whats the rate of change?​

Answer:

Hey Friend.....

Step-by-step explanation:

This is your answer....

Hope it helps!

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Answer:

Step-by-step explanation:

simplify the following

3ab+2ab-ab =                            (3 + 2 = 5)

5ab - ab =                                  (5 - 1 = 4)

4ab

Organizations that build strategic information systems create systems that are paramount to business success. The correct option is(D).

Strategic information systems are those that support the long-term goals and objectives of an organization, aligning the use of technology with the strategic direction of the business. These systems provide a competitive advantage by enabling the organization to achieve its strategic goals and objectives more efficiently and effectively.

They typically involve the integration of different types of information systems, such as transaction processing systems, decision support systems, and executive information systems, to support the decision-making process at all levels of the organization.

By building strategic information systems, organizations can improve their overall performance, enhance their operational efficiency, and gain a competitive advantage in the marketplace.

Such systems can help organizations to better understand their customers, identify new market opportunities, improve supply chain management, and optimize business processes.

In today's rapidly changing business environment, strategic information systems are essential for organizations to remain competitive and achieve long-term success.

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The cost C (in dollars) for ordering and storing x units is C = 4x + 100,000 x. We can calculate it in the following manner.

The minimum cost of the order size can be obtained by differentiating the given expression of the cost C (in dollars) with respect to x and equating it to 0.

So, we have C(x) = 4x + 100,000/x

Differentiating both sides with respect to x, we get: C′(x) = 4 - 100,000/x²C′(x) = 0 for minimum C(x)∴ 4 - 100,000/x² = 0

Thus, we have x² = 100,000/4= 25,000

Order size x = ± 25,000

Taking positive value for the order size, we get:x = 25000

Therefore, the order size that will produce a minimum cost is 25,000. Answer: 25,000.
To find the minimum cost, we need to minimize the function C(x) = 4x + 100,000/x. To do this, we will find the critical points by taking the derivative of the function and setting it to zero.

dC/dx = 4 - 100,000/x^2

Now, set dC/dx = 0:

4 - 100,000/x^2 = 0

Add 100,000/x^2 to both sides:

4 = 100,000/x^2

Now, multiply both sides by x^2:

4x^2 = 100,000

Divide both sides by 4:

x^2 = 25,000

Take the square root of both sides:

x = sqrt(25,000)

x ≈ 158.11

Since we need to round to the nearest whole number, the order size that will produce a minimum cost is 158 units.

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The final polynomial equation after synthetic division is \(x^5-3x^4-81x+243\)

We need to solve;

Put the solution in the appropriate spot on the grid after using synthetic division to divide the following polynomial. Respond with descending powers of x.

The polynomial equation given is;

\(\left(x^4-81\right)\left(x-3\right)\)

By using synthetic division;

⇒ \(x^4x+x^4\left(-3\right)-81x-81\left(-3\right)\)

    \(x^5-3x^4-81x+243\)

→ The required final equation in descending powers of x is \(x^5-3x^4-81x+243\) .

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The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.

The devastation and expense of World War One had left their imprint on America, and the majority of people there just wanted to be left alone to focus on fostering prosperity in their country rather than be involved in any further politics in Europe.

Because they did not want the US to be drawn into another conflict the way they (perceived) it had been into World War I, many Americans in the 1930s backed an isolationist stance.

Because when he first became office, he felt at ease reaching out to the globe in a variety of ways. However, after realizing that his neighbors did not get along, he decided it would not be best for the US to become involved.

Therefore,

The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.

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The standard deviation of the sampling distribution of the average (sample mean) score for the 36 students = 1

What is standard deviation?

The standard deviation of the sampling distribution of mean is given by :- σₓ = σ/√n, where  = population standard deviation and n= sample size.

According to the given question:

The scores of individual students on the American college testing program composite college entrance examination have a normal distribution with mean 18.0 and standard deviation 6.0. at kent roosevelt high.

i.e. μ = 18.0, σ = 6.0

Sample size : n= 36

Then, the standard deviation of the sampling distribution of the average (sample mean) score for the 36 students will be :-

σₓ = 6/√36 = 1

Hence, The standard deviation of the sampling distribution of the average (sample mean) score for the 36 students = 1

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Answer:

The steps are :

\(a = bx - c\)

\(a + c = bx\)

\( \frac{a + c}{b} = x\)

\(x = \frac{a + c}{b} \)

Answer:

Hey there!

To make the variable, x the subject of the formula, we want to isolate x on one side.

a=bx-c

Add c on both sides

a+c=bx

Divide by b

(a+c)/b=x

So, we get x=(a+c)/b

Hope this helps :)

Answer:

Step-by-step explanation:

90% of the chess club!

✨Hope it helps✨

✨Brainliest?

Answer:

1.6 kilometers

Step-by-step explanation:

Umm... sorry...

I can't think of an explanation.

I memorized the answer (because I do track and field)

Well, feel free to tell me if I did anything wrong! :)

The town's population be in the year 2020 if it continues to grow at this rate will be 28,743.

First, we need to calculate the number of years between 2010 and 2020, which is 10 years.

Next, we need to calculate the population for each year from 2010 to 2020. We can do this using the formula:

population = initial population * (1 + growth rate)^number of years

For 2010, the initial population is 15,000, the growth rate is 6.5%, and the number of years is 0:

population in 2010 = 15,000 * (1 + 0.065)^0 = 15,000

For 2020, the number of years is 10:

population in 2020 = 15,000 * (1 + 0.065)^10 = 28,743

Therefore, the town's population in the year 2020 will be approximately 28,743.

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Answer:

Its B trustStep-by-step explanation

Step-by-step explanation:

Hello!

The perimeter is the sum of all sides of the figure. As we know, this is rectangular parking with a length equal to 69m. Look at the figure below:

As we know the definition of the perimeter, we can sum all sides, look:

Answer for A:

width of the parking lot = 58m.

We'll solve it in a similar way.

The area of a rectangle is obtained using the formula:

Replacing the values, we'll obtain:

Answer for B:

length of the pool = 78m.

The equivalent ratios of the given quantity of silver parts of paint to green which is 3:4 are: 6:8 and 9:12.

Equivalent ratios can be described as ratios that have the same values when compared to each other. For example, 8/16, 4/8 and 1/2 re equivalent ratios because:

8/16 = 1/2

4/8 = 1/2

Therefore, 8:16 = 4:8 = 1:2.

Given the table that shows the ratio of the number of parts silver to number of parts green as 3 parts silver to 4 parts green, the ratio is: 3:4.

This means that for 3 parts of silver paint, we would require 4 parts of green paint to give the shade of paint that is needed.

Therefore:

6/8 = 3/4

9/12 = 3/4

6/8 = 9/12 = 3/4

This implies that 6:8, 9:12 and 3:4 are all equivalent ratios.

Therefore, the ratios that are equivalent to 3 parts silver paint to 4 parts green paint are: 6:8 and 9:12.

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The equivalent equation in standard form is \(Y = ax^2 - 2ahx + ah^2 + k\)

The formula \(Y=a(x-h)^2+ k\) is a quadratic function in vertex form, where (h,k) is the vertex of the parabola.

Now, to rewrite this formula in standard form, which is the form \(ax^2 + bx + c\), we can expand the square and simplify:

\(Y = a(x-h)^2 + k\\Y = a(x^2 - 2hx + h^2) + k\\Y = ax^2 - 2ahx + ah^2 + k\)

where a, b, and c are:

a = a

b = -2ah

c = \(ah^2\) + k

Therefore, the equivalent equation in standard form is:\(Y = ax^2 - 2ahx + ah^2 + k\)

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The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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Answer:

Hello,
an exponentail function

Step-by-step explanation:

Explanation of my comment

Step-by-step explanation:

\( {x }^{2} + 14 + 48 = 0 \\\)

(x+6)=0(or)(x+8)=0

x+6=0 ( or) x+8=0

x=-6 (or)x=-8

Answer:

a) 12 1/2 cm

b) 5 1/4 cm

Step-by-step explanation:

The piece of string is 24 cm long.

It is cut in three pieces.

Let the length of the first piece be x.

The second piece is twice as long as the first. This means that the length of the second piece is 2x.

The third is 1 cm shorter than the first. This means that the length of the third piece is x - 1

Therefore:

x + 2x + x - 1 = 24

4x - 1 = 24

4x = 25

x = 25 / 4 = 6 1/4cm

Therefore, the length of the second piece will be:

2 * 25/4 = 25/2 = 12 1/2 cm

The length of the third piece will be:

6 1/4 - 1 = 5 1/4 cm

The mean of the sampling distribution for the proportion of patients cured by this drug, with a sample size of n = 215 and an efficacy of 0.39, can be calculated using the formula:

mean = efficacy = 0.39



The efficacy of a drug refers to its ability to produce a desired effect, in this case, the proportion of patients cured by the drug. The value of 0.39 indicates that 39% of patients treated with this drug are cured.

A sampling distribution is the distribution of all possible sample means that could be obtained from a population. In this case, the sampling distribution is for the proportion of patients cured by the drug, with a sample size of n = 215.

The mean of this sampling distribution is simply the same as the efficacy of the drug, which is 0.39. This is because the efficacy represents the true proportion of patients cured by the drug in the population, and the sample mean is expected to be a good estimate of this value as the sample size increases. Therefore, the mean of the sampling distribution is equal to the efficacy of the drug.

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The measure of angle of elevation is the angle between the horizontal line of sight and the line of sight to an object above the horizon.

The measure of angle of elevation is the angle between the horizontal line of sight and the line of sight to an object above the horizon. To calculate the angle of elevation, first draw a horizontal line and draw a line from the observer’s eye level to the object. Then draw a line from the object to the same point on the horizontal line. The angle formed by the lines is the angle of elevation. Use a protractor to measure the angle and record the measurement. To calculate the angle of depression, draw a line from the object to the observer’s eye level and draw a line from the same point to the horizontal line. The angle formed by the lines is the angle of depression. Use a protractor to measure the angle and record the measurement.

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Step 1

The measures of variance include;

Step 2

For a bar chart, we have that;

The results of the significance test suggest that there is no statistically significant change in the average consumption of sweet snacks among healthy weight children aged 12 to 19 years.

The previous study reported an average consumption of 369.4 kcal/d, with a standard deviation of 10.2 kcal/d. The current study reported an average consumption of 375.2 kcal/d, with a standard deviation of 10.2 kcal/d.

To perform a significance test, we can use the z-score formula:

z = (observed value - mean) / standard deviation

In this case, the observed value is 375.2 kcal/d, the mean is 369.4 kcal/d, and the standard deviation is 10.2 kcal/d. This gives us a z-score of 0.56.

The p-value for a z-score of 0.56 is 0.5696. This means that there is a 56.96% chance of getting a z-score of 0.56 or greater if the null hypothesis is true.

Since the p-value is greater than the significance level of 0.05, we cannot reject the null hypothesis. This means that there is not enough evidence to conclude that there has been a statistically significant change in the average consumption of sweet snacks.

In other words, the results of the current study are consistent with the results of the previous study. There is no evidence to suggest that the average consumption of sweet snacks has changed in the past four years.

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Answer:

  27

Step-by-step explanation:

Numbers can be converted to base 10 by writing them in expanded form.

__

102₅ = 1×5² +0×5 +2×1

  = 25 +2

  = 27₁₀

When the side length of the square is 9, the rate of change of the area with respect to the side length is 18 square units per unit of length.

To find the rate of change of the area of a square with respect to its side length when s = 9, we need to determine the derivative of the area function A(s) = \(s^2\) with respect to s.

Using the power rule of differentiation, we differentiate A(s) = s^2 as follows:

dA/ds = 2s

This derivative represents the rate of change of the area with respect to the side length. To find the rate of change at s = 9, we substitute s = 9 into the derivative:

dA/ds (at s = 9) = 2(9) = 18

Therefore, when the side length of the square is 9, the rate of change of the area with respect to the side length is 18 square units per unit of length. This means that for every increase of 1 unit in the side length, the area of the square increases by 18 square units.

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Answer:

F ( -1,4)

E (-1,2)

G (-4,5)

Step-by-step explanation:

Answer:

on what

.....................

To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.

Starting with sec²θ(1 - cos²θ):

Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:

(1 + tan²θ)(1 - cos²θ)

= 1 - cos²θ + tan²θ - cos²θtan²θ

= 1 - cos²θ(1 - tan²θ)

= sin²θ

Thus, the equation simplifies to sin²θ, which is a trigonometric identity.

For cosx(secx - cosx) = sin²x:

Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:

cosx(1/cosx - cosx)

= cosx/cosx - cos²x

= 1 - cos²x

= sin²x

Hence, the equation simplifies to sin²x, which is a trigonometric identity.

Considering cosθ + sinθtanθ = secθ:

Dividing both sides of the equation by cosθ, we obtain:

1 + sinθ/cosθ = 1/cosθ

Using the identity tanθ = sinθ/cosθ, the equation becomes:

1 + tanθ = secθ

This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.

Simplifying (1 - cos∝)(cosec∝ + cot∝):

Expanding the expression, we have:

cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝

= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝

= cot∝(1 - cos∝) + cosec∝(1 - cos∝)

= cot∝tan∝ + cosec∝sec∝

= 1 + 1

= 2

Thus, the equation simplifies to 2, which is a constant value.

In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.

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Answer:

A. y = 3x + 1

Explanation:

Find slope:

\(\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)

Take two points: (0, 1), (1, 4)

\(\sf \rightarrow slope \ (m) : \dfrac{4-1}{1- 0 } = 3\)

Equation:

\(\sf y - y_1 = m(x - x_1)\)

\(\sf y - 1 = 3(x - 0)\)

\(\sf y = 3x + 1\)