Can someone help me find the answer

Answer:

The definition for the all functions is 86

Answer:

(x + 1)(x + 2) is divisible by 3.

Step-by-step explanation:

Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.

Case 1: r = 1

If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)

= (3k + 2)(3k + 3)

= 3(3k^2 + 5k + 2)

We can see that (x + 1)(x + 2) is divisible by 3.

Case 2: r = 2

If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)

= (3k + 3)(3k + 4)

= 3(3k^2 + 7k + 4)

We can see that (x + 1)(x + 2) is divisible by 3.

Hence, the statement is proven.

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A concept map of forecasting provides a visual representation of the key components and relationships involved in the forecasting process

A concept map of forecasting typically includes nodes or boxes representing different elements such as data analysis, historical data, forecasting models, accuracy evaluation, and decision making. These nodes are interconnected by arrows or lines that indicate the relationships and interactions between the components.

For example, the concept map may show that historical data is used as input for forecasting models, which in turn generate forecasts that are evaluated for accuracy. The concept map can also highlight other factors that influence forecasting, such as market trends, seasonality, and external factors. Overall, the concept map serves as a visual tool to illustrate the interconnectedness and flow of information in the forecasting process.

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Answer: What else? Is that the whole sentence to this story i dont get it?

Step-by-step explanation:

The slope of the tangent line at the point (x,y) is -x/(2y). The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0).

The rate of change of a curve at a certain position is represented by the slope of a tangent line to the curve at that location. In other words, it indicates whether the curve is steep or shallow at that particular location. Calculating the derivative of a function in calculus also requires estimating the slope of a tangent line, which is a crucial step. We may determine the slope of the tangent line and subsequently the derivative of the function at a location by determining the limit of the slope of a secant line as the two points on the line approach closer and closer together.

The equation of the ellipse is x²)/16 +y²/4=1.

We take the derivative of the equation with respect to xto find the slope:

x²/16 + y²/4 = 1

(x²/16)' + (y²/4)' = 1'

2x/16 + 2y/4 * dy/dx = 0

dy/dx = -x/(2y)

When the denominator of 2y equals 0, there are some locations where the slope is not specified. The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0), and all locations on the x-axis between these two points when y = 0, which occurs.

Hence, the slope of the tangent line at the point (x,y) is -x/(2y). The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0).

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Answer:

Step-by-step explanation:

Answer:

50π or you can put 157

Step-by-step explanation:

So, the volume of a cone:

1/3*π*radius²*height

1/3π*25*6

50π

50*3.14 = 157

B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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Given:

Consider the given polynomials are:

\(f(x)=7x^3+x^2-4x+10\)

\(g(x)=x^2-5\)

To find:

The polynomial function rule for \(g(x)+f(x)\).

Solution:

We need to add both functions to get \(g(x)+f(x)\).

\(g(x)+f(x)=(x^2-5)+(7x^3+x^2-4x+10)\)

\(g(x)+f(x)=x^2-5+7x^3+x^2-4x+10\)

On combining like terms, we get

\(g(x)+f(x)=7x^3+(x^2+x^2)-4x+(10-5)\)

\(g(x)+f(x)=7x^3+2x^2-4x+5\)

Therefore, the required function is \(g(x)+f(x)=7x^3+2x^2-4x+5\).

Since the specific values for points and functions are not provided in the question, I will be unable to provide the exact coordinates or values.

5.1 To determine the value of a in the equation of g, you can use the information given in the graph or any additional information provided in the question.

5.2 The coordinates of points A, B, and E can be determined by finding the x-intercepts of the graph of function g. These points will have a y-coordinate of 0 since they lie on the x-axis.

5.3 The coordinates of points C and D can be determined by finding the x-intercept of the graph of function f and the y-intercept of the graph of function g, respectively. These points will have an x-coordinate of 0 since they lie on the y-axis.

5.4 To determine the y-coordinate of point F, you need more information such as the specific turning point of the graph of function g.

5.5 The length of FM can be calculated using the distance formula, which is the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates of the two points.

5.6 To determine the x-coordinate of point S, you need to find the point of intersection of the graphs of functions f and g. This can be done by solving the equation f(x) = g(x) for x.

Without the specific values or additional information, it is not possible to provide exact answers to the questions.

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Answer: Accounting profit=$90,000 and Economic profit loss= $28,500

Step-by-step explanation:

Accounting profit = Total revenue - Explicit costs Accounting profit = ($65 × 4,000) - ($50,000 + $120,000) Accounting profit = $260,000 - $170,000 Accounting profit = $90,000

Economic profit = Total revenue - (Explicit costs + Implicit costs) Economic profit = ($65 × 4,000) - ($50,000 + $120,000 + Forgone interest on savings + Forgone wages) Economic profit = ($65 × 4,000) - [$50,000 + $120,000 + (0.06 x $25,000) + $60,000] Economic profit (loss) = $28,500

Answer:

Y'(-5, 5)

Step-by-step explanation:

To find the coordinates of Y' after the translation, we apply the given rule to the coordinates of point Y(-3, 4).

Using the translation rule (x, y) → (x - 2, y + 1), we can substitute the coordinates of Y(-3, 4) into the rule:

x' = x - 2 = -3 - 2 = -5

y' = y + 1 = 4 + 1 = 5

Therefore, the coordinates of Y' are (-5, 5).

Answer:

x=6

Step-by-step explanation:

Simplifying

x + 15 = 21

Reorder the terms:

15 + x = 21

Solving

15 + x = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + x = 21 + -15

Combine like terms: 15 + -15 = 0

0 + x = 21 + -15

x = 21 + -15

Combine like terms: 21 + -15 = 6

x = 6

Simplifying

x = 6

HOPE THIS HELPS :)

Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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The system of equation 2x + 6y = 10 , x = 8 - 3y has no solution.

System of equation can be solved using different method such as substitution method, elimination method and graphical method.

Let's use substitution method to solve the system of equation as follows:

2x + 6y = 10

x = 8 - 3y

substitute equation(ii) in equation(i)

2(8 - 3y) + 6y = 10

16 - 6y + 6y = 10

16 + 0 = 10

Therefore, the equation has no solution.

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Answer:

Frank is wrong

Step-by-step explanation:

\(6(6) - 1 = 35\)

35 is a multiply by 5 so it is not a prime number.

The first steps is translation while the second transformation is rotation. Therefore the answer is option B. which is a rotation about point H.

Note that there is found to be two rigid transformations that were  used to map ΔHJK to ΔLMN.

Note that the first steps of rigid transformation required to map ΔHJK to ΔLMN are translation and the second is rotation. Therefore, one can say that the correct answer to the question is a rotation about point H

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Answer: B. a rotation about point H

Step-by-step explanation: On Edge!

There are 4 different shapes.

Rectangle 1: area = length x width

Area = 12 x 16 = 192 square units

Rectangle 2 has the same dimensions so 12 x 16 = 192 square units

Triangle : area =‘1/2 x base x height.

Base = 16 height = 12

Area = 1/2 x 16 x 12 = 96 square units

Semi circle: find diameter which would be the hypotenuse of the triangle.

12 ^2 + 16^2 = diameter^2

144 + 256 = d^2

400 =!d^2

Square both sides d = 20

Area of semi circle = 1/2 x pi x r^2

R is half the diameter = 10

Area = 1/2 x 3.14 x 10^2

Area = 157 square units.

Total area is the sum of the 4 shapes:

192 + 192 + 96 + 157 = 637 square units.

Answer:

area of rectangle [A]=l×b=12×16=192unit²

area of another rectangle [B]=l×b=12×16=192unit²

area of triangle [C]=1/2 b×h =1/2 ( 12×16)=96unit²

for circle

diameter =√(12²+16²)=20unit

area of semi circle [D]=1/2(π(d/2)²)

=1/8×π×20²=157.14unit²

the area of the figure :A+B+C+D=192+192+96+157.14=637.14unit²

To construct a confidence interval for the proportion of all Comcast customers who experienced an internet outage in the past month, we can use the formula:

CI = p ± z*sqrt((p*(1-p))/n)

where p is the sample proportion, z is the z-score for the desired confidence level (86%), and n is the sample size.

First, we need to calculate the sample proportion:

p = 19/108 = 0.176

Next, we need to find the z-score for the 86% confidence level. Using a standard normal distribution table or calculator, we find that the z-score is approximately 1.44.

Now we can plug in the values and calculate the confidence interval:

CI = 0.176 ± 1.44*sqrt((0.176*(1-0.176))/108)

CI = 0.176 ± 0.083

CI = (0.093, 0.259)

Therefore, we can say with 86% confidence that the true proportion of all Comcast customers who experienced an internet outage in the past month is between 0.093 and 0.259.

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The vertical line's equation is x = -7, and the horizontal line's equation           Is y = 7.

Where the given coordinate is (--7, 7).

Here,

The value of x, is -7, will never change for a vertical line. This holds true for any y value. As a result, x = -7 is the equation for a vertical line passing through this point.

Similarly, the value of y, is 7, will never change for a horizontal line. This holds true for any x value. As a result, the equation for a horizontal line passing through this point is as follows: y =7

As a result, the vertical line's equation is x = -7 and the horizontal line's equation is y = 7.

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Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

15 ÷ 6 \(\frac{2}{3}\) ( change mixed number to an improper fraction )

= 15 ÷ \(\frac{20}{3}\)

• leave first number

• change division to multiplication

• turn fraction ' upside down '

= 15 × \(\frac{3}{20}\) ( cancel 15 and 20 by 5 )

= 3 × \(\frac{3}{4}\)

= \(\frac{9}{4}\)

= 2 \(\frac{1}{4}\) → B

Each piece of room or house length and width should be inverted to be scaled. For instance, a rectangle measuring 66" by 7" might be used to depict a dresser that is 5' by 2' at a scale of 14" = 1'.

A table that is 4' by 4' would also be 1" by 1" in size. [7] When measuring furniture that isn't square or rectangular, make the smallest square or rectangle the item might possibly fit and then use those dimensions. For instance, to represent a wingback chair that is 2' 6" wide and 2' deep, use a 5/8" by 1" rectangle.

Next, draw a rough outline of the chair inside the rectangle. On a piece of graph paper that is blank, draw the furnishings. Use graph paper without the room's floor plan drawn on it.

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The general solution to the given system of differential equations is \((x(t), y(t)) = (C - 9, -5 + 5Ce^{5t})\), where C is an arbitrary constant.

To find the general solution of the given system of differential equations:

dx/dt = 9x - y

dy/dt = 5x + 5y

Solve these equations simultaneously.

Step 1: Solve the first equation, dx/dt = 9x - y.

To do this,  rearrange the equation as follows:

dx/dt + y = 9x

This is a first-order linear ordinary differential equation. Solve it using an integrating factor. The integrating factor is given by \(e^{\int1 \,dt}= e^t\).

Multiply both sides of the equation by \(e^t\):

\(e^{t}dx/dt + e^t y = 9x e^t\)

Now, notice that the left side is the derivative of the product \(e^t\) x with respect to t:

d/dt \((e^t x)\) = 9x \(e^t\)

Integrating both sides with respect to t:

\(\int{d/dt (e^t x)}\, dt = \int{9x e^t}\, dt\)

\(e^t x = 9 \int{x e^t}\, dt\)

integrating by parts.

\(e^t x = 9 (x e^t - \int{ e^t}\, dx\)

\(e^t x = 9x e^t - 9 \int{e^t}\, dx\)

\(e^t x + 9 \int{ e^t}\, dx = 9x e^t\)

\(e^t x + 9 e^t = C e^t\)  (where C is the constant of integration)

\(x + 9 = C\)

\(x = C - 9\)

Step 2: Solve the second equation,\(dy/dt = 5x + 5y\).

This equation is separable. Rearrange it as:

\(dy/dt - 5y = 5x\)

Multiply both sides by \(e^{(-5t)}\):\(e^{-5t} dy/dt - 5e^{-5t} y = 5x e^{-5t}\)

Again, notice that the left side is the derivative of the product \(e^{(-5t)}y\) with respect to t:

\(d/dt (e^{(-5t)} y)= 5x e^{-5t}\)

Integrating both sides with respect to t:

\(\int{ d/dt (e^{(-5t)} y) dt = ∫ 5x e^{(-5t)} dt\)

\(e^{(-5t)} y = 5 \intx e^{(-5t)} \,dt\)

Adding zero for symmetry

\(e^{-5t} y = 5 (\int x e^{-5t} \,dt + \int 0\, dt)\)

\(e^{-5t} y = 5 (\int x e^{-5t}\, dt + C)\)

\(e^{-5t} y = 5 (\int x e^{-5t}\, dt) + 5C\)

Using substitution: u = -5t, du = -5dt

\(e^{-5t} y = 5 (-\int e^{-5t} \,dx) + 5C\)

\(e^{-5t} y = -5 \int e^u \,dx + 5C\)

\(e^{-5t} y = -5e^u + 5C\)

\(e^{-5t} y = -5e^{-5t} + 5C\)

\(y = -5 + 5Ce^{5t}\)

Combining the results from Step 1 and Step 2, we have:

\(x(t) = C - 9\)

\(y(t) = -5 + 5Ce^{5t}\)

Therefore, the general solution to the given system of differential equations is \((x(t), y(t)) = (C - 9, -5 + 5Ce^{5t})\), where C is an arbitrary constant.

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Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

Step-by-step explanation:

This is a vector addition problem because displacement is a vector

d = √(14² + 11²) = √317 = 17.8

direction of resultant d:

tan⁻1(11/14) = 38.2°  (north of east)

The ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

To determine how far up the side of the house the ladder reaches, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse of a right triangle, with one side being the distance from the base of the ladder to the house (6 feet) and the other side being the vertical distance we want to find. Let's call the vertical distance "x."

Using the Pythagorean theorem, we have:

(6^2) + (x^2) = (18^2)

36 + x^2 = 324

x^2 = 288

Taking the square root of both sides, we get:

x ≈ √288 ≈ 16.97

Therefore, the ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

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An 18-foot extension ladder is placed 6 feet away from a house.  How far up the side of the house does the ladder reach? (Round to the nearest hundredth).

Answer:

The answer is A

Step-by-step explanation:

<RXZ AND <YXZ

Answer:

its a

Step-by-step explanation:

Answer:

4x-y+z=2

Step-by-step explanation:

the answer is simple