Consider the trinomial x2 + 10x + 16. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?

By using the volume of a right circular cone, it can be calculated that

Height of the right circular cone is 14 units

What is volume of a right circular cone?

Volume of a right circular cone is the total space taken by the right circular cone.

If r is the radius of the right circular cone and h is the height of the right circular cone, then volume of the right circular cone is calculated by the formula

\(v = \frac{1}{3}\pi r^2h\)

Let the height of the right circular cone be h units

Diameter of cone = 12 units

Radius of cone = \(\frac{12}{2}\) = 6 units

Volume of cone = \(\frac{1}{3} \times \pi \times 6^2 \times h\)

By the problem,

\(\frac{1}{3} \times \pi \times 6^2 \times h = 168 \pi\)

h = \(\frac{168 \pi\times 3}{6 \times 6 \times \pi}\)

h = 14 units

Height of the right circular cone is 14 units

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James would pay R77,410.46 in taxes on his R364,321 annual taxable income for the tax year that ends on February 28, 2022.

James's tax bracket, deductions, and credits, among other things, would all affect how much tax he pays. The various income ranges that are subject to various rates of taxation are referred to as tax brackets.

Income up to R216 200: 18% of taxable income

Income from R216 201 to R337 800: R38 916 plus 26% of taxable income above R216 200

Income from R337 801 to R467 500: R70 742 plus 31% of taxable income above R337 800

Income from R467 501 to R613 600: R110 739 plus 36% of taxable income above R467 500

Income from R613 601 to R782 200: R163 335 plus 39% of taxable income above R613 600

Income from R782 201 to R1 656 600: R229 089 plus 41% of taxable income above R782 200

Income above R1 656 601: R587 593 plus 45% of taxable income above R1 656 600

Based on James' annual taxable income of R364,321.

The first R216,200 of James' income would be taxed at 18%, which equals R38,916.

The remaining R148,121 of James' income would be taxed at 26%, which equals R38,494.46.

Therefore, James' total tax liability would be R77,410.46.

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James,67 year old, has an annual taxable income of R364321 per year, What amount of tax he pays?

The area of triangle A"B"C" is 1/9 of the area of triangle ABC.

In this problem, we are given a triangle ABC and asked to construct a new triangle A'B'C' by taking points on each side of the original triangle such that they divide the sides into thirds. We then repeat this process to create another triangle A"B"C" using points on the sides of A'B'C'. The objective is to show that the sides of triangle A"B"C" are parallel to the corresponding sides of triangle ABC. Additionally, we need to determine the fraction of the area of triangle ABC that is occupied by triangle A"B"C".

Let's start by examining triangle ABC and the construction of triangle A'B'C'. We are given that point A' is located one-third of the way from point B to point C. This means that the distance from B to A' is one-third of the distance from B to C. We can express this mathematically as AB' = (1/3)BC. Similarly, we can determine the other side lengths of triangle A'B'C' as BC' = (1/3)CA and CA' = (1/3)AB.

To demonstrate that the sides of triangle A"B"C" are parallel to the corresponding sides of triangle ABC, we need to show that the ratios of the side lengths are equal. Let's consider one side as an example. We know that AB' = (1/3)BC in triangle A'B'C'. Now, let's examine the corresponding side in triangle A"B"C". Denote the side length in triangle A"B"C" as A"B''. Using a similar logic, we can express A"B'' as (1/3)B"C".

To compare the ratios, we can set up a proportion:

AB' / BC = A"B'' / B"C"

Substituting the values we obtained earlier:

(1/3)BC / BC = (1/3)B"C" / B"C"

Simplifying the equation, we find:

1/3 = 1/3

Since the ratio of the side lengths is the same for all corresponding sides, we can conclude that the sides of triangle A"B"C" are parallel to the sides of triangle ABC.

Now, let's determine the fraction of the area of triangle ABC that is occupied by triangle A"B"C". Since triangle A"B"C" is created by taking one-third of each side length of triangle A'B'C', we can conclude that the ratio of their areas will be the square of the ratio of their side lengths.

The ratio of the side lengths is 1/3, so the ratio of the areas will be (1/3)^2 = 1/9.

Therefore, the area of triangle A"B"C" is 1/9 of the area of triangle ABC.

In summary, we have shown that the sides of triangle A"B"C" are parallel to the sides of triangle ABC, and the area of triangle A"B"C" is 1/9 of the area of triangle ABC.

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A Gantt chart is indeed a specialized chart type. Basic chart types include bar charts, line charts, and pie charts, which are commonly used for visualizing data. Specialized chart types, such as Gantt charts, serve more specific purposes.

Yes, there are indeed basic chart types as well as specialized chart types. Basic chart types include things like bar graphs, line graphs, and pie charts, while specialized chart types are designed for more specific purposes, such as organizational charts, flowcharts, and Gantt charts.

In particular, a Gantt chart is a specialized chart type that is commonly used in project management to help visualize the tasks, milestones, and dependencies involved in a project. It is designed to show a timeline of when each task or activity needs to be completed, as well as how long it will take and what resources will be needed.

Overall, while basic chart types are great for general data visualization purposes, specialized chart types like Gantt charts can be incredibly useful for specific tasks or industries, and can help users to more effectively communicate and manage complex information.

A Gantt chart is indeed a specialized chart type. Basic chart types include bar charts, line charts, and pie charts, which are commonly used for visualizing data. Specialized chart types, such as Gantt charts, serve more specific purposes. A Gantt chart is designed for project management and helps visualize a project's timeline, tasks, and progress, making it easier to manage and allocate resources.

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Answer: No, the answer is D (it gains electrons)

Step-by-step explanation:

An object becomes negatively charged by gaining electrons, not by gaining protons. Protons are positively charged particles found in the nucleus of an atom and are not easily gained or lost by an object. On the other hand, electrons are negatively charged particles that are more easily gained or lost by an object, leading to a net positive or negative charge. When an object gains electrons, it becomes negatively charged as the number of negatively charged particles (electrons) exceeds the number of positively charged particles (protons).

Answer:

19.1

Step-by-step explanation:

Pythagorean theorem: a^2+b^2=c^2

4^2+7^2=c^2

16+49=c^2

C^2=65

c=hypotenuse =root 65

Perimeter =7+4+root65=19.1ft

Answer:

30 is the smallest number

If the barber shop has four chairs and a single barber and each customer requires 15 minutes on average then assuming an exponential distribution for service times, the expected time an entering customer spends in the barbershop is 0.5 minutes.

In a Poisson process, the number of arrivals is independent of the past and the future and the time between consecutive arrivals is exponentially distributed. Customers are arriving at the barber shop according to a Poisson process at a rate of eight per hour.

The average arrival rate of the customer is given as = 8 customers/hour, which means that the average time between arrivals will be 7.5 minutes. The customer service time is given as exponentially distributed, so the expected customer service time is the inverse of the service rate.

Therefore, the expected service time = 1/4 = 0.25 hours = 15 minutes. We can then use the M/M/1 queuing model to determine the expected time an entering customer spends in the barbershop. The M/M/1 queuing model is based on the following assumptions:

Since there are four chairs in the barber shop, we can assume that the system capacity is four.

So, the system capacity is less than infinity.

We can modify the M/M/1 queuing model for M/M/1/4 queuing model.

According to the queuing model, the expected time an entering customer spends in the barbershop can be calculated as:

W = 1/μ - 1/λ  + 1/(μ-λ) * (1- (λ/μ)^4)

Where: λ = Arrival rate

μ = Service rate

W = Waiting time per customer

Therefore,

W = 1/0.25 - 1/0.5 + 1/(0.5-0.25) * (1- (0.25/0.5)^4) = 0.5 - 2 + 2.6667*0.9375 = 0.5 minutes

Therefore, the expected time an entering customer spends in the barbershop is 0.5 minutes.

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Answer:

the maximum range is 2 the minimum range is -9

Step-by-step explanation:

im not great at explaining things

Answer:

21.7(0)

Step-by-step explanation:

Divide 15.50 by 5, which gets you to 3.1

Multiply 3.1 by 7, and get 21.7

Hope this helps ^^

Answer:

21.70

Step-by-step explanation:

15.50 devided by 5 then multiplied by 7

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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The answer is B. No, because while the histogram is unimodal, it is not symmetric.

While the histogram is unimodal, it is not symmetric. It is skewed to the right, which means that the data is not evenly distributed. This can have an effect on the analysis of the data using a normal model. The normal model assumes that the data is symmetric and evenly distributed, which is not the case in this situation.

In addition, the sample size of 27 trees may not be large enough to support the use of a normal model. Generally, a sample size of at least 30 is recommended for using a normal model.

Therefore, the forester may not be justified in using a normal model to analyze these woods. A non-parametric approach, such as the Wilcoxon rank-sum test or the Kruskal-Wallis test, may be more appropriate for analyzing this data.

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Answer:

1,205

Step-by-step explanation:

Take 810, and divide by 2, getting 405

Add 810 and 405

810 + 405 = 1,205

Answer:

1215

Step-by-step explanation:

50 over 100 × 810 over 1

cross out one 0 in 100 and the 0 in 810.

then turn the 50 into 5 and the 10 into 1.

5x81=405

810+405+1215

pls mark me brainliest

Answer:

the answer is c

Step-by-step explanation:

The correctly punctuated sentence is "The students line up in the afternoon to wait for the buses to arrive."

Punctuation is the use of proper spacing and punctuation marks to enchance the readability and understanding of a text.  

Types of punctuation marks:

The rules of using a comma in a sentence:

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Hey there!

ORIGINAL EQUATION

x + x + x = 56

CONVERT/COMBINE the LIKE TERMS

1x + 1x + 1x = 56
2x + 1x = 56

NEW EQUATION

3x = 56

DIVIDE 3 to BOTH SIDES

3x/3 = 56/3

SIMPLIFY IT by canceling out 3/3 because it give you 1 & KEEP 56/3 because help solve for the x-value (it also give you the x-value result)

x = 56/3

x = 18.666667

x = 18 2/3

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE ALL EQUIVALENT TO EACH OTHER

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:A

Step-by-step explanation:I took the test already trust me

Answer:

-14

Step-by-step explanation:

Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation:

Answer:

option 2

Step-by-step explanation:

2(x + 6) > - 6(x + 1) + 2 ← distribute the parenthesis on both sides

2x + 12 > - 6x - 6 + 2

2x + 12 > - 6x - 4 ( add 6x to both sides )

8x + 12 > - 4 ( subtract 12 from both sides )

8x > - 16 ( divide both sides by 8 )

x > - 2

the graph will have an open circle at - 2, with arrow pointing right

this is indicated in option 2

Answer:

approximately 83%

Step-by-step explanation:

Answer:

83%

So basically you take 12-2=10 and then do 10/12 and that = 0.83 and so 83% is the answer

Answer:=−7

no problem!

Answer:

x= -7

Step-by-step explanation:

3x+15=-2x-20

Step 1 move the variable (x)  to the left hand and change its sign

3x+2x+15=-20

Move the constant (15) and change it's sign

3x+2x=-20-15

5x=-20-15

5x=-35

Divide both sides by 5

x= -7

Answer:

Step-by-step explanation:

The correct answer is Volume.

Milliliter: Is a unit of volume for liquids and gases that is equal to a thousandth of a liter. This refers to Volume so Volume is correct!

Answer:

kinda lol

Step-by-step explanation:

Answer: i have watched harry potter but never read the book. and for star wars i have never read or watched it so your good <3

Step-by-step explanation:

The statements that are true of the diagram showing its exterior angles are: m∠5 + m∠6 = 180°; ∠ 2+ ∠ 3 = ∠6; and m∠2 + m∠3 + m∠5 = 180°

According to the exterior angle property of a triangle, each exterior angle of a triangle is equal to the sum of the opposite interior angles.

Let's consider a triangle ΔABC with exterior angles as ∠1, ∠4, and ∠6. Based on the exterior angle property of a triangle, we can state that:

for exterior ∠1, we have ∠1 = ∠5 + ∠3,

for exterior ∠4, we have ∠4 = ∠5 + ∠2,

for exterior ∠6, we have ∠6 = ∠2 + ∠3.

The triangle sum property states that the sum of the measures of angles in a triangle is 180°, so we can say that m∠2 + m∠3 + m∠5 = 180°.

Also, the linear pair property states that the measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees, which means that m∠5 + m∠6 = 180°.

Therefore, the answer is:

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Answer:

wdym???

Step-by-step explanation:

Answer:

D. distance

Step-by-step explanation:

really ? given the choices you needed help with that ?

only D makes sense. the rest is completely ridiculous and has nothing to do with driving from the house to the library.

Answer:

1) MN = 4

2) AC = 3√2

Step-by-step explanation:

Problem 1

\(a^2+b^2=c^2\\a^2+5^2=\sqrt{41}^2\\a^2+25=41\\a^2=16\\a=4\)

MN = 4

Problem 2

\(a^2+b^2=c^2\\a^2+12^2=(9\sqrt{2})^2\\a^2+144=81(2)\\a^2+144=162\\a^2=18\\a=\sqrt{18}\\a=3\sqrt{2}\)

AC = 3√2

The area of shaded portion is 42 cm²

Area of shaded region

Side of square ABCD = 14 cm

Radius of circles with centers A, B, C and D = 14/2 = 7 cm

Area of shaded region = Area of square - Area of four sectors subtending right angle

Area of each of the 4 sectors is equal to each other and is a sector of 90° in a circle of 7 cm radius. So, Area of four sectors will be equal to Area of one complete circle

So,

Area of 4 sectors = \(\pi r^2\)

Area of 4 sectors = \(\frac{22}{7}\) × 7 × 7

Area of 4 sectors = \(154 cm^2\)

Area of square ABCD = (Side)²

Area of square ABCD = (14)²

Area of square ABCD = 196 cm²

Area of shaded portion = Area of square ABCD - 4 × Area of each sector

= 196 – 154

= 42 cm²

Therefore, the area of shaded portion is 42 cm²

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The given question is incomplete, The complete question is:

In figure, ABCD is a square of side 14cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.

Answer:

45

Step-by-step explanation:

just had that q and sumbitted my quiziz and got it correct