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

Using arithmetic operators, the value of x are -19/5, 19/6, -9/5, 2, no solution and 9 respectively

To solve this problem, we need to apply basic arithmetic operators

1.

1 / (x + 4) = 5

Cross multiply both sides

5(x + 4) = 1

5x + 20 = 1

5x = -19

x = -19/5

2.

1/(x - 3) = 6

Cross multiply both sides

1 = 6(x - 3)

1 = 6x - 18

19 = 6x

x = 19/6

3.

1/(x + 2) = 5

1 = 5(x + 2)

1 = 5x + 10

5x = -9

x = -9/5

4.

1 /(2x - 3) = 1 / (5 - 2x)

cross multiply both sides

2x - 3 = 5 - 2x

collect like terms

2x + 2x = 5 + 3

4x = 8

x = 2

5.

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

Collect like terms

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

2 = (x + 3) + (x + 3) / x + 3

2 = 2x + 6 / x + 3

cross multiply bot sides

2(x + 3) = 2x + 6

2x + 6 = 2x + 6

0 = 0

6.

2 / (x - 3) = 3 / x

cross multiply both sides

2x = 3(x - 3)

2x = 3x - 9

3x - 2x = 9

x = 9

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Answer:

So the probability that Federico scores one point in this situation is 84%.

Step-by-step explanation:

The probability that Federico makes his first shot is 60%, so the probability that he misses it is 40%. If he misses his first shot, he doesn't get a second one, so the probability of scoring one point in this situation is the probability of making the first shot (60%) plus the probability of missing the first shot and making the second one (40% x 60%), which is:

0.60 + 0.24 = 0.84

So the probability that Federico scores one point in this situation is 84%.

Answer: B

Step-by-step explanation:

The measure of a central angle in a regular hexagon where each interior angle is 60° is also 60°.

If each interior angle equals 60° in a polygon, then we know that the polygon is a regular hexagon. In a regular polygon, all angles are congruent, so the measure of each interior angle of a regular hexagon is 60°.

Now, to find the measure of a central angle of the hexagon, we can use the formula:

measure of central angle = 360° / number of sides

For a hexagon, the number of sides is 6, so:

measure of central angle = 360° / 6 = 60°

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The total number of squares is 16 x 4 = 64, which matches the given information that the carpet has 24 squares.

In geometry, a square is a two-dimensional shape with four sides of equal length and four right angles. The sides of a square are perpendicular to each other, which means that they form a 90-degree angle at each corner. Squares are a special type of rectangle, and all squares are rectangles, but not all rectangles are squares.

The formula for the area of a square is A = s^2, where A is the area and s is the length of one side.

Squares have many interesting properties that make them useful in mathematics and other fields. For example, squares are symmetric, which means that they can be divided into two congruent halves that are mirror images of each other. Squares also have the maximum area for a given perimeter, which makes them an efficient shape for many practical applications, such as fencing or tiling.

Squares can be found in many natural and man-made objects, such as tiles, buildings, and boxes. They are also used in many mathematical concepts, such as the Pythagorean theorem, which relates the sides of a right triangle to the length of its hypotenuse.

In summary, a square is a two-dimensional shape with four sides of equal length and four right angles. Squares have many useful properties and applications in mathematics and other fields, and are a fundamental shape in geometry.

If the carpet has 24 equally sized squares arranged in equal rows, we can start by finding the factors of 24. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

We want to find the number of squares that might be on each side of the carpet, so we are looking for a factor that is a perfect square. The only factors of 24 that are perfect squares are 1 and 4. If the carpet has 1 square on each side, then it would only have 1 square in total, which is not possible. Therefore, the carpet must have 4 squares on each side.

We can check that this works by calculating the total number of squares. If there are 4 squares on each side, then there are 4 rows of 4 squares, for a total of 16 squares. Since each square is divided into 4 smaller squares, the total number of squares is 16 x 4 = 64, which matches the given information that the carpet has 24 squares.

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It should be noted that point C is located at (2.6, 1.8).

The length of horizontal side = (xB − xA) = 4 units

length of vertical side = (yB − yA) = 2 units

To find the x-coordinate of the point that divides the horizontal side in the ratio 2 : 3, first convert the ratio between the parts into the fraction of the sum that the first part is equal to:    a/a+b= 2/2+3= 2/5

Multiply the length of the horizontal side by the fraction, and then add the result to the x-coordinate of point A:  Xc= Xa  + (a/a+b) (Xb - Xa) = 1+ (2/5 x 4) = 2.6

Multiply the length of the vertical side by the fraction, and then add the result to the y-coordinate of point A:  Yc= Ya  + (a/a+b) (Yb - Ya) = 1+ (2/5 x 2) = 1.8

It follows that point C is located at (2.6, 1.8).

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You will use the GeoGebra geometry tool to divide a line segment in a given ratio. Go to line segment ratios, and complete each step below. If you need help, follow these instructions for using GeoGebra.

Question 1

Any line segment that is not horizontal or vertical can be represented as the hypotenuse of a right triangle whose legs are aligned with the x- and y-axes. In GeoGebra, is shown as the hypotenuse of such a triangle. You will divide in the ratio 2 : 3 using the ideas you’ve seen so far in the lesson:

Find and record the lengths of the horizontal and vertical sides of the right triangle.

Find and record the x-coordinate of a point that divides the horizontal side in the ratio 2 : 3. Use the formula from the lesson to guide you:

.

Find and record the y-coordinate of a point that divides the vertical side in the ratio 2 : 3. Use the formula from the lesson to guide you:

Answer:

 A(1,1) and B(5,3) are the coordinates. 4 units make up the horizontal side, while 2 units make up the vertical side.

Step-by-step explanation:

god told me in a dream.

As per the arithmetic sequence, the farmer have 21 cows in his first year on the farm

An arithmetic sequence is a sequence of numbers in which each successive number is obtained by adding a fixed number to the previous number.

To determine the common difference, we can take the difference between any two consecutive terms in the sequence.

The difference between the 2nd and 5th years is 9 cows

=> (39 - 30 = 9).

Now that we know the common difference is 9, we can use it to find the first term of the sequence. To do this, we can take the second term (30 cows) and subtract the common difference from it.

This would give us the first term of the sequence, which is 21 cows.

Therefore, the farmer had 21 cows in his first year on the farm.

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After 54 days, 213.3 grams of protactinium will remain from the initial 488 grams.

In radioactive decay, the amount of material that remains after a given amount of time can be calculated using the equation A=A0e^-kt, where A is the amount remaining after time t, A0 is the original amount, k is the decay constant, and t is the elapsed time. In this problem, we are given that A0 = 488 grams, t = 54 days, and k = 0.0259. We can calculate the amount remaining after 54 days by plugging these values into the equation.

A = 488e-0.0259(54)

A = 488e-1.3926

A = 213.3 grams

In conclusion, after 54 days, 213.3 grams of protactinium will remain if 488 grams is initially present.

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True. Comparing two marginal distributions can show if the corresponding two variables are related. This can be done by calculating the correlation coefficient of the two variables.

The correlation coefficient is a numerical measure of the degree of the linear relationship between two variables and can be calculated by dividing the covariance of the two variables by the product of their standard deviations. The correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation and 1 indicates a perfect positive correlation.

If the correlation coefficient is close to zero, then the two variables are not significantly related. If the correlation coefficient is close to -1 or 1, then it can be inferred that the two variables are related.

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The composite function has its value to be 25

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

f(x) = x^2 - 4

g(x) = 2x - 1

Given the composite function [f x g] (3)., we have

[f x g] (3) = f(3) * g(3)

Substitute the known values in the above equation, so, we have the following representation

[f x g] (3) = (3^2 - 4) * (2 * 3 - 1)

Evaluate

[f x g] (3) = 25

Hence, the solution is 25

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As a result of these entries, the revenue and expense accounts will have zero balances, and the net income of $19,500 will be transferred to the Retained Earnings account.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Based on the information provided in the image, here are the closing entries for the accounting period:

Close the revenue accounts:

Account Titles Debit Credit

Income Summary 34,000

Service Revenue           34,000

Close the expense accounts:

Account Titles Debit Credit

Salaries Expense 8,000

Rent Expense         6,000

Supplies Expense 1,500

Income Summary           15,500

Close the Income Summary account to the Retained Earnings account:

Account Titles Debit Credit

Income Summary          19,500

Retained Earnings 19,500

Therefore, As a result of these entries, the revenue and expense accounts will have zero balances, and the net income of $19,500 will be transferred to the Retained Earnings account.

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False. Comparing marginal distributions of two variables only gives information about each variable separately and not their relationship.

Comparing the marginal distributions of two variables only shows the distribution of each variable individually and not their relationship. For example, suppose we have two variables X and Y. If we compare the marginal distributions of X and Y separately, we may see that one variable has a higher frequency of a certain value than the other variable, but this does not necessarily imply that there is a relationship between the two variables. To determine whether there is a relationship, we need to look at the joint distribution of X and Y, which can be displayed in a scatterplot or analyzed using a correlation coefficient.

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The two equivalent expressions for the new acreage sold by the landowner are:

Both of these expressions will give the same result, which is the new acreage after the sale.

Another way to find the new acreage is to subtract the sold acreage from the total acreage. This is the same as the first expression, but it may be easier for some people to understand. For example, if the total acreage was 100 acres and the sold acreage was 20 acres, the new acreage would be 100 - 20 = 80 acres.

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Therefore , the solution of the given problem of area comes out to be

a new bedroom door would cost $142.52 in total.

Its surface area serves as a fair guide of its total size. The environment is considered when calculating the right triangle squared. Everything's overall size is determined by its surface area. The volume of water inside a cuboid is equal to the sum of the contents from each of its twelve vertical sides. To determine the box's dimensions, use the formula below: 2lh, 2lw, and 2hW symbolise the area (SA). The full surface area of the flexible shape serves as the area's representation.

Here,

The area of the door is:

Area = height x width

Area = 7 ft x 4 ft

Area = 28 sq ft

The cost per square foot is $5.09, so the total cost of the new door would be:

Cost = Area x cost per square foot

Cost = 28 sq ft x $5.09/sq ft

Cost = $142.52

Therefore, a new bedroom door would cost $142.52 in total.

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Answer:

  c)  5(1/2 + x)

Step-by-step explanation:

You want the expression that represents "5 multiplied by the sum of 1/2 and x."

The wording of the statement tells you it will have the form of a product:

  5×sum . . . . . . . . 5 multiplied by a sum

That eliminates all of the answer choices except C.

The wording tells you the sum is of 1/2 and x, so it is represented by ...

  1/2 +x . . . . . . . . . sum of 1/2 and x

Using the sum expression in the above product expression, we have ...

  5(1/2 +x)

Answer: here you go this should do the trick.

Answer: the slope is -1/2 and the y-intercept is (0,4)

Answer: 3.93701

Step-by-step explanation:

The possible outcomes for flipping a two-sided tile once are:

Toss 1 Toss 2 Toss 3

Black Black Black

Black Black White

Black White White

Black White Black

White White White

White White Black

White Black Black

White Black White

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Now, If we flip the tile three times, the sample space will consist of all possible outcomes of the three flips.

Hence, Each flip is independent, so the total number of possible outcomes is the product of the number of outcomes for each flip, which is 2.

Therefore, the sample space for flipping the tile three times is:

BBB,

BBW,

BWB,

BWW,

WBB,

WBW,

WWB,

WWW

Where,

B = the black side facing up, and

W = the white side facing up.

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The conversion of 71 inches is equal to 5.9166666667 feet.

The US customary measuring unit is the foot,

It is denoted by the letter "ft."

To convert 5 meters (m) to feet,

The imperial and American customary systems of measuring both use the symbol "in" to represent 1 inch as a unit of length.

It was decided that one inch was exactly equal to 25.4 millimetres.

12 inches make up a foot, and 36 inches make up a yard.

We know that,

1 in = 0.0833333333 ft

1 ft = 12 in

1 in = 2.54 cm and 1 cm equals 0.3937007874 in

To convert inches to feet,

We need to divide the number of inches by 12,

Since there are 12 inches in a foot.

Therefore,

71 inches divided by 12 gives us:

71 inches ÷ 12 = 5.9166666667 feet

(rounded to ten decimal places)

So 71 inches is equal to approximately 5.9166666667 feet.

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The three rules of logs are the product rule, quotient rule, and power rule.

The three rules of logs are fundamental rules that are used in manipulating logarithmic expressions.

Product rule:

The product rule states that the logarithm of the product of two numbers is equal to the sum of the logarithms of the individual numbers.

Quotient rule:

The quotient rule states that the logarithm of the quotient of two numbers is equal to the difference of the logarithms of the individual numbers.

Power rule:

The power rule states that the logarithm of a number raised to a power is equal to the product of the power and the logarithm of the base.

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a) The simple interest earned is $810. b) The annual interest rate paid by the credit union is 5.4%. c) It will take about 12.81 years for Mr. Adams' investment to be doubled at the same rate of interest.

a) To find the simple interest earned, we can use the formula:

Simple interest = Principal x Interest rate x Time

Where the principal is $5,000, the time is 3 years, and the total amount received at the end of 3 years is $5,810. We can rearrange the formula to solve for the interest rate:

Simple interest = $5,810 - $5,000 = $810

Interest rate = Simple interest / (Principal x Time)

Interest rate = $810 / ($5,000 x 3)

Interest rate = 0.054 or 5.4%

b) The annual interest rate paid by the credit union is 5.4%.

c) To find the length of time it will take for Mr. Adams' investment to be doubled at the same rate of interest, we can use the formula:

Doubling time = ln(2) / ln(1 + r)

Where r is the interest rate as a decimal. Plugging in the values:

Doubling time = ln(2) / ln(1 + 0.054)

Doubling time ≈ 12.81 years

Therefore, it will take about 12.81 years for Mr. Adams' investment to be doubled at the same rate of interest.

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Complete question:

Mr. Adams invested $5,000 at the credit union and received $5,810, inclusive of simple interest, after 3 years. Determine:

a) The simple interest earned

b) The annual interest rate paid by the credit union

c) The length of time it will take for Mr. Adams' investment to be doubled, at the

same rate of interest.

In this situation, interval measurement is being employed as the measurement level.

As the height of each student can be measured on a continuous scale with equal intervals between the values. It's important to note that the teacher may have rounded the measurements to the nearest unit, which would make it a discrete measurement.

Interval measurement is a level of measurement in which the values are measured on a continuous scale and have equal intervals between them, but there is no true zero point. This means that the difference between any two values on the scale is meaningful and consistent, but it is not possible to say that one value is "zero" or has no quantity of the measured attribute.

For example, measuring temperature in degrees Celsius or Fahrenheit is an example of interval measurement. In this case, the difference between 10 and 20 degrees is the same as the difference between 20 and 30 degrees, but there is no true zero temperature - a temperature of 0 degrees does not mean the absence of heat.

Another example of interval measurement is measuring time in minutes or hours. The difference between 10 minutes and 20 minutes is the same as the difference between 20 minutes and 30 minutes, but there is no "zero" point in time - even if nothing is happening, time continues to pass.

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Answer:32 (Irrational)

Step-by-step explanation:

Basically, just do it

Answer:

y - 12 = -5(x + 2)

Step-by-step explanation:

Answer:

13,19,2,73,89

Step-by-step explanation:

all of these numbers can't be divided by any number but 1 and the number itself

An online calculator to solve a system of equations is a tool that allows users to find the solutions to a set of equations with multiple variables.

It uses various methods such as substitution, elimination, and matrix operations to find the values of the variables that satisfy all the equations in the system. These calculators can be useful in solving real-world problems that involve multiple variables and equations, such as in engineering, economics, and science. Users can input the coefficients of the equations and the variables' names, and the calculator provides the solutions in numerical or symbolic form.

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The sum of angles of a polygon having 10 sides is equal to 1440°.

The sum of angles of a polygon having 10 sides is equal to 1440°. This can be calculated by using the formula:

Sum of angles of a polygon = (n - 2) * 180°

Where n is the number of sides of the polygon.

Therefore, substituting the value of n = 10 in the above formula, we get:

Sum of angles of a polygon = (10 - 2) * 180°

Sum of angles of a polygon = 8 * 180°

Sum of angles of a polygon = 1440°

Hence, the sum of angles of a polygon having 10 sides is equal to 1440°.

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The Correct answer will be B. f(x) is shifted π/4 units to the left.

The general equation for a sine and cosine curve is y = A sin ⁡ ( x − h ) + k and y = A cos ⁡ ( x − h ) + k , respectively. Similar to other function transformations, is the horizontal shift (also called a phase shift), and is the vertical shift.Changes to the amplitude, period, and midline are called transformations of the basic sine and cosine graphs. Changing the midline shifts the graph vertically. The graph is stretched or compressed vertically depending on the amplitude. The graph is stretched or compressed horizontally depending on the era.

To determine the transformation;

Dim x=t+π/4

so, f(t+π/4)=cos(t+π/4)=g(t)

t+π/4→t:units to the left.

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The inequality that models the situation is given as follows:

195 ≥ s.

The four inequality symbols, along with their meaning, are presented as follows:

For this problem, we have that the speed, represented by variable s, must be of at most 195 mph, hence the inequality is given as follows:

s ≤ 195.

Meaning that 195 is greater than or equal to s, hence:

195 ≥ s.

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Answer:

-60

Step-by-step explanation:

Answer:

An additive inverse is just the opposite of a given number. A number a is the number that when added to a yields zero.

Your answer is -60

Step-by-step explanation: