Construct an explicit rule in function notation for the arithmetic sequence represented in the table. Then determine the value of the given term, and explain what it means. Darnell starts saving the same amount from each week′s paycheck. The table shows the total balance f(n) of his savings account over time in weeks. Time (weeks) n 1 2 3 4 Savings account balance ($) f(n) 260 360 460 560 Determine the value of f(11) and tell what it represents in this situation. f(n) = + (n − 1) f(11) = After 11 weeks, Darnell′s savings account will have a total of $ .

Answer:

SA = 10,800 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 40

w = 60

h = 30

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 60(40) + 30(40) + 30(60) )

SA = 2 ( 2400 + 1200 + 1800 )

SA = 2 ( 5400 )

SA = 10,800 ft²

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The statement "NOT(MyAge > YourAge)" is true if MyAge is not greater than YourAge, which is not the case in this scenario because 30 is less than 40.

Therefore, option (a) is false.

The statement "MyAge >= YourAge" is also false because MyAge (30) is less than YourAge (40). Therefore, option (b) is also false.

Option (c) states that none of the above statements are true, which is also false because statement (a) is false.

Option (d) is irrelevant because it compares the values of MyAge and YourAge with string values, which is not the correct way to compare integers. Therefore, option (d) is also false.

The correct answer is (c) None of the above are a true statement.

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Answer:

4.79

Step-by-step explanation:

4.79 is reasonable for the problem

The price of one paint set before the sale is $4.79

We are expected to determine the price of one paint set before the sale.

From the information given:

∴

The amount at which Yuri bought 1 paint set is:

\(\mathbf{= \dfrac{\$6.88}{2.0}}\)

= $3.44

Recall that during the sale, the store reduce the price of each paint set by $1.35

Therefore, the price of one paint set before the sale is = $3.44 + $1.35 = $4.79

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The answer is 7(5z + 1), which is a product with a whole number higher than 1.

Given factor;

The factor is 35z + 7

To know the solution as a product with a whole number greater than 1;

For the given factor,

As 35 is a factor of 5 and 7, then

( 35z + 7 ) = 7( 5z + 1 )

⇒ 7( 5z + 1 )

As a product with a whole number greater than 1, the solution is 7(5z + 1).

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Sudden, intense, and short-lived anxiety is to panic attacks as ongoing, persistent, and global anxiety is to generalized anxiety disorder.

Generalized anxiety disorder (GAD) is a condition that causes a person to feel worried or anxious about a wide range of situations and issues, often without any obvious reason. Unlike panic attacks which are characterized by sudden and intense fear or discomfort that reaches a peak within minutes, GAD is persistent and can last for months or even years if left untreated. People with GAD may experience physical symptoms such as muscle tension, fatigue, and sleep disturbance, which can significantly impact their daily life and functioning. It's important for individuals with persistent anxiety to seek professional help to manage their symptoms and improve their quality of life.

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Answer:

We have:

x = t^2 + 2*t

y = -t

where:

–4 ≤ t ≤ 1

Isolating t in the "y" equation, we get:

t = -y

Now we can use the limits of t, to find similar limits for y.

When t = -4

-4 = -y

4 = y

when t = 1

1 = -y

-1 = y

Then the limits for y are:

-1 < y < 4

Now, knowing that t = -y

we can replace that in the "x" equation:

x = t^2 + 2*t

x = (-y)^2 + 2*(-y)

x = y^2 - 2*y

Then the graph of the parametric equation is the one defined by:

x = y^2 - 2*y

in the range

-1 < y < 4

The graph of this can be seen below, where the two black dots are the points where the graph should start/end.

The graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.

An approach to determine the possible graph consists in eliminating \(t\) and simplify the resulting expression of the form \(f(x)\):

\(x = t^{2}+2\cdot t\) (1)

\(y = -t\) (2)

By (2):

\(t = -y\)

(2) in (1):

\(x = (-y)^{2} + 2\cdot (-y)\)

\(x = y^{2}-2\cdot y\)

In a nutshell, the graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.

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Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

We are given the term:

16x

We want to find the coefficient.

A coefficient is a constant that a variable is multiplied by. Essentially, it is the number in front of the variable.

The variable in the term is x. The number that precedes the variable is 16. Therefore, the coefficient of the term must be 16.

Answer:Never mind I don't want to spread it around

Step-by-step explanation:

lol

Answer:

Did you learn about equal rectangles? we can prove AEB and CED are equal, which results in what we need to prove here

AE = CE and BE = DE. This can be proved with the help of the properties of congruent triangles.

'A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.'

According to the given problem,

ABCD is a parallelogram.

We know,

BC ║ AD and BC ≅ AD

From, the properties of a parallelogram,

∠CBD = ∠ADB

∠BCA = ∠DAC

We know, two lines are parallel and alternate interior angles of the parallelogram are equal.

Also, Δ BEC ≅ ΔAED (Angle-Side-Angle)

Therefore, AE ≅ CE ( The properties of congruent triangles )

                  BE ≅ DE ( The properties of congruent triangles )

Hence, we can conclude, in the parallelogram ABCD, AE = CE and BE = DE from the properties of congruent triangles.

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In a binomial distribution, the number of ways of arranging all trials to be failures is 1. This means that there is only one way to have all trials result in failures, as each trial can only have one possible outcome - a failure.

1. In a binomial distribution, each trial can result in either a success or a failure. Let's assume that there are n trials in total.

2. To arrange all trials to be failures, we need to ensure that no trial results in a success. Therefore, for each trial, there is only one possible outcome - a failure.

3. The number of ways of arranging all trials to be failures can be calculated using combinations. In this case, we need to select 0 successes from n trials. The number of ways to do this is given by the combination formula: C(n, 0) = 1, where C represents the combination.

Therefore, the number of ways of arranging all trials to be failures in a binomial distribution is given by the combination formula, C(n, k) = n! / (k! * (n-k)!).

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The number of ways of arranging all trials to be failures in a binomial distribution is always 1. This is because there is only one way to have no successes in a set of trials.

Regardless of the number of trials or the probability of success, the number of ways of arranging all trials to be failures in a binomial distribution is always 1.

The number of ways of arranging all trials to be failures in a binomial distribution can be determined using the formula for the binomial coefficient.
The binomial coefficient, often denoted as nCk or n choose k, represents the number of ways to choose k items from a set of n items, without considering their order. In the context of a binomial distribution, n represents the total number of trials and k represents the number of successes (in this case, 0).
To find the number of ways of arranging all trials to be failures, we can use the binomial coefficient formula:
nCk = n! / (k!(n-k)!)
In this case, since we want all trials to be failures, k is equal to 0. Thus, the formula simplifies to:
nC0 = n! / (0!(n-0)!) = n! / (0! * n!) = 1

For example, if we have 5 trials and we want all of them to be failures, there is only one possible arrangement: FFFFF, where F represents a failure.

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The measurement of the sides of the equilateral triangle is 16 cm.

The perimeter of the rectangle,

Perimeter of rectangle = 2(length + width)

                                      = 2(15 + 9)

                                      = 2(24)

                                      = 48 cm

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle, we have,

Perimeter of equilateral triangle = 48 cm

An equilateral triangle has all three sides equal, so let's call the length of each side "s". The perimeter of the equilateral triangle can also be expressed as:

Perimeter of equilateral triangle = 3s

Therefore, we have,

3s = 48

Solving for "s", we get,

s = 16

The length of sides of equilateral triangle is 16 cm.

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The measure of the middle angle of  triangle abc is 52°

Let the largest angle of triangle be x, the smallest angle be z, and the third angle be y.

Given that the measure of the largest angle is 32 less than 3 times the smallest angle.

So, we get an equation,

x = 3z - 32              ............(1)

Also, the measure of the middle angle is 8 more than half the measure of the largest angle.

So, we get an equation,

y = 8 + (x/2)          .......(2)

From equation (1),

z = (x + 32)/3           ..........(3)

We know that the sum of all angles of triangle is 180 degrees.

x + y + z = 180

Substitute the values of y and z in above equation.

x + 8 + (x/2) + (x + 32)/3 = 180

6x + 48 + 3x + 2(x + 32) = 1080

9x + 48 + 2x + 64 = 1080

11x + 112 = 1080

11x = 1080 - 112

11x = 968

x = 88

Substituting above value of x in equation (2)

y =  8 + (88/2)

y = 8 + 44

y = 52 degrees

Therefore, the middle angle of triangle measures 52 degrees.

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The given function f(x) = x² + x + 6 has a minimum value. Using the formula x = -b/2a, we find the x-coordinate of the minimum point as -1/2. Substituting this value back into the function, we get a y-coordinate of 5.75. Therefore, the parabola has a minimum value of 5.75. The correct answer is D.

The given function is f(x) = x² + x + 6. We can determine the maximum or minimum value of a parabola by analyzing its quadratic term (x²) coefficient.

In this case, the coefficient of the quadratic term is positive (1), indicating that the parabola opens upwards and has a minimum value.

To find the x-coordinate of the minimum point, we can use the formula x = -b/2a, where a is the coefficient of the quadratic term and b is the coefficient of the linear term.

For our function f(x), a = 1 and b = 1, so the x-coordinate of the minimum point is x = -1/(2*1) = -1/2.

Substituting this value back into the function, we can find the y-coordinate of the minimum point: f(-1/2) = (-1/2)² + (-1/2) + 6 = 1/4 - 1/2 + 6 = 5.75.

Therefore, the parabola modeled by function f has a minimum value of 5.75. Hence, the correct answer is D.

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The correct question would be as

Select the correct answer.

Consider function f.

f(x) = x² = x + 6

Which statement is true about the parabola modeled by function f?

A. The parabola has a maximum value of 0.5.

B. The parabola has a maximum value of 5.75.

C. The parabola has a minimum value of 0.5.

D. The parabola has a minimum value of 5.75.

The value for the washer/dryer combo after 4 years is  1,357.2 dollars.

We know that Emma pays $2,600 for a washer/dryer combo. Each year, the appliance loses 15% of its resale value, then the value after x years is modeled by the exponential decay.

V(x) = 2,600*(1 - 0.15)ˣ

The value after 4 years is what we get when we evaluate this in x = 4, we will get:

V(4) = 2,600*(1 - 0.15)⁴

Simplify that:

V(4) = 1,357.2

The value is after 4 years of the washer/dryer is 1,357.2 dollars.

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Answer:

4x^3 (3)_/x + 10x^3 (3)_/x

Step-by-step explanation:

First lets solve the first term

When you multiply exponents you add them, so x^10 can be split into:

x^3 * x^3 * x^3 * x^1

We can then take it out.

4x^3 (3)_/x

Then for the other part we can also factor it.

2*2*2 is 8 so we can take that out and multiply it by 5 =10

You can keep x in there since you can factor it into smaller pieces.

The final answer you get when you add all of it together is :
4x^3 (3)_/x + 10x^3 (3)_/x

Check the picture below.

Answer:

B

Step-by-step explanation:

MV is half of QM

Answer:

Step-by-step explanation:

Answer:

4:16 or 1:4

Step-by-step explanation:

1/5 of 20 = 4

there are 4 red marbles

there are 16 blue marbles

4:16 or 1:4

Answer:

1/5 to 4/5

Step-by-step explanation:

I took this quiz befrore and got a 100

Answer: 57920 per month

Step-by-step explanation: 905 x 64 = 57920

Answer:

1. 52.5

2. 4

3. 3%

4. $600

Step-by-step explanation:

Answer:

3x + 4 ≤ 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

__________________

X |_-2_|_-1_|__0_|_1_|_2_|

Y |_1_|__0_|__-1_|_0_|_1_|

X=-2 => y=2-1=1

X=-1=> y=1-1=0

X=0=> y=0-1=-1

X=1=> y=1-1=0

X=2 => y=2-1=1

..........

X=10=> y=10-1=9

X=-10=> y=10-1=9

=> (0,+∞]

The correct statements are:

There are four ways to choose the committee.

There are three ways to form the committee if person D must be on it.

If persons B and C must be on the committee, there are two ways to form the committee.

It is given that:

A membership committee of three is formed from four eligible members.

1)

There are four ways to choose the committee.

This statement is true.

since we have to choose 3 members out of the 4 members so we can use the method of combination.

2)

There are three ways to form the committee if person D must be on it.

This statement is also true.

since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

3)

If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

i.e. there are 35 combinations possible.

4)

If persons B and C must be on the committee, there are two ways to form the committee.

if B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

5)

If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be in the committee then as in last option we have to choose any one of the two person left.

so possible number of ways are 2.

Hence, the statement is false.

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Answer:

Step-by-step explanation:

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The function f(x) = 6^x is an exponential function with base 6. The base of an exponential function is the constant value raised to the power of the input variable.

To find f(-2), we substitute -2 into the function:

f(-2) = 6^(-2)
      = 1 / (6^2)
      = 1 / 36

Therefore, f(-2) = 1/36.

To find f(0), we substitute 0 into the function:

f(0) = 6^0
     = 1

Therefore, f(0) = 1.

To find f(2), we substitute 2 into the function:

f(2) = 6^2
     = 36

Therefore, f(2) = 36.

To find f(6), we substitute 6 into the function:

f(6) = 6^6
     = 46656

Therefore, f(6) = 46656.

In summary, the function f(x) = 6^x has a base of 6, f(-2) = 1/36, f(0) = 1, f(2) = 36, and f(6) = 46656.

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Multistage cluster sampling with stratification, systematic sampling, simple random sampling and disproportionate stratified sampling are examples of probability sampling.Probability sampling is the process of selecting a sample from a population when the selection is based on the randomization principle, often known as chance or random selection.

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Answer:

45/32 or 1.40

Step-by-step explanation:

Answer:

3 9/32 or 105/32

Step-by-step explanation:

2 1/2 = 5/2, 1 3/4 = 7/4

5/2 * 7/4 = 35/8

35/8 * 3/4 = 105/32

105/32 = 3 9/32

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Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

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