The Zenith occurs in fall equinox. At the same day, find the altitude of the sun at noon at Phnom Penh city (11.50N).

Note: subject Earth Science.

Answers

Answer 1

Answer:

  78.50°

Step-by-step explanation:

On either equinox, the sun is overhead at the equator. At 11.50 N, the sun will be at elevation ...

  90° -11.50° = 78.50°


Related Questions

What is the slope of a line that is perpendicular to y=5/4x+50

Answers

Answer:

-4/5

Step-by-step explanation:

Because a perpendicular slope is the the opposite of the original slope.

Answer:

m=-4/5

Step-by-step explanation:

A line perpendicular simply has the negative reciprocal of the slope of the line they gave you. This means you flip it, and multiply by -1 conceptually.  

What is its length? Enter the correct answer. The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 34 meters and its length is 2 meters more than twice its width. 000 Clear all​

Answers

Answer:

Width = 5 meters

Length = 12 meters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 34 meters

Width = x meters

Length = 2x + 2 meters

Perimeter of a rectangle = 2(length + width)

34 = 2{(2x+2) + x}

34 = 2(2x + 2 + x)

34 = 2(3x + 2)

34 = 6x + 4

34 - 4 = 6x

30 = 6x

x = 30 / 6

x = 5 meters

Width = x meters = 5 meters

Length = 2x + 2 meters

= 2(5) + 2

= 10 + 2

= 12 meters

Sam wants to create a linear function and an exponential function, both of which have a y-intercept
of (0,8) and pass through the point (9,512). Help Sam create his functions.

Answers

Step-by-step explanation:

Exponential function is

\(y = a \times {b}^{x} \)

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

\(y = 8 \times {b}^{x} \)

Now, plug in 9 for x. 512 for y to find b.

\(512 = 8 \times {b}^{9} \)

\(64 = {b}^{9} \)

\( \sqrt[9]{64} = b\)

\(64 {}^{ \frac{1}{9} } = b\)

\(4 {}^{ \frac{1}{3} } = b\)

\( \sqrt[3]{4} = b\)

So the equation is

\(y = 8( \sqrt[3]{4} ) {}^{x} \)

A passenger train has 12 cars with a total of 204 people on it. How many people per car?

Answers

Answer:

17

Step-by-step explanation:

204 / 12 = 17

CAN SOMEONE HELP ME WITH THIS PLEASE?

CAN SOMEONE HELP ME WITH THIS PLEASE?

Answers

Answer:

Y= 4   and    X=2

Step-by-step explanation:

When you are trying to find the X or Y value for an equation, set the opposite value to zero. That means that if you are trying to find Y in 6x+3y=12, you would make the X zero. Since six is being multiplied by X and X now equals zero, your equation for finding the Y value is now 3y=12. Divide them both by three and you get Y=4. In order to find your X value you would do the same thing. Since you are trying to find X, set the Y value to zero. That makes your equation for finding the X value 6x=12. That is because, again, you set Y to zero, and three times zero is zero. 6x=12 equals X=2 because you divide both sides by 6.

Answer:4y    2x    i need only one brainlist to upgrade my level pls

Ste-by-step explanation:

If a matrix is diagonalizable then it is invertible.
a. True
b. False

Answers

If a matrix is diagonalizable then it is invertible is False.

A matrix can be diagonalizable but not invertible. For example, the zero matrix (a matrix where all entries are 0) is diagonalizable but not invertible.

What is diagonalizable metrix?

A diagonalizable matrix is a square matrix that can be transformed into a diagonal matrix through a similarity transformation. In other words, a matrix A is diagonalizable if there exists an invertible matrix P and a diagonal matrix D such that A = PDP⁻¹.

Geometrically, diagonalizable matrices represent linear transformations that stretch or shrink the space along a set of independent directions, which are called eigenvectors. The diagonal entries of the diagonal matrix D correspond to the eigenvalues of A, which represent the scaling factors along these directions.

Not all matrices are diagonalizable. A matrix is diagonalizable if and only if it has a sufficient number of linearly independent eigenvectors. In particular, symmetric matrices are always diagonalizable, and non-diagonalizable matrices are often associated with non-invertible linear transformations or defective geometric structures.

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Complete question is: If a matrix is diagonalizable then it is invertible is False.

11. One restaurant offers two large pizzas for the same price as two medium
pizzas and a $6 pitcher of drinks. The medium pizza costs $3 less than the
large pizza. How much could a large pizza cost? Justify your answer.

Answers

Let x = large pizza, y = med pizza
y = x - 3
2x = 2y + 6
2x = 2(x - 3) + 6
2x = 2x - 6 + 6
0 = 0

There are an infinite number of solutions.
A large pizza could be $10 and a medium $7.
2(10) = 2(7) + 6
20 = 20

A large pizza could be $10 and a medium pizza could be $7.

What is solution?

A solution is a specific kind of homogeneous mixture made up of two or more substances that is used in chemistry. A solute is a substance that has been dissolved in a solvent, which is the other substance in the mixture. Chemical polarity effects are involved in the mixing of a solution at a scale that leads to interactions that are unique to solvation. When the solvent makes up a larger portion of the mixture, as is frequently the case, the solution typically has the state of the solvent. The concentration of a solution, which measures how much solute is present in a specific volume of solution or solvent, is one crucial parameter. When water is one of the solvents, the phrase "aqueous solution" is used.

Let x = large pizza, y = med pizza

y = x - 3

2x = 2y + 6

2x = 2(x - 3) + 6

2x = 2x - 6 + 6

0 = 0

There are an infinite number of solutions.

2(10) = 2(7) + 6

20 = 20

Hence, a large pizza could be $10 and a medium pizza could be $7.

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We want to find the zeros of this polynomial: p(x)=(2x-1)(x+3)(x+1)(x-2) Plot all the zeros (xxx-intercepts) of the polynomial in the interactive graph.

Answers

Answer:

i don't understand the question

Answer:

Step-by-step explanation:

(2x+5) x=-5/2

(x+1) x=-1

(x-3) x=3

We want to find the zeros of this polynomial: p(x)=(2x-1)(x+3)(x+1)(x-2) Plot all the zeros (xxx-intercepts)

help me with this and I give you the brainliest asap​

help me with this and I give you the brainliest asap

Answers

Answer:

1) 34

2) 87

3) 75

4) 85

5) 133

6) 69

7) 59

8) 30

9) 118

Answer:

1. x=34°

2. x= 87°

3. x= 75°

4. x= 85°

5. x= 133°

6. x= 69°

7. x= 59°

8. x= 30°

9. x= 118°

hope it helped!

Need help math question worth 30 points help plzzzzzz

Need help math question worth 30 points help plzzzzzz

Answers

Answer:

c

Step-by-step explanation:

because the real awnser is 57/4 but simpfly

Answer:

C) \(14\frac{1}{4}\)

explanation:

\(4\frac{5}{6} +4\frac{2}{3} +4\frac{3}{4} \\\\\frac{29}{6} +\frac{14}{3} +\frac{19}{4} \\\\\frac{58}{12} +\frac{56}{12} +\frac{57}{12} \\\\\frac{171}{12} \\\\14\frac{1}{4}\)

Which expression represents the area of the square? (Hint: A = s^2)
5x
A. 10x^3
B. 5x^6
C. 25x^5
D.25x^6

Which expression represents the area of the square? (Hint: A = s^2)5xA. 10x^3B. 5x^6C. 25x^5D.25x^6

Answers

Answer:

D

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Here s = 5x³ , then

A = 5x³ × 5x³

   = 5 × 5 × x³ × x³

   = 25 × \(x^{(3+3)}\)

   = 25\(x^{6}\) → D

Determine the transpose of each of the matrices that follow. In addition, if the matrix is square, compute its trace. (a) ( G: ) -4 -6 (b) 3 -1 4 7 -3 10 -8 (c) -2 (d) 2 -4 3 6 -5 6. (e) (1 -1 3 5) -2 5 1 (f) 7 0 1 -6 -4 (g) (h) -3 6 -3

Answers

(a) The transpose of matrix (G) is
(G)^T = (-4 6). The trace of a square matrix is the sum of the diagonal elements, so for this matrix, the trace is -4 + 6 = 2.

(b) The transpose of matrix (b) is (b)^T = (3 4 -1 7 -3 -8 10). The trace of this matrix is 3 + 7 + -8 = 2.

(c) The transpose of matrix (c) is (c)^T = (-2). Since this is not a square matrix, its trace is not defined.

(d) The transpose of matrix (d) is (d)^T = (2 -4 3 -5 6 6). The trace of this matrix is 2 + -5 + 6 = 3.

(e) The transpose of matrix (e) is (e)^T = (1 -2 -1 5 3 1 5). Since this is not a square matrix, its trace is not defined.

(f) The transpose of matrix (f) is (f)^T = (7 -4 0 1 6 -6). The trace of this matrix is 7 + 1 + -6 = 2.

(g) The transpose of matrix (g) is not given.

(h) The transpose of matrix (h) is (h)^T = (-3 6 -3). The trace of this matrix is -3 + 6 + -3 = 0.

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The transpose and the trace of each of the matrix are: (a) (-4, 3, -2, 2), (-6, -1, -4, -4), (4, 7, 3, 6), (-3, 10, -5, 6) ; 4.  (b) 3, -1, 4, 7, -3, 10, -8 ; 2.  (c) -2 ; -2.  (d) 2, -4, 3, 6, -5, 6 ; 14.  (e) (1, -2, 7, -3), (-1, 5, 0, 6), (3, 1, 1, -3), (5, -4, -6) ; 3.  (f) 7, 0, 1, -6, -4 ; 3.  (g) the transpose is not defined ; -3.  (h) -3, 6, -3 ; 0.  

The transpose of a matrix is a way of changing the orientation of the matrix by flipping its rows and columns. To transpose a matrix, each element of the original matrix is placed in a new position relative to its original location.

For matrix (a), the transpose is given by: (-4, 3, -2, 2), (-6, -1, -4, -4), (4, 7, 3, 6), (-3, 10, -5, 6).

For matrix (b), the transpose is given by: 3, -1, 4, 7, -3, 10, -8.

For matrix (c), the transpose is given by: -2.

For matrix (d), the transpose is given by: 2, -4, 3, 6, -5, 6.

For matrix (e), the transpose is given by: (1, -2, 7, -3), (-1, 5, 0, 6), (3, 1, 1, -3), (5, -4, -6).

For matrix (f), the transpose is given by: 7, 0, 1, -6, -4.

For matrix (g), the transpose is not defined, as there is only one element.

For matrix (h), the transpose is given by: -3, 6, -3.

If the matrix is square, we can calculate the trace of the matrix. The trace is the sum of the elements on the main diagonal, i.e. the elements in positions (1,1), (2,2), etc.

For matrix (a), the trace is given by: (-4) + 7 + (-5) + 6 = 4.

For matrix (b), the trace is given by: 3 + 7 + (-8) = 2.

For matrix (c), the trace is given by: -2.

For matrix (d), the trace is given by: 2 + 6 + 6 = 14.

For matrix (e), the trace is given by: 1 + 5 + (-3) = 3.

For matrix (f), the trace is given by: 7 + (-4) = 3.

For matrix (g), the trace is given by: -3.

For matrix (h), the trace is given by: -3 + 6 + (-3) = 0.

In summary, the transposes and traces of the matrices are given as follows:

Matrix (a): Transpose: (-4, 3, -2, 2), (-6, -1, -4, -4), (4, 7, 3, 6), (-3, 10, -5, 6); Trace: 4.

Matrix (b): Transpose: 3, -1, 4, 7, -3, 10, -8; Trace: 2.

Matrix (c): Transpose: -2; Trace: -2.

Matrix (d): Transpose: 2, -4, 3, 6, -5, 6; Trace: 14.

Matrix (e): Transpose: (1, -2, 7, -3), (-1, 5, 0, 6), (3, 1, 1, -3), (5, -4, -6); Trace: 3.

Matrix (f): Transpose: 7, 0, 1, -6, -4; Trace: 3.

Matrix (g): Transpose: -3; Trace: -3.

Matrix (h): Transpose: -3, 6, -3; Trace: 0.

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Write the equation of the line that is parallel to the line 5x+2y=10 and passes through the point (-6,7)

Answers

Answer:

I do know

Step-by-step explanation:

Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?
Equation:
1
4
a +
1
3
a + 8 = 22
Carrie’s allowance was $.

Answers

Answer:

$24

Step-by-step explanation:

Let the total amount of her allowance = a

We are told that she spent $8 on belt

And the total amount she spent = $22

The Fraction of allowance spent on

Shirt = 1/4

Skirt = 1/3

Hence, the equation is given as:

1/4 × a + 1/3 × a + $8 = $22

Collect like terms

a/4 + a/3 = $22 - $8

a/4 + a/3 = $14

The Lowest Common Denominator = 12

3a + 4a/12 = $14

7a/12 = $14

Cross Multiply

7a = $14 × 12

7a = $168

a = $168/7

a = $24

Therefore, her total allowance = $24

Answer:

its 24 i took the quiz :)

A non-right triangle has sides 4 and 7 and a 30-degree angle in between. if this triangle is possible, what is the area of this triangle?

Answers

The answer is , the area of this triangle is 14 unit².

To find the area of this non-right triangle with sides 4 and 7 and a 30-degree angle between them, we can use the formula for the area of a triangle given two sides and the included angle:
Area = (1/2) * side1 * side2 * sin(angle)
Plugging in the given values:
Area = (1/2) * 4 * 7 * sin(30)
Since sin(30) = 0.5, the equation simplifies to:
Area = (1/2) * 4 * 7 * 0.5
Area = 2 * 7
Area = 14 unit²
So, the area of this triangle is 14 unit².

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One thousand pounds of grain were packaged in five-pound bags. How
many bags were there?

Answers

Answer: 200

Step-by-step explanation:

you need to do : 1000 divided by 5 = 200

that means there were 200 bags because,

5 x 200 = 1000

please help me on the blank ones

please help me on the blank ones

Answers

Answer:

A. (12 , -12)

B. (-2 , -8)

C. (15 , 0)

E. (0 , 12)

Step-by-step explanation:

Answer:

(12, -12)(-2, -8)(15, 0)Correct ✅(0, 12)

Consider the solid obtained by rotating the region bounded by the given curves about the x-axis:
y=3x^2, y=3x , x ≥0.
Find the volume.

Answers

The volume of the solid is approximately 16.94 cubic units.

The intersection point of the two curves is (2, 6).

To find the height and radius of each cylindrical shell. Let's take a small vertical strip of width dx at a distance x from the y-axis. The height of this strip is the difference between the two curves:

h(x) = 3x - 3x^2

The radius of the shell is simply x, since it is the distance from the y-axis to the edge of the region.

The volume of each cylindrical shell is given by:

dV = 2πrh dx

Substituting for h and r, we get:

dV = 2πx(3x - 3x^2) dx

Integrating from x = 0 to x = 2, we get:

V = ∫(0 to 2) 2πx(3x - 3x^2) dx

Simplifying and integrating, we get:

V = π[2^4 - 2(2^5/5) + 2^6/9]

Therefore, the volume of the solid is approximately 16.94 cubic units.

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2x +1 =23 what is the answer

Answers

Hey there!

“2x + 1 = 23”

SUBTRACT by 1 to BOTH SIDES

2x + 1 – 1 = 23 – 1

CANCEL out: 1 – 1 because it gives you the value of 0

KEEP: 23 – 2 because it helps us solve for x

“23 – 1 = 22”

NEW EQUATION: 2x = 22

DIVIDE by 2 to BOTH SIDES

2x/2 = 22/2

CANCEL out: 2/2 because that gives you 1

KEEP: 22/2 because it helps us solve for x

Answer: x = 11 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar triangles. Triangle 1 has side lengths 14, 21, blank. Triangle 2 has side lengths 18, 27, blank. a. StartFraction 14 Over 27 EndFraction = StartFraction 21 Over 28 EndFraction = StartFraction 14 Over 27 EndFraction b. StartFraction 14 Over 18 EndFraction = StartFraction 21 Over 27 EndFraction = StartFraction 7 Over 9 EndFraction c. StartFraction 14 Over 21 EndFraction = StartFraction 18 Over 27 EndFraction = StartFraction 2 Over 3 EndFraction d. StartFraction 27 Over 14 EndFraction = StartFraction 28 Over 21 EndFraction = StartFraction 27 Over 14 EndFraction Please select the best answer from the choices provided A B C D

Answers

Answer:

Step-by-step e123232321xplanation:

32dscscfgqasedrfdf

Camacho is buying a monster truck. The price of the truck is a dollars, and he also has to pay a 13% monster truck tax. Which of the following expressions could represent how much Camacho pays in total for the truck? Choose 2 answers: D (1 + 0.13)x 13 100 13x X 1.13x Smy 13x + x​

Answers

The expression which represents the given relatiοn is  x(1 + 0.13). Thus, option A is cοrrect.

What are equations?

Equatiοns are statements in mathematics that have twο algebraic expressiοns οn either side οf the equals (=) sign. It shοws that the expressiοns printed οn the left and right sides have an equal relatiοnship.

In any mathematical equatiοn, we have LHS = RHS (left hand side = right hand side). Equatiοns can be sοlved tο find the value οf an unknοwn variable that represents an unknοwn quantity.

If there is nο "equal tο" symbοl, a statement is nοt an equatiοn. When twο expressiοns have equal values, a mathematical statement knοwn as an equatiοn includes the symbοl "equal tο" between them.

Let the x represent the price οf  mοnster truck

Then He has tο pay extra 13% οf the tοy = 0.13

Tοtal price = x + x × 0.13

simplifying

x + x × 0.13

x + 0.13x

x(1 + 0.13)  ⇒ οptiοn A

x(1.13)

1.13x   ⇒ οptiοn D

Thus, The expressiοn which represents the given relatiοn is x(1 + 0.13). Thus, οptiοn A and D is cοrrect.

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Complete question:

Camacho is buying a monster truck. The price of the truck is x dollars, and he also has to pay a %13 monster truck tax. Which of the following expressions could represent how much Camacho pays in total for the truck?

Choose 2 answers:

(Choice A) (1+0.13)x

(Choice B) 13/100 x

(Choice C) 14x

(Choice D) 1.13x

(Choice E) 13x+x

A statistical procedure for analyzing the results of multiple studies to reach an overall conclusion is known as

Answers

The statistical procedure for analyzing the results of multiple studies to reach an overall conclusion is known as meta-analysis.

Meta-analysis is a statistical technique used to combine and analyze data from multiple independent studies on a specific research question or topic. It involves systematically reviewing and synthesizing the results of individual studies to draw an overall conclusion or estimate the effect size of an intervention or phenomenon.

In a meta-analysis, researchers collect data from each study, including the study design, sample size, and effect size measures. The effect size represents the magnitude of the observed effect or relationship of interest. By pooling the effect sizes across studies, researchers can assess the overall effect and test its statistical significance.

Meta-analysis provides several advantages, including increased statistical power due to larger sample sizes, the ability to generalize findings across multiple studies, and the opportunity to identify patterns or sources of heterogeneity across studies.

Overall, meta-analysis is a valuable statistical procedure that allows researchers to synthesize and interpret findings from multiple studies, providing a more comprehensive and robust understanding of a research topic.

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3. Solve your equation to find the distance Jane’s trainer bikes. Show your work.


4. How much farther does Jane travel than her trainer?







(my previous answers so this will make sense)


1. The total distance jane bikes and runs is 28 miles.

2. Janes trainer bikes a distance of 20 miles.

Answers

Jane travels 8 miles much farther than her trainer. The solution is obtained using arithmetic operations.

What are arithmetic operations?

By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions add, subtract, divide, and multiply additionally allow for the specification of arithmetic operations.

3. Using pythagoras theorem, we get the equation as D² = 12² + 16².

⇒D² = 144 + 256

⇒D² = 400

⇒D = √400

D = 20

4. Jane has traveled 28 miles in total whereas her trainer has traveled 20 miles.

So, the difference is 28-20= 8 miles

Hence, Jane travels 8 miles much farther than her trainer.

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Dave bought 8 boxes of chocolate candy and gave 2 boxes to his little brother. if each box has 17 pieces inside it, how many pieces did dave still have?

Answers

Answer:

17×6=102 because he gave 2 boxes to his brother so he have 6 boxes

three-fourths the square of a number
O 3 (4x^2)
O (3/4)(2x)
O 3(x^4)
0 (3/4)X^2

What’s the answer??

Answers

The last one is correct

1. You draw one card from a standard 52-card deck. In how many ways could the card be a jack or a queen?​

Answers

Answer:

4/52

Step-by-step explanation:

We multiply these three individual probabilities together to get P(QQQ) = P(Q)P(Q)P(Q) = (4/52)(4/52)(4/52)

HOPE THIS HELPS

Probability of first marriage among women. A National Center for Health Statistics (NCHS) brief report by the Centers for Disease Control and Prevention (CDC) in 2009 identified that about 6% of women in the United States mar- ried for the first time by their 18th birthday 50% married by their 25th birthday, and 74% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by each of the following ages? la) 18 years of age b) 25 years of age c) 30 years of age

Answers

The probability that both will be married before the age of 18 is 0.0036. The probability that both will be married by the age of 25 is 0.25. Finally, the probability that both will be married by the age of 30 is 0.5476.

According to the brief report by NCHS, approximately 6% of women in the United States married for the first time before their 18th birthday, and 50% of women married by their 25th birthday. 74% of women married by their 30th birthday.The probability of a family with two daughters marrying at different ages is asked in the question. The probability that both daughters will be married by the ages of 18, 25, and 30 will be determined

The question requires finding the probability that both daughters of a family will be married by the ages of 18, 25, and 30 respectively. Since each daughter's wedding is a separate event, the individual probability of a daughter marrying at a given age will be determined separately and then multiplied together to get the probability of both daughters being married at the given age. So, let's find the probabilities of each daughter marrying at a given age:

Probability of one daughter getting married by 18 years:

As per the brief report, 6% of women in the United States married before the age of 18.

Therefore, the probability of one daughter getting married before the age of 18 is 0.06

Probability of one daughter getting married by 25 years:

As per the brief report, 50% of women in the United States get married by the age of 25. Therefore, the probability of one daughter getting married by 25 years is 0.5.

Probability of one daughter getting married by 30 years:

As per the brief report, 74% of women in the United States get married by the age of 30. Therefore, the probability of one daughter getting married by 30 years is 0.74.

The probability of both daughters getting married at the same age is the product of each daughter's probability of getting married at that age.

The probability that both daughters will get married before the age of 18 is:

P(both daughters married at 18 years) = P(daughter1 married at 18) × P(daughter2 married at 18)= 0.06 × 0.06= 0.0036

The probability that both daughters will get married by the age of 25 is:

P(both daughters married at 25 years) = P(daughter1 married at 25) × P(daughter2 married at 25)= 0.5 × 0.5= 0.25

The probability that both daughters will get married by the age of 30 is:

P(both daughters married at 30 years) = P(daughter1 married at 30) × P(daughter2 married at 30)= 0.74 × 0.74= 0.5476

The probability that in a family with two daughters, both will be married before the age of 18 is 0.0036. The probability that both daughters will be married by the age of 25 is 0.25. Finally, the probability that both daughters will be married by the age of 30 is 0.5476.

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an unnormalized relation is a table that has more than one row.

Answers

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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Juan is a tennis player who has won 52% of his tennis matches.
What is the probability that he will lose his next tennis match?
48%
2%
52%
50%

Answers

The probability that Juan loses his next tennis match is 48%

How to determine the probability that he will lose his next tennis match?

From the question, we have the following parameters

The proportion of tennis matches won

p = 52%

This proportion implies that the probability that the player will win his next tennis match

So, we have the following representations

Probability of winning, p = 52%

Express the percentage as decimal

So, we have the following representations

Probability of winning, p = 0.52

The probability of losing the next match is the complement of the probability of winning

This is represented as

Probability of losing = 1 - Probability of winning,

Substitute the known values in the above equation

So, we have the following equation

Probability of losing = 1 - 0.52

Evaluate

Probability of losing = 0.48

Hence, the probability is 0.48 or 48%

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Y varies 1/x², when X=2, Y=1. Find the values of X when Y=4/9.​

Answers

Answer:

x = ± 3

Step-by-step explanation:

given y varies as \(\frac{1}{x^2}\) , then

y = k × \(\frac{1}{x^2}\) = \(\frac{k}{x^2}\) ← k is the constant of variation

to find k use the condition x = 2 , y = 1

1 = \(\frac{k}{2^2}\) = \(\frac{k}{4}\) ( multiply both sides by 4 )

4 = k

y = \(\frac{4}{x^2}\) ← equation of variation

when y = \(\frac{4}{9}\) , then

\(\frac{4}{9}\) = \(\frac{4}{x^2}\) ( cross- multiply )

4x² = 36 ( divide both sides by 4 )

x² = 9 ( take square root of both sides )

x = ± \(\sqrt{9}\) = ± 3

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