find an equation of the circle that has center , 2−5 and passes through , 6−1.

After calculation, we conclude the expansion of the binomial is:

(\(x-2y)³ is x³ - 6xy + 12y² - 8y³.\)

To expand the binomial (x-2y)³ using the Binomial Theorem, we can use the formula:
\((x-2y)³ = C(3,0) * x³ * (-2y)⁰ + C(3,1) * x² * (-2y)¹ + C(3,2) * x¹ * (-2y)² + C(3,3) * x⁰ * (-2y)³\)

Simplifying this expression, we have:
\((x-2y)³ = 1 * x³ * (-2y)⁰ + 3 * x² * (-2y)¹ + 3 * x¹ * (-2y)² + 1 * x⁰ * (-2y)³\)
Which further simplifies to:
\((x-2y)³ = x³ + (-6xy) + (12y²) + (-8y³)\)

Therefore, the expansion of the binomial \((x-2y)³ is x³ - 6xy + 12y² - 8y³.\)

Know more about binomial  here:

https://brainly.com/question/9325204

#SPJ11

Expand the binomial (x - 2y)³ using the Binomial Theorem, we can use the formula: (x - 2y)³ = C(3,0) x³ (-2y)⁰ + C(3,1) x² (-2y)¹ + C(3,2) x¹ (-2y)² + C(3,3) x⁰ (-2y)³ where C(n,r) represents the binomial coefficient and can be calculated using the formula: C(n,r) = n! / (r! * (n-r)!). So, we have obtained the expression x³ - 6xy + 12xy² - 8y³.

Let's expand each term step by step:

1. C(3,0) x³ (-2y)⁰:
  C(3,0) = 3! / (0! * (3-0)!) = 1
  (-2y)⁰ = 1
  Therefore, the term is x³ * 1 * 1 = x³

2. C(3,1) x² (-2y)¹:
  C(3,1) = 3! / (1! * (3-1)!) = 3
  (-2y)¹ = -2y
  Therefore, the term is x² * 3 * (-2y) = -6xy

3. C(3,2) x¹ (-2y)²:
  C(3,2) = 3! / (2! * (3-2)!) = 3
  (-2y)² = 4y²
  Therefore, the term is x * 3 * 4y² = 12xy²

4. C(3,3) x⁰ (-2y)³:
  C(3,3) = 3! / (3! * (3-3)!) = 1
  x⁰ = 1
  Therefore, the term is 1 * 1 * (-2y)³ = -8y³

Now, let's combine all the terms:
x³ - 6xy + 12xy² - 8y³

In conclusion, using the Binomial Theorem, we have expanded the binomial (x - 2y)³ to obtain the expression x³ - 6xy + 12xy² - 8y³.

Learn more about Binomial Theorem:

https://brainly.com/question/30100273

#SPJ11

Therefore, the equation of the line that is parallel to line g and passes through point P(-2,0) is y = 2x + 4.

An equation is a mathematical statement that asserts that two expressions have the same value. It contains an equals sign (=) and can include variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in various fields of mathematics, science, engineering, and economics, among others, to model and solve problems.

Here,

Part A: Since line f has a constant y-value of 2, any line parallel to it will also have a constant y-value of 2. Therefore, the equation of the line that is parallel to line f and passes through point P(-2,0) is simply y = 0.

Part B: To find the equation of a line that is parallel to line g and passes through point P(-2,0), we can use the fact that parallel lines have the same slope. The slope of line g is 2, so the slope of any line parallel to it will also be 2. Using the point-slope form of a linear equation, we have:

y - 0 = 2(x - (-2))

y = 2x + 4

Part C: To find the equation of a line that is perpendicular to line f and passes through point Q(3,-2), we can use the fact that the product of the slopes of two perpendicular lines is -1. The slope of line f is 0, so the slope of any line perpendicular to it will be undefined (since division by zero is undefined). Therefore, the equation of the line that is perpendicular to line f and passes through point Q(3,-2) is simply x = 3.

Part D: To find the equation of a line that is perpendicular to line g and passes through point Q(3,-2), we can use the fact that the product of the slopes of two perpendicular lines is -1. The slope of line g is 2, so the slope of any line perpendicular to it will be -1/2. Using the point-slope form of a linear equation, we have:

y - (-2) = (-1/2)(x - 3)

y + 2 = (-1/2)x + 3/2

y = (-1/2)x - 5/2

Therefore, the equation of the line that is perpendicular to line g and passes through point Q(3,-2) is y = (-1/2)x - 5/2.

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

Hey there!

If x = 48

48/4 = 12 because 12 • 4 equals 48

Answer: 12

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

x=8

Step-by-step explanation:

{x}{4}x=48

{x^2}{4}=48

{4x^2}{4}=48\

Answer:

y=1.7

x=.9

Step-by-step explanation:

Answer:

x = 1.75 -y, y = 1.25 + x

Step-by-step explanation:

Part One

2x + y = 3.5

Divide

x + y = 1.75

Move the variable and change its sign

x = 1.75 -y

Part Two

-x + 2y = 2.5

Divide

-x + y = 1.25

Add

y = 1.25 + x

Let x1, x2, x3,x4,x5 be 5 nos in increasing order.

Median of 5 nos =[(5-1)/2 +1 ] th value =

3rd value = 8

x3 = 8 ........(0)

Range = Max - Min = x5 - x1

x5 - x1 = 11

x5 = 11 + x1. .......(1)

Mean = sum of values/ no. of values

(x1+x2+x3+x4+x5)/5 = 9

x1+ x2 +8 +x4+ 11+x1 = 45 _____(using (1) and (0))

2*x1 + x2 + x4 = 45-8-11

2*x1+ x2 + x4 = 22-------------(2)

Now mode = value that occurs most number of times

Mode = 4. -------(3)

Using (3) in (2) we get

2*x1 + 4 + 4 = 22

2*x1 = 14

x1 = 7

From (1)

x5 = x1+ 11 = 7+11= 18

So

x1 = 7, x2 = 4, x3 = 8, x4 = 4, x5 = 18

According to the given information we can calculate that it will take the two trains 2.2 hours to meet.

Time is often considered to be a constant and unidirectional flow, moving from past to present to future. However, the nature of time has been the subject of much debate and speculation in philosophy, physics, and other fields, with theories ranging from the idea of a fixed and unchangeable timeline to the possibility of multiple parallel universes and alternative realities.

To find the time it takes for the two trains to meet, we can use the formula:

time = distance / rate

where "distance" is the distance between the two trains and "rate" is the combined rate of the two trains.

Since the two trains are traveling towards each other, we can add their rates to get the combined rate:

combined rate = 80 mph + 90 mph = 170 mph

Now we can substitute the values into the formula:

time = 374 miles / 170 mph

Simplifying this expression, we get:

time = 2.2 hours

Therefore, according to the given information we can calculate that it will take the two trains 2.2 hours to meet.

To know more about time visit:

https://brainly.com/question/1816510

#SPJ1

Answer:1/16

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

Answer:

D. 97

Step-by-step explanation:

Please give me brainliest or a thank you! I’ll explain my answer if I need it :)

Answer:

starting balance = $525.25

Explanation:

let the starting balance be b

start balance = 3 checks + final balance

start balance - 3 checks = final balance

Equation:

b -3(65) = $330.25

Solve this:

b -3($65) = $330.25

b - $195 = $330.25

b = $330.25 + $195

b = $525.25

So the starting balance is $525.25

The maximum number of packs Jess can buy is 3 packs.

Answer:

6561

Step-by-step explanation:

3^2= 3*3=9   9^4= 9*9*9*9= 6561

Answer:

\(((3)^2)^4 = (9)^4 = 6561\\\\\\OR\\\\\\(3)^2)^4= 3^8 = 6561\)

1. The equation for the cost of adult tickets is:

$8.97 x number of adult tickets

The equation for the cost of child tickets is:

$6.79 x number of child tickets

The equation for the cost of renting out the theater is:

$190

2. Yes, you can get at least 5 adult tickets and 4 kids tickets.

3. The most tickets you could have bought and met the given conditions is 9 adult tickets and 8 kids tickets.

4.  It would be a better deal to rent out the theater if you had more than 24 people.

You must be aware of the costs of adult and child tickets in order to determine if you can purchase at least 5 adult tickets and 4 child tickets. A cinema ticket for an adult costs $8.97 on average, while a ticket for a child costs $6.79 on average. 4 children's tickets would cost $27.16 and 5 adult tickets would cost $44.85 as a result. You would then have $202.49 remaining, which would be enough to pay for 7 additional child tickets. Thus, you can purchase at least 5 adult and 4 child tickets.

The most tickets you could have purchased while still fulfilling the requirements is nine adult and eight child tickets. The total price would be $135.05. The adult tickets would cost $80.73 and the child tickets would cost $54.32. You would now have $89.45, which is insufficient to purchase any additional tickets.

Renting out the theater might be a great option if you have more than 24 individuals. This is due to the fact that hiring out the theater costs $190 and allows for a maximum of 24 guests, both adults and children. Consequently, renting the theater would be less expensive than purchasing individual tickets if you had more than 24 individuals.

Learn more about rent here brainly.com/question/14980502

#SPJ1

Answer:

I think the answer is 40 sorry if it is wrong.

Step-by-step explanation:

Answer:

Step-by-step explanation:

   1, 238.46 total money

-      975.00 money spent

-------------------

      263.46

Answer:

\(x=-4,\:x=-5\)

Step-by-step explanation:

\(x^2+9x+20=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}x^2+9x+20:\quad \left(x+4\right)\left(x+5\right)\\\\\left(x+4\right)\left(x+5\right)=0\\\\Using\:the\:Zero\:Factor\:Principle:\\\quad\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\\\mathrm{Solve\:}\:x+4=0:\quad x=-4\\\\\mathrm{Solve\:}\:x+5=0:\quad x=-5\\\\x=-4,\:x=-5\)

Answer:

Factored form: (x+4)(x+5) = 0

x = -5 or -4

Step-by-step explanation:

To factor x^2 + 9x + 20, we need to find 2 numbers that multiply to 20 and add up to 9.

The reason for that is because when you multiply (x+a)(x+b) using FOIL, you will get x^2 + ax + bx + ab.

Anyway, 4 and 5 would satisfy this, because 4+5 = 9 and 4*5 = 20. We can then factor the equation to (x+4)(x+5).

To solve (x+4)(x+5) = 0, we need to make either x+4 = 0 or x+5 = 0. That means x can be either -5 or -4.

The main difference between everyday logic and mathematical logic is that everyday logic is based on general observations and opinions, while mathematical logic is based on precise statements and facts.

Differences:
- Everyday logic is based on common sense and intuition, while mathematical logic is based on strict rules and formulas.
- Everyday logic is often used to make decisions or solve problems in daily life, while mathematical logic is used to solve complex mathematical problems.
- Everyday logic can be subjective and influenced by personal beliefs or experiences, while mathematical logic is objective and follows a set of universally accepted principles.

Similarities:
- Both everyday logic and mathematical logic use reasoning to draw conclusions.
- Both everyday logic and mathematical logic rely on evidence and facts to support their conclusions.
- Both everyday logic and mathematical logic can be used to solve problems and make decisions.

In conclusion, while everyday logic and mathematical logic have some similarities in terms of their use of reasoning and evidence, they differ in their approach and application. Everyday logic is based on common sense and intuition, while mathematical logic is based on strict rules and formulas.

Know more about mathematical logic here:

https://brainly.com/question/28052598

#SPJ11

The scale factor, if MJ is 25 ft. long and M'J' is 5 feet long is 1/5

If MJ is considered as the original figure, it is 25 ft. long.

The image of MJ, M'J' is 5 feet long

Scale factor is generally understood as the number of times the dimensions of the image is enlarged or diminished

Scale factor = Dimension of the new image ÷ Dimension of the original shape

Scale factor = M'J' length/ MJ length

k = 5/25

k = 1/5

The value of scale factor = 1/5, which means the new image is diminished.

Therefore the scale factor, if MJ is 25 ft. long and M'J' is 5 feet long is 1/5.

To learn more about scale factor refer here

https://brainly.com/question/15891755

#SPJ1

Answer:

4

Step-by-step explanation:

\((7^5*7^n)^4 = (\frac{7^{16}}{7^n})^3\)

\(7^{20}*7^{4n} = \frac{7^{48}}{7^{3n}}\)

\(7^{7n} = \frac{7^{48}}{7^{20}}\)

\(7^{7n} = 7^{28}\\\)

\(n = 4\)

By solving the following initial value problem by Picard's method, we get  -x^2/2 which is similar with the exact solution.

By Picard's method, we can iteratively solve the given initial value problem. Let's begin by finding the first two approximations.

First approximation:

y1(x) = 1 + ∫(0 to x) z(t) dt = 1 + ∫(0 to x) dz/dt dt = 1 + z(0)x = x

z1(x) = 0 - ∫(0 to x) y(t) dt = -∫(0 to x) y1(t) dt = -∫(0 to x) t dt = -x^2/2

Second approximation:

y2(x) = 1 + ∫(0 to x) z1(t) dt = 1 - ∫(0 to x) t^2/2 dt = 1 - x^3/6

z2(x) = 0 - ∫(0 to x) y1(t) dt = -∫(0 to x) t dt = -x^2/2

Therefore, the second approximation for the solution of the given initial value problem is y(x) = 1 - x^3/6 and z(x) = -x^2/2.

To find the exact solution, we can solve the differential equations directly.

From dz/dx = -y, we get z(x) = -∫(0 to x) y(t) dt

Substituting y(x) = 1 - x^3/6, we get z(x) = x - x^4/24

Therefore, the exact solution for the given initial value problem is y(x) = 1 - x^3/6 and z(x) = x - x^4/24.

Comparing the exact solution and the second approximation by Picard's method, we can see that they are the same.

Learn more about Picard's method at:

brainly.com/question/30267788

#SPJ4

Answer:

6.72

Step-by-step explanation:

I multiplied both numbers by 10 to make it easier in my opinion. That made the equation 994.66 x 148

Then, I divided it until i got to the thousandths place. Lastly, i just rounded making it 6.72

the distance from (4,-4) to (-7,-8) is 11.70

Answer: 5

Step-by-step explanation:

use distance formula for these types of equations x1-x2 squared plus y1 -y2 squared. add both sides together square them and then get a total and then square your total for the answer. In this case 5

Answer: you know now that i think about it not really

Step-by-step explanation:

Answer:

I think that is complete bs anyone can wear any mask and look thinner but the most important part is wearing a mask and having the mask fit comfortably around your face.

Step-by-step explanation:

Please wear a mask in public!!

Answer:

Step-by-step explanation:

Since the lines are parallels and should equal 180 degrees, with the other being 140 degrees, I would think it's 40 degrees to make the 180. I hope  this is right. It's been a while for geometry.

The Glasgow Coma Scale (GCS) is a neurological assessment tool used to measure a patient's level of consciousness after an injury or illness.

It consists of three components: eye opening, verbal response, and motor response. Each component is assigned a score ranging from 1 to 6, with a higher score indicating a better neurological status. The maximum score a patient can achieve is 15, with 5 being the minimum score for a patient to be considered conscious.

Regarding the highest numerical value assigned to eye opening, the answer is A. 6 points. Eye opening is one of the three components of the GCS, and it measures the patient's ability to open their eyes spontaneously, in response to verbal stimuli, or in response to painful stimuli.

A score of 6 is given when the patient opens their eyes spontaneously, which is the highest score for this component. A score of 5 is given when the patient opens their eyes in response to verbal stimuli, and a score of 4 is given when the patient opens their eyes in response to painful stimuli. Scores lower than 4 indicate a severe neurological impairment.

In summary, the highest numerical value assigned to eye opening when computing the GCS is 6 points, which is given when the patient opens their eyes spontaneously.

To know more about value click here

brainly.com/question/30760879

#SPJ11

Answer:

BC ≈ 8.9 units

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos36° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{BC}{11}\) ( multiply both sides by 11 )

11 × cos36° = BC , then

BC ≈ 8.9 ( to the nearest tenth )

Answer:

8.9

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

\(\frac{1}{4}\) x - 2 = - 6 + \(\frac{5}{12}\) x

multiply through by 12 ( the LCM of 4 and 12 ) to clear the fractions

3x - 24 = - 72 + 5x ( subtract 5x from both sides )

- 2x - 24 = - 72 ( add 24 to both sides )

- 2x = - 48 ( divide both sides by - 2 )

x = 24

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

To learn more about fraction, click here: brainly.com/question/28372533

#SPJ11