Write a recursive formula for the sequence: 25, 5, 1,...
O a (1)=25 and a (n) = a(n − 1)
O a (1)=25 and a (n) = 5 a(n-1)
O a (1)=25 and a (n) = a(n-1) +5
O a (1) = 25 and a (n) = a(n-1) - 20

Since Latasha looked at 3 websites every 15 hours, at that rate, it will take Latasha 25 hours to look at 5 websites.

The unit rate shows the ratio between two values.

The unit rate is the quotient of two numbers, computed using the division and multiplication operations.

The number of websites Latasha looked in 15 hours = 3

The time it will take Latasha to look at 5 websites = 25 (15/3 x 5)

Thus, based on the rate, we can conclude that Latasha uses 5 hours to look at one website.

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Answer:

x=8

Step-by-step explanation:

8 x 8 = 64

You can find this answer by using inverse operations.

64/8 = 8

To check your work, you can multiply...

8x8 = 64.

Hope this helps!

The 90% confidence interval for the population standard deviation of the thicknesses of all linoleum tiles in this factory (3.27, 7.78)

To construct the 90% confidence interval for the population standard deviation of the thicknesses of all linoleum tiles in the factory, we need to use the chi-square distribution since the population standard deviation is unknown.

1. Identify the sample size (n) and sample standard deviation (s):
n = 13 (13 randomly selected linoleum tiles)
s = 4.76 (standard deviation of the thicknesses)

2. Determine the degrees of freedom (df):
df = n - 1 = 13 - 1 = 12

3. Find the chi-square values for the 90% confidence interval using a chi-square table or calculator:
The lower tail value (with 5% in the lower tail) is χ² = 4.404
The upper tail value (with 5% in the upper tail) is χ² = 21.026

4. Calculate the confidence interval for the population standard deviation:
Lower limit = √[(n - 1) * s² / χ²_upper] = √[(12 * (4.76)²) / 21.026] ≈ 3.27
Upper limit = √[(n - 1) * s² / χ²_lower] = √[(12 * (4.76)²) / 4.404] ≈ 7.78

The 90% confidence interval for the population standard deviation is approximately (3.27, 7.78).

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Yet because we can compare the set of positive rational numbers exactly to the collection of natural numerals, we may infer that the set of positive rational must have a number of clusters of 0, or n(Q+)=0. Due to the fact that these two numbers must equal one another, 02 = 0.

Since they may be arranged in a one-to-one correspondence with the natural numbers (the integers, such as 1, 2, and 3), Cantor showed in 1873 that the rational numbers, although being infinite, are countable (or denumerable).

How are the rational numbers counted as a group?

To achieve this, we take into account the this double integers grid upon that positive orthogonal. If p and q are positive natural numbers, then p/q may be used to represent any positive valid value.

Simply put, we establish the following values: h(0) = 0, h(2n) = f(n), for all natural numbers n > 0, and h(2n-1) = g(n) = -f(n), for all natural numbers n > 0.

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The two solutions to the equation (2x - 3)(3x + 5) = 0 when solved are x = 3/2 and x = -5/3

Given that, we have the following equation

(2x - 3)(3x + 5) = 0

The above equation means that

2x - 3 = 0 and 3x + 5 = 0

When the equations are evaluated, the equations becoms

2x = 3 and 3x = -5

Lastly, we divide both sides of the equation by the coefficent of x i.e 2 and 3

So, we have

x = 3/2 and x = -5/3

So, the values of the solutions to the equation are x = 3/2 and x = -5/3

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Answer:

I think it is 399.

Step-by-step explanation:

Answer:

Step-by-step explanation:

fsffd

The series, based on the general terms, can be found to be arithmetic. The indicated sum is - 544.

To determine if the series is arithmetic or geometric, we must first find the common difference (arithmetic) or common ratio (geometric).

Term 1 (p=1): 19 - 2(1) = 17

Term 2 (p=2): 19 - 2(2) = 15

Term 3 (p=3): 19 - 2(3) = 13

There is a common difference of -2 so this is arithmetic.

The formula for the sum of an arithmetic series is:

Sum = (n x (a1 + an)) / 2

The series is: ∑ (p = 1 to 34) (19 - 2p)

To find the last term, we plug in p = 34:

an = 19 - 2(34)

= 19 - 68

= -49

The sum is therefore:

Sum = (34 x (17 + (-49))) / 2

Sum = -544

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Answer:

9/14

Step-by-step explanation:

add them

The author's purpose in the text is to teach readers how to make animal silhouette art using simple supplies.

The text provides a clear set of instructions, starting with finding a picture of an animal, copying its outline onto cardboard, cutting out the silhouette, and then using strips of magazine paper to create a colorful design. The author gives specific details on how to cut the strips, glue them to the cardboard, and trim them to make a finished piece of art. The use of the second-person point of view, such as "you will create," suggests that the author intends for the reader to follow the instructions and make their own animal silhouette art. Overall, the text is informative and instructional, providing a step-by-step guide to creating art with readily available materials.

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The complete question is:

One great thing about making art is that you can use almost any supplies. In this project, you will create animal silhouettes from three simple supplies: old magazines, cardboard, and glue.

First, find a picture of an animal that you like. Copy its outline onto a piece of cardboard, and cut out the cardboard silhouette. Next, cut narrow strips from the magazines. The pages you choose will determine what colors the animal will be.

Now, glue the side of the strip by side onto the cardboard shape, with the ends extending beyond the cardboard's edges. Trim the strips carefully along the edges. Ta-da! Your colorful animal art piece is finished.

Which author's purpose is suggested by the text?

Using graphs,

The ordered pair, (6,15) represents here the cost of 6 pounds of noodles that is $15.

A structured representation of the data is all that the graph is. It assists us in comprehending the info. Data are the numerical details gathered by observation. Data is a derivative of the Latin term datum, which means "something provided."

Data is continuously gathered through observation once a research question has been formulated. After that, it is arranged, condensed, and categorised before being graphically portrayed.

Here in the question,

As we can see that the graph is a relation between the number of noodles in pounds and the cost of noodles in dollars has been given and compared.

So, as per the question,

The ordered pair that represents here the cost of 6 pounds of noodles is (6,15).

As, from the graph:

When noodles in pounds is 6, cost in dollars is 15.

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The complete question is:

the points on the graph show how much chee pays for different amounts of noodles, complete the statement about the graph

Answer:

13/5

Step-by-step explanation:

2*5=10

3+10=13

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathtt{2\dfrac{3}{5}}\\\\\mathtt{= \dfrac{2\times5 + 3}{5}}\\\\\mathtt{= \dfrac{10 + 3}{5}}\\\\\mathtt{= \dfrac{13}{5}}\\\\\\\huge\text{Therefore your answer should be:}\\\\\huge\boxed{\mathtt{\dfrac{13}{5}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

three and seven tenths times five

The surface area of the rectangular solid with length 5 inches, width 2 inches, and height 4 inches is 76 sq inch. The answer is D.

What is surface area of rectangular solid ?

The surface area of a rectangular solid (also known as a rectangular prism) is the total area of all its faces. It can be calculated using the formula:

SA = 2lw + 2lh + 2wh

where l is the length of the rectangular solid, w is its width, and h is its height.

The rectangular solid has six faces: a top face, a bottom face, a front face, a back face, a left side face, and a right side face. The formula above accounts for the area of each of these faces.

According to the question:
The formula for the surface area of a rectangular solid is:

SA = 2lw + 2lh + 2wh

We are given that the length (l) of the solid is 5 inches, the width (w) is 2 inches, and the height (h) is 4 inches. Substituting these values into the formula, we get:

SA = 2(5)(2) + 2(5)(4) + 2(2)(4)

= 20 + 40 + 16

= 76 square inches

Therefore, the surface area of the rectangular solid with length 5 inches, width 2 inches, and height 4 inches is 76 square inches. The answer is D.

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The answer on the number line is 1) √2,√3,√4,√5,√6,√7,√8,√9,√10 . 2). A. √62 (between 7 and 8 on the number line),B. √84 (between 9 and 10 on the number line),C.

In mathematics, perfect square is integer that is square of an integer. In other words, perfect square is  non-negative integer that can be expressed as  product of some integer multiplied by itself.

1). The first perfect square is 1, so it is already placed on the number line. The other perfect squares are:

4,9,16,25,36,49 64,81,100

You can place each of these numbers on the number line above the corresponding tick mark.

2). Place the following letters on their approximate place on the number line above.

To place each letter on the number line, you need to estimate its value based on its square root. For example, the square root of 62 is between the square roots of 49 and 64, so you can place letter A between those two numbers on the number line.

Here are the estimated values and approximate placements for each letter:

A. √62 (between 7 and 8 on the number line)

B. √84 (between 9 and 10 on the number line)

C. √23 (between 4 and 5 on the number line)

D.√34 (between 5 and 6 on the number line)

E. √54 (between 7 and 8 on the number line)

F. √12 (between 3 and 4 on the number line)

G. √77 (between 8 and 9 on the number line)

H. √45 (between 6 and 7 on the number line)

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Answer:

To determine if Daniel should have filled out his W-4 form differently to receive a refund, we need to compare his tax liability with the total amount withheld from his paychecks for the year.

If Daniel's tax liability for the year is less than $3,900, he will receive a refund when he files his taxes. If his tax liability is more than $3,900, he will owe additional taxes when he files his taxes.

If Daniel's tax liability is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes.

Therefore, to determine if Daniel should have filled out his W-4 form differently, we need to compare his tax liability with $3,900.

If Daniel's tax liability from part B, question 3, is less than $3,900, he will receive a refund when he files his taxes, as the total amount withheld from his paychecks is more than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to reduce the amount withheld from his paychecks and increase his take-home pay.

On the other hand, if Daniel's tax liability from part B, question 3, is more than $3,900, he will owe additional taxes when he files his taxes, as the total amount withheld from his paychecks is less than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to increase the amount withheld from his paychecks and reduce the amount he will owe when he files his taxes.

If Daniel's tax liability from part B, question 3, is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes, and his W-4 form is correctly filled out for his tax situation.

In summary, whether or not Daniel should have filled out his W-4 form differently to receive a refund depends on his tax liability compared to the total amount withheld from his paychecks. If his tax liability is less than the total amount withheld, he may want to reduce the amount withheld to increase his take-home pay. If his tax liability is more than the total amount withheld, he may want to increase the amount withheld to reduce the amount he will owe when he files his taxes. If his tax liability is exactly equal to the total amount withheld, his W-4 form is correctly filled out for his tax situation.

The smallest value of x in the Poisson distribution is 0, which means that no cars can pass through the intersection in a given minute.

For explain further, a Poisson distribution is a statistical model that describes the probability of a given number of events occurring in a fixed period of time, such as cars passing through an intersection in a minute.

In a Poisson distribution, the probability of x events occurring in a given minute is given by the equation P(x) = e-λλx/x!, where λ is the average number of events in a given minute. In this case, λ would be the average number of cars that pass through the intersection per minute.

The probability of 0 cars passing through the intersection in a given minute is e-λλ0/0! = 1, which is the highest probability in the distribution. Therefore, the smallest value of x in a Poisson distribution is 0.

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Answer:4x + 3x + 2x - 4 - 3

Step-by-step explanation:Hope this helps

A tangent line is a straight line that intersects a circle at only one point, and it is perpendicular to the radius that goes through that point.

Tangent lines are important because they help us determine the relationship between circles and other geometric shapes.
To find the tangent line to a circle, we need to first identify the point of intersection between the circle and the line.
A tangent line to a circle is a line that intersects the circle at exactly one point, called the point of tangency. The tangent line is perpendicular to the radius that intersects the point of tangency.

m = [tex]\frac{-1}{r}[/tex]

where m is the slope of the tangent line, and r is the radius of the circle.

The equation of a tangent line to a circle can be found using the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) is the point of tangency and m is the slope of the tangent line.

The length of the tangent segment from the point of tangency to the point of intersection with a secant line can be found using the formula:

[tex]t^2[/tex] = s1 * s2

where t is the length of the tangent segment, and s1 and s2 are the lengths of the two segments of the secant line that intersect the circle.
In terms of calculating the tangent line, we can use the point-slope formula.

Let's say we have a circle with equation [tex]x^2[/tex] + [tex]y^2[/tex] = [tex]r^2[/tex] and we want to find the tangent line at the point (a,b).

We can start by taking the derivative of the equation with respect to x, which gives us 2x + 2yy' = 0.

Solving for y', we get y' = -x/y.

Then, we substitute the values of x and y at the point of intersection (a,b) to get the slope of the radius at that point.

Finally, we take the negative reciprocal of that slope to get the slope of the tangent line, and use the point-slope formula to find the equation of the tangent line.
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The values for the variables x and y in the parallelogram are equal to 10 and 17 respectively.

The parallelogram OPSR have two pairs of parallel sides hence OP = RS and PS = OR.

We shall evaluate for variables x and y as follows:

2x - 1 = x + 9

2x - x = 9 + 1 {collect like terms}

x = 10

y = x + 7

y = 10 + 7 {substituting 10 for x}

y = 17

Therefore, the values for the variable x and y in the parallelogram are equal to 10 and 17 respectively.

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On social issues, progressives think people should be liberated from the ways of the past and able to decide for themselves about how to live.

Progressivism is a political and social philosophy that emphasizes individual liberty, equality of opportunity, and the role of government in protecting citizens from social and economic abuses.Progressives believe that people should be free to make their own choices about how to live their lives and that the government should not interfere with their decisions. They believe that individuals should have the right to make choices regarding their personal lives, including decisions about marriage, sexuality, and reproductive health.Progressives also advocate for the protection of the environment and the promotion of sustainable practices.

They believe that it is the government's responsibility to protect the natural world and to ensure that future generations have access to clean air, water, and food.In addition, progressives advocate for social justice and the elimination of discrimination on the basis of race, gender, sexuality, and religion. They believe that everyone should have equal access to education, healthcare, and other basic services, regardless of their background or socioeconomic status.Overall, progressives believe in the power of individuals to make positive changes in their own lives and in the world around them. They believe that by working together and advocating for social and economic justice, we can create a better future for ourselves and for future generations.

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Answer: 100 < 96

Step-by-step explanation:

x+52+x+42 = 180

2x+94 = 180

2x = 180 - 94

2x = 86

x = 86/2

x = 43

110 < x + 52

110 < 43 + 52

110 < 96

we have found that in the given right triangle with sides 10, 24, and 26, the tangent of the larger acute angle (angle B) is 2.4.

In a right triangle, the tangent of an acute angle is defined as the ratio of the length of the opposite side to the length of the adjacent side. Let us label the sides of the right triangle as follows:

The hypotenuse (the longest side) is 26

One of the acute angles (let's call it angle A) has opposite side length of 10

The other acute angle (let's call it angle B) has opposite side length of 24

To find the tangent of the larger acute angle, which is angle B, we use the formula:

tan(B) = opposite / adjacent

In this case, the opposite side of angle B is 24, and the adjacent side is 10. So we have:

tan(B) = 24 / 10 = 2.4

Therefore, the tangent of the larger acute angle (angle B) is 2.4.

This means that if we draw a line that is tangent to the circle with radius 10 centered at the vertex of angle B, the length of that line will be 24. This is a geometric interpretation of the tangent function, where the tangent of an angle is the length of a line tangent to the unit circle at that angle.

In conclusion, we have found that in the given right triangle with sides 10, 24, and 26, the tangent of the larger acute angle (angle B) is 2.4.

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Answer:

(-1,1)

Step-by-step explanation:

The probability of obtaining an increasing (non-decreasing) sequence after 4 draws with replacement from 6 balls labelled 1-6 is 1/15.

To explain the answer, we can first consider the number of possible combinations of four numbers that can be drawn from the six numbers. Since each draw is done with replacement, each draw has the same probability and the same six numbers can be chosen. Thus, there are 6 x 6 x 6 x 6 = 1296 possible combinations.

Next, we can calculate the number of possible increasing (non-decreasing) sequences. If the first number drawn is 1, then the remaining three numbers must be greater than or equal to 1. Thus, the second number can be 1, 2, 3, 4, 5, or 6, the third number can be 1, 2, 3, 4, 5, or 6, and the fourth number must be 6. There are 6 x 6 x 1 = 36 possible increasing sequences if the first number drawn is 1. If the first number drawn is 2, then the second number can be 2, 3, 4, 5, or 6 and the remaining two numbers must be greater than or equal to 2. Thus, the third number can be 2, 3, 4, 5, or 6, and the fourth number must be 6. There are 5 x 5 x 1 = 25 possible increasing sequences if the first number drawn is 2. This process can be repeated for the remaining numbers, 3, 4, 5, and 6. The total number of increasing (non-decreasing) sequences is the sum of these possibilities, which is 36 + 25 + 15 + 6 + 1 = 83.

Therefore, the probability of obtaining an increasing (non-decreasing) sequence after 4 draws with replacement from 6 balls labelled 1-6 is 83/1296 = 1/15.

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The number of feet away is the base of the ladder from the end of the slide, g, as shown is 3 ft.

The base of the ladder from the end of the slide forms a right triangle.

Hypotenuse² = opposite² + adjacent²

Hypotenuse = 5 ft

Opposite = 4 ft

Adjacent = g

So,

Hypotenuse² = opposite² + adjacent²

5² = 4² + g²

25 = 16 + g²

subtract 16 from both sides

25 - 16 = g²

9 = g²

find the square root of both sides

√9 = g

g = 3 ft

In conclusion, the base of the ladder is 3 ft away from the end of the slide.

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Answer: x= 71

Step-by-step explanation:

Since each triangle has a sun of all the angles to equal 180, we can figure what is X.

Therefore , the solution of the given problem of congruence comes out to be the response is option A. ASA.

Two angles are spoken to be congruent when their respective shapes have the same dimensions. Similar to that, if the sides of one form are now exactly the same length as the edges of another figure, the edges are congruent.

Here,

We can identify the sort of congruence between the two triangles based on the provided figure.

We can see that segment AC and segment DF are the only pair of congruent sides shared by the two rectangles.

Additionally, angle A and angle D as well as angle C and angle F are two sets of congruent angles.

In light of this,

we can use the Angle-Side-Angle (ASA)

congruence criterion, which says that two triangles are congruent if they have two pairs of congruent angles and a congruent side between them.

Therefore, the response is A. ASA.

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Answer:

1.5 or about 1 or 2 maybe

hope this helpd