The box-and-whisker plot below represents some data set. What percentage of the
data values are between 16 and 72?
20
40
60
80
100

The age of Bryson today is 11 1/3 years

From the question, we have the following mathematical statements:

Bryson's dad age = 38

Bryson's dad age = 4 + 3 * Bryson's age

Represent Bryson's age with x

So, we have the following equation

Bryson's dad age = 38

Bryson's dad age = 4 + 3x

substitute the known values in the above equation, so, we have the following representation

4 + 3x = 38

Evaluatet the like terms

3x = 34

Divide by 3

x = 11 1/3 years

Hence, Bryson's age as per the mathematical statement is 11 1/3 years

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Answer:

25021/50 ft.

Step-by-step explanation:

Convert decimal to fraction, 50042/100 ftReduce the fraction: 25021/50 ft

More Explanation on Rational Numbers:

Rational numbers are the numbers which can be written as fraction of a/b where a,b be any integer and b≠0. They are finite and recurring decimals.

For example:- 0.2 is a rational number and can be written as 2/10 or 1/5.

Irrational numbers are the numbers which can not written as fraction and they are non-terminating .

For example: The √2 [square root of 2] is also an irrational number. After simplifying,it would be written as 1.41421356237…so on ,but the numbers go on into infinity and do not ever repeat, and they do not ever terminate.

Have a great day! :D

Answer:

97

Step-by-step explanation:

Arc AT = angle at the center 97°

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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The line cross the Y axis in y=-2

The equation of a line is Y=ax+b where a is the slope and b the y intercept of the line

we know that for x=3 => y=4 then we plug the values we know in the equation of the line:

now we use the point we know:

then solve for b

The the y intercept of the line is y=-2

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Answer:

y=140-10x is what i got as my answer

Answer: 99M

Step-by-step explanation:

Rectangle area

A=LW

A = 11 x 9

A = 99

Mark as brainliest please TT. Thank you :D

Answer:

99 m

Step-by-step explanation:

width times length = area

11 ×9= 99m

An equation is:  y = 3x

When x = 3, y = 9.

y is always three times the value of x.

Answer:

equation =  y = 3x

Step-by-step explanation:

The operationalization of the used constructs of the model is not typically considered a part of the theoretical aspects of a model. The correct option is (B).

Operationalization refers to the process of defining and measuring the variables or constructs in a study. It involves turning abstract concepts into observable and measurable variables.

On the other hand, the theoretical parts of a model typically include:

A. The hypotheses corresponding to the model: This refers to the specific statements or predictions derived from the theoretical framework of the model.

Hypotheses provide testable expectations about the relationships between variables in the model.

C. A logical explanation of the relationship within a model: This involves providing a theoretical rationale or logical explanation for the expected relationships between variables in the model.

It is the theoretical framework that underlies the model and helps in understanding the underlying mechanisms or processes.

D. A graphical representation of the model: Graphical representation, such as diagrams or visual models, can be used to depict the structure or relationships within a model. It helps in visualizing the connections between variables and understanding the overall framework.

Therefore, B. The operationalization of the used constructs of the model does not belong to the theoretical parts of a model.

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Answer:

x > 4

Step-by-step explanation:

5x + 17 > 37

Subtract 17 from each side

5x + 17-17 > 37-17

5x > 20

Divide each side by 5

5x/5 > 20/5

x > 4

Answer:

x is any number greater than 4

Step-by-step explanation:

5x > 20

x > 4

a)  The Taylor polynomial of degree 2 for f(x) = sec(x) centered at a = 0 is:

T2(x) = 1 + 0(x-0) + (1/2)(2)(x-0)^2

T2(x) = 1 + x^2

b)   The interval is [-0.1,0.1], we can take the maximum value of |x| to be 0.1. Thus,

|R2(x)| ≤ 0.25229 (rounded to six decimal places).

(a) The Taylor polynomial of degree 2 for f(x) = sec(x) centered at a = 0 is given by:

T2(x) = f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2

Since a=0 and f(x) = sec(x), we have:

f(0) = sec(0) = 1

f'(x) = sec(x)tan(x)

f'(0) = sec(0)tan(0) = 0

f''(x) = sec(x)tan^2(x) + sec(x)

f''(0) = sec(0)tan^2(0) + sec(0) = 2

Therefore, the Taylor polynomial of degree 2 for f(x) = sec(x) centered at a = 0 is:

T2(x) = 1 + 0(x-0) + (1/2)(2)(x-0)^2

T2(x) = 1 + x^2

(b) Taylor's Inequality states that if |f^(n+1)(c)| ≤ M for all x in the interval [a,x] and some constant M, then the remainder term Rn(x) satisfies the inequality:

|Rn(x)| ≤ M/[(n+1)!]|x-a|^(n+1)

In this case, we need to estimate the maximum value of the third derivative of f(x) = sec(x) on the interval [-0.1,0.1]. We have:

f'''(x) = sec(x)[3tan^2(x)+sec^2(x)]

Since sec(x) is always positive and increasing on the interval, we only need to consider the maximum value of 3tan^2(x)+sec^2(x) on the interval. This occurs at x = 0.1, and we have:

3tan^2(0.1)+sec^2(0.1) ≈ 9.025

So, we can take M = 9.025.

Using n = 2 and a = 0 in Taylor's Inequality, we get:

|R2(x)| ≤ 9.025/[(2+1)!]|x-0|^(2+1)

|R2(x)| ≤ 9.025/6|x|^3

Since the interval is [-0.1,0.1], we can take the maximum value of |x| to be 0.1. Thus,

|R2(x)| ≤ 0.25229 (rounded to six decimal places).

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Computational complexity is a branch of theoretical computer science that deals with the analysis and classification of problems based on the amount of computational resources required to solve them, such as time and memory.

It aims to determine the inherent difficulty of solving a problem, independent of any particular algorithm or computer, by characterizing problems according to the complexity classes they belong to, such as P, NP, NP-hard, and NP-complete.

This helps us understand which problems can be solved efficiently and which ones are inherently difficult, and also provides a framework for analyzing the efficiency and trade-offs of different algorithms for solving a problem.

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The total cost of repayment will be $7,737.00, and Marvin will pay $937.00 in interest over the 5-year period.

To find the total cost of repayment, we need to calculate the total amount that Marvin will pay over the course of 5 years. Since he is making monthly payments, we need to first find the total number of payments he will make:

Total number of payments = 5 years x 12 months/year = 60 payments

The total amount Marvin will pay is then:

Total amount = 60 payments x $128.95/payment = $7,737.00

To find the total interest Marvin will pay, we need to subtract the original amount of the loan from the total amount he will pay:

Total interest = Total amount - Loan amount

Total interest = $7,737.00 - $6,800.00

Total interest = $937.00

Therefore, the total cost of repayment will be $7,737.00, and Marvin will pay $937.00 in interest over the 5-year period.

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Answer:

6

Step-by-step explanation:

The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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The different values that could be be the greatest common divisor of the two integers are; 1, 2, 3, 4, 6

Let the numbers be a, b. Thus, the product of the GCD(a, b) and the LCM(a, b) will be ab.

Now, for us to get something to be a factor of the GCD we need to make it be a factor of both a, b. Thus, its' square must be a factor of 180.

Therefore, the only numbers whose square is a factor of 1800 are 1, 2, 3, 4, 6 and as such they are the only GCDs possible.

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Hey there!

2/7(x + 4) = -6

2/7(x) + 2/7(4) = -6

2/7x + 8/7 = -6

SUBTRACT 8/7 to BOTH SIDES

2/7x + 8/7 - 8/7 = -6 - 8/7

CANCEL out: 8/7 - 8/7 because it gives you 0

KEEP: -6 - 8/7 because it helps solve for the x-value

NEW EQUATION: 2/7x = -6 - 8/7

SIMPLIFY IT!

2/7x = -50/7

MULTIPLY 7/2 to BOTH SIDES

7/2 * 2/7x = 7/2 * (-50/7)

CANCEL out: 7/2 * 2/7 because it gives you 1

KEEP: 7/2 * (-50/7) because it helps solve for the x-value

NEW EQUATION: x = 7/2 * (-50/7)

SIMPLIFY IT!

x = -25

Therefore, your answer is: x = -25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

(x-3) (x-2)

Step-by-step explanation:

\(x^{2}\) - 5x + 6

How to break down the equation and factorise it:

-3 x -2 = 6

-3 + -2 = -5

Final Answer:

(x-3) (x-2)

Answer:

Down below

Step-by-step explanation:

a. The range of y = sinθ is [-1,1]

b. The period of y = cosθ is 2π

c. The asymptotes of y = tanθ are -π2, π2, πn

d. The amplitude of y = sinθ is 1

e. The period of y = tanθ is π

f. The max value of y = cosθ is 1

So, 1−x represents the percent of original price being paid as we know that if percentage is given in decimal form, then to get the percent of original.

The decimal number framework has 10 digits which range from 0 to 9 with the base 10 and transformation from paired to decimal can assist us with better figuring out the compound parallel numbers. The decimal numeral framework is the standard framework for meaning number and non-whole number numbers. It is the augmentation to non-whole number quantities of the Hindu-Arabic numeral framework. The approach to meaning numbers in the decimal framework is frequently alluded to as decimal documentation. Numerous numeral frameworks of antiquated civilizations utilize ten and its powers for addressing numbers, perhaps on the grounds that there are ten fingers on all fours began counting by utilizing their fingers. Models are first and foremost the Egyptian numerals, then the Brahmi numerals, Greek numerals, Hebrew numerals, Roman numerals, and Chinese numerals.

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Answer:opdwjopgf2j[

'jgkwr'ogwe'fk'rwokg{:VKSW?fvrewdgrwji{"ODRI

Step-by-step explanation:

The line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

To graph the two parabolas y = x^2 and y = -x^2 + 2x - 5 in the same coordinate plane, we can use a tool such as a graphing calculator or plot the points of the parabolas by hand. The first parabola, y = x^2, will be a downward-facing parabola centered at the origin with a vertex at (0,0), while the second parabola, y = -x^2 + 2x - 5, will be an upward-facing parabola that is shifted to the right by 1 unit and downward by 5 units.

Next, we want to find the lines that are simultaneously tangent to both parabolas. To do this, we find the derivative of each parabolic function, which gives us the slope of the tangent line at any point on the graph.

For the first parabola, y = x^2, the derivative is 2x, so the slope of the tangent line at any point (x, x^2) is 2x.

For the second parabola, y = -x^2 + 2x - 5, the derivative is 2x - 2, so the slope of the tangent line at any point (x, -x^2 + 2x - 5) is 2x - 2.

To find the equations of the two lines simultaneously tangent to both parabolas, we set the slopes equal to each other and solve for x. This gives us the x-coordinate of the points of tangency on both parabolas, and from there we can use the original functions to find the y-coordinate.

For example, setting the slopes equal to each other, we get:

2x = 2x - 2

0 = -2

So, x = 0, and this point (0, 0) lies on both parabolas. Therefore, the line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

We can repeat this process to find the equation of the second tangent line.

Note: There may be other points of tangency that are not shown on the graph, and these can be found using the same process.

Therefore, the line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

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Answer:

The lines intersect at one point: (19.44, 11.56)

Step-by-step explanation:

Rewrite both equations in standard format.

4x - 5y = 20

-5y = -4x + 20

y = (4/5)x - 4

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

(x - 2) + (y - 4) = 25

y - 4 = 25 - (x-2)

y = -x + 2 + 25 + 4

y = -x + 31

We see that one slope is positive and the other is negative.  Since these are straight line equations, the lines will cross at one point.

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

We can find that point:

y = (4/5)x - 4

-x + 31 = (4/5)x - 4 [use y = -x + 31 from above]

-x - (4/5)x = -35

-(9/5)x = -35

x = (5/9)*(35)

x = 19.44

-----------

y = -x + 31

y = -19.44 + 31

y = 11.56

(19.44, 11.56)

Answer:

B=12/13

Step-by-step explanation:

Not positive, but i believe you are trying to find the angle measure using inverse sin or whatever its called and then reducing the fraction. SOHCAHTOA

The final answer is: A = 3, B = -3. 3(x - 5) - 3(x² + 3) is the partial fraction decomposition of 6x² - 12x - 6.

Partial Fraction Decomposition The partial fraction decomposition of a rational function is the process of writing it as a sum of simpler rational expressions.

It is sometimes used to integrate rational functions of the form P(x)/Q(x).

The above expression has a degree of 2 in the denominator, and it cannot be factored using integers.

As a result, we must utilize partial fractions to simplify it.

A(x − 5) + B(x² + 3) = 6x² - 12x - 6

First, we need to add A and B into the equation.

6x² - 12x - 6 = A(x - 5) + B(x² + 3)

When we substitute x = 5, A becomes 3.

6x² - 12x - 6 = 3(x - 5) + B(x² + 3)

When we substitute x = ±√(-3), B becomes -3.

6x² - 12x - 6 = 3(x - 5) - 3(x² + 3)

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