Louis wants to carpet the rectangular floor of his basement. The basement has an area of 2,000 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?

Answer:

7

Step-by-step explanation:

as x is 1

3x added 10 -3*1 add 10 -3 add 10 = 7 as it is is sign - and add the ans will be 7

To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.

To find g(-2), substitute -2 for x in the equation

g(x) = -4x² - 5x + 9 to get

g(-2) = -6 + 9g(-2)

We are given three functions as follows:

f(x) = (1/3)x - 5, g(x)

= -4x² - 5x + 9, and

h(x) = 1/(x - 8) + 3.

We are asked to find g(-2), which is the value of g(x) when x = -2.

Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get

g(-2) = -4(-2)² - 5(-2) + 9.

This simplifies to g(-2) = -16 + 10 + 9 = -6.

Hence, g(-2) = -6.

The value of g(-2) is -6.

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Answer: Please see explanation column for answers

Step-by-step explanation:

When a number  divides into another number without a remainder, it s called a factor of that number.  Lets say we want to  find the common factors of two numbers, we get the  factors of each one and  compare them. The common factor is the one that is found in both lists

While The Highest common factor, is the highest factor number found in both lists.

b) 2b , 3b

Factors of 2b= 1, 2 and b

Factors of 3b=1, 3 and b

Common factors =1 and  b

HCF=1b

e) 5bc, 2c2, 3cd

Factors of 5bc=  1, 5, b, c

Factors of 2c2= 1,  2, c, c2

Factors of  3cd= 1, 3, c, d

Common factors = 1 and c

HCF= 1c

f) 4a2b, 8b2c, 6bcd

Factors of 4a2b=  1, 2, 4, a, a2, b

Factors of 8b2c= 1, 2, 4, 8, b, b2, c

Factors of  6bcd= 1, 2,3,6, b, c,d

Common factors = 1, 2 , b

HCF=  2b

Answer:

I think the answer is A

1,2

Part A: The  inequality to find the possible number of students, n, who ate the school lunch n > 542 students

Part B: The number of students, that possibly eat lunch at school is 542 or more students

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Part A; The number of students who bring lunch, B > 485 students

The number of students who eat lunch in school, E = B + 57

∴ E > 485 + 57

The number of students who can possibly eat lunch in school;

E > 542 students

Part B;

The number of students, n, that possibly eat lunch at school, are;

n = 542 or more students.

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Answer:

23. perpendicular

24. parallel

Step-by-step explanation:

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Answer:

C) 10 hours

Step-by-step explanation:

(2.5/200)(800) = 10

The estimated standard error for a sample of n = 9 scores with ss = 288 is 2. Among your choices, it should be B; s2 = 36 and sM  = 2.

Hope that helps!

The growth factor b can be determined from the growth rate; r by the formula; b = ( 1 + r/100).

Often time, when the growth rate, r in an exponential growth situation. The growth rate is expressed as a percentage, r%.

Hence, to determine the growth factor given the growth rate, r; we must use the formula;

b = ( 1 + r/100).

Ultimately, the correct formula is; b = ( 1 + r/100).

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1. The estimated mass of Sulfamic acid (H2NSO3H) required for standardizing a base titrant using 50.00 ml is approximately 4.855 grams. 2. The percent error in the standardization procedure of HCl, with a titer of 3s2.50 ml and a target concentration of 0.1250 N, is 2000%. 3. To prepare a 500 ml solution of 0.2500 N sodium hydroxide (NaOH) from concentrated NaOH, the volume of concentrated NaOH required depends on its concentration, which is not provided.

1. To estimate the mass of Sulfamic acid (H2NSO3H) required for standardizing the base titrant, we first convert the given volume of 50.00 ml to moles by using the concentration. Assuming the concentration is 1 M, the moles can be calculated as 0.05000 L * 1 M = 0.05000 moles. Multiplying this by the molecular weight (97.1 g/mol) gives us the estimated mass of approximately 4.855 grams.

2. The percent error in the standardization procedure of HCl is calculated by comparing the observed value (titer) with the target value (0.1250 N). The titer given as 3s2.50 ml suggests that it is an average of three measurements. Dividing 3s2.50 ml by 3 yields an observed value of 2.50 ml. Using this, the percent error is calculated as\(\frac{2.50 ml - 0.1250 N}{0.1250 N} * 100\)= 2000%. The high percent error indicates a significant deviation from the target concentration.

3. To prepare a 500 ml solution of 0.2500 N sodium hydroxide (NaOH) from concentrated NaOH, the required volume of concentrated NaOH depends on its concentration, which is not provided in the given information. Assuming the concentration of the concentrated NaOH is C M, the number of moles required can be calculated as 0.2500 N * 0.5000 L = 0.1250 moles. Using the equation C * V1 = 0.1250 moles, where V1 represents the volume of concentrated NaOH required, we can rearrange it to V1 = \(\frac{0.1250 moles}{C}\). However, without the actual concentration value, we cannot determine the volume accurately. After determining the volume of concentrated NaOH required, it can be diluted with an appropriate volume of solvent, usually water, to reach the desired final volume of 500 ml.

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The complete question is: If you want to standardize a base titrant using Sulfamic acid, H2NSO3H,

1. what is your estimated mass if you want to use only 50.00 ml of that titrant? Molecular weight is 97.1 g/mol.

2. If the titer during the standardization procedure of HCl is 3s2.50 ml by using 0.2115 grams of sodium carbonate as its standard, what is the percent error if the target concentration is 0.1250 N?

3. If the titrant needed in the titration is 0.2500 N sodium hydroxide, how will you prepare a 500 ml from concentrated NaOH?

Answer:

3,850

Step-by-step explanation:

have a good day!!

As the cuboid has six rectangular faces, the total surface area of the cuboid is calculated as follows: Assume that, l, w, h be the length, width, and height of the cuboid respectively. Therefore, the total surface area of the cuboid is 2 (lh + lw+ hw) square units.

Answer:

C

Step-by-step explanation:

Just took the quiz

Based on the graphed values of f(x) and independent variable x, the graph shows that C. k is greater than zero.

We have a c value of -1 which is where the y axis is intercepted.

We know that k isn't zero because the x and y values are not the same. We can also tell that k is not less than 0 because if it was, the f(x) for the smaller x value would lead to a larger f(x) value.

The only logical conclusion therefore, is that k is greater than zero.

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Answer:

D

Step-by-step explanation:

(4/5)x*5=8*5

4x=40

4x/4=40/4

x=10

To calculate the number of seconds you have been alive if you are currently 34 years old, we can convert years to seconds.

There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. Assuming there are 365.25 days in a year (accounting for leap years), we can calculate the number of seconds in a year as follows:

1 year = 365.25 days * 24 hours * 60 minutes * 60 seconds = 31,536,000 seconds.

Now, to find the number of seconds you have been alive, we can multiply the number of years (34) by the number of seconds in a year:

34 years * 31,536,000 seconds/year = 1,072,224,000 seconds.

Therefore, if you are currently 34 years old, you have been alive for approximately 1,072,224,000 seconds.

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Answer:

the correct answer is true

The solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

To solve the equation 3.3 + 4x = -6.9x + 6.6, we need to isolate the variable x on one side of the equation.

First, let's simplify the equation by combining like terms:

3.3 + 4x = -6.9x + 6.6

Next, let's move the variable terms (4x and -6.9x) to one side and the constant terms (3.3 and 6.6) to the other side:

4x + 6.9x = 6.6 - 3.3

Combine the x terms on the left side:

10.9x = 3.3

Now, divide both sides of the equation by 10.9 to solve for x:

x = 3.3 / 10.9

Using a calculator, we can find the decimal approximation of x:

x ≈ 0.3028

Rounding to the nearest tenth, the solution to the equation is x ≈ 0.3.

In summary, the solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

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Funsters inc. , the largest toy company in canada, sells its most popular doll for $35. It has just learned that its leading competitor toysorama is mass producing an excellent copy and plans to flood the market with their $10 doll in 6 weeks. Funsters should increase the supply of its doll now before the other doll hits the market.

1. Addressing Customer Needs

Often business competition motivates brands and businesses to meet customer needs, vying to be more effective than their competitors. This encourages brands to develop an understanding of audience needs.

This competition resulted in a focus on meeting customer needs including higher quality products, increased service value, and increased customer satisfaction.

2. Analyze Strengths and Weaknesses

Business competition can drive an evaluation of strengths and weaknesses, as well as optimizing sales strategies based on these findings. This enables a business to maximize resources, make informed decisions about marketing and sales strategies, and tailor offerings according to their strengths.

3. Increasing Demand

Business competition is an effective way to increase demand for a product or service. As more companies invest in their marketing and advertising efforts, the consumer demand for their products and services may increase as brand awareness increases.

3. Encouraging Innovation

In order to gain an advantage in the market, business competition can drive to innovate strategies and improve their products or services in creative ways. This is an important contribution to continuously improving the quality of goods and services, advancing product and service technology, and adapting to changing consumer needs.

4. Show Excellence

A business often tracks and analyzes competitors' performance to gain insight into their business strategy. By studying competitors' tactics, a business will be able to demonstrate their superiority in the market. So that many businesses can develop strategies that will result in success.

5. Promoting Business

Continuous business development can be an important factor in long-term success. Business competition is often challenging to continue to increase brand awareness, promote, analyze success, and develop new methods to achieve even bigger goals.

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The expected loss per game is approximately -$0.31.

The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:

1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).

2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).

3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)

4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2))  +  (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)

Your expected loss per game is approximately -$0.31 (rounded to two decimal places).

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The n 1/2 of the se 1/4 of the sw 1/4 and the ne 1/4 of the sw 1/4 of Section 19 contains 40 acres.

The method used for land surveying is called the government rectangular survey system.

This system is commonly known as the Public Land Survey System (PLSS) of the United States. It is based on a grid network. The grid is formed with meridians and baselines.

The meridians are the imaginary lines running north to south, and the baselines are the imaginary lines running east to west. The meridians and baselines are named as ranges and townships, respectively.

Each range is 6 miles wide and numbered consecutively, beginning with the one on the far west side of the state. The townships are numbered from 1 to 36, in sequence, beginning at the southeast corner of the state. The government rectangular survey system divides the land into smaller units as follows:

Each township is further divided into 36 sections, each section is one square mile, or 640 acres.

Each section is further divided into halves, or 320 acres, and each half is divided into quarters, or 160 acres, and each quarter is divided into quarters again, or 40 acres.

Finally, each 40-acre parcel is divided into quarters, or 10 acres.

Therefore, the n 1/2 of the se 1/4 of the sw 1/4 and the ne 1/4 of the sw 1/4 of section 19 contains 40 acres.

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1.242 ≤ d ≤ 1.305 is the corresponding interval for the diameter of the washer.

Given that,

Company A makes and sells a washer having a 4-centimeter outer radius. The corporation has decided on a washer with an actual radius in the range of 3.9 ≤ C ≤ 4.1.

Inequality is defined as the connection of an equation having the symbol ( ≤, ≥, <, >) in place of the assignment operator.

Here,

C = 3.14d

Given inequality,

3.9 ≤ C ≤ 4.1

3.9 ≤ 3.14d ≤ 4.1

dividing both sides of the inequality by 3.14,

1.242 ≤ d ≤ 1.305

As a result, the needed matching spacing for the washer's diameter is 1.242 ≤ d ≤ 1.305.

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Answer:

17.7 meters

Step-by-step explanation:

x = 30

15 + 0.09*30

0.09*30 = 2.7

2.7 + 15 = 17.7 meters

Answer:

It is a tetrahedron.

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer:

∅ = 90°

Step-by-step explanation:

Given;

sin2∅=2sin∅

sin2∅ = 2sin∅Cos∅

but, Sin²∅ + Cos²∅ = 1

       Cos²∅ = 1 - Sin²∅

       Cos ∅ = √(1 - Sin²∅)

sin2∅=2sin∅ ↓

2sin∅Cos∅ = 2sin∅

2sin∅(√(1 - Sin²∅)) = 2sin∅

Let Sin∅ = P

2P( √(1 - P²)) = 2P

Divide both sides by 2P

√(1 - P²) = 1

Square both sides

1 - P² = 1

P² = 1 - 1

P² = 0

P = 0

Recall, Sin∅ = P

Sin∅ = 0

∅ = Sin ⁻¹(0)

∅ = 90°

Answer:

Yes they are in proportion because after being divided, they are equal.

Step-by-step explanation:

15 : 60 =

1 : 4

40 : 160

1 : 4

Answer:

Yes

Step-by-step explanation:

Calculate 60/15=4

160/40=4,

so the proportion is same.

The conditions for a sampling distribution of a sample mean, when you know the true involve random sampling, independence, and a large enough sample size.

The conditions for a sampling distribution of a sample mean, when you know the true mean, are as follows:

1. Random Sampling:

The samples should be selected randomly from the population to ensure that they are representative of the entire population.

2. Independence:

Each sample should be independent of the others.

This means that the outcome of one sample should not influence the outcome of another sample.

3. Sample Size:

The sample size should be large enough to ensure that the sampling distribution approximates a normal distribution.

In general, a sample size greater than 30 is considered sufficient.

Random sampling is important because it helps to minimize bias and ensure that the sample is representative of the population.

Independence is necessary to avoid any potential confounding factors that may influence the results.

Lastly, a sufficiently large sample size is needed to satisfy the central limit theorem, which states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution.

These conditions are important to ensure the validity and reliability of the statistical analysis.

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b. If this study were to be repeated with a sample of the same size, there is a 95% probability that the sample proportion would be between 0.20 and 0.27.

ung adults who skip breakfast is between 0.20 and 0.27.

The correct interpretation of the 95% confidence interval is c. We can be 95% confident that the proportion of young adults who skip breakfast is between 0.20 and 0.27.

This  means that if we were to repeat the study multiple times, we would expect 95% of the resulting confidence intervals to contain the true proportion of young adults who skip breakfast.

It  does not mean that there is a 95% probability that the true proportion falls between 0.20 and 0.27 (option a) since the true proportion either is within that range or it is not. Also, the confidence interval is about the population parameter (the proportion of young adults who skip breakfast), not the sample statistic (the sample proportion) as stated in option b.

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