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I NEED QUICKLY ANSWER
PLEASE

Step-by-step explanation:

To find the smallest number by which 9408 must be divided so that the quotient is a perfect square, we have to find the prime factors of 9408.

9408 = 2*2*2*2*2*2*3*7*7

Prime factors of 9408 are 2, 2, 2, 2, 2, 2. 3, 7, 7

Out of the prime factors of 9408, only 3 is without pair.

So, 3 is the number by which 9408 must be divided to make the quotient a perfect square.

9408/3 = 3136

Square root of 3136

             56

       _____________

  5   |    3136

  5   |    25

___  |______

106  |      636

  6   |      636

       |_______

       |      000

So, √3136 = 56

Answer.              

Answer: A. 2   B. 2    C. 1/2

Step-by-step explanation:

Hello there!

-4/-2=2 because if we divide a negative by a negative, we get a positive.

-2/-1=2. Keep in mind that a negative number divided by a negative number always equals a positive number

-24/-48=\(\frac{1}{2}\)

Hope this helps you!

~Just a joyful teen

\(SilentNature\)

Answer:

Step-by-step explanation:

The exact values are as follows:
(a) sin(2θ) = -3/5

(b) cos(2θ) = 4/5

(c) sin(θ/2) = -√[(√10 + 3)/10]

(d) cos(θ/2) = √[(√10 - 3)/10]

Given that cotθ = -3 and secθ < 0 for the angle θ, 0 ≤ θ < 2π, we can find the exact values of (a) sin(2θ), (b) cos(2θ), (c) sin(θ/2), and (d) cos(θ/2).

(a) The value of sin(2θ) can be determined using the double angle formula for sine: sin(2θ) = 2sin(θ)cos(θ).

To find sin(θ), we can use the identity sin^2(θ) + cos^2(θ) = 1. Since cotθ = -3, we know that cotθ = cosθ/sinθ = -3.

Squaring both sides of this equation gives cos^2(θ) = 9sin^2(θ).

Substituting this into the identity, we get 9sin^2(θ) + sin^2(θ) = 1.

Solving for sin(θ), we find sin(θ) = 1/√10.

Similarly, we can determine cos(θ) by substituting the value of sin(θ) into the equation cotθ = cosθ/sinθ, giving cos(θ) = -3/√10.

Now, we can substitute these values into the double angle formula to find sin(2θ): sin(2θ) = 2(1/√10)(-3/√10) = -6/10 = -3/5.

(b) To find cos(2θ), we can use the double angle formula for cosine: cos(2θ) = cos^2(θ) - sin^2(θ).

Using the values of sin(θ) and cos(θ) found earlier, we can substitute them into the formula: cos(2θ) = (-3/√10)^2 - (1/√10)^2 = 9/10 - 1/10 = 8/10 = 4/5.

(c) To determine sin(θ/2), we can use the half-angle formula for sine: sin(θ/2) = ±√[(1 - cosθ)/2].

Since secθ < 0, we know that cosθ < 0.

Therefore, sin(θ/2) = -√[(1 - cosθ)/2].

Substituting the value of cosθ = -3/√10, we get

sin(θ/2) = -√[(1 - (-3/√10))/2] = -√[(1 + 3/√10)/2] = -√[(√10 + 3)/10].

(d) Similarly, to find cos(θ/2), we can use the half-angle formula for cosine: cos(θ/2) = ±√[(1 + cosθ)/2].

Since secθ < 0, cosθ < 0, so cos(θ/2) = √[(1 + cosθ)/2].

Substituting the value of cosθ = -3/√10, we get

cos(θ/2) = √[(1 + (-3/√10))/2] = √[(1 - 3/√10)/2] = √[(√10 - 3)/10].

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Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

Answer:

13/24

Step-by-step explanation:

Answer:

13/24

or

0.5416

Answer:

x(x + 2)

Step-by-step explanation:

x² + 2x ← factor out the common factor x from each term

= x(x + 2)

Answer:

Step-by-step explanation:

Hmmm

Step-by-step explanation:

(-2-6)/(3-5)= -8/-2= 4

y+2= 4(x-3)

y+2= 4x-12

y=4x-14

Answer:

y = 4x - 14 or y = 2(x - 7)

Step-by-step explanation:

Finding the slope

Finding the y-intercept

Making the equation using slope-intercept form

Answer:

( B ) lng = 5

Step-by-step explanation:

The required value of the vintage camera in 2027 will be $78.78.

The difference between the final value and the starting value, stated as a percentage, is known as a percentage increase. To put it another way, the starting value is divided by the difference between the final and initial values, which is then multiplied by 100.

The formula for finding the value of an item after n years with an annual interest rate of r is:

V = P * (1 + r/100)ⁿ

Where V is the future value, P is the initial amount (price of camera), r is the annual interest rate (4.2%), and n is the number of years.

Plugging in the values:

V = 60 * (1 + 4.2/100)⁷

V = 60 * 1.042⁷

V = 60 * 1.3129209

V = 78.77752

So the value of the vintage camera in 2027 will be $78.78.

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The correct option regarding the probabilities of the two events when they are independent are given by:

C. The probability of getting a red convertible is 0.10.

If two events, A and B, are independent, the probability of both events happening is the multiplication of the separate probabilities of each event happening, that is.

P(A and B) = P(A) x P(B).

For this problem, the separate probabilities are given by:

Then, for them to be independent, we need that:

P(A and B) = 0.25 x 0.40 = 0.10.

A and B means a red convertible car, hence the correct option is:

C. The probability of getting a red convertible is 0.10.

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As the degrees of freedom increase, the t distribution b. approaches the normal distribution, which is a key assumption in many statistical tests. Understanding this relationship is important for making accurate statistical inferences and drawing valid conclusions from data.

The t distribution is a probability distribution that is commonly used in hypothesis testing. It is similar to the normal distribution but with heavier tails. As the degrees of freedom increase, the t distribution approaches the normal distribution. This means that the shape of the t distribution becomes more and more like the normal distribution as the sample size increases.
The reason for this is that the t distribution is based on the sample mean, which becomes more normally distributed as the sample size increases due to the central limit theorem. As the sample size increases, the standard error of the mean decreases, and the t distribution becomes less spread out and more peaked. This is why we use the t distribution instead of the normal distribution when we have a small sample size.

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Answer: 1/3

Step-by-step explanation: slope is the difference between the y values over the difference of the x values

The slope of the line that passes through A(0,−5) and B(3,−4) will be 1/3.

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope could be positive or negative.

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope m = (-4 + 5)/(3 - 0)

m = 1/3

Hence "The slope of the line that passes through A(0,−5) and B(3,−4) will be 1/3".

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The Walt Disney Company has successfully used related diversification to create value by leveraging its existing brand and intellectual properties to enter new markets and expand its product offerings.

Through related diversification, Disney has been able to extend its brand into various industries such as film, television, theme parks, consumer products, and digital media. By utilizing its well-known characters and franchises like Mickey Mouse, Disney princesses, Marvel superheroes, and Star Wars, Disney has been able to capture the attention and loyalty of consumers across different age groups and demographics.

For example, Disney's acquisition of Marvel Entertainment in 2009 allowed the company to expand its presence in the superhero genre and tap into a vast fan base. This strategic move not only brought in new revenue streams through the production and distribution of Marvel films, but also opened doors for merchandise licensing, theme park attractions, and television shows featuring Marvel characters. Disney's related diversification strategy has helped the company achieve synergies between its various business units, allowing for cross-promotion and cross-selling opportunities.

Furthermore, Disney's related diversification has also enabled it to leverage its technological capabilities and adapt to the changing media landscape. With the launch of its streaming service, Disney+, in 2019, the company capitalized on its vast library of content and created a direct-to-consumer platform to compete in the growing digital entertainment market. This move not only expanded Disney's reach to a global audience but also provided a new avenue for monetization and reduced its reliance on traditional distribution channels.

In summary, Disney's successful use of related diversification has allowed the company to create value by expanding into new markets, capitalizing on its existing brand and intellectual properties, and leveraging its technological capabilities. By strategically entering complementary industries and extending its reach to a diverse consumer base, Disney has been able to generate revenue growth, enhance its competitive position, and build a strong ecosystem of interconnected businesses.

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Answer:

26 m

Step-by-step explanation:

Find what length is needed for fencing by finding the perimeter of the land.

Use the perimeter formula, P = 2l + 2w

Plug in the length and width:

P = 2l + 2w

P = 2(8) + 2(5)

P = 16 + 10

= 26

So, the length of wire needed is 26 m

Answer:

I believe D is the answer

Step-by-step explanation:

how I find the slope it by looking at the y-axis and what hits directly on that line. you can see that 3 hits directly on that line so the b in y=mx+b is three which is your starting point. then you follow the line and see where it hits directly on a point. then count the blocks. remember that it's rise over run so that's y over x. so you go down five and over one. since you go down five it's negative. the negative is only added onto the five not the one. and since it's five over one, you don't need to put the over one, it's just automatically there. hope this helps! good luck!

To find the volume of a cylinder, you can use the formula:

Volume = π * radius^2 * height

Given that the radius is 5ft and the height is 8ft, we can substitute these values into the formula:

Volume = π * (5ft)^2 * 8ft

First, let's calculate the value of the radius squared:

radius^2 = 5ft * 5ft = 25ft^2

Now we can substitute the values into the formula and calculate the volume:

Volume = π * 25ft^2 * 8ft

Using an approximate value of π as 3.14159, we can simplify the equation:

Volume ≈ 3.14159 * 25ft^2 * 8ft

Volume ≈ 628.3185ft^2 * 8ft

Volume ≈ 5026.548ft^3

Therefore, the volume of a cylinder with a radius of 5ft and a height of 8ft is approximately 5026.548 cubic feet.

The formula to find the volume of a cylinder is given by:

In this case, you have a cylinder with a radius of 5 feet and a height of 8 feet. Plugging these values into the formula, we get:

Simplifying further:

Thence, the volume of the cylinder with a radius of 5 feet and a height of 8 feet is 200π cubic feet.

The statement that "If the correlation between the growth of a stock and the growth of the economy as a whole is close to 1, then this would be a good stock to hold during a recession when the economy shrinks" is False.

If the correlation between the growth of a stock and the growth of the economy as a whole is close to 1, then this would not be a good stock to hold during a recession when the economy shrinks. The statement is false.

The correlation can be defined as the statistical relationship between two variables that shows the strength of their association.

A positive correlation is one where the two variables move in the same direction, while a negative correlation is one where the two variables move in opposite directions.

A correlation of +1 indicates a perfect positive correlation, while a correlation of -1 indicates a perfect negative correlation. A correlation of 0 indicates no correlation.

A correlation between 0 and +1 or 0 and -1 indicates a positive or negative correlation, but it is not perfect.

If a stock is positively correlated with the economy, it means that it is affected by the economy's performance. As a result, when the economy grows, the stock grows, and when the economy shrinks, the stock shrinks.

When the economy is in a recession, it is more likely that the stock will be negatively affected. As a result, holding such a stock during a recession when the economy shrinks is not recommended.

Therefore, if the correlation between the growth of a stock and the growth of the economy as a whole is close to 1, then this would not be a good stock to hold during a recession when the economy shrinks. The statement is false.

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(a). The above context-free grammar (CFG) generates the language that has at least five "a's" and any combination of "b's".

(b). The above CFG generates the language {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}.

(c).  it is ambiguous.

(a). Context-free grammar for L₁ = {w = {a, b}*w contains at least five as}:

S → aaaaaA | aaaaS | bS | aA | bA | ε

A → aA | bAb → bB | ε

B → bB | aB | ε

The above CFG generates the language that has at least five "a's" and any combination of "b's".

(b). Context-free grammar for L₂ = {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}:

S → AbC | AcB | BCa | CBa

A → aA | ε

B → bBb

B → bBbBbBb

C → cC | ε

C → cC | ε

The above CFG generates the language {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}.

(c). Yes, the language for b) is inherently ambiguous. It is because there are two variables A and B in the grammar, so the string can be generated in two ways. Thus, it is ambiguous.

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Answer: 4

Step-by-step explanation:

To find if a relation is a function, identify if there is more that one value of y for the same value of x (if there are more than one value for one value of x is not a function)

Ordered pairs (x,y)

1.

x y

1 -2

-2 0

-1 2

1 3

2.

x y

1 1

2 2

3 5

4 10

5 15

Answer:

11. 4

12. 2

13. 2

14. 2

15. 3

Step-by-step explanation:

Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.

To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.

11.

4x³y has degree 4

3x²y² has degree 4

-y³ has degree 3

The highets degree of all terms is 4, so the degree of the polynomial is 4.

12.

a has degree 1

b has degree 1

-c² has degree 2

The degree of the polynomial is 2.

13.

The degrees of the terms are, in order, 2, 2, 2.

The degree of the polynomial is 2.

14.

The degrees of the terms are, in order, 1, 2, 1.

The degree of the polynomial is 2.

15.

The degrees of the terms are, in order, 3, 2, 1.

The degree of the polynomial is 3.

Answer:

x = \(\frac{3}{4}\) = 0.75

Step-by-step explanation:

The graph gives the information of the miles walked.

Riley must walk 7 miles to have only one mile left.

The answer would be 7 miles

The smallest sample size n that provides the desired accuracy is 10.

To find the smallest sample size n that provides the desired accuracy, we can use the formula:

n = (Z-value * standard deviation / margin of error)²

Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)

Substituting the values, we get:

n = (1.96 * 1.5 / 0.3)²
n = 9.8

Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:

n = 10

Therefore, the smallest sample size n that provides the desired accuracy is 10.

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Answer:   700x+1700

This represents the total amount spent over the x weeks that have gone by.

===========================================

Explanation:

x = number of weeks

700x = amount spent over those x weeks ($700 per week)

700x+1700 = total amount spent when adding on the $1700 tv.

------

An example:

Let's say x = 10 weeks have elapsed. He spends $700 a week, so 700x = 700*10 = 7000 dollars have been spent so far if we ignore the tv. Then add on the $1700 tv cost to get 7000+1700 = 8700 dollars total spent.

Then note how 700x+1700 = 700*10+1700 = 8700 matches what we got earlier.

I recommend trying out other values of x to get a better idea of what's going on.

Suki walks approximately 9 km around the circular path of the park. Suki walks on a circular path around a park with a diameter of 3 km. To find out how far she walks, we need to calculate the circumference of the circle.

Circumference which is the distance around the circle.

To calculate the circumference of a circle, we use the formula C = πd, where C is the circumference and d is the diameter. In this case, the diameter is 3 km.

First, we find the value of π, which is approximately 3.14. Then, we multiply the diameter by π to get the circumference:

C = 3.14 * 3 km = 9.42 km. Therefore, Suki walks approximately 9 km around the circular path of the park.

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