2. Writing a set in Roster Method means you list the elements of sets inside the braces separated by commas; while writing the set using Set Builder Notation means writing the wet in words or description inside the braces. Examples are shown below: Given: Set A is a set of vowels The elements are a, e, i, o, u Roster Method A= {a, e, i, o, u Set Builder Notation A = {x / x is a vowels So, write the following sets in Roster Method and Set Builder Notation. a. Bis a set of days in the week that starts with letter S Roster Method Set Builder Notation: b. Cis a set of letters in the word PHILIPPINES Roster Method​

The cost of the fence used to make the rectangular sheep pen is £57.6. The result is obtained by multiplying the perimeter by the fencing price.

The cost for fencing a building can be calculated by multiplying the price of a certain size of fence by the perimeter or the length side to be fenced.

Bill builds a rectangular sheep pen.

Find the total cost of the fence!

The total cost of the fence will be

= P × fencing cost

= 24 m × £1.20 / ½ m

= 24 × £2.40

= £57.6

Hence, the fence to make the sheep pen will cost £57.6.

Your question is incomplete. But most probably your full question was

Bill needs to build a rectangular sheep pen. The pen must have a perimeter of 24 m. Every half meter of fencing costs him £1.20. Work out the cost of the fence used to make the sheep pen!

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Answer:

\(44,826.72\ \text{pounds}\)

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

\(V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3\)

If water weighs 62.4 pounds per cubic foot, it means

\(V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}\)

So, the total weight of the water is \(44,826.72\ \text{pounds}\).

Answer:

3(2×2+1)+3×(2×2)/3=1×3=4×3

36+3+4=3=12

36+3+4-3-12

43-15

28

The expression V − E + F is an illustration of the Euler's formula.

The expression V − E + F is always 2

The equation is given as:

V - E + F = 2

Where:

According to the Euler's formula, the relationship between V, E and F is:

V + F = 2 + E

Subtract E from both sides

V - E + F = 2

Hence, the expression V − E + F is always 2

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Answer:

f(9) = 0

Step-by-step explanation:

f(x) = -22 + x + 13

To  find  f(9) put 9 instead of x to the function like this.

f(x) = -22 + x + 13

f(9) = -22 + 9 + 13

f(9) = -13+13

f(9) = 0

Hope this helps you.

Let me know if you any other question :-)

the number of arrangements if a and m come in a unit is 720.

What is the combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The number of k-combinations for a set with n components

The word is the mailbox.

So it contains 7 words and the total number of arrangements will be 7! = 5040.

And if a and m comes in a unit then: the number of the arrangements will be 6! = 720.

Hence the number of arrangements if a and m come in a unit is 720.

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The conjecture "A square number is either measurable by 4 or will be after the removal of a unit" is true. If a number is a perfect square, it can be expressed as either 4k or 4k+1 for some integer k.

However, if 4 is replaced by 3 in the conjecture, it is no longer valid. Counterexamples can be found where square numbers are not necessarily divisible by 3.

To prove the conjecture that a square number is either divisible by 4 or will be after subtracting 1, we can consider two cases:

Case 1: Let's assume the square number is of the form 4k. In this case, the number is divisible by 4.

Case 2: Let's assume the square number is of the form 4k+1. In this case, if we subtract 1, we get 4k, which is divisible by 4.

Therefore, in both cases, the conjecture holds true.

However, if we replace 4 with 3 in the conjecture, it is no longer valid. Counterexamples can be found where square numbers are not necessarily divisible by 3. For example, consider the square of 5, which is 25. This number is not divisible by 3. Similarly, the square of 2 is 4, which is also not divisible by 3. Hence, the conjecture does not hold when 4 is replaced by 3.

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The bearing of C from A is 90 degrees when B is equidistant from A and C.

In navigation and geometry, bearing refers to the direction or angle between two points, measured clockwise from a fixed reference direction. Typically, bearings are measured in degrees, with 0 degrees indicating a direction due north, 90 degrees indicating a direction due east, 180 degrees indicating a direction due south, and 270 degrees indicating a direction due west. Bearings can be expressed as either magnetic bearings or true bearings, depending on the reference direction used.

Let's assume that the distance from B to A and from B to C is the same.

To find the bearing of C from A, we can use the fact that the interior angles of a triangle sum up to 180 degrees. Therefore, we can first find the bearing of A from C:

180 - 129 = 51

This means that the bearing of C from A is 51 degrees in the opposite direction of the bearing of A from C. Since the bearing of A from C is 219, the bearing of C from A is:

219 - 180 + 51 = 90 degrees

Therefore, the bearing of C from A is 90 degrees.

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Answer: I think 1000 sorry if I’m wrong have a great day!

Step-by-step explanation: 1,379,842 = 1000

The equation of the tangent line to the curve x+y-1=ln(x^6+y^6) at the point (1,0) is x - 1 = 0

The equation of the tangent line to the curve given by the equation x+y-1=ln(x^6+y^6) at the point (1,0) can be found using implicit differentiation.

Step 1: Differentiate both sides of the equation with respect to x:

d/dx (x+y-1) = d/dx (ln(x^6+y^6))

Step 2: Apply the chain rule to the right side of the equation:

1 + dy/dx = (1/(x^6+y^6)) * (6x^5 + 6y^5 * dy/dx)

Step 3: Rearrange the equation to isolate dy/dx:

dy/dx = (6x^5 + 6y^5)/(x^6 + y^6 - 1)

Step 4: Substitute the coordinates of the point (1,0) into the equation to find the slope of the tangent line at that point:

dy/dx = (6(1)^5 + 6(0)^5)/(1^6 + 0^6 - 1) = 6/0

Note: The slope of the tangent line is undefined, indicating that the tangent line is vertical.

Step 5: Using the point-slope form of a line, we can write the equation of the tangent line:

y - 0 = (6/0)(x - 1)

The equation of the tangent line to the curve x+y-1=ln(x^6+y^6) at the point (1,0) is x - 1 = 0. However, it's important to note that the slope of the tangent line is undefined, indicating that the line is vertical.

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Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - 1/4x - 6

Comparing with the general equation above

Slope = - 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = - 1/4.

Equation of the line using point (12,4) and slope - 1/4 is

\(y - 4 = - \frac{1}{4} (x - 12) \\ y - 4 = - \frac{1}{4} x + 3 \\ y = - \frac{1}{4} x + 3 + 4\)

We have the final answer as

\(y = - \frac{1}{4} x + 7\)

Hope this helps you

By using the concept of percentage, the complete table has been shown below

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage. For example 13% means \(\frac{13}{100}\). Here 13 is expressed as a fraction of 100.

For marble

Lily's Measurement = 90 cm

Actual Measurement = 90 + 10 = 100 cm

Absolute difference = 10 cm

Percent error = \(\frac{10}{100} \times 100\) = 10 %

For granite

Lily's Measurement = 65 cm

Actual Measurement = 50 cm

Absolute difference = 15 cm

Percent error = \(\frac{15}{50} \times 100\) = 30 %

For concrete

Lily's Measurement = 30 + 6 = 36 cm

Actual Measurement = 30 cm

Absolute difference = 6 cm

Percent error = \(\frac{6}{30} \times 100\) = 20 %

                           Marble                   Granite                      Concrete

Lily's

Measurement          90 cm                   65 cm                       36

Actual

Measurement         100 cm                  50 cm                       30

Absolute

Difference               10 cm                    15 cm                         6

Percentage

Error                        10%                        30%                           20%

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Complete Question

The table has been attached

The statement which is true is the airplane reaches its maximum height of 81 feet in 12 seconds.

Since the height of the plane is a function given by a parabola, we need to know the equation of a parabola in vertex form

The equation of a parabola with vertex (h,k) is given by y = a(x - h) + k

Since the height (in feet) of the airplane as a function of time (in seconds after the timer was started) is given by the equation h(t) = −(t − 12) + 81

So, the statement which is true is the airplane reaches its maximum height of 81 feet in 12 seconds.

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Answer:

W = 0.16

or

W = 1/6

Step-by-step explanation:

Answer:

A≈96.07

Step-by-step explanation:

area of a circle is PiXr^2

Answer:

If you tell everyone what the question is, we can answer it.

Step-by-step explanation:

Answer:see attached

Step-by-step explanation:

The probability of not getting a diamond card is \(\frac{3}{4}\) .

What is probability ?

 The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

The total number of outcomes of a deck of 52 cards are 52.

Since, there are 13 cards of diamond in a deck of 52 cards, therefore, the total number of favourable outcome that it is not a diamond is ,

=> 52-13= 39.

Therefore, probability P of not getting a diamond card is:

P= \(\frac{39}{52}\) = \(\frac{3}{4}\)

Hence, the probability of not getting a diamond card is \(\frac{3}{4}\) .

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There are 144 possible sequences of chip colors.

We can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.

Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:

Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144

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Answer:

Market price = 3,361.4 (Approx.)

Step-by-step explanation:

Given:

Selling price = 3,430

Discount percentage =2 %

Find:

Market price

Computation:

Market price = Selling price [1-2%]

Market price = 3,430 (1-2%)

Market price = 3,361.4 (Approx.)

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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|x − 0.15| = 10; x = 9.85 ounces. Here 0.15 ounces are the maximum and minimum limits of 10 ounces.

What is Maximum and Minimum ?

Maximum and minimum values of something is that from the exact quantity as stated maximum and minimum variation defines the limit to which extent it can be more or lees to the stated quantity.

In the given question we have to determine the least allowable volume.

Stated volume is 10 ounces and 0.15 ounces are the limit so it can either be 10.15 which is maximum or it can be 9.85 which is the minimum.

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Solution

We want to find the area of the triangle given te sides

b = 20

a = 29

c = 21

Note: Hero formula for calculating the Area of a Triangle

We will first find S

To find the Area

Therefore, the area is

The result of the expression "(x - y)**2 > y" is -4>6 and it is false.

Information about the problem:

To solve this problem, we have to substitute the values of (x) and (y) and solve the equation:

(x - y)**2 > y

(4 - 6)**2 > 6

-2 ** 2 > 6

-4 > 6

The expression is false because - 4 is not higher than 6. The correct expression is:

(x - y)**2 < y

-4 < 6

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

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Answer:

A is incorrect!  B. should be the correct answer

Step-by-step explanation

After some research, i found that the correct answer is most likely B.  a regression line and trend line are equivalent terms

A trendline and a regression can be the same.

A regression line is based upon the best fitting curve Y= a + bX Most often it’s a least-squares fit (where the squared distances from the points to the line (along the Y-axis) is minimized).

It can be quadratic or logistic or otherwise, but most often it is linear.

A trendline is often constructed by smoothing of the results, making it less peaked. (often by using a moving average); but can also come from ARIMA projections or curve fitting techniques (such as regression).

Let me know if i helped you!

The statement that is true about a trend line is B. A regression line and trend line are equivalent terms.

It should be noted that the trend line doesn't represent only the largest data points. It can also represent the smallest data points.

The regression line and the trend line are not opposite terms but rather, the regression line and trend line are equivalent terms.

In conclusion, the correct option is B.

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Answer: 2.96% rounded

Step-by-step explanation: 10/30) x (9/29) x (8/28)  =  720 / 24,360 = 6/203 = 2.96%

Answer:

5 c = 45 , d = 97

Step-by-step explanation:

5) You know the entire triangle has a total of 180 degrees, you also know that angle c + 135 has to equal 180.

So for angle C, you will set up your formula c=180-135 = 45

Now you set up your formula for angle d.

180=angle c + angle d +38

180 = 45 + D + 38 -> D = 180-45-38 = 97

Follow the same steps for 6 and 7