The mural in the art gallery is 7 meters tall. It's 69 centimeters taller than the marble sculpture. How tall is the sculpture?

Answer:

the graph below

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer:

\( \boxed{ \tt{0}}\)

Step-by-step explanation:

\(if \: mº - {n}^{2} \: for \: m = 2 \: and \: n = -1. \\ {2}^{0} - ( { - 1)}^{2} = 1 - (1) = 0\)

Answer:

400,000

Step-by-step explanation:

➟ 10 × 4 ten thousand

Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000

➟ 10 × 40,000

➟ 400,000

Answer:

(a) 167

(b) 7

(c) 97

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean μ is:

\(CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)

The margin of error is:

\(MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)

Then the formula to estimate the sample size is:

\(n=[\frac{z_{\alpha/2}\cdot \sigma }{MOE}]^{2}\)

(a)

For 99% confidence interval the critical value of z is:

z = 2.58.

The standard deviation is, 250.

Compute the sample size as follows:

\(n=[\frac{z_{\alpha/2}\cdot \sigma }{MOE}]^{2}\)

   \(=[\frac{2.58\times 250}{50}]^{2}\\\\=(12.9)^{2}\\\\=166.41\\\\\approx 167\)

The sample size that should be used is 167.

(b)

Now the standard deviation is, 50.

Compute the sample size as follows:

\(n=[\frac{z_{\alpha/2}\cdot \sigma }{MOE}]^{2}\)

   \(=[\frac{2.58\times 50}{50}]^{2}\\\\=(2.58)^{2}\\\\=6.6564\\\\\approx 7\)

The sample size that should be used is 7.

(c)

Now a 95% confidence level is used.

For 95% confidence interval the critical value of z is:

z = 1.96.

Compute the sample size as follows:

\(n=[\frac{z_{\alpha/2}\cdot \sigma }{MOE}]^{2}\)

   \(=[\frac{1.96\times 250}{50}]^{2}\\\\=(9.8)^{2}\\\\=96.04\\\\\approx 97\)

The sample size that should be used is 97.

The value of p when q is 2 is 1

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means that has x increases y will decrease and vice versa.

If p is inversely proportional to q , then p = kq

when p = 2, q = 4

2 = k4

k = 2/4

k = 1/2

When q = 2

p = 1/2 × 2

p = 1

Therefore the value of p is 1

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The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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All three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

To calculate the contributions to GDP of the given transactions, we can use the three approaches: the expenditure approach, income approach, and production approach. Let's calculate the GDP using each approach and demonstrate that they give the same answer.

Expenditure Approach:

GDP is calculated as the sum of all final expenditures. In this case, the final expenditures are the sales of the supercomputers.

GDP = Sales of supercomputers

= (3 * AED1,000,000) + (1 * AED800,000)

= AED3,800,000 + AED800,000

= AED4,600,000

Income Approach:

GDP can also be calculated by summing up all the incomes earned during production. In this case, the incomes include wages, interest, and taxes.

GDP = Wages + Interest + Taxes

= (Labour costs for ABC + Labour costs for Jumbo) + (Interest on debt for ABC) + (Taxes for ABC + Taxes for Jumbo)

= (AED1,000,000 + AED200,000) + AED100,000 + (AED200,000 + AED100,000)

= AED1,200,000 + AED100,000 + AED300,000

= AED1,600,000

Production Approach:

GDP can also be calculated by summing the value added at each stage of production. In this case, the value added is the sales price minus the cost of components purchased.

GDP = Sales price of supercomputers - Cost of components

= (3 * AED1,000,000) + (1 * AED800,000) - (4 * AED500,000)

= AED3,000,000 + AED800,000 - AED2,000,000

= AED1,800,000

As we can see, all three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

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Answer:

\(\frac{29}{6}\)

Step-by-step explanation:

Multiply the denominator by the whole number.

6 × 4 = 24

Add the answer from step 1 to the numerator.

24 + 5 = 29

Write answer from step 2 over the denominator

\(\frac{29}{6}\)

The finance charge for the month of August is $4.93.

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

The starting balance from the previous month is $270.

The transactions on the account for the month are given in the table to the right.

Assume an annual interest rate of 19% on the account and that the billing date is August 1st.

After finding the balance outstanding each day, we sum it up.

And get the average as $305.4839

Now we find the average balance by dividing it by 31 days of the August month.

Average balance = $305.4839

Finance charge = $305.4839  x19 x 31/365 days

Finance charge = $4.929589

Finance charge = $4.93

Therefore, the Finance charge = $4.93.

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1. 12

2. 28

3. 44

This is because when you multiply 4. It also increases the number when you multiply 7.

Answer:

Multiply the first numbers by three and then keep multiplying :)

Step-by-step explanation:

Answer:

s = √77

it is not rational since 77 not a perfect square

Step-by-step explanation:

area = s^2 = s * s = 77

==> s = √77

Answer:

Amish driving buggies and using horses and mules instead of tractors

Step-by-step explanation:

Answer: A cubic polynomial function has the form f(x) = ax^3 + bx^2 + cx + d.

A horizontal tangent line is a line that is parallel to the x-axis and it occurs at a critical point of the function, where the derivative of the function is 0.

We know that a cubic function has 3 critical points and thus 3 derivative that could be 0, so to find the equation of the cubic function we will use these two points to find the value of a, b, c, and d.

We know that the critical points of a cubic function are found by solving f'(x) = 0, where f'(x) is the derivative of the function, so we have:

f'(x) = 3ax^2 + 2bx + c = 0

Now we can use the two points to find the value of a, b, c, and d.

We know that the point (1,-2) is on the graph of the function, so we can substitute it into the equation to find d:

f(1) = a + b + c + d = -2

And we know that the point (-1,2) is on the graph of the function, so we can substitute it into the equation to find d:

f(-1) = -a + b - c + d = 2

Now we can use these two equations to find the value of a, b, and c:

a + b + c + d = -2

-a + b - c + d = 2

2a + 2d = 0

a = -d

-a + b - c + d = 2

b - c = 4

3ax^2 + 2bx + c = 0

3(-d)x^2 + 2bx - c = 0

Now we can use these equations and the critical points to find the value of a, b, c, and d

3(-d)x^2 + 2bx - c = 0, (1,-2) => 3d+2b-c = 0

3(-d)x^2 + 2bx - c = 0, (-1,2) => 3d-2b+c = 0

b-c = 4

Solving these equations, we have:

a = -1/3

b = 1

c = -5/3

d = -2

And the equation for the function is:

f(x) = -1/3x^3 + x^2 - 5/3x - 2

We can now sketch the graph of the function by using the information that we have. The cubic function will have an vertex of symmetry at (0,-2) and two horizontal tangent lines at (1,-2) and (-1,2) .

Since a < 0, the function is concave down, so the graph will be opened downwards and will have a local minimum at (0,-2) .

It is important to note that this is one possible equation for a cubic function that has horizontal tangent lines at (1, −2) and (−1, 2), but there may be other possibilities.

Step-by-step explanation:

Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

The system of inequalities graphically is given above.

One possible solution is (8.8, 5.2).

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

x =  represents the number of hours walking dogs.

y =  represents the number of hours clearing tables.

Now,

$6 per hour = walking dogs and making

$11 per hour = clearing tables.

Now,

No more than 14 total hours and must earn no less than $110.

We can make two inequalities.

x + y ≤ 14

6x + 11y ≥ 110

The graph is given below.

The intersection point from the graph is the one solution.

i.e

(8.8, 5.2)

or

x + y = 14

x = 14 - y

Substituting in 6x + 11y = 110.

6 (14 - y) + 11y = 110

84 - 6y + 11y = 110

5y = 110 - 84

5y = 26

y = 5.2

And,

x = 14 - 5.2

x = 8.8

Thus,

The system of inequalities graph is given above.

(8.8, 5.2) is the solution.

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Answer:

Step-by-step explanation:

A) Commission = 2450 shillings * 25 % = 2450 shillings * (25/100) = 2450 shillings * (0.25) = 612.50 shillings

Commission = 612.50 shillings

B) If the total sale is 2,450.00 shillings, after the seller gives buyers a 2% discount. We must re-enter the discount:

2,450.00 shillings = X - X * 2% = X - 0.02 X --->

------> 0.98 X = 2,450.00 shillings

------>X= 2,450.00 / 0.98

------> X = 2,500.00  shillings

NEW COMMISSION = 2,500.00 shillings * 25 % = 2,500.00 shillings *(25/100) =2,500.00 shillings * (0.25) = 625 shillings

NEW COMMISSION = 625 shillings

The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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Answer:

TRUEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

Answer:

They are collinear if they are on the same line

ok

( - infinity , 1)

done

Answer:

5.5

Step-by-step explanation:

0.4x = 2.2

x = 5.5

Answer:

50

Step-by-step explanation:

because forty is eighty percent of 50

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer:

Step-by-step explanation:

=0.000002x10−3

symbolab the calculator will help you with the steps and answer