A rectangular floor is 18ft long and 12 ft wide. Lamar wants to carpet the floor with carpet tiles sold by square yard. Use the facts to find the area in square yard

Given:

12x³ + 26x²divided by 3x + 2.

Required:

Use the long division method to find the result when 12x³ + 26x²

divided by 3x + 2.

Explanation:

First we gonna divide it by 4x square we left with the equation

Then we gonnna divide it by 6x we get

Then we gonna divide it with -9 and we get the whole term is dividedand we left with the quotient

Required answer:

The answer as a result of the numerical expression above is B) 1/36

This expression is rank number:

\(( {6}^{ - 4} ) {}^{ \frac{1}{2} } = 6 {}^{ - 2} = \frac{1}{ {6}^{2} } = \frac{1}{36}.

So the answer as a result of the numerical expression above is 1/36.

From these calculations it can be seen that the rank between what is inside the brackets and what is outside it can be multiplied.

In the question above the power of -4 multiplied by the power of ½ ( (-4×½) the result is -2.

So all that's left is 6⁻². Another form of 6⁻² is 1/6² or 1/36.

This refers to the exponential rule in mathematics, namely a⁻ⁿ can be written as 1/aⁿ.

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The revenue is maximized for a value p = 100, and the maximum revenue is:

R =  23,500

We know that the number of items sold for a prize p is:

-2.35p + 470

Then the revenue will be:

R = (-2.35p + 470)*p

So we need to find the value of p that maximizes that quadratic equation, we can see that the maximum will be at the vertex, then let's write:

R = -2.35p² + 470p

The vertex is at:

p = -470/(2*2.35)

p = 100

Finally, the maximum revenue is:

R =  -2.35*100² + 470*100

R = 23,500

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Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

k(x)=6x–12

18=6x–12

18+12=6x

30=6x

30/6=6x/6

x=5

i think it is clear answer.

The mean could be used to describe a data set by itself, while interquartile range would almost never be used to describe a data set by itself.

These are operations which are used to summarize certain characteristics a set of data has.

Mean and range deals with the full set of data while interquartile range measures just the middle half of the data and is denoted as option A.

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The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

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Answer:

A,D, and E

ur welcome

This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.

The total number of raffle tickets sold at the end of 9 years is approximately 9,818.  

To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.

Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.

Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4

Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92

Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666

Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)

Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56

The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.

The correct option is 9,818.

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Answer:

a) variable = X

N = 15

Mean = 50.0933

SE Mean = 1.58

StDev = 6.11

Variance = 37.3321

Sum = 751.40

b) 95% Confidence interval = (46.997, 53.190) = (47.00, 53.19)

Step-by-step explanation:

variable = X

N = ?

Mean = ?

SE Mean = 1.58

StDev = 6.11

Variance = ?

Sum = 751.40

To fill in the missing quantities, we need to use some of their formulas.

For N, the number of variables

SE = Standard Error of the mean = σₓ = (σ/√N)

σₓ = Standard Error of the mean = 1.58

σ = standard deviation of the sample = 6.11

N = sample size = ?

1.58 = (6.11/√N)

√N = (6.11/1.58) = 3.8671

N = 3.8671² = 14.954374299 = 15 to the nearest whole number.

For the Mean

Mean = (Sum of variables)/(Number of variables)

Mean = ?

Sum of variables = 751.40

Number of variables = N = 15

Mean = (751.40/15) = 50.0933333333 = 50.093

For Variance

Variance = (Standard deviation)² = (6.11)² = 37.3321

b) To compute the confidence interval.

idence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 50.0933

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the z-distribution. This is because although, there is no information provided for the population standard deviation, the sample size is large enough for the sample properties to approximate the population properties.

To find the critical value from the z-tables,

z at 95% confidence level = 1.960 (from the z-distribution tables)

Standard error of the mean = σₓ = (σ/√N)

Already calculated to be 1.58

95% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 50.0933 ± (1.960 × 1.58)

CI = 50.0933 ± 3.0968

95% CI = (46.9965, 53.1901)

95% Confidence interval = (46.997, 53.190) = (47.00, 53.19)

Hope this Helps!!!

The value of c in the variation is 625

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

This means that

a = kb²

a = k√c

So, we have

√c = b²

When b = 5, we have

√c = 5²

So, we have

c = 625

Hence, the value of c is 625

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Answer:

D.Climbs 34 1/4 feet

Step-by-step explanation:

-45.5 + 30 - 18.75 + h = 0

                                h = 34.25

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

Answer:

B

Step-by-step explanation:

1.sea surface to deck of sunken ship =24.7=29.5-4.8

2.zhip deck to ship deck =1.5 +24.7=26.2m

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:   \(\frac{1}{5}\)

Step-by-step explanation:

Males who got a C = 4

Total amount of people who got a C = 20

\(\frac{4}{20}\)

\(\frac{4}{20}\)  simplifies to  \(\frac{1}{5}\)

Based on the set of transformations for trapezoid ABCD, the location of point A after the transformations are complete is: D. (−5, 1).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A = (-5, 1)        →     Points A' = (-(-5), -(1)) = (5, -1).

Next, we would reflect the given point over the x-axis as follows;

(x, y)                           →              (x, -y)

Points A' = (5, -1)        →     Points A' = (5, -(-1)) = (5, 1)

Lastly, we would reflect the given point over the y-axis as follows;

(x, y)                           →              (-x, y)

Points A' = (5, 1)        →     Points A' = (-(5), 1) = (-5, 1)

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\(\dfrac{12}{\sqrt 2} + \sqrt{18}\\\\\\=\dfrac{12 + \sqrt{18 \times 2}}{\sqrt 2}\\\\\\=\dfrac{12+\sqrt{9 \times 4}}{\sqrt 2}\\\\\\=\dfrac{12+3 \times 2}{\sqrt 2}\\\\\\=\dfrac{18}{\sqrt 2}\\\\\\=\dfrac{18\sqrt 2}{\left(\sqrt 2\right)^2}\\\\\\=\dfrac{18\sqrt 2}2\\\\\\=9\sqrt 2\)

If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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The null hypothesis in the given question is 'the mean annual consumption of high fructose corn syrup by a person in the United States is 48.8 pounds' and the alternative hypothesis in the given question is 'the population standard deviation is 3.6 pounds.'

Population mean = 48.8 pounds

Sample size = 120

Sample mean = 49.5 pounds

Population standard deviation = 3.6

α = 0.05

The standardized statistic z is:

z = (Sample mean - Population mean) x (√n / standard deviation)

z = (49.5 - 48.8) x (√120/3.6)

z = 2.13

The standardized statistic P is:

P = 2 - 2 x Φ(z)

P = 2 - 2 x 0.983

P = 0.034

Since, the result we get is statistically significant. We reject the null hypothesis.

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Answer:

5

Step-by-step explanation:

Answer:

the answer is A im not sure tho

Step-by-step explanation:

if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8

there goes your answer.

Answer:

  -43/102

Step-by-step explanation:

You want the value of the given expression involving radicals and logs.

The relevant rules of logarithms and radicals are ...

  \(\log_b{(b^a)}=a\\\\\sqrt[n]{a^m}=a^{\frac{m}{n}}\)

The given expression can be simplified as follows.

  \(\dfrac{\log_3{\sqrt{243\sqrt{81\sqrt[3]{3}}}}}{\log_2{\sqrt[4]{64}}+\log{10^{-10}}}=\dfrac{\log_3{(3^5\cdot(3^4\cdot3^{\frac{1}{3}})^{\frac{1}{2}})^{\frac{1}{2}}}}{\log_2{2^{\frac{6}{4}}}+(-10)}\\\\\\=\dfrac{\log_3{3^{(5+13/6)(1/2)}}}{3/2-10}=\dfrac{43/12}{-17/2}=-\dfrac{2\cdot43}{12\cdot17}=\boxed{-\dfrac{43}{102}}\)

A suitable calculator can give you the same result.

Answer:

C

Step-by-step explanation:

Answer:

200 shirts x $30 = $6000

Total sales would be $6000

Profit = 6000 - 5400 = $600

Divide profit by cost:

600/5400 = 0.1111

Multiply by 100 for percentage:

0.111 x 100 = 11.1%

Rounding to nearest percent would be 11% markup

Answer:

is it 2.00?

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Hope it helps

The dimensions of the rectangle are 8 ft by 5.5 ft.

According to the statement,We have to find that the dimensions of the rectangles.

So, For this purpose, we know that the

A Rectangle may be a four sided-polygon, having all the interior angles adequate 90 degrees.

From the given information:The length of a rectangle is 3 ft but double the width, and therefore the area of the rectangle is 44.

Then

The formula for the world of a rectangle may well be a = L(length) × W(width)A = L × W

Plug in the information:A = 44, L = 2W - 3

b/c but means switch the order before subtracting, W = W

44 = (2W - 3)×W

44 = 2W² - 3W

And then

2W² - 3W - 44 = 0

so,

Factoring: (2W - 11)(W + 4) = 0

2W - 11 = 0 solves to W = 5.5

W + 4 = 0 solves to W = -4

So W = 5.5 and L = 2(5.5) - 3 = 8.

So, The dimensions of the rectangle are 8 ft by 5.5 ft.

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