for the circle with equation (x-2)2 (y 3)2 = 9, what is the diameter?

Answers

Answer 1

The diameter of the given circle is 6 units.

We can rewrite the given equation of the circle in standard form as below

x² + y² - 4x - 6y + 13 = 0

We can find the center of the circle by equating the equation to zero as below:x² + y² - 4x - 6y + 13 = 0(x-2)² + (y-3)² = 3²

The center of the circle = (2, 3)

The radius of the circle is 3 units. The diameter is twice the radius.

diameter = 2 × 3 = 6 units

Therefore, the diameter of the given circle is 6 units.

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Related Questions

Is PXY PXZ? Choose...

Answers

Answer:

i just did this one it is YES

Step-by-step explanation:

Let f be a given function. A graphical interpretation of the 2-point backward difference formula for approximating f'(x) is the slope of the line joining the points of abscissas xo - h and X, with h > 0. False True

Answers

A graphical interpretation of the 2-point backward difference formula for approximating f'(x) is the slope of the line joining the points of abscissas xo - h and X, with h > 0 is False

The 2-point backward difference formula for approximating f'(x) is given by:

f'(x) ≈ (f(x) - f(x - h)) / h

In this formula, the slope is calculated using the values of f(x) and f(x - h) at two points: x and x - h. The graphical interpretation of this formula involves finding the slope of the line passing through these two points.

However, the given statement states that the line is joining the points of abscissas xo - h and X, with h > 0. This implies that the line is connecting a fixed point xo - h to a variable point X. This interpretation does not align with the 2-point backward difference formula.

Therefore, the statement is false.

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Theater tickets are marked down 15%. How much are the tickets if they originally cost $55?​

Answers

The answer is 46.75 mark me brianliest if right!!

Data Mining. Data Mining cannot automatically find beneficial patterns for a business. True False

Answers

False. Data mining can automatically find beneficial patterns for a business by utilizing various techniques and algorithms to extract valuable insights and uncover hidden patterns from large datasets.

Data mining refers to the process of discovering patterns, relationships, and insights from large datasets. It involves using various techniques and algorithms to extract valuable information and knowledge from data. One of the primary goals of data mining is to uncover patterns that can be beneficial for businesses, such as identifying customer preferences, market trends, or predicting future outcomes.

Through automated analysis and pattern recognition, data mining can uncover hidden patterns and relationships that may not be apparent through traditional manual analysis. Therefore, data mining has the potential to automatically find beneficial patterns for businesses, making the statement "Data Mining cannot automatically find beneficial patterns for a business" false.

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Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennifer is planning on buying is one-quarter of the number of noisemakers. If Jennifer buys 65 items, how many noisemakers does Jennifer buy? Write and solve an equation using a variable for this problem. <3

Answers

Couldnt find the link but answer is in a pic online

If the point (-4,-8) is on the graph of the function L(x) and the slope of the line is 15, what is the equation for the function L(x).

Answers

The equation of the function L(x) is given by y = 15x + 52.

To find the equation of the function L(x), given that the point (-4, -8) is on the graph of the function L(x) and the slope of the line is 15, we use the point-slope form of the equation of a line.

Let's assume that the equation of the function L(x) is of the form y = L(x).

The slope of the line, m = 15

The point (-4, -8) is on the line, which means that it satisfies the equation of the line: y - y1 = m(x - x1),

where (x1, y1) = (-4, -8)

Substituting m, x1 and y1 in the equation of the line, we get:

y - (-8) = 15(x - (-4))y + 8

= 15(x + 4)y + 8

= 15x + 60y

= 15x + 52

The equation of the function L(x) is y = 15x + 52.

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The mean number of years of marriage preceding divorce is 7. The median mber of years is 6. Most divorces occur, however, either at 3 years of marriage 22 years. Which measure of central tendency best describes these data, and y?

Answers

The measure of central tendency that best describes the given data is the Mode.

The mode is the value that occurs most frequently in a data set. According to the given data, most divorces occur either at 3 years of marriage or 22 years. Hence, the mode best describes these data.

The mean is the average value of a data set, which is calculated by adding all the values and dividing by the number of values.

The median is the middle value of a data set when arranged in numerical order. In the given data, the mean number of years of marriage preceding divorce is 7, and the median number of years is 6. Since most divorces occur at either 3 years or 22 years, the mode best describes the given data.

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7.13 hm³ = _____m³
Convert this!
Options
713 x 10^4
71.3 x 10²
71.3 x10³
713 x 10²

Answers

Answer:

71.3 * 10² that's the answer to your question

Step-by-step explanation:

The answer is 713 X 10^4

I hope it helps

Poosjsjdiwjqjsnsjjdd

Answers

Answer:

poosjsjdwjqisnsjjdd

Step-by-step explanation:

Answer:

what's the question?

verify x+(y+z) =(x+y) +z, when x=-4/15, y=-4/5and z =17/8​

Answers

Answer:

The equality is true

Step-by-step explanation:

x+(y+z)=(x+y)+z

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for y

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/8

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24so this equality is true

What is the constant in y=−3x+7

dont say the answer in a file i have to download

Answers

Answer:

7

Step-by-step explanation:

The constant is a number without the variable. So the answer is 7

Let T: R3 → R3 be the linear transformation that projects u onto v = (a) Find the rank and nullity of T (b) Find a basis for the kernel of T.

Answers

The linear transformation T: R³ → R³ that projects u onto v has Rank(T) = 1 and the basis for the kernel of T is {a}.

To find the rank and nullity of the linear transformation T: R³→ R³, we need to determine the dimensions of the image space (range) and the kernel (null space) of T.

(a) Rank of T:

The rank of T is equal to the dimension of the image space. Since T projects u onto v, the image of T is the span of the vector v. Therefore, the rank of T is 1.

Rank(T) = 1

(b) Basis for the kernel of T:

The kernel of T consists of all vectors u in R³ that are mapped to the zero vector in R³. In other words, it consists of all vectors u perpendicular to the vector v.

To find a basis for the kernel, we need to solve the equation T(u) = 0. Since T projects u onto v, we can express this as u - proj_v(u) = 0.

For any vector u in R³, the projection of u onto v can be computed as:

proj_v(u) = (u · v) / (||v||²) * v

where u · v represents the dot product of u and v, and ||v|| is the norm (length) of v.

In this case, v = (a), so we can rewrite the projection formula as:

proj_v(u) = (u · (a)) / (||a||²) * (a)

Since T(u) = u - proj_v(u) = 0, we have:

u - (u · (a)) / (||a||²) * (a) = 0

This equation can be rearranged as:

u = (u · (a)) / (||a||²) * (a)

Now we can find a basis for the kernel by setting u to be a free variable and expressing it in terms of (a).

Let's denote the scalar (u · (a)) / (||a||²) as k:

u = k * a

Therefore, any vector in the kernel of T can be written as k * a, where k is a scalar.

A basis for the kernel of T is {a}.

So, the basis for the kernel of T is {a}.

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x^2-8x+15
expresión racional ​

Answers

Answer:

x = 3, 5

Step-by-step explanation:

(x - 3)(x - 5) = 0

The velocity vector of a particle moving in the XY plane has components given by dx/dt= sin(t^2) and dy/dt= e^(cost). At time t=4 the position of the particle is (2,1). What is the y-coordinate of the position vector at time t=3.

Answers

The y-coordinate of the position vector at time t=3 is approximately 1.446.

For the y-coordinate of the position vector at time t=3, we first need to integrate the given velocity components with respect to time to obtain the position components:

x(t) = ∫(dx/dt) dt = ∫sin(t²) dt

= (1/2)∫sin(u)/√(u) du

(where u = t²)

y(t) = ∫(dy/dt) dt

= ∫[tex]e^{cos t}[/tex] dt = [tex]e^{cos t}[/tex] + C

We can then use the given initial condition at time t=4 to determine the constant value C for the y-component:

x(4) = 2, y(4) = 1

Plugging in t=4 to the position equations, we get:

x(4) = (1/2)∫sin(u)/√(u) du = 2

y(4) = [tex]e^{cos 4}[/tex] + C = 1

Solving for C, we get:

C = 1 -  [tex]e^{cos 4}[/tex]

Now we can plug in t=3 to find the y-coordinate of the position vector:

y(3) =  [tex]e^{cos 3}[/tex] + C

y(3) =  [tex]e^{cos 3}[/tex] + 1 -  [tex]e^{cos 4}[/tex]

y(3) ≈ 1.446 (rounded to three decimal places)

Therefore, the y-coordinate of the position vector at time t=3 is , 1.446.

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2+x5-3=(2+)x(5-3) is the equation true or not show work why

Answers

This equation has some nested grouping symbols on the left-hand side. As usual, I'll simplify from the inside out. I'll start by inserting the "understood" 1 in front of that innermost set of parentheses:

3 + 2[4x – (4 + 3x)] = –1

3 + 2[4x – 1(4 + 3x)] = –1

3 + 2[4x – 1(4) – 1(3x)] = –1

3 + 2[4x – 4 – 3x] = –1

3 + 2[1x – 4] = –1

3 + 2[1x] + 2[–4] = –1

3 + 2x – 8 = –1

2x + 3 – 8 = –1

2x – 5 = –1

2x – 5 + 5 = –1 + 5

2x = 4

x = 2
It is not required that you write out this many steps; once you get comfortable with the process, you'll probably do a lot of this in your head. But until you reach that comfort zone, you should write things out at least this clearly and completely.

Always remember, by the way, that you can check your answers in "solving" problems by plugging the numerical answer back in to the original equation. In this case, the variable is only in terms on the left-hand side (LHS) of the equation; my "check" (that is, my evaluation at the solution value) looks like this:

LHS: 3 + 2[4x – (4 + 3x)]:

3 + 2[4(2) – (4 + 3(2))]

3 + 2[8 – (4 + 6)]

3 + 2[8 – (10)]

3 + 2[–2]

3 – 4

–1
Since this is what I was supposed to get for the right-hand side (that is, I've shown that the LHS is equal to the RHS), my solution value was correct.

When light arrives and leaves a reflecting surface the angle with the line perpendicular to the surface is what?

Answers

Answer:

the angle of reflection is the angle between the reflected wave and the "normal" (the perpendicular line to the reflecting surface).

Step-by-step explanation:

Answer:

The angle which the light leaves or bounces off a surface is angle of reflection.

Step-by-step explanation:

has two types of light rays. The incoming ray and the outgoing, or reflected, ray. The angle between the incident ray and an imaginary perpendicular line drawn to the surface of the mirror is called the angle of incidence.

Which of these is an example of a continuous random variable?
O A. Number of breaths in a minute
O B. Number of employees at a company
O C. Scores in a bowling tournament
D. Length of a fish

Answers

Answer:

D Length of  F I S H

Step-by-step explanation:

I chose the bowling one and got it wrong, but you can have the right answer

Answer: length of a fish

Step-by-step explanation: quizzzz

Find the surface area.

Answers

The surface are is 29

Answer:

600ft^2

Step-by-step explanation:

Step One: There are two identical faces of each, which means we can multiply each face times two to make it faster. The first face will be 2(4*12)=96. I muliplied by two, because, once again, there are two faces of each.

Step Two: The next is 2(18*12)=432 and lastly, 2(4*18)= 72

Step Three: We just have to add it all up: 72+96+432= 600ft^2

look at photo for the question and answer choices... NO LINKS OR BLANK ANSWERS

Answers

Answer:

B and E

Step-by-step explanation:

The area of the following parallelogram is 77m2. What is the length it’s base?

Answers

Answer:

11 maybe???

Step-by-step explanation:

What is the fraction for 0.85?, what is the percent for 0.85?. What is the ratio for 0.85

Answers

Answer:

Fraction: 17/20

Percent: 85%

Ratio: 85 out of 100

Step-by-step explanation:

Step-by-step explanation:

Fraction = 85/100 = 17 / 20

Percent = 17 / 20 × 100 = 85%

Ratio = 17 : 20

Please help I will give 20 points if right

Answers

Answer:

for my own advice you should add those numbers then that Square unit if she's there it's 90° so you should find the area of the polygon which that thing when you come this sides you get the number of the polygon with your plus then by those numbers then he write his equals to 90 degree then you'll get your answer thank you

Help fastttt someone pls and no files will block you

Answers

I believe h is the answer

triangle abc with vertices at a(−1, −1), b(1, 1), c(0, 1) is dilated to create triangle a′b′c′ with vertices at a′(−3, −3), b′(3, 3), c′(0, 3). determine the scale factor used.

Answers

1] The scale factor used to dilate triangle ABC to create triangle A'B'C' is

2] To determine the scale factor used, we can compare the corresponding side lengths of the original triangle ABC and the dilated triangle A'B'C'.

Using the distance formula, we can calculate the lengths of the sides:

Side AB:

For triangle ABC: AB = √[(1 - (-1))^2 + (1 - (-1))^2] = √8 = 2√2

For triangle A'B'C': A'B' = √[(3 - (-3))^2 + (3 - (-3))^2] = √72 = 6√2

Side AC:

For triangle ABC: AC = √[(0 - (-1))^2 + (1 - (-1))^2] = √5

For triangle A'B'C': A'C' = √[(0 - (-3))^2 + (3 - (-3))^2] = √72 = 6√2

Side BC:

For triangle ABC: BC = √[(1 - 0)^2 + (1 - 1)^2] = 1

For triangle A'B'C': B'C' = √[(3 - 0)^2 + (3 - 3)^2] = 3

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The height of a cone is twice the radius of its base.

What expression represents the volume of the cone, in

cubic units?

23x3

49X3

Answers

Answer:

2/3πx³

Step-by-step explanation:

Volume of a cone is expressed as;

V = 1/3πx²h ... 1

x is the radius

h is the height of the cone

If the height of a cone is twice the radius of its base, then;

h = 2x ... 2

Substitute equation 2 into 1

Recall that V =  1/3πx²h

V = 1/3πx²(2x)

V = 2/3πx³

Hence the expression that represents the volume of the cone is 2/3πx³ cubic units

Carissa’s gerbil has a tail that is the same length as its body length. Its tail is 102 millimeters. How long is her gerbil in centimeters?

Answers

Answer:

10.2 cm

Step-by-step explanation:

Divide the tail length by 10

HoPe ThIs HeLpEd youuu! lol :)

Answer: 10.2 cm

Hope this helped! :D

You spin the spinner and flip a coin. Find the probability of the compound event. The probability of spinning a number less than 3 and flipping tails is

Answers

Answer:

1/5

Step-by-step explanation

The spinner has the numbers 1-5 and they want the numbers less than 3 there a 2/5 then multiply the denominator by 1/2 thin divide it by 2

2/10 divided by 2 = 1/5

.

Find the missing side. Round to the nearest tenth. (a2+b2=c2)

Answers

Answer: 5.4

Step-by-step explanation:

Pretty Simple 5 squared plus 2 squared is 29.Just find the square root of that and it is the third side.:)

Answer:

5^2 + 2^2 = 29

sqr root of 29 is 5.385

Step-by-step explanation:

A secret agent wants to break a 6-digit code. He knows that the sum of the digits in even positions is equal to the sum of the digits in odd positions. Which of the following numbers could be the code?

A)12*9*8. B)181*2

Answers

The code could be the number "181*2" since the sum of the digits in even positions (8+2) is equal to the sum of the digits in odd positions (1+1).(option A)

To determine if a number could be the code, we need to check if the sum of the digits in even positions is equal to the sum of the digits in odd positions.

Let's analyze the options:

A) 12*9*8: The sum of the digits in even positions is 1+9 = 10, while the sum of the digits in odd positions is 2+8 = 10. Therefore, this number could be the code.

B) 181*2: The sum of the digits in even positions is 8+2 = 10, and the sum of the digits in odd positions is 1+1 = 2. These sums are not equal, so this number cannot be the code.

Based on the given information, only option A (1298) satisfies the condition where the sums of the digits in even and odd positions are equal.

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Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation 20. Find P15, which is the IQ score separating the bottom 15% from the top 85%.

Answers

Taking the given data into consideration we reach the conclusion that the IQ score ranging the bottom 15% from the top 85% is approximately 79.2, under the standard deviation 20.

Let us assume that adults have IQ scores that are normally expressed  with a mean of 100 and a standard deviation of 20, we need to calculate the IQ score ranging the bottom 15% from the top 85%, which is denoted as [tex]P_{15}[/tex]
To find the answer for this problem, we need to evaluate the z-score that corresponds to the 15th percentile. We can utilise a standard normal distribution table to  evaluate this value.
Implementing a standard normal distribution table, we could evaluate that the z-score corresponding to the 15th percentile is approximately -1.04.
[tex]z = (P_{15} - mean) /standard deviation[/tex]
[tex]-1.04 =( P_{15} - 100) /20[/tex]
[tex]- 20.8 = P_{15} - 100[/tex]
[tex]P_{15} = 79.2[/tex]
Hence, the IQ score separating the bottom 15% from the top 85% is approximately 79.2.
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The heights of a certain population of corn plants follow a normal distribution with mean 145 cm and standard deviation 22 cm. What percentage of the plant heights are (a) 100 cm or more? (b) 120 cm or less?(c) between 120 and 150 cm?(d) between 100 and 120 cm?(e) between 150 and 180 cm? Which government research agency manages the National Water Quality Assessment (NAWQA) program? [________]In the United States, what pesticide functional class is more likely to be found in streams meandering through urban areas than in streams receiving predominantly agricultural runoff.fungicideherbicideinsecticidesurfactantacariciderodenticideplant growth regulatorYou have been hired by a large nationally based crop consultancy industry. You have clients in the Central Sands area of Wisconsin where a diversity of vegetable and fruit crops are grown. 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