A sequence is defined by the recursive function f(n + 1) =1/3 f(n). if f(3) 9= , what is f(1)

To graph sinusoidal functions, we need to consider the amplitude, period, key points, and transformations. Here's an example of each with the steps and a graph,

Graph y = 2sin(x)

Amplitude, The amplitude is the absolute value of the coefficient of the sine function, which is 2 in this case.

Period, The period of a sine function is given by 2π divided by the coefficient of x, which is 1 in this case.

Key Points: Identify key points by dividing the period into equal intervals and evaluating the function at those points.

Graph the function using the amplitude, period, and key points.

Example Graph, [Include a graph showing the sinusoidal curve with the appropriate amplitude, period, and key points.]

Graph y = 3cos(2x - π/4)

Amplitude, The amplitude is the absolute value of the coefficient of the cosine function, which is 3 in this case.

Period, The period of a cosine function is given by 2π divided by the coefficient of x, which is 2 in this case.

Key Points, Identify key points by dividing the period into equal intervals and evaluating the function at those points. Take into account any phase shifts or vertical shifts.

Graph the function using the amplitude, period, and key points.

Example Graph, [Include a graph showing the sinusoidal curve with the appropriate amplitude, period, key points, and transformations.]

When graphing sinusoidal functions, the amplitude determines the vertical stretching or compressing of the graph. The period determines the horizontal stretching or compressing of the graph. The key points help in plotting the shape of the graph and include the maximum and minimum points, as well as the x-intercepts. Transformations such as phase shifts and vertical shifts can further modify the graph.

By understanding the concepts of amplitude, period, key points, and transformations, we can accurately sketch the graph of a sinusoidal function. Identifying these characteristics and applying the appropriate transformations allows us to visualize the behavior of the function and analyze its properties.

Exploring the concepts of amplitude, period, key points, and transformations in depth will provide a solid foundation for understanding trigonometric functions, waveforms, and periodic phenomena. Practicing graphing different examples will enhance your skills in representing and interpreting sinusoidal functions in various contexts.

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1. The variable is qualitative or quantitative is the variable is qualitative because it is an attribute characteristic (option d). 2. The quantitative variable is discrete or continuous is the variable is discrete because it is countable (option d).

The variable "Hair color" is qualitative because it represents an attribute characteristic rather than a numerical measure. It refers to the different categories or qualities of hair color, such as blonde, brown, black, or red. It is not based on a numerical scale or measurement. Therefore, the correct answer is D) The variable is qualitative because it is an attribute characteristic.

The variable "Number of members present at a meeting" is discrete because it is countable and takes on distinct, separate values. It cannot take on any value between the integers, and there are no fractions or decimals involved. The number of members present can only be whole numbers, such as 0, 1, 2, 3, and so on. Therefore, the correct answer is D) The variable is discrete because it is countable.

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

SSS (Side-Side-Side): If three pairs of sides of two triangles are equal in length, then the triangles are congruent. ASA (Angle-Side-Angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent.

Step-by-step explanation:

Have a Nice Day!

Answer:

c

Step-by-step explanation:

i know

Answer:

The data set has a range of 8 instruments

Step-by-step explanation:

Answer:

i show the answer in picture

Answer: C

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The answer is B.

When the sign is < or >, this means that the line is dashed, as it does not include those points as part of the solution. When the sign is \(\leq\) or \(\geq\), the line is solid, since the points on it are part of the solution.

Knowing this, we can eliminate A and D.

In order to find out if the shaded part is above or below, you must know that if the sign is less than (< or \(\leq\)), than the area underneath it will be shaded, and if the sign is greater than (> or \(\geq\)), that the area above it will be shaded.

So, this leaves us with B as the only answer choice, since the line is dashed and must be below the line.

Let's begin by listing out the given information:

Number of students (n) = 20

Amount (a) = $298

The equation that can be used to find the amount of money that each student must raise (m) is given below:

Hence, option D is the correct answer

Answer:

The Internet started in the 1960s as a way for government researchers to share information. ... This eventually led to the formation of the ARPANET (Advanced Research Projects Agency Network), the network that ultimately evolved into what we now know as the Internet.

There are **16,640** valid passwords. There are two cases to consider: passwords that are 5 characters long, and passwords that are 6 characters long.

**Case 1: 5-character passwords**

There are 26 choices for each of the first 3 characters, since they can be lowercase letters or digits. There are 10 choices for the fourth character, since it must be a digit. The fifth character must be different from the first three characters, so there are 25 choices for it.

Therefore, there are $26 \times 26 \times 26 \times 10 \times 25 = 16,640$ 5-character passwords.

**Case 2: 6-character passwords**

There are 26 choices for each of the first 4 characters, since they can be lowercase letters or digits. The fifth character must be different from the first four characters, so there are 25 choices for it. The sixth character must also be different from the first four characters, so there are 24 choices for it.

Therefore, there are $26 \times 26 \times 26 \times 25 \times 24 = 358,800$ 6-character passwords.

Total

The total number of valid passwords is $16,640 + 358,800 = \boxed{375,440}$.

The first step is to determine how many choices there are for each character in a password. For the first three characters, there are 26 choices, since they can be lowercase letters or digits.

The fourth character must be a digit, so there are 10 choices for it. The fifth character must be different from the first three characters, so there are 25 choices for it.

The second step is to determine how many passwords there are for each case. For the 5-character passwords, there are 26 choices for each of the first 3 characters, and 10 choices for the fourth character,

and 25 choices for the fifth character. So, there are $26 \times 26 \times 26 \times 10 \times 25 = 16,640$ 5-character passwords.

For the 6-character passwords, there are 26 choices for each of the first 4 characters, and 25 choices for the fifth character, and 24 choices for the sixth character. So, there are $26 \times 26 \times 26 \times 25 \times 24 = 358,800$ 6-character passwords.

The third step is to add up the number of passwords for each case to get the total number of passwords. The total number of passwords is $16,640 + 358,800 = \boxed{375,440}$.

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Answer: i got no clue

Step-by-step explanation:

Amazon has a better price, their rate is more cheaper.

Amazon sells the slime as 15packs for $45.15

The price of one pack can be calculated as follows

15= 45.15

1= x

Cross multiply both sides

15x= 45.15 × 1

15x= 45.15

divide both sides by the coefficient of x which is 15

15x/15= 45.15/15

x= 3.01

one pack of slime at Amazon is $3.01

The girls sell 5 packs of slime for $20.35

The price of one pack can be calculated as follows

5= 20.35

1= y

cross multiply both sides

5y= 20.35

y= 20.35/5

y= 4.07

The girls sell 1 pack of slime for $4.07

Therefore the person with the best deal is Amazon because their price is much more cheaper

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Answer:

-2

Step-by-step explanation:

The output of the chart and graph drops by 2 for every input.

The appropriate domain and the range are x > 0 and y > 0, respectively and the speed is 2.5 miles per hour in order to travel 20 miles in 8 hours.

The function is given as:

xy = 20

The value of x and y cannot be negative and they cannot be 0.

This means that the domain and the range are x > 0 and y > 0, respectively

See attachment for the graph of xy = 20

We have:

Distance = 20 miles

Time = 8 hours

The speed is calculated as;

Speed = Distance/Time

This gives

Speed = 20/8

Evaluate

Speed = 2.5 miles per hour

Hence, the speed is 2.5 miles per hour in order to travel 20 miles in 8 hours.

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Answer:

2.5(x)/10 = 50/200

Step-by-step explanation:

hope that helps :)

So 50/200=0.25

therefore, x has to be divided by 10 and be equal to that number, so 2.5/10=0.25 but let's do it with steps

1) Simplify or combine like terms (in this case we need to simplify 50/200 which is 0.25)

2) To isolate x, do the opposite operation on BOTH SIDES.

x/10 ×10 cancels out the 10

x=0.25×10

x=2.5

Answer: 495 people

Step-by-step explanation:

As this involves the population in a future year, you can use the future value model for this:

= Population * ( 1 + rate of increase) ^ number of years

Number of years = 2020 - 2011

= 9 years

Rate of increase will be negative to show that it is a decrease.

= 567 * ( 1 - 1.5%) ⁹

= 494.9

= 495 people

Answer:

18p+6

Step-by-step explanation:

The marginal profit is a constant value of $27 per unit produced.

First, let's establish the revenue function. The revenue (R) is the product of the number of units sold (x) and the price per unit ($47). So, R(x) = 47x.

Next, let's find the profit function (P). Profit is the difference between revenue and cost: P(x) = R(x) - C(x). Plugging in the given functions, we get P(x) = (47x) - (160 + 20x + 6).

Now, to find the marginal profit P'(x), we need to take the derivative of the profit function with respect to x:

P'(x) = d/dx[(47x) - (160 + 20x + 6)]
P'(x) = 47 - 20

Therefore, the marginal profit P'(x) = 27. This means that, for each additional unit produced, the profit increases by $27.

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Answer:

Allocated MOH= $14,312

Step-by-step explanation:

Giving the following information:

Estimated overhead costs for the year are​ $25,500.

Totes Satchels:

Direct labor cost per unit ​$53 ​$61

Number of units 530 360

First, we need to calculate the allocation rate:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= 25,500 / (53*530 + 61*360)

Predetermined manufacturing overhead rate= 25,500/50,050

Predetermined manufacturing overhead rate= $0.5095 per direct labor dollar

Now, we can allocate overhead to Totes:

Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

Allocated MOH= 0.5095*(53*530)

Allocated MOH= $14,311.855

For this population at the time of the survey, each extra pound of weight is associated with an average increase in height, as evidenced by the correlation coefficient of 0.7 and the oval-shaped cloud of points in the scatterplot.

The health and nutrition survey provides some important information about the relationship between weight and height in a certain population.

The survey reveals that the average weight for this population is 175 pounds, with a standard deviation of 42 pounds, while the average height is 67 inches, with a standard deviation of 3 inches.

Furthermore, the correlation coefficient between weight and height is 0.7, indicating a positive and moderately strong linear relationship between these two variables.

The scatterplot of height on weight for this population is described as an oval-shaped cloud of points.

This suggests that the relationship between weight and height is not perfectly linear, but rather exhibits some degree of curvature.

This can be seen from the fact that the points on the scatterplot are not tightly clustered around a straight line, but rather form an elliptical shape.

Based on the information provided by the survey, we can estimate the average increase in height associated with each extra pound of weight in this population.

Specifically, we can use the slope of the regression line for height on weight to estimate this relationship.

The slope of the regression line is equal to the correlation coefficient multiplied by the standard deviation of height, divided by the standard deviation of weight.

Substituting the given values into this formula, we obtain a slope of approximately 0.9615.

Therefore, we can conclude that, for this population at the time of the survey, each extra pound of weight was associated with an average increase of 0.9615 inches in height, holding all other factors constant.

This relationship may have important implications for health and nutrition interventions aimed at promoting healthy weight and height in this population.

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For this population at the time of the survey, each extra pound of weight is associated with an average increase in height, as indicated by the positive correlation coefficient of 0.7. The scatterplot of height on weight forms an oval-shaped cloud of points, which suggests a strong relationship between the two variables.

For this population at the time of the survey, each extra pound of weight is associated with an average increase in height. The average weight is 175 pounds with a standard deviation of 42 pounds, and the average height is 67 inches with a standard deviation of 3 inches. The correlation coefficient of 0.7 indicates a positive relationship between weight and height. The oval-shaped cloud of points in the scatterplot of height on weight also supports this positive relationship.

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Answer:

- is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

7

Step-by-step explanation:

(-1^2)x 3 = 3

-1 x 4 = -4

3--4 = 7

Given:

the Slope-intercept form inequality,

To find:

to solve for y.

Explanation:

Consider the inequality,

Subract

from both of the sides, we get

let us simplify now,

We need to solve for y, so divive 4 on both the sides,

By, simplifying we get

FInal Answer:

The inequality solved for y is,

The length and width of a national flag are 710 feet and 450 feet.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given, a seed company planted a floral mosaic of a national flag.

The perimeter of the flag is 2,320 feet.

Let m be the length and n be the width of the flag.

And the flag is rectangular.

Then perimeter,

2(m+n) = 2320       equation 1

And according to the question,

m = n + 260      equation 2

Now we have a system of equations.

So substituting the value of m to the equation 1.

2(2n + 260) = 2320

4n + 520 = 2320

4n = 2320 - 520

4n = 1800

n = 450 feet

So, m = 450 + 260

m = 710 feet

Therefore, the length and the width are 710 feet and 450 feet.

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Answer:

a = 44 is correct

Step-by-step explanation:

a + 4 = 48

plug in the #'s 1 at a time

43 + 4 = 48

47 = 48  FALSE

51 + 4 = 48

55 = 48  FALSE

44 + 4 = 48  TRUE

52 + 4 = 48  FALSE

Hope this Helps!!!

Answer:

Your answer would be a= 44

Step-by-step explanation:

44+4=48

To check: 48-4=44

Therefore, your answer is 44

Answer:

77 degrees

Step-by-step explanation:

A triangle is 180 degrees

Step 1. 180-26=154

Step 2. 154/2=77 (Since both angles are x, it means they are both congruent, so you can assume that both angles are 77)

x=77

She saved 324 number of 20p coins altogether.

And, Halley need 176 more 20p coins to saved £100.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Halley saves up twenty-pence coins.

And, At the last count she had saved £64.80.

Now,

We know that;

Number of 20p coins in £1 = 5

So, Number of 20p coins in £64.80 = 5 × 64.80

                                                       = 324

And, Number of 20p coins in £100 = 5 × 100

                                                      = 500

So, He need number of 20p coins = 500 - 324

                                                      = 176

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In this case, the correct expression to decide if x is not between 10 and 20 is d. not (x > 10 and x < 20).

Step-by-step explanation: We want to determine if x is not between 10 and 20.                                                                                             This means that x is either less than 10 or greater than 20.

Using De Morgan's Law, we can rewrite "not between 10 and 20" as "not (10 < x < 20)" or "not ((x > 10) and (x < 20))".

This is because the negation of "and" is "or" and the negation of "or" is "and".

So the correct expression to decide if x is not between 10 and 20 is d. not (x > 10 and x < 20). This means that if x is greater than 10 and less than 20, the expression will evaluate to false, and if x is less than or equal to 10 or greater than or equal to 20, the expression will evaluate to true.

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The surface area of the rectangular prism is 1,355,531 cm2.

Surface area is a measure of the total area of the surface of an object. It is calculated by taking the total area of its faces, edges, and vertices and combining them into one figure. It is an important factor in determining the volume, mass, and other properties of a three-dimensional object. In the case of a cube, for example, the surface area is the sum of the areas of its six faces. It is also used to measure the total area of a two-dimensional object, such as a circle or a triangle.

The surface area of a rectangular prism is the sum of the areas of all of its faces. To find the surface area, one can use the formula A = 2lw + 2lh + 2hw, where l is the length, w is the width, and h is the height.

In this case, the length of the rectangular prism is 550 1/4 cm, the width is 412 3/4 cm, and the height is 275 1/8 cm. Using the formula, we can calculate the surface area of the prism as follows:

A = 2(550 1/4)(412 3/4) + 2(550 1/4)(275 1/8) + 2(412 3/4)(275 1/8)

A = 936,406 1/2 + 304,437 1/2 + 114,687 1/2

A = 1,355,531 cm2

Therefore, the surface area of the rectangular prism is 1,355,531 cm2.

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