Pls answer question with explanation I will give u branliest if u help (find area of the triangle)

The minimum value of Jeri Dammers' total deductions is $200.68.

Based on the given information, we can calculate the total deductions for Jeri Dammers as follows:

Social Security: Jeri pays 6% of the first S$90,000 of her gross pay towards Social Security. As her gross pay is only $735.00, her Social Security deduction will be:

Medicare: Jeri pays 1.45% of all her income towards Medicare. As her gross pay is $735.00, her Medicare deduction will be:

Federal Income Tax: To calculate the federal income tax, we need to refer to the tax tables provided by the IRS. As the gross pay is only $735.00, Jeri's federal income tax deduction will be very minimal or possibly none.

State Tax: Jeri pays 2% of her gross pay towards state tax. As her gross pay is $735.00, her state tax deduction will be:

Local Tax: Jeri pays 1.5% of her gross pay towards local tax. As her gross pay is $735.00, her local tax deduction will be:

Medical: Jeri has a deduction of $32.00 towards medical expenses.

Union Dues and Others: No information is given about Jeri's union dues or other deductions.

Therefore, the total deductions for Jeri Dammers will be:

We cannot calculate the exact value of Total Deductions without information about Union Dues and Others.

However, the minimum value of Total Deductions would be:

= $44.10 + $10.65 + $88.20 + $14.70 + $11.03 + $32.00

= $200.68

Therefore, the minimum value of Jeri Dammers' total deductions is $200.68.

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See full text below

Find the total deduction The person pays Social Security 6 percent of the first S90,000. Medicare is 1.45 percent of all income Use the tax tables for federal tax The state tax is 2 percent of gross pay and the local tax is 1.5 percent of gross pay. (Remember to add the Medical; Union Dues, and Others for total deduction: FIT Federal Income Tax, FICA Social Security) .4. Jeri Dammers is married and claims 3 allowances.

Dept

Employee

Check Number -3205

Gross Pay -$735.00

Net Pay

44B Jeri Dammers

Tax Deductions

Other Deductions

FIT

FICA

Medicare

State

Local

Medical -32.00

Union

Dues

Others

None of the given numbers make the equation 8/y² + 2 true

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

To solve this problem, we can substitute each of the given numbers (0, 1, 2, 3, 4) for y in the equation 8/y² + 2 and see if the equation is true.

Substituting y=0 would make the denominator of the fraction zero, which is undefined, so y=0 is not a valid choice.

Substituting y=1 would give us:

8/1² + 2 = 8 + 2 = 10

So, 1 is not the answer.

Substituting y=2 would give us:

8/2² + 2 = 8/4 + 2 = 2 + 2 = 4

So, 2 is not the answer.

Substituting y=3 would give us:

8/3² + 2 = 8/9 + 2 = 0.888 + 2 = 2.888

So, 3 is not the answer.

Substituting y=4 would give us:

8/4² + 2 = 8/16 + 2 = 0.5 + 2 = 2.5

So, 4 is not the answer.

Therefore, none of the given numbers make the equation 8/y² + 2 true.

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The correct answer is: Both the mean and median are appropriate measures of center.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical and computational tools to summarize and analyze large sets of data, with the goal of extracting meaningful insights and identifying patterns or trends.

Here,

The mean is the sum of all salaries divided by the number of salaries. In this case, the sum is:

37,000 + 38,500 + 35,000 + 37,000 + 45,000 + 40,000 + 75,000 = 307,500

And there are seven salaries. Therefore, the mean is:

307,500 / 7 = 43,928.57

The median is the middle value when the salaries are arranged in order from lowest to highest. First, we need to arrange the salaries in order:

35,000, 37,000, 37,000, 38,500, 40,000, 45,000, 75,000

The median is the middle value, which is 40,000.

The mode is the value that appears most frequently in the set of salaries. In this case, both 37,000 and 40,000 appear twice, so there is no unique mode.

Since the salaries are not symmetrically distributed, the mean is not a perfect measure of central tendency. However, it can still provide useful information about the "average" salary. On the other hand, the median is resistant to extreme values and may be a better measure of central tendency for this dataset. Therefore, both the mean and median are appropriate measures of center for this dataset.

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Answer:

  3 fish, 2 dogs

Step-by-step explanation:

You want a point on the grid representing the solution to the relations, Kingston has 5 pets, and the number of fish is 1 more than the number of dogs.

Each relation can be plotted as a line on the graph:

  f + d = 5 . . . . . . . . the total number of pets is 5

  f = d + 1 . . . . . . . . there is 1 more fish than dogs

The attached plot shows these lines cross at coordinates ...

  (fish, dogs) = (3, 2)

The red circle is the point on the grid that represents the numbers of pets Kingston has.

__

Additional comment

The equations are plotted only for their respective practical domains. It makes no sense to plot numbers of pets in a range outside 0 to 5.

======================================================

Explanation:

The triangle on the left has a = 8 as one of the legs, and c = 17 as the hypotenuse. Use the pythagorean theorem to find the missing side.

[tex]a^2+b^2 = c^2\\\\8^2+b^2 = 17^2\\\\64 + b^2 = 289\\\\b^2 = 289-64\\\\b^2 = 225\\\\b = \sqrt{225}\\\\b = 15\\\\[/tex]

This is the height of the parallelogram as marked by the dashed line.

The base is 9 units across the bottom. We won't use 8 as the base because it's too short along the top.

area = base*height

area = 9*15

area = 135 square units

It will take 4.645 months to pay off the loan, which rounds up to 5 months.

Interest rate is the percentage of the principal amount charged by a lender or creditor for the use of borrowed money. In other words, it is the cost of borrowing money, usually expressed as an annual percentage rate (APR) or as a periodic rate for a specific time period.

Given:

Total amount of the loan (A) = $70,000

Monthly interest rate (i) = 0.25% = 0.0025

Monthly payment (P) = $250

We need to find the number of monthly payments (N) needed to pay off the loan.

Using the given formula:

N = (-log(1 - i×A/P))/(log(1+i))

Substituting the values we get:

N = (-㏑(1 - 0.0025×70000/250))/(log(1+0.0025))

N = (-㏑(0.72))/(㏑1.0025))

N = (-(-0.337))-4.308

N = 4.645 (approx.)

Therefore, it will take approximately 4.645 months to pay off the loan, which rounds up to 5 months.

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The value of the expression sin⁻¹(cos(2)) sin⁻¹(cos(-π/2)) is 0.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. These expressions can be used to represent mathematical relationships and patterns in a variety of contexts.

Algebraic expressions can include one or more variables, which are letters or symbols that represent unknown values or values that can vary. For example, in the expression 3x + 5, "x" is the variable.

To evaluate the expression sin⁻¹(cos(2)) sin⁻¹(cos(-π/2)), we first need to determine the value of cos(2) and cos(-π/2).

cos(2) cannot be evaluated directly since the range of cosine function is -1 to 1, and 2 is outside this range. Therefore, we can conclude that sin⁻¹(cos(2)) does not exist.

Next, we can evaluate cos(-π/2) using the unit circle, which is a circle of radius 1 centered at the origin of the coordinate plane. The angle -π/2 is located on the negative y-axis, where the cosine function is 0. Therefore, cos(-π/2) = 0.

Substituting this value into the expression, we get:

sin⁻¹(0) = 0

Therefore, the value of the expression sin⁻¹(cos(2)) sin⁻¹(cos(-π/2)) is 0.

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So, the area of triangle DEF is 312.5 square feet, using the scale factor of 5/2.

the context of mathematics and geometry, dilation is a transformation that changes the size of an object. It is a type of transformation that scales an object by a certain factor, without changing its shape or orientation.

In other words, dilation involves multiplying the coordinates of a geometric figure by a fixed constant, which results in an enlarged or reduced version of the original figure. The constant is known as the dilation factor or the scale factor, and it can be any real number greater than zero.

For example, if we dilate a circle by a scale factor of 2, every point on the circle will be moved twice as far away from the center, resulting in a new circle with a diameter twice as large as the original.

Let's start by using the formula for the perimeter of a triangle:

[tex]Perimeter of triangle ABC = AB + BC + AC = 65.5 feet[/tex]

We can also use Heron's formula to find the area of triangle ABC:

[tex]Area of triangle ABC = \sqrt(s(s-AB)(s-BC)(s-AC))[/tex]

where s is the semi perimeter of the triangle:

[tex]s = (AB + BC + AC) / 2[/tex]

We can use these equations to solve for the side lengths of triangle ABC:

[tex]AB + BC + AC = 65.5[/tex]

[tex]s = (AB + BC + AC) / 2[/tex]

[tex]25 = \sqrt(s(s-AB)(s-BC)(s-AC))[/tex]

Solving for AB, BC, and AC gives us:

AB = 15

BC = 20

AC = 30.5

Now, let's dilate triangle ABC by a factor of 5/2 to create triangle DEF. This means that each side of triangle ABC will be multiplied by 5/2 to get the corresponding side length of triangle DEF.

DE = AB * (5/2) = 37.5

EF = BC * (5/2) = 50

DF = AC * (5/2) = 76.25

Now we can use Heron's formula again to find the area of triangle DEF:

s = (DE + EF + DF) / 2 = 81.875

Area of triangle DEF = sqrt(s(s-DE) (s-EF) (s-DF)) = 312.5 square feet

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Answer:

  $1529.59

Step-by-step explanation:

You want the balance in an account earning 8.5% interest compounded continuously for 5 years if the initial balance was $1000.

The formula for the account balance is given as ...

  F = P·e^(rt)

  F = 1000·e^(0.085·5) ≈ 1529.59

The balance after 5 years is $1529.59.

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The area of ΔSTU is approximately 6358 cm², to the nearest square centimeter.

We can find the area of ΔSTU using the given side and angles by applying the formula:

Area = (1/2)ab x sin(C)

Where a and b are the lengths of two sides of the triangle and C is the angle between them.

We have one side, s, which is 210 cm. We also have two angles, ∠S = 115° and ∠T = 23°. We can find the third angle, ∠U, by using the fact that the sum of angles in a triangle is 180°:

∠U = 180° - ∠S - ∠T

∠U = 180° - 115° - 23°

∠U = 42°

Now, we have ∠S = 115°, ∠T = 23°, and ∠U = 42°. We can use the Law of Sines to find the other two sides of the triangle. Let side t be opposite ∠T and side u be opposite ∠U. Then:

s / sin(S) = t / sin(T) = u / sin(U)

We can now find t and u using the known values:

t / sin(23°) = 210 / sin(115°) = 90.5

S = 1/2 x 90.5 x 210 x sin  42°

=6358 cm²

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Answer:

The population of yeast cells is growing at a rate of approximately 46.41% per hour.

Step-by-step explanation:

To find the rate of growth of the yeast population, we can use the exponential growth formula:

P(t) = P₀ * e^(kt)

where P(t) is the population size at time t, P₀ is the initial population size, k is the growth rate constant, and t is the time elapsed.

In this case, the initial population size P₀ is 5, the final population size P(5) is 160, and the time elapsed t is 5 hours. We want to find the growth rate constant k.

Plugging in the values, we get:

160 = 5 * e^(5k)

Divide by 5:

32 = e^(5k)

Now, take the natural logarithm (ln) of both sides to isolate k:

ln(32) = ln(e^(5k))

Using the property that ln(a^b) = b * ln(a):

ln(32) = 5k * ln(e)

Since ln(e) = 1:

ln(32) = 5k

Now, divide by 5:

k = (ln(32)) / 5 ≈ 0.4641 (rounded to four decimal places)

So, the growth rate constant k is approximately 0.4641 per hour.

To express the rate of growth as a percentage, multiply the growth rate constant by 100:

0.4641 * 100 ≈ 46.41%

The population of yeast cells is growing at a rate of approximately 46.41% per hour.

The rate of growth of the yeast cells is 31 cells per hour.

The rate of growth of the yeast cells can be calculated by finding the average rate of change in the population over the given time period.

In this case, the population increased from 5 to 160 in 5 hours, so the average rate of growth can be calculated as (160 - 5) / 5 = 31. The rate of growth of the yeast cells is 31 cells per hour.

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The correct answer is: A. Y intercept will be less and X will be less.

A linear function's slope is a gauge of how steep the line is. Between any two points on the line, it is the ratio of the change in the y-coordinate to the change in the x-coordinate. The formula is used to compute it:

slope equals (y2 - y1)/. (x2 - x1)

where any two points on the line (x1, y1) and (x2, y2) are.

The company's expenses will rise once it begins paying a driver at a rate of 0.25 cents per mile, which means its profit will decline. The profit curve on the y-axis will go vertically downward as a result of this. But, because the cost of paying the driver is fixed per mile and has no impact on the profit per mile, the slope of the line—which reflects the profit per mile—will stay the same.

Hence, A. Y intercept will be less and X will be less is correct.

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The equation that has the solution x = -2 is:

O x² + 3x + 12 = 0

The probability that a person has the virus given that they have tested positive is 3.24%.

The probability that a person does not have the virus given that they test negative is 99.93%.

Here we have following probabilties:

P(A)=1/300, P(A')=1-(1/300)=299/300

P(B|A)=0.80, P(B|A')= 0.08

From the law of total probability is

P(B)=P(B|A)P(A)+P(B|A')P(A')

[tex]=0.80\cdot \frac{1}{300}+0.08\cdot \frac{299}{300}\\\\=0.0824[/tex]

By the Baye's theorem we have

P(A|B) = [tex]\frac{P(B|A)P(A)}{P(B)}\\\\=\frac{0.80\cdot \frac{1}{300}}{0.0824}\\\\=0.0324[/tex]

So the probability that a person has the virus given that they have tested positive is 3.24%.

(b)

From the law of total probability is

P(B')=P(B'|A)P(A)+P(B'|A')P(A')

[tex]=0.20\cdot \frac{1}{300}+0.92\cdot \frac{299}{300}\\\\=0.9176[/tex]

By the Baye's theorem we have

P(A'|B')=[tex]\frac{P(B'|A')P(A')}{P(B')}\\\\=\frac{0.92\cdot \frac{299}{300}}{0.9176}\\\\=0.9993[/tex]

So the probability that a person does not have the virus given that they test negative is 99.93%.

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The function g(x) is a cubic function, which is a transformation of the cube root parent function, f(x) = 3√x. The equation for g(x) is g(x) = 3x3, where a = 3, b = 0, c = 0, and d = 0.

Function is a set of instructions or commands that can be used to perform a specific task. It is a reusable code that can be used over and over again to perform a similar task. Functions are used to structure programs, making them easier to read, understand, and debug. Functions are also used to divide a large program into smaller, more manageable parts.

The function g(x) is a cubic function, which is a transformation of the cube root parent function, f(x) = 3√x. A cubic function is a polynomial of degree 3, where the highest exponent of the variable is 3. The general equation for a cubic function is y = ax3 + bx2 + cx + d, where a, b, c, and d are constants. This equation can be rearranged to express the function in terms of x, as follows:

g(x) = ax3 + bx2 + cx + d

By plugging in the values for f(x), we can determine the values of a, b, c, and d. We can start by setting f(x) equal to g(x).

3√x = ax3 + bx2 + cx + d

By taking the cube root of both sides, we can determine the value of a:

a = 3

Next, we can substitute this value into the equation for g(x):

g(x) = 3x3 + bx2 + cx + d

From this, we can see that b = 0, c = 0, and d = 0. Therefore, the function g(x) is a cubic function with equation g(x) = 3x3.

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The expression x^4 + 5x^2 - 8 in quadratic form is: (x^2 + 8)(x^2 - 1)

It should be noted that to express the given expression x^4+5x^2 - 8 in quadratic form, we need to identify a suitable substitution that will allow us to rewrite the expression as a quadratic in a new variable.

One possible substitution is to let u = x^2, so that we can write:

x^4 + 5x^2 - 8 = u^2 + 5u - 8

We can then factor this quadratic expression as:

u^2 + 5u - 8 = (u + 8)(u - 1)

Substituting back u = x^2, we get:

x^4 + 5x^2 - 8 = (x^2 + 8)(x^2 - 1)

Therefore, the expression x^4 + 5x^2 - 8 in quadratic form is:

(x^2 + 8)(x^2 - 1)

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Total percentage of adults who preferred soccer or baseball: is 25%

what is percentage ?

Percentage is a way of expressing a number as a fraction of 100. It is often denoted by the symbol "%". For example, 50% means 50 out of 100, or 50/100 as a fraction.

In the given question,

The circle graph shows the percentage of adults who preferred each sport. To find the percentage of adults who preferred soccer or baseball, we need to add the percentages for soccer and baseball.

Soccer: 11%

Baseball: 14%

Total percentage of adults who preferred soccer or baseball: 11% + 14% = 25%

Therefore, 25% of adults preferred soccer or baseball.

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To create points for the graph of f(x) = (2/3)x - 1, we can choose values of x and calculate the corresponding values of f(x). See explanation below and attached graph.

To create points for the graph of f(x) = (2/3)x - 1, we can choose values of x and calculate the corresponding values of f(x). For example:

So, we have the following points for the graph: (-3, -4), (-2, -2 1/3), (-1, -1 2/3), (0, -1), (1, -1/3), (2, 1/3), (3, 1).

We can now plot these points on a graph, with x-values on the horizontal axis and f(x) values on the vertical axis. We can label the horizontal axis as "x" and the vertical axis as "f(x)" or "y".

Note that the graph of f(x) = (2/3)x - 1 is a straight line with slope 2/3 and y-intercept -1.

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the the coordinates of the resulting point are (18, -8). of the resulting point are (18, -8).

What is center of dilation?

The center of dilation is a fixed point in the plane.

Starting with point B(5, -2), if we move it 4 units to the right and 2 units down, we get:

B'(9, -4)

Next, we need to dilate the point by a factor of 2, using the origin as the center of dilation. This means we need to multiply both the x-coordinate and y-coordinate of B' by 2.

So, doubling the x-coordinate of B' gives:

2 × 9 = 18

And doubling the y-coordinate of B' gives:

2 × (-4) = -8

Therefore, the coordinates of the resulting point are (18, -8).

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Answer: x = -1 and x = 9

Step-by-step explanation:

Lets solve this equation step by step

1. Simplify both sides of the equation

x^2 - 8x + 16 = 25

2. Subtract 25 from both sides

x^2 - 8x + 16 - 25 = 25 - 25

3. Factor the left side of the equation

(x + 1) (x - 9) = 0

4. Set the factors equal to zero

x + 1 = 0 or x - 9 = 0

Thus your answers are x = -1 and x = 9

You can check by inputting the values into the original equation

(-1 - 4)^2 = 25 and (9 - 4)^2 = 25

Answer:

x = 7

Step-by-step explanation:

8x + 5 + 3x + 8 = 90

11x + 5 + 8 = 90

11x + 13 = 90

11x = 77

x = 7

Let's Check

8(7) + 5 + 3(7) + 8 = 90

56 + 5 + 21 + 8 = 90

61 + 21 + 8 = 90

82 + 8 = 90

90 = 90

So, x = 7 is the correct answer!

Answer:

7

Step-by-step explanation:

First, collect common factors. This means put the x's together and the regular numbers together.

8x+3x=11x

5+8=13

11x+13=90

Subtract 13 from both sides

11x+13=90

    -13  -13

11x=77

Divide 77 by 11

x=7

Hope this helps! :)

The weight of the diamonds in each lot is 4.9 pounds.

Here, the fractional idea can be used. A fraction represents a portion of a total. A fraction is a numerical figure that designates a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain value, or an object.

A cargo of half a pound's worth of diamonds was received by a diamond trader. He separated the stones into 4 equal lots and sold them to jewelers so they could be used to make necklaces and rings.

Total shipment = 7/10 pound

number of equal lots = 7

then,   7 x weight = 7/10

weight = 4.9

Therefore, the weight of each lot is 4.9 pounds.

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Answer: 30 and 5

Step-by-step explanation:

The value of p(B/A) represents the probability that event B will occur given that event A has occurred.

It is a measure of conditional probability, which is calculated using the formula:

p(B/A) = p(A ∩ B) / p(A)

Where:

Therefore, To calculate the value of p(B/A), you need to know the probabilities of A and B, as well as the probability that both occur together.

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Answer:

The train pulled by teeth is 1.45 metric tons heavier or 1 9/20 metric tons heavier than the train pulled with a beard.

Step-by-step explanation:

Least Common Denominator (LCD): 20

2 3/4 metric tons = 2 15/20 = 2.75 metric tons

4 1/5 metric tons = 4 4/20 = 4.2 metric tons

FRACTION:

4 4/20 = 84/20

2 15/20 = 55/20

DECIMAL:

4.20-2.75 = 1.45 metric tons

Difference In Weight: (84-55)/20 = 29/20 = 1 9/20 = 1.45 metric tons

4.2/2.75 = 52.727273% heavier

HOPE THIS HELPS!!!

Answer: t=2.59

Step-by-step explanation:

This is a matter of clearing out the equation

set 1151=800e^0.14t

1151/800=e^0.14t

ln(1151/800)/0.14=t

t=2.59

Angle A equals 41.81°

c:

Answer:

[tex] \frac{1}{2} \times 50 \times \frac{1}{4} = 50 \times \frac{1}{8} = \frac{25}{4} = 6 \frac{1}{4} [/tex]

The range in ages for the middle 50% of viewers is the interquartile range (IQR), which is the height of the box in the box plot. The best approximation is C) 20.

The interquartile range (IQR) is a measure of statistical dispersion that represents the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of a dataset. It is a useful measure of spread because it is not influenced by outliers.

Range is a statistical measure that represents the difference between the highest and lowest values in a set of data. It provides a simple indication of the spread or variability of the data.

According to the given information:

A box plot is a graphical representation of the distribution of a dataset. The box in the plot represents the middle 50% of the data, with the lower end of the box representing the 25th percentile (Q1) and the upper end of the box representing the 75th percentile (Q3). The distance between Q1 and Q3, which is represented by the height of the box, is called the interquartile range (IQR).

To answer the question, we need to find the best approximation for the range in ages for the middle 50% of viewers. From the box plot, we can see that the height of the box is approximately 20 units, which is the IQR. Therefore, the best approximation for the range in ages for the middle 50% of viewers is option C) 20. This means that 50% of viewers are between Q1-10 to Q3+10, where Q1 is the 25th percentile and Q3 is the 75th percentile.

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Therefore , the solution of the given problem of sequence comes out to be the sequence's roughly 10th term is 0.049 (rounded to the closest thousandth).

A sequence is a grouping of range numbers, or "terms." There are phrases like 2, 5, but choose 8. Certain narrative arcs can be made to go on forever by choosing to capitalise on a certain pattern that they exhibit. Use the designs 2, 5, 8, and then 3 to lengthen it. In a list of words for words, there exist formulas that show where to look. In mathematics, a sequence is a group of items that are ordered in some way.

Here,

The first three terms in the given sequence are 15, 9, and 27/5.

We must determine the pattern or rule that underlies the sequence in order to determine the tenth word.

=>  9 = 15 * (27/5) / 15

=>  27/5 = 9 * (27/5) / 9

Thus, each term is obtained by multiplying the constant value by (27/5) / 15, which may be written as 9/25.

In order to get the next phrase in the series, we can keep multiplying the preceding term by 9/25 using this constant value:

=>  9 * (9/25)⁷

When we compute this expression, we obtain:

=>  (Rounded to the closest thousandth) 9 * (9/25)⁷

As a result, the sequence's roughly 10th term is 0.049 (rounded to the closest thousandth).

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