find the 5th derivative by using calculus with full workings of 7g^8+2g^7+4g^6+3g^5+g^2+5g+276.3

Answer:

X is a rational number

Step-by-step explanation:

if b is not rational X+b will not be rational

Answer:

Step-by-step explanation:

y= -3x

so we can substitute that into the first equation

which will turn into 6x-9=-3x

add 3x to both sides

9x-9=0

add 9 to both sides

9x=9 now divide

x=1

and y = -3x

y=-3

Answer:

r= x + 3

Step-by-step explanation:

They share the same y intercept so we can know the vertical shift up. The Y intercept of line z would be 3, so line r would share the intercept too. From this we can find that the slope would be one since moving one unit to the right also makes the equation go 1 unit up, from (0,3) to (1,4). This would mean that the equation of line r is r= x + 3

The area of the region R bounded by the graph of f(x) = x^2(x-6) and the x-axis on the interval [-1, 7] is approximately 371.00 square units.

To find the area of the region R bounded by the graph of f(x) = x^2(x-6) and the x-axis on the interval [-1, 7], we need to integrate the function f(x) over that interval. The area can be calculated using the definite integral:

Area = ∫[a,b] f(x) dx

In this case, a = -1 and b = 7. Let's calculate the area using integration:

Area = ∫[-1,7] x^2(x-6) dx

To solve this integral, we expand the polynomial and simplify:

Area = ∫[-1,7] (x^3 - 6x^2) dx

Next, we integrate term by term:

Area = (1/4)x^4 - (2/3)x^3 | [-1,7]

Now, we substitute the upper and lower limits of integration:

Area = [(1/4)(7^4) - (2/3)(7^3)] - [(1/4)(-1^4) - (2/3)(-1^3)]

Simplifying further:

Area = (1/4)(2401) - (2/3)(343) - (1/4)(1) + (2/3)(-1)

Area = 600.25 - 228.33 - 0.25 - 0.67

Area ≈ 371.00 (rounded to the nearest hundredth)

Therefore, the area of the region R bounded by the graph of f(x) = x^2(x-6) and the x-axis on the interval [-1, 7] is approximately 371.00 square units.

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To solve this we must be knowing each and every concept related to  cube root and its calculations. Therefore, the cube roots of 11 is 2.223.

In a nutshell, the cube roots of almost any integer is the component that we multiply on its own three times to produce the specific values. Remember that now the cube roots of an integer is the inverse of its cubing.

Only when yyy= x is the cube root of such a number x , a number y. All nonzero real numbers get one actual cube root and two complex conjugated cube roots, while all nonzero complex numbers possess three distinct complex cube roots.  The cube roots of 11 is 2.223.

Therefore, the cube roots of 11 is 2.223.

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A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."

In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.

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We need to graph the next given inequalities:

For 2x+y<1.

We need to find the x-intercept and y-intercept

To find the y-intercept, set x=0

To find the x-intercept, set y=0

The symbol "<" means less than, so we get the next graph:

For the second inequality y>1/2x+2

To find the y-intercept, set x=0

Option (c) 26.7% of the global oceans are Marine Protected Areas (MPAs). Marine Protected Areas (MPAs) are designated areas in the oceans that are set aside for conservation and management purposes.

They are intended to protect and preserve marine ecosystems, biodiversity, and various species. MPAs can have different levels of restrictions and regulations, depending on their specific objectives and conservation goals.

As of the current knowledge cutoff in September 2021, approximately 26.7% of the global oceans are designated as Marine Protected Areas. This means that a significant portion of the world's oceans has some form of protection and management in place to safeguard marine life and habitats. The establishment and expansion of MPAs have been driven by international agreements and initiatives, as well as national efforts by individual countries to conserve marine resources and promote sustainable practices.

It is worth noting that the percentage of MPAs in the global oceans may change over time as new areas are designated or existing MPAs are expanded. Therefore, it is important to refer to the most up-to-date data and reports from reputable sources to get the most accurate and current information on the extent of Marine Protected Areas worldwide.

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The relationship between r and s represents by the equation r = 1/6 s. So the option D is correct.

We have to determine which equation represents the relationship between r and s.

When we analysis the table we see that

r(1) = 1 × 1/6 = 1/6

r(2) = 2 × 1/6 = 1/3

r(3) = 3 × 1/6 = 1/2

r(4) = 4 × 1/6 = 2/3

r(5) = 5 × 1/6 = 5/6

r(6) = 6 × 1/6 = 1

So we can say that

r = s × 1/6

So, r = 1/6 s

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The complete question is:

The table shows the relationship between r and s, where s is the independent variable.

s          1          2          3          4          5          6

r          1/6       1/3       1/2       2/3       5/6        1

Which equation represents the relationship between r and s?

A. 1/6 r

B. s - 5/6

C. r - 5/6

D. r = 1/6 s

We have to use pigeonhole principle to find balls from bowl. From 75 balls at least one out of 31 balls will be of black color, out of 23 balls will be red, out of 25 will be blue, out of 27 balls will be green, out of 29 will be yellow.

out of 75 balls for each ball to be chosen at least once then we have to compute each color of ball separately,

By using the pigeonhole principle's formula n(r - 1) + 1

For red ball,

N=11, k=1, [N/2]≥3

= 11(3-1)+1

= 23

Hence, out of 23 balls from 75 balls at least one will be of red color

For, blue ball

N=12, k=1, [N/2]≥3

= 12(3-1)+1

= 25

Hence, out of 25 balls from 75 balls at least one will be of blue color

For green color,

N=13, k=1, [N/2]≥3

= 13(3-1)+1

= 27

Hence, out of 27 balls from 75 balls at least one will be of green color

For yellow ball,

N=14, k=1, [N/2]≥3

= 14(3-1)+1

= 29

Hence, out of 29 balls from 75 balls at least one will be of yellow color

For black ball,

N=15, k=1, [N/2]≥3

= 15(3-1)+1

= 31

Hence, out of 31 balls from 75 balls at least one will be of black color

The pigeonhole principle states that if n items are put into m containers, where n > m, at least one container must contain more than one item. If there are k+1 or more pigeons dispersed throughout the k pigeonholes, at least one pigeonhole will have two or more pigeons. Proof. The statement's converse is that there can only be a maximum of k pigeons if each slot can only accommodate one bird.

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Answer:

x=3, y=5

Step-by-step explanation:

Answer:

n = x + 8

Step-by-step explanation:

Using the rules of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

\((a^m)^{n}\) = \(a^{mn}\)

Then

\(3^{x}\) × \(9^{4}\) = \(3^{n}\)

\(3^{x}\) ×\((3^2)^{4}\) = \(3^{n}\)

\(3^{x}\) × \(3^{8}\) = \(3^{n}\)

\(3^{x+8}\) = \(3^{n}\)

Since bases on both sides are equal, both 3, then equate exponents

n = x + 8

Answer:

1<x<4

Step-by-step explanation:

9<2x+7<15

9+−7<2x+7+−7<15+−7(Add -7 to all parts)

2<2x<8

2 /2 < 2x /2 /< 8 /2  (Divide all parts by 2)

1<x<4

The summation of the present values (year 0 value) of FCFs in Year The correct option is C. 1710.

The present value of a future cash flow is the amount of money that would have to be invested today at a given interest rate to produce the future cash flow.

In this case, the interest rate is 2%, and the future cash flows are $1000 in year 1, $1100 in year 2, and $1210 in year 3. The present value of these cash flows is calculated as follows:

Present value = (Future cash flow 1 / (1 + Interest rate)^1) + (Future cash flow 2 / (1 + Interest rate)^2) + (Future cash flow 3 / (1 + Interest rate)^3)

= (1000 / (1 + 0.02)^1) + (1100 / (1 + 0.02)^2) + (1210 / (1 + 0.02)^3)

= 1710

This is rounded to 2 decimal places.

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The summation of the present values (year 0 value) of FCFs in Year. So, the correct option is C. 1710.

The present value of a future cash flow is the amount of money that would have to be invested today at a given interest rate to produce the future cash flow.

In this case, the interest rate is 2%, and the future cash flows are $1000 in year 1, $1100 in year 2, and $1210 in year 3. The present value of these cash flows is calculated as follows:

Present value = (Future cash flow 1 / (1 + Interest rate)^1) + (Future cash flow 2 / (1 + Interest rate)^2) + (Future cash flow 3 / (1 + Interest rate)^3)

= (1000 / (1 + 0.02)^1) + (1100 / (1 + 0.02)^2) + (1210 / (1 + 0.02)^3)

= 1710

This is rounded to 2 decimal places.

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Answer:

45 inches

Step-by-step explanation:

C = (pi)(diameter).

Assuming that the radius of the pizza in this case is 7 inches, the diameter is twice that, or 14 inches.

Thus, the circumference of the pizza is C = (3.14)(14 inches) = 45 inches

approximately.

Hello there!

The first 3 multiples of 3:

3, 6, 9.

3 squared (3 times itself) equals 9

6 squared (6*6)=36

9 squared (9*9)=81

Hope this helps!

~Just a felicitous girlie

\(SilentNature\) is here to help

The area of the swimming pool cover is approximately 159.27 square feet, rounded to the nearest hundredth.

To find the area of the swimming pool cover, we can calculate the area of the rectangle and the area of the semicircle separately.

Area of the rectangle:

The length of the rectangle is 12 feet and the width is 10 feet. The formula to calculate the area of a rectangle is:

Area_rectangle = length × width

Area_rectangle = 12 × 10

Area_rectangle = 120 square feet

Area of the semicircle:

The radius of the semicircle is half the distance between the parallel lines, which is 10/2 = 5 feet. The formula to calculate the area of a semicircle is:

Area_semicircle = (π × radius²) / 2

Area_semicircle = (π × 5²) / 2

Area_semicircle = (π × 25) / 2

Area_semicircle ≈ 39.27 square feet

The total area of the swimming pool cover:

To find the total area, we add the area of the rectangle and the area of the semicircle:

Total_area = Area_rectangle + Area_semicircle

Total_area = 120 + 39.27

Total_area ≈ 159.27 square feet

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Answer:

253 or c

Step-by-step explanation:

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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The solution is:

6 workers have to be on the team to finish the project A in 72 days

Here,

In any project, if x employees work for y days to finish the project, then

Project = x y

x and y are variables but the project is constant, so

In the same job, if z employees work for m days to finish it, then

Project = z m

∵ Project = Project

∴ x y = z m

Very important note:

This relation is called inverse variation, which means if the number of workers increases, then the number of days decreases

The product of the 2 quantities (workers and the days) is constant

Let us use this rule in the question

∵ 18 workers will take 95 days to finish the project

∴ Project = 18 (95) = 1710

∵ x workers take 72 days to finish the same project

∴ Project = x (72)

→ Substitute the project by 1710

∴ 1710 = 72 x

Divide both sides by 72 to find x

∴ x = 23.75 ≈ 24

∵ x represents the number of workers

∴ 24 workers can finish the project in 72 days

∵ There are 18 workers already

∴ The number of workers needed = 24 - 18 = 6

∴ 6 workers have to be on the team to finish the project A in 72 days.

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complete question:

Project A Overview

No employees: 18

No of days: 95

Budgeted spend ($): 32000

Actual spend ($): 30000

Question: How many more employees have to be on team that will work on project A if the company wants to finish project within 72 days?

The pattern of association refers to the relationship that exists between two variables such as positive, negative, or no correlation.

In mathematics, a pattern of association refers to the relationship between two or more variables. This relationship can take several forms, such as a positive correlation, a negative correlation, or no correlation.

A positive correlation exists when the variables increase or decrease together. This means that as one variable increases, the other variable also increases and vice versa.

A negative correlation exists when the variables move in opposite directions. As one variable increases, the other variable decreases and vice versa.

A no correlation exists when there is no relationship between the variables. This means that the variables do not change together and there is no pattern in the data.

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The four corners of a square are 90 degrees.

They are evenly split by the diagonal lines, so each corner is now two 45 degree angles.

The lines form triangles, which have 3 angles that need to equal 180 degrees.

Two of the angles are 45, so 45 + 45 = 90 degrees.

X = 180 -90 = 90 degrees.

Answer:

90 degrees

By 90 * 4 is 360

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

To determine the number of rolls, take the number of packs and multiply by the number of rolls per pack.

10 *4 = 40

40 rolls total.

Answer:

40 rolls

Step-by-step explanation:

10 packs * 4 rolls per pack

Therefore, the 90% confidence interval for the population mean is (120.89, 129.71).

To calculate the confidence interval for the population mean, we can use the formula:

Confidence Interval = sample mean ± (critical value) * (standard deviation / √n)

Given:

Sample mean  = 125.3

Standard deviation  = 13.42

Sample size (n) = 25

First, we need to determine the critical value corresponding to a 90% confidence level. Since the population is assumed to have a normal distribution, we can use the Z-score table or a calculator to find the critical value. For a 90% confidence level, the critical value is approximately 1.645.

Substituting the values into the formula:

Confidence Interval = 125.3 ± 1.645 * (13.42 / √25)

Calculating the values:

Confidence Interval = 125.3 ± 1.645 * 2.684

Confidence Interval = 125.3 ± 4.414

Finally, rounding to two decimal places:

Confidence Interval = (120.89, 129.71)

Therefore, the 90% confidence interval for the population mean is (120.89, 129.71).

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If A is an m × n matrix. The following are true regarding it: 1. The number of pivot positions in A is called the rank of A.2. A pivot column of A is a column that contains a pivot position.3. A pivot position of A is a location in A that corresponds to a leading 1 in the reduced echelon form of A.4. Free variables of a linear system are variables corresponding to the non-pivot columns of A.

The rank of a matrix is the number of pivot positions in the matrix after it has been reduced to a reduced echelon form. In the reduction procedure, the rows and columns of the matrix are manipulated to convert the matrix into a reduced echelon form.

A pivot column of matrix A is one that contains at least one pivot position, according to the definition. These are columns that have a leading 1 in a reduced echelon form. These columns contain the variables in the equation system that correspond to the pivot rows.

In matrix A, a pivot position is the location of a leading 1 in the matrix's reduced echelon form. The reduced echelon form of a matrix is the one in which the matrix has been transformed so that it satisfies certain criteria for ease of use.

The variables that do not correspond to pivot columns in matrix A are referred to as free variables. These variables are not bound to specific values in a solution to the associated equation system. They can take on any value and therefore provide an infinite number of solutions.

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Answer:

No. ≤  means less than or equal to

Step-by-step explanation:

The length of the line segment MN given that the ratio of KL:LM:MN = 2:3:1 is; 9

We are told that the points K, L, M and N all lie on the same line segment.

Since the points lie on the same line segment, then it means that they are collinear points.

We are told that the ratio of the segments, KL:LM:MN = 2:3:1.

This means that we can find the length of MN since we are also given the total length of the whole segment, KN = 54.

Length of MN = (Individual ratio of MN ÷ the total ratio value of the 3 given segments) × length of the whole segment

Individual ratio of MN = 1

Total ratio value of the 3 given segments = 2 + 3 + 1 = 6

Length of whole segment, KN = 54

Length of MN = (1/6) * 54

Length of MN = 9

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