what is the greatest commen factor of 392

Answer:

35?

Step-by-step explanation:

We have to find the value of  `(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)`

Let's find all trigonometric ratios:

We can say that:

\($$\tan \theta= \frac{opp}{adj}= \frac{-4}{3}$$$$\text\)

{Using the Pythagorean Theorem we can find the hypotenuse }

\($$$$\text{Hypotenuse = } \sqrt{(-4)^2+(3)^2}\)

\(= \sqrt{16+9}\)

= \(\sqrt{25}\)

=\(5$$$$\)

Substituting the values of sinθ, cosθ and tanθ in `

\(= \frac{\frac{3}{5} + \frac{-4}{5} - \frac{-4}{3}}{\frac{-4}{5} + \frac{5}{3} - \frac{-3}{4}}$$$$\)

\(=\frac{\frac{9}{15} + \frac{-12}{15} + \frac{20}{15}}{\frac{-16}{20} + \frac{25}{12} + \frac{3}{4}}$$$$\)

\(=\frac{\frac{17}{15}}{\frac{-14}{15}}$$$$\)

\(=-\frac{17}{14}$$\)

Therefore, \(`(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)\)` is equal to

`-17/14` when `tanθ=−43` (Quadrant II).

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The sequence that has a common ratio of 2 is option A:

(20, 40, 80, 160, 320, 640, ...).

In this sequence, each term is obtained by multiplying the previous term by 2. Starting with the first term of 20, each subsequent term is double the previous term.

This demonstrates a common ratio of 2. For example, 20 * 2 = 40, 40 * 2 = 80, and so on.

On the other hand, options B, C, and D do not have a common ratio of 2. In option B, the terms are halved at each step.

In option C, the terms are decreased by a fixed value of 5. In option D, the terms are divided by 5 at each step.

Therefore, option A is the only sequence with a common ratio of 2.

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Answer:

A

Step-by-step explanation:

g

\(g(x) = f(x - 2) + 4\)

A function assigns the value. The equation of the function g(x) will be f(x-2)+4.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x) is a function which is shifted two units to the right and 4 units upwards. Therefore, in the function f(x) we need to add -2 to the value of the x for the function to move right, while we need to add 4 to the overall function to move it four units upwards.

Hence, the equation of the function g(x) will be f(x-2)+4.

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a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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Answer

put 1 on top and exo on bottom

Step-by-step explanation:

The area of the wall around the window, represented by the orange rectangle, is 84 square feet.

To find the area of the wall around the window, we need to calculate the area of the outer orange rectangle. The dimensions of the orange rectangle are not provided in the question, so we need to determine them based on the given information. We know the width of the window is 6 feet, but the length of the window is not given. Therefore, we cannot directly calculate the dimensions of the orange rectangle.

However, since the orange rectangle surrounds the blue window rectangle, we can assume that the orange rectangle has the same length as the blue rectangle plus twice the width of the blue rectangle. In this case, the length of the orange rectangle would be (6 + 2(6)) = 18 feet. Now we can calculate the area of the orange rectangle by multiplying its length and width: 18 feet * 6 feet = 108 square feet.

However, we are interested in the area of the wall around the window, not the entire orange rectangle. The area of the window, represented by the blue rectangle, needs to be subtracted from the area of the orange rectangle. As the width of the window is 6 feet, and the length is not given, we cannot determine the exact area of the window. Thus, we cannot subtract it from the orange rectangle's area. Therefore, the area of the wall around the window, or the orange rectangle, remains 108 square feet.

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2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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Answer:

√x-9=4

square on both sides

x-9=4*4

x-9=16

x=16+9

x=25

.

.hope it helps

plz mark as brainliest

\(( {x \sqrt{x} })^{x} = {x}^{x \sqrt{x} } \)

\(\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}\)

Let us first solve for L. H. S.

Substituting the value \(x\:={ \frac{9}{4} } \), we have

➼\(\:( { \frac{9}{4} \sqrt{ \frac{9}{4} } })^{ \frac{9}{4} } \)

➼\( \: ({ \frac{9}{4} \sqrt{ \frac{( {3})^{2} }{( {2})^{2} } } })^{ \frac{9}{4} } \)

➼\( \: ({ \frac{9}{4} \times \frac{3}{2} })^{ \frac{9}{4} } \)

➼\( \: ( { \frac{3 \times 3 \times 3}{2 \times 2 \times 2} })^{ \frac{9}{4} } \)

➼\( \: ({ \frac{ {3}^{3} }{ {2}^{3} } })^{ \frac{9}{4} } \)

➼\( \: ({ \frac{3}{2} })^{ \frac{9 \times 3}{4} } \)

➼\( \: ({ \frac{3}{2} })^{ \frac{27}{4} } \)

Now let us find R. H. S.

➺\(\: {x}^{x \sqrt{x} } \)

➺\(\: { \frac{9}{4} }^{ \frac{9}{4} \sqrt{ \frac{9}{4} } } \)

➺\( \: ( { \frac{ {3}^{2} }{ {2}^{2} } })^{ \frac{9}{4} \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } } } \)

➺\( \: ({ \frac{3}{2} })^{ 2 \times \frac{9}{4} \times \frac{3}{2} } \)

➺\( \: { \frac{3}{2} }^{ \frac{54}{8} } \)

➺\( \: ( { \frac{3}{2} })^{ \frac{27}{4} } \)

Since L. H. S = R. H. S

➝\( \: ({ \frac{3}{2} })^{ \frac{27}{4} } =( { \frac{3}{2} })^{ \frac{27}{4} } \)

\(\boxed{Hence\:proved.}\) ✔

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

EXPLANATION

Since we have the function:

Vertical asymptotes:

Taking the denominator and comparing to zero:

The following points are undefined:

Therefore, the vertical asymptote is at x=-5

Horizontal asymptotes:

In conclusion:

The power series for the function `f(x) = 2/(3x^2)`, centered at `c=3` is given by:`f(x) = 2/27 - 4/243(x-3) + 1/81(x-3)² - 4/243(x-3)³ + ...`

Given the function `f(x) = 2/(3x^2)` and `c=3`.

We are to find the power series for the given function centered at c.

Now, we know that the power series representation for `f(x)` is given by:`

f(x) = ∑(n=0 to ∞) cn (x-c)n`Where `cn = fⁿ(c)/n!`

We will first differentiate the function `f(x)` n times and then substitute `x=c`.`f(x) = 2/(3x²)``f'(x) = -4/(9x³)``f''(x) = 24/(81x^4)``f'''(x) = -96/(243x^5)`

Now, we will substitute `x=3` in the above expressions.

`f(3) = 2/(3(3²))

= 2/27``f'(3)

= -4/(9(3³))

= -4/243``f''(3)

= 24/(81(3^4))

= 8/243``f'''(3)

= -96/(243(3^5))

= -32/243`

Hence, the coefficients `cn` are:`

c₀ = f(3)/0!

= 2/27``c₁

= f'(3)/1!

= -4/243``c₂

= f''(3)/2!

= 8/(2*243)

= 1/81``c₃

= f'''(3)/3!

= -32/(3*243)

= -4/243

`Therefore, the power series representation of `f(x)` is given by:`f(x) = ∑(n=0 to ∞) cn (x-c)n``f(x) = c₀ + c₁(x-c) + c₂(x-c)² + c₃(x-c)³ + ...``f(x) = 2/27 - 4/243(x-3) + 1/81(x-3)² - 4/243(x-3)³ + ...`

Hence, the power series for the function `f(x) = 2/(3x^2)`, centered at `c=3` is given by:`f(x) = 2/27 - 4/243(x-3) + 1/81(x-3)² - 4/243(x-3)³ + ...`

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The statement "complex statistics will impress those who are less knowledgeable" is not a valid reason to study statistics as it does not contribute to the practical applications of statistics in various fields.

The following are reasons to study statistics:
1. Data is collected everywhere, and statistical analysis is needed to translate that data into useful information.
2. Statistics are used to make personal and professional decisions.
3. Statistical knowledge is needed to understand the world and be conversant in your career.
Here are the reasons to study statistics based on the given options:
4 Data is collected everywhere, and statistics is needed to translate that data into useful information.
5. Statistics are used to make personal and professional decisions.
6. Statistical knowledge is needed to understand the world and be conversant in your career.

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For the given figure, where m and nare relatively prime positive integers. The value of m+n is 32.

The law of cosines, also known as the law of cosines, relates all three sides of a triangle to one angle of the triangle. Most useful for searching for missing information in triangles. For example, if you know all three sides of a triangle, you can use the law of cosines to find the measure of the angle. Similarly, if you know two sides and the angle between them, you can find the length of the third side by the law of cosines.

Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.

Since the radius of B is 3, AX = 4.

Assume AE = p.

Then EX and EY are radii of circle E and have length 4 + p.

AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.

Using the Law of Cosines on Δ CAE, we obtain

(6+p)² =p² + 64 - 2(8)(p) cos 60

The 2 and the cos 60 terms cancel out:

p² + 12p + 36 = p² + 64 - 8p

12p+ 36 = 64 - 8p

p = 28/20

= 7/5

The radius of circle E is 4 + (7/5)

= 27/5,

So, the answer is 27 + 5 = 32

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The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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If m∠AOB = (3x − 6)° and m∠BOD = (5x + 14)° in this pizza, the value of x is equal to: B. 21.5.

In Mathematics, a supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.

Mathematically, a supplementary angle can be calculated by using this formula:

X + Y = 180

Where:

X and Y are measure of the angles subtended.

Generally speaking, we know that an entire pizza is circular in shape with an angular measure of 360°. This ultimately implies that, one-half of an entire pizza is equal to 180°, which means m∠AOB and m∠BOD are supplementary angles.

Substituting the given parameters into the formula, we have;

m∠AOB + m∠BOD = 180

3x − 6 + 5x + 14 = 180

8x + 8 = 180

8x = 180 - 8

8x = 172

x = 172/8

x = 21.5.

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Answer:

Step-by-step explanation:

B) 21.5

Answer:

is 7.5 hope i help

Step-by-step explanation:

u put them in order from least to greatest

1 , 4, 6, 9, 15, 19

then  take out one number from each side after that u are left with 6 and 9 and whats in the middle of does two numbers ? well u just estimate and it might be 7.5

The measurement which is closest to the area of the shaded region of the figure in square centimeters =  24.24 cm²

The correct answer is an option (C)

Here, the diameter of the circle is 8 cm

So, the radius of the circle would be,

r = d/2

r = 8/2

r = 4 cm

Using the formula of area of circle, the area of the described circle would be,

A₁ = π × r²

A₁ = π × 4²

A₁ = 16 × π

A₁ = 50.27 cm²

Also, the square has a measure of 5 cm

Using the formula for the area of square,

A₂ = side²

A₂ = 5²

A₂ = 25 cm²

The area of the shaded region would be,

A = A₁ - A₂

A = 50.27 - 25

A = 25.27  cm²

Therefore, the correct answer is an option (C)

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The complete question is:

The figure shown was created by placing the vertices of a square on thecircle. Use the ruler provided to measure the dimensions of the square and the circle to the nearest centimeter.Which measurement is closest to the area of the shaded region of the figure in square centimeters?

(The diameter of the circle is approximately 8 cm and the square has a measure of approx. 5 cm.)

A. 17.6cm squared

B. 265.0cm squared

C. 24.24 cm squared

D. 127.5cm squared

Answer:

32 units

Step-by-step explanation:

∠LON = 2(∠LMN) = 2(60°) = 120°

120°/360° = 1/3

length of minor arc LN = (1/3)(96) = 32 units

Answer:

Step-by-step explanation:

Answer:

Slope:  

3 /5

y-intercept:  

− 6

Step-by-step explanation:

Answer:

y ≤ –6x + 21

Step-by-step explanation:

Answer:

6.50x + 3.99

Step-by-step explanation:

Every order of sweat shirts is charged $3.99

Each individual sweatshirt costs $6.50 therefore x being the number purchased times $6.50 is the cost of the sweatshirts that plus the 3.99 is your total cost.

Answer:

x=52

I think it is the answer

Step by step solution is above

Answer:

If it's zero it's neither of them because zero is not a number to multiply with because it will always be zero when multiplying with zero

Answer:

ygftyhhhhgffyujhhgyjjjhhguj

The value of t(2) from the table given which is the temperature recorded 2 hours after midnight is 39.

Given that t is a function of h, t(h).

This means that h is the input while t is the output.

The value of t(2) is the temperature that was recorded 2 hours after midnight yesterday.

From the table given as shown in the image attached below, after 2 hours past midnight yesterday, the temperature that was recorded was 39 degrees Fahrenheit.

This means that, the value of t(2) = 39.

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Answer:

3+4

Step-by-step explanation:

cuz they are separated by a plus sign