A lean-to is a shelter where the roof slants down to the ground. The length of the roof of one lean-to is 17 feet. The width of the lean-to is 15 feet. How high is the lean-to on its vertical side?

Answer:

The correct answer is "rational" . It is not an "integer" because it is a "decimal value". It is not "irrational" because the decimal value terminates and does not repeat.

Answer:

Step-by-step explanation:

Answer:

3,-2

Step-by-step explanation:

3,-2

The statement "It allows you to edit the data in any of the tables, just as you would in an Excel worksheet" is not true of the Power Pivot user interface.

Power Pivot is a data modeling and analysis tool available in Microsoft Excel. It enhances Excel's capabilities by providing advanced data manipulation and analysis features. However, Power Pivot does not allow direct editing of data in tables within its user interface. The primary purpose of Power Pivot is to create and manage data models, which involve importing and transforming data from various sources.

In Power Pivot, you can connect to external data sources and import data into the data model. Once the data is imported, you can apply various transformations, calculations, and aggregations using DAX (Data Analysis Expressions) formulas. DAX formulas are used to create calculated columns and measures, which provide additional insights and calculations based on the imported data.

Power Pivot also allows you to create relationships between tables, enabling you to establish connections and associations between different data sources or related tables. These relationships help in performing accurate analysis and building efficient pivot tables.

While Power Pivot provides a powerful environment for data modeling and analysis, it does not provide a direct interface for editing data within tables. To edit the underlying data, you would typically make changes in the original data sources or use Excel's native data editing capabilities outside of the Power Pivot environment.

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The equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6). Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.

The equation given is 3x₁ + 5x₂ = 30. To find the axis intercept, we need to determine the points at which the line intersects the x₁ and x₂ axes. To find the x₁-axis intercept, we set x₂ = 0 and solve for x₁ 3x₁ + 5(0) = 30 3x₁ = 30
x₁ = 10

So, the x₁-axis intercept is (10, 0) which corresponds to point D in the given options. To find the x₂-axis intercept, we set x₁ = 0 and solve for x₂: 3(0) + 5x₂ = 30 5x₂ = 30 x₂ = 6 Therefore, the x₂-axis intercept is (0, 6) which corresponds to point C in the given options. To summarize, the equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6).

In the given options, option A (10, 6) is not an intercept on either axis. Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.

Remember, the x₁-axis intercept is found by setting x₂ = 0, and the x₂-axis intercept is found by setting x₁ = 0 in the equation.The correct answer is option D

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The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.

This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.

Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.

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Answer:

2/5

Step-by-step explanation:

3/5 + 1/9

= 12+6/45

= 18/45 which is 2/5

Answer:

Answer #2

Step-by-step explanation:

Let's say n equals 20. 20 - 6 = 14, so that would be 6 less than n.

The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

The exponential function in this problem is defined as follows:

8e^x-5 = 0.

The equation can be sorted isolating the exponential as follows:

8e^x = 5.

e^x = 5/8.

The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:

ln(e^x) = ln(5/8).

As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:

ln(e^x) = x.

Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

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Answer:

The answer is 49.

Step-by-step explanation:

\sin K = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{4.4}{5.8}

sinK=

hypotenuse

opposite

​

=

5.8

4.4

​

\sin K = \frac{4.4}{5.8}

sinK=

5.8

4.4

​

K=\sin^{-1}(\frac{4.4}{5.8})

K=sin

−1

(

5.8

4.4

​

)

K=49.343\approx 49^{\circ}

K=49.343≈49

In 1 day, there are 24 hours.

In 1 hour, there are 60 minutes.

To convert 1.3 days into hours, multiply by 24:

\(1.3*24=31.2\)

Therefore, 1.3 days is equivalent to 31.2 hours.

To convert 31.2 hours into minutes, multiply by 60:

\(31.2*60=1872\)

Therefore, 31.2 hours is equivalent to 1872 minutes.

1.3 days

31.2 hours

1872 minutes

Answer:4

Step-by-step explanation:i did the quiz

Answer:

the answer isssssssssssssß

Cash was paid for salaries during 2014 was $55,100. These are the formulas for calculating the cash salary received in 2014:

Salary paid in cash = Salary expense in 2014 - Reduction in salary payable

The difference between the balance due for salaries at the end of each year—that is, at December 31, 2013 and December 31, 2014—can be used to determine the decline in salaries payable:

Salaries payable at December 31, 2013, compared to salaries payable at December 31, 2014, are $3,700, $1,800, and $1,900, respectively.

The drop in the balance of salaries payable from 2013 to 2014 indicates that the business paid more compensation than it incurred for the year. As a result, the 2014 salary payments in cash are:

Cash paid for salaries equals salaries paid in 2014 less salaries payable, or $57,000 minus $1,900, or $55,100.

Hence, (A) $55,100 is the correct response.

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Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

Let a be the cost of an adult ticket and c be the cost of a child's ticket.

40a + 25c = 56,050--->40a + 25c = 56,050

a + c = 1600-------------->40a + 40c = 64,000

----------------------------

15c = 7,950

c = 530, a = 1,070

530 child tickets, 1,070 adult tickets

Answer: \(\frac{2(y^2-4y+40)}{(y-8)(y+4)}\)

Step-by-step explanation:

To solve this problem, we want to make sure the denominators are the same on both fractions. Once they are equal, we can dd them together.

\(\frac{y+4}{y-8} +\frac{y-8}{y+4}\)                      [multiply first fraction by y+4 and second by y-8]

\(\frac{(y+4)(y+4)}{(y-8)(y+4)} +\frac{(y-8)(y-8)}{(y-8)(y+4)}\)   [distribute by FOIL]

\(\frac{y^2+8y+16}{(y-8)(y+4)} +\frac{y^2-16y+64}{(y-8)(y+4)}\)   [add numerator]

\(\frac{y^2+8y+16+y^2-16y+64}{(y-8)(y+4)}\)         [combine like terms]

\(\frac{2y^2-8y+80}{(y-8)(y+4)}\)                       [factor out 2 from numerator]

\(\frac{2(y^2-4y+40)}{(y-8)(y+4)}\)                  

Now we know that \(\frac{2(y^2-4y+40)}{(y-8)(y+4)}\) is the factored form after adding.

Answer:

5,386,830

Step-by-step explanation:

Patel needs about 1/6 cups of orange juice to reach his estimate.

The quantity of orange juice squeezed by Patel from each orange:

1st orange = 4/17 cups

2nd orange = 3/10 cups

3rd orange = 9/20 cups

4th orange = 3/11 cups

5th orange = 7/15 cups

Total cups of orange juice squeezed by Patel is,

4/17 + 3/10 + 9/20 + 3/11 + 7/15

Taking L.C.M. of the denominators i.e., L.C.M. of 17, 10, 20, 11 & 15 = 11220

= ( 2640 + 3366 + 5049 + 3060 + 5236 ) / 11220

= 19351/11220 cups

But, Patel needs 2 cups of juice for his family

∴ The quantity of juice he needs to reach his estimate is,

= 2 - (19351/11220)

= (22440 - 19351) / 11220

= 3089/11220

= 0.2753 cups

Now, we will observe the given options:

1) 1/6 = 0.167 cups

2) 5/6 = 0.833 cups

3) 1 (2/3) = 1.67 cups

4) 1(5/6) = 11/6 = 1.833 cups

Hence, Patel needs about 1/6 cups of orange juice to reach his estimate.

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Answer:

Yes of course God is real.

Step-by-step explanation:

One way god is  to prove that God is real is to simply look at the world in which we live. The beauty, complexity and organization of the material world around us point toward a master Designer.

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

Answer:

x = (3.95 and -5.95)

Step-by-step explanation:

Given:

Hypotenuse = 9 cm

Perpendicular = (x+5) cm

Base = (x-3) cm

Find:

Value of x

Computation:

Using Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = [-b±√b²-4ac] / 2a

x = [-4±√16+376] / 2(2)

x = (3.95 and -5.95)

Answer:

3(12+27)

Step-by-step explanation: 3 can go into both of those numbers so u would just divide that by 3 with 36 and 81.

The testing of the four vertices of the objective function gives;

C(5, 0, 55) = 430

C(5, 30, 25) = 400

C(15, 30, 15) = 420

C(45, 0, 15) = 510 (maximum)

The objective function is seen as attached.

Now, it is noticed that just two of the vertices are listed. The other two vertices are intersections of x + y + z = 60 with x = 5 and the constraints on y.

We will assume that; 0 ≤ y ≤ 30

Thus, the missing vertices are;

(x, y, z) = (5, 0, 55)  and  (5, 30, 25)

The two given vertices are;

(x, y, z) = (15, 30, 15)  and  (45, 0, 15)

Therefore, the objective function values are;

C(5, 0, 55) = 9·5 +6·0 +7·55 = 45 +0 +385 = 430

C(5, 30, 25) = 9·5 +6·30 +7·25 = 45 +180 +175 = 400

C(15, 30, 15) = 9·15 +6·30 +7·15 = 135 +180 +105 = 420

C(45, 0, 15) = 9·45 +6·0 +7·15 = 405 +0 +105 = 510

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Answer:

-4.4

Step-by-step explanation:

2.8 + 7.2 = -4.4

Answer:

So since the ball is at x=0 at the end.

We plug in it.

h(x) = 16 if you simplify it

Therefore,  The length of the hollow cylindrical pipe is approximately 55.48 meters.

To solve this problem, we will first find the volume of the solid iron rectangular block and then use it to find the length of the hollow cylindrical pipe. Here are the steps:

1. Find the volume of the rectangular block:
  Volume = Length × Width × Height
  Volume = 3.5m × 2.4m × 2m = 16.8 m³
2. Convert the internal radius and thickness to meters:
  Internal radius = 27 cm = 0.27 m
  Thickness = 4 cm = 0.04 m
3. Calculate the external radius of the pipe:
  External radius = Internal radius + Thickness
  External radius = 0.27m + 0.04m = 0.31m
4. Let L be the length of the pipe. We can write the volume of the hollow pipe as:
  Volume = π × (External radius² - Internal radius²) × Length
  16.8 m³ = π × (0.31² - 0.27²) × L
5. Solve for L:
  L = 16.8 m³ / [π × (0.31² - 0.27²)]
  L ≈ 55.48 meters
Therefore,  The length of the hollow cylindrical pipe is approximately 55.48 meters.

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Answer:

Domain= neg infinite, pos infinite

range= neg infinite, 4

Ann factored the expression completely

Max did not factor completely

The trinomial: 4x^2 - 6x - 4

ax^2 + bx + c

Factors of 16 = 2 and 8

The sum of -8 and 2 gives -6, while the product gives -16 (a × c = 4× 4)

we factorise:

4x^2 -8x + 2x - 4

4x (x - 2) + 2(x -2)

(4x + 2) (x - 2)

factorising completely, 2 is common to the first expression in bracket

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

Ann factored: 2(x - 2)(2x + 1)

Max factored: (x - 2)(4x + 2)

From our workings, we can see Ann factored the expression completely

Max did not factor completely

Reason: one of the factors of the expression could still be factorise

4x + 2 can be factorise as 2(2x + 1)