find the nth term of a sequence starting with 8, 20, 36,56,80

Answer:

112

Step-by-step explanation:

Delilah is correct; it is

Here, we want to check who was right

Mathematically, we can dilate a figure by reduction or enlargement by the use of a specific scale factor

When the scale factor is less than 1, it is a reduction

However, if the scale factor is greater than 1, it is an enlargement

The original point is (x,y)

From the image coordinates given, we see that the scale factor is 6/5 which is greater than 1

Thus, the dilation is an enlargement and Delilah was right

The value of the quadratic function f(x) = 4x² - 1 at x = 1 will be 3.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic function is given below.

f(x) = 4x² - 1

At x = 1, then the value of the function will be given as,

f(1) = 4(1)² - 1

f(1) = 4 - 1

f(1) = 3

The value of the quadratic function f(x) = 4x² - 1 at x = 1 will be 3.

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Answer:

y=-2x-20y=−2x−20

Step-by-step explanation:

best models the line of best fit for the data

Answer:

C

Step-by-step explanation:

The just noticeable difference for an 80-ounce weight is 8 ounces.

Given that :

The just noticeable difference for a 10-ounce weight is 1 ounce.

We have to find the just noticeable difference for an 80-ounce weight.

Using proportional concept :

The 10-ounce weight corresponds to 1 ounce.

The 1-ounce weight corresponds to 1/10 ounce.

So, for an 80-ounce weight :

Corresponding just noticeable difference is :

80 × 1/10 = 8 ounces.

Hence the just noticeable difference for an 80-ounce weight would be 8 ounces.

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Answer:

hold up

Step-by-step explanation:

عد اس مراس whats this mean??

Answer:it will be c

Step-by-step explanation:

9514 1404 393

Answer:

  C.  7.1

Step-by-step explanation:

The distance is found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((1-(-6))² +(1-2)²) = √(7² +(-1)²) = √50

  d ≈ 7.07107 ≈ 7.1 . . . . . matches choice C

The exact length of the curve is 549.15 units, for parameters x = 8 6t2, y = 5 4t3, 0 ≤ t ≤ 5 using derivative & integration.

The curve has the parametric equations

x = 8 6t² and

y = 5 4t³,

where 0 ≤ t ≤ 5.

Step 1: Find the derivative of x with respect to t

dx/dt = 96t

Step 2: Find the derivative of y with respect to t

dy/dt = 60t²

Step 3: Calculate the integrand

\(\sqrt{[(dx/dt)² + (dy/dt)²]}\)

Substitute the expressions for dx/dt and dy/dt and

=`\(\sqrt{[(96t)² + (60t²)²] }\)

= \(\sqrt{[9216t² + 3600t^4]}\)

`Step 4: Integrate with respect to t, from `0` to `5`:

\(\int_0^5\ \sqrt(9216t^2+3600t^4)dt\\\\225/4\int_0^5\sqrt36t^2+25t^4]dt\)

Use the substitution `u = t²` and `du/dt = 2t`.

The limits of integration change to `u = 0` when `t = 0` and `u = 25` when `t = 5`.

Then, the integral becomes:

=225/4 int_0⁵ \(\sqrt{[36t^2 + 25t^4]} dt\)

= 225/4 int_0²⁵ \(\sqrt{[36u + 25u²]) } /2\sqrt{u} du\)

=225/4 int_0^25 (3\(\sqrt{[u + 4u²/9]}\))/(2\(\sqrt{[u]}\)) du

= 75/2 int_0^25 (\(\sqrt{[9u² + 4u³] }\)\(u^{-\frac{1}{2} }\)) du`

Use the substitution `v = 9u² + 4u³`, `dv/du = 18u + 12u²`.

When `u = 0`, `v = 0`, and when `u = 25`, `v = 24375`.

Thus, the integral becomes:

=`75/2 int_0^24375 \(v^{-\frac{1}{2} }\) (18u + 12u²) du

=`75/2 int_0^24375 (18/2 \(v^{-\frac{1}{2} }\) + 12/2 \(v^{-\frac{1}{2} }\) u) du

= 675/2 int_0^24375 \(v^{-\frac{1}{2} }\) + 450/2 \(v^{-\frac{1}{2} }\)]_0^24375

=675/2 int_0^24375 \(v^{-\frac{1}{2} }\) + 450/2\(v^{-\frac{1}{2} }\)]_0^24375

= 675/2 [\(2(24375)^{-\frac{1}{2} }\) + \(3(24375)^{-\frac{1}{2} }\) - \(2(0)^{-\frac{1}{2} }\) - \(3(0)^{-\frac{1}{2} }\)]

= 549.15`

Therefore, the exact length of the curve is `549.15` units.

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The reflection over the x- axis are F" (-3/2 , -3/2), G" (-3/2 , 3) ,

H"  (-3 , -3).

Given,

Dilation: (x, y) -> (3/4 * x, 3/4 * y)

From the graph,

Angle FGH with vertices F(- 2, 2) , G(- 2, - 4) and H(- 4, - 4)

To find the reflection.

Now, According to the question:

Let's know the Reflection over x - axis:

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Come to the solution:

F(- 2, 2) , G(- 2, - 4) and H(- 4, - 4)

Dilation: (x, y) -> (3/4 * x, 3/4 * y)

F' (3/4 × -2 , 3/4 × 2) = (-3/2 , 3/2)

G'  (3/4 × -2 , 3/4 × -4) = (-3/2 , -3)

H'  (3/4 × -4 , 3/4 × -4) = (-3 , -3)

Reflection in the x -axis of FGH are:

F" (-3/2 , -3/2)

G" (-3/2 , 3)

H"  (-3 , -3)

Hence, The reflection over the x- axis are F" (-3/2 , -3/2), G" (-3/2 , 3) ,

H"  (-3 , -3).

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Answer:

Square root

root

Answer: The square of a natural number is a perfect square.

Step-by-step explanation: for example, squaring 9 would leave you with a perfect square of 3, since 3x3 is 9. It is a perfect square.

Answer:

The second one. it's the only one that has a pattern for both sides. for every x value that goes up, the y-values goes down one. that function has a slope of -1

Step-by-step explanation:

I hope this helps :)

His/her lowered score was most likely due to statistical regression.

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

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Answer:

Im 85 percent sure its B.

Step-by-step explanation:

The required equation is g+300-900-900=1300.

The value of g is 2800 pounds.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Initially, there is a mound of g pounds of gravel, then 300 pounds are added, and then two orders of 900 pounds are sold. At the end of the day, the mound has 1,300 pounds of gravel.

The equation for the given information is formed as follows:

g+300-900-900=1300

Solve the equation to find the value of g,

g+300-1800=1300

g-1500=1300

g=1300+1500

g=2800

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Taking the floor of this value gives us $\lfloor D\rfloor = \boxed{328}$. We can use the fact that the mode occurs more often than any other number to help us determine the value of the mode.

Since there are 121 integers in the sample, we know that the mode must occur at least 61 times (since otherwise, there would be another value with at least as many occurrences).

Let's assume that the mode occurs 61 times. In this case, there are 60 integers left in the sample that are not the mode. We can make the difference between the mode and the arithmetic mean as large as possible by making all of these integers as small as possible (i.e., equal to 1).

So, the mode is 1000 and there are 61 of them, and there are 60 integers equal to 1. The arithmetic mean is \($\frac{61\cdot 1000 + 60 \cdot 1}{121} = \frac{61060}{121}$\) Thus, the difference between the mode and the arithmetic mean is $1000 - \frac{61060}{121}$.

Taking the floor of this value gives us $\lfloor D\rfloor = \boxed{328}$.

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Answer:

Width of the rectangle is 8 feet

Length of the rectangle is  13 feet

Step-by-step explanation:

Complete question -

The length of a rectangular garden is three feet less than twice its width. If the perimeter of the garden is 42 feet, what is its length?

Solution

Let the width  of the  rectangle be X feet

Length of the rectangle would be 2X -3  feet

Perimeter of the rectangle is 2 (length + breadth)

Substituting the given values, we get -

Perimeter =  2 (length + breadth)

\(42 = 2 [(2X-3) + X]\\42 = 4X - 6 + 2X\\48 = 6X\\X = 8\)

Width of the rectangle is 8 feet

Length of the rectangle is  \(2*8 -3 = 16-3 = 13\) feet

You can use the lm() function in R Studio to run a cross-sectional regression with the provided formula.

To run a cross-sectional regression in R Studio with the given formula, you can use the lm() function. First, you need to load your data into R Studio. Assuming you have a dataset named "data" that contains the variables GDPpc, Conspc, Trade, HCI, and Hightech, you can use the following code:

```R

# Load the dataset

data <- read.csv("path/to/your/data.csv")

# Take the natural log of GDPpc and Conspc

data$ln_GDPpc <- log(data$GDPpc)

data$ln_Conspc <- log(data$Conspc)

# Run the regression

model <- lm(ln_GDPpc ~ ln_Conspc + Trade + HCI + Hightech, data = data)

# View the regression results

summary(model)

```

This code first loads the dataset into R Studio. Then it creates two new variables, ln_GDPpc and ln_Conspc, by taking the natural logarithm of GDPpc and Conspc, respectively. Finally, it fits the regression model using the lm() function and displays the summary of the results using summary().

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The possible range of angle x is   x < 44

given data

In △ A B C , A B = 7 , B C = 12 , and m ∠ A B C = 82 ∘

In △ D E F , D E = 7 , E F = 12 and m ∠ D E F = ( 2 x − 6 ) ∘

A C > D F

Solution for angle x is gotten from the clue in A C > D F

This means that angle included by m ∠ A B C = 82 ∘ is greater than the angle included by m ∠ D E F = ( 2 x − 6 ) ∘

We therefore say that

82 ∘ >  ( 2 x − 6 ) ∘

82 + 6 > 2 x

88 > 2 x

divide both sides by 2

88 / 2 > 2 x / 2

44 > x

x < 44 degrees

Hence option g is the correct answer

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Answer:

68 boys and 56 girls

Step-by-step explanation

your welcome

Due to the formation of two identical rectangles, the streetlight is consequently twice as large as the individual.

A triangle is a polygon with three vertices and three angles that has three sides. It is one of the fundamental geometric shapes and has numerous uses in fields like engineering, physics, architecture, and more. The lengths of a triangle's sides and angles can be calculated using a variety of geometric formulas. Triangles come in a variety of shapes, including equilateral, isosceles, scalene, right-angled, acute-angled, and obtuse-angled triangles, each of which has unique attributes.

given

Let x represent the person's height.

Let x represent the streetlight's height.

Let d represent the distance between an individual and a streetlight.

Let s be the size of the shade cast by the subject.

According to the facts provided, x equals 6 feet (height of the person)

d Equals 15 feet (distance from the person to the streetlight)

The shadow's extent, s, is 15 feet.

Finding y's number, or the streetlight's height, is necessary.

The following ratios can be written using the comparable triangles property:

y / (d + s) Equals x / s

Inputting the numbers provided yields:

By condensing and figuring out x, we arrive at:

y = 12 feet

Consequently, the streetlight has a 12 foot height.

We can divide the streetlight's height by the person's height to determine how many times higher the streetlight is:

y / x = 12 / 6 = 2

Due to the formation of two identical rectangles, the streetlight is consequently twice as large as the individual.

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Answer:

Half Angle & X

Step-by-step explanation:

edge 2022

The step contains an error is Half Angle & X.

We have given that,

A 2-column table with 8 rows. Column 1 is labeled Step with entries 1, 2, 3, 4, 5, 6, 7, and 8.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Column 2 is labeled Statement with entries cosine (2 x) = 1 minus 2 sine squared (x), let 2 x = theta, then x = StartFraction theta Over 2 EndFraction, cosine (theta) = 1 minus 2 sine squared (StartFraction theta Over 2 EndFraction), negative 1 + cosine (theta) = negative 2 sine squared (StartFraction theta Over 2 EndFraction), 1 + cosine (theta) = 2 sine squared (StartFraction theta Over 2 EndFraction), StartFraction 1 minus cosine (theta) Over 2 EndFraction = sine squared (StartFraction theta Over 2 EndFraction), sine (StartFraction theta Over 2 EndFraction) = plus-or-minus StartRoot StartFraction 1 minus cosine (theta) Over 2 EndFraction EndRoot.

We have determined the step contains an error.

Half Angle & X.

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Answer:

             The x intercept:    (1.5, 0)

The slope intercept form:   y = 2x - 3

                      The slope:    m = 2

Step-by-step explanation:

x intercept means y=0

4x - 2y = 6

4x - 2·0 = 6

4x = 6

x = 1.5

The slope intercept form is:  y = mx + b

4x - 2y = 6            {subtract 4x from both sides}

- 2y = - 4x + 6       {dividing both sides by (-2)}

y = 2x - 3            ← slope intercept form

Slope is the number by x, in slope intercept form of line's equation

By working with percentages, we conclude that the total number of students surveyed is 880.

First, we know that a total of N students were surveyed about what color they preferred, blue or purple.

Then the other 55% preferred purple, which means that the 55% of the total number of students surveyed, N, is equal to 484.

So we just need to use what we know about percentages, we will get:

484 = N*(55%/100%) = N*0.55

Now we can solve this simple linear equation to find the value of N, we will get:

484/0.55 = N = 880

In this way, we conclude that the total number of students surveyed is 880.

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The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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The expressions aaaaaaa, aabbbb, aabbccc, and 3xxyyyz will be a⁷, a²b⁴,  a²b²c³, and 3x²y³z.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We know that if x is multiplied by n time of x, then we can be written as xⁿ.

1. aaaaaaa = a⁷

2. aabbbb = a²b⁴

3. aabbccc = a²b²c³

4. 3xxyyyz = 3x²y³z

The expressions aaaaaaa, aabbbb, aabbccc, and 3xxyyyz will be a⁷, a²b⁴,  a²b²c³, and 3x²y³z.

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