if the product of two consecutive even number is 224 find the number​

f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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ab +c= d

To solve for b;

First subtract c from both-side of the equation

ab + c - c = d-c

ab = d-c

Then divide both-side of the equation by a

1. Option B. A correlation exists between two variables when higher values of one variable consistently go with higher or lower values of another variable

2. Option C. Amount of smoking and lung cancer, height and weight of people, price of a good and demand of the good

Examples of pairs of variables that are correlated:

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Answer:

40 m/s

Step-by-step explanation:

144 X (5/18) = 8X5 = 40

Personal experience generates firsthand knowledge that is derived from an individual's direct involvement or observation of a particular event, situation, or phenomenon. This type of sample is unique to each person and provides a subjective understanding of the subject matter.

Personal experience is an essential source of learning and understanding as it allows individuals to gain insight, develop skills, and form opinions based on their own encounters. It can provide a deep understanding of emotions, perspectives, and nuances that cannot be fully grasped through secondhand information. Personal experiences are often considered valuable as they offer authenticity and a sense of relatability, enabling individuals to connect with others on a personal level. Additionally, personal experiences can serve as a foundation for personal growth and development, shaping one's beliefs, values, and decision-making processes.

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Answer:

576 FT^3

243 m^3

95 cm^3

400 cm^3

150 m^3

Step-by-step explanation:

Volume of a pyramid = 1/3 x ( length base x height)

Volume of a prism= ( length base x height)

1. prism = 192 x 3 = 576 FT^3

2. prism = 729 / 3 = 243 ft^3

volume of a cylinder = nr^2h

Volume of a cone =  1/3(nr^2h)

3. cone = 285/3 = 95

5. cylinder = 50 x 3 = 150

4. sphere = 600 / 1.5 = 400

Answer: 626

Step-by-step explanation:

Answer:

The answer would be 6

Step-by-step explanation:

Answer:

3 cups = 709.77 milliliters

Step-by-step explanation:

Cup : milliliters

1 cup : 236.59 milliliters

3 cups : x milliliters

Equate both ratios

1 / 236.59 = 3 / x

Cross product

1 * x = 236.59 * 3

x = 709.77 milliliters

Therefore,

3 cups = 709.77 milliliters to the nearest hundredth

Answer:

26.25 = 7.50 + 6.25x

Step-by-step explanation:

Answer:

Can You Make the Question Clear Please!?

Answer:

C. 8x - 6

Step-by-step explanation:

The required, approximate volume of the sphere is 113.04 cubic inches.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.

If the radius of the sphere is 3 inches, we can substitute this value into the formula and use 3.14 to approximate π,

V = (4/3) x 3.14 x 3³

V = (4/3) x 3.14 x 27

V = 113.04 cubic inches

Therefore, the approximate volume of the sphere is 113.04 cubic inches.

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The sampling technique used by the researcher in this scenario is known as "snowball sampling".

Snowball sampling is a non-probability sampling technique that is used when the desired sample characteristic is rare or difficult to find. In this technique, the researcher starts with a small group of initial participants (in this case, the twenty people who filled out the survey) and then ask those participants to recruit additional participants who meet the same criteria (in this case, five other people of the same sex, age, and weight range).

This process continues until the desired sample size is reached (in this case, 120 surveys). Snowball sampling is often used in social science research and can be a useful way to reach populations that are difficult to access through other sampling methods.

However, it is important to note that snowball sampling does not produce a representative sample, and therefore the results cannot be generalized to the larger population.

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Answer:

-1/3

step-by-step explanation:

-21=-39k+-24

39k = -24 + 21

39k = -3 (divide each side by 39)

k = -1/3

Answer:

There are \(5\) five dollar bills and \(4\) ten dollar bills.

Step-by-step explanation:

Given:

Selling price of bicycle \(=\$65\).

The friend gave \(x\) five dollar bills and \(y\) ten dollar bills.

Total number of bills \(=9\).

To find: Number of five dollar bills and ten dollar bills the friend gave.

Solution:

The friend gave \(x\) five dollar bills and \(y\) ten dollar bills and the friend gave \(9\)bills in all.

So, \(x+y=9\).

\(\Rightarrow x=9-y ...(i)\)

Selling price of bicycle \(=\$65\).

So, \(5x+10y=65...(ii)\)

Putting the value of \(x\) from equation \((i)\) in equation \((ii)\).

\(\Rightarrow 5(9-y)+10y=65\)

\(\Rightarrow 45-5y+10y=65\)

\(\Rightarrow 45+5y=65\)

\(\Rightarrow 5y=65-45\)

\(\Rightarrow 5y=20\)

\(\Rightarrow y=\frac{20}{5}\)

\(\Rightarrow y=4\)

Now, putting the value of \(y\) in equation \((i)\).

\(\Rightarrow x=9-4\)

\(\Rightarrow x=5\)

Hence, there are \(5\) five dollar bills and \(4\) ten dollar bills.

Answer:

Graph D is the correct answer.

Answer:

a. If a polygon is a rectangle, then it is a square

False

b. If a polygon has four 90 degree angles, then it is a rectangle

True

c. If the formula for a shape's area is base time height, it is a rectangle

False

The reason or incentive to save money that resonate the most is financial freedom.

Financial freedom is, in my opinion, the main motivation or purpose to save. This is the capacity to be able to live off the passive income being produced by the money that you saved, rather than having to rely on a full-time employment in order to survive.

You may live off the interest that is being earned on your investments if you save enough money and invest it wisely. This frees up your time so that you can pursue fulfilling hobbies or even travel rather than having to work a full-time job. I consider that to be actual freedom, and it inspires me to preserve it.

In conclusion, the reason or incentive to save money that resonate the most is financial freedom.

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Answer:1096.6332

Step-by-step explanation:

Answer: Use

1096.6332

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b

a. The area of each sector is 1.7 cm^2
b. If the weight of the silver disk is 2.3 grams, the silver wedge for each earring weighs approximately 319.4 milligrams.

Answer:
a. To find the area of each sector, we need to use the formula for the area of a sector: A = (θ/360°) * π * r^2, where θ is the central angle of the sector and r is the radius of the disk.

Given that the central angle is 50° and the radius is 2 cm, we can substitute these values into the formula:
A = (50°/360°) * π * (2 cm)^2

Simplifying the calculation:
A = (5/36) * π * 4 cm^2
A ≈ 1.7 cm^2

Therefore, the area of each sector is approximately 1.7 cm^2.

b. To find the weight of the silver wedge for each earring, we need to calculate the weight per unit area.

Given that the weight of the silver disk is 2.3 grams and the area of each sector is 0.694 cm^2, we can use the formula:
Weight per unit area = Total weight / Total area

Substituting the given values:
Weight per unit area = 2.3 grams / (2 * 0.694 cm^2)

Simplifying the calculation:
Weight per unit area ≈ 0.3194 grams/cm^2

To convert grams to milligrams, we can use the conversion factor 1 gram = 1000 milligrams. Therefore, the weight per unit area in milligrams is:
Weight per unit area ≈ 0.3194 grams/cm^2 * 1000 milligrams/gram

Simplifying the calculation:
Weight per unit area ≈ 319.4 milligrams/cm^2

Therefore, the silver wedge for each earring weighs approximately 319.4 milligrams.

Complete Question:

A jeweler makes a pair of earrings by cutting two 50° sectors from a silver disk. radius of the disk is 2 cm

a. Find the area of each sector.

b. If the weight of the silver disk is 2.3 grams, how many milligrams does the silver wedge for each earring weigh?

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The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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The HDD for the month of January in State College, PA is 930.

To calculate the HDD (Heating Degree Days) for the month of January in State College, PA, we need to subtract the average daily temperature from 65 degrees Fahrenheit, which is considered the standard temperature for indoor heating.

HDD = 65°F - 35°F
HDD = 30°F

Therefore, the HDD for the month of January in State College, PA is 30 degrees Fahrenheit.
Hi! To calculate the Heating Degree Days (HDD) for the month of January in State College, PA with an average outside temperature of 35 degrees F, follow these steps:

1. Determine the base temperature: In the US, the base temperature is commonly 65 degrees F.
2. Subtract the average temperature from the base temperature: 65 - 35 = 30 degrees.
3. Multiply the difference by the number of days in the month: January has 31 days, so 30 * 31 = 930.

So, the HDD for the month of January in State College, PA is 930.

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To calculate the HDD for the month of January in State College, PA, we need to first determine the base temperature. The base temperature is the temperature below which a building needs to be heated in order to maintain a comfortable indoor temperature. In this case, we will use a base temperature of 65 degrees F.

To calculate the HDD, we need to subtract the average daily temperature from the base temperature and sum up the values for each day of the month. If we assume that January has 31 days, we can calculate the HDD as follows:

HDD = (65 - 35) x 31
HDD = 930

So the HDD for the month of January in State College, PA is 930. This means that during the month of January, there were 930 heating degree days, which indicates the amount of heating required to maintain a comfortable indoor temperature. It is important to note that the HDD can vary depending on the base temperature used, so it is important to choose a base temperature that is appropriate for the climate and the building being heated.

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Step-by-step explanation:

there is Q yiur welcome hope that helps :)

Answer:

m ∠Q = 90°

m ∠ R = 37°

m ∠ S = 53°

Step-by-step explanation:

Given the right ΔRQS, where:

m ∠ Q = 90°

m ∠ R = (5x - 13)°

m ∠ S = (3x + 23)°

Since the sum of all the angles of a triangle add up to 180°, we can set up the following equation to find the value of x and the measures of each angle:

m ∠ Q + m ∠ R + m ∠ S = 180°

90° + (5x - 13)° + (3x + 23)° = 180°

90° + 5x° - 13° + 3x° + 23° = 180°

Combine like terms:

100° + 8x = 180°

Subtract 100° from both sides:

100° - 100° + 8x = 180° - 100°

8x° = 80°

Divide both sides by 8:

\(\frac{8x}{8} = \frac{80}{8}\)

x = 10°

Substitute the value of x to find the measure of each angle:

m ∠ Q = 90°

m ∠ R = (5x - 13)° = 5(10) - 13 = 37°

m ∠ S = (3x + 23)° = 3(10) + 23 = 53°

The given problem is a 0-1 integer programming problem, which involves finding the maximum value of a linear objective function subject to a set of linear constraints, with the additional requirement that the decision variables must take binary values (0 or 1).

To solve this problem by implicit enumeration, we systematically evaluate all possible combinations of values for the decision variables and check if they satisfy the constraints. The objective function is then evaluated for each feasible solution, and the maximum value is determined.

In this case, there are three decision variables: x1, x2, and x3. Each variable can take a value of either 0 or 1. We need to evaluate the objective function 2x1 - x2 - x3 for each feasible solution that satisfies the given constraints.

By systematically evaluating all possible combinations, checking the feasibility of each solution, and calculating the objective function, we can determine the solution that maximizes the objective function value.

The explanation of the solution process, including the enumeration of feasible solutions and the calculation of the objective function, can be done using a table or a step-by-step analysis of each combination.

This process would involve substituting the values of the decision variables into the constraints and evaluating the objective function. The maximum value obtained from the feasible solutions will be the optimal solution to the problem.

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The required difference of the polynomial functions is -9s^2 + 4s - 2

Given the following difference of polynomial expressed as:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

We are to find the difference

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

Expand

–6s^2 + 12s – 8 - 3s^2 - 8s + 6

Collect the like terms

–6s^2- 3s^2 + 12s - 8s - 8 + 6

-9s^2 + 4s - 2

Hence the required difference of the polynomial functions is -9s^2 + 4s - 2

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complete question

Find each difference.

(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

–9s2 + 4s – 14

–9s2 + 4s – 2

–9s2 + 20s – 14

–9s2 + 20s – 2

While h(x) and f(x) = cos(x) have some differences in their graphs, they share important similarities such as periodicity and amplitude.

Based on the provided picture, h(x) is the function in blue while f(x) = cos(x) is the function in red.
To compare h(x) to the parent function f(x) = cos(x), we need to analyze their similarities and differences.
First, we can observe that both functions are periodic with a period of 2π. This means that the graphs of h(x) and f(x) repeat themselves every 2π units.
Second, both functions have an amplitude of 1. This means that the maximum distance between the graphs and the x-axis is 1 unit.
Third, we can observe that the graph of h(x) is a translation of the graph of f(x) = cos(x). Specifically, the graph of h(x) is shifted 1 unit to the right and 1 unit up compared to the graph of f(x).

Therefore, the following statements are true:
- Both h(x) and f(x) = cos(x) are periodic with a period of 2π.
- Both h(x) and f(x) = cos(x) have an amplitude of 1.
- The graph of h(x) is a translation of the graph of f(x) = cos(x) by 1 unit to the right and 1 unit up.
In summary, while h(x) and f(x) = cos(x) have some differences in their graphs, they share important similarities such as periodicity and amplitude.

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Answer: See below

Step-by-step explanation:

For part a, we are given that the triangle is an isosceles triangle. That means the two sides that are marked are equal to each other. We set DE and EF equal to each other to find x.

5x-3=3x+7                [subtract both sides by 3x]

2x-3=7                      [add both sides by 3]

2x=10                        [divide both sides by 2]

x=5

We now know the value of x is 5.

For part b, all we have to do is plug in x=5 to find the length of each leg.

5(5)-3                       [multiply]

25-3                         [subtract]

DE=22 in

3(5)+7                      [multiply]

15+7                         [add]

EF=22 in

Now, we have the length of each leg. DE=22 in, EF=22 in

For part c, we do the same as above and plug in x=5 to find the length of the base.

6(5)-3                       [multiply]

30-3                         [subtract]

DF=27 in

Now, we have the length of the base. DF=27 in