which graph has the domain please help im so confused​

Answer:

- 5198/11

Step-by-step explanation:

The correct option is D.

Given:

Equation

x→2 Lim ( x² + 3x + 2) / (x² - x - 6x )

( x² + 3x +2 ) = ( x- 1)(x - 2)

(x^2 - x - 6x ) = (x + 3)(x - 2)

On substituting, We get

x→2 Lim ( x- 1)(x - 2)/(x + 3)(x - 2)

x→2 Lim (2 - 1)/(2 + 3)

                      = 1/5

Therefore, the option B is correct.

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Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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The solution to the given differential equation is \(\(x^2y - y^3 = C\), where \(C\)\)is an arbitrary constant.

To solve the given differential equation \(\( \frac{{dy}}{{dx}} = \frac{{x^2 + 3y^2}}{{2xy}} \)\), we can follow these steps:

Step 1: Multiply both sides of the equation by \(\(2xy\)\) to eliminate the denominator:

\(\(2xy \cdot \frac{{dy}}{{dx}} = x^2 + 3y^2\).\)

Step 2: Rearrange the equation to separate the variables:

\(\(2xy \cdot \frac{{dy}}{{dx}} - 3y^2 = x^2\).\)

Step 3: Rewrite the equation in a suitable form for integration:

\(\(2xy \cdot \frac{{dy}}{{dx}} - 3y^2 - x^2 = 0\).\)

Step 4: Recognize that the left-hand side of the equation resembles the derivative of a function of \(\(x\)\) with respect to \(\(y\):\)

\(\(\frac{{d}}{{dx}}(x^2y - y^3) = 0\).\)

Step 5: Integrate both sides with respect to \(\(x\)\):

\(\(\int \frac{{d}}{{dx}}(x^2y - y^3) \, dx = \int 0 \, dx\).\)

Step 6: Simplify the integration:

\(\(x^2y - y^3 = C\), where \(C\)\) is the constant of integration.

Therefore, the solution to the given differential equation is\(\(x^2y - y^3 = C\), where \(C\)\)is an arbitrary constant.

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EXPLANATION

If the last term of a trinomial is negative, then we know that the factors are of different sign, and if the last term is positive then the factors have the same sign.

The coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).

To find the coordinates of the point on the directed line segment that partitions it into a ratio of 1 to 3, we can use the concept of section formula.

The section formula states that if we have two points A(x₁, y₁) and B(x₂, y₂) dividing a line segment in the ratio of m₁ : m₂, then the coordinates of the dividing point P are given by:

Px = (m₁ * x₂ + m₂ * x₁) / (m₁ + m₂)

Py = (m₁ * y₂ + m₂ * y₁) / (m₁ + m₂)

In this case, the ratio is 1:3, which means m₁ = 1 and m₂ = 3. The given points are A(6, 2) and B(8, -10). Substituting these values into the formula, we can calculate the coordinates of the dividing point P:

Px = (1 * 8 + 3 * 6) / (1 + 3) = 7

Py = (1 * -10 + 3 * 2) / (1 + 3) = -2/2 = -1

Therefore, the coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).

To find the coordinates of the point that divides the line segment between (6, 2) and (8, -10) in a 1:3 ratio, we can use the section formula. Applying the formula, where m₁ is 1 and m₂ is 3, the point P(x, y) can be determined.

By substituting the values into the formula, the x-coordinate is calculated as (1 * 8 + 3 * 6) / (1 + 3) = 7, and the y-coordinate is (1 * -10 + 3 * 2) / (1 + 3) = -1. Thus, the coordinates of the point that partitions the line segment into a ratio of 1 to 3 are (7, -1).

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Answer:

yes because of the side-angle-side theorem

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

to turn -2.5:1 to 5:2

-2 × 5 : 1

just transpose -2 to other side tht is rhs side

when -2 goes to that side it becomes +2 so

5 : 1 × 2

5 : 2

Answer:

x = 14.42

Step-by-step explanation:

\(x^2+9^2=17^2\\x^2+81=289\\x^2=208\\\sqrt{x^2} =\sqrt{208} \\x= 14.42\)

25,200 + 360 + 8 =25,568 seconds times that total by 8 is equal to 204,544 seconds

Answer:

I believe it 56 hours 49 minutes 4 seconds

Step-by-step explanation:

Convert 204,544 into minutes since 60 seconds equals 1 minute. And you would use multiplication.

The value of tan(θ) is approximately 0.88.

To find the value of tan(θ) when the distance from the point (1,0) to the point (0.75, 0.66) along the circumference of the unit circle, we'll first find the angle θ using the given points.

1. Since we're given points on the unit circle, we know their coordinates represent the cosine and sine values, i.e., (cos(θ), sin(θ)) = (0.75, 0.66).

2. Now, we need to find the value of tan(θ), which can be calculated using the formula: tan(θ) = sin(θ) / cos(θ).

3. Plugging in the values we have: tan(θ) = 0.66 / 0.75.

4. Performing the calculation, we get: tan(θ) ≈ 0.88.

5. Therefore, the value of tan(θ) when the distance from the point (1,0) to the point (0.75, 0.66) along the circumference of the unit circle is approximately 0.88.

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Reverse engineer

2*2-3=1

so its 1

Answer: 25

Step-by-step explanation:

From the question, we are informed that the piece of rural land sold ten years ago for 40000 and that the price for the same land this year is $800 more per acre, and it sold for 60000.

The size of the piece of land in acres will then be:

40000 + 800x = 60000

800x = 60000 - 40000

800x = 20000

x = 20000/800

x = 25

The land is 25 acres

Answer: 25

Step-by-step explanation:

40000 + 800x = 60000800x = 60000 - 40000800x = 20000x = 20000/800x = 25

The correct answers are:

a. less a discount to yield 6.20%

d. plus a premium to yield 6.36%

Based on the provided information, the T bills maturing on August 2nd (8-2) are being offered at a bid yield of 6.36% and an ask yield of 6.20%.

To determine whether the T bills are being offered at a discount or a premium, we compare the bid yield and ask yield to the stated yields.

a. To yield 6.20% (ask yield), the T bills are being offered at a discount. Therefore, option a. "less a discount to yield 6.20%" is correct.

b. To yield 6.20%, the T bills are not being offered at a premium. Therefore, option b. "plus a premium to yield 6.20%" is incorrect.

c. To yield 6.36% (bid yield), the T bills are not being offered at a discount. Therefore, option c. "less a discount to yield 6.36%" is incorrect.

d. To yield 6.36%, the T bills are being offered at a premium. Therefore, option d. "plus a premium to yield 6.36%" is correct.

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Answer:

slope = - \(\frac{1}{2}\), y- intercept = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = \(\frac{0-1}{2-0}\) = - \(\frac{1}{2}\)

The y- intercept is the value of y where the graph crosses the y- axis.

y- intercept = 1

Answer:

42¼ in³

Step-by-step explanation:

volume = 6½×2×3¼= 42¼ in³

Answer: C = 50.24m A = 200.96m^2

Step-by-step explanation:

Note that the area is in square meters, as the radius is in meters, and we are squaring the radius when calculating the area.

Answer:

I think it would be 10

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer: The mode is 12 because it is repetitive among the numbers in the set of numbers.

An expression for the difference between their earnings is 2G - G.

In order to write a linear equation to describe this situation, we would assign variables to John's earnings and Grace's earnings respectively, and then translate the word problem into a linear equation as follows:

Since John earns twice as much as his wife Grace, a linear equation that models the situation is given by:

J = 2G

100 = 50

For the difference between their earnings, we have the following:

Difference = J - G

Difference = 2G - G

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(a) The gradient of f with respect to y is ∂f/∂y = x / (x - y)².

(b) The directional derivative D(-1,2)f(4,1) is -1/5.

(c) The slope of the line y = (1/2)x is 1/2. The slope of the gradient vector (2, 2) is

(a) To compute the gradient of f with respect to y, we differentiate f(x, y) with respect to y while treating x as a constant:

∂f/∂y = ∂(x/(x - y))/∂y

Using the quotient rule for differentiation, we have:

∂f/∂y = [(x - y)(0) - x(-1)] / (x - y)²

      = x / (x - y)²

Therefore, the gradient of f with respect to y is ∂f/∂y = x / (x - y)².

(b) The directional derivative D(-1,2)f(4,1) represents the rate of change of f in the direction of the vector (-1, 2) at the point (4, 1). We can calculate it using the dot product of the gradient vector and the unit vector in the direction of (-1, 2):

D(-1,2)f(4,1) = ∇f(4, 1) · (-1/√5, 2/√5)

To find ∇f(4, 1), we need to compute the partial derivatives of f(x, y) with respect to x and y:

∂f/∂x = ∂(x/(x - y))/∂x = (x - y - x(-1))/(x - y)²= -y/(x - y)²

Now, evaluating the gradient vector at (4, 1):

∇f(4, 1) = (-1/√5, 2/√5) · (-1) × (1/25) = (1/√5, -2/√5) × (1/25) = (1/25√5, -2/25√5)

Therefore, the directional derivative D(-1,2)f(4,1) is:

D(-1,2)f(4,1) = ∇f(4, 1) · (-1/√5, 2/√5)

              = (1/25√5, -2/25√5) · (-1/√5, 2/√5)

              = (1/25√5)(-1/√5) + (-2/25√5)(2/√5)

              = -1/25 - 4/25

              = -5/25

              = -1/5

Therefore, the directional derivative D(-1,2)f(4,1) is -1/5.

(c) To determine the line of the level curve f(x, y) = 2, we need to solve the equation f(x, y) = 2:

x/(x - y) = 2

Cross-multiplying, we have:

x = 2(x - y)

Expanding the

x = 2x - 2y

Rearranging terms:

2y = 2x - x

2y = x

This equation represents a line in the form y = (1/2)x. Now, to verify if this line is orthogonal to the gradient at P(2, 1), we compute the gradient at P(2, 1):

∇f(2, 1) = (2/(2 - 1)², 2) = (2, 2)

The slope of the line y = (1/2)x is 1/2. The slope of the gradient vector (2, 2) is

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Answer:

Step-by-step explanation:

590 cal × (1 hr)/(236 cal) = 2.5 hr

The expression that shows Number of vowels in 25 trials is:

(3/8) * 25

Number of vowels in 25 trials is approximately 9 vowels

Number of consonants in his next 30 trials is 19 consonants

The parameters given are:

Number of tiles = 100

Letter of tiles in results = Q, S, A, B, E, S, E, M

Total number of tiles in result = 8

Total vowels = 3

The expression that shows Number of vowels in 25 trials is:

(3/8) * 25 ≅ 9 vowels

Number of consonants in his next 30 trials = (5/8) * 30 = 150/8 ≅ 19

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This equation x + (x + 1) + (x + 2) = negative 21 will be used.

Let the first Number is x.

We have to take 3 consecutive integers.

second Number is x+1

third Number is x+2.

Sum of these 3 consecutive integers is x+(x+1)+(x+2).

Sum of these 3 consecutive integers is given as negative21.

so we can write  x+(x+1)+(x+2)=negative 21.

by using above equation we can find the value of 3 numbers.

So the final equation will be x + (x + 1) + (x + 2) = negative 21.

Given Question is incomplete, Complete Question here:

Three consecutive integers have a sum of –21. Which equation can be used to find the value of the three numbers? x + x + x = negative 21 x + 2 x + 3 x = negative 21 x + (x + 1) + (x + 2) = negative 21 x + (x + 2) + (x + 4) = negative 21

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The purpose of a measure of location is to indicate the center of a distribution of data. This measure helps in understanding the central tendency of the data set and provides important insights into the overall characteristics of the data. Measures of location, such as mean, median, and mode, can be used to summarize large data sets and provide a single value that represents the entire set.

For instance, the mean can be used to find the average value of the data, the median can be used to find the middle value of the data set, and the mode can be used to find the most frequent value in the data set. These measures can also be used to compare different data sets and to identify any trends or patterns.

Values and location are important aspects of measuring location, as they help to provide a clear understanding of the data set. Additionally, values and location can be used to identify any outliers in the data set, which can help in identifying potential errors or anomalies. Ultimately, the purpose of a measure of location is to provide insights into the overall characteristics of the data set, to identify any trends or patterns, and to help in making informed decisions based on the data.

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Answer:

h(8) = 31

Step-by-step explanation:

Substitute x = 8 into h(x) , that is

h(8) = 6(8) - 17 = 48 - 17 = 31

The value of h(8) in h(x)= 6x - 17 is 31

What are functions:

Functions relate input and output. Therefore, a function takes elements from a set (the domain) and relates them to elements in a set (range).

h(x)= 6x - 17

Let's find h(8)

h(8) = 6(8) - 17

h(8) = 48 - 17

h(8) = 31

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we have f(20) - f(10) = 15,011 - y, the difference f(20) - f(10) represents the change in the number of stores between 20 and 10 years since 1987.

To find the change in the number of stores between 20 and 10 years since 1987, we need to calculate the difference in the values of the function f at these two time points.

Given that f(20) = 15,011, we don't have the exact value of f(10). However, we can still determine the change by subtracting f(10) from f(20).

Let's denote f(10) as y. Therefore, we have:

f(20) - f(10) = 15,011 - y

The difference f(20) - f(10) represents the change in the number of stores between 20 and 10 years since 1987. The value of this expression will give us the net increase or decrease in the number of stores during that time period.

Unfortunately, since we don't have the specific value of f(10) or any additional information about the function f,

we cannot determine the exact change in the number of stores between 20 and 10 years since 1987. We would need more information or a specific equation for the function f to calculate the precise change.

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Answer:

4

Step-by-step explanation:

x + 1 = y

3 + 1 = 4

answer needs to be 20 character long so this is filler

Answer:

94 degrees

Step-by-step explanation:

So you set those equations equal to 180 to find x.

14x+10+15x-4= 180

29x+6= 180

29x= 174

x=6

So now that x=6, you plug it in to find the bold angle.

14(6)+10

84+10

= 94

The line integral of F over C has a value of 10368.

To evaluate the line integral of F ⋅ ds over the curve C, we can follow these steps:

a. Convert the line integral F ⋅ ds to an ordinary integral:

The line integral of F ⋅ ds over C can be expressed as the integral of the dot product of F and the tangent vector dr/dt with respect to t:

∫ F ⋅ ds = ∫ F ⋅ (dr/dt) dt

b. Evaluate the integral in part (a):

Given F = (4x, 5%) and C defined by r(t) = (4t, 21%), we need to substitute the components of F and the components of r(t) into the integral:

∫ F ⋅ (dr/dt) dt = ∫ (4x, 5%) ⋅ (4, 21%) dt

                = ∫ (16t, 105%) ⋅ (4, 21%) dt

                = ∫ (64t + 105%) dt

Now, let's evaluate the integral:

∫ (64t + 105%) dt = 32t^2 + 105%t + C

c. Convert the line integral F ⋅ ds to an ordinary integral:

To convert the line integral F ⋅ ds to an ordinary integral, we express the differential ds in terms of dt:

ds = |dr/dt| dt

  = |(4, 21%)| dt

  = √(4^2 + (21%)^2) dt

  = √(16 + 0.21) dt

  = √16.21 dt

Therefore, the line integral F ⋅ ds can be expressed as:

∫ F ⋅ ds = ∫ (32t^2 + 105%t + C) √16.21 dt

The value of the line integral of F over C is 10368.

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