What is a formula for the nth term of the given sequence?

The difference of the fraction expression 7/8 - 6/11 is 1/2.

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

To estimate the difference 7/8 - 6/11 by replacing each fraction with 0, 1/2, or 1 use the expression -

7/8 - 6/11

7/8 > 3/4 so round it to 1.

1/4 ≤ 6/11 ≤ 3/4 so round it to 1/2.

Now estimate the difference by replacing each fraction with 0, 1/2, or 1 -

7/8 - 48/88 ≈ 1 - 1/2 = 1/2

Therefore, it can be estimated that 7/8 - 6/11 is approximately equal to 1/2.

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if other factors are held constant, what is the effect of increasing the sample variance: B. it will increase the estimated standard error and decrease the likelihood of rejecting h0.

In Mathematics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, the standard error of a sample proportion can be calculated by using this formula:

Standard error = √(p × (1 - p)/n)

Where:

Generally speaking, the effect of increasing the sample variance is an increase in estimated standard error and a decrease in the likelihood of rejecting H_{0} provided that other factors are held constant.

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The options A,B,C are incorrect because the rise of population increase median also increases.

what is median ?

In statistics, the median is the middle value of a dataset when the values are arranged in order. Specifically, if the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values. The median is a measure of central tendency that is less affected by extreme values (outliers) than the mean.

Given by the question:

(a) A rising median age in a population usually indicates an aging population.

(b) The median age could rise due to a decrease in births over time, and this trend could be observed if there were an increased lifespan and thus a decreased number of deaths.

(c) In what ways might a rising median age affect a society? (Select all that apply.)

These are just a few examples, and the effects of a rising median age can be complex and varied depending on the specific circumstances of a society.

Therefore, The options A,B,C are incorrect because the rise of population increase median also increases.

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Answer:

Angle 6 is 130 degrees

Vertical angles are 1 and 4, 2 and 3

Alt angles are 3 and 6, 4 and 5

Alt Exterior angles are 2 and 7, 8 and 1

Corresponding angles are 2 and 6, 1 and 5

Step-by-step explanation:

Answer:

3.14159265358979

Step-by-step explanation:

The outcome of removing (2x-3)2 from 5x2 is therefore x2 + 12x - 9.

Therefore, it can be expressed as Minuend Subtrahend = Differential. As a result, the number being removed is known as Barely heard, and the number being deducted is known as Minuend. As a result, the amount that is being removed from is known as the minuend, and the number being deducted from is known as the subtrahend.

To answer this question, we need to expand (2x-3)² and then subtract it from 5x².

(2x-3)² means (2x-3) multiplied by itself:

(2x-3)² = (2x-3) × (2x-3)

The first term in the first parentheses can be multiplied by both terms in the second parentheses using the distributive property, and the second term in the first parentheses can be multiplied by both terms in the second parentheses using the distributive property:

(2x-3) × (2x-3) = 2x × (2x-3) - 3 × (2x-3)

Simplifying each of the two terms:

= 4x² - 6x - 6x + 9

= 4x² - 12x + 9

Now we can subtract this expression from 5x²:

5x² - (4x² - 12x + 9)

Distributing the negative sign:

5x² - 4x² + 12x - 9

Combining like terms:

x² + 12x - 9

Therefore, the result of subtracting (2x-3)² from 5x² is x² + 12x - 9.

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Answer:5:1

Step-by-step explanation:

The options that are not polynomials are:

A, B, C, and E.

A general polynomial on a variable x can be written as:

P(x) = aₙ*xⁿ + ... + a₁*x + a₀

The coefficients a are all real numbers, and all the exponents on the variable x must be integer numbers.

So:

We can't have square roots of the variable.

We can't have negative exponents on the variable.

With that in mind, the options that aren't polynomials are:

A: because there is an exponent of 2/3

B: There is an exponent of -3

C: there is an exponent of -2

E: There is an exponent of -2

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By evaluating the expression in y = 5 we will see that the depth after 5 minutes is -165 ft. (or 165 feet below sea level).

We know that the expression:

-230 + 13*y

Represents the depth of the submarine as a function of time. Then y is the time in minutes, so we can write:

depth = -230 + 13*y

To get the depth after 5 minutes, just replace the variable y by the number 15, then you will get:

depth = -230 + 13*5

depth = -230 + 65

depth = -165

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Answer:

The slope of the line of fit and its meaning for the real-world situation include the following: C. The slope is 3/5, which means for each additional donut sold, the shop is predicted to earn $0.60.

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.

x and y are the points.

Based on the information provided, we can logically deduce the following data points on the line:

Points on x-axis = (7, 12).

Points on y-axis = (5, 8).

At data point (7, 12), a linear equation of this line in slope-intercept can be calculated by using the point-slope form form as follows:

y - 12 = (8 - 5)/(12 - 7)(x - 7)

y - 12 = 3/5(x - 7)

y = 3x/5 - 4.2 + 12

y = 3x/5 + 7.80

Mark as BRIANLIEST pls

Answer:90

Step-by-step explanation:

The result of multiplcation of two positive numbers that is 18 and 5 or 18× 5 is equals to the ninty.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number. How to calculate 18 multiplied by 5 using long multiplication : we have one is two digits number,i.e, 18 and other one is 5.

1 8

x 5

______

Step 2: Multiply, 5 x 8 = 40. Put 0 below the line and 4 as a reminder on top:

4

1 8

x 5

_______

0

Step 3: Multiply 5 x 1 = 5. Take 5 and add 4 from the previous step to get 9. Enter 9 at the bottom:

1 8

x 5

_______

9 0

So, required value is 90.

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The length of the guy wire is approximately 21 feet

From the question, we are to calculate the length of the guy wire.

To calculate the length of the guy wire,

First, we will determine the height of the tower.

Let the height of the tower be h

From the given diagram, we can write that

h/(9 +4) = 5/4

h/13 = 5/4

h = (13×5)/4

h = 65/4

h = 16.25 feet

Let the length of the guy wire be l

Then,

From the Pythagorean's theorem we can write that

l² = 16.25² + (9+4)²

l² = 264.0625 + 13²

l² = 264.0625 + 169

l² = 433.0625

l = √433.0625

l = 20.81015

l ≈ 21 feet

Hence, the length is approximately 21 feet

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MN = 17.09 cm

NMV = 16.31°

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.

MV = 1/2 VS = 6cm (midpoint)

NV= 1/2YV = 5cm (midpoint)

MV = [tex]\sqrt{MV^2 + UV^2} = \sqrt{6^2 + 16^2} = 17.09cm[/tex]

MN = [tex]\sqrt{MU^2 + NU^2} = \sqrt{6^2 + 16^2 + 5^2} = 17.80cm[/tex]

tanNMV= 5/17.09

= 16.31°

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A statistical technique that would allow a researcher to cluster such traits as being talkative, social, and adventurous with extroversion is called factor analysis.

Statistical techniques are methods and procedures used in the collection, analysis, interpretation, and presentation of data. These techniques involve the use of mathematical and statistical models to draw meaningful insights and conclusions from data.

Some common statistical techniques include:

Descriptive statistics: These techniques are used to summarize and describe the key features of a dataset, such as central tendency, variability, and distribution.

Inferential statistics: These techniques are used to make inferences about a larger population based on a sample of data. This involves using probability theory to estimate population parameters and test hypotheses.

Regression analysis: This technique is used to model the relationship between one or more independent variables and a dependent variable.

Hypothesis testing: This technique is used to test the validity of a hypothesis or claim about a population using sample data.

Time series analysis: This technique is used to analyze data that varies over time, such as stock prices or weather patterns.

Cluster analysis: This technique is used to group similar observations together based on their characteristics.

Data mining: This technique involves the use of automated methods to discover patterns and relationships in large datasets.

Statistical techniques are widely used in many fields, including business, economics, social sciences, medicine, and engineering. They are used to make informed decisions, identify trends and patterns, and to understand complex systems.

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The required two cords together is 5 1/8 yards long, as of the given condition.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
We can add the two cords together in different ways:

2 6/8 yards = 22/8 yards

2 3/8 yards = 19/8 yards

Total length in eighths of a yard: 22/8 + 19/8 = 41/8 yards

Simplifying 41/8 yields 5 1/8 yards.

So the two cords together are either 4 19/36 yards or 5 1/8 yards long.

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Answer:

6.67%

Step-by-step explanation:

The formula for accrued value A on a deposit P for t years compounded n times annually at i% APR is
[tex]A = P\left(1 + \dfrac{r}{n}\right)^{nt}[/tex]

where r = i/100 i.e the interest rate as a decimal

We are given
P = $12,000

i = 6.5%

r = 6.5/100 = 0.065

n = 4 since interest is compounded annually

t = 1 year since we are interested in the annual yield

[tex]\begin{aligned}A &= 12000\left(1 + \dfrac{0.065}{4}\right)^{4\cdot 1}\\& = 12000(1 + 0.01625)^4\\&= 12000(1.01625)^4\\& = \$12,799.22\end{aligned}[/tex]

Effective Annual Interest = 12,799.22 - 12,000 = $799.22
This works out to an annual  yield of 799.25/12000

= 0.0667

= 6.67%

The conversion of 3000 euros to dollars is 3,540 US dollars.

Please note that exchange rates can fluctuate over time, so the exact conversion may be different depending on the current exchange rate.

The conversion of 3000 euros to dollars depends on the current exchange rate between the two currencies. As of my knowledge cutoff date of September 2021, the exchange rate was approximately 1.18 US dollars per 1 euro.

Using this exchange rate, we can convert 3000 euros to US dollars as follows:

3000 euros * 1.18 dollars/euro = 3,540 US dollars

Therefore, 3000 euros is equivalent to approximately 3,540 US dollars using the exchange rate mentioned above.

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Three expressions containing exponents so that each expression equals 81 are,

1) 9²

2) 3⁴

3) 8² + 17

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We have to write three expressions containing exponents so that each expression equals 81.

Hence, We get;

Three expressions containing exponents so that each expression equals 81 are,

1) 81 = 9 × 9 = 9²

2) 81 = 3 × 3 × 3 × 3 = 3⁴

3) 81 = 8 × 8 + 17 = 8² + 17

Thus, Three expressions containing exponents so that each expression equals 81 are,

1) 9²

2) 3⁴

3) 8² + 17

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Jane bought 4 pounds of jolly ranchers.

To calculate how many pounds of jolly ranchers Jane bought, we need to divide the total worth of jolly ranchers by the price per pound.
Determine the price per pound of jolly ranchers. This information is not provided in the question, so we will need to assume a price. Let's say that the price per pound of jolly ranchers is $2.50.
Divide the total worth of jolly ranchers by the price per pound.
$9.75 ÷ $2.50 = 3.9
Round the answer to the nearest whole number, if necessary. In this case, 3.9 rounds up to 4.

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The solution of the given problem of surface area comes out to be Tara and Veronica will need about 15.26 bottles of paint to cover the banner.

Its surface area is a reliable indicator of its overall size. When figuring out the right triangle squared, the environment is taken into account. The surface area of everything determines its overall size. The total of the volumes from each of the twelve vertical sides makes up the water volume inside a cuboid. Utilize the following formula to get the box's dimensions: The region is represented by 2lh, 2lw, & 2hW. (SA). The area is represented by the flexible shape's entire surface area.

Here,

To calculate the number of paint bottles needed, we need to first find the area of the parallelogram-shaped banner.

Area = base × height

The apothem is given as 9.52 cm, which is also the height of one of the triangles. The base of each of these triangles is half of the length of the banner, which is 6.8/2 = 3.4 cm. Using the Pythagorean theorem, we can solve for the height "h" of each triangle:

h² = (9.52)² - (3.4)²

h ≈ 8.56 cm

So the total height of the parallelogram is twice this value, or approximately 17.12 cm. Therefore, the area of the banner is:

Area = b × 17.12

864 × 2.54² ≈ 5574.14 cm²

So the area of the banner is:

Area = b × 17.12 = 2(6.8 + b) × 8.56 - 5574.14

Simplifying this expression, we get:

Area = 17.12b - 226.67

Now we can solve for "b" by setting this expression equal to the area of the banner that can be painted:

16(24) = 384 square feet = 384 × 144 ≈ 55302.74 cm²

17.12b - 226.67 = 55302.74

17.12b = 55402.41

b ≈ 3232.87 cm

Finally, we can calculate the area of the painted portion of the banner:

Area painted = (6.8 + b) × 17.12 - 6

Area painted ≈ 5826.24 cm²

To find the number of paint bottles needed, we divide the area painted by the coverage of one bottle:

Number of bottles = Area painted / (16 × 24)

Number of bottles ≈ 15.26

So Tara and Veronica will need about 15.26 bottles of paint to cover the banner.

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Answer:

x = 69

Step-by-step explanation:

[tex]x + 111 = 180[/tex]

[tex]x = 180 - 111[/tex]

[tex]x = 69[/tex]

Answer:

69°

Step-by-step explanation:

An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, making the sides of the angle.

There are right angles (exactly 90 degrees), acute angles (less than 90 degrees), obtuse angles (more than 90 degrees), and reflex angles (more than 180 degrees).

We can see that if there is a straight line, the angles must add up to 180°. To solve for the value of x, we can use this equation:

Therefore, the measure of angle x = 69°

The end behavior of the polynomial is defined by:

Here we want to find the end behavior of a polynomial, to do it, we need to look at the degree and the sign of the leading coefficient.

Remember that the degree is the largest exponent of the polynomial.

Here we can see that the degree is 12 (on the fourth term), so it is even.

And the leading coefficient (the coefficient in the term with the largest exponent) is -10, so it is negative.

Then the first correct option is:

Even means that both ends tend to the same value, and in this case, a negative leading coefficient means that both ends tend to negative infinity, then:

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If the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.


The area of a right triangle can be found by using the formula A=1/2bh, where b is the base of the triangle and h is the height. In this example, the base, b, is 6 inches. To find the height, h, we can solve the equation for h: h = 2A/b, where A is the area of the triangle.

Therefore, if we know the area of the triangle, A, we can find the height, h, of the triangle by plugging in the values and solving for h. For example, if the area of the triangle is 18 square inches, then h = 2(18)/6 = 6 inches.

The area of a right triangle can be found by using the formula A=1/2bh and plugging in the known values of b and h. In this example, if the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.

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The length of missing side of the given right triangle by using pythagoras theorem is x = 12.369 .

The hypotenuse side of a right-angled triangle's square is equal to the sum of the squares of the other two sides, according to Pythagoras' Theorem. The Perpendicular, Base, and Hypotenuse of this triangle are its three sides. Because to its position opposite the 90° angle, the hypotenuse in this case is the longest side. A right triangle's positive integer sides (let's say sides a, b, and c) are squared to obtain a Pythagorean triple equation.

Consider about the triangle given above:

the perpendicular to "a,"

B stands for base,

The letter "c" stands in for the hypotenuse.

The definition provides the following as the Pythagoras Theorem formula:

[tex]Hypotenuse^2 = Base^2 + Perpendicular^2\\\\c^2 = a^2 + b^2[/tex]

The right triangle's sides are as follows:

Perpendicular ( p ) = x

Base ( b ) = 4

Hypotenuse ( h ) = 13

Finding the length of missing side

Using Pythagoras theorem

[tex]p^2 +b^2=h^2[/tex]

plug the values

[tex]x^2+4^2=(13)^2[/tex]

Evaluate the power

[tex]x^2+16=169\\\\x^2=169-16\\\\x^2=153\\\\x=\sqrt{153}\\\\x= 12.369[/tex]

The length of missing side x = 12.369

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The complete question is ,

Find the missing side of the given right triangle whose sides are given as base = 4 units , hypotenuse = 13 units .

The equation of the perpendicular line is 5x - 3y = 15

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The points on the line are

(-3, 2) and (2, -1)

So, the slope (m) is

m = (-1 - 2)/(2 + 3)

Evaluate

m = -3/5

The equation of the perpendicular line is then calculated as

y = -1/m(x - x1) + y1

Where

(x1, y1) = (3, 0)

So, we have

y = 5/3(x - 3)

This gives

3y = 5x - 15

Rewrite as

5x - 3y = 15

So, the equation is 5x - 3y = 15

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Answer: 44

Step-by-step explanation: No explain because just yeah:)

12 adults can go with the 9 kids, while ratio changes 3kids to 4 adults.

A ratio is a comparison between two or more quantities. It is usually expressed as two numbers separated by a colon.

For example, 2:3 is a ratio indicating two parts of a whole compared to three parts of the same whole. Ratios can also be used to compare different units, such as 5 miles to 8 kilometers. Ratios can provide a useful tool for comparing and contrasting different values.They can be used to compare sizes, proportions, costs, and more.

3 kids : 4 adults

9 kids : x adults

9x = 12*4

x = 12

Therefore, 12 adults can go with the 9 kids.

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