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Answer:

\(a_{n}\) = 6n - 4

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

8 - 2 = 14 - 8 = 6

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

\(a_{n}\) = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

Thus the formula representing the sequence is

\(a_{n}\) = 6n - 4

Answer:

Step-by-step explanation:

18x + 3y = 51

-2x - 3y = -3

16x = 48

x = 3

-2(3) - 3y = -3

-6 - 3y = -3

-3y = 3

y = -1

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Answer:

\(3(2x + 1) = 5(x -4) \\ 6x + 3 = 5x - 20 \\ 6x - 5x = - 3 - 20 \\ \boxed{x = - 23}\)

Answer:yes that’s true

Step-by-step explanation:

Answer:

8$

Step-by-step explanation:

You didn't put the whole question But I'm assuming ur asking what the entrance fee is.

2.50×10=25$

33$-25$=8$

The story: John requires 2 liters of oil for a trip. they have  3/4 liters of oil at home, how many liters of oil will he get from his father to make the trip?

x in the equation is the liters of oil required from the father. It was solved to be 1 1/4

In the problem, the equation made available is 3/4 + x = 2

The solution of the equation is as follows

3/4 + x = 2

collecting like terms

x = 2 - 3/4

x = 5/4

x = 1 1/4

The value of x = 1 1/4

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Answer:

i cant answer if i dont know how much books she wants to donate

Answer:

How much is she donating ?

Step-by-step explanation:

Answer:

1 459.25 feet (1459 feet 3 inches)

The profit shows in retained earning can be used for reinvestment into the company

There are many measures and uses of earnings. Some analysts like to calculate earnings before taxes (EBT), also known as pre-tax income. Some analysts prefer to see earnings before interest and taxes (EBIT). Still, other analysts, mainly in industries with a high level of fixed assets, prefer to see earnings before interest, taxes, depreciation, and amortization, also known as EBITDA.

Earnings that deviate from the expectations of the analysts that follow that stock can have a great impact on the stock's price, at least in the short term. For instance, if analysts on average estimate that earnings will be $1 per share and they come in at $0.80 per share, the price of the stock is likely to fall on that "earnings miss."

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Answer:

false its 2 hours a 55 minutes I think hope this helps :)

Step-by-step explanation:

Answer:

noooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

So we know that the bald eagle drinks 0.16 per day. (I am not sure liters, gallons, etc because it is not stated in the question.) Now, the question tells us that River Otters drink about 5 times MORE then the bald eagle. So first we need to multiply.  

0.16 × 5 = 0.8

So river otters drink about 0.8 per day.  

Now to find out how much a River Otter drinks in 3 days do:

0.8 × 3 = 2.4

Answer: River Otters drink 2.4 water in 3 days.  

PS. Please check which unit it is and add the unit. Sometimes points get cut off without the units!

Answer:

A. |5| < |–8| is the correct option.

Answer:

22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42

Step-by-step explanation:

Any number that ends with, 0,2,4,6,8 is even, hope it helped!

22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 43

The equation of the line in slope-intercept form is y = 1/4x + 4, with slope 1/4, and passes through the point (-4,3).

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Given the slope, m = 1/4, and the point (-4,3), we can use the point-slope form of a line to find the y-intercept:

y - 3 = 1/4 × (x - (-4))

y - 3 = 1/4x + 1

We can simplify this equation:

y = 1/4x + 4

This is the equation of the line in slope-intercept form.

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The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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Answer: Vertical asymptotes is x = 0 and the horizontal asymptotes is y = 12.

The average cost approaches to 12 when the number of shirts increases.

Step-by-step explanation:

Since we have given that

Initial cost for a steamer to apply the declas = $100

Cost of material for  each shirt = $12

Function representing the band's average cost per t-shirt  after x t-shirt are sold is given by:

We need to find the vertical asymptotes , horizontal asymptotes and the average cost to make a t-shirt approaches as the number of t-shirts increases,

For vertical asymptotes , we will make denominator equal to zero.

So, it will be

Thus, vertical asymptotes is x= 0.

Similarly,

For horizontal asymptotes, we first check the degree of both numerator and denominator.

Since we can see that both have the same degree i.e. 1.

So,

So, the horizontal asymptotes is y = 12.

When the number of shirts increases ,The average cost to make a T-shirt approaches is given by

Hence, the average cost approaches to 12 when the number of shirts increases.

Answer:

The vertical asymptote is x = 0

The horizontal asymptote is y = 12

The average cost to make a t-shirt approaches $12 as the number of t-shirts made increases.

Step-by-step explanation:

The Z scores a way to standardize and compare data, as well as to identify outliers.

In simple terms, Z bases give information about how far a data point is from the means of the data set in standard deviation units. The original non-standardized heights, on the other hand, did not guarantee this information.

Z scores are used to standardize data and are useful when comparing two or more different data sets. By converting the original data to Z scores, we can compare data that is on different scales or has different units.

For example, suppose we have two data sets: one with heights measured in inches and the other with weights measured in pounds. We cannot compare these data sets directly as they are at different scales. However, by converting them to Z scores, we can compare them on the same scale.

In addition, the obtained Z's provided a way to identify outliers in the data set. Outliers are data points that are unusually far from the means of the data set. Z scores greater than 3 or less than -3 are generally considered outliers.

In general, the obtained bases are a way to standardize and compare data, as well as to identify outliers.

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Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

Answer:

750

Step-by-step explanation:

30/40 students dislike it from the sample, so 0.75

1000 x 0.75 = 750

The population includes the sample. Therefore, only some of the variables—not all—are used when we calculate central tendency or spread values.

What does the standard deviation of the sample mean?

According to question

    The sample may not be a good representation of the population due to various biases that could have been introduced during sample calculation, such as self-selection and non-response.

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Answer:

34 feet

Step-by-step explanation:

8+8+6+6+3+3=17+17=34

34 feet

16+12+6=34

8+8= 16

6+6= 12

3+3= 6

16+12+6=34

I beg, give me brainliest, I know I'm late but PLEASE give me brainliest :(

Answer:

(4' -4)

Step-by-step explanation:

make p subject of the formula in the first equation substitute the value in the second equation to determine q and replace q in first equation

Answer:the answer is (4, -4)

Step-by-step explanation:took the test and got it right

Answer:

B

Step-by-step explanation:

Change it to Slope - Intercept Form it will be easier.

After answering the presented question, we can conclude that Because equation the lower quartile is 1 and the upper quartile is 3, player B's IQR is 3 - 1 = 2.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

To determine the optimal measure of variability, compare both players' range and IQR.

The range of a dataset is the difference between its highest and lowest values. The range for player A is 11 - 1 = 10. The range for player B is 8 - 1 = 7.

The median for player A is (4+5)/2 = 4.5. The lower quartile (Q1) is the median of the data in the lower half, which is (1+1+2+4)/4 = 2. The upper quartile (Q3) is the median of the data's top half, which is (5+5+11)/3 = 5.5. As a result, player A's IQR is 5.5 - 2 = 3.5. The median for player B is (2+3)/2 = 2.5. Because the lower quartile is 1 and the upper quartile is 3, player B's IQR is 3 - 1 = 2.

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Answer:

5, 19, 21

Step-by-step explanation:

The sum of two smaller sides must be larger than the largest side in order to be a triangle. This means that only the first one can be a set of the triangle.

The ratio is constantly 2 and greater than 1, the growth described by the sequence is exponential.

To determine the type of growth described by the given sequence of growth rates (2, 4, 8, 16, 32), let's analyze the pattern step by step:

Step 1: Calculate the ratios between consecutive terms:

4/2 = 2

8/4 = 2

16/8 = 2

32/16 = 2

Step 2: Determine if the ratios are consistent.

Since the ratios between consecutive terms are all equal to 2, this indicates that the growth is consistent. Consistent growth means that each term is obtained by multiplying the previous term by the same constant ratio.

Step 3: Identify the type of consistent growth.

To identify the specific type of consistent growth, we can examine the values of the ratios.

If the ratio is less than 1, it would indicate a decaying or diminishing growth.

If the ratio is equal to 1, it would indicate linear or arithmetic growth.

If the ratio is greater than 1, it would indicate exponential growth.

If the ratio approaches a limit as the terms progress, it would indicate logistic growth.

In this case, since the ratio is constantly 2 and greater than 1, the growth described by the sequence is exponential.

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The perimeter of the triangle is 52 units

A tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior.

There is a theorem that says; if from one external point, two tangents are drawn to a circle then they have equal tangent segments.

Then we can say,

PT = PS

QT = QU

SR = UR

therefore

UR = 13

PS = 9

QU = 4

therefore the perimeter of the triangle =

9+4+4+13+13+9

= 18+8+26

= 52 units

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Answer:3911

Step-by-step explanation:

Saw the answer

Answer:

Step-by-step explanation:

3911