The equation in standard form for the circle with center (0, 9) passing through (15/2, 5) is x²+y²-18y-54.25=0.
The given coordinate points are (0, 9) and (15/2, 5).
The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²
Here, (0-7.5)²+(9-5)²=r²
56.25+16=r²
r=8.5
Now, the equation is (x-0)²+(y-9)²=8.5²
x²+y²-18y+18=72.25
x²+y²-18y+18-72.25=0
x²+y²-18y-54.25=0
Therefore, the equation in standard form for the circle with center (0, 9) passing through (15/2, 5) is x²+y²-18y-54.25=0.
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Austin, Texas has a statue of Stevie Ray Vaughn that is 12 feet tall. It cast an 8 ft shadow. Doug stops to admire the statue. Doug's shadow is 3.5 ft. How tall is Doug?
Answer:
5.25 feet tall
Step-by-step explanation:
Doug's height / Doug's shadow = Statue's height / Statue's shadow
x / 3.5 = 12 / 8
Cross-multiplying:
8x = 3.5 * 12
8x = 42
Dividing both sides by 8:
x = 42 / 8
x ≈ 5.25
Factor 6a² - 12a - 5a + 10 by grouping.
O (6a - 5)(a + 2)
(6a - 5)(a - 2)
(6a + 5)(a + 2)
-
O (6a + 5)(a − 2)
Answer: Therefore, the correct factorization by grouping is (a - 2)(6a - 5).
Step-by-step explanation:
To factor 6a² - 12a - 5a + 10 by grouping, we can group the terms in pairs:
6a² - 12a - 5a + 10
Taking common factors from the first two terms and the last two terms separately:
6a(a - 2) - 5(a - 2)
Now, we can see that (a - 2) is common in both terms, so we can factor it out:
(a - 2)(6a - 5)
Hello!
6a² - 12a - 5a + 10
= 6a² - 17a + 10
= 6a² - 5a - 12a + 10
= (6a² - 5a) + (-12a + 10)
= a(6a - 5) - 2(6a - 5)
= (6a - 5)(a - 2)
Last year, 5 friends went to the beach. They each drank the same number of canned drinks and had 2 drinks left over. 2 friends could not come to the beach this year. The others brought the same number of drinks as last year and each drank equally as much as the year prior, this time ending with 8 drinks left over. How many beverages did each friend drink?
Each friend drank a total of 3 beverages during their visit to the beach.
Numerical calculationTo find the number of beverages each friend drank, let's assume the number of drinks they brought and consumed this year is represented by 'x'.
From the given information, we can set up the following equations:
Last year:
5x + 2 = Total number of drinks (equation 1)
This year:
3x + 8 = Total number of drinks (equation 2)
Since the total number of drinks should be the same in both years, we can set equation 1 equal to equation 2:
5x + 2 = 3x + 8
Now, let's solve this equation to find the value of 'x':
5x - 3x = 8 - 2
2x = 6
x = 3
So, each friend drank 3 canned drinks both last year and this year.
Therefore, each friend drank 3 beverages.
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HELP WTH IS THIS PLSSS HAVE FIND K
[tex]-16=k\cdot2^2\\4k=-16\\k=-4[/tex]
Apply the square root principle to solve (x – 2)^2 + 20 = 0.
Question 1 options:
A)
x = 2 + 2i , x = 2 – 2i
B)
x = –2 + 2i , x = –2 – 2i
C)
x = 2 + 2 , x = 2 – 2
D)
x = –2 + 2, x = –2 – 2
Answer:
швлалалаось.чллслслслсб вщлалс
What is the answer pls
MARKING AS BRAINLIST PLEASE HELP!!
The probability of either events A or B occurring is determined as 0.89.
What is the probability of either even occurring?The probability of either events occurring is calculated by applying the following formula as shown below;
P (A or B ) = P ( A ) + P ( B )
The probability of A is calculated as follows;
P ( A ) = A / total outcome
P ( A ) = ( 20 ) / ( 20 + 12 + 4 )
P ( A ) = ( 20 ) / ( 36 )
P ( A ) = 5/9
The probability of B is calculated as follows;
P ( B ) = B / total outcome
P ( B ) = 12 / 36
P ( B ) = 1/3
The probability of either A or B is calculated as follows;
P (A or B) = 5/9 + 1/3
P (A or B) = 8/9 = 0.89
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Use mid segment formula to find
a) x=
b) EF=
c) BC=
A
E
B
لی
3
D
4x+6
9x+4
F
Answer:
x = 5EF = 26BC = 49Step-by-step explanation:
Given midsegment EF = (4x+6) and base segment BC = (9x+4) of a trapezoid with base AD = 3, you want the value of x and the lengths of the two segments EF and BC.
MidsegmentThe midsegment parallel to the base segment is the average of the lengths of the parallel bases.
4x +6 = 1/2((9x +4) +3))
8x +12 = 9x +7 . . . . . . . . . multiply by 2 and simplify
5 = x . . . . . . . . . . . . subtract 8x+7
SegmentsUsing this value of x, we find the lengths of the segments to be ...
EF = 4·5 +6 = 26
BC = 9·5 +4 = 49
Check(BC +AD)/2 = EF
(49 +3)/2 = 52/2 = 26 . . . . as required
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Estudios de caso con características cualitativas y cuantitativas
De acuerdo con la información, el tipo de estudio de caso descrito es estudios de caso mixtos debido a que son aquellos que combinan características cualitativas y cuantitativas.
¿Qué son los estudios de caso mixtos?Los estudios de caso mixtos se caracterizan por combinar características cualitativas y cuantitativas en la recopilación y análisis de datos. Estos estudios buscan obtener una comprensión más completa y profunda del fenómeno estudiado.
Los datos cualitativos se obtienen a través de entrevistas, observaciones o análisis de contenido, brindando una comprensión rica de los contextos y perspectivas. Los datos cuantitativos se recopilan mediante encuestas, cuestionarios o análisis estadísticos, permitiendo obtener información objetiva y generalizable.ENGLISH VERSION
According to the information, the type of case study described is mixed case studies because they are those that combine qualitative and quantitative characteristics.
The mixed case studies are characterized by combining qualitative and quantitative characteristics in the compilation and analysis of data. These studies seek to obtain a more complete and profound understanding of the phenomenon studied.
The qualitative data are obtained through interviews, observations or analysis of content, bringing an understanding of contexts and perspectives.The quantitative data are compiled through surveys, questionnaires or statistical analysis, allowing to obtain objectivable and generalizable information.Learn more about case study in: https://brainly.com/question/24259426
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Help! The white shark can grow to a length of 21 feet. This is 35% of the maximum length of the sperm whale. Find the maximum length of the sperm whale. If necessary, round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Calculate the 2022 Horizontal Analysis variance of “Sales Revenue” in %. Fill in the equations using the financial statements provided (no symbols or commas) and the % should be in a XX.XX format:
Step 1: Blank 1; – Blank 2; = Blank 3;
Step 2: Blank 4; ÷ Blank 5; = Blank 6 %
Blank 1
Add your answer
Blank 2
Add your answer
Blank 3
Add your answer
Blank 4
Add your answer
Blank 5
Add your answer
Blank 6
The horizontal variance of sales between 2021 and 2022 is 340
How did we arrive at this?
By removing the sales figure of 2021 from that of 2022, we are able to arrive at the above figure.
That is Amount of 2022 – Amount of 2021 = Absolute Change.
Figure for 2022 = 3800
Less
Figure for 2021 = 3,460
Variance 340
Excel formula : = Cell no. of amount of 2022 - Cell no of amount of 2021
Note that a negative amount means decrease and positive amount means increase.
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if the percentage difference was 34.846% and the number of voters were 3066649 in 2016, calculate the number of registered voters (A) in 2011
Answer:
Step-by-step explanation:
expanded form of 73.09
Answer: 70 + 3 + [tex]\frac{9}{100}[/tex]
Step-by-step explanation:
Firstly, what is expanded form? Expanded form is a sum of a number's digit place values.
For example, the expanded form of 814 is 800 + 10 + 4.
To find the expanded form of 73.09, we will do the same as the example provided above. However, we have a decimal. This means we will use a fraction. This 9 is in the hundredth place, so we will use the fraction [tex]\frac{9}{100}[/tex].
73.09 = 70 + 3 + [tex]\frac{9}{100}[/tex]
Plot the image of Figure ABCD after a dilation with scale factor. One of the sides
has been plotted for you.
Click twice to plot a segment.
Click a segment to delete it.
B
B'-
The image of the figure after dilation is attached and the new dimensions are
A'B' = C'D' = 6 units
A'D' = B'C' = 2 units
How to find the new dimensionsTo find the new dimensions after dilation, we need to know the dimension of the preimage.
Examining the attached figure, assuming each do represent 1 unit we have that
AB = CD = 18 units
AD = BC 6 units
Using the scale factor of 1/3 results to
A'B' = C'D' = 18 * 1/3 = 6 units
A'D' = B'C' = 6 * 1/3 = 2 units
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Use the calculator to graph the quadratic and determine solution to the equation x2+x-6=0
A graph of this quadratic equation x² + x - 6 = 0 is shown below.
The solutions to the equation x² + x - 6 = 0 are (-3, 0) and (2, 0).
What is the graph of a quadratic function?In Mathematics, the graph of a quadratic function always form a parabolic curve or arc because it is u-shaped. Based on the graph of this quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive one (1) and the value of "a" is greater than zero (0).
Since the leading coefficient (value of a) in the given quadratic function x² + x - 6 = 0 is positive one (1), we can logically deduce that the parabola would open upward and the solution would be on the x-intercepts (-3, 0) and (2, 0). Also, the value of the quadratic function f(x) would be minimum at -6.25.
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I already tried 21 and that was incorrect
Answer:
23
Step-by-step explanation:
An integer is a whole number that can be positive, negative, or zero, without any fractional or decimal parts.
The given expressions for three consecutive integers are:
x(x + 1)(x + 2)Give that twice the first number is 20 more than the second:
[tex]2x = (x + 1) + 20[/tex]
Solve this equation for x:
[tex]\begin{aligned}2x &= (x + 1) + 20\\2x&=x+1+20\\2x&=x+21\\2x-x&=x+21-x\\x&=21\end{aligned}[/tex]
The expression for the largest integer is (x + 2).
Therefore, to find the largest number, substitute the found value of x into this expression:
[tex]\begin{aligned}\sf Largest\;number&=(x+2)\\&=21+2\\&=23\end{aligned}[/tex]
Therefore, the largest number is 23.
factored form of 12a-b
The factored form of the expression 12a - b is simply 12a - b.
We have,
The concept used in the expression 12a - b is that of combining like terms. When we have an algebraic expression like this, the goal is typically to simplify or rewrite it in a more concise form.
In this case, 12a and -b are two terms in the expression.
The concept of combining like terms allows us to combine these terms together if they have the same variable(s) raised to the same power(s).
The expression 12a - b cannot be factored further using simple algebraic techniques.
Factoring typically involves breaking down an expression into its constituent factors, such as common factors or binomial factors.
However, in the case of 12a - b,
There are no common factors or binomial factors that can be extracted.
Therefore,
The factored form of the expression 12a - b is simply 12a - b.
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2. The area of a figure is 207 m². If the
dimensions are multiplied by what will
be the area of the new figure?
Need help on finding g .
The numeric values for this problem are given as follows:
g(-1) = -2.g(2) = 0.g(3) = 0.5.How to obtain the numeric values of the function?The function in this problem is a piecewise function, meaning that it has different definitions based on the input x of the function.
For x between -2 and 2, the function is defined as follows:
g(x) = -(x - 1)² + 2.
Hence the numeric value at x = -1 is given as follows:
g(-1) = -(-1 - 1)² + 2 = -4 + 2 = -2.
For x at x = 2 and greater, the function is given as follows:
g(x) = 0.5x - 1.
Hence the numeric values at x = 2 and x = 3 are given as follows:
g(2) = 0.5(2) - 1 = 0.g(3) = 0.5(3) - 1 = 0.5.A similar problem, also featuring numeric values of a function, is given at brainly.com/question/28367050
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Lakes Corporation has four departments. The double bar graph below shows how many male and female employees are in each department. Use this graph to
answer the questions.
D
Number of employees
300
250
200
150-
100
50-
0
Advertising Marketing Production Accounting
Department
(a) Estimate the number of females in Marketing.
Males
Females
The estimate for the number of females in marketing is given as follows:
225 females.
What is shown by the bar graph?A bar graph shows the output considering a given input. In the context of this problem, the inputs are the prices, and for each input there are two outputs, which are the number of male employees and the number of females employees in each department.
For this problem, the second input is the number of male employees and the number of females employees in the marketing departments.
Hence the number of employees is given as follows:
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change 4+(6/10)+(7/100) to decimal
Hello!
4 + (6/10) + (7/100)
= 4 + 0.6 + 0.07
= 4.67
Find the elements of range that correspond to the elements 0 and 3 of the domain,
[tex]f = {(x, y): 3y - 2x=6}[/tex]
The elements in the range that correspond to the elements 0 and 3 are y = 2 and y = 4 and the equations are solved.
Given data ,
To find the elements in the range that correspond to the elements 0 and 3 of the domain, we need to solve the equation 3y - 2x = 6 for the corresponding values of y when x = 0 and x = 3.
When x = 0:
Substituting x = 0 into the equation 3y - 2x = 6, we get:
3y - 2(0) = 6
3y = 6
y = 2
So, when x = 0, the corresponding value of y is 2.
When x = 3:
Substituting x = 3 into the equation 3y - 2x = 6, we get:
3y - 2(3) = 6
3y - 6 = 6
3y = 12
y = 4
So, when x = 3, the corresponding value of y is 4.
Hence , the elements in the range that correspond to the elements 0 and 3 of the domain are y = 2 and y = 4, respectively.
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Multiply: (Hint - use one of the formulas)
(5m² - 3)²
The simplified form of (5m² - 3)² is 25m⁴ - 30m² + 9.
Given is an expression (5m² - 3)², we need to simplify the expression,
To multiply the expression (5m² - 3)², we can use the formula for squaring a binomial:
(a - b)² = a² - 2ab + b²
In this case, a = 5m² and b = 3.
Substituting these values into the formula, we get:
(5m² - 3)² = (5m²)² - 2(5m²)(3) + (3)²
= 25m⁴ - 30m² + 9
Therefore, the simplified form of (5m² - 3)² is 25m⁴ - 30m² + 9.
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What is the surface area (S.A) of the circle shown below in terms of π
r = 4 inches.
h = 6 inches.
Answer:
64π
Step-by-step explanation:
To calculate the surface area (S.A) of the circle with a radius (r) of 4 inches and a height (h) of 6 inches, we need to consider both the curved surface area (lateral surface area) and the area of the circular base.
The curved surface area, also known as the lateral surface area, is calculated using the formula:
L.A = 2πrh
Substituting the given values, we have:
L.A = 2π(4)(6)
L.A = 48π square inches
The area of the circular base is calculated using the formula:
A = πr^2
Substituting the given radius, we have:
A = π(4^2)
A = 16π square inches
To find the total surface area (S.A), we need to sum the lateral surface area (L.A) and the area of the circular base (A):
S.A = L.A + A
S.A = 48π + 16π
S.A = 64π square inches
Therefore, the surface area (S.A) of the given circle is 64π square inches.
Please help!
flynn is playing with a toy that is tied to his hand by a string. the toy falls toward the floor then risee back towards flynns hand, and repeats this motion, following the path illustrated by the given graph. (see pic)
use the graph to complete the function h(t) that models the toys height, in feet, above the floor t seconds after it has left flynns hand.
h(t)=____ (poss. answers- 2, 1.75, 3.5, 4) cos=(____pi^t) poss. answers- 6, 1/6, 1/3, 3)
+_____ (poss. answers- 1.75, 0.25, 2, 2.25)
Answer:
h(t) = 1.75 cos (π/6) + 2.25
Step-by-step explanation:
the amplitude of a regular cos graph is 1 (it alternates between +1 and -1 on the y-axis). that is, amplitude = (1 - -1)/2 = 2/2 = 1.
this graph has amplitude (4 - 0.5)/2 = 3.5/2 = 1.75.
the graph repeats for every sixth value on the x-axis (time axis).
in the x-axis direction, a cos graph that becomes 6 times larger is cos (π/6). a cos graph that becomes 6 times smaller is cos (6π).
so for our graph, it is cos (π/6).
what about the y-shift?
the graph has already been enlarged 1.75 times parallel to the y-axis.
it crosses the y-axis at 4. so the y-shift is 4 - 1.75 = 2.25.
so our graph is given by h(t) = 1.75 cos (π/6) + 2.25
Answer: got it right
h(t)=1.75, cos(1/3), + 2.25
Step-by-step explanation:
4(-2)² + 8(-2) + 3(-2) + 6 = ? Can you break down how you solved it
Answer:
Step-by-step explanation:
To solve the expression 4(-2)² + 8(-2) + 3(-2) + 6, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, Addition and Subtraction - from left to right).
First, we will simplify any calculations within parentheses:
4(-2)² + 8(-2) + 3(-2) + 6
(-2)² is equal to (-2) * (-2), which is 4:
4 * 4 + 8(-2) + 3(-2) + 6
Next, we perform the multiplication:
4 * 4 = 16
Now, we have:
16 + 8(-2) + 3(-2) + 6
Next, we continue with the multiplication:
8(-2) = -16
3(-2) = -6
Now, we have:
16 + (-16) + (-6) + 6
Finally, we simplify the addition and subtraction from left to right:
16 + (-16) = 0
0 + (-6) = -6
-6 + 6 = 0
Therefore, the expression 4(-2)² + 8(-2) + 3(-2) + 6 simplifies to 0.
how to solve this question?
The revised Doubtful Debts Provision should be, $4,555.
Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):
Net Debts x Provision Rate equals Adjusted PDD.
The computation would then be:
= $91,100 x 0.05
= $4,555 is the adjusted PDD.
Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,
= $4,555 - $3,500
= $1,055
Hence, The revised Doubtful Debts Provision should be $4,555.
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La ganancia obtenida después de t años de
haber realizado una inversión inicial de
$1.000.000 está dada por la expresión:
1.000.000 × 2t
¿Qué representa el número 2 en la
expresión anterior?
A)las ganancias obtenidas en el segundo año
B)las ganancias obtenidas en el último año
C) que cada nuevo año las ganancias se reducen a la mitad
D) que cada nuevo año las ganancias se duplican con respecto al año anterior
In the given expression, "2" represents that each new year the profits double with respect to the previous year. So the correct answer is D) that each new year the profits double with respect to the previous year.
How to explain the expressionIn the given expression, the variable "t" represents the number of years that have passed since the initial investment was made. The expression 1,000,000 × 2t calculates the profit obtained after "t" years.
Therefore, the correct answer is D) that each new year the profits double with respect to the previous year.
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The profit obtained after t years of
have made an initial investment of
$1,000,000 is given by the expression:
1,000,000 × 2t
What does the number 2 represent in the
previous expression?
A) the profits obtained in the second year
B) the profits obtained in the last year
C) that every new year the profits are cut in half
D) that each new year the profits double with respect to the previous year
Mis disculpas por la respuesta anterior, cometí un error en la explicación. La respuesta correcta es la opción D. La expresión 1.000.000 × 2t indica que cada nuevo año las ganancias se duplican con respecto al año anterior.
En la expresión, el número 2 indica que las ganancias se duplican cada año con respecto al año anterior. La expresión 1.000.000 × 2t significa que la inversión inicial de un millón de dólares se multiplica por 2 elevado a la potencia de t, donde t es el número de años que han pasado.Cuando t=1, se refiere al primer año después de la inversión, y la ganancia sería 1.000.000 dividido por 2=1, es decir, dos millones. Esto significa que las ganancias del segundo año (opción A) serían de 2.000.000 de dólares.En general, las ganancias del año anterior se duplican cada año subsiguiente. Por lo tanto, la D es la opción correcta porque significa que las ganancias se duplican cada año con respecto al año anterior.
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Please help me please only answer if correct
The value of x in the triangle is 9, the volume of the cylinder is 1272.3 yd³ and the volume of the sphere is 268.1 mi³.
What is the numerical value of x in the triangle?To solve for the value of x in the triangle, we use ratio:
[tex]\frac{20}{20 + 16}=\frac{45}{45 + 3x + 9}[/tex]
Simplify and solve for x:
20/36 = 45/(3x + 54 )
Cross mulltiply:
20( 3x + 54 ) = 36 × 45
60x + 1080 = 1620
60x = 1620 - 1080
60x = 540
x = 540/60
x = 9
Therefore, the value of x is 9.
Option A) 9 is the correct answer.
Question 2)
Height of ctlinder h = 5 yd
Diameter = 18 yd
Radius = diameter/2 = 18/2 = 9 yd
Volume of cylinder = π × (radius)² × height
Volume = π × 9² × 5
Volume = 1272.3 yd³
Therefore, the volume of the cylinder is 1272.3 yd³.
Option B) 1272.3 yd³ is the correct ansswer.
Question 3)
Radius of the sphere r = 4 mi
Volume = ?
Volume = 4/3 × π × ( radius )³
Volume = 4/3 × π × ( 4 )³
Volume = 268.1 mi³
Therefore, the volume of the sphere is 268.1 mi³.
Option B) 268.1 mi³ is the correct answer.
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why two +Eleven + nine
Answer:
22 is answer
Step-by-step explanation:
Answer:
лвоалалалоала.сллслала лвлвлвл