The ratios of successive numbers in the Fibonacci sequence eventually get closer to which number?


a.


1. 61


c.


2. 3


b.


1. 46


d.


1

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Muslim scholars blended mathematical ideas from Greece, India, and Persia in the development of algebra and trigonometry.

There is solid proof of social mixing in how Muslims concentrated on arithmetic during the Islamic Brilliant Age, which endured from the eighth to the fourteenth century CE. During this time, researchers from different pieces of the Muslim world, as well as from Greece, India, and Persia, met up to share information and thoughts.

One illustration of this social mixing should be visible in the improvement of variable based math, which was vigorously affected by crafted by Indian mathematicians. Muslim researchers deciphered and developed Indian texts, integrating new ideas and images into their own numerical practices.

One more model is the improvement of geometry, which was impacted by crafted by Greek mathematicians. Muslim researchers deciphered and developed Greek texts, adding new applications and refinements to the discipline.

Generally, the social mixing of numerical thoughts and customs assumed a huge part in the improvement of Islamic science, and assisted with laying out a rich and various heritage that keeps on impacting the field today.

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The final number remaining in this sequence is the number 2.

We start with the first 300 natural numbers written in ascending order. We remove the numbers at odd places, which means we remove all the numbers at positions 1, 3, 5, and so on.

After the first removal, we are left with the numbers at even positions: 2, 4, 6, and so on.

Now, we repeat the process and remove the numbers at odd positions again. We remove numbers at positions 1, 3, 5, and so on from the remaining sequence.

After the second removal, we are left with the numbers at even positions again: 4, 8, 12, and so on.

We can observe that in each removal, the sequence reduces to half its size, and we are left with the numbers at even positions.

Continuing this process, we will eventually reach a point where we have only one number left.

Since we start with 300 numbers, after the first removal, we have 150 numbers. After the second removal, we have 75 numbers. After the third removal, we have 38 numbers. After the fourth removal, we have 19 numbers. After the fifth removal, we have 10 numbers. After the sixth removal, we have 5 numbers. After the seventh removal, we have 3 numbers. After the eighth removal, we have 2 numbers. Finally, after the ninth and last removal, we are left with a single number.

Therefore, the final number remaining in this sequence is the number 2.

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Answer:

18

Step-by-step explanation:

    Volume of triangular prism = area of the base x height

⇒                                           81 = area of base x 4.5

⇒                         area of base = 81 ÷ 4.5 = 18 in²

Answer:

18

Step-by-step explanation:

Answer:

The variable c=9 is the answer the varibles

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

c = −15.8571428571

Step-by-step explanation:

-42 = 5(2c + 9) - 3(c + 8)

-42 = 10c + 45 - 3c + 24

-42 = 10c - 3c + 45 + 24

-42 = 7c + 69

-7c -7c

-------------------

-7c - 42 = 69

+42. +42

___________

-7c/-7 = 111/-7

c = −15.8571428571

The level of measurement that is appropriate for a classification where students are asked to rank their professors as good, average, or poor is the ordinal level of measurement.

Ordinal level of measurement is a statistical measurement level.

It involves dividing data into ordered categories.

For instance, when asked to rank teachers as good, average, or poor, the students' rating of the teachers falls under the ordinal level of measurement.

The fundamental characteristic of ordinal data is that it can be sorted in an increasing or decreasing order.

The numerical values of the categories are not comparable; instead, the categories are arranged in a specific order.

The ordinal level of measurement, for example, provides the order of the data but not the size of the intervals between the ordered values or categories.

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Answer:

Its pretty good

Answer:

1/2x+5

Step-by-step explanation:

y = 2x-10

Exchange x and y

x = 2y -10

Solve for y

x + 10 = 2y-10+10

x+10 = 2y

Divide by 2

x/2 + 10/2 = 2y/2

1/2x +5 = y

The inverse is 1/2x+5

Answer:

h(x) = 2x + 5

Step-by-step explanation:

To find the inverse, interchage the variables and solve for y

Answer:

x = 159°

Step-by-step explanation:

x + 29° = 180° (Because they form a linear pair)

=> x = 180° - 29°

=> x = 159°

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Answer:

x will be 159 degrees

Step-by-step explanation:

x+29 = 180 I'm working on the same thing x=180 degrees -29 degrees that comes to 159 degrees

The correct standard form of the equation of the parabola is:

\((x+3)^{2}\)= 4(y - 3).

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.

For the given question,

Vertex of parabola is (-3,3)

Thus, the equation of the parabola is:

\((x-h)^{2}=4(y-k)\)

\((x+3)^{2}\)= 4(y-3)

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The linear function with a slope of -1/4 and intercept of -5 is given as follows:

f(x) = -0.25x - 5.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The parameters for this problem are given as follows:

Comparing to the standard definition, the linear function is defined as follows:

f(x) = -0.25x - 5.

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Answer:

A. y is all real numbers.

Step-by-step explanation:

The range is the possible values that y can take

In this graph y goes from negative infinity to infinity so y can be all real numbers

The solution to the composite function is:

13) f(x)/g(x) = (x - 2) + 29/(x + 7)

15) (f ° g)(x) =  3x² + 8

(g ° f)(x) = 9x² + 30x + 26

Composite functions are said to occur when the output of one function is used as the input of another function. If we have a function f and another function g, the function “ f of g of x” is the composition of the two functions.

13) We are given:

f(x) = x² + 5

g(x) = x - 7

Thus:

f(x)/g(x) is:

        x - 2

x + 7|x² + 5

      - x² + 7x

             - 2x + 5

           - -2x - 14

                    29

This gives: (x - 2) + 29/(x + 7)

15) f(x) = 3x + 5

g(x) = x² + 1

Thus:

(f ° g)(x) = f(g(x))

= 3(x² + 1) + 5

= 3x² + 3 + 5

= 3x² + 8

(g ° f)(x) = g(f(x))

= (3x + 5)² + 1

= 9x² + 30x + 25 + 1

= 9x² + 30x + 26

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Answer:

There are 7,344,000 seconds until the swim team meet.

Step-by-step explanation:

First we have to figure out how many seconds in a day.

There are 86,400 seconds in a day.

Then we multiply the seconds in one day by the number of days:

86,400 x 85 = 7,344,000

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Answer:

y=1.110399 or y=−6.782628 or y=−1.327771

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Rise: 1

Run: 2

The correct slope is 1/2 :)

8-2 =6

4-1=3

3/6=0.5

The classification of the compounds according to their functional class: A | Aldehyde

B | Alcohol

C | Ketone

D | Amine

Compound A contains a carbonyl group (C=O) bonded to two alkyl groups (R-). This is the general structure of an aldehyde. Aldehydes are characterized by their strong, sweet odor.

They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.

Compound B contains an oxygen atom (O) bonded to two alkyl groups (R-). This is the general structure of an alcohol. Alcohols are characterized by their ability to dissolve other polar compounds, such as water. They are also used in a variety of products, such as solvents, cleaners, and fuels.

Compound C contains a carbonyl group (C=O) bonded to a propyl group (CH3CH2CH2-) and an amino group (NH2). This is the general structure of a ketone.

Ketones are characterized by their strong, sweet odor. They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.

Compound D contains a nitrogen atom (N) bonded to three alkyl groups (R-). This is the general structure of an amine. Amines are characterized by their basic properties. They are also used in a variety of products, such as pharmaceuticals, plastics, and fertilizers.

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lim g(x) of the function as x approaches infinity is infinity.

To find the limit of g(x) as x approaches infinity, we need to look at the highest power of x in the numerator and denominator. In this case, the highest power of x in the numerator is x^7 and the highest power of x in the denominator is 9x.

As x approaches infinity, the dominant term in the numerator will be x^7 and the dominant term in the denominator will be 9x. Therefore, we can simplify g(x) to:

g(x) = (x^7)/(9x) = (1/9) x^6

Now, as x approaches infinity, the term x^6 will become very large and dominate the expression. Therefore, the limit of g(x) as x approaches infinity is infinity.

In mathematical notation, we can write:

lim g(x) = lim [(x^7)/(9x)] = lim [(1/9) x^6] = infinity
x->infinity  x->infinity      x->infinity

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Answer:

11

Step-by-step explanation:

lets suppose the number is x

twice the number would be 2x and 15 more than that will be

2x + 15

and this is equal to 37

2x + 15 = 37

2x = 37 - 15

2x = 22

x = 22/2

x = 11

Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°

Answer:

x = t(a+p)/4

Step-by-step explanation

Given the expression

​a=4x/t - p

We are to make x the subject of the formula

a=4x/t - p

Add p to both sides

a+p = 4x/t - p+p

a+p = 4x/t

Cross multiply

t(a+p) = 4x

Rearrange

4x = t(a+p)

Divide both sides by 4

4x/4 = t(a+p)/4

x = t(a+p)/4

Different license plate numbers are possible are 456976000.

From the problem license plate number can be

DZZZZDD type of strings where,

D - digit(0 - 9) = total 10 numbers are there

Z- Characters(a - z) = total 26 characters are there.

At each position we try to put digit or characters according to question.

For D we have 10 possibilities and Z we have 26 possibilities.

DZZZZDD putting all the possibilities for each characters

10*26*26*26*26*10*10 = 456976000.

Given question is incomplete, Complete question:

License plate numbers in a certain state consists of seven characters. The first character is a digit (0 through 9). The next four characters are capital letters (A through Z) and the last two characters are digits. Therefore, a license plate number in this state can be any string of the form: Digit-Letter-Letter-Letter-Letter-Digit-Digit

How many different license plate numbers are possible?

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Answer: 40 degrees

Step-by-step explanation:

Crystallization is the process in which energy is evolved as heat.

During the process of crystallization, energy is released as heat. When a substance changes from a liquid or gas phase to a solid phase, its particles arrange themselves in an ordered, crystalline structure. This rearrangement of particles results in the release of excess energy in the form of heat. Therefore, in the process of crystallization, energy is evolved as heat.

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The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

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Answer:

(Decimal: 10.233345)

Step-by-step explanation:

√5(√10+√2

√5(√10+√2)

=√10+5√2(Decimal: 10.233345)

When testing the hypothesis H0: μ = μ0 versus H1: μ ≠ μ0, if a 95% confidence interval does not contain μ0, we reject H0 at the 5% level of significance.

In hypothesis testing, the confidence interval provides a range of values within which we are confident that the true population mean lies. A 95% confidence interval implies that if we were to repeat the sampling and estimation process multiple times, approximately 95% of the intervals constructed would contain the true population mean.

If the calculated 95% confidence interval does not include the hypothesized value μ0, it suggests that the hypothesized value is unlikely to be the true population mean. Therefore, we reject the null hypothesis H0 at the 5% level of significance, indicating that there is evidence to support the alternative hypothesis H1 that the population mean is not equal to μ0.

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