give one (1) example that illustrates the difference between data and information, and briefly explain how your example shows this difference. do not use the example given in lecture 1.

Answer:

If the radius and height of the cylinder are 6 meters and 3 meters. Then the volume of the cylinder is 339.3 cubic meters.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylinder has a radius of 6 meters and a height of 3 meters.

Then the volume of the cylinder will be

Where r is the radius of the cylinder and h is the height of the cylinder.

Then we have

V = 3.14 × 6² × 3

V = 339.3 m³

Then the volume of the cylinder is 339.3 cubic meters.

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Step-by-step explanation:

The equation in slope-intercept form for the line that passes from the points (-7,2) and (5,8) is y = (1/2)x -3/2.

We know that, the slope intercept form is given by:-

y = mx + b

Where,

(x,y) is the ordered pair of every point on the line

m is the slope of the line

b is the y-intercept of the line

We know that, slope = (8-2)/(5-(-7)) = 6/12 = 1/2

Putting (-7,2) in (x,y) and m = 1/2 in the slope intercept form, we get,

2 = (1/2)(-7) + b

2 = -7/2 + b

b = -3/2

Hence, the slope intercept form of the line is y = (1/2)x -3/2.

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Preconditions for Binary Search Tree is a valid binary search tree and Postconditions are Operations maintain tree validity. Insertion increases size, deletion decreases size. Search returns element or indication. Minimum/maximum return respective values.

The preconditions and postconditions for some common operations of an ADT (Abstract Data Type) Binary Search Tree. Preconditions and Postconditions for Binary Search Tree Operations are

Insertion

Preconditions:

The tree is a valid binary search tree.

Postconditions:

The tree remains a valid binary search tree.

The element to be inserted is added to the tree.

The size of the tree is incremented by 1.

Deletion

Preconditions:

The tree is a valid binary search tree.

The element to be deleted is present in the tree.

Postconditions:

The tree remains a valid binary search tree.

The element to be deleted is removed from the tree.

The size of the tree is decremented by 1.

Search

Preconditions:

The tree is a valid binary search tree.

Postconditions:

The tree remains unchanged.

If the searched element is found, it is returned along with its location (node).

If the searched element is not found, an appropriate indication (such as null or false) is returned.

Minimum

Preconditions:

The tree is a valid binary search tree.

Postconditions:

The tree remains unchanged.

The minimum element (smallest value) in the tree is returned.

Maximum

Preconditions:

The tree is a valid binary search tree.

Postconditions:

The tree remains unchanged.

The maximum element (largest value) in the tree is returned.

Traversal (In-order, Pre-order, Post-order)

Preconditions:

The tree is a valid binary search tree.

Postconditions:

The tree remains unchanged.

The nodes of the tree are visited and processed in the specified order.

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Answer:

around 8.4 houre

Step-by-step explanation:

156 dividee by 13 is 12 dollars and hour so we know she makes 12 and hour so knw just ei 108 divide by 12 which is 8.30769 round that up and it gives you 8.4 hours

Answer:

12.56...............jm

Answer: 12.56 km

Step-by-step explanation: r= 2 km c= 12.56 so 12.56

Answer:

Step-by-step explanation:12-4=8

Answer:

98

Step-by-step explanation:

It is E because if you measure C and B with A you can see they are the same with D if you print this out and cut D out and put it on A it fits perfectly on A so it has to be E

He has mowed the law before he makes a total of Dollar 300, The number of times he has to mow a lawn is 10

Joe mows a lawn, for which he charges = $ 30

Some one-time cleanup work, for which he is paid = $ 60

According to the question:

He has to mow the lawn before he makes a total of Dollar300

Number of times he has to mow a lawn =   300 /  30

The number of times he has to mow a lawn = is 10

He has mowed the law before he makes a total of Dollar 300, 10 times.

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Answer:

Step-by step solution:

Step-1: Subtract 3 both sides.

Step-2: Multiply 12 both sides.

Step-3: Cancel out the denominator and the numerator.

Hence, the solution to the equation is 'x = 48'.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

b is 9 and h is 18

Step-by-step explanation:

because its times 1.5 for each one so like 5 times 1.5 is 7.5 so we can see that it is times by 1.5

Answer:

A) b = 9

D) h = 18

Step-by-step explanation:

b/6 = 7.5/5 = h/12

b/6 = 1.5

b = 9

1.5 = h/12

h = 18

The height of a can of fruit juice used as a prop, if it's actual height is 7 inches, should be of:

3.85 inches.

A proportional relationship is a linear function that has intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:

y = kx.

The input and the output variables in this problem are given as follows:

From the table given at the end of the answer, the constant is given as follows:

k = 44/80

k = 0.55.

Hence the equation is:

y = 0.55x.

Then the height on the set when the actual height is of 7 inches is given by:

y = 0.55(7) = 3.85 inches.

The table is given by the image at the end of the answer.

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It’s A and C

Step-by-step explanation:

Subtract the bottom equation from the top equation/ and add the equations

Answer:

Miguel- 12x

Savanna=8x+8x=16x

Step-by-step explanation:

For miguel, he gets 12 dollars for walking the dogs for x weeks. and for savannah she gets paid 8 dollars each week as allowance for x weeks. and gets paid 8 dollars for x day for watering the plants.

hope it helps :)

Answer: about 47 haircuts

The number of tons of compost that you need to mix in is 1.80 tons.

The first step is to form a system of linear equations using the information provided in the question.

$27.65a + $42.65b = (29.15 x 18)

$27.65a + $42.65b = 524.70 equation 1

a + b = 18 equation 2

Where:

a = tons of soil

b = tons of organic compost

In order to determine the value of b, multiply equation 2 by 27.65

27.65a + 27.65b = 497.70 equation 3

Subtract equation 3 from equation 1

15b = 27

b = 27 / 15

b = 1.80

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Step-by-step explanation:

50000÷10

=5000

The volume of the prism is 9386 mm³.

To find the volume of a prism, we multiply the cross-sectional area of the prism by its length. In this case, the cross-section of the prism is a triangle with a base length of 19 mm and a perpendicular height of 26 mm.

The formula for the area of a triangle is (1/2) * base * height. Let's calculate the cross-sectional area of the triangle:

Area of the triangle = (1/2) * base * height

= (1/2) * 19 mm * 26 mm

= 247 mm²

Now, we can calculate the volume of the prism by multiplying the cross-sectional area by the length of the prism:

Volume = cross-sectional area * length

= 247 mm² * 38 mm

= 9386 mm³

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the area of both rectangles is 34yd²

hope it really helps...!!!

Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle (\(A\)), measured in square feet, is determined by the following equations:

\(A = w\cdot l\) (1)

Where:

\(w\) - Width, measured in feet.

\(l\) - Length, measured in feet.

If we know that \(w = x\), \(l = 2\cdot x\) and \(A = 160\,ft^{2}\), then we get the following second order polynomial:

\(2\cdot x^{2}-160 = 0\) (1)

And we solve the expression for \(x\):

\(2\cdot x^{2} = 160\)

\(x^{2} = 80\)

\(x = \sqrt{80}\,ft\)

\(x \approx 8.944\,ft\)

Then, the dimensions of the pool are, respectively:

\(w \approx 8.944\,ft\) and \(l \approx 17.888\,ft\)

Answer:

Answer is -1/2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

After solving with substitution, you would know x = 2

Step-by-step explanation:

\(\textsf{\large{\underline{Solution}:}}\)

→ 5x - 2y = 6 ----- (i)

→ 3x + 2y = 10 ---- (ii)

Adding (i) and (ii), we get:

→ 8x = 16

→ x = 16/8

→ x = 2

Substituting the value of x in (i), we get:

→ 5 × 2 - 2y = 6

→ -2y = 6 - 10

→ -2y = -4

→ y = -4/-2

→ y = 2

Therefore:

→ (x, y) = (2, 2) (Answer)

\(\textsf{\large{\underline{Verification}:}}\)

Put x = 2 and y = 2 in second equation, the LHS becomes:

= 5 × 2 - 2 × 2

= 10 - 4

= 6

= RHS

Put x = 2 and y = 2 in second equation, the LHS becomes:

= 3 × 2 + 2 × 2

= 6 + 4

= 10

= RHS

Hence, our answer is correct (Verified)

Hope this helps!!

Answer:

x= 108

Step-by-step explanation:

use the altitude theorem:

altitude ² = projection of side 1* projection of side 2

x² = 144* (225-144)

x² = 144*81

x= √144*81

x= 108

Expression 5 + (12.8 ÷ 3.2) represents the phrase 5 + the quotient of 12. 8 and 3. 2 and option (a) is the correct answer.

Expressions refer to a phrase with at least two numbers or variables with any mathematical operations such as addition, exponents, etc. x - 6, 9 + 4y, and 6a are all examples of mathematical expressions.

Equations refer to a sentence when two expressions are equated with the help of '='. x - 6 = 6a is an example of an equation.

In phrase 5+ the quotient of 12. 8 and 3. 2

We divide the phrase into different mathematical operations.

The first operation is of addition with 5, we can write the beginning as 5 + ...

The next operation is division in the phrase the quotient of 12. 8 and 3. 2 which is added to the expression and we get 5 + (12.8 ÷ 3.2)

And we get our answer.

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The complete question might be :

Which expression represents the phrase 5+ the quotient of 12. 8 and 3. 2?

a. 5 + (12.8 ÷ 3.2)

b. 5 - (12.8 + 3.2)

c. 5 + (12.8 * 3.2)

d. none of the above

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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The average R-value for the entire attic is approximately R-37.6.

To calculate the average R-value, you need to consider the weighted average of the R-values for the insulated and pull-down stairs areas. Follow these steps:

1. Calculate the percentage of the attic covered by insulation and pull-down stairs: Insulated area (990 sqft) is 99% and pull-down stairs area (10 sqft) is 1% of the total attic area (1000 sqft).

2. Multiply the percentage of each area by their respective R-values: 99% * R-38 = 37.62 and 1% * R-1 = 0.01.
3. Add the weighted R-values: 37.62 + 0.01 = 37.63 ≈ R-37.6.

The average R-value for the entire attic is approximately R-37.6, taking into account both the insulated and pull-down stairs areas.

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Answer:

88 on either side

Step-by-step explanation: