What does f(x) mean? It shows up every where but I don’t know what it means

The baseball field's fence, soil and sod requirements will be-: Length of fencing ≈ 1410.5 feet, Area of the sod ≈ 118017.13 ft², Area of of the field covered with dirt ≈ 7,049.6 ft²

To find the area of a sector of a circle:

The amount of fencing, dirt, and sod can be found using the formula for finding the circumference of a circle and the area of a circle as follows;

Circle's Area can be given by, (A)= π × r²

Circle's Circumference can be given by, (C) = 2 × π × r

Where, 'r' denotes the radius of the circle

The area of a quarter of a circle is therefore= A ÷ 4

The perimeter of a quarter of a circle = C ÷ 4

Taking reference from the image,

Fencing; (1/4) × 2 × π × 380 + 2 × 15 + 2 × 380 + (1/4) × 2 × π × 15

Fencing = 190·π + 790 + 7.5·π = 197.5·π + 790 ≈ 1410.5

The fencing ≈ 1410.5 feet

Grass; π/4 × (380 - 6)² + 87² - π/4 × (87 + 30)² + 2 × 380 × 15 + π/4 × 15² - (3/4) × π × 10² - 25·π = 31528·π + 18969 ≈ 118017.13

The area covered by the sod is about 118017.13 square feet

Dirt; π/4 × 380² - π/4 × (380 - 6)² + π/4 × (87 + 30)²- 87² + π·100 = (18613·π - 30276)/4 ≈ 7049.6

The area occupied by the dirt is about 7049.6 square feet

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Complete Question:Find the amount of fencing, dirt, and sod needed to rebuild the baseball field?(refer to image attached for dimensions of field)

The 90% confidence interval obtained from examining 653 customers in one fast food chain's drive-through has a lower bound of 178.2 seconds and an upper bound of 181.6 seconds. This means that based on the sample data collected from the 653 customers, we can be 90% confident that the true average drive-through service time for this fast food chain falls within the range of 178.2 seconds to 181.6 seconds.

In other words, if we were to repeatedly sample 653 customers from the same fast food chain's drive-through and calculate confidence intervals, approximately 90% of those intervals would contain the true average service time of the entire population of customers.

The range between the lower and upper bounds of the confidence interval provides an estimate of the precision or uncertainty associated with our sample mean.

The narrower the interval, the more precise our estimate of the true population mean becomes. In this case, the interval is relatively narrow, indicating a relatively precise estimate of the average drive-through service time for this fast food chain based on the sample data.

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1) Given

2) Definition of congruent segments

3) Segment addition postulate

4) Substitution

5) Substitution

6) Transitive property of equality

7) Definition of congruent segments

Answer:

Use colon method

Step-by-step explanation:

So it is more easy

Answer:

creo q es 138 x 8 y la respuesta dividele para 90

The equation for the relationship between the weight (in kilograms) of the wrestler after x months is y = 6x + 90.

We have,

To complete the equation for the relationship between weight and the number of months, we can use the information given.

We know that after 8 months, the wrestler weighed 138 kilograms.

We also know that the wrestler started at 90 kilograms.

Let's assume that the weight gain is constant over the 8-month period.

The wrestler gained (138 - 90) kilograms in 8 months, which is 48 kilograms.

Therefore, the weight gain per month is 48 kilograms / 8 months

= 6 kilograms per month.

Now, we can express the relationship between weight (y) and the number of months (x) using the equation:

y = mx + b

where m is the slope (rate of weight gain per month) and b is the initial weight.

In this case, the equation becomes:

y = 6x + 90

Thus,

The equation for the relationship between the weight (in kilograms) of the wrestler after x months is y = 6x + 90.

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The complete question:

A young sumo wrestler decided to start a special high-protein diet in order to gain weight quickly and at a constant rate. After 8 months I weighed 138 kilograms. He started at 90 kilograms. Let y be the weight (in kilograms) of the wrestler after x months. Complete the equation for the relationship between weight and number of months.

Answer:

Step-by-step explanation: the "Zero Product Property" says that:

If   a × b = 0   then   a = 0   or   b = 0  

(or both a=0 and b=0)

It can help us solve equations:

Example: Solve (x−5)(x−3) = 0

The "Zero Product Property" says:

If  (x−5)(x−3) = 0  then   (x−5) = 0   or   (x−3) = 0

Now we just solve each of those:

For (x−5) = 0 we get x = 5

For (x−3) = 0 we get x = 3

And the solutions are:

x = 5, or x = 3

Answer:

- Y-intercept: (0, 2) or just 2

- Slope: -1

- Line: y + x = 2 or y = -x + 2

Step-by-step explanation:

The Variance for the number of people catching a cold is; 24

This is a binomial distribution problem and we know that a success will occur when a person catches a cold during the cold and flu season.

We are told that the probability that a person catches a cold during the cold and flu season is 0.4.

Thus;

Probability of a success; p = 0.4.

Let X be the number of successes in 10 people

Sample size; n = 10

The formula to find the variance of this binomial distribution is;

Var[X] = σ² = np(1 − p)

Plugging in the relevant values for n and p gives;

(10 * 0.4)(1 - 0.4) = 24

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The solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

To solve the given differential equation y''(t) = 1 - t^17 with the initial condition y(1) = 12, we can integrate the equation twice.

Integrating the equation once will give us y'(t):

y'(t) = ∫(1 - t^17) dt

y'(t) = t - (1/18)t^18 + C₁

Now, we need to apply the initial condition y(1) = 12 to determine the value of the constant C₁:

12 = 1 - (1/18) + C₁

C₁ = 12 + (1/18) - 1

C₁ = 217/18

Next, we integrate y'(t) to find y(t):

y(t) = ∫(t - (1/18)t^18 + 217/18) dt

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + C₂

Finally, we apply the initial condition y(1) = 12 to determine the value of the constant C₂:

12 = (1/2) - (1/342) + (217/18) + C₂

C₂ = 12 - (1/2) + (1/342) - (217/18)

C₂ = (20619 - 1 + 6 - 819)/(342)

C₂ = 19805/342

Therefore, the solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

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There are 183183 ways to form a committee with six members if it must have more women than men.

We need to find the number of ways to form a committee with six members, having more women than men.

We can achieve this in three possible scenarios:

To form a committee with more women than men, we can have either 1, 2, or 3 men on the committee.

We need to calculate the number of ways to form a committee in each of these cases and add them up to get the total number of ways.

Case 1: 1 man and 5 women

We can choose 1 man out of 11 and 5 women out of 15.

The number of ways to do this is:

11C1 * 15C5 = 11 * 3003 = 33033.

Case 2: 2 men and 4 women

We can choose 2 men out of 11 and 4 women out of 15.

The number of ways to do this is:

11C2 * 15C4 = 55 * 1365 = 75075

Case 3: 3 men and 3 women

We can choose 3 men out of 11 and 3 women out of 15.

The number of ways to do this is:

11C3 * 15C3 = 165 * 455 = 75075

Total number of ways = 33033 + 75075 + 75075 = 183183
This gives you the total number of ways to form a committee with six members, with more women than men.

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Answer:

x < -20

Step-by-step explanation:

To solve x/5 + 6 < 2,

First subtract 6 from both sides of the equation.

This makes x/5 < -4.

Then multiply both sides of the equation by 5.

This makes x < -20.

Therefore, the solution to the equation is x < -20.

The terminal-point P(x, y) on the unit circle for "t = 7π/6' is (-√3/2 , -1/2), and the labelled graph of "y = 3+cos(x)" is shown below.

We have to find the terminal-point for t = 7π/6.,

The angle is given to be 7π/6, which means in degree it's measure is 210 degrees, and since the circle is unit circle ,So, radius = 1

The value of x and y, for terminal-point can be calculated as:

x = r × cos(θ)  = 1 × cos(210°) = -√3/2,

y = r × sin(θ) = 1 × sin(210°) = -1/2,

So, the required terminal point will be = (-√3/2 , -1/2).

To sketch graph of function "y = 3+cos x",

We substitute the values, and plot them,

For x = -2π, we get y = 4, the point is (-2π, 4);

For x = -π, we get y = 2, the point is (-π, 2);

For x = 0, we get y = 4, the point is (0, 4);

For x = π, we get y = 2, the point is (π, 2);

For x = 2π, we get y = 4, the point is (2π, 4);

Therefore, the graph of these points is sketched below.

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The given question is incomplete, the complete question is

Find the terminal point P(x, y) on the unit circle determined by the given value of t. (Remember to show work to justify your answer.) t = 7π/6.

Sketch the graph of y = 3+cos x. Remember to label your axes carefully (with numbers) and to show the five points accurately.

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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Answer:

The other two co-ordinates are (-3, 5) and (-8, 5).

Step-by-step explanation:

Consider the rectangle ABCD.

A = upper-left coordinates = (-8, 8)

B = upper-right coordinates = (-3, 8)

C = lower-left coordinates

D = lower-right coordinates

Let the side AB form the length of the rectangle.

Compute the distance between the points A and B as follows:

\(AB=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

      \(=\sqrt{(-3+8)^{2}+(8-8)^{2}}\\=\sqrt{(5)^{2}}\\=5\)

The length of the rectangle ABCD is 5 units.

The are of ABCD is given as 15 square units.

Compute the breadth of the rectangle as follows:

\(\text{Area}=\text{l}\times\text{b}\\15=5\times\text{b}\\b=3\)

So, the breadth of the rectangle is 3 units.

Then from point B, 3 units below would be (-3, 5).

And from point A, 3 units below would be (-8, 5).

The rectangle on the coordinate plane is attached below.

Answer: look downer

Step-by-step explanation: The other answer makes no sense, so here is a better view.

Answer:It should be 5238

Step-by-step explanation:

The mass of hydrogen atoms that measures 54 u is 89.64 x 10^-24

Analysis:

If 1 u = 1.66 x 10^-24, then 54 u = 54 x 1.66 x 10^-24 = 89.64 x 10^-24

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

1.375 pounds

Step-by-step explanation:

We want to find how many pounds of candy he has left.

He bought 5 pounds.

He gave out 3 pounds.

He ate 10 ounces. Converting 10 ounces to pounds:

1 ounce = 0.0625 pounds

10 ounces = 10 * 0.0625 = 0.625 pounds

Therefore the amount of candy he has left is:

5 - (3 + 0.625)

= 5 - (3.625)

= 1.375 pounds

Answer:

$40 in euros!

Step-by-step explanation:

True. The linear regression model is commonly used for descriptive purposes, such as identifying and quantifying relationships between variables.

True. While a linear regression model can be valuable for descriptive purposes, such as understanding relationships between variables, its predictive value can be limited. This is because linear regression models make assumptions about the linearity of the relationship between variables and may not capture more complex patterns in the data. Additionally, factors like outliers, multicollinearity, and overfitting can negatively impact the model's predictive accuracy. Therefore, it is important to consider these limitations when using a linear regression model for prediction purposes. However, its predictive value is limited as it assumes a linear relationship between variables and does not account for complex interactions or non-linearities in the data. Other predictive models, such as machine learning algorithms, may be more effective in predicting outcomes.

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Answer:

Step-by-step explanation:

so just go look it up in google or sum

hope it helps

The midpoint is given by the following expression:

Where:

Therefore:

Replacing:

Mx= 5 and My=6

Qx= X1 =-1 and Qy= y1=3

Rx=X2 and Ry= Y2

Equating the x component and solving for X2:

Doing the same with the y component:

Answer: the coordinates of R are: (X2,Y2) = (11 , 9).

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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Answer:

y=\(\frac{-2}{5}\)=\(\frac{6}{5}\)(x-1)

Step-by-step explanation:

I believe this should be the answer

9514 1404 393, H76, 5668 8637 469

Answer:

  a) (146 +135 +(p-8) +p)/4 = 135

  b) 3rd game: 125.5; 4th game: 133.5

Step-by-step explanation:

The average score is the sum of scores divided by the number of games.

We are told the 4th game score is p, and the third game score is p-8. So, the scores in the four games are ...

  146, 135, p-8, p

__

a) Their average is 135, so we have ...

  (146 +135 +(p-8) +p)/4 = 135 . . game average

__

b) Solving the equation, we get ...

  273 +2p = 540 . . . . . . . . . . . . . multiply by 4, collect terms

  2p = 267 . . . . . . . . . . . . . . . . . .  subtract 273

  p = 133.5 . . . . . . divide by 2

Then the third game score is p-8 = 133.5-8 = 125.5, and the fourth game score is 133.5

Pavan's scores in the 3rd and 4th games were 125.5 and 133.5, respectively.

_____

Comment on the question

Of course, these scores make no sense as bowling scores.

The total number of 5 digit palindrome that we have is 900.

This is the term that is used to refer to a number or a word phrase that is the same way when it is written from the front and from the back.

Examples of palindrome numbers are

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Answer:

Nonlinear

Step-by-step explanation:

You can see that at first, when x goes up by 2 y goes down by 2, but then after that x goes up by 2 and y goes down by 3, meaning it won't be a line because it goes down by different amounts.

=========================================================

Explanation:

The rotation rule we use is \((x,y) \to (y, -x)\)

The x and y coordinates step places, then the second coordinate (after the swap) changes in sign from positive to negative, or vice versa.

For example, the point (5,7) rotates to (7, -5). As another example, (2,-1) becomes (-1, -2). As another example, (-9,4) becomes (4,9).

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

In our case, the point (-1,-1) will rotate to (-1, 1)

Note: A 270 degree counterclockwise rotation about the origin is the same as a 90 degree clockwise rotation about the origin. Refer to the diagram below.