What is the greatest common factor of ​64xyz−36xy 24x ?

Answer:

see below

Step-by-step explanation:

3t+1> 3t + 2

Subtract 3t from each side

1>2

This is never true so there is no solution

Since the variable terms are the same, we only have to look at the constants

Using Pythagorean theorem, the student walked 53.58 meters more compared to the total displacement from the starting point.

If a student walks 100 meters north, then 100 meters west, then the path he travels resembles the sides of a right triangle (see attached photo).

Using Pythagorean theorem, we can solve for the total displacement from the starting point to the end point.

c^2 = a^2 + b^2

where c is the total displacement from the starting point to the end point

a is the distance he walks up north

b is the distance he walks to the west

c^2 = 100^2 + 100^2

c^2 = 10,000 + 10,000

c^2 = 20,000

c = 141.42 meters

Comparing the total distance the student walked and the total displacement from the starting point to the end point by subtraction.

100 meters + 100 meters - 141.42 meters = 53.58 meters

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Answer:

B (10, 5)

Step-by-step explanation:

We simply set the midpoint equal to each of its respective variable equation in \(m = (\frac{x1+x2}{2},\frac{y1+y2}{2} )\)

Step 1: Solve x

4 = (-2 + x)/2

8 = -2 + x

x = 10

Step 2: Solve y

3 = (1 + y)/2

6 = 1 + y

y = 5

Put it in coordinates and we have our final answer!

Answer:

B(10,5)

Step-by-step explanation:

You already have A and M so you just find the difference and add it to M.  That is my way of getting the answer.  I am taking the Honors Geometry class in 6th grade.  

the area inside the curve R is approximately 42.4115 square units.

To find the area inside the curve R, we can use a double integral. The formula for finding the area of a region using a double integral is:

A = ∬R dA

where A is the area of the region R, and dA is an infinitesimal element of area in the region R.

In polar coordinates, dA can be expressed as:

dA = r dr dθ

where r is the radius and θ is the angle.

Substituting this into the formula for the area, we get:

A = ∫₀^2π ∫₀^(5+sinθ) r dr dθ

We can evaluate this integral by integrating first with respect to r and then with respect to θ:

A = ∫₀^2π [1/2 r²] from 0 to (5+sinθ) dθ

A = ∫₀^2π 1/2 (5+sinθ)² dθ

Expanding the square and simplifying, we get:

A = ∫₀^2π 1/2 (25 + 10sinθ + sin²θ) dθ

A = 1/2 ∫₀^2π (25 + 10sinθ + sin²θ) dθ

Using the trigonometric identity sin²θ = (1-cos2θ)/2, we can simplify this to:

A = 1/2 ∫₀^2π (25 + 10sinθ + 1/2 - 1/2cos2θ) dθ

A = 1/2 ∫₀^2π (27/2 + 5sinθ - 1/2cos2θ) dθ

Integrating each term separately, we get:

A = 1/2 [27/2θ - 5cosθ + 1/4sin2θ] from 0 to 2π

A = 1/2 [(27/2)(2π) - 5cos2π + 1/4sin2(2π) - (27/2)(0) - 5cos0 + 1/4sin0]

A = 1/2 (27π)

A = 13.5π

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Mathematicians use Pascal's triangle in many different areas, including algebra, probability theory, combinatorics, statistics, and more. The combinations can be computed using Pascal's triangle.

What is combination?

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant."

Triangle Properties of Pascal

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(a) The union of V1, V2, V3, and V4 is the set {x}.

(b) The intersection of V1, V2, V3, and V4 is the interval [-1, x].

(c) No, V1, V2, and V3 are not mutually disjoint.

(d) The union of all Vi for positive integer i from 1 to n is the interval [-1, x].

(e) The intersection of all Vi for positive integer i from 1 to n is the interval [-1, x].

(f) The union of an infinite number of Vi is the interval [-1, x].

(g) The intersection of an infinite number of Vi is the interval [-1, x].

We have,

Let's solve each part of the question:

(a) ∪ (i = 1 to 4) Vi:

We have V1 = [-1, x], V2 = [-1, x], V3 = [-1, x], and V4 = [-1, x].

To find the union, we need to consider the maximum range for x across all intervals.

The maximum range for x is [x, x] = {x}.

Therefore, ∪(i = 1 to 4) Vi = {x}.

(b) ∩ (i = 1 to 4) Vi:

To find the intersection, we need to consider the minimum range for x across all intervals.

The minimum range for x is [-1, x].

Therefore, ∩ (i = 1 to 4) Vi = [-1, x].

(c) Are V1, V2, V3 mutually disjoint?

No, V1, V2, and V3 are not mutually disjoint.

Since their intervals overlap, they share common elements.

(d) ∪ (i = 1 to n) Vi:

In this case, n is a positive integer.

The union of all Vi from i = 1 to n will be the maximum range for x across all intervals.

The maximum range for x is [-1, x].

Therefore, ∪ni=1 Vi = [-1, x].

(e) ∩ (i = 1 to n) Vi:

In this case, n is a positive integer.

The intersection of all Vi from i = 1 to n will be the minimum range for x across all intervals.

The minimum range for x is [-1, x].

Therefore, ∩ (i = 1 to n) Vi = [-1, x].

(f) ∪ (i = 1 to ∞) Vi:

When we take the union of an infinite number of intervals, we consider the maximum range for x across all intervals.

The maximum range for x is [-1, x].

Therefore, ∪ (i = 1 to ∞) Vi = [-1, x].

(g) ∩ (i = 1 to ∞)  Vi:

When we take the intersection of an infinite number of intervals, we consider the minimum range for x across all intervals.

The minimum range for x is [-1, x].

Therefore, ∩ (i = 1 to ∞)  Vi = [-1, x].

Thus,

(a) The union of V1, V2, V3, and V4 is the set {x}.

(b) The intersection of V1, V2, V3, and V4 is the interval [-1, x].

(c) No, V1, V2, and V3 are not mutually disjoint.

(d) The union of all Vi for positive integer i from 1 to n is the interval [-1, x].

(e) The intersection of all Vi for positive integer i from 1 to n is the interval [-1, x].

(f) The union of an infinite number of Vi is the interval [-1, x].

(g) The intersection of an infinite number of Vi is the interval [-1, x].

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Answer:

36.54

Step-by-step explanation:

that's what it is so just do like 36-37

Answer:

45% of 81.2 is 36.54

Step-by-step explanation:

a, b, and c are collinear points. b is the midpoint of ac .

The coordinate of c is 3. So, the coordinate of point c is 3.

If b is the midpoint of ac, it means that the coordinates of a, b, and c lie on the same line and b is exactly halfway between a and c.

Given that the coordinate of a is -8 and the coordinate of b is -2.5, we can determine the coordinate of c as follows:

The distance from a to b is equal to the distance from b to c. Since b is the midpoint, the distance from a to b is half of the distance from a to c. Mathematically, we can express this relationship as:

|a - b| = |b - c|

Substituting the given coordinates, we have:

|-8 - (-2.5)| = |-2.5 - c|

Simplifying further:

| -8 + 2.5 | = |-2.5 - c|

| -5.5 | = |-2.5 - c|

Since the absolute value of a number is always positive, we can drop the absolute value signs:

5.5 = 2.5 + c

Now we solve for c:

5.5 - 2.5 = c

3 = c

Therefore, the coordinate of c is 3. So, the coordinate of point c is 3.

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Answer:

P+380=312

Step-by-step explanation:

The total, meaning addtion, and equals meaning equals sign. P+380=312

n = 0.9702. Rounding up to the nearest whole number, we get a minimum sample size of n = 1.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

To calculate the minimum sample size needed to estimate the population mean ad price within a specified margin of error, we can use the following formula:

n = ((z*σ)/E)²

Where:

n = sample size

z = the z-score associated with the desired confidence level (in this case, 1.645 for 90% confidence)

σ = population standard deviation (0.6 in this case)

E = the desired margin of error (1 dollar in this case)

Plugging in the values, we get:

n = ((1.645*0.6)/1)²

n = 0.985²

n = 0.9702

Rounding up to the nearest whole number, we get a minimum sample size of n = 1.

Note that this result seems counterintuitive, as it suggests that only one ad needs to be surveyed to estimate the population mean within a dollar with 90% confidence. However, this is because the formula assumes that the population is normally distributed, which may not be the case for ad prices. In practice, it is generally a good idea to survey a larger sample size to ensure more accurate estimates.

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Answer:

It started on the 55th floor.

Step-by-step explanation:

We can work backwards from the 54th floor. Since we are working backwards, if the elevator goes up, we will subtract and if it goes down, we will add. Starting with 54, we get 54 + 5 = 59, then 59 - 9 = 50, then 50 + 2 = 52, then 52 - 6 = 48, then 48 + 14 = 62, then 62 - 7 = 55.

The horizontal asymptote of function f(x) is y=6.5, which is a straight line, which means that even if time is infinite, the pH of the mouth will not rise above 6.5, which is the normal pH of the mouth.

A function's horizontal asymptote is a horizontal line with which the function's graph appears to coincide but does not actually coincide. The horizontal asymptote is used to determine the behavior of the function.

When either lim x f(x) = k or lim x - f(x) = k, the horizontal asymptote of a function y = f(x) is a line y = k. . It is commonly abbreviated as HA. In this case, k is a real number that the function approaches when x is extremely large or extremely small.However, the maximum number of asymptotes that a function can have is 2.

Given,

\(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\)

The horizontal asymptote of the function f(x) can be determined by

\(y=\lim_{x \to \infty} f(x)\\\\=\lim_{x \to \infty}\frac{6.5x^2-89.4x+3734}{x^2+576}\\\\=\lim_{x \to \infty}\frac{x^2(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{x^2(1+\frac{576}{x^2})}\\\\=\lim_{x \to \infty}\frac{(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{(1+\frac{576}{x^2})}\\\\=\frac{(6.5-\frac{89.4}{ \infty}+\frac{3734}{ \infty})}{(1+\frac{576}{ \infty})}\\\\=\frac{6.5-0+0}{1+0}\\\\=\frac{6.5}{1}=6.5\)

Thus, the horizontal asymptote of function f(x) is y=6.5 which is straight line which means even the time reaches infinity the pH of mouth will not increase more than 6.5, which is the normal pH of mouth.

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Your question is incomplete, here is the complete question.

The function \(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\) models the pH level f(x) of a mouth x minutes after eating food containing sugar. The graph of this function is shown.

What is the equation is the horizontal asymptote associated with is function? Describe what this means in terms of mouth's pH level over time.

Answer:

5/12

Step-by-step explanation:

I used an online fraction calculator.

the bottom. 1/23 something it that one

Using trigonometry, the angle of elevation of the top of the building from A is 36.87 degrees

The angle of elevation of the building from A, we can apply the concept of trigonometry;

tan(θ) = opposite/adjacent

tan(θ) = height/180m

Since we're given that the angle of the top of the building is 45 degrees when the man is 180m away from point A, we can set up the equation:

tan(45°) = height/180m

The tangent of 45 degrees is 1, so the equation becomes:

1 = height/180m

Solving for the height:

height = 180m

Using the tangent of the angle;

tan(θ) = height/distance

tan(θ) = 180m/240m

Simplifying:

tan(θ) = 0.75

θ = tan⁻¹(0.75)

θ = 36.87 degrees

Therefore, the angle of elevation of the top of the building from point A is approximately 36.87 degrees.

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Answer:

see explanation

Step-by-step explanation:

in (1) and (2) use the rule of exponents

\(a^{-m}\) = \(\frac{1}{a^{m} }\) , then

(1)

\(H^{-6}\) = \(\frac{1}{H^{6} }\)

(2)

\(N^{-3}\) = \(\frac{1}{N^{3} }\)

question (3) involves expanding a binomial

(B - 4)²

= (B - 4)(B - 4)

each term in the second factor is multiplied by each term in the first factor, that is

B(B - 4) - 4(B - 4) ← distribute both parenthesis

= B² - 4B - 4B + 16 ← collect like terms

= B² - 8B + 16

Answer:36 dad 9 charley

Step-by-step explanation:

Answer:

dad is 36 and charley is 9

Step-by-step explanation:

So the area of the pupil after entering the room is (π(r/2)^2) = (πr^2)/4 and the area of the pupil after entering the room is 4 times smaller than the area of the pupil before entering the room.

a. The area of a circle can be represented by the formula A = πr^2, where A is the area and r is the radius of the circle. The radius of the pupil can change depending on the amount of light entering the eye, so we can represent the radius as a variable, r. Therefore, the polynomial that represents the area of the pupil is A = πr^2.

b. The width of the iris, x, decreases from 4 millimeters to 2 millimeters when you enter a dark room. Since the iris controls the size of the pupil, we can assume that the radius of the pupil also decreases by half when the width of the iris decreases. Therefore, the area of the pupil after entering the room is (πr^2) / 4, where r is the radius of the pupil before entering the room.

So the area of the pupil after entering the room is (π(r/2)^2) = (πr^2)/4.

Therefore the area of the pupil after entering the room is 4 times smaller than the area of the pupil before entering the room.

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√21 is the measure of the height of the cone.

According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.

From the given cone;

Hypotenuse = 5cm

Adjacent = 4/2. = 2cm

Determine the height

h^2 = 5^2 - 2^2

h^2 = 25 - 4

h^2 = 21

Take the square root of both sides

h = √21

Hence the measure of the height of the cone is √21

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The square root √(7 · x - 4) = 2 has a solution for the variable x is 8 / 7.

In this problem, we find a square root whose solution for the variable x has to be found solely by algebra properties. First, write the radical equation:

√(7 · x - 4) = 2

Second, elevate to the square of the expression:

7 · x - 4 = 4

Third, clear the variable x by algebra properties:

7 · x = 8

x = 8 / 7

The solution to the square root is equal to 8 / 7.

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Answer:

C. Print Nothing

Step-by-step explanation:

For those who don't wanna read

Answer:

The program is going to print nothing because the script does not tell it to say anything other than when the grade (x) is greater than 90.

Therefore,the correct option is 3, print nothing

Answer:

Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.

Step-by-step explanation:

Hope this helps!

Answer:

Yes you are correct. It would be one.

Step-by-step explanation:

There are 11 questions worth 5 points and 3 questions worth 15 points.

To find the correct number of questions:

Let, 5-point questions are x and 15 marks questions are y.

The total points are 100 so the other equation will be:

Now, multiply equation (1) by 5 and then subtract it by equation (2) as follows:

Therefore, there are 11 questions worth 5 points and 3 questions worth 15 points.

Now,

So, questions worth 15 marks are 3 then, and questions worth 5 marks will be 14 - 3 that is 11.

Therefore, there are 11 questions worth 5 points and 3 questions worth 15 points.

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Answer:

100°

Step-by-step explanation:

180 - 80 = 100

The line is 180 so you take away what you already know (80) and then you have 100.

Answer:

180 degree (exterior angle ) please follow and like me

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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Answer:

(18.6 x d) x 3 = 55.8d if the X's are multiplication signs

(18.6xd)x3 = 18.6dx4 if the X's are variables

Step-by-step explanation:

A) These two equations form a system of simultaneous equations that we can solve to find the values of p and w.

B) We can use matrix algebra to solve for the variables p and w.

C) The plane's airspeed is 1200 mph and the wind rate is 880 mph.

(a) To transform the problem into simultaneous equations, let's denote the plane's airspeed by "p" and the wind rate by "w". We can use the formula:

distance = rate x time

For the trip from Washington, D.C. to San Francisco, we have:

2400 = (p + w) x 7.5

And for the return trip from San Francisco to Washington, D.C., we have:

2400 = (p - w) x 6

These two equations form a system of simultaneous equations that we can solve to find the values of p and w.

(b) To transform the problem into a matrix equation, we can write the coefficients of the variables p and w as follows:

| 7.5   7.5 |   | p |   | 2400 |

|          | x |   | = |       |

|  6    -6  |   | w |   | 2400 |

Then, we can use matrix algebra to solve for the variables p and w.

(c) To solve for the plane's airspeed and the wind rate, we can use either method (a) or (b). Let's use method (a) here:

2400 = (p + w) x 7.5

2400 = (p - w) x 6

Expanding these equations, we get:

7.5p + 7.5w = 2400

6p - 6w = 2400

We can solve this system of equations by either substitution or elimination. Here, we'll use elimination. Multiplying the second equation by 5 and adding it to the first equation, we get:

7.5p + 7.5w = 2400

30p = 36000

Solving for p, we get:

p = 1200 mph

Substituting this value of p into one of the equations, we can solve for w:

7.5p + 7.5w = 2400

7.5(1200) + 7.5w = 2400

9000 + 7.5w = 2400

7.5w = -6600

w = -880 mph

The negative sign on the wind rate indicates that the wind is blowing from west to east, as stated in the problem. Therefore, the plane's airspeed is 1200 mph and the wind rate is 880 mph.

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Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

The derivative of the given equation is dy/dx = 2x / (y - 2x)

To use implicit differentiation to find dy/dx given 2xy-y^2=3, we need to differentiate both sides of the equation with respect to x, treating y as a function of x.

First, we'll use the product rule to differentiate 2xy:

d/dx (2xy) = 2y + 2x (dy/dx)

Next, we'll use the chain rule to differentiate y^2:

d/dx (y^2) = 2y (dy/dx)

The derivative of the constant term 3 is zero.

Putting it all together, we have:

2y + 2x (dy/dx) - 2y (dy/dx) = 0

Simplifying and solving for dy/dx, we get:

dy/dx = -2xy / (-y^2 + 2xy)

or

dy/dx = 2x / (y - 2x)

Therefore, the derivative of the given equation with respect to x is dy/dx = 2x / (y - 2x), which can be used to find the slope of the tangent line to the curve at any point.

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