Arunner jogs 2 mi 120.3 yd. how far does the runner jog in meters?
round your answer to the nearest tenth of a meter.
conversion ratios:
1 m = 3.3 ft
3 ft = 1 yd
5,280 ft = 1 mi
1,760 yd = 1 mi
?

Answer:

Remember, the values of both variables may change in an experiment and are recorded. The difference is that the value of the independent variable is controlled by the experimenter, while the value of the dependent variable only changes in response to the independent variable

Step-by-step explanation:

Answer:

The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

Step-by-step explanation:

False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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Answer:

ccccccc

Step-by-step explanation:

Answer:

$12.55

Step-by-step explanation:

20-7.45=12.55

Step 2: Use the information given in the problem to find the value of k, called the ... 1 – If y varies jointly as x and z, and y = 12 when x = 9 and z = 3, find z when y = 6 ... In this case, you should use v, h, and r instead of x, y, and z and notice how ...

Go from right to left in such function questions

a. f(g(x))

⇒ f(4x + 1)

⇒ (4x + 1)² - 2

⇒ 16x² + 8x + 1 - 2

⇒ 16x² + 8x - 1

b. g(f(x))

⇒ g(x² - 2)

⇒ 4(x² - 2) + 1

⇒ 4x² - 7

Answer:

\(f[g(x)]=16x^2+8x-1\)

\(g[f(x)]=4x^2-7\)

Step-by-step explanation:

Given functions:

\(f(x)=x^2 - 2\)

\(g(x) =4x + 1\)

\(f[g(x)]\) means to substitute g(x) in place of x in f(x):

\(\begin{aligned}\implies f[g(x)] & =[g(x)]^2-2\\ & =(4x+1)^2-2\\ & = (4x+1)(4x+1)-2\\ & = 16x^2+8x+1-2\\ & = 16x^2+8x-1\end{aligned}\)

\(g[f(x)]\) means to substitute f(x) in place of x in g(x):

\(\begin{aligned}\implies g[f(x)] & =4[f(x)]+1\\ & = 4(x^2-2)+1\\ & = 4x^2-8+1\\ & = 4x^2-7\end{aligned}\)

When converting from a different business structure to a partnership, certain changes need to be made to the accounting records to reflect the new ownership and financial arrangements.

Converting to a partnership involves transitioning from a sole proprietorship, corporation, or another business structure to a partnership with shared ownership and responsibilities. In terms of accounting records, the following changes may be necessary:

Capital Accounts: Partnership accounting includes separate capital accounts for each partner to track their contributions, withdrawals, and share of profits or losses. The existing accounting records will need to be modified to incorporate these new capital accounts.

Profit and Loss Distribution: The distribution of profits and losses among partners is based on the partnership agreement. The accounting records should reflect the agreed-upon profit-sharing ratios and any changes in the allocation of profits and losses.

Reporting and Taxation: Partnership accounting may require different reporting and taxation methods compared to other business structures. The accounting records should be adjusted to comply with partnership-specific reporting requirements and tax regulations.

Financial Statements: The presentation of financial statements may change after the conversion to a partnership. Balance sheets, income statements, and cash flow statements will need to be adjusted to reflect the new ownership structure and partnership-related transactions Overall, the accounting records will need to be modified to accommodate the unique financial arrangements, capital contributions, profit sharing, and reporting requirements associated with the partnership structure. It is crucial to consult with an accounting professional to ensure accurate and compliant record-keeping during the conversion process.

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Answer:

A) no solution

Step-by-step explanation:

These lines are parallel. Which means that they will never intersect, and since the solution to a system of equations is the point or points of intersection, this means there would be no solution to this system.

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The linear approximation of the function at the indicated point is as follows: F(x,y) = x -5y - 1

The linear approximation of a function is nothing more than estimating the value of the function at a location using a line. When we see a curve (of a function) with a point on it, we recall the idea of the tangent line. If we determine the equation of the tangent line at the given position, the value of the function at any location extremely near to the given point can be estimated using the equation of the tangent line. Since the tangent line is used in this process, the idea is also referred to as the "tangent line approximation" or "linear approximation."

How to solve?

In this case, our goal is to locate the linear approximation of the provided function at the stated location.

We start by replacing the values, then determine the partial derivative with regard to x and finally y.

We now sum these values, having first substituted the x and y values into the differentiated partial equation. The findings are then added up.

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Answer:

B

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

The minimum value of sin x + cos x where x E [-360:360] is √2/2.

We can approach this problem using trigonometric identities and algebra.

First, we will use the fact that:

sin(x + y) = sin x cos y + cos x sin y

We can rewrite sin x + cos x as:

sin x + cos x = √2(sin(x + 45°))

We can see that the maximum value of sin(x + 45°) is 1, so the maximum value of sin x + cos x is √2.

Next, we want to find the minimum value of sin x + cos x. To do this, we will square both sides of the equation:

(sin x + cos x)² = 2(sin²(x + 45°))

sin² x + 2 sin x cos x + cos² x = 2(sin² x + cos² x + 2sin x cos x)

sin²x - 2 sin x cos x + cos² x = 0

(sin x - cos x)² = 0

sin x = cos x

We can see that the minimum value of sin x + cos x occurs when sin x = cos x. At this point, sin x + cos x takes on the value of √2/2.

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Answer:

4.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

64,000 x 6.2% divided by groups of 1.45 a

Answer:

2

Step-by-step explanation:

The first three terms of the sequence are 11, 15, 19...

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

If N represents the term

first term, N = 1

second term N =2

third term N = 3

therefore the first term of the sequence = 4(1)+7

= 11

the second term of the sequence = 4(2)+7 = 15

the third term of the sequence = 4(3)+7 = 19

This shows that the common difference of the sequence is 4.

Therefore the first three terms of the sequence is

11, 15, 19...

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The equation that describes the simple harmonic motion of the particle is:

x = 7 * sin(2t + φ)

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be represented as:

x = A * sin(ωt + φ)

In this equation:

x represents the displacement of the particle at time t.

A represents the amplitude of the motion.

ω represents the angular frequency or angular speed of the motion.

t represents time.

φ represents the phase constant.

In the given scenario, the particle is moving uniformly around a circle of radius 7 units, with an angular speed of 2 radians per second. In circular motion, the displacement can be represented by the arc length along the circumference of the circle.

Since the angular speed is 2 radians per second, the angular frequency (ω) is also 2 radians per second.

Since the particle is moving uniformly, the amplitude of the motion (A) is equal to the radius of the circle, which is 7 units.

The phase constant (φ) determines the initial position of the particle at t = 0.

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Answer:

x = -3

Step-by-step explanation:

5x + 15 = 0

subtract 15 on both sides

⇒ 5x + 15 - 15 = 0 - 15

⇒5x = -15

divide both sides by 5

⇒ \(\frac{5x}{5} = \frac{-15}{5}\)

⇒x = -3

Answer:The term glycol does not indicate a lack of glucose.

Step-by-step explanation:The term glycol does not indicate a lack of glucose, it refers to a specific class of organic compounds which are characterized by having two hydroxyl groups (-OH) on adjacent carbon atoms. Common examples include ethylene glycol and propylene glycol which are used in a variety of industrial and commercial applications such as antifreeze, coolants, and solvents.

Answer:

Glycopenia

Step-by-step explanation:

This is where the body lacks or shortage of glucose in the body which is properly needed.

The author's discussion of the woman who quit her job and went back to school contributes to the text by emphasizing the idea that it's never too late to make a change in one's life.

The author's discussion of the woman who quit her job and went back to school contributes to the text in a couple of ways.First and foremost, this example shows that even if a person has been in a career for a long time, they can still change their path if they want to. In the text, the author talks about how the woman who quit her job had been in her previous career for many years, but ultimately decided to go back to school to pursue something she was more passionate about.

This emphasizes the idea that it's never too late to make a change in one's life and that people should pursue their dreams no matter their age or current circumstances.Secondly, the woman's story shows the potential benefits of taking risks and following one's passions. The author discusses how the woman felt more fulfilled in her new career and was able to make a positive impact in her community through her work. This suggests that taking risks and pursuing one's passions can lead to a more fulfilling and rewarding life overall.In conclusion, the author's discussion of the woman who quit her job and went back to school contributes to the text by emphasizing the idea that people should pursue their passions and take risks, even if it means making major changes later in life. The example shows that it's never too late to make a change and that following one's dreams can lead to a more fulfilling and satisfying life.

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the temperature of the gas in the tire, when the pressure increases to 87.3 kPa, is approximately 27.11 °C.

To find the temperature of the gas in the tire when the pressure increases from 82.0 kPa to 87.3 kPa, we can use the ideal gas law equation, which states:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.

Since the volume and the number of moles remain constant, we can rewrite the equation as:

P₁/T₁ = P₂/T₂

where P₁ and T₁ are the initial pressure and temperature, and P₂ and T₂ are the final pressure and temperature.

Plugging in the values, we have:

82.0 kPa / (26.0 + 273.15) K = 87.3 kPa / T₂

Simplifying the equation, we get:

T₂ = (87.3 kPa * (26.0 + 273.15) K) / 82.0 kPa

Calculating the expression, we find:

T₂ ≈ 300.26 K

Converting Kelvin to Celsius, we subtract 273.15:

T₂ ≈ 300.26 - 273.15 ≈ 27.11 °C

Therefore, the temperature of the gas in the tire, when the pressure increases to 87.3 kPa, is approximately 27.11 °C.

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The height of the cliff is approximately 269 feet.

We will be using the tangent function to find the height of the cliff.
Draw a right triangle with the rowboat at one corner, the cliff's base as the adjacent side, and the cliff's height as the opposite side.

The angle of elevation (73.8 degrees) is between the rowboat and the cliff's base.
We are given the adjacent side (75 feet) and we need to find the opposite side (height of the cliff).

To do this, we will use the tangent function:
tan(angle) = opposite side / adjacent side
Plug in the given values:
tan(73.8) = height / 75
Solve for the height:
height = tan(73.8) * 75
Calculate the value:
height ≈ 269.4 feet
Round the height to the nearest foot:
height ≈ 269 feet.

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Answer:

Step-by-step explanation:

You want to know angles x, y, and z in the given figure where parallel lines 'a' and 'b' are crossed by a transversal. The sum of these angles is 290°.

Angles y and z are called consecutive interior angles. As such, they are supplementary, so their sum is 180°.

  x + y + z = 290°

  x + 180° = 290°

  x = 110°

Angles x and y are vertical angles, so are congruent.

  y = x = 110°

Then z is found from ...

  y + z = 180°

  110° + z = 180°

  z = 70°

The measures of x, y, and z are 110°, 110°, and 70°, respectively.

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The experimental variable is plotted on the x-axis in a graph, while the y-axis represents the dependent variable or the outcome being measured in response to changes in the independent variable.

In a graph, the experimental variable is typically plotted on the x-axis. The x-axis represents the independent variable, which is the factor being manipulated or controlled by the experimenter. This variable is often plotted horizontally along the bottom of the graph.

The y-axis, on the other hand, represents the dependent variable, which is the outcome or result that is measured or observed in response to changes in the independent variable. The y-axis is typically plotted vertically along the side of the graph.

The x-axis and y-axis together form a Cartesian coordinate system, with the x-axis representing the horizontal axis and the y-axis representing the vertical axis. This allows for the representation of the relationship between the independent and dependent variables in the form of a scatter plot, line graph, bar graph, or other types of graphs.

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Answer: m = 1/2

Step-by-step explanation: Let's use the graphing method.

To find the slope of the line using the graphing method,

we first set up a coordinate system.

Next, we plot our two points, (0, 0), which we label point A, and (2, 1),

which we label point B, and we graph our line, as shown below.

Now just graph the line through the two points.

Now, remember that the slope, or m, is equal to the

rise over run from point A to point B.

To get from point A to point B, we rise 1 unit and run 2 units.

So our slope, or rise over run, is 1/2.

Answer: C. 1/2

Step-by-step explanation:

Answer: 12x

Step-by-step explanation:

(

2

+

3

)

(

2

−

1

)

=

1

0

2

(

+

8

)

2

−

9

=

5

2

3

1

5

+

(

+

2

)

=

1

0

4

(

−

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Answer:

The student did not distribute properly to get A= P+Prt. The equation can be fixed by putting a factor of P in the denominator: r=(A-P)/Pt

Step-by-step explanation:

just did it

There is an error in step 2 where distributive property was not followed.

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Steps taken by the student to solve the formula of the simple interest for the values of '',

Step 1 : A = P( 1 +rt)

Step 2 : A = P + rt

Step 3 : A - p = rt

Step 4 : r = (A - P)/ t

There is an error in step 2 where distributive property was not followed.

Correct steps should be,

Step 1 : A = P( 1 +rt)

Step 2 : A = P + Prt [By distributive property]

Step 3 : A - P = Prt

Step 4 : r = (A-P)/Pt

Therefore, error was made in step 2.

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Answer:

A fraction bar separates the numerator and denominator of a fraction. It indicates that a division of the numerator by the denominator will be performed.

Step-by-step explanation:

In math, a fraction bar can be defined as a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions. Fraction bars or fraction strips are a part-to-whole representational model. Each part of a fraction bar represents one unit out of a whole.

Answer:To separate the top and bottom numbers.

Step-by-step explanation:In math, a fraction bar can be defined as a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.