizer covers 26 square feet. How many bags will he need to cover the garden?
step 1
Find the area of the garden
Remember that the area of a rectangle is equal to
A=L*W
we have
L=16 ft
W=13 ft
substitute
A=16*13
A=208 ft^2
step 2
we know that
each bag of fertilizer covers 26 square feet
so
Applying proportion
1/26=x/208
solve for x
x ----> number of bags
x=(1/26)*208
x=8 bags
therefore
the answer is 8 bagsreally need helppp plsssss asap
Answer:
Step-by-step explanation:
Could i have help with this question please?
Int the place of F(x) PLUG IN 4X+6 AND THEN SIMPLIFY THE EXPRESSION.BELOW IS THE RESPONSE:
[tex]g(x) = \frac{1}{2} \times (4x + 6) \\ g(x) = \frac{1}{2} \times 2(2x + 3) \\ g(x) = 2x + 3[/tex]
g(x)=2x+3
IT MEANS IN THE BLANKS YOU WILL INSERT 2 IN THE FIRST BLANK AND IN THE SECOND BLANK INSERT 3
HOPE THIS HELPS
Merlyn’s weight went down from 125 pounds to 110 pounds after dieting. What was her percent weight loss?
Subject: geometry btopic: Chords and arcs a. 7.1 inb. 7.8 inc. 6.7 ind. 8.3 in
Chords and arcs
YM is the chord of the circle and it has a length of 12 in
The perpendicular VL bisects the chord in V.
To prove the above statement, please note that triangles VYL and VLM are similar because they have one side in common and the second side of the same length (the radius of the circle).
Let's work with any of those triangles, for example, VLY. It's a right triangle in V. The hypotenuse of the triangle is the radius, one leg is the given distance of 5 in and the other leg is half the length of the chord (6 in).
Thus, applying Pythagora's Theorem:
[tex]r^2=5^2+6^2=25+36=61[/tex]Thus, the radius is
[tex]r=\sqrt{61}[/tex]r=7.8 in
Option b.
Jessica wants to have a square garden plot in her backyard. She has enough compost to cover an area of 116 ft². Use the
formula s = A to find the length of each side of her garden. Round your answer to the nearest tenth of a foot.
The length of the each side of the square garden of Jessica is found as 10.77 ft.
What is termed as the square?A quadrilateral with 4 equal sides is known as a square. There are numerous objects in our environment that are square in shape. Each square shape is distinguished by it's own equal sides as well as interior angles of 90°.For the given question,
Jessica is making a square garden in her backyard.
The compost bought is to cover the area of the 116 ft².
The formula for the area is given as;
A = s² , where s is the length of the side of the square.
Put the values.
116 = s²
Taking square root both side.
s = √116
s = 10.77
Thus, the length of the each side of the square garden of Jessica is found as 10.77 ft.
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Find the surface area and volume of each solid. Round each measure to the nearest tenth, if necessary a cone with a 5 yd radius, and a 13yd slant
The surface and of the cone is
The volume of the cone is
What is a cone?
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.
We are given that radius of the cone as 5yd and slant height as 13yd
We first find the height using pythagoras theorem
Let height be h
by Pythagoras theorem we have
[tex]r^{2}+h^{2}=13^2\\ 5^2+h^2=169\\ h^2=144\\h=12[/tex]
Height of the cone is 12yds
Now volume of the cone is given by
[tex]V=[/tex]π[tex]r^{2}\frac{h}{3}[/tex]
Substituting the values in the equation we get
[tex]V=100[/tex]π yd^3
Now we find the surface area
The formula for surface area is
[tex]A=r(r+\sqrt{r^2+h^2} )[/tex]π
Substituting the values in the equation we get
[tex]A=90[/tex]π yd^2
Hence the surface area of the cone is 90π yd^2
And the volume of the cone is 100π yd^3
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(A) Reflected, then translated
(B) Rotated, then translated
(C) Rotated, then reflected
Answer:
I am 99% certain that the answer is c. because it has defiantly been reflected. and if you look at the points in order for them to be moved like that it would have had to have been rotated first.
answer is chope this helped!
help please i need it
Answer: 116 degrees
Step-by-step explanation: add JKM and MKL together to get JKL
The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit hours taken. The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h.
How many credit hours will a student have to take for the two tuition costs to be equal? Round the answer to the nearest tenth of an hour.
250 + 200h = 300 + 180h
250 + 200h = 300 + 180h
− 180h − 180h
250 + 20h = 300
The credit hours that a student has to take for the two tuition costs to be equal is A. 250 + 200h = 300 + 180h
How to illustrate the information?From the information, the tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h
h = the number of credit hours taken.
The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h.
Therefore, the credit hours that a student have to take for the two tuition costs to be equal will be:
250 + 200h = 300 + 180h
200h - 180h = 300 - 250
20h = 250
h = 250/20
h = 12.5 hours.
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x = 6 % 2
if x == 1:
print("ONE")
else:
print("TWO")
Answer:ok
Step-by-step explanation: good job
The output of the program code block given will be two.
What is Python Programming language?Python is a high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation.
Given is the following code structure -
x = 6 % 2
if x == 1:
print("ONE")
else:
print("TWO")
If we dry run the program, we can write -
x = 6 % 2
x = 0
Now, x is not equal to 1, therefore, it will print two.
Therefore, the output of the program code block given above will be two.
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Kelyse's preschool tuition is $180 per week. She
receives a small discount for honor roll, $50 per
month. Her grandparents help out and pays
20% of her tuition. How much do her
grandparents pay?
$134 is the amount paid by grandparents every month.
What is the percentage?Percentage as the name suggests is a ratio of some particles to 100. In order to get the value of the required amount one has to divide the value by 100.
It is given that the tuition fee is $180 per week = $720 per month
It is also provided that she receives an honour rule of $50 per month.
So, her fees per month is $720- $50= $670.
It is given that 20% of the fees is paid by grandparents.
So, percentage share = 20% of $670 =20/100 x $ 670 = $134
So, $134 is paid by the grandparents every month.
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rewrite 1/4 book 1/3hour as a unit rate
Based on the mathematical statement, the unit rate is 3/4 books per hour
How to rewrite the expression as a unit rate?The mathematical statement is given as
"rewrite 1/4 book 1/3hour as a unit rate"
The above means that
Book = 1/4
Time = 1/3 hour
The unit rate is then calculated as
Unit rate = Book/Time
Substitute the known values in the above equation
So, we have the following equation
Unit rate = (1/4)/(1/3)
Evaluate
Unit rate = 3/4
Hence, the solution is 3/4 books per hour
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Please help
1111111ajahwbiskakapqlwjbsmskskwnwjwjs
Answer: (y-(-43))=-7(x-6) and y=-7x-1
Step-by-step explanation:
1) Pick two points. I'll choose (3,-22) and (6,-43)
2) Next set it up in a rise-over-run function
-43 - (-22)
-------------
6 - 3
3) Solve
-21/3
-7
The slope is -7
4) Find the starting value.
You can do this by substituting two points in a slope-intercept equation(y=mx+b)
y=-7x+b
-22=-7(3)+b
-22= -21+b
-1=b
The starting value is -1.
5) Slope intercept form
We can put all the info together to find that the slope-intercept is:
y=-7x-1
6) Point-slope form:
Point slope form equation is this: y-y1=m(x-x1)
y1 and x1 are one of the points while keeping x and y as variables
So our final equation is (y-(-43))=-7(x-6)