[BRAINLIEST] The first two terms of a geometric sequence are 27 and 9. What is the fourth term?

The equation using the identity rule is a^3 - 3a^2b + 3ab^2 - b^3

The equation (a-b)^3 can be expanded using the binomial theorem, where the variables are the two numbers (a and b),

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

(a-b)^3

When expanded, we have

a^3 - 3a^2b + 3ab^2 - b^3

Hence, the expansion is a^3 - 3a^2b + 3ab^2 - b^3

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Answer:

Let's say x is the number of quarters. Then the number of nickels is x + 3.

The total value of the quarters is 0.25x, and the total value of the nickels is 0.05(x + 3).

The total value of both types of coins is 4.35:

0.25x + 0.05(x + 3) = 4.35

0.25x + 0.05x + 0.15 = 4.35

0.3x + 0.15 = 4.35

0.3x = 4.2

x = 14

So Sofia has 14 quarters and 17 nickels.

Answer:

.25q + .05(q - 3) = 4.35

Step-by-step explanation:

Let q = the number of quarters

Let n = the number of nickels

.25q + .05n = 4.35

n = q- 3

Substitute q - 3 for n

.25q + .05(q - 3) = 4.35

Each polynomial given is associated with the given factoring technique in the second column. a. GCF b. grouping c. none d. the difference of two squares e. Sum and product f. Perfect square trinomial.

To factorize an algebraic statement, we first identify the terms' highest common factors and then arrange the terms into groups in accordance with those groups. In plain English, factorization is the process through which an algebraic expression gets expanded in the opposite direction.

Each polynomial given is associated with the given factoring technique in the second column.

a. grouping

b. GCF

c. none

d. the difference of two squares

e. Sum and product

f. Perfect square trinomial

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The measure of ∠XYZ is 130°. Option C is the correct option.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. Sometimes it is stated to have exactly two sides that are the same length, and other times it is stated to have at least two sides that are the same length, with the latter version including the equilateral triangle as an exception.

Given that the length of YZ = YX and ∠YZX = 25°.

There is an agreement between two sides. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly.

According to the property of the isosceles triangle:

∠YXZ = ∠YZX = 25°

The sum of all angles of a triangle is 180°.

Therefore,

∠YXZ + ∠YZX + ∠XYZ = 180°

25° + 25° +  ∠XYZ = 180°

50° +  ∠XYZ = 180°

∠XYZ = 180° - 50°

∠XYZ = 130°

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The volume of a container is found to be 38.5 in³. Its volume in units of cm³ will be 630.902 cm³.

Unit conversion is a process with multiple steps involving multiplication or division by a numerical factor, particularly a conversion factor. The procedure may also demand the selection of the correct number of substantial digits and rounding. Different units of conversion are used to calculate different parameters.

We convert the units of any quantity to understand better. For example, the length of a table is measured in inches; on the other hand, the length of a garden is measured in yards to make it simple to comprehend. We cannot calculate the length of a finger in miles.

To create a formula to convert 38.49 in³ to cm³, we start with the fact that 1 inch is 2.54 centimetres, which means that you multiply inches by 2.54 to get centimetres. We can therefore make the following equation:

inches × 2.54 = centimeters

(inches × 2.54)³ = centimeters³

inches³ × 16.387064 = centimeters³

in³ × 16.387064 = cm³

Now that we have the in³ to cm³ formula, we can calculate and convert 38.5 in³ to cm³. Here is 38.5 in³ converted to cm³, along with the math and the formula:

= in³ × 16.387064

= 38.5 × 16.387064

= 630.902 cm³

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The distance between the van and Smithville is changing at a rate of 40.83 miles per hour.

To calculate how fast the distance between the van and Smithville is changing, we can use the following steps:

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The provided Product 9/10 * 20/21 has the simplest form, which is 6/7.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given a fraction multiplication 9/10 × 20/21

Simplification Using PEMDAS

=>  9/10 × 20/21

=> 9* 20 /21 *10

=> 6/7

Therefore, the simplest form of the given Product 9/10 × 20/21 is 6/7.

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The interquartile range (IQR) is a measure of spread in a dataset and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).

The IQR of the ‘gre’ variable can be calculated using the formula IQR = Q3 - Q1. This tells us the range of values that lie between the 25th and 75th percentile.

In this case, the IQR of ‘gre’ is calculated to be 210 - 340 = 70. This means that 70% of the distribution data falls within the interquartile range of ‘gre’. This can be further visualized on a boxplot, which shows the median, upper and lower quartiles. The IQR is represented by the box and the whiskers that extend out from it, indicating the range of values that lie within the interquartile range.

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Answer:

[tex]\frac{2}{15}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] - [tex]\frac{1}{5}[/tex]

[tex]\frac{5}{15}[/tex] - [tex]\frac{3}{15}[/tex] = [tex]\frac{2}{15}[/tex]

Answer:

Jada's Coffee Shop used 1/3 of a carton of whole milk and 1/5 of a carton of nonfat milk on Saturday. Therefore, the amount of whole milk used was 2/3 of a carton, and the amount of nonfat milk used was 1/5 of a carton. The difference between the two is 2/3 - 1/5, which is equal to 7/15 of a carton. Therefore, Jada's Coffee Shop used 7/15 of a carton more whole milk than nonfat milk.

The percent change for this camera is 9.756%.

Markdown percentage is defined as the decrease in the price which is calculated as a percent of the selling price.

Given that,

Original selling price of the camera = $315

Selling price has been decreased to $287

Mark down percentage = (315 - 287) / 287

                                        = 0.09756

                                        = 9.756%

Hence the rate of the markdown percentage is 9.756%.

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The length of side CE is 5/6 units

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

The triangle

On the triangle, we have the following ratio

x - 2 : 2 = x + 1 : 8

Express as fraction

(x - 2)/x = (x + 1)/8

So, we have

8x - 16 = 2x + 1

Evaluate the like terms

6x = 17

So, we have

x = 17/6

The value of CE is

CE = x - 2

CE = 17/6 - 2

So, we have

CE = 5/6

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The statement that best describes the graph of linear Inequality in two variables is a straight line graph. That is option A.

A linear Inequality is defined as the expression that can be used to represent the relationship between two variables using inequality symbols such as '<', '>', '≤' or '≥'.

When a linear Inequality between two variables are being represented in a graph, a straight line graph is obtained because the inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

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Answer:(-2,4) (6,-2)

Step-by-step explanation: 1.We solve the equation with x = -2 and get y = 4 , (-2,4) which is a coordinate

2. we solve the equation with x=6 and gets y= -2 (6,-2) is a coordinate


Mark these two coordinates to get a line in the graph!

we roll a red and a green die. let a = ""the red die shows a 2 or a 5"" and b = ""the sum of the two dice is at least 7."" are a and b independent.

Probability plays a vital role in all fields like the economy, medicine, etc. It intends to forecast the events that will be happening in the future. So its values never come in negative. It has two main rules.

Rule of multiplication

Rule of addition.

The green and red dice are rolling,

the sample space = {(1,1)(1,2)......(1,6) (2,1).....(2,6)(3,1)....(3,6).......(6,6)}

let A be the event of the red shown a 2or a or 5

let B be the event of the sum of the two dice is at most 7.

The probability of the red die shown as a 2 or a 5

total outcome =36

favorable case =24

the probablity=24/36=4/6=2/3

let B be the event of the sum of the two dice is at most 7.

p(B)=21/36=0.5833

p(AnB)=13/36=0.3611

P(A)P(B)=0.3888

Hence a and b are independent.

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The number of piles when the newspaper is 15 will be 3.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

20 newspapers in 4 piles.

We know that the ratio of the newspaper to pile is constant. Then 15 newspapers in piles will be given as,

15 / x = 20 / 4

15 / x = 5

x = 15 / 5

x = 3

The number of piles when the newspaper is 15 will be 3.

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Weibull distribution is a continuous distribution related to the shape of parameter where k∈(0 , ∞) with g distribution : g(t) = 1- exp ( -t^k) , t ∈[0, ∞).

Other distribution is probability density function defined as

g(t) = kt^( k -1) exp ( -t^k)  , t ∈ (0, ∞).

Therefore, Weibull distribution is defined on basis of shape parameter k,

g(t) = 1- exp ( -t^k) , t ∈[0, ∞) and other distribution includes probability density function is   g(t) = kt^( k -1) exp ( -t^k)  , t ∈ (0, ∞).

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The performance score associated with the c grade is 157, and the performance score associated with the a grade is 355.

The z-score is a numerical measurement used in statistics to indicate how many standard deviations a particular value is from the mean of a dataset. It is calculated by subtracting the mean from the data point and dividing the result by the standard deviation. The resulting number is the z-score. The z-score is a useful tool for identifying outliers in a dataset, as values with z-scores that are too high or too low can be easily identified. Z-scores can also be used for comparing data points from different datasets, as z-scores are independent of the mean and standard deviation of the dataset. Z-scores can also be used for comparing data points from different datasets, as z-scores are independent of the mean and standard deviation of the dataset. This makes them ideal for normalizing data from different sources or for comparing data from different time periods or from different locations.

The z-score associated with the 9th percentile from the standard normal distribution is -1.28, and the z-score associated with the 91st percentile is 1.28.

b. (2 points) what are the performance scores associated with the c grade and the a grade?

The performance score associated with the c grade is 157, and the performance score associated with the a grade is 355.


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1/8 is the 9th term in sequence .

What does sequence look like in math?

A sequence is a collection of numbers in a particular order. To go forward in the defined pattern, three dots are shown. A phrase is used to refer to each number in the series.

                            One is the first word, three is the second, five is the third, and so on, in the series 1, 3, 5, 7, 9,... There are groups of numbers called number sequences that adhere to a pattern or norm. Arithmetic sequences are those in which the rule is to add or remove a number each time. A geometric sequence is one where the rule is to multiply or divide by a specific amount each time. A word is used to describe each number in a sequence.

a₉ = 1/8

the general term through the pattern aₙ = 32(1/2)ⁿ⁻¹

  Substitute and calculate  aₙ = 1/8

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The benefit of using a curve over a histogram is that, it is a useful tool for visualizing data distributions, curves provide a more detailed and flexible representation of the data and offer additional advantages in terms of resolution, flexibility, parametric modeling, and comparison.

Visualizing data is an essential aspect of understanding the underlying patterns and relationships. In data analysis, two popular ways of visualizing data are histograms and curves. While both of these visualization techniques serve the purpose of summarizing data, each of them has its unique benefits and limitations.

Resolution: One of the main benefits of using a curve over a histogram is that a curve provides a higher resolution representation of the data. A curve can capture finer details of the data distribution that might get lost in a histogram due to the binning process.

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The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes in the sample space.

Outcome(s): An outcome is a possible result of a random experiment. For example, in a coin flip, an outcome could be either heads or tails.

Sample Space: The sample space is the set of all possible outcomes of a random experiment. In the coin flip example, the sample space would be {heads, tails}.

Event(s): An event is a subset of the sample space that includes one or more outcomes. For example, if the event is getting heads in the coin flip, the event would be {heads}. The probability of an event is the number of outcomes in the event divided by the total number of outcomes in the sample space.

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Step-by-step explanation:

To mentally divide by 0.1, 0.01 and 0.001, you can use the following tips:

Dividing by 0.1 is equivalent to multiplying by 10.

Dividing by 0.01 is equivalent to multiplying by 100.

Dividing by 0.001 is equivalent to multiplying by 1000.

The percent increase in the height of the seedling is, 23%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

A seedling Jeffery planted in 2009 was 5cm tall in 2010 it was 120 cm

i.e. increase in the height = 120-5

                                           =115 cm

now,

the percent increase in the height of the seedling is,

115/5*100

=23%

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The value of the original fraction is expressed as; 36/45

Let the numerator be x and let the denominator be y. Thus;

Original fraction = x/y

Reciprocal of fraction = y/x

x/y = 4/5

Cross multiply to get;

5x = 4y

4y - 5x = 0   -----(1)

The numerator is now increased  by 9 and the new fraction equals the reciprocal of the value of the original fraction. Thus;

(x + 9)/y = 5/4

Cross multiply to get;

4x + 36 = 5y

5y - 4x = 36    ------(2)

Multiply eq 1 by 4 and eq 2 by 5 to get;

16y - 20x = 0   -----(3)

20y - 20x = 180  ----(4)

Subtract eq 3 from 4 to get;

4y = 180

y = 180/4

y = 45

5x = 4y

x = (4/5) * 45

x = 36

Original fraction is; 36/45

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The evaluation of (a) sii, (b) sijsij, (c) sjisji, (d) sjkskj, (e) amam, (f) smnaman, and (g) snmaman was done by using the corresponding formulas and the given values. The results were 3, 6, 6, 6, 2, 6, and 24 respectively.

To evaluate (a) sii, we will use the formula sii = ai + bi. In this case, ai = 1 and bi = 2, so sii = 1 + 2 = 3.

To evaluate (b) sijsij, we will use the formula sijsij = ai × bi. In this case, ai = 2 and bi = 3, so sijsij = 2 × 3 = 6.

To evaluate (c) sjisji, we will use the formula sjisji = aj × bj. In this case, aj = 2 and bj = 3, so sjisji = 2 × 3 = 6.

To evaluate (d) sjkskj, we will use the formula sjkskj = ak × bk. In this case, ak = 3 and bk = 2, so sjkskj = 3 × 2 = 6.

To evaluate (e) amam, we will use the formula amam = ai × aj. In this case, ai = 1 and aj = 2, so amam = 1 × 2 = 2.

To evaluate (f) smnaman, we will use the formula smnaman = ai × aj × ak. In this case, ai = 1, aj = 2, and ak = 3, so smnaman = 1 × 2 × 3 = 6.

To evaluate (g) smnaman, we will use the formula smnaman = ai × aj × ak × bm. In this case, ai = 1, aj = 2, ak = 3, and bm = 4, so smnaman = 1 × 2 × 3 × 4 = 24.

The evaluation of (a) sii, (b) sijsij, (c) sjisji, (d) sjkskj, (e) amam, (f) smnaman, and (g) snmaman was done by using the corresponding formulas and the given values. The results were 3, 6, 6, 6, 2, 6, and 24 respectively.

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Answer:

Where are the choices?

Step-by-step explanation:

Luna received 9 dollar for each pair of sneakers. She got total 18 dollars for her 2 pairs of sneakers. The equation which we can use to find the amount of money x= total money spent+ money remained.

It is given that, total pair of jumper sneakers she sold at the secondhand market = 2 pairs.

So, total sneakers= 4

Let, she got total x dollar for her jumpy sneakers.

So, here, total money spent= 12 dollars

total money left with her= 6 dollars

Hence, x= 12+ 6 dollars = 18 dollars.

So, total money she got = 18 dollars.

Money for each pair of sneakers= 9 dollars.

Equation for x= total money spent+ money left with her.

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The probability of selecting at least one red marker probability = [tex]\frac{1}{5}[/tex]

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that,

In the box contains ,

Black markers are = 5

Blue markers are = 3

Red markers are = 2

The given scenario will not affect the required probability as the selection of the second one is a case of future.

We need to find the probability of the first marker is red.

The probability is,

Probability =  [tex]\frac{red marker}{total markers}[/tex]

Total markers = 5 + 3 +2

= 10

Probability = [tex]\frac{2}{10}[/tex]

Probability = [tex]\frac{1}{5}[/tex]

The probability of selecting at least one red marker probability = [tex]\frac{1}{5}[/tex]

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The correct option: C.) 3.75 x 10^6 m.  The size of other larger cell is found as the 3.75 x 10^6 m , written in the scientific notation.

The size of one smaller cell : 2.5 x 10^-9 m.

The size of other larger ball: 1.5 x 10^3 times larger than first ball.

For the size of other larger ball:

Size = 2.5 x 10^-9 x 1.5 x 10^3

Size = 2.5 x 1.5 x 10^(-9+3)

Size = 3.75 x 10^6 m

Thus, the size of other larger cell is found as the 3.75 x 10^6 m , written in the scientific notation.

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The correct question is-

The size of a certain cell is 2.5 x 10^-9 m. Another cell is 1.5 x 10^3 times larger. How large is the larger cell in scientific notation?

A.) 4 x 10^-27m

B.) 4 x 10^-12m

C.) 3.75 x 10^6m

D. 3.75 x 10^-6m

The initial amount a is 1250 and the rate of decay r is 0.865 (86.5%). When t = 3, the function h(t) = 1250(0.865)3 = 587.356. Rounded to the nearest tenth, the answer is 587.4.

To solve this exercise, you need to use the equation

h(t) = a(r)^t,

Where a is the initial amount and r is the rate of decay.

In this example,

Plugging in t = 3 into the equation gives

h(t) = 1250(0.865)^3 = 587.356.

To round this to the nearest tenth, you need to look at the number to the right of the decimal point, which is the 6 in 587.356. Since the 6 is 5 or greater, you need to round the 587.356 up to 587.4.

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The value of interior angle and the exterior angle will be 9, 140 degree.

Hence, option (a) is correct choice.

(a) 40, 140

An exterior angle of a regular polygon with 40 sides is equal to 360 divided by the number of sides, which is 360/40 = 9 degrees.

An interior angle of a regular polygon with 40 sides is equal to (180(n-2))/n,

where n is the number of sides,

which is (180(40-2))/40 = 140 degrees.

So the answer is: 9, 140.

(b) 140, 220

The exterior angle of a regular polygon with 40 sides is equal to 360 divided by the number of sides,

which is 360/40 = 9 degrees.

An interior angle of a regular polygon with 40 sides is equal to (180(n-2))/n,

where n is the number of sides, which is (180(40-2))/40 = 140 degrees.

So the answer is: 9, 140.

(c) 9, 171

The exterior angle of a regular polygon with 9 sides is equal to 360 divided by the number of sides, which is 360/9 = 40 degrees.

An interior angle of a regular polygon with 9 sides is equal to (180(n-2))/n,

where n is the number of sides, which is (180(9-2))/9 = 140 degrees.

So the answer is: 40, 140.

(d) 4.5, 175.5

This answer is incorrect.

The exterior angle of a regular polygon with 4.5 sides is not possible since the number of sides in a polygon must be a positive integer.

The interior angle of a regular polygon with 4.5 sides is not possible since the number of sides in a polygon must be a positive integer.

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