help me please I am very confused T-T

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

none of the listed options

Step-by-step explanation:

the equation for x axis is y=0

Answer:

The interval estimate is:

41.5 - 2.45 ≤ true average time ≤ 41.5 + 2.45

or

38.05 ≤ true average time ≤ 44.95

Inequality notation:

[38.05, 44.95]

The interval estimate that will estimate the true average time that people spend brushing their teeth is [39.05, 43.95] seconds.

Given that the mean time spent brushing teeth from the sample is 41.5 seconds, and the margin of error is 2.45 seconds, we can construct a confidence interval estimate using the formula:

(sample mean) ± (margin of error)

Substituting the given values, we get:

41.5 ± 2.45

Simplifying, we get:

[39.05, 43.95]

Therefore, we can be 95% confident that the true average time that all people spend brushing their teeth falls within this interval.

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Answer:

35.2 ; 4.75

Step-by-step explanation:

Given that :

Mean age, μ = 35.2 years

Standard deviation, σ = 9.5 years

The mean of the sampling distribution will be equal to the population mean, μ, this is according to the central limit theorem.

The standard deviation of the sampling distribution, is given by : σ/√n

n = sample size = 4

SD of sampling distribution = 9.5/√4 = 9.5 / 2 = 4.75

∠a is opposite to BC. Option D is correct.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given triangle is ABC

In the given triangle AB, BC and AC are the edges or sides.

A, B and C are the vertices of triangles.

∠a, ∠b and ∠c are the angles.

In the given triangle we need to find what is opposite to the ∠a

∠a is opposite to the BC

Hence, ∠a is opposite to BC. Option D is correct.

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The probability that both the marbles are blue is 1/5.

According to the given question.

Number of red marbles = 6

Number of blue marbles = 4

Total number or marbles = 10

As, we know that "probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event".

So, the probability that the first marble will be blue = 4/10 = 2/5

And the probability that the second marble is also blue, without replacement

= (4 - 1)/(10 - 1)

= 3/9

= 1/2

Therefore, the probability that both the marbles are blue

= 1/2 × 2/5

= 1/5

Hence, the probability that both the marbles are blue is 1/5.

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The expressions that have the same value as 8, percent of 94 are 8% * 94 and 7.52

Equivalent expressions are expressions that hold the same value, when compared

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

8, percent of 94

To start with:

Rewrite the above expression properly

So, we have the following representation

8% of 94

Express as products

8% * 94 ---- this is one equivalent expression

Solving further, we need to evaluate the expression

So, we have the following representation

8% * 94 = 7.52

7.52 is another equivalent expression

Hence, the equivalent expressions are 8% * 94 and 7.52

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Answer:

Nalani is correct.

Step-by-step explanation:

Given - Nalani says the expression 9+7r cannot be factored using the GCF.

To find - Is she ​correct? Explain why or why not.

Proof -

GCF - Greater Common factor

Given that, the expression is - 9 + 7r

As

HCF(9, 7) = 1

So , we can not factor the expression.

i.e. there does not exist any number who is a multiple of 9 and 7 both.

So,

Nalani is correct.

Example -

Let the expression be 24 + 18x

HCF(24, 18) = 6

So,

24 + 18x = 6(4 + 3x)

To input the data vectors for monthly market return and monthly return of Coca Cola into R, create two separate numeric vectors, 'x' and 'y', containing the respective values for each month.

In the code snippet, you would replace the ellipsis (...) with the actual values for each variable for all 48 months. Make sure the lengths of both vectors are the same, and the order of values corresponds to the chronological order of the months. Once you have the data vectors defined, you can perform various analyses or calculations using the x and y vectors in R.

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Answer:

(9, 5)

Step-by-step explanation:

Here's how to find the solution:

REMEMBER: THE SOLUTION SHOULD ALWAYS BE A COORDINATE POINT.

We already know that x = 9, so we can plug this into the second equation. This is because we want to solve for 'y.'

\(y=\frac{1}{3} x+2\)

\(y=\frac{1}{3} (9)+2\)

After plugging it into the equation, we can solve for the y-coordinate.

\(y=3+2\)

\(y=5\)

SOLUTION: \((9,5)\)

Answer:

Step-by-step explanation:

11(143) = 11(100 + 40 + 3)

          = 11(100) + 11(40) + 11(3)

9(821) = 9(800 + 20 + 1)

          = 9(800) + 9(20) + 9(1)

3(937) = 3(900 + 30 + 7)

          = 3(900) + 3(30) + 3(7)

6(342) = 6(300 + 40 + 2)

           = 6(300) + 6(40) + 6(2)

5(209) = 5(200 + 0 + 9)

           = 5(200) + 5(0) + 5(9)

Answer:

-3(2x+3)=21 does not become -6x+9=21 because wrong foiling.

Step-by-step explanation:

When you distribute -3 with 2x+3 you multiply both values by -3.

-3*2x = -6x

-3*3 = -9 <- This is where the error is. It's -9, not +9.

Answer:

y = - x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 1 and c = 6 , then

y = - x + 6 ← equation of line

To assess the correctness of the curved arrow notation in each case, specific examples or instances of the notation are needed. Without such examples, it is challenging to provide a meaningful analysis or explanation of whether the curved arrow notation is correct or incorrect.

Curved arrow notation is commonly used in organic chemistry to represent electron movement in chemical reactions and mechanisms. It indicates the flow of electrons, such as the movement of lone pairs, bonding electrons, or the formation/breakage of bonds. The notation is essential for understanding reaction mechanisms and the distribution of electron density in molecules.

To determine the correctness of curved arrow notation, one needs to evaluate whether it accurately represents the movement of electrons according to the established rules and principles of organic chemistry. This involves considering factors such as electron pair repulsion, formal charges, bond breaking/forming, and resonance structures.

Without specific examples or instances of the curved arrow notation in question, it is not possible to provide a comprehensive analysis or explanation. If you can provide specific examples or questions regarding the curved arrow notation, I would be glad to assist you further.

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The graphs of absolute value functions are called "V-shaped" or "V-graphs" because their graph is in the shape of a "V".

The graph of an absolute value function is a V-shape that opens upward or downward, depending on the function.

The vertex of the V is the point where the absolute value function equals zero. The two arms of the V extend out from this point, going in opposite directions along the number line.

The absolute value function is defined as |x| where x is any real number and |x| represents the distance of x from zero on the number line, i.e., always non-negative.

Example of an absolute function is f(x) = |x + 3|. The vertex is where

x + 3 = 0

That is at x = -3.

Here the function opens upward, but if the function was -|x + 3|, it will open downward.

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Answer: 19/25

Step-by-step explanation:  50 candies total. 28 are red, 10 are blue 8 are green, and 4 are yellow. We want to calculate the probability of choosing a candy and either getting blue or red. The total candies that are blue or red are 28+10 = 38. So, 38/50. We can simplify by dividing by 2 to get 19/25. 19 is a prime number so that is as simple as we can get,

The coordinate matrix of T with respect to the base B is [-9 -11 -8].

Coordinate in math is a pair of numbers that represent a specific point in a two-dimensional space or a three-dimensional space. In two-dimensional space, it is written in the form (x, y) where x is the horizontal coordinate and y is the vertical coordinate. In three-dimensional space, it is written in the form (x, y, z) where x is the horizontal coordinate, y is the vertical coordinate, and z is the depth coordinate. Coordinates are used to plot points on a graph, calculate the distance between points, and to identify the location of a point.

Solution:
To determine the coordinate matrix of T with respect to the base B, we need to multiply the change of base matrix Ic,B with the coordinate matrix Tc,c of T with respect to C.

Multiplying the two matrices, we get:

TB,B = Ic,B × Tc,c

= [-3 -1 1][2 -2 -2] + [-1 2 -1][-1 -3 -1] + [-1 -3 -2][2 0 -1]

= [-9 -9 -7] + [-2 -2 4] + [2 -3 -5]

= [-9 -11 -8]

Therefore, the coordinate matrix of T with respect to the base B is [-9 -11 -8].

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Answer:

Hector makes a tent shaped like a rectangular pyramid the volume is 56 cubic feet and the area is 24 square feet how tall is the tent

Step-by-step explanation:

The greatest value of y​ in the given inequality expression is determined as 27.8.

The solution of the inequality is calculated as follows;

The given inequality expression;

x > 6, Y >10, x + 4 ≤ 25, 2x +y ≤ 40

We can simplify the inequality expression as follows;

x + 4 ≤ 25

x + 4 - 4 ≤ 25 - 4

x ≤ 21

From the original expression, we know that  x > 6, so the complete boundary of x solution is;

6 < x ≤ 21

The solution of the inequality is determined as;

2x + y ≤ 40

y ≤ 40 - 2x

Since the boundaries of x are 6 < x ≤ 21, the highest value of y within this region occurs at 6.1.

y ≤ 40 - 2 (6.1)

y  ≤ 27.8

This value can be seen in the graph of the inequality.

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The actual height of the structure is 15cm (second option).

The height of an object measures how tall an object is. The height of the structure that Jacob made is 3cm.

A scale is used to show the proportion between two images or objects. The scale of the structure shows that the strucutre that Jacob made is smaller than the actual structure.

In order to determine the original height of the structure, multiply 3 by 5.

Actual height = height of the structure that Jacob made x 5

3 x 5 = 15 cm

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The study is most likely attempting to establish is Criterion validity and the study featured a(n) scale of measurement is Ordinal scale.

10). The study is most likely attempting to establish is: By criterion validity.

Criterion validity measures how well one measure predicts the outcome for another measure.

Here, we are judging how well the scores on the employment test predict the performance of the person.

Nominal Scale: This scale is used to assign labels to variables that have no numerical values.

For eg : Gender (male and female) , colour (brown blue black white)

Ordinal scale: It matters how the values are arranged, but it makes no difference how much they differ.

For eg: 1: Food applications rated from 1 to 5, 5 being the best. If a app is rated as 2 and other is rated as 4 does not mean the later is twice as good as the first.

Interval scale: An interval scale is a numerical scale where the order and size of the difference between the numbers are known. Absolute zero does not indicate absence in an interval scale, it only means there is no value.

For eg: Temperature in degree Celsius. If T1=5o Celsius  and T2=15o Celsius this means is a temperature difference of 10o , but with T3=0o does not mean there is no temperature.

Ratio scale: The ratio scale is another numerical scale where the order and size of the difference between the values are known, and where absolute zero denotes the absence of values.

For eg: Salary of people

11). The study featured a(n)scale of measurement is: By ordinal scale

We will rank the chairs on a scale where order counts and the size of the difference is not particularly significant.

Hence, for 10th the option A is correct and for 11th the option B is correct.

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Answer:

2,700in

Step-by-step explanation:

To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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The required equation of the directrix is y = 11.

For a parabola in standard form, y = a(x - h)^2 + k, the focus is located at the point (h, k + 1/(4a)) and the directrix is given by the equation y = k - 1/(4a).

Comparing the given equation, y = -1/20 (x - 3)^2 + 6, to the standard form, we have h = 3, k = 6, and a = -1/20.

So, the focus is located at the point (3, 6 + 1/(4*(-1/20))) = (3, 1).

To find the equation of the directrix, we can use the formula y = k - 1/(4a) with the values we have:

y = 6 - 1/(4*(-1/20)) = 6 + 5 = 11

Therefore, the equation of the directrix is y = 11.

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Answer:

2.4f-17

Add similar elemets : 2.7f + 0.3f =2.4f

Subtract the numbers:-12 - 5= -17

Answer:

- 2.4f - 17

Step-by-step explanation:

Given

- 2.7f + 0.3f - 12 - 5 ← collect like terms

= - 2.4f - 17