a) Find all solutions of the recurrence relation an 2a-1+2n2 b) Find the solution of the recurrence relation in part (a) with initial condition a1 -4.

Answer:

D. 56.3 cubic units

Step-by-step explanation:

To find the volume of a rectangular prism you use the formula v=l*w*h which means you multiply 5*3*3.75 to find your answer of 56.3 cubic units.

\(\boxed{\large{\bold{\blue{ANSWER~:) }}}}\)

we know that

\(\sf{volume ~of~prism =l.w.h }\)

According to the question,.

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/4-(28/1)=0

Step by step solution :

STEP

1

:

28

Simplify ——

1

Equation at the end of step

1

:

x

— - 28 = 0

4

STEP

2

:

x

Simplify —

4

Equation at the end of step

2

:

x

— - 28 = 0

4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

28 28 • 4

28 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (28 • 4) x - 112

———————————— = ———————

4 4

Equation at the end of step

3

:

x - 112

——————— = 0

4

STEP

4

:

When a fraction equals zero

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-112

————— • 4 = 0 • 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-112 = 0

Solving a Single Variable Equation:

4.2 Solve : x-112 = 0

Add 112 to both sides of the equation :

x = 112

One solution was found :

x = 112

Step-by-step explanation:

make me as brain liest

Step-by-step explanation:

3x-3(20)=12

3x=72

x=24.

24 stickers on each sheet

The algebraic expression that can be represented by the statement is -5x/2 = 10

From the question, we have the following statement that can be used in our computation:

The negation of the product of five times a number divided by two is ten

Represent the variable with y

So, we have the following representation

The negation of the product of five times x divided by two is ten

Express the product as an actual product

So, we have the following representation

The negation of 5x divided by two is ten

Express the quotient as an actual quotient

So, we have the following representation

The negation of the 5x/2 is ten

Lastly, we have

-5x/2 = 10

Hence, the expression is -5x/2 = 10

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Answer:

The slope-intercept form of an equation looks like this: y=mx+b

The m stands for the slope and the b stands for the y-intercept.

We need two points from the line to write out this equation.

For example (-2,0) and (1,2)

Now that we have the slope, we can plug it into our equation: y= 2/3x + b

To get b, our y-intercept, we just need to plug in one of the points found and solve. For example (-2,0)

Now that we have both our m and b values, we can plug them in to get our equation: y=2/3x + 4/3

Step-by-step explanation:

\(m= \frac{y1-y2}{x1-x2} = \frac{0-2}{-2-1}\)

\(m=\frac{-2}{-3} = \frac{2}{3}\)

\(0=\frac{2}{3}(-2)+b\)

\(0=-\frac{4}{3}+b\\ 0+\frac{4}{3}=-\frac{4}{3}+\frac{4}{3}+b\\ 0+\frac{4}{3}=b\\ \frac{0*3}{3}+\frac{4}{3}=b\\ \frac{4}{3}=b\)

This would give us the coordinates for E as (1, 4).  Similarly, we can use the same method to find the coordinates for F, G, and H.  F would be (7,2), G would be (9,-5), and H would be (3,-6).

The coordinates of E can be found by taking the average of the x and y coordinates of points A and B.  This would give us the coordinates for E as (1, 4).  Similarly, we can use the same method to find the coordinates for F, G, and H.  F would be (7,2), G would be (9,-5), and H would be (3,-6).  To find the coordinates for these points, we use the formula \((x1 + x2)/2, (y1 + y2)/2\).  For example, to find the x coordinate for E, we would use (-2 + 4)/2 = 1, and for the y coordinate of E, we would use (3 + 5)/2 = 4.  We can then use this formula to find the coordinates for all of the midpoints.Step 1: Find coordinates of E, F, G, and H E: (1, 4) F: (7, 2) G: (9, - 5) H: (3, - 6) Step 2: Calculate the perimeter of the quadrilateral ABCD,Perimeter = |AB| + |BC| + |CD| + |DA = |(-2, 3) - (4, 5)| + |(4, 5) - (10, -1)| + |(10, -1) - (8, -9)| + |(8, -9) - (-2, 3)| = (6 + 14 + 18 + 10) = 48

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Line perpendicular to a given line is = 1/m

To find m, use m =y2-y1/x2-x1 formula

m = (8-(-3))/(-7-4)

m = 11/-11,

m = -1

Use y= mx+c to find equation of line

Plug in a pair of values,

-3= -1(4)+ c

c= 1

Thus, equation is:

y = -x+1

Equation of line perpendicular to this line is:

y= x+1

Hope it helps :)

Pls mark it as Brainliest :)

The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.

This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.

By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.

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Aiden would be paid greater than 4 dollars for the 8th drive on a particular day.

Sentences that express a truth, idea, or opinion are called statements. No longer do statements make requests, beg for information, or give instructions. They aren't exclamations either.

A declarative sentence in English grammar is one that establishes a fact, provides an explanation, or communicates information. Declarative statements are another name for these kinds of sentences. The most common type of sentence in the English language is a declarative one.

Given,

Aiden's charge (in dollars) for the nth drive on a specific day is modelled by M(n).

We must determine what M(8)< M(4) means.

When M(n) and M(8) are compared, we discover that n is equal to 8.

Aiden's fee (in dollars) for the nth drive on a certain day is represented by M(n), thus M(8) is the fee (in dollars) for the 8th drive on that same day.

It denotes that Aiden would be paid greater than 4 dollars for the 8th drive on a particular day.

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To determine the cost allocated to the land, we need to calculate the proportionate cost of the land in relation to the total appraised value of the real estate. Therefore, the cost allocated to the land is $32,500.

The total cost paid for the real estate is $310,000 plus $15,000 in closing costs, totaling $325,000. To allocate the cost to the land, we need to calculate the proportion of the land's appraised value to the total appraised value of the real estate.

The total appraised value of the real estate is the sum of the appraised values of the land, building, and land improvements, which amounts to $35,000 + $105,000 + $210,000 = $350,000.

To calculate the cost allocated to the land, we divide the appraised value of the land by the total appraised value of the real estate and multiply it by the total cost paid:

Cost allocated to land = (Appraised value of land / Total appraised value) * Total cost

= ($35,000 / $350,000) * $325,000

= 0.1 * $325,000

= $32,500

Therefore, the cost allocated to the land is $32,500. This allocation is based on the relative appraised value of the land compared to the total appraised value of the real estate.

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Answer:

-18

Step-by-step explanation:

If you're looking for the y-intercept for this equation this means that x = 0.

So substitute x as 0 in the equation and you'll get the following.

y + 3 = 5 (0 - 3)

y + 3 = -15

y = -18

In order to find if the triangle is acute, right or obtuse, we need to compare the square of the bigger side (a) with the sum of squares of the other sides (b and c):

If a² > b² + c², the triangle is obtuse.

If a² = b² + c², the triangle is right.

If a² < b² + c², the triangle is acute.

So we have:

The triangle is obtuse, therefore the correct option is B.

Answer:

its B

Step-by-step explanation:

Answer:

i got A for both of them ^^

for #1 you would do 8(1/2÷2)-(1/4+4)

and for #2 its 7(2.5) - (12/3+6)

Answer:

y = - 3

Step-by-step explanation:

Given

8(y - 3) = - 48 ( divide both sides by 8 )

y - 3 = - 6 ( add 3 to both sides )

y = - 3

Answer:-18 and +2

Step-by-step explanation:18*2=36

-18++2=-18+2=-16

The example that is not an example of instrumental (operant) conditioning is option a.

When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.

Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.

Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.

In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.

In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.

However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.

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The equation of g(x) = y=\(3^{x+1}\)+1 is if the function f(x)=3ˣ

A graph is a visual depiction or diagram that organizes facts or values. The points on the graph frequently reflect the relationship between two or more objects.

A function graph is a subset of a relation. In the current foundations of mathematics, and most notably in set theory, a function is truly equivalent to its graph. However, it is frequently beneficial to consider functions as mappings, which include not only the relationship between input and output, but also which set is the domain and which set is the codomain. For example, while determining whether a function is onto (surjective) or not, the codomain must be considered. The graph of a function does not determine the codomain on its own.

The graph is as follows: f(x) =\(3^{x}\)

The graph g(x) represents a transformation of the graph f(x).

The g(x) curve travels through (-2,2) and (-1,4).

Let (a, b) represent any point on f(x).

After translation, a new curve g(x) is obtained that is parallel to the line, y=1 or asymptode is, y=1 or the graph becomes parallel to the x axis when y reaches 1.

g(x)= y-1=\(3^{x+1}\)

g(x) = y=\(3^{x+1}\)+1

The graph of the translated curve is +1.

The two graphs are shown below.

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The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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Answer: 81 is the answer but it says what scores so you might be able to put 81 and above for example 82 83 84 and so on.

Step-by-step explanation:

If you add 91 93 and 95 you should get 279 then subtract 279 from 360 which will get u the answer which is 81 simple right now please giva a thanks like and rating if you found this helpful.

Answer: 8

Step-by-step explanation:

To determine the height of a tree using geometric means, we can set up a proportion based on similar triangles.

Let's assume "h" represents the height of the tree.

We have the following information: Distance from the tree: 8 ft

Height to your eyes: 4 ft

We can set up the proportion: Your height to distance = Tree height to distance

4 ft / 8 ft = h / (8 ft + h)

To solve for "h," we can cross-multiply and then solve the resulting equation:

4 ft * (8 ft + h) = 8 ft * h

4(8 + h) = 8h

32 + 4h = 8h

32 = 4h

Divide both sides of the equation by 4:

8 = h

Therefore, the height of the tree is 8 feet.

Answer:

Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5

Step-by-step explanation:

Hi, to answer this question we have to analyze the statement given and write an equation:

Sixteen is five less than a number

So, the number sixteen (16) is (=) five less (-5) than a number (n).

We have to subtract 5 to a number (x) and that expression must be equal to 16.

Mathematically speaking:

16= n-5

So, the correct option is:

Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5

Feel free to ask for more if needed or if you did not understand something.  

Answer:

C :)

Step-by-step explanation:

before you go, don't forget to smile:)

Answer:

21

Step-by-step explanation:

Answer:

- The mean, median and modal students' grades are all grade 70.

- The degree of spread of the grades about the mean grade is in grade value of the standard deviation, 15.

- Half of the class score grade 70 and beyond and half of the class also score grade 70 and below.

- 68% of the class score between grade 55 and 85.

- 95% of the class score between grade 40 and 100.

Step-by-step explanation:

If the normal distribution curve of the students' grades has a xbar = 70, and a σ = 15, it translates that the mean, median and the modal student grade is 70 because a normal distribution is that symmetric about the center of the distribution and the spread of the grades away from grade 70 is in grade scores of 15, the standard deviation.

It also directly mean that half of the distribution exist at grade 70 and above and the other half exists at grade 70 and below.

The empirical rule also explains further that 68% of the distribution exists between one standard deviation of the mean, that is;

68% of the distribution exists between (70±15) = (55, 85)

95% of the distribution exists between two standard deviations of the mean.

[70±(2×15)] = (40, 100)

Hope this Helps!!!

Answer:

Sample Response: By analyzing the curve, you can tell that the average, or mean, grade is 70. This is also the median of the grades, so we know that one half of the scores are less than or equal to 70, and the other half of the scores are greater than or equal to 70. The bulk of the scores are between 55 and 85.

Step-by-step explanation:

What did you include in your response? Check all that apply.

The mean and median of the scores is 70.

Most of the scores are between 55 and 85.

Half of the scores are less than or equal to 70, while the other half are greater than or equal to 70.

Answer:

He lost 0.113 kg

Step-by-step explanation:

Answer:

approx. 0.131 kg

Step-by-step explanation:

The measure of side OP in quadrilateral OPQR is 0.

To find the measure of side OP in quadrilateral OPQR, which is similar to quadrilateral KLMN, follow these steps:

1. Identify the corresponding sides in both quadrilaterals. In this case, side OP corresponds to side KL, side OQ corresponds to side KM, side PQ corresponds to side LN, and side QR corresponds to side MN.

2. Determine the scale factor between the quadrilaterals by comparing the lengths of corresponding sides. Since we have the lengths of sides KM (13), LN (27), and MN (57), we can use the ratio of KM/LN (13/27) or MN/LN (57/27) as the scale factor.

3. Apply the scale factor to the length of side KL (0) to find the length of side OP. Since the length of side KL is 0, multiplying by the scale factor (either 13/27 or 57/27) will still result in a length of 0 for side OP.

4. Round your answer to the nearest tenth if necessary. In this case, the length of side OP is 0, so rounding is not necessary.

So, the measure of side OP in quadrilateral OPQR is 0.

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Answer:

Step-by-step explanation:

Answer:

The solution is;

Explanation:

We want to evaluate;

Firstly, we have to evaluate the multiplication;

then we can now evaluate the addition ( According to the Order of BODMAS - Bracket Of Division Multiplication Addition and Subtraction)

Therefore, the solution is;

i provided the answer in both mixed fraction and improper fraction.

The parameterized equation of the line passing through P = (-4,6) and Q = (-2,12) is x = -4 + (t-8)(-2) and y = 6 + (t-8)(12).

To parameterize the line, we first find the direction vector of the line by subtracting the coordinates of Q from P: (Q - P) = (-2 + 4, 12 - 6) = (2, 6). Next, we can express the line in vector form as r = P + t(Q - P), where r is the position vector of any point on the line and t is the parameter.

Substituting the given coordinates of P and Q, we have r = (-4, 6) + t(2, 6). Expanding this equation, we get x = -4 + 2t and y = 6 + 6t. Finally, substituting t = 8 and t = 11, we obtain the parameterized equations x = -4 + (t-8)(-2) and y = 6 + (t-8)(12) for the points P and Q, respectively.

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The slope of the line on this graph is equal to 1/4.

In Mathematics, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope (m) = (50 - 30)/(90 - 10)

Slope (m) = 20/80

Slope (m) = 1/4.

In this context, we can reasonably infer and logically deduce that the slope of the line on this graph is equal to 0.25 or 1/4.

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