The chart to the right shows a country's annual egg production. Model the data in the chart with a linear function, using the points (1994,52.7) and (1998,61.4). Let x represent the year,

where x=0 represends 1984 x = 1 represents 1995, and so on, and let y represent the egg

production (in billions), Predict egg production in 2000

Answer:

6.45

Step-by-step explanation:

6.9-6.0=0.9

0.9÷2=0.45+6=6.45

This is the middle between 18 and 21.

Hope this helps and give brainliest, thank me and rate it 5 please. :)

Answer:6.45

Step-by-step explanation:

Answer:

Nothing further can be done with this topic

Step-by-step explanation:

Answer:

This answer is in its simplest form. There are no like terms in this equation.

(a) The total growth over 5-year period is 44%.(b) The annual geometric mean rate of return is 8.49%.

(a) Total growth over 5-year period:To calculate the total growth, we have to add the returns on common stocks over 5 years and find the average rate of return.Returns: 10%, 4%, -5%, 15%, 20%Addition of returns: 10 + 4 - 5 + 15 + 20 = 44.Total growth over 5 years: 44%A 44% total growth in 5 years means that the investments have grown 44% over the 5-year period.

(b) Annual geometric mean rate of return:The formula to find out the geometric mean is: Geometric mean = [(1 + r1) × (1 + r2) × (1 + r3) ….. × (1 + rn)]1/nWhere,r1, r2, r3…rn are the individual return is the number of periods of return.Geometric mean = [(1 + 0.10) × (1 + 0.04) × (1 - 0.05) × (1 + 0.15) × (1 + 0.20)]1/5.Geometric mean = [(1.10) × (1.04) × (0.95) × (1.15) × (1.20)]1/5Geometric mean = 1.0849 - 1Geometric mean = 0.0849Geometric mean rate of return = 8.49%.

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Answer:

anything thats not in the range of 2.645 and 2.824 next time please include options or a picture

Step-by-step explanation:

Answer:

1/4 or .25

Step-by-step explanation:

8x =2

Divide by 8 on both sides

8x=2

__. ___

8.     8

x = 2/8=1/4 or .25

Answer: x equals 1/4 or 25% or 0.25

The damped equation * + Kx + (v + ß cost)x = 0 can be transformed into a Mathieu equation by the change of variable x = zet, where μ is chosen suitably.

Let's consider the damped equation * + Kx + (v + ß cost)x = 0, where x is the dependent variable, t is the independent variable, K, v, and ß are constants, and * denotes the second derivative with respect to t.

To transform this equation into a Mathieu equation, we can make the change of variable x = zet, where z is a constant to be determined. Substituting this change of variable into the original equation, we get:

z**et + Kzet + (v + ß cost)zet = 0.

Next, we can divide the entire equation by zet to simplify it:

z** + Kz + (v + ß cost) = 0.

To obtain a Mathieu equation, we need the equation to be in the form:

z** + (a - 2q cos(2t))z = 0.

Comparing the transformed equation with the desired form, we equate the terms and obtain:

a - 2q cos(2t) = K,

a = v + ß,

q = ß/2.

Thus, by choosing μ = ß/2, the damped equation * + Kx + (v + ß cost)x = 0 can be transformed into a Mathieu equation with the change of variable x = zet.

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Answer:

\(-3x^2+6xy+4\)

Step-by-step explanation:

\((3x^2+2xy+7)-(6x^2-4xy+3)=\\\\3x^2-6x^2+2xy+4xy+7-3=\\\\-3x^2+6xy+4\)

Hope this helps!

Answer:

3x2-6xy

Step-by-step explanation:

I think i dont know

Answer:

$7,000   in the 5% account

$3,000   in the 8% account

Step-by-step explanation:

Let x be the amount invested at 5% the remainer is at 8%

.05x + .08(10000 - x) = 590

Distribute

.05x + 800 - .08x = 590

Combine like terms

-.03x = -210

Divide both sides by-.03

x = 7000   in the 5% account

1000 - x = 3000   in the 8% account

The revised strategy of picking 3 numbers from the array uniformly, sorting the 3 numbers, and using the middle of the 3 as the pivot results in a higher probability of finding a pivot in the "middle half" and a lower expected number of times that we have to pick until we find one that is in the "middle half".

The probability that our chosen pivot item is in the "middle half" using the revised strategy is 3/4. This is because we are now picking 3 numbers from the array uniformly and using the middle of the 3 as the pivot. The probability that the first number is in the "middle half" is 1/2, the probability that the second number is in the "middle half" is 1/2, and the probability that the third number is in the "middle half" is 1/2. The probability that at least one of these numbers is in the "middle half" is 1 - (1/2)*(1/2)*(1/2) = 3/4.

The expected number of times that we have to pick in this manner until we find one that is in the "middle half" is 1/(3/4) = 4/3. This is because the probability of finding a pivot in the "middle half" using this revised strategy is 3/4, so the expected number of times we have to pick is the inverse of this probability.

Overall, the revised strategy of picking 3 numbers from the array uniformly, sorting the 3 numbers, and using the middle of the 3 as the pivot results in a higher probability of finding a pivot in the "middle half" and a lower expected number of times that we have to pick until we find one that is in the "middle half".

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Answer: The domain would be (0 hours, 2.5 hours) and the range would be (0 feet, 30,000 feet) in this graph.

Step-by-step explanation:

The domain refers to the set of possible input values. The domain of a graph consists of all the input values shown on the x-axis.

The range is the set of possible output values, which are shown on the y-axis.

An x-axis on a graph is the horizontal line and a y-axis on a graph is the vertical line. The x-axis in this graph would be the height in feet and the y-axis in this graph would be the time in hours.

Answer: 5x - 9

Hope this helps :)

Answer:the other one is wrong

Step-by-step explanation:5x - 9is wrong

Answer: (1,2)

Step-by-step explanation:

1)

x+y=3

y=-x+3

x | 0 | 3 |

y | 3 | 0 |

2)

3x+y=5

y=-3x+5

x | 0 | 2 |

y | 5 | -1 |

Answer:

D

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

If you consider an open circle, it would exclude the value with which we have circled when writing the inequality. Hence the only possible signs with in such an example can be a greater than sign ( > ) or less than sign ( < );

Let us take a look at an example to help. We are given a graph with an open circle on the number say 3. An arrow extends to the right of this number 3;

\(Inequality Sign - <,\\Inequality - x > 3,\\\)

Hope this helps!

Given the following question:

Sarah deposited $1400 for one year

10% compounded semi-annually

Semi-annually means twice a year or it occurs twice in a year.

Since semi-annually means twice a year we know that the amount of times interest was added to Sarah's account was twice a year.

How many times was interest added to Sarah's account?

A: Two times

8

i did this before so have fun on your future work :D

Answer:

  20 km/hr

Step-by-step explanation:

The boat's still-water speed is the average of its speeds against and with the current:

  (15 +25)/2 = 20 . . . km/hr

__

If you want to write equations, you can let b and c represent the speeds of the boat and current in km/hr.

  b - c = 15 . . . . upstream speed

  b + c = 25 . . . . downstream speed

Add these two equations, and you get ...

  (b -c) +(b +c) = (15) +(25)

  2b = 40

  b = 20 . . . . divide by 2

The speed of the boat in still water is 20 km/hr.

Answer:

20 km/hr

Step-by-step explanation:

To solve this, you have to find the average speed it is going. To find this, you just add up all of the speeds mentioned and divide it by the number of speeds you added.

15 +25=40

40/2=20

20km/hr!!!

Good luck on what you are doing I hope you do well! Brainliest would be great :)

In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".

They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.

They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.

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Answer:

I think the answer is -4

Hi there! Hopefully this helps!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\((4-2)^{3} -3\times 4\)

First we subtract 2 from 4 to get 2.

\(2^{3} -3\times 4\)

Next we calculate 2 to the power of 3 and get 8.

\(8-3\times 4\)

Then we multiply 3 and 4 to get 12.

\(8-12\)

Lastly we Subtract 12 from 8 to get −4.

Range of the function f(x) = 3x – 2 is (- ∞, ∞)

f(x) = 3x – 2

Here f(x) is a real valued function

- ∞ < x < ∞

- ∞ < 3x < ∞

- ∞ < 3x -2< ∞

- ∞ < f(x) < ∞

In the case of the function f(x) = 3x – 2, the range of the function is all real numbers. This is because for any given value of x, a corresponding value of y can be obtained by plugging x into the function. For example, if x = 4, then y = 34 - 2 = 10. If x = -1, then y = 3(-1) - 2 = -5.

Therefore, the range of the function f(x) = 3x – 2 is all real numbers, which can be represented as (- ∞, ∞)

what is the range of the function?

The range of a function is the set of all possible output values of the function. In other words, it is the set of all possible values of y for the function f(x) = y.

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Required polynomial in the form p(x) is: \(\[f(x)=\boxed{x^3-2x^2+4x-3+\frac{5}{x-1}}\]\)

We are given the following polynomial: \(\[f(x)=\frac{x^4-3x^3+2x^2-7x-2}{x-1}\]\)

To perform polynomial long division we divide the highest degree terms of the numerator and denominator. Then we write the quotient and remainder on top of each other and multiply the denominator of the original problem with the quotient to check if the answer is correct.

Let's start with the highest degree terms.

\(\[\begin{array}{r r c r r} &x^3 &-2x^2 &+4x &-3\\ \cline{2-5} x-1 & x^4 &-3x^3&+2x^2&-7x&-2 \\ & \underline{x^4} &-\underline{x^3} & & & \\ & & -2x^3 & +2x^2 & & \\ & & \underline{-2x^3} & +\underline{2x^2} & & \\ & & & 0x^2 & -7x & \\ & & & & -7x & +7 \\ & & & & \underline{-7x} & +\underline{7} \\ & & & & & \boxed{5} \\ \end{array}\]\)

Therefore, the required polynomial in the form p(x) is:\(\[f(x)=\boxed{x^3-2x^2+4x-3+\frac{5}{x-1}}\]\)

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Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

Answer:

8.760 x 10^3

Step-by-step explanation:

There are 8760 hours in 1 year. So, you can convert this to scientific notation by moving the decimal from 8760 three times to the left:  8760. → 8.760  And since it was moved three times, put an exponent of 3 to the 10:  10^3  So, you get 8.760 x 10^3 hours in a year.

Hope this helps! :)

The equation of the line that passes through the point (-4, -5) and is parallel to y = 1/2x -4 is y = 1/2x - 3

From the question, we are to determine the equation of the line that passes through the given point and is parallel to the given equation.

The given point is (-4, -5)

The given equation is y = 1/2x - 4

NOTE: If two lines are parallel, then their slopes are equal

Now, we will determine the slope of the given line '

y = 1/2x - 4

Compare to the general form of an equation of a straight line

y = mx + b

Where m is the slope

and b is the y-intercept

Therefore, m = 1/2

That is, the slope of the line is 1/2

Now, we will determine the equation of the line that has a slope of 1/2 and that passes through the point (-4, -5)

Using the point-slope form of the equation of a straight line

y - y₁ = m(x - x₁)

Then,

y - (-5) = 1/2(x - (-4))

y + 5 = 1/2(x + 4)

y + 5 = 1/2x + 2

y = 1/2x + 2 - 5

y = 1/2x -3

Hence, the equation of the line is y = 1/2x - 3

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The statement is false.

Answer: $36.8

Step-by-step explanation:

From the question, we are told that Brady and 3 friends went to lunch at Mazzio’s Pizza and that their meal cost $32, and they left a 15% tip. Their total bill will be $32 plus 15% of $32. This can be written mathematically as:

= $32 + (15% of $32)

= $32 + (15/100 × $32)

= $32 + (0.15 × $32)

= $32 + $4.8

= $36.8

Their total bill is $36.8

The true mean of the population (the true mean of all high school students spending an average of how many hours each week doing sports) is between 22.6 and 29.0 hours.

The 95% Confidence Interval for the mean of the sample of 8 high school students spending an average of 25.8 hours each week doing sports is calculated by using the formula:

CI95 = (X ± (2*Standard Error))

Where X is the sample mean (25.8 hours) and the Standard Error is calculated as the standard deviation (3.2 hours) divided by the square root of the sample size (8).

Therefore, the 95% Confidence Interval is calculated as:

CI95 = (25.8 ± (2*(3.2/√8)))

CI95 = (25.8 ± 3.2)

CI95 = (22.6, 29.0)

This means that we are 95% confident that the true mean of the population (the true mean of all high school students spending an average of how many hours each week doing sports) is between 22.6 and 29.0 hours.

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