What is the meaning of "an n-ary relation R is a set of n-tuples"?

Answer:

B

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180° , so

∠ c + 56° + 38° = 180°

∠ c + 94° = 180° ( subtract 94° from both sides )

∠ c = 86°

Answer:

ok first we can simplyfy 4 3/6 to 4 1/2 and 5 4/8 to 5 1/2 so

4 1/2* 5 1/2

now we need to convert into improper fractions so

9/2*11/2=99/4 then we need to simplfy

24 3/4

Hope This Helps!!!

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P \(e^{rt} }\)

14,000 = 6,400 (\(e^{0.05t}\))

\(e^{0.05t}\) = \(\frac{14000}{6400}\)

\(e^{0.05t}\)  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = \(\frac{0.78}{0.05}\)

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

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Answer:0.12

Step-by-step explanation:

Answer: 0.12.

explanation? sure.

first you get your quoitent then round it

(0.12179487179)

0.12.

there- (　o=^•ェ•)o　┏━┓

Given:

The carpenter spent 7/8 of his money on bags of sand for the sandbox.

Let the amount that carpenter having be 'x'

The money carpenter start with $318.40

Answer:

1 student.

Step-by-step explanation:

Two thirds of the students preferred chocolate ice cream:

2/3 of 36 is 24 students.

One fourth of the students preferred strawberry ice cream:

1/4 of 36 is 9.

9+24= 35

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

36-35=1

Only one student preferred vanilla ice-cream.

Answer:

1

Step-by-step explanation:

2/3 × 36

= 24 students preferred Choclate Ice cream

1/4 × 36

= 9 students prefer strawberry ice cream

total students who prefer Chocolate or Strawberry

9+24

=35

Remaining students

36-35

=1

only 1 student preferred vanilla ice cream

Answer:

  10 minutes

Step-by-step explanation:

Assuming men and minutes are interchangeable, 3 times as many men can be assumed to assemble the toys in 1/3 as much time.

21 men can make 21 toys in 30/3 = 10 minutes.

_____

Additional comment

We have to assume there are no rate-limiting steps in the process. This assumption is not always valid.

Answer:

23,7777

Step-by-step explanation:

because 13% died

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Given the radius of the cylinder is 5 inches, while the height is 16 inches, therefore, the volume of the cylinder will be,

Volume of the cylinder = πr²h = π×(5)²×16 = 1,256.637 in³ ≈ 1,256 in³

Hence, the volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.

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Answer:

g(x) = 3x - 14 → A

Step-by-step explanation:    

y - 3x = - 14  

y = 3x - 14 so,  y = g(x)  

The rule for C(N(h)) is 760h + 380.

The cost when h = 10 hours is 7,980 dollars.

We have,

The rule for C(N(h)) can be found by substituting the expression for N(h) into the function C(x).

We have:

C(N(h)) = C(40h) = 19(40h) + 380 = 760h + 380.

Therefore, the rule for C(N(h)) is 760h + 380.

To find the cost when h = 10 hours, we can substitute h = 10 into the rule for C(N(h)):

C(N(10)) = C(40(10))

= C(400)

= 19(400) + 380

= 7,600 + 380

= 7,980 dollars.

Therefore,

The cost when h = 10 hours is 7,980 dollars.

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Answer:

c. 54\(\pi\) in.³

The volume of cylinder is 54\(\pi\) in.³

Step-by-step explanation:

Given that :-

To Find :-

Solution:-

We use formula

Volume of cylinder = π × (radius)² × h

Volume of cylinder = π × ( 3)² × 6.

Volume of cylinder = π × 9 × 6.

Volume of cylinder = 54\(\pi\) in.³

The formula we use,

→ Volume of cylinder = π × r² × h

It is given that,

→ Height (h) = 6 and radius (r) = 3.

Then we have to,

find the volume of the cylinder,

→ π × r² × h

→ π × 3² × 6

→ π × 9 × 6

→ 54π in.³

Thus, option (c) is the answer.

The final answer is 12 11/18.

What is difference?

Simplify both fractions and determine their lowest common denominators to determine the difference between them.

32 1/6 can be converted to an improper fraction by multiplying the whole number by the denominator of the fraction and then adding the numerator.

32 1/6 = (32 x 6 + 1)/6 = 193/6

19 5/9 can be converted to an improper fraction in the same way:

19 5/9 = (19 x 9 + 5)/9 = 176/9

Now we can subtract these fractions by finding a common denominator:

193/6 - 176/9

193/6 can be converted to an equivalent fraction with denominator 18 by multiplying both the numerator and denominator by 3:

193/6 = (193 x 3)/(6 x 3) = 579/18

176/9 can be converted to an equivalent fraction with denominator 18 by multiplying both the numerator and denominator by 2:

176/9 = (176 x 2)/(9 x 2) = 352/18

Now we can subtract these fractions:

579/18 - 352/18 = (579 - 352)/18 = 227/18

Therefore, the difference between 32 1/6 and 19 5/9 is 227/18, which can also be written as a mixed number:

227/18 = 12 11/18

So the final answer is 12 11/18.

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Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

The volume of the pyramid as shown in the diagram is 363.67 cm³.

Volume is the space occupied by a solid shape.

To calculate the volume of the Pyramid, we use the formula below.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence the volume of the pyramid is 363.67 cm³.

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Answer:

$585/month

Step-by-step explanation:

To determine how much money Mr. Smith has left over monthly to put into savings, we need to first calculate his monthly income and his monthly expenses, including taxes.

Mr. Smith's hourly rate is $20, and he works full time, which is typically 40 hours per week. Therefore, his weekly income is:

$20/hour x 40 hours/week = $800/week

To find his monthly income, we multiply his weekly income by the number of weeks in a month:

$800/week x 4 weeks/month = $3,200/month

To find his monthly expenses, we add up the amounts for his household and automobile expenses:

$1,410/month (household) + $405/month (automobile) = $1,815/month

Since Mr. Smith gets about 25% of his income taken out for taxes, we need to calculate the amount of taxes he pays each month:

$3,200/month x 0.25 = $800/month (taxes)

Now we can subtract his monthly expenses and taxes from his monthly income to find out how much money he has left over to put into savings:

$3,200/month - $1,815/month - $800/month = $585/month

Therefore, Mr. Smith has $585/month left over to put into savings after paying his expenses and taxes.

Im diying:(

dont be mean man

The solution to the inequality expression is n < -9

The inequality expression is given as

4n - 6(n + 1) > 12

Open the bracket in the above inequality expression

4n - 6n - 6 > 12

Evaluate the like terms

-2n > 18

Divide both sides by -2

n < -9

Hence, the solution to the inequality expression is n < -9

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The length of the circle is approximately 9.237 cm.

What are the diagonals of a rhombus?
A rhombus is a quadrilateral with all sides of equal length. It also has the following properties regarding its diagonals:

The diagonals bisect each other at 90 degrees.

The diagonals are perpendicular to each other.

The diagonals have the same length.

The diagonals divide the rhombus into four congruent triangles.

In a rhombus with a side of 8 cm and an angle of 60 degrees, the diagonals are equal in length.

The length of the diagonals can be found using the formula:

\($D_1 = \frac{2a}{\sqrt{3}}$\)

where a is the length of the side. Substituting the value of a as 8 cm, we get:

\($D_1 = \frac{2(8)}{\sqrt{3}} \approx 9.237 \text{ cm}$\)

The length of the circle inscribed in the rhombus is equal to the length of the diagonals.

Therefore, the length of the circle is approximately 9.237 cm.

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Check the picture below.

\(\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=x\\ h=6x-20\\ A=50 \end{cases}\implies 50=\cfrac{1}{2}(x)(6x-20) \\\\\\ 50=\cfrac{6x^2-20x}{2}\implies \boxed{50=3x^2-10x}\)

The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to

To simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.

Expanding the squared terms

(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)

Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:

(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)

Simplifying the expression, we have:

2 + 2sinxcosx + 2

Combining like terms, we get:

4 + 2sinxcosx

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1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Answer:

Bb

Step-by-step explanation:

Answer:

Step-by-step explanation:

Corresponding sides have same ratio:

Correct option is B

Answer:

2

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

at least I think it is

Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

Answer:

1. A

2. Simplification: (not sure)

\( \frac{ - 3x {}^{5} + 6x { }^{2} - 4x - 15 }{9x {}^{2} - 12x + 4 } \)

Answer is the ratio 11:13

==========================================================

Explanation:

Start by writing the ratio 198:234 in that exact order

Then factor each piece

198 = 18*11

234 = 18*13

We see that 18 is the GCF of 198 and 234. Divide both parts by the GCF to end up with these results

198/18 = 11

234/18 = 13

Therefore, the ratio 198:234 fully reduces to 11:13

Answer:

A=3rd one

B=Yes, Its a straight line through the origin

C=1 cookie costs $0.75

Step-by-step explanation:

The reason why C is $0.75 is because of ratios.

2:$1.5

2 divided by 2=1

2 divided by $1.50=$0.75

$0.75 per cookie

Answer:

3 + 5x

Step-by-step explanation:

A product is the result of multiplication. In this problem, 3 is a number, 5x is the product (5x = 5 * x =  result of multiplication; a product).

Answer:

3+5x

Step-by-step explanation:

If i am wrong I'm so sorry but this seems correct...hope this helps and don't cry i know school is hard but you can always ask for help on here :)

Answer:

The set M of all square numbers less than 80 is:

M = {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set N of all non-negative even numbers that are under 30 is:

N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

Answer:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Step-by-step explanation:

A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.

The square numbers less than 80 are:

An even number is an integer that is divisible by 2 without leaving a remainder.

The non-negative even numbers that are under 30 are:

Therefore:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Answer:

Step-by-step explanation:

Given

To find

Solution