Please help. Posting question below will mark brainiest and 25 points!!!!!!

Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides

a) Finding the Extreme Values of V(x):

To find the extreme values of V(x), we need to determine where the function reaches its maximum and minimum points. These points are found by analyzing the critical points and endpoints of the function.

Critical Points:

The critical points of a function occur where its derivative is either zero or undefined. Let's begin by finding the derivative of V(x) with respect to x.

V(x) = x(10-2x)(16-2x)

To find the derivative, we can use the product rule:

V'(x) = (10-2x)(16-2x) + x(-2)(16-2x) + x(10-2x)(-2)

Simplifying, we have:

V'(x) = (10-2x)(16-2x) - 2x(16-2x) - 2x(10-2x)

V'(x) = (10-2x)(16-2x) - 2x(16-2x + 10-2x)

V'(x) = (10-2x)(16-2x) - 2x(26-4x)

Expanding further:

V'(x) = 160 - 32x - 32x + 4x² - 52x + 8x²

V'(x) = 12x² - 116x + 160

To find the critical points, we set V'(x) equal to zero and solve for x:

12x² - 116x + 160 = 0

We can factor this quadratic equation:

4(3x² - 29x + 40) = 0

Now, solve for x using the zero-product property:

3x² - 29x + 40 = 0

Using factoring or the quadratic formula, we find the solutions:

x = 8/3 or x = 5

Therefore, the critical points of V(x) occur at x = 8/3 and x = 5.

Endpoints:

Next, we need to consider the endpoints of the function. In this case, the function V(x) is defined for x values between 0 and 8. So, we need to evaluate V(x) at these endpoints:

V(0) = 0(10-2(0))(16-2(0)) = 0

V(8) = 8(10-2(8))(16-2(8)) = 0

Therefore, the endpoints of the function do not yield any extreme values.

b) Interpretation of Extreme Values in Terms of Box Volume:

The function V(x) represents the volume of a box with length x, width (10-2x), and height (16-2x). Now, let's interpret the extreme values we found in part (a) in terms of the volume of the box.

At x = 8/3, which is approximately 2.67, and x = 5, the function V(x) reaches its extreme values. To determine whether these values represent a maximum or minimum, we can apply the second derivative test.

Taking the derivative of V'(x) that we found earlier:

V''(x) = d²V/dx² = 24x - 116

For x = 8/3, we have:

V''(8/3) = 24(8/3) - 116 = -52 < 0

This indicates that x = 8/3 corresponds to a local maximum of the volume function.

For x = 5, we have:

V''(5) = 24(5) - 116 = 4 > 0

This indicates that x = 5 corresponds to a local minimum of the volume function.

Therefore, the extreme values of V(x) occur at x = 8/3 and x = 5, where x = 8/3 represents a local maximum and x = 5 represents a local minimum.

Interpretation:

The local maximum at x = 8/3 implies that when the length of the box is approximately 2.67 units, the volume of the box is at its highest possible value within the given constraints. Similarly, the local minimum at x = 5 indicates that when the length of the box is 5 units, the volume is at its lowest possible value within the given constraints.

It's important to note that we should also consider the endpoints of the interval [0, 8] to ensure there are no global maximum or minimum values. However, in this case, the function V(x) does not attain any extreme values at the endpoints.

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Answer:

\(r = 5\)

Step-by-step explanation:

\(r^3 = 125 \text{ // Take the 3rd sqrt of both sides}\\\to \sqrt[3]{r^3} = \sqrt[3]{125}\\\to r = 5\)

Answer:

Brainleast Answer

Step-by-step explanation:

r=5

hopebit helps

Answer:

3

Step-by-step explanation:

A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3

Answer:

3x² + 3y² = 42

3 ( x² + y² ) = 42

x² + y² = 14

xy = -15 ( given )

(x-y)² = x² + y² - xy

14 - ( -15 )

14 + 15

29

Answer:

third option

Step-by-step explanation:

A graph representing direct variation must pass through the origin.

The graph through (- 4, 3) and (4, 3) is a horizontal line and does not go through the origin.

Thus the line does not represent a direct variation because it does not go through the origin.

It will take approximately 3.33 hours for both persons working together to complete the job.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet.

To solve this problem, we can use the following formula:

1 / T = 1 / t1 + 1 / t2

Where T is the time it takes for both persons working together to complete the job, t1 is the time it takes for the first person to complete the job alone, and t2 is the time it takes for the second person to complete the job alone.

Plugging in the given values, we get:

1 / T = 1 / 5 + 1 / 10

Simplifying the right side, we get:

1 / T = 3 / 10

Multiplying both sides by 10T, we get:

10 = 3T

Dividing both sides by 3, we get:

T = 10 / 3 = 3.33 hours

Therefore, it will take approximately 3.33 hours for both persons working together to complete the job.

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Answer:

h ( -6 ) = -13228

Step-by-step explanation:

h ( x ) = -10x^(4) - 9x^(2) - 8x + 8

evaluate when, x = -6

Substitute in -6, for x,

-10(-6)^(4) - 9(-6)^(2) - 8(-6) + 8

= -10(1296) -9(36) -8(-6) + 8

= -12960 - 324 + 48 + 8

= -13284 + 56

= - 13228

The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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Answer:

Perimeter = 64m

Step-by-step explanation:

I can only help for Perimeter.

12+20+12+8+8+4=64m

We operate as follows:

**First problem:

*We divide the total number of messes by the value of the sum of the ratio.

391 / (14 + 9) = 17

After that, we multiply this value times the ration for the Gooey messes and we will obtain the number of Gooey messes present in the 391 messes:

17 * 14 = 238

So, we can expect 238 Gooey messes.

**Second problem:

*We have 174 purple yogi berries; we will have to calculate the number of berries that represent the 76% if we want to know how many are not purple. We also have the following ration 24:76 here there are 24 purple yogi berries to 76, not purple yogi berries, now we calculate:

So, we would expect 551, not purple yogi berries.

The correct option is d) mathematical

What is a technical system model?

A mathematical model is a set of equations or algorithms that represent technical aspects of a system. These equations or algorithms are used to predict or simulate system behavior and performance. Mathematical models are often used in engineering, science, economics, and other fields where complex systems need to be analyzed and optimized. For example, a mathematical model could be used to analyze how a communication network would perform with different levels of traffic or to predict how a chemical reaction would proceed under various conditions. Mathematical models are often represented graphically to provide a clear visualization of the complex relationships between variables within a system. Overall, mathematical models are an essential tool for designing, optimizing, and managing complex systems.

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the answer is x>3

this is the answer becuase x-3 cannot be 0 because tou cant divide by zero and it cant be negative because it is in the square root notation which cant be negative without the use of inaginary numbers

Answer: The slope is -0.7, the rise is -1.4, and the run is 2

Stem and leaf diagrams can be used to analyze the shape of the data, determine how dispersed the data are, and observe individual data points.

The options given to us are:

1. Determine how dispresed the data are

2. Observe individual data points

3. Analyze the shape of the data

4. Analyze quantitative data

A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

A stem and leaf plot is shown as a customised table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf. The stem and leaf plot key is the symbol " | " that is used to display the stem and leaf values.

This, here, the right options are:

Option #1: Determine how dispresed the data are

Option #2: Observe individual data points

Option #3: Analyze the shape of the data

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Stem and leaf diagrams can be used to analyze the shape of the data, determine how dispersed the data are and observe individual data points.

The options given to us are:

1. Determine how dispersed the data are

2. Observe individual data points

3. Analyze the shape of the data

4. Analyze quantitative data

A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

A stem and leaf plot is shown as a customised table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf. The stem and leaf plot key is the symbol " | " that is used to display the stem and leaf values.

This, here, the right options are:

Option #1: Determine how dispresed the data are

Option #2: Observe individual data points

Option #3: Analyze the shape of the data

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The dimensions of a rectangle with the largest area that can be drawn inside a circle with a radius of 5 are L = 5.77 and W = 8.16.

The diameter of the circle is twice the radius, so it is 2 × 5 = 10.

Let's assume that the length of the rectangle is L and the width is W.

Since the diagonal of the rectangle is equal to 10, we can use the Pythagorean theorem to express the relationship between the length, width, and diagonal

L² + W² = 10²

L² + W² = 100

To find the dimensions that maximize the area of the rectangle, we need to maximize the product L × W. One way to do this is to find the maximum value for L² × W².

W² = 100 - L²

Substituting this into the area formula, A = L × W, we have

A = L × (100 - L²)

To find the maximum area, we can take the derivative of A concerning L, set it equal to zero, and solve for L

dA/dL = 100 - 3L² = 0

3L² = 100

L² = 100/3

L = √(100/3)

Substituting this value of L back into the equation for W^2, we have

W² = 100 - (100/3)

W² = 200/3

W = √(200/3)

Therefore, the dimensions of the rectangle with the largest area that can be inscribed inside a circle with a radius of 5 are approximately L = 5.77 and W = 8.16.

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Answer:

2 (teal)

Step-by-step explanation:

this definition would be surface area not volume. volume is what could fit inside.

a.) The concentration of the drug after 1 hour is 2580 units (rounded to two decimal places). b.) approximately 7.8 minutes. c.) The end behavior of the function is C → [infinity] as t → [infinity]. In other words, the concentration of the drug in the patient's bloodstream will increase indefinitely as time goes on.

A. The concentration of the drug in the patient's bloodstream after 1 hour can be found by substituting t = 1 into the given equation. Thus, C = 45(57 + 1²) = 2580.

B. To determine how long the drug stays in the patient's bloodstream, we need to find the time at which the concentration of the drug is 0.7% of the initial concentration. Setting C = 0.007(45(57 + 1²)) = 0.1881, we get the equation 45(57 + t²) = 0.1881. Simplifying and solving for t, we obtain t = ±sqrt(0.1881/45 - 57) ≈ ±0.13. Since we are only interested in the positive solution, the drug stays in the patient's bloodstream for about 0.13 hours or approximately 7.8 minutes (rounded to two decimal places).

C. The end behavior of the function can be determined by looking at the leading term of the equation, which is 45t². As t approaches infinity, the value of the function will also approach infinity because the square of any positive number will always be positive. Therefore, the end behavior of the function is C → [infinity] as t → [infinity]. In other words, the concentration of the drug in the patient's bloodstream will increase indefinitely as time goes on.

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Answer:

167.2 m/sec

Step-by-step explanation:

Convert 602 km/hr to m/sec, as follows:

602 km       1000 m

------------ * ----------------- = 602,000 m/hr

    hr               1 km

Recall that 1 hr = 3600 sec.  Convert 602,000 m/hr to m/sec:

602,000 m          1 hr

------------------ * ---------------- = 167.2 m/sec

     1 hr              3600 sec

Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.

In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:

Vertical objects in a classroom:

1. Door                     6. Clock

2. Cabinet               7. Electrical outlets

3. Bookshelf            8. Light switches

4. Whiteboard         9. Window blinds

5. Flagpole             10. Bulletin board

Horizontal objects in a classroom:

1. Desks                  6. Keyboard trays

2. Chairs                 7. Carpet tiles

3. Tables                 8. Ceiling tiles

4. Countertops       9. Whiteboard markers

5. Shelves              10. Paper trays

These are just a few examples of vertical and horizontal objects that can be found in a classroom.

It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.

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An expression represents the product of 3 and ((5/4)n+1.8) is 3.75n + 5.4

The correct answer is an option (D)

Consider the expression  ((5/4)n + 1.8)

First we write the fraction 5/4 in the decimal form.

5/4 = 1.25

So, the expression ((5/4)n + 1.8) becomes,

((5/4)n + 1.8)

=   (1.25 n + 1.8)                         ..........(1)

Now consider the product of 3 and ((5/4)n + 1.8)

3 ×  ((5/4)n + 1.8)

= 3 × ((1.25)n + 1.8)                          ............(from statement (1))

= (3 × (1.25 n)) + (3 × 1.8)

= (3 × 1.25)n + 5.4

= 3.75n + 5.4

Thus, 3 ×  ((5/4)n + 1.8) = 3.75n + 5.4

The correct answer is an option (D)

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Which expression represents the product of 3 and (5/4n + 1.8)? (SHOW WORK PLEASE)

A) 5.55n

B) 9.15n

C) 3.75n + 1.8

D) 3.75n + 5.4

Answer$12.73

Step-by-step explanation:

$63.65/5(children) = $12.73

Answer:

$12.73

Step-by-step explanation:

$63.65/5=$12.73

Answer:

y = 8x + 3

Step-by-step explanation:

here, m is the slope and b is the y-intercept.

      m = 8 and b = 3

          y = 8x + 3

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco

Answer:

true

Step-by-step explanation:

Answer:

In domain: -2.

Not in domain: 2, 4.

Step-by-step explanation:

The domain of a square root function is all real numbers such that the expression under the square root is greater than or equal to 0.

So, set the expression under the square root greater than or equal to 0 and solve for x:

\(-2x\geq 0\\\)

Divide both sides by -2. When dividing by a negative, we flip the sign:

\(x\leq 0\)

So, the domain of the function is all real numbers such that x is greater than of less than 0.

-2 is less than 0. So, it is in the domain.

2 is not less than 0. So, it is not in the domain.

4 is not less than 0. So, it is also not in the domain.

Answer:

g + 12

Step-by-step explanation:

5g+20 - 4g -8 =

= g + 12

Answer:

Expand & simplify

5

(

G

+

4

)

_

4

(

G

+

2

)

Answer: $911.60

Step-by-step explanation: 860 time 6% is 911.60

Phenobarbital is a barbiturate that is used in the treatment of epilepsy, insomnia, and other conditions. It has a side effect of increasing the size of the liver.

When phenobarbital is discontinued, the liver will usually return to its original size over time.How does the liver return to its original size after phenobarbital is removed?The liver is an essential organ in the human body, which is responsible for filtering out toxins and waste products from the bloodstream. When phenobarbital is used, it induces the production of enzymes in the liver

Which causes it to increase in size. However, when phenobarbital is discontinued, the liver will begin to return to its original size.The liver's return to its original size after phenobarbital is removed is due to a process called atrophy. Atrophy is the process by which cells or tissues shrink or become smaller. In the case of the liver, atrophy occurs when the liver cells.

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Answer:

4 hours

Step-by-step explanation:

In order to solve this problem, you need to write down the equation. The equation is 3 +8x=35. In this equation, x represents the number of hours. The coefficient is 8, and that represents the number of kilograms per hour. You subtract 3 from both sides to get 32. Next, we solve for x. Divide both sides by 8 to get x=4 hours.

Answer:

x=600

Step-by-step explanation:

Let x = number of tickets sold

Income = 5x + 1100

Costs = 1900 + 1600 + x = x + 3500

Break even when Income = Costs

5x + 1100 = 3500 + x

4x = 2400

x = 600

The statement "Most MIS's use sophisticated mathematical models or statistical techniques" is generally true.

Management Information Systems (MIS) play a crucial role in modern organizations by providing valuable insights into various aspects of the business.

These systems gather data from different sources and transform it into meaningful information for decision-making purposes.

To make sense of the collected data, MIS rely on sophisticated mathematical models and statistical techniques.

Mathematical models are used to represent real-world situations and relationships mathematically.

These models can range from simple equations to complex algorithms that simulate and predict business processes.

By using mathematical models, MIS can analyze data, identify patterns, and make predictions or projections.

Statistical techniques, on the other hand, provide methods for summarizing and analyzing data to extract meaningful information.

MIS employ statistical techniques such as regression analysis, hypothesis testing, data visualization, and forecasting to uncover insights and support decision-making.

By leveraging these sophisticated mathematical models and statistical techniques, MIS can handle large volumes of data, identify trends and patterns, perform predictive analysis, and provide valuable insights for effective decision-making in areas such as resource allocation, strategic planning, inventory management, and customer behavior analysis.

Therefore, it is safe to say that most MIS's utilize sophisticated mathematical models and statistical techniques to process and analyze data, enabling organizations to make informed decisions based on accurate and meaningful information.

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