suppose you are given a relation r with four attributes abcd. for each of the following sets of fds, assuming those are the only dependencies that hold for r, do the following: i) identify the candidate key(s) for r ii) identify the best normal form that r satisfies iii) if r is not in bcnf, decompose it into a set of bcnf relations a) c-->d, c-->a, b-->c b) b-->c, d-->a c) abc-->d, d-->a d) ab-->c, ab-->d, c-->a, d-->b

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

After combining the terms, we get 1) 20x² - 5xy + 14y² 2) a".

A coefficient is a numerical or constant factor that is multiplied to a variable or a term in an algebraic expression.

Combining similar terms together to simplify an algebraic statement is referred to as combining the terms in mathematics. Similar terms are those that share a variable and an exponent. We may reduce the expression and make it simpler to use by merging these terms.

1. To combine the terms, we can add the coefficients of the like terms:

17x² - 3xy - 2xy + 14y² + 3x²

= (17x² + 3x²) + (-3xy - 2xy) + 14y²

= 20x² - 5xy + 14y²

2. To combine the terms, we can add the coefficients of the like terms:

3a" - 4a" + 2a"

= (3a" + 2a") - 4a"

= 5a" - 4a"

= a"

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a.   Sophie's equation: 10+5a=b

Marcos' equation: 4+8a=b

a=number of hours  b=total needed for bike

b.   a=2 for their totals to be the same.

c.   b=20 for their totals to be the same.

work:

10+5(2) > 10+10 > 20

4+8(2) > 4+16 > 20

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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The final step of statistical analysis is interpreting your results.

The final step of statistical study is intepreting your result.

Statistical study is the collection and interpretation of data in order to uncover patterns and trends. It is a component of data analytics. Statistical analysis can be used in situations like gathering research interpretations, statistical modeling or designing surveys and studies.

The steps which are required during statistical study are:

Therefore, the final step of statistical study is intepreting your result.

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The method of reduction of order is a technique used to find a second solution to a homogeneous linear differential equation when one solution is already known.

However, it cannot be directly used for nonhomogeneous linear differential equations. In nonhomogeneous equations, the method of undetermined coefficients or variation of parameters is typically used to find a particular solution.

Therefore, the statement "the method of reduction of order can also be used for the nonhomogeneous equation" is false. It is important to understand the different techniques for solving differential equations, and to choose the appropriate method based on the type of equation and boundary conditions given.

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The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

The expression is given as:

(5.1)(5.12)4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1) * (5.1^8)

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1)^(1 + 8)

Evaluate the sum

(5.1)(5.1^2)^4 = (5.1)^9

Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

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Answer:

5198.4 grams of sand

Step-by-step explanation:

The bottom cube:

12*12*13= 144*13= 1872

The top pyramid:

144*6= 864

1872+864= 2736 cubic cm

THEN

2736*1.9= 5198.4 g of sand!

Brainliest plsss

Answer:

5.586 kg

Step-by-step explanation:

2940 ×1.9=  5586 kg or 5586 g

Answer:

steps below

Step-by-step explanation:

(a) first green: 8/23 AND 2nd green: 7/22

AND: multiplication.. 8/23 x 7/22 = 28/253 ≈ 0.11 (11%)

(b) 15/23 x 8/22

Answer:

answer in the diagram I hope it helps

Answer:

Tan 37 = opp/adj  =   1250/x    

where x = horiz distance

7535 = 1250/x      

x = 1658.8 ft

The horizontal distance from the helicopter to the landing pad is 1658.81 feet

The algebraic expression that can be represented by the statement is -5x/2 = 10

From the question, we have the following statement that can be used in our computation:

The negation of the product of five times a number divided by two is ten

Represent the variable with y

So, we have the following representation

The negation of the product of five times x divided by two is ten

Express the product as an actual product

So, we have the following representation

The negation of 5x divided by two is ten

Express the quotient as an actual quotient

So, we have the following representation

The negation of the 5x/2 is ten

Lastly, we have

-5x/2 = 10

Hence, the expression is -5x/2 = 10

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Answer:

15x -4 = 11x       and          4x+5=9x

9 timees11 = 20x

Step-by-step explanation:

20x for first anwer

thank me later emmitheblackbobcat

Answer:

I can't understand the person above. but by looking at his results; they are equivalent to mine for this question.

Answer:

31800

Step-by-step explanation:

53000*0.6

Answer:

Substitution (See Below)

Step-by-step explanation:

y = 4 (x) -9

y = 4(3) -9

y = 12 - 9

y = 3

(3, 3)

Answer:

Step-by-step explanation:

Perimeter=4y+4y+y+y

25=10y

We divide both sides with 10 => y=2,5

9514 1404 393

Answer:

Step-by-step explanation:

The perimeter is the sum of the side length. Each of the sides shown has the same length as its opposite, so the perimeter is ...

  P = 2(4y +y) = 10y

Using the given value for perimeter, we find y to be ...

  25 ft = 10y

  2.5 ft = y

__

Then the longer side is ...

  4y = 4(2.5 ft) = 10 ft . . . . length of longer side

Answer:

4n+13

Step-by-step explanation:

Answer:

4n+13

Step-by-step explanation:

group all the like terms together to get 5n-4n+3n= n+3n= 4n, and group 3+10 together to get 13. the finished answer should be 4n+13

Answer:

\(\frac{1}{3}\) x + 1

Step-by-step explanation:

\(\frac{1}{3}\) (x + 3) ← multiply each term in the parenthesis by \(\frac{1}{3}\)

= \(\frac{1}{3}\) x + 1

ఊhe directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.

To find the directional derivative of the function f(x, y, z) = 2z^2x + y^3 at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j, we can use the formula for the directional derivative:

D_v(f) = ∇f · v

where ∇f is the gradient of f.

Taking the partial derivatives of f with respect to each variable, we have:

∂f/∂x = 2z^2

∂f/∂y = 3y^2

∂f/∂z = 4xz

Evaluating these partial derivatives at the point (1, 2, 2), we get:

∂f/∂x = 2(2)^2 = 8

∂f/∂y = 3(2)^2 = 12

∂f/∂z = 4(1)(2) = 8

Therefore, the gradient ∇f at (1, 2, 2) is given by ∇f = 8i + 12j + 8k.

Substituting the values into the directional derivative formula, we have:

D_v(f) = ∇f · v = (8i + 12j + 8k) · (1/5√2)i + (1/5√2)j

= 8(1/5√2) + 12(1/5√2) + 8(0)

= (8/5√2) + (12/5√2)

= (8 + 12)/(5√2)

= 20/(5√2)

= 4/√2

= 4√2/2

= 2√2

Hence, the directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.

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Answer:

1/5 minutes

Step-by-step explanation:

✓Let the X= a bottle of water

✓Let y= number of minutes it will takes to fill a bottle

We can express the given statement as

1/3 X = 1/15 mins

X= ymins

If we cross multiply the two expression above we have

X/15 mins= X/3 mins * ymins

15 mins * X * y mins= 3X

Divide both sides by X

15 mins * y= 3

Make "y" the subject of the formula

y= 3/15 mins

Divide both numerator and denominator by factor of 3.

y= 1/5 minutes

Hence, the time it will take him to fill the bottle is 1/5 minutes

Answer:

⏬⬇⤵

Step-by-step explanation:

The Fundamental Theorem of Algebra states that the degree of a polynomial is the maximum number of roots the polynomial has. A third-degree equation has, at most, three roots.

So:

1. 3

2. 4

3. 3

4. 0

5. 1

6. 4

The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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The statement p is: Saturn is a planet.

The statement q is: Hong Kong is a city.

Now the first part of our composite proposition is:

This means that we have to negate the statement q, this would be: Hong Kong is not a city.

Now we make the disjunction between the statement p and the negation of q, then we have:

The second part of our composite porposition is:

This means that we have to negate the statement p, then we have: Saturn is not a planet. Then we make the conjunction between the negation of p and q, then we have:

Finally we make the disjunction between the statements discussed so far, hence the statament

means:

Saturs is a planet or Hon kong is not a city OR Saturn is not a planet and Hong Kong is not a city.

Now, to determine the truth value of the composite proposition we have to remember that a disjunction is TRUE if one of the statements that make it is true and that the conjunction is TRUE only if both stataments that make it are true.

The first statement is: Saturn is a planet or Hong kong is not a city. Since this is a disjunction and the statement Saturn is a planet is TRUE, then the proposition is true.

The second statement is: Saturn is not a planet and Hong Kong is not a city. Since this is a conjunction and the statement Saturs is not a planet is FALSE, the the second statement is FALSE.

Now since the composite statemtent is made of a TRUE and a FALSE statement and it is a disjunction we conclude that the truth value of the statement given is TRUE.

Answer:

Worker B needs 9 days to finish the rest of the work

Step-by-step explanation:

Proportions

Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.

Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do

\(\frac{1}{12}+\frac{1}{16}=\frac{7}{48}\)

After 3 days they have completed:

\(3*\frac{7}{48}=\frac{7}{16}\)

parts of the project, this means it still remains:

\(1-\frac{7}{16}=\frac{9}{16}\)

parts of the project and it is done by B alone. Since B does \(\frac{1}{16}\) per day, he now takes

\(\displaystyle \frac{\frac{9}{16}}{\frac{1}{16}}=9\)

days to complete the project.

Worker B needs 9 days to finish the rest of the work

Answer:

y=-5/2x+3/2

Step-by-step explanation:

5x+2y=3

2y=3-5x

2y=-5x+3

y=-5/2x+3/2

Answer:

(10, 5)

Step-by-step explanation:

(0, 5) reflected over x=5 becomes 10 units away from x = 0

Step-by-step explanation:

Let the missing integer be x

x - 3 = - 2

x = 3 - 2

x = 1

Therefore the missing integer is 1

Step-by-step explanation:

9.

x = 3

yes, that's really it.

it just means that any value is valid for y.

this line is not a function, because the one valid value for x (3) has infinitely many assigned y values.

10.

the usual equation for a line is

y = ax + b

with "a" being the slope, "b" being the y-intercept (the y-value when x = 0).

we see that b = 0, as the line goes through the origin (0, 0).

the slope is the ratio

y coordinate difference / x coordinate difference

when going from one point on the line to another.

we see e.g. the points (0, 0) and (1, -3). I always recommend to look for points with integer coordinates.

when going from one to the other,

x changes by +1 (from 0 to 1).

y changes by -3 (from 0 to -3).

the slope "a" = -3/1 = -3.

the line equation is

y = -3x