A pole is located at point d on the plot land at a distance of 10 meters from AB and 5 meters from AC GIVE THE COORDINATES OF POINT D

The installing hardwood floors over a 1/2 inch thick plywood subfloor, it is recommended to use 2-inch L-shaped cleats with a flooring nailer. This will ensure that the hardwood planks are securely fastened to the subfloor and reduce the likelihood of squeaking or loose planks in the future.

When installing hardwood floors over a plywood subfloor, it is important to use the appropriate length of L-shaped cleats. The L-shaped cleats are nails used by a flooring nailer to attach the hardwood planks to the subfloor. In this case, the subfloor is a 1/2 inch thick plywood, while the hardwood planks are 3/4 inch thick.
The recommended length of L-shaped cleats to use when installing hardwood floors over a 1/2 inch thick plywood subfloor is 2 inches. This is because the 2-inch cleats will provide enough length to penetrate the subfloor and securely fasten the hardwood planks to the subfloor. Using shorter cleats may not provide enough grip and the hardwood floors may eventually become loose.
The flooring nailer shoots the L-shaped cleats in at a 45-degree angle, which helps to ensure that the cleats go in straight and do not damage the surface of the hardwood planks. It is important to use the appropriate length of cleats to avoid damaging the subfloor or the hardwood planks during installation.
In summary, when installing hardwood floors over a 1/2 inch thick plywood subfloor, it is recommended to use 2-inch L-shaped cleats with a flooring nailer. This will ensure that the hardwood planks are securely fastened to the subfloor and reduce the likelihood of squeaking or loose planks in the future.

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Answer:

it would be -20

Step-by-step explanation:

-14-6=-20

Answer:

AA similarity postulate

Step-by-step explanation:

MAN = BAC

ABC = AMN

Answer:

\(y = \frac{x - 4}{2} \\ 2y = x - 4 \\ 2y + 4 = x \\ x = 2y + 4 \\ thank \: you\)

The surface area of a cylinder is found using the following formula:

Replace for the given values of radius and height:

It means that the surface area of the cylinder is 622.

The correct answer is D. 622 sq units.

The probability that a test taker chosen at random takes 9 minutes or more to read the article is 0.38. Rounded to four decimal places, this is 0.3800.

To find the probability that a test taker chosen at random takes 9 minutes or more to read the article, we need to calculate the integral of the probability density function f(t) from 9 to 10 (since t is between 0 and 10).
∫(9 to 10) 0.012t^2 − 0.0012t^3 dt
Using the power rule of integration, we get:
[0.004t^3 - 0.0003t^4] from 9 to 10
Substituting the limits, we get:
[0.004(10)^3 - 0.0003(10)^4] - [0.004(9)^3 - 0.0003(9)^4]
Simplifying, we get:
0.38

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Answer:

48 ft 2

Step-by-step explanation:

The radius is 4 ft because it is half of the diameter.

3 * 4^2 = 3 * 16 = 48

Total commission earned by Terrence Mcgraw is Rs.1440

Given that,

Total sale = Rs.18000

Commissions = 4% on 5000

                          8% on next 8000

                          12% on remaining

Now,

commission on first 5000 = 4% of 5000

                                           = 4/100 * 5000

                                           = 200

commission on next 8000 = 8% of 8000

                                            = 8/100 * 8000

                                            = 640

commission on the remaining = 12% of 5000

                                                  = 12/100 * 5000

                                                  = 600

Therefore the total commission is 200+640+600 that is 1440.

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Answer:

a

Step-by-step explanation:

Answer:

Explanation:

Here, we want to rewrite the given expression

What we have to do is to start by opening up the bracket

To do this, we have to multiply the term on the left with each term inside the bracket

Then we collect the like terms and perform the necessary arithmetic operation

We have this as follows:

Answer:

68y-42

Step-by-step explanation:

7(9y+2y-6)-9y

Find the expression in simplest terms

Combine like terms

7(11y-6)-9y

Distribute

77y -42-9y

Combine like terms

68y-42

Theory X assumes that employees are inherently lazy, dislike work, and need to be closely monitored and controlled. On the other hand, Theory Y suggests that employees are self-motivated, enjoy work, and can be empowered to take ownership of their tasks.

Theory X represents a traditional management approach where managers believe that employees need constant supervision and external motivation. According to this theory, employees are inherently lazy and will avoid work if given the chance. They require strict rules, close monitoring, and a system of rewards and punishments to perform their duties effectively.

In contrast, Theory Y promotes a more modern and participative management style. It assumes that employees are self-motivated, seek responsibility, and are capable of making meaningful contributions to the organization. Under Theory Y, managers trust their employees, empower them to make decisions, and provide opportunities for growth and development.

These two theories highlight the different assumptions and approaches that managers can adopt when it comes to understanding and managing their employees. Theory X focuses on control and supervision, while Theory Y emphasizes trust, empowerment, and employee engagement. The choice between these theories can significantly impact the management practices and organizational culture within a company.

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The main difference between theory X and theory Y lies in their assumptions about employee motivation and management approach. Theory X assumes that employees are inherently lazy and need to be closely supervised, while Theory Y assumes that employees are self-motivated and can be trusted to take responsibility.

Theory X and theory Y are two contrasting management theories proposed by Douglas McGregor in the 1960s. These theories describe different assumptions about employees' attitudes towards work and their management.

Theory X:

Theory Y:

Overall, the main difference between Theory X and Theory Y lies in their assumptions about employee motivation and management approach. Theory X assumes a more controlling and authoritarian approach, while Theory Y promotes a more participative and empowering management style.

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The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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Answer:

Yes. When you multiply a fraction by 3.14, the results will be a rational answer.

Step-by-step explanation:

Let's look at some examples. The fractions we are going to be using are \(\frac{1}{2}\) , \(\frac{3}{4}\) , and \(\frac{7}{8}\)

We are going to multiply these fractions by 3.14 and prove that when you multiply a fraction by 3.14, your results will be rational.

Ex. 1

\(\frac{1}{2}*3.14 = 1.57\)

Ex. 2

\(\frac{3}{4}*3.14=2.355\)

Ex. 3

\(\frac{7}{8}*3.14=2.7475\)

So, based on these fractions, then we can conclude that when you multiply a fraction by 3.14, then your answer will be rational.

The value of x for the given expression is;

x = -5/9

We are given the expression;

2x(x + 3) = (x + 1)(2x - 5)

Let us expand the brackets to get;

2x² + 6x = 2x² + 2x - 5x - 5

2x² + 6x = 2x² - 3x - 5

From this, 2x² is common to both sides and will cancel out to give;

6x = -3x - 5

Using addition property of equality to add 3z to both sides to get;

6x + 3x = -3x - 5 + 3x

9x = -5

Use division property of equality to divide both sides by 9 to get;

x = -5/9

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Answer:

\(\bf x=-\cfrac{5}{9}\)

\(\bf =-0.555...\)

Step-by-step explanation:

\(\bf 2x\left(x+3\right)=\left(x+1\right)\left(2x-5\right)\)

Expand (Distributive property):-

\(\bf 2x^2+6x=2x^2-3x-5\)

Subtract 2x²-3x from both sides:-

\(\bf x^2+6x-\left(2x^2-3x\right)=2x^2-3x-5-\left(2x^2-3x\right)\)

Simplify:-

\(\bf 9x=-5\)

Divide both sides by 9:-

\(\bf \cfrac{9x}{9}=\cfrac{-5}{9}\)

Simplify:-

\(\bf x=-\cfrac{5}{9}\)

______________________

Hope this helps!

Have a great day!

An average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.

To determine the number of people who are stepping onto the roller coaster per minute at peak time, you need to divide the number of people on the roller coaster by the duration of the ride. Hence, the correct option is B) 6.

To be more specific, this means that at peak time, an average of 3 people is getting on the ride per minute. This is how you calculate it:

Number of people per minute = Number of people on the roller coaster / Duration of the ride

Number of people on the roller coaster = 24

Duration of the ride = 8 minutes

Number of people per minute = 24 / 8 = 3

Therefore, an average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.

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The Maclaurin series is a special case of a Taylor series expansion, where the function is approximated by a power series centered at zero (or the origin). It provides an approximation of a function using its derivatives evaluated at zero.

To find the Maclaurin series for the function \(\(f(x) = x^2e^x\)\) we need to take its derivatives at 0 repeatedly. We then find that the Maclaurin series is:

\($$f(x) = \sum_{n=0}^{\infty}\frac{x^{n+2}}{n!}$$\)

Hence, the first five non-zero terms of Maclaurin series for the given function f(x) are given as:

\(\[f(x) = x^{2} e^{x}\]\)

The first five non-zero terms of Maclaurin series are:

\(\[\sum_{n=0}^{\infty}\frac{x^{n+2}}{n!} = x^2 + x^3 + \frac{x^4}{2!} + \frac{x^5}{3!} + \frac{x^6}{4!}\]\)

Therefore, the Maclaurin series for the given function is:

\(\[f(x) = x^2 + x^3 + \frac{x^4}{2!} + \frac{x^5}{3!} + \frac{x^6}{4!}\]\)

The radius of convergence of the above Maclaurin series is infinity since the function is an entire function, which means it is holomorphic everywhere in the complex plane.

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Answer:

Step-by-step explanation:

Answer:

The brain of the newborn baby has a mass of about 377 grams.

Step-by-step explanation:

Fractions are written as a ratio of two integers. For instance, a/b is a fraction.

Given the following parameters

Body mass = 2900 grams.

If the Brain mass of a newborn baby is about 13% of the mass of the newborn, then the mass of the brain is given as;

mass of brain = 13% of 2900

Mass of brain = 0.13 * 2900

Mass of brain = 377grams

Answer:

Think

Step-by-step explanation:

4x - 6 + 2x = 18

You are solving for x so obviously you have to have your x variable on one side of the equal sign by itself.

So how do you do that? Combine the same calues together and seperate the rest

4x + 2x = 6x

6x = 18 + 6

6x = 24

x = 3

Practice practice practice. Simple stuff. You got this!

Answer:

A. x = 4

Step-by-step explanation:

To answer this question, we first have to combine like terms:

4x - 6 + 2x = 18

6x - 6 = 18

Now, we take away 6 from the left side and add it to the right side:

6x - 6 = 18

     +6   +6

6x = 24

Then, we isolate the variable:

6x = 24

/6     /6

x = 4

Hope this helps :)

Answer:

17,500,000 cm.

Step-by-step explanation:

3.5cm(5,000,000 years) = 17,500,000

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$439.23\\ P=\textit{original amount deposited}\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.1\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}\)

\(439.23=P\left(1+\frac{0.1}{1}\right)^{1\cdot 4}\implies 439.23=P(1.1)^4 \\\\\\ \cfrac{439.23}{1.1^4}=P\implies 399.3=P\)

The correct statements are:

b. The population variances for each of the cells should be equal (i.e., there is homogeneity of variance).

c. The populations from which the samples are taken for a two-way ANOVA must be distributed normally.

In a two-way ANOVA, there are several assumptions that need to be met for valid statistical inference. Two of these assumptions are the equality of population variances and the normal distribution of populations.

b. The assumption of homogeneity of variance states that the population variances for each combination of levels of the two factors in a two-way ANOVA should be equal. Violation of this assumption can lead to biased results and affect the validity of the statistical test.

c. The assumption of normality states that the populations from which the samples are taken should follow a normal distribution. This assumption is important because the validity of the F-test used in ANOVA is based on the assumption of normality. Departures from normality can impact the accuracy and reliability of the results.

a. The statement in option (a) is not true. The two-way ANOVA is not robust to violations of the assumptions of sampling from normal distributions and homogeneity of variance, even if the samples are of equal size. Violations of these assumptions can lead to inaccurate and unreliable results.

d. The statement in option (d) is also not true. If the assumptions of a two-way ANOVA are violated, it does not necessarily mean that the researcher should conduct two separate one-way ANOVAs. There are alternative non-parametric tests or robust ANOVA methods that can be used in such cases. The choice of appropriate statistical analysis depends on the nature of the data and the specific research question.

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Roger has enough stainless steel pipe to replace the chimney liner, with a slight surplus remaining.

To determine if Roger has enough stainless steel pipe for the chimney liner, we need to convert the given measurements to a consistent unit of measurement. Since the length of the liner required is given in feet, we need to convert the 400 inches of stainless steel pipe to feet.

There are 12 inches in a foot, so 400 inches is equal to 400/12 = 33.33 feet (approximately).

Comparing this converted length of the stainless steel pipe (33.33 feet) with the length of the liner required (33 feet), we can see that Roger does indeed have enough pipe. In fact, he has slightly more than required.

Since the length of the liner required is 33 feet and Roger has 33.33 feet of stainless steel pipe available, there is a surplus of approximately 0.33 feet (about 4 inches) of pipe. This additional length is more than enough to cover any potential measurement errors or adjustments needed during the installation process.

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The rectangle with the required coordinates is drawn in the graph below.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

The two vertices of the rectangles are given.

A(-4, 4) and B(4, 4).

Distance between these two points will be the length of the rectangle.

Distance between two points (x, y) and (x', y') is,

d = √[(x' - x)² + (y' - y)²]

Length of the rectangle = √(4 - -4)² + (4 - 4)² = √8² = 8 units

Given that, perimeter of the rectangle = 20

Perimeter of a rectangle = 2 (l + w), where l is length and w is width.

2 (8 + w) = 20

8 + w= 20 / 2

8 + w = 10

w = 10 - 8

w= 2 units

Coordinates of C = (4, 4 - 2) = (4, 2)

Coordinates of D = (-4, 2)

Hence the coordinates of the rectangle ABCD are A(-4, 4), B(4, 4), C(4, 2) and D(-4, 2).

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Answer: 900.98

Step-by-step explanation:

the price of the laptop is 849.99

we have to add 6 percent tax

(849.99*6)/100=50.99

the total price will be 849.99+50.99=900.98

Answer:

Step-by-step explanation:

$849.99 laptop with 6% sales tax

The 6 precent sales tax  is 1.06p

p is the price before tax

p is $849.99

849.99*1.06=900.9894 which when rounded to cents is $900.99

Answer: 25% off

Step-by-step explanation:

1= 0.25 + 0.75

25% is off is the equivalency of multiplying the value of the original cost with 0.75.

20*0.75=15

The estimated height of the plant in 555 days will be 27.5 cm.  We can calculate it in the following manner.

Since, as stated in the question,

When t days have passed from today, the plant's height,

f(t) = 1.5 t + 20

t = 5 for 5 days.

So, f(5) = 1.5 5 + 20 = 7.5 + 20 = 27.5 The estimated height of the plant in 555 days from today is 27.5 cm.

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Step-by-step explanation:

x = original price

first I show you the line of thinking and why the short approach at the end would work.

100% = x

1% = 100%/100 = x/100

25% = 1% × 25 = x/100 × 25 = x/4

but careful, these 25% are not the sale price, they are only the discount.

so, the sale price is actuality 100% - 25% = 75% of the original price.

so, we need actually

75% = 3×25% = 3x/4

and now we can solve :

40 = 3x/4

3x = 160

x = 160/3 = 53.333333... ≈ $53.33

FYI - the short, direct method is simply to divide by the percent factor.

x = 40 / 75/100 = 40/0.75 = 53.333333...

if you compare it with the long form and think it through, you will see why this works.

let me know if you need any further explanations.