what is 23/24 divided by 18/14​

Answer:

the answer for your question is 1200pi

If 4,000 people attended the park on a given day, the estimated range is D. 19,200 to 30,800 total hours spent in the park.

The range is the difference between the maximum and the minimum value in a data set.

The range can also represent the minimum (lowest) value up to the maximum (largest) value.

We can find the range by adding or subtracting the margin of error from the mean or middle value.

Average time spent at the park by 500 attendees = 6.25 hours

The margin of error = ±1.45 hours

Given 4,000 attendees, the lower range of time spent by all attendees = 19,200 hours [4,000 x (6.25 - 1.45)]

The upper range of time spent by all attendees = 30,800 hours [4,000 x (6.25 + 1.45)]

Thus, we can conclude that the total hours the 4,000 attendees spent in the park range from 19,200 to 30,800 hours.

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The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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The equations for the inverses are: 1.) y = (x - 3) / -8  (2.) y = (3x + 15) / 2  (3.)y = 2x - 20  (4.)y = √x + 3

To find the inverse of each given relation, we need to interchange the roles of x and y and solve for the new y. Let's go through each relation one by one:

1.) y = -8x + 3:

Interchanging x and y, we have x = -8y + 3. Now, let's solve for y:

x - 3 = -8y

y = (x - 3) / -8

Therefore, the equation for the inverse of y = -8x + 3 is y = (x - 3) / -8.

2.) y = 2/3x - 5:

Interchanging x and y, we have x = 2/3y - 5. Now, let's solve for y:

3x = 2y - 15

2y = 3x + 15

y = (3x + 15) / 2

The equation for the inverse of y = 2/3x - 5 is y = (3x + 15) / 2.

3.) y = 1/2x + 10:

Interchanging x and y, we have x = 1/2y + 10. Solving for y:

2x = y + 20

y = 2x - 20

The equation for the inverse of y = 1/2x + 10 is y = 2x - 20.

4.) \(y = (x - 3)^2:\)

Interchanging x and y, we have\(x = (y - 3)^2\). Solving for y:

√x = y - 3

y = √x + 3

The equation for the inverse of\(y = (x - 3)^2\) is y = √x + 3.

In summary, the equations for the inverses are:

1.) y = (x - 3) / -8

2.)y = (3x + 15) / 2

3.)y = 2x - 20

4.)y = √x + 3

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Using greatest common factor (GCF), Josh can make 6 identical get-well-soon kits.

The greatest common factor (GCF) of a set of numbers is defined as the largest common positive integer that divides each number into equal parts with zero remainder.

If Josh has to distribute 12 cans of chicken soup and 18 boxes of tissue to make identical get-well-soon kits with no material left over, solve the amount of kits he could make by solving the GCF of 12 and 18.

List down the factors of each number.

12 : 1, 2, 3, 4, 6, 12

18 : 1, 2, 3, 6, 9, 18

Common factors : 1, 2, 3, 6

Greatest Common Factor : 6

Hence, without any left over material, Josh can make 6 identical kits.

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Answer: acute and isosceles

Step-by-step explanation:

Answer:

acute and isosceles

Step-by-step explanation:

because obtuse means veryy wide and this triangle has small corners and is and isosceles (pleases give me a brainly)! hoped this helped!! :)

Answer:

16.6666666666667%

Step-by-step explanation:

17/102 = x/100

17*100/102 = x

x = 16.66666667

Answer:

The percent is:

16.667%

Step-by-step explanation:

17 / 102 = 0.16667

0.16667 * 100 = 16.667%

The average height for a 15-year-old male in the United States is roughly 5 feet, 7 inches, according to the Centers for Disease Control and Prevention (CDC) growth charts (170 cm). Some 15-year-old guys may be shorter or taller than usual.

Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.

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The mass of the original sample of phosphorus-32 was approximately 717.7 grams.

To solve this problem, we can use the radioactive decay formula:

A = Ao * 2^(-t/h)

Where:

A = resulting amount after time t

Ao = initial amount (at t=0)

t = time

h = half-life of the substance

In this case, we are given that the half-life of phosphorus-32 is 14.28 days. We want to find the initial mass, represented by Ao.

After approximately 57 days, 55 g of phosphorus-32 remain unchanged. Let's plug these values into the equation:

55 = Ao * 2^(-57/14.28)

To solve for Ao, we can isolate it by dividing both sides of the equation by 2^(-57/14.28):

55 / 2^(-57/14.28) = Ao

Using a calculator to evaluate 2^(-57/14.28), we find that it is approximately 0.07666.

Therefore, the initial mass, Ao, is:

Ao = 55 / 0.07666 ≈ 717.7 g

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Answer:

171

Step-by-step explanation:

180×95/100

180×95=17100

17100/100=171.

That is how I got my answer.

Answer:

a) For 460 minutes of calling.

b) This would cost 87,4 dollar.

Step-by-step explanation:

a) x= the amount of calling in minutes

=> 23+0,14x=0,19x

<=> 23=0,05x

<=> 460=x

b) 0,19.460=87,4

We cannot express the vector field (4x + 5y, 3x + 2y, 0) as the sum of a curl-free vector field and a divergence-free vector field, as it does not satisfy the properties of being curl-free or divergence-free.

to express the vector field (4x + 5y, 3x + 2y, 0) as the sum of a curl-free vector field and a divergence-free vector field, we need to find vector fields that satisfy the properties of being curl-free and divergence-free.

a vector field is curl-free if its curl is zero, and it is divergence-free if its divergence is zero.

let's start by finding the curl of the given vector field:

curl(f) = ∇ × f,

where f = (4x + 5y, 3x + 2y, 0).

taking the curl, we have:

curl(f) = (0, 0, ∂(3x + 2y)/∂x - ∂(4x + 5y)/∂y)        = (0, 0, 3 - 5)

       = (0, 0, -2).

since the z-component of the curl is non-zero, the given vector field is not curl-free.

next, let's find the divergence of the given vector field:

divergence(f) = ∇ · f,

where f = (4x + 5y, 3x + 2y, 0).

taking the divergence, we have:

divergence(f) = ∂(4x + 5y)/∂x + ∂(3x + 2y)/∂y + ∂0/∂z

            = 4 + 2             = 6.

since the divergence is non-zero, the given vector field is not divergence-free.

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9514 1404 393

Answer:

  60 meters

Step-by-step explanation:

The area of Square B is the difference of the areas of squares C and A, so is 225 square meters. The side length is √225 = 15 meters, so the sum of the lengths of the four sides is 4·15 = 60 meters.

The perimeter of square B is 60 meters.

Answer:

(-5,2)

Step-by-step explanation:

i think the picture isn't that good

Answer:

I believe it is \(-\frac{5}{2}\)

Step-by-step explanation:

Hope this helps!

The solution to the given differential equation, x²y'' + xy' - y = ln(x), using variation of parameters is: y(x) = C₁x + C₂x ln(x) + x ln²(x)/2,

where C₁ and C₂ are constants.

To solve the differential equation using variation of parameters, we first find the solutions to the homogeneous equation x²y'' + xy' - y = 0. Let's denote these solutions as y₁(x) and y₂(x).

Next, we find the Wronskian W(x) = y₁(x)y₂'(x) - y₁'(x)y₂(x) and calculate the integrating factors u₁(x) = -∫(y₂(x)ln(x))/W(x) dx and u₂(x) = ∫(y₁(x)ln(x))/W(x) dx.

Using these integrating factors, we can determine the particular solution yₚ(x) = -y₁(x)∫(y₂(x)ln(x))/W(x) dx + y₂(x)∫(y₁(x)ln(x))/W(x) dx.

Finally, the general solution is given by y(x) = yₕ(x) + yₚ(x), where yₕ(x) is the general solution to the homogeneous equation.

Solving the homogeneous equation x²y'' + xy' - y = 0 gives the solutions y₁(x) = x and y₂(x) = x ln(x).

After calculating the Wronskian W(x) = x² ln(x), we obtain the integrating factors u₁(x) = -ln(x)/2 and u₂(x) = -x/2.

Plugging these values into the particular solution formula, we find yₚ(x) = C₁x + C₂x ln(x) + x ln²(x)/2.

Hence, the general solution is y(x) = C₁x + C₂x ln(x) + x ln²(x)/2, where C₁ and C₂ are arbitrary constants.

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Answer:

{-9, -3, 0, 5, 7}

Step-by-step explanation:

Well, you already have the relation of the function. The domain of a function are its x coordinates and the range are all the y coordinates:

0, -3, -9, 5, 7

We write them in ascending order:

-9, -3, 0, 5, 7

And this way we get the range

It is important to check if the coordinates you are given can form a function. In this case they do, but in other cases they might not.

If you have coordinates where for example there are two equal values of x but the y is different in both, for example (1, 2) and (1, 5), this cannot be a function because y can be on two possible destinations for the same value of x.

5 / 7

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Answer: 5/7

Step-by-step explanation:

Using the slope formula= \(\frac{y_2 -y_1}{x_2-x_1}\)

where (x1= -3, y1= 3); (x2= 4, y2=8)

\(\frac{8-3}{4-(-3)}\)

=\(\frac{5}{7}\)

The slope is 5/7

There might be an extra step but this is what I think it is

Answer:

A. Perimeter

B. Sides

D. Area

Step-by-step explanation:

Suppose a triangle ABC has sides each of length a

formula:

The altitude of the triangle h equal to :

\(h=\frac{\sqrt{3}}{2} a\)

________

Perimeter:

Let’s P be the perimeter of the triangle ABC then P = 3a

\(\frac{P}{h}=\frac{3 a}{\frac{\sqrt{3}}{2} a}=\frac{3}{\frac{\sqrt{3}}{2}}=2 \frac{3}{\sqrt{3}}=2 \sqrt{3}\)

P/h is a constant then The perimeter has a proportional relationship to the altitude

______

Sides :

\(\frac{h}{a}=\frac{\frac{\sqrt{3}}{2} a}{a}=\frac{\sqrt{3}}{2}\)

h/a is a constant then The side has a proportional relationship to the altitude

______

Area :

Let A be the area of the triangle

\(\frac{A}{h}=\frac{a \times h}{h}=a\)

A/h is a constant then The area has a proportional relationship to the altitude

_____

Angles :

The measure Of each angle of an equilateral triangle is always equal to 60°

60/h is not a constant then there is no proportional relationship

______

Vertices:

The vertices are points and not numbers so there is no proportional relationship.

the compositions are:

f∘f: 4n + 3

g∘g: 9n - 4

f∘g: 6n - 1

g∘f: 6n + 2

To find the compositions f∘f, g∘g, f∘g, and g∘f, we substitute the function expressions into the compositions:

1. f∘f:

(f∘f)(n) = f(f(n))

= f(2n+1)

= 2(2n+1) + 1

= 4n + 2 + 1

= 4n + 3

So, (f∘f)(n) = 4n + 3.

2. g∘g:

(g∘g)(n) = g(g(n))

= g(3n-1)

= 3(3n-1) - 1

= 9n - 3 - 1

= 9n - 4

So, (g∘g)(n) = 9n - 4.

3. f∘g:

(f∘g)(n) = f(g(n))

= f(3n-1)

= 2(3n-1) + 1

= 6n - 2 + 1

= 6n - 1

So, (f∘g)(n) = 6n - 1.

4. g∘f:

(g∘f)(n) = g(f(n))

= g(2n+1)

= 3(2n+1) - 1

= 6n + 3 - 1

= 6n + 2

So, (g∘f)(n) = 6n + 2.

Therefore, the compositions are:

- f∘f: 4n + 3

- g∘g: 9n - 4

- f∘g: 6n - 1

- g∘f: 6n + 2

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The  extraneous solution of the equation is as follows:

y = -4 or y = 2

Let's find the extraneous solution of the equation as follows:

1 - y = √2y² - 7

square both sides of the equation

(1 - y)² = (√2y² - 7)²

(1 - y)(1 - y) = 2y² - 7

Open the bracket of the left side of the equation

Hence,

1 - y - y + y² = 2y² - 7

1 - 2y + y² = 2y² - 7

y² - 2y + 1 = 2y² - 7

2y² - y²  + 2y  - 7 - 1 = 0

y² + 2y - 8 = 0

y² - 2y + 4y - 8 = 0

y(y - 2) + 4(y - 2) = 0

(y + 4)(y - 2) = 0

y = -4 or y = 2

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Answer:

The transformed points of the triangle ABC are \(A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)\), \(B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)\), \(C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)\)

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

\(A' (x,y) = \frac{1}{2}\cdot (1,1)\)

\(A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)\)

\(B' (x,y) = \frac{1}{2}\cdot (9,1)\)

\(B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)\)

\(C'(x,y) = \frac{1}{2}\cdot (1,9)\)

\(C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)\)

By applying the maximum modulus principle, we found that the maximum value of 2i(z²) + 3 on the set of complex numbers whose modulus is less than or equal to 1 is √13.

Let's start by expressing the given function in terms of z. We have:

f(z) = 2i(z²) + 3

Now, let's consider the modulus of f(z):

|f(z)| = |2i(z²) + 3|

According to the maximum modulus principle, the maximum value of |f(z)| occurs on the boundary of the given domain, which is the circle of radius 1 centered at the origin in the complex plane.

In order to find the maximum value, we need to evaluate |f(z)| on the boundary of the circle |z| = 1.

Let's substitute z = 1 into f(z):

f(1) = 2i(1²) + 3

= 2i + 3

Taking the modulus of f(1):

|f(1)| = |2i + 3|

To find the maximum value, we need to determine the magnitude of the complex number 2i + 3. The modulus (or magnitude) of a complex number a + bi, denoted as |a + bi|, is given by:

|a + bi| = √(a² + b²)

For the complex number 2i + 3, we have:

|2i + 3| = √(2² + 3²)

= √(4 + 9)

= √13

Therefore, the maximum value of |f(z)| occurs at |z| = 1 and is equal to √13.

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The number of cans that can be recycled in 16 days, written in scientific notation is 2.6 x 10⁹.

The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5x 10¹².

Given to us

Average 113,204 aluminum cans are recycled in a minute.

Firstly, in order to find the number of cans that can be recycled in 16 days, we need to find the number of minutes in 16 days. we know that 1 day has 24 hours where each hour has 60 minutes. therefore,

Number of minutes in 16 days = 16 x 24 x 60

Number of minutes in 16 days = 23,040 minutes

As it is given that on an average 113,204 number of cans can be recycled in a minute, therefore,

Total number of can that can be recycled = 113,204 x 23,040

                                                                      = 2,608,220,160

                                                                       = 2.6 x 10⁹

Hence, the number of cans that can be recycled in 16 days, written in scientific notation is 2.6 x 10⁹.

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In a normal distribution, the mean represents the center of the distribution and the standard deviation represents the spread of the distribution.

The higher the standard deviation, the more spread out the data is. The probability of a specific outcome occurring is given by the area under the curve of the normal distribution that corresponds to that outcome.

For example, if we wanted to find the probability of x being between 45 and 55, we would find the area under the normal curve between those two values. This can be done using a table of standard normal probabilities or by using a calculator or statistical software.

In general, if we know the mean and standard deviation of a normally distributed random variable, we can use that information to find probabilities for specific outcomes or ranges of outcomes.

you'll need to provide a specific range or value of X. Once you have that, you can use the Z-score formula or a standard normal distribution table to determine the probability.

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Gender and ethnicity are categorical variables and therefore, the standard deviation cannot be calculated for variables.

The standard deviation is a measure of the spread or dispersion of the data around the mean. In other words, it tells us how far each data point in a set is from the average of the set.

When we analyze data, it's important to understand how much variation there is in the data, and the standard deviation is one way to do this.

When it comes to the three dependent variables in the data set (gender, age, and ethnicity), it is important to understand that the standard deviation is only calculated for numerical data.

However, age is a numerical variable, and the standard deviation can be calculated for it.

To find the standard deviation of the ages, we need to first find the mean of the ages and then subtract each age value from the mean and square the result.

Next, we add up all the squared deviations and divide by the number of ages minus one. Finally, we take the square root of the result, and that gives us the standard deviation of the ages in the data set.

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Two squares are chosen at random on a chessboard. The probability that they have a side in common is 1/18. Which is an option (C).

A chessboard is an 8x8 checkerboard with 64 squares of alternating colors, which are typically black and white, or dark and light-colored.

The board has eight horizontal ranks and eight vertical files. Chess pieces are placed on the chessboard, and their movements across the board are controlled by the rules of the game.

A chessboard has 8 rows and 8 columns, making a total of 64 squares. The total number of ways to choose two squares is \(64\choose2\) = 2016.

There are two ways that two squares can have a side in common: they can be in the same row or the same column. If they are in the same row, there are 8 rows and 7 ways to choose two adjacent squares in each row, for a total of 8 * 7 = 56 ways. If they are in the same column, there are also 56 ways.

So the total number of ways to choose two squares with a side in common is 56 + 56 = 112.

Therefore, the probability that two randomly chosen squares have a side in common is 112/2016 = 1/18. Hence, the correct option is (C).

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Answer: 35.2 Inches

Step-by-step explanation: In the question it states that the tail is 64% of the length of the monkey so what you do is multiply 55 by 65% and there's your answer.

Answer:

35.2

Step-by-step explanation:

the tail is 64% so to get 64% of 55 just multilpy 55 by .64 or the percentage in decimal form (.64)

From the data points given the linear equation in slope-intercept form is y = -1/2x + 4.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first two data points are - (-3,5.5) and (-1,4.5)

The slope-intercept form of the equation is -

y = mx + b

m represents the slope of the linear equation.

To find the value of m use the formula -

(y2 - y1)/(x2 - x1)

Substitute the values into the equation -

(4.5 - 5.5)/[(-1) - (-3)]

Use the arithmetic operation of subtraction -

(-1)/(-1 + 3)

-1 / 2

So, the slope m is m = -1/2

Now, the equation becomes y = -1/2x + b

To find the value of b substitute the  values of x and y in the equation -

5.5 = -1/2(-3) + b

5.5 = 3/2 + b

5.5 = 1.5 + b

b = 5.5 - 1.5

b = 4

So, now the equation becomes - y = -1/2x + 4

The graph for the equation is plotted.

Therefore, the equation is y = -1/2x + 4.

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The perimeter of the floor on the scale drawing, in inches, is given as follows:

26 inches.

The perimeter of a rectangle of length l and width w is given by the equation presented as follows:

P = 2(l + w).

The scale is a proportion between the length in the drawing and the actual length of the rectangle.

For the scale, the length of 30 feet is represented by the length of 6 inches, hence the width of 35 feet is represented as follows:

35/5 = 7 feet.

Then the dimensions in inches are given as follows:

l = 6, w = 7.

Meaning that the perimeter of the rectangle is calculated as follows:

P = 2(6 + 7) = 2 x 13 = 26 inches.

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