Solve the system of equations

c. incremental model Agile methods are iterative and incremental approaches to software development that prioritize customer satisfaction through the early and continuous delivery of working software.

The incremental model is a key aspect of agile methods, where the software is developed incrementally through a series of iterations or sprints. At the end of each iteration, user feedback is collected and incorporated into the next iteration, allowing the software to evolve and adapt to changing requirements. This approach allows for greater flexibility and responsiveness to user needs and helps ensure that the final product meets customer expectations.

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Answer:

$46.14

Step-by-step explanation:

Just multiply $3.25 and 14.2.

Answer: 73

Step-by-step explanation:  

Multiply using the FOIL method, then combine the real and imaginary parts of the expression.

73

Answer:

73

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want values of ∆y and dy for y = x² -6x and x = 5, ∆x = dx = 0.5.

The value of dy is found by differentiating the function.

  y = x² -6x

  dy = (2x -6)dx

For x=5, dx=0.5, this is ...

  dy = (2·5 -6)(0.5) = (4)(0.5)

  dy = 2

The value of ∆y is the function difference ...

  ∆y = f(x +∆x) -f(x) . . . . . . . where y = f(x) = x² -6x

  ∆y = (5.5² -6(5.5)) -(5² -6·5)

  ∆y = (30.25 -33) -(25 -30) = -2.75 +5

  ∆y = 2.25

__

Additional comment

On the attached graph, ∆y is the difference between function values:

  ∆y = -2.75 -(-5) = 2.25

and dy is the difference between the linearized function value and the function value:

  dy = -3 -(-5) = 2.00

<95141404393>

Answer:

Z = 108º

Step-by-step explanation:

The interior angles of a quadrilateral (4-sided figure) sum to 360º (think about a rectangle). Therefore,

(x + 2x + 4x + 3x)º = 360º

↓ combining like terms

10xº = 360º

↓ dividing by 10º

x = 36

We can use this x-value to find the measure of angle Z.

Z = 3xº

Z = 3(36)º

Z = 108º

Answer:

q = 8/5r or q = 1.6r

Step-by-step explanation:

-7q + 12r = 3q - 4r

+7q           +7q

12r = 10q - 4r

+4r           +4r

16r = 10q

/10    /10

16/10 = 8/5     8/5 = 1.6

q = 8/5r or q = 1.6r

Answer:

The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/2π .

Step-by-step explanation: hope this helped!

Answer:

The radius of the circle with circumference 22cm is 3.5 cm

Step-by-step explanation:

The circumference of circumference of a circle is the distance of its closed boundary.

The circumference of a circle with radius r is given by the formula:

\(C = 2\pi r\)

Given

C = 22cm

Putting the values in the formula

\(22 = 2 * \frac{22}{7} * r\\22 = \frac{44}{7} * r\\r = \frac{7}{44} * 22\\r = \frac{7}{2}\\r = 3.5cm\)

Hence,

The radius of the circle with circumference 22cm is 3.5 cm

Answer:

C

Step-by-step explanation:

When we multiply numbers of the same base regardless of the exponent, we add the exponents together.

So,

\(2 {}^{x} \times 2 {}^{y} = 2 {}^{x + y} \)

Similarly for this case multiplying the 3 7's ^1/3 would simply mean we are adding 3 1/3's together, to get 7^3/3, which is essentially 7^1=7

1. The average annual return of a set of annual returns (+25%, -45%, 482%, and +115%) is 28.07%.

2. The average annual return is not provided for a given set of annual returns.

3. The average annual return for a stock that rises from $0.50 to $50 per share in 20 years is 25.89%.

4. The average annual return for a stock that falls from $80 to $10 per share in two years is 64.64%.

5. After five years with an average annual return of -3.50%, the portfolio is worth $83,688.87, resulting in a total return of -1,632.

1. To calculate the average annual return, we add up the individual annual returns and divide by the number of years. In this case, (25% - 45% + 482% + 115%) / 4 ≈ 28.07%.

2. The average annual return is not provided for the given set of annual returns. Additional information is needed to calculate the average annual return.

3. To calculate the average annual return for the stock that rises from $0.50 to $50 per share in 20 years, we use the formula [(Ending Value / Beginning Value)^(1/n) - 1] * 100. In this case,\([(50 / 0.50)^(1/20) - 1] * 100\) ≈ 25.89%.

4. The average annual return for the stock that falls from $80 to $10 per share in two years is [(10 / 80)^(1/2) - 1] * 100 ≈ 64.64%.

5. After five years with an average annual return of -3.50%, we can calculate the portfolio value using the formula S =\(P * (1 + r)^n\), where S is the final value, P is the initial value, r is the average annual return, and n is the number of years. In this case, S = 100,000 * (1 - 0.035)^5 ≈ $83,688.87. The total return is the difference between the final value and the initial value, resulting in -1,632.

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Answer:

x=8

Step-by-step explanation:

2.25x=1.5x+6

-1.5x     -1.5x

0.75x=6

3/4x=6

x=6*4/3

x=24/3

x=8

Answer:

8

Step-by-step explanation:

Look at the attachment

Answer: option c

Randi wants to determine if at least 90% of the employees at her company are enrolled in a health insurance plan. She randomly samples 500 employees and finds that 459 of them are currently enrolled.

In a one-proportion hypothesis test, the null hypothesis (H0) represents the assumption or claim being tested. In this case, the null hypothesis states that the true proportion of employees enrolled in the health insurance plan at the company is equal to or less than 90%. Mathematically, it can be written as H0: p ≤ 0.9, where p represents the true proportion.

The alternative hypothesis (Ha), on the other hand, represents the claim being made or the possibility of an effect. In this case, the alternative hypothesis would be Ha: p > 0.9, indicating that the true proportion of employees enrolled is greater than 90%.

To test these hypotheses, Randi can use a statistical test, such as the z-test or the chi-square test, based on the nature of the data. Since the sample size is large (n = 500) and the data involves proportions, the z-test is commonly employed. The test calculates the z-score using the sample proportion and the hypothesized proportion, and then determines the probability of obtaining a sample proportion as extreme as the one observed, assuming the null hypothesis is true.

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Answer:

See Below

Step-by-step explanation:

Isolate f

h =  4 + f

-4   -4

h - 4 = f

Or  f = h-4

The garden has an actual area of 2/9 square feet

From the question, the given parameters are

The actual area of the garden is the product of the scale area of the rectangular garden and the square of the scale factor of dilation

This is represented as

Actual area = Scale area of the rectangular garden x Scale factor of dilation²

Substitute the known values in the above equation

Actual area = 2 * (1/3)²

Evaluate the exponent

Actual area = 2 * 1/9

This gives

Actual area = 2/9

Hence, the actual area of the garden is 2/9 square feet

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Answer:

60%

Step-by-step explanation:

The set of solutions can also be written as an ordered pair:

\($(\frac{1}{4}, -\frac{3}{4}, \frac{5}{3}, -5)$\)

The given linear system of equations is as follows:

\($$3x_1 + x_4 = -15$$\\$$-4x_2 + x_3 = 20$$\)

In matrix form, the above equations are:

\($$\begin{pmatrix}3 & 0 & 0 & 1\\0 & -4 & 1 & 0\end{pmatrix} \begin{pmatrix}x_1\\x_2\\x_3\\x_4\end{pmatrix} = \begin{pmatrix}-15\\20\end{pmatrix}$$\)

The matrix form is of the type Ax = b, where A is the coefficient matrix, x is the vector of variables, and b is the vector of constants.

Thus, to find the solution to this system of equations, we need to find the inverse of matrix A, and multiply it with the vector b, i.e., x = A⁻¹b.

Here is how we can solve this system of equations using matrix multiplication:

\($$\begin{pmatrix}3 & 0 & 0 & 1\\0 & -4 & 1 & 0\end{pmatrix}^{-1} = \frac{1}{12}\begin{pmatrix}4 & 0\\3 & -1\\0 & 4\\-12 & 0\end{pmatrix}$$\)

Multiplying this inverse matrix with the vector b, we get:

\($$\begin{pmatrix}\frac{1}{4}\\-\frac{3}{4}\\\frac{5}{3}\\-5\end{pmatrix}$$\)

Thus, the solution to the given system of equations is:

\($$x_1 = \frac{1}{4}, x_2 = -\frac{3}{4}, x_3 = \frac{5}{3}, x_4 = -5$$\)

This set of solutions can also be written as an ordered pair:

\($(\frac{1}{4}, -\frac{3}{4}, \frac{5}{3}, -5)$\)

The solution has four variables and, therefore, we need to provide four values.

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The pair of functions that are not inverses of each other is (A).

To determine if two functions, g(x) and h(x), are inverses of each other, we need to check if the composition of the two functions, g(h(x)) and h(g(x)), both result in x.

A. g(x) = 2 + 9 = 11, h(x) = 1/2x - 9

g(h(x)) = g(1/2x - 9) = 2 + 9 = 11

h(g(x)) = h(11) = 1/2(11) - 9 = -3/2

Since g(h(x)) ≠ x and h(g(x)) ≠ x, the functions g(x) and h(x) are not inverses of each other.

B. g(x) = x - 1, h(x) = x + 1

g(h(x)) = g(x + 1) = (x + 1) - 1 = x

h(g(x)) = h(x - 1) = (x - 1) + 1 = x

Since g(h(x)) = x and h(g(x)) = x, the functions g(x) and h(x) are inverses of each other.

C. g(x) = 3x - 6, h(x) = 1/3x + 2

g(h(x)) = g(1/3x + 2) = 3(1/3x + 2) - 6 = x

h(g(x)) = h(3x - 6) = 1/3(3x - 6) + 2 = x

Since g(h(x)) = x and h(g(x)) = x, the functions g(x) and h(x) are inverses of each other.

D. g(x) = 3x + 4, h(x) = x - 4/3

g(h(x)) = g(x - 4/3) = 3(x - 4/3) + 4 = 3x - 4

h(g(x)) = h(3x + 4) = (3x + 4) - 4/3 = 3x + 8/3

Since g(h(x)) ≠ x and h(g(x)) ≠ x, the functions g(x) and h(x) are not inverses of each other.

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Answer:

The answer is 5 N toward north

Step-by-step explanation:

The value of the equation A = 154,504 / 28 = 5518

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Let the dividend be p = 154,504

Let the divisor be q = 28

Substituting the values in the equation , we get

A = p / q

A = 5,518

     5518

28 | 154504

1 4 0      

 1 4 5    

 1 4 0    

     5 0  

     2 8  

     2 2 4

     2 2 4

         0

So , the remainder of the equation is 0 and the quotient is 5518

Hence , the equation is A = 5518

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Answer:

  \(\dfrac{5}{x^3-12x^2+47x-60}\)

Step-by-step explanation:

Though it is not what you have written, we think you want to simplify ...

  \(\dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}\)

_____

When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).

It is 180 just do 60 times 3 since 30 times 3 is 90 and you would figure out how long it take him.

1. The interval that contain the exact percentage of all Florida teenagers is from 73.4% to 84.6%.

2. The range of the number of teenagers in Florida who think helping others is important is between 1,541,400 and 1,779,600 teenagers.

Margin of error (ME) = 2.9%

Sample size (n) = 800

Sample proportion (p) = 79% = 0.79

To get interval that contain exact percentage of all Florida teenagers who think that helping others who are in need will be very important to them as adults. We can use: CI = p ± z* (ME)

Assuming a 95% confidence level, z* = 1.96.

CI = 0.79 ± 1.96*(0.029)

CI = 0.79 ± 0.05684

CI = 0.79 + 0.05684 or 0.79 - 0.05684

CI = 0.84684 or or 0.7334

CI = (0.734, 0.846).

To get range of the number of teenagers in Florida, we will multiply the interval by the population size:

Lower bound:

= 0.734 * 2,100,000

= 1,541,400

Upper bound:

= 0.846 * 2,100,000

= 1,776,600.

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Answer:

try multiplication

Step-by-step explanation:

Answer:

Hi...☺

Here is your answer...✌

GIVEN THAT,

T8 = 17 and T19 = 39

T8 = 17

a + 7d = 17

a = 17 - 7d -----(1)

and

T19 = 39

a + 18d = 39

17 - 7d + 18d = 39 ___ [ from (1) ]

11d = 39-17 = 22

d = 22/11

d = 2

Putting d = 2 in eq(1)

we get

a = 17 - 7(2) = 17 - 14

a = 3

Now,

T25 = a + 24d

= 3 + 24×2 = 3 + 48

= 51

HENCE,

25th term of Given AP is 51

point slope form:y-2=4(x+1)

then distribute 4 and simplify y-2=4x+4 , y=4x+6 is the slope -y intercept form

then, move 4x on the left side, you get -4x+y=6 , multiply every term by -1, you get 4x-y=-6 which is standard form.

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer:

Where's the grid? From what I gathered it is essential in this question.

Step-by-step explanation:

Answer:

The set of numbers that includes only whole numbers is 2, 5, 6, 15

Step-by-step explanation:

Whole numbers belong to the subset of positive integers such as 0, 1, 2, 3,..... Whole numbers consists of the set of natural numbers which are the numbers we use in counting including 0 which as specified in the question is a subset of the set of integers and can be produced by the addition and or subtraction   of 1s to each other such as 1 - 1 = 0

Therefore, the set of numbers that includes only whole numbers is 2, 5, 6, 15.

Answer: It’s C guys plz give me brainliest :)

Step-by-step explanation:

Answer:

  42, 38, 34, 30

Step-by-step explanation:

You want the first 4 terms of the sequence described by ...

  an = 42 -4(n -1), n ∈ ℕ

You can write the first 4 terms of the sequence by evaluating the 'an' expression for n = 1, 2, 3, 4.

Or, you can recognize the expression describes a sequence with a first term of 42 and a common difference of -4. That is, each term is 4 less than the one before.

The terms you want are ...

  42, 38, 34, 30

__

Additional comment

The equation for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference. Comparing this to the given equation, we see a1 = 42, d = -4.

<95141404393>

Answer: D

Step-by-step explanation: To solve the inequality, subtract 8 from 19 to get h \(\less\)is less than 11. The only answer that is less than 11 is D.

The per capita income is the ratio of the total income to the population

The per capita income of the county is $30150.75

The given parameters are:

Population = 159.2 thousand

Land area = 1,536.7 square miles

Total income = $4.8 billion

The per capita income is then calculated as:

Per capita income (p) = total income /population

So, we have:

\(p = \frac{\$4.8\ billion}{159.2\ thousand}\)

Evaluate the quotient

\(p = \$30150.75\)

Hence, the per capita income of the county is $30150.75

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