1 Ft = 12 in ? Need help

Answers

Answer 1
Yes it does, multiply the length value by 12

Related Questions

the first one will get the brianlist please help answer these two

Answers

Answer:

Hello bakugo here!

Step-by-step explanation:

I don't see anything, is there supposed to be anything here? if not

Thank you extra for FREE points! :D

Yeah I also don’t see anything

Write a division or multiplication equation that represents each situation. Use a “?” for the unknown quantity.

A. 2.5 gallons of water are poured into 5 equally sized bottles how much water is in each bottle?

B. A large bucket of 200 golf balls is divided into 4 smaller buckets how many golf balls are in each bucket

C. sixteen socks are put into pairs how many pairs are there

(note : i know all of these but i started writing so too late}

Answers

A. 2.5 divided 5 = ?
5 x ? = 2.5


B. 200 divided 4 = ?
200 divided ? = 4
4 x ? = 400

C. 16 divided 2 = ?
2 x ? = 16





Have a great day :)

Here are some numbers:
4
6 7
15
21
Which number is a prime number?

Answers

Answer:

67

Step-by-step explanation:

all prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199,

Answer:

7

Step-by-step explanation:

Prime numbers have a factor of 1 and itself.

4 is not prime because it has a factor of 2.

6 is not prime because it has factors 2 and 3.

7 is prime, it has 1 and 7 as its factors.

15 is not prime, it has factors of 3 and 5.

21 is not prime, it has factors of 3 and 7.

The only prime number from the list is 7, because the only factors it has is 1 and itself.

what is the answer to 10x+3x

Answers

Answer:

refer to the attachment

Step-by-step explanation:

hope that helps

what is the answer to 10x+3x

Answer: 13x because you can combine them together because they both have the same variable.

8. You have an investment of $20,000 with
4.2% simple interest and weekly payments.
How much money (to the nearest dollar)
will you have after three years?
[A] $23,030
[B] $19,730
IC] $21,200
[D] $24,250
[E] $20,048

Answers

Answer:

[D] $ 24,250

Step-by-step explanation:

$24,250 dollar will I have after three years.

The data in the table describes the preferred type of exercise of 9th graders.




Find the marginal relative frequency for students who prefer swimming as their preferred type of exercise.

39%

35%

19%

16%

The data in the table describes the preferred type of exercise of 9th graders.Find the marginal relative

Answers

Approximately 35% of students prefer swimming as their preferred type of exercise. So, correct option is B.

To find the marginal relative frequency for students who prefer swimming as their preferred type of exercise, we need to add up the percentage of boys and girls who prefer swimming.

The percentage of boys who prefer swimming is 16% and the percentage of girls who prefer swimming is 19%.

So, the total percentage of students who prefer swimming is:

16% + 19% = 35%

Therefore, the marginal relative frequency for students who prefer swimming as their preferred type of exercise is 35%.

So, correct option is B.

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(please hurry there's a time limit!!)
“A baker plans to make 8 cookies for each guest at a party. The letter g represents the number of guests at the party.”
Write an expression to represent how many cookies the baker should make.

Answers

Answer:

y=8g

Step-by-step explanation:

g = number of people

y= how many cookies the baker should make

Which of the following whole numbers are perfect squares? (Please select ALL correct answers for full credit).

Which of the following whole numbers are perfect squares? (Please select ALL correct answers for full

Answers

Answer:

81, 100, 25, 4

Step-by-step explanation:

The square root of each of these numbers is whole

Answer:

these are the perfect squares

Step-by-step explanation:

Which of the following whole numbers are perfect squares? (Please select ALL correct answers for full

Points A,B and C are Collinear, and B lies between A and C. If AC = 48, AB = 2x+2, and BC = 3x+6, what is BC

Answers

Applying the segment addition postulate, the length of segment BC is calculated as: 30 units.

What is the Segment Addition Postulate?

Based on the segment addition postulate, when three points A, B and C are collinear (lie on a straight line), where B is at the center of points A and C, thus: AB + BC = AC.

Given the following measurements:

Segment AC = 48,

Segment AB = 2x + 2,

Segment BC = 3x + 6

Plug in the values into AB + BC = AC:

(2x + 2) + (3x + 6) = 48

Solve for x

2x + 2 + 3x + 6 = 48

2x + 3x + 2 + 6 = 48

5x + 8 = 48

Subtract 8 from both sides

5x + 8 - 8 = 48 - 8

5x = 40

Divide both sides by 5

5x/5 = 40/5

x = 8

Find BC by plugging in the value of x

BC = 3(8) + 6

BC = 24 + 6

BC = 30 units.

Therefore, applying the segment addition postulate, the length of segment BC is calculated as: 30 units.

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if a club consists of 9 members, how many different arrangements of president, vice-president, and secretary are possible?

Answers

To determine the number of different arrangements for the president, vice-president, and secretary positions in a club with 9 members, we can use the concept of permutations.

Since each position (president, vice-president, secretary) can only be occupied by one member at a time, we have 9 choices for the president position. Once the president is chosen, we have 8 remaining members for the vice-president position. Finally, for the secretary position, we have 7 remaining members.

To calculate the total number of arrangements, we multiply the number of choices for each position: 9 * 8 * 7 = 504

Therefore, there are 504 different arrangements of president, vice-president, and secretary possible among the 9 members of the club. Each arrangement represents a unique combination of individuals occupying the different positions.

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Can someone help with this problem?




Will give brainliest too

Can someone help with this problem? Will give brainliest too

Answers

Answer:

7^2 - 4(2)(-15) = 49 + 120 = 169

The correct number is 169.

the set of all n-tuples of real numbers that have the form, (x,x,x,...x) with the standard operations on R^n.i have read that n-tuple is a list of elements that are greater than or equal to 0 (non-negative). however, they say its an n-tuple of real numbers. does this mean that the n-tuple (x,x,x,....x) can have negative values (-x,-x,-x...-x)?

Answers

To answer the question, no, the n-tuple (x,x,x,....x) does not necessarily have to consist of non-negative values.

An n-tuple is a sequence of n elements, and in mathematics, it can refer to a sequence of real numbers, complex numbers, or other types of mathematical objects. In the case of the given set of n-tuples, it specifies that the n-tuple consists of real numbers and that all the elements in the tuple have the same value, which is denoted by x.

The definition of the set only specifies that the elements are real numbers and that they are all equal to each other. Therefore, the elements in the tuple can be positive, negative, or zero.

However, if the context of the problem or application requires the elements to be non-negative, then this restriction should be explicitly stated.

For example, if the n-tuple represents a set of quantities that cannot be negative, such as lengths, areas, or volumes, then it is appropriate to specify that the elements are non-negative real numbers.

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If one cookie needs 1/6 cup(s) of oil, how much vegetable oil will 4 cookies need?

Answers

Answer:

2/3 cups.

Step-by-step explanation:

1/6 + 1/6 + 1/6 + 1/6 is 4/6

Then simplify

2/3

Solve the following initial value problem. y(4)−6y′′′+5y′′=4x,y(0)=0,y′(0)=0,y′′(0)=0,y′′′(0)=0

Answers

The solution to the initial value problem is:
\(y(x) = -C4 + (-C3 - C4)x + 2C4e^x + C4e^(-x) + (4/5)x + B, where C3 = 2C4, C4\) is an arbitrary constant, and B is determined by the initial condition y(0) = 0.

To solve the given initial value problem, we need to find the function y(x) that satisfies the given differential equation and initial conditions. Let's proceed step by step:

Step 1: Find the general solution of the homogeneous equation
The homogeneous equation is obtained by setting the right-hand side of the given differential equation to zero:
\(y(4) - 6y'' + 5y' = 0\)

Factoring out r, we get:
\(r(r^3 - 6r + 5) = 0\)

The roots of this equation are:
r = 0 (with multiplicity 2)
r = 1
r = -1

Therefore, the general solution of the homogeneous equation is:
\(y_h(x) = C1 + C2x + C3e^x + C4e^(-x), where C1, C2, C3, and C4 are arbitrary constants.\)

Step 2: Find the particular solution
To find the particular solution, we need to consider the non-homogeneous part of the differential equation:
4x

Since 4x is a linear function, we assume a particular solution of the form:
\(y_p(x) = Ax + B\)

Differentiating y_p(x), we get:
\(y'_p(x) = A\)
Differentiating again, we get:
\(y''_p(x) = 0\)

Substituting these derivatives into the differential equation, we get:
\(0 - 6(0) + 5(A) = 4x5A = 4xA = (4/5)x\)
Therefore, the particular solution is:
\(y_p(x) = (4/5)x + B\)


Step 3: Apply initial conditions to find the values of the constants
Using the initial conditions, we can determine the values of the constants C1, C2, C3, and C4:
\(y(0) = 0:C1 + C2(0) + C3e^0 + C4e^(-0) + (4/5)(0) + B = 0C1 + C3 + C4 + B = 0\)

\(y'(0) = 0:C2 + C3 + C4 + (4/5) = 0\)

\(y''(0) = 0:2C4 - C3 + 0 = 02C4 = C3\)

\(y'''(0) = 0:6C4 - C3 + 0 = 06C4 = C3\)


Solving these equations, we find:
\(C1 = -C4C2 = -C3 - C4C3 = 2C4C4 = C4\)


So, the particular solution with the given initial conditions is:
\(y(x) = -C4 + (-C3 - C4)x + 2C4e^x + C4e^(-x) + (4/5)x + B\)

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an arithmetic series begins 29+25+21+...
find the maximum value that the series could have

Answers

The series' value is maximized if the sum only consists of positive terms. Notice that each term in the sum takes the form 4n + 1 for integer n. This means the smallest positive integer that the sum can involve is 1, so the maximum value is

S = 29 + 25 + 21 + … + 9 + 5 + 1

Reversing the order of terms gives the same sum,

S = 1 + 5 + 9 + … + 21 + 25 + 29

Adding terms in the same positions gives us twice this sum,

2S = (29 + 1) + (25 + 5) + (21 + 9) + … + (1 + 29)

Notice how each grouped sum adds to 30. There are 8 terms in the sum, since 4n + 1 = 29 when n = 8. So

2S = 8 × 30 = 240   ===>   S = 120

How will the solution of the system y > 2x + and y < 2x + change if the inequality sign on both inequalities is reversed to y < 2x + and y > 2x + ?.

Answers

The answer will come out differently

what do the symbols p with hat on top, x with bar on top, and s represent? variables of interest sample statistics defined variables population parameters

Answers

The symbols p,x, and s represent sample statistics.

- p (pronounced "p-hat") is the sample proportion. It is used to estimate the population proportion. It is computed as the number of successes in the sample divided by the sample size.

-x (pronounced "x-bar") is the sample mean. It is used to estimate the population mean. It is computed as the sum of all the values in the sample divided by the sample size.

- s is the sample standard deviation. It is used to estimate the population standard deviation. It measures how spread out the data is in the sample. It is computed as the square root of the sum of the squared deviations from the sample mean divided by the sample size minus one.

These sample statistics are used to make inferences about the corresponding population parameters, which are denoted by Greek letters such as μ (mu) for the population mean and σ (sigma) for the population standard deviation.

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identify the measure of angle EHF:

identify the measure of angle EHF:

Answers

The measure of angle EHF is 63°

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

m∠EHG is a right angle.

This means,

m∠EHG = 90°

m∠EHF + m∠FHG = 90

m∠EHF + 27 = 90

m∠EHF = 90 - 27

m∠EHF = 63°

Thus,

The value of m∠EHF is 63°.

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Use Laplace transforms to solve the initial value problem. 2,, y″ + y = f(t), y(0) = 0, y′(0) = −1, where f(t) =
{2, , 0 < T ≤ 2
{0, , t > 2

Answers

The initial value problem, 2y″ + y = f(t), y(0) = 0, y′(0) = −1, where f(t) is defined as {2, 0 < t ≤ 2, 0, t > 2}, can be solved using Laplace transforms.

To solve the initial value problem using Laplace transforms, we first take the Laplace transform of the given differential equation. Applying the Laplace transform to the equation, we get 2s²Y(s) + Y(s) = F(s), where Y(s) and F(s) are the Laplace transforms of y(t) and f(t) respectively.

Next, we substitute the initial conditions y(0) = 0 and y′(0) = −1 into the transformed equation. Using the Laplace transform property for initial value conditions, we have Y(s) = Y(s) - 1/s.

Simplifying the equation, we can express Y(s) in terms of F(s) as Y(s) = F(s) / (2s² + 1) + 1/s.

Finally, we need to take the inverse Laplace transform of Y(s) to obtain the solution y(t). The inverse Laplace transform of F(s) / (2s² + 1) can be determined using partial fraction decomposition, and the inverse Laplace transform of 1/s is simply a ramp function.

Thus, by taking the inverse Laplace transform of Y(s), we can obtain the solution y(t) for the given initial value problem.

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Linda plans to sign up for three field day events she want to run a total of more than a kilometer but less than a 1.5 kilometers.

Answers

The total distance Linda will run is 0.4 + 0.4 + 0.7 = 1.5 kilometers,To solve this problem, let's assume that Linda will be participating in three field day events,

and we need to determine the area ofdistance she wants to run in total.

Given:

The total distance Linda wants to run is more than 1 kilometer but less than 1.5 kilometers.

Let's represent the distances of the three events as x, y, and z.

According to the given conditions, we can set up the following inequality:

1 < x + y + z < 1.5

Since we want the total distance to be more than 1 kilometer, we can also write it as:

x + y + z > 1

Now, let's consider the second condition. To ensure the total distance is less than 1.5 kilometers, we can write it as:

x + y + z < 1.5

So, the problem can be solved by finding values of x, y, and z that satisfy both inequalities.

There can be various combinations of x, y, and z that fulfill these conditions. For example, one possible solution could be:

x = 0.4 kilometers

y = 0.4 kilometers

z = 0.7 kilometers

With this combination, the total distance Linda will run is 0.4 + 0.4 + 0.7 = 1.5 kilometers, which satisfies both conditions.

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a population that is normally distributed has a mean of 164 and standard deviation of 18.65. if a sample of size 50 was taken from this population, what is the probability its mean would be greater than 168? show how you arrived at your answer. round to the nearest tenth of a percent.

Answers

The probability that the sample mean would be greater than 168 is approximately 93.4%.

To find the probability that the sample mean is greater than 168, we can use the Central Limit Theorem, which states that the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population, as the sample size increases.

Given that the population is normally distributed with a mean (μ) of 164 and a standard deviation (σ) of 18.65, and we have a sample size (n) of 50, we can calculate the standard error of the mean (SE) as:

SE = σ / √n

SE = 18.65 / √50 ≈ 2.639

Next, we calculate the z-score using the formula:

z = (sample mean - population mean) / SE

z = (168 - 164) / 2.639 ≈ 1.517

To find the probability that the sample mean is greater than 168, we need to find the area under the standard normal distribution curve to the right of the z-score of 1.517. This can be determined using a standard normal distribution table or a calculator.

From the standard normal distribution table or a calculator, we find that the probability associated with a z-score of 1.517 is approximately 0.934.

The probability that the sample mean would be greater than 168 is approximately 93.4% (rounded to the nearest tenth of a percent).

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triangle
3. The ratio of the angle measures in a triangle is 6: 5:4. Find the angle measures and classify the triangle.

Answers

Answer:

12°

Step-by-step explanation:

it is a ratio let represent by x

6x+5x+4x=180

15x=180

x=12°

Suppose that the borrowing rate that your client faces is 12%. Assume that the S&P 500 index has an expected return of 17% and standard deviation of 21%. Also assume that the risk-free rate is rf = 6%. Your fund manages a risky portfolio, with the following details: E(rp) = 16%, σp = 26%.
What is the largest percentage fee that a client who currently is lending (y < 1) will be willing to pay to invest in your fund? What about a client who is borrowing (y > 1)?

Answers

The largest percentage fee a client who is borrowing would be willing to pay is 10%.

To determine the largest percentage fee that a client who is lending (y < 1) or borrowing (y > 1) would be willing to pay to invest in your fund, we need to consider the concept of the Capital Market Line (CML).

The CML represents the trade-off between risk and return in the capital market.

It is derived from the combination of the risk-free asset and the risky portfolio.

The equation of the CML is as follows:

\(E(r) = rf + (E(rp) - rf) \times y\)

where E(r) represents the expected return, rf is the risk-free rate, E(rp) is the expected return of the risky portfolio, and y is the allocation to the risky portfolio.

For a client who is lending (y < 1), they have a risk-free asset with an expected return of rf = 6%.

Since they are already earning the risk-free rate, they would be unwilling to pay any fee to invest in your risky portfolio.

Therefore, the largest percentage fee they would be willing to pay is 0%.

For a client who is borrowing (y > 1), they are seeking higher returns by allocating some portion of their investment to the risky portfolio.

The fee they would be willing to pay would depend on the risk and return characteristics of your fund compared to the risk-free rate.

In this case, the expected return of the risky portfolio is 16%, and the risk-free rate is 6%.

To calculate the largest fee, we need to determine the difference between the expected return of the risky portfolio and the risk-free rate:

E(rp) - rf = 16% - 6% = 10%

Therefore, the largest percentage fee a client who is borrowing would be willing to pay is 10%.

In summary, a client who is lending (y < 1) would not be willing to pay any fee to invest in your fund, while a client who is borrowing (y > 1) would be willing to pay a fee up to 10% to invest in your fund.

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Consider r (x) = StartFraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline EndFraction, where a, b, c, and d are positive integers and b < d. What value does r(x) approach as x approachesInfinity? 0 StartFraction a Over c EndFraction StartFraction b Over d EndFraction Infinity

Answers

Answer:

The correct answer is 0 or choice A on edge

Step-by-step explanation:

right on edge

Therefore, value of r(x) as x approaches Infinity : zero

\(\bold{\lim_{x \to \infty} r(x)=0}\)

What is function?

"A function is a special relationship where for each input and their is single outputs."

What is limit?

"Limit is defined as the value that a function approaches for the given input value."

For given situation,

We have been given a function,

r (x) = Start Fraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline End Fraction

We can rewrite it as,

\(r(x)= \frac{ax^b+8}{cx^d}\) , where a, b, c, and d are positive integers and b < d.

We need to find the value of r(x) approach as x approaches Infinity.

This means, we need to find the value of the limit \(\lim_{x \to \infty} r(x)\)

Now, we find the value of limit for given function.

\(\lim_{x \to \infty} r(x)\)

=  \(\lim_{x \to \infty} \frac{ax^b+8}{cx^d}\)

= \(\lim_{x \to \infty} (\frac{ax^b}{cx^d} + \frac{8}{cx^d})\)

= \(\lim_{x \to \infty} \frac{a}{cx^(d-b)} + \lim_{x \to \infty} \frac{8}{cx^d}\)                          ...............(since d > b)

= \(0 + 0\)

= \(0\)

Therefore, \(\bold{\lim_{x \to \infty} r(x)=0}\)

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what is the probability that 113 or fewer people in this sample have had chickenpox in their childhood? (round your answer to four decimal places.)

Answers

The answer to the probability that 113 or fewer people in this sample have had chickenpox in their childhood is 0.1422

The probability that 113 or fewer people in this sample have had chickenpox in their childhood is 0.1422(rounded to four decimal places).

Step-by-step explanation : We can use the binomial probability formula to solve this problem.                                                                     Let's assume p be the probability that a person had chickenpox in their childhood.                                                                                  q = 1 - p is the probability that a person did not have chickenpox in their childhood.                                                                                           n is the sample size which is 400.                                                                                                                                                                                                                                                                             The formula is as follows:P(X ≤ 113) = P(X = 0) + P(X = 1) + ... + P(X = 113)P(X = k) = C(n, k) * p^k * q^(n-k) where C(n, k) is the combination of n objects taken k at a time which is given by n!/k!(n-k)! Substituting the values of n, p, q, and k in the formula we get, P(X ≤ 113) = ∑ C(400, k) * p^k * q^(n-k) , for k = 0 to k = 113.

We can calculate the probability  using a calculator or Microsoft Excel.

Using the Excel formula = BINOM.DIST(113,400,0.17,TRUE) we get the answer as 0.1422(rounded to four decimal places).Therefore, the probability that 113 or fewer people in this sample have had chickenpox in their childhood is 0.1422 (rounded to four decimal places).

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An angle in a rectangular coordinate system is in standard position if its vertex is at the_______.

Answers

An angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The angle is measured in a counterclockwise direction from the positive x-axis and is considered positive if it lies in the counterclockwise direction and negative if it lies in the clockwise direction.

The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located. An angle in a rectangular coordinate system is in a standard position if its vertex is at the origin of the plane. An angle is said to be in a standard position if its vertex is located at the origin of the coordinate system.

To summarize, an angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located.

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If Chris looks at the clock 10 minutes into class and the clock reads 9:15 A.M., what time did class begin?

Answers

Answer:

9:05

Step-by-step explanation:

just took the text

hope this helps!!!!

Answer:

9:05

Step-by-step explanation:

:15- 10 =5

(B∪C)∩A b) (A−C)−B c) (A∩B)∪(B∩C)∪(A∩C) 4. a) Prove A∩B=(A
c
∪B
c
)
c
using membership table. b) Prove (A∩B)∪C=(C∪B)∩(C∪A) using membership table.

Answers

a) A∩B = (Ac ∪ Bc)c using a membership table: Elements in A and B have 0 in (Ac ∪ Bc) column, proving equality.b) (A∩B)∪C = (C∪B)∩(C∪A) using a membership table: Comparing values row by row shows equivalence, proving equality.



a) To prove A∩B = (Ac ∪ Bc)c using a membership table, we need to compare the elements in A∩B and (Ac ∪ Bc)c. The membership table would have three columns: A, B, and Ac ∪ Bc. Each row represents an element and its membership in A, B, and the union of their complements. We observe that the elements that belong to both A and B have a 1 in their respective A and B columns, while in the Ac ∪ Bc column, they have a 0. This is because the union of their complements includes all the elements not present in both A and B. Comparing the columns, we find that the elements with 0 in the Ac ∪ Bc column belong to A∩B. Thus, A∩B = (Ac ∪ Bc)c.

b) To prove (A∩B)∪C = (C∪B)∩(C∪A), we construct a membership table with columns for A, B, C, (A∩B), (A∪C), (B∪C), and the final result. We compare the values in the membership table row by row, showing that both sides are equivalent. The union of (A∩B) with C means any element present in either (A∩B) or C will be included. On the other side, (C∪B)∩(C∪A) means we take the union of C with A and B separately, and then find the intersection of the two unions. Comparing the two sides in the membership table, we find that they are equal for all elements, thus proving the equality.



Therefore, a) A∩B = (Ac ∪ Bc)c using a membership table: Elements in A and B have 0 in (Ac ∪ Bc) column, proving equality.b) (A∩B)∪C = (C∪B)∩(C∪A) using a membership table: Comparing values row by row shows equivalence, proving equality.

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6. At the Winter Olympics, the ratio of Canadian medals to US to Russia was 1:8:5. If Russia won 25
medals, how many did Canada and US won?

Answers

Answer:

Step-by-step explanation:

Let x be the total number of medals won by the Russians.

The way to do this is to add the ratios together

1 + 8 + 5 = 14

(5/14) x = 25

Multiply by 14

5*x = 25 * 14

5x = 350              

divide by 5

70

8/14 = x / 70

14x = 8 * 70

14x = 560

x = 560 / 14

x = 40

The USA won 40 medals.

1/14 = x / 70

14x = 70

x = 5

Canada Won 5 medals.

Check

Russia       Won 25 medals

Canada     Won   5 medals

USA           Won 40 medals

Total 70

If $m$ workers can complete a job in $d$ days, how many days will it take $n$ workers, working at the same rate, to complete one-third of the job

Answers

The one-third of the job will take md/3n days. The result is obtained by using the concept of inverse proportion.

What is inverse proportion?

Inverse proportion is a proportionality relationship when one value increases and the other decreases.

Assuming that the workers are working at the same rate, the more workers will complete the job more quickly. It means the more workers that do the job, the less time needed. We use inverse proportion to solve this problem.

We have workers and time to complete a job. Let's say e is the time for n workers to complete the job.

m workers work d days.n workers work e days.

By the inverse proportion concept, we get

m/n = e/d

e = md/n days

To complete one-third of the job, they need

⅓e = ⅓ (md/n)

⅓e = md/3n

Hence, it will take md/3n days to complete the one-third of the job.

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