Solve for xx. Leave your answer in simplest radical form.
3
8
x
2


ANSWER ) x = sqrt51

Answers

Answer 1
This answer is 76 let me know if I’m wrong

Related Questions

Given 4 and one tenth times negative 4 times 5 over 12, determine the product. negative 16 and 5 over 120 16 and 5 over 60 negative 6 and five sixths 6 and five sixths

Answers

The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).

What is a numerical expression?

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).

= (41/10) × (- 4) × (5/12).

= (41×-4×5)/(10×12).

= (-820/120).

= - 82/12.

= - 41/6.

= \(-6\frac{5}{6}\).

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please help. are they Parallel, perpendicular or neither?

please help. are they Parallel, perpendicular or neither?

Answers

Answer:

The are Parallel

Step-by-step explanation:

As you can see the points, they are going straight which mean they will not intersect (Parallel)

please help. are they Parallel, perpendicular or neither?

Answer:

parallel

Step-by-step explanation:

yeah i think so

let p be a transition matrix of a regular markov chain and q be its steady state vector. what is the eigenvalue associated with vector q?

Answers

The Eigen Valve in λ = 1, in the transition matrix.

What is matrix?

An arrangement of numbers, factors, symbols, or phrases inside a rectangular table to various amounts of columns and rows is referred to as a matrix, which is the plural form of the word matrix. These rectangular arrays can perform addition, multiplication, as well as transposition operations, among other operations. The entries or numbers of a matrix are its constituent parts. In matrices, the horizontal and vertical entries are made reference to as rows and columns, respectively. There will be m n entries in a matrix to m rows as well as n columns. The capital "A" in this sentence needs to stand for "matrix," Aij.

Announce  a = L are correct answer
To understand the Markov chain- let assume P matrix of regular al transition matrix

P = \(\left[\begin{array}{cc}0.3&0.7\\0.7&0.3\\\end{array}\right]\)

λ I - A = 0

λ² - 0.6λ - 0.4 =0

λ = 1 or -0.4

Hence The Eigen Valve in λ = 1

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the aggregate demand curve is downward-sloping because, other things being equal,

Answers

the aggregate demand curve is downward-sloping because, other things being equal, With average price reductions, more people purchase goods and services.

This is known as the law of demand, which states that there is an inverse relationship between the price of a good or service and the quantity of that good or service demanded by consumers. When the price of a good or service goes up, consumers tend to demand less of it, and when the price goes down, consumers tend to demand more of it. Therefore, if all other factors affecting demand remain constant, an increase in price will lead to a decrease in the quantity demanded, and a decrease in price will lead to an increase in the quantity demanded. This is why the aggregate demand curve is downward-sloping.

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Compete Question

the aggregate demand curve is downward-sloping because, other things being equal, ____. FILL IN THE BLANKS

Find the area of hexagon DEFGHI.

Find the area of hexagon DEFGHI.

Answers

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Find the area of hexagon DEFGHI.

how long a ladder is needed to reach a windowsill 50 feet above the ground if the ladder rests against the building making an angle of 5π125π12 with the ground? round to the nearest foot.

Answers

The ladder should be approximately 61.8 feet long to reach the windowsill 50 feet above the ground. Rounded to the nearest foot, the length of the ladder needed is 62 feet.

To find the length of the ladder needed to reach a windowsill 50 feet above the ground, we can use the trigonometric relationship of a right triangle.

Let's denote the length of the ladder as L. The ladder forms a right triangle with the ground and the side of the building. The height of the windowsill is the opposite side, and the distance from the base of the ladder to the building is the adjacent side.

The angle between the ladder and the ground is given as 5π/12 radians.

Using the trigonometric function tangent (tan), we can set up the following equation:

tan(5π/12) = height / distance

tan(5π/12) = 50 / distance

To solve for the distance, we rearrange the equation:

distance = 50 / tan(5π/12)

Using a calculator, we can evaluate the tangent of 5π/12 radians:

tan(5π/12) ≈ 1.37638192047

Substituting this value back into the equation:

distance ≈ 50 / 1.37638192047

distance ≈ 36.3114 feet

Therefore, the distance from the base of the ladder to the building is approximately 36.3114 feet.

To find the length of the ladder, we can use the Pythagorean theorem:

L^2 = distance^2 + height^2

L^2 = 36.3114^2 + 50^2

L^2 ≈ 1317.7532 + 2500

L^2 ≈ 3817.7532

L ≈ √3817.7532

L ≈ 61.8 feet

Therefore, the ladder should be approximately 61.8 feet long to reach the windowsill 50 feet above the ground. Rounded to the nearest foot, the length of the ladder needed is 62 feet.

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CH. 15. THE GREENHOUSE EFFECT 1. Taking d
Vermes

=1.08×10
13
cm,r


=6.96×10
50
cm, and T
0

=5800 K as we had before, calculate T
5s

for Venus. (Remember to take the square root.) 2. How does this compare with the 700 K temperatures measured by Venus probes on the surface of Venus? 3. Use the formula at the beginning of this section with an average distance of Mars from the Sun of 2.28×10
13
cm, to calculate a T
SS

for Mars. 4. How does your calculated temperature compare with the observed subsolar temperature of Martian soil of 300 K ? 5. Compare and contrast the greenhouse effect Mars and Venus. Although the subsolar surface temperature on Mars would be quite pleasant, the average temperature for the planet's surface is about 212 K, far below the 273 K freezing point of water. However, photos have clearly shown that there are dry riverbeds on Mars, so water must have been liquid there at some time in the past. 6. Given the fact that Mars has extensive polar caps of frozen water and frozen CO
2

, can you guess how liquid water could have existed on Mars at times in the past?

Answers

1.  T5s = (1.08x10¹³ cm * (6.96x10⁵⁰ cm² / dVenus²))0.25 2. This

discrepancy is due to the greenhouse effect on Venus, where the thick

atmosphere traps heat and causes a much higher temperature. 3. TSS =

(1.08x10¹³ cm * (6.96x10⁵⁰ cm² / (2.28x10 cm)²))0.25. 4. different from the

observed subsolar.

1. To calculate T5s for Venus, we can use the formula

T5s = (\(Vermes * (r^{2} / dVenus^2))^{0.25}\).

Plugging in the given values, we have

T5s = (1.08x10¹³ cm * (6.96x10⁵⁰ cm² / dVenus²))0.25.

2. The measured surface temperature on Venus is around 700 K, which is significantly higher than the calculated T5s.

This discrepancy is due to the greenhouse effect on Venus, where the thick atmosphere traps heat and causes a much higher temperature.

3. Using the formula TSS = (\(Vermes * (r^2 / dMars^2))^{0.25}\),

we can calculate TSS for Mars. With the given average distance of Mars from the Sun (2.28x10 cm),

we have TSS = (1.08x10^13 cm * (6.96x10⁵⁰ cm² / (2.28x10 cm)²))0.25.


4. The calculated TSS for Mars is likely to be different from the observed subsolar temperature of Martian soil (300 K).

This difference can be attributed to various factors, such as the greenhouse effect, atmospheric composition, and surface conditions.

5. The greenhouse effect on Mars and Venus has distinct impacts on their surface temperatures.

While the subsolar surface temperature on Mars is relatively pleasant, the average temperature across the planet is about 212 K, well below the freezing point of water (273 K).

In contrast, Venus experiences a much higher average temperature due to the extreme greenhouse effect, resulting in surface temperatures of around 700 K.

6. The presence of extensive polar caps of frozen water and CO2 on Mars suggests that liquid water could have existed on the planet in the past.

One possible explanation is that Mars underwent climate changes, causing the frozen water and CO2 to melt and form liquid water.

However, further research is needed to fully understand the mechanisms behind the presence of liquid water on Mars in the past.\

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5) A 3-year-old dog is often considered to be 21 in human years. Assume that the age
of a dog varies directly with the age of a human. What is the human-year age of a dog
that is 14-years-old?

Answers

Answer:

98

Step-by-step explanation:

Answer:

Answer is 98

Step-by-step explanation:

You take 14 and times it by 7 to get 98

Could someone help me please.

Could someone help me please.

Answers

Answer:

D

Step-by-step explanation:

The expression is equal to 1/300

D is the only other one equal to 1/300

Five models each wore one of items by five designers on the catwalk . Can you figure out each models last name and which item , by who’ve designer , each wore

Answers

Model 1: Kate Jones, wore a coat by Armande.

Model 2: Manon Dupris, wore a pink dress by Fundi.

Model 3: Jody Taylor, wore all black, including shoes by Vergucci.

Model 4: Naomi Briant, wore a bag by Canale and gloves by Tom Buick.

Model 5: Tom Buick, wore a blue hat and shoes by Vergucci.

Based on the given information, we can deduce,

Model 1: First name is unknown. Last name is Jones. She did not wear Vergucci, carry a bag, or wear gloves or blue.

Model 2: First name is Kate. Last name is unknown. She did not wear the pink hat, which wasn't designed by Fundi or Tom Buick.

Model 3: First name is Naomi. Last name is Taylor. She did not wear gloves or shoes.

Model 4: First name is unknown. Last name is also unknown. She did not carry a red Vergucci bag.

Model 5: First name is Manon. Last name is unknown. She works for Armande, which doesn't make hats or gloves.

Model 6: First name is Jody. Last name is unknown. She wore all black but not by Canale, and she didn't wear a coat.

Model 7: First name is unknown. Last name is Dupris. She wore gold but not by Fundi or Armande, and she didn't wear gloves.

Model 8: First name is unknown. Last name is Briant. She wore Canale.

Model 9: First name is Tom. Last name is Buick. His collection was all blue.

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--The complete question is, Five models each wore one of five items by five designers on the catwalk. Can you figure out each model's last name and which item, by which designer, each wore?

1. Ms. Jones didn't wear Vergucci, carry a bag, or wear gloves or blue.

2. The pink hat wasn't Fundi or Tom Buick, and Kate didn't wear it.

3. Naomi Taylor didn't wear gloves or shoes.

4. The Vergucci bag wasn't red. 5. Manon works for Armande, which doesn't make hats or gloves.

6. Jody wore all black but not Canale," and she didn't wear a coat.

7. Miss Dupris wore gold but not by Fundi or Armande, and she didn't wear gloves.

8. Ms. Briant wore Canale.

9. Tom Buick's collection was all blue.--

At the performance of Seussical the Musical at your local high school, there are adult tickets and
student/child tickets. You're trying to remember the cost of each to tell your extended family to come see the
musical. Your friend, her mom, and her little sister paid a total of $23 on opening night, and you know that
another family paid $39 for two adults and three students. If 2 is cost of adult tickets and y is cost of student tickets, the two equations for these situations can be written as:

Answers

Answer:

The correct answer is -

x+2y = 23

2x+3y= 39

Step-by-step explanation:

given:

cost of family 1 = 23

number of adults in family one = 1

number of children = 2

cost of family 2 = 39

number of adults in family 1 = 2

number of children = 3

solution:

for the first condition of family one-

In this case, there is only one adult and 2 children and they paid 23 then if the adult cost is x and the children ticket cost is y then

number of adults*x+number of children*y = total cost

1*x + 2*y = 23

x+2y= 23 .......equation 1.

for family two:

In this case, there is two adult and 3 children and they paid 39 then if the adult cost is x and the children ticket cost is y then

number of adults*x+number of children*y = total cost

2*x + 3*y = 39

= 2x+3y = 39....... equation 2

thus, the correct equations are:

x+2y = 23

2x+3y= 39

At the performance of Seussical the Musical at your local high school, there are adult tickets andstudent/child

Simplify 5^3/5^7 leaving your anwser in index form

Answers

Steps:

Simplify:

5³/5⁷

= 5³/5⁷

= 5*5*5/ 5*5*5*5*5*5*5

=1/5⁴

=1/625 (Decimal: 0.0016)

Steps by Step:

5³/5⁷

=125/5⁷

=125/78125

=1/625

Answer:   =1/625       (Decimal: 0.0016)

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Hope this helps.

The diagrams below are not drawn to scale. If each diagram were drawn to scale, list down the angles in order from largest to smallest.​

The diagrams below are not drawn to scale. If each diagram were drawn to scale, list down the angles

Answers

The angles in order from largest to smallest:

a. ∠D > ∠B >∠A

b. Can not be determined as no information is given

a. Triangle DAB with sides DA = 8cm, AB = 13cm and BD = 7cm.

A triangle's longest side is opposite the largest interior angle, while its shortest side is opposite the smallest interior angle. As a result, it is possible to arrange triangle angles in order from largest to smallest using only the provided length measurements, even if you don't know the angles.

To arrange the angles from largest to smallest, start by identifying the largest side, AB = 13cm, the largest angle is then ∠D which is opposite to side AB.The next largest angle can then be found by finding the second largest side AD = 8cm, the second largest angle is then ∠B which is opposite to side AD.The shortest angle ∠A will be opposite to the shortest side, DB = 7cm.

b. We need to know the side lengths of a triangle in order to determine the order of the angles. As there is no information given, we can not determine the order.

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50 points and brainliest be fast pls

Find the length of the base of a triangle if one side is 3 cm longer than the base, and the other side is 5 cm shorter than the base. The perimeter of the triangle is 52 cm.

Answers

Answer:

base of triangle is 18 cm

Step-by-step explanation:

Perimeter of triangle: P = a + b + c

if a is the base

then b = a + 3

and c = a - 5

so a + b + c = P

a + (a + 3) + (a - 5) = 52

3a - 2 = 52

3a = 54

a = 54/3 = 18

PLEASE HELP ASAPPPPPP

PLEASE HELP ASAPPPPPP
PLEASE HELP ASAPPPPPP

Answers

Angle 2 and angle 3 are a pair of same-side interior angles

What are same side interior angles?

 Two angles that are on the same side of the transversal and inside                           (between) the two lines are referred to as same side internal angles.

What does the same side interior angle theorem states?

The same side interior angles theorem states that the same side interior angles are additional when two parallel lines are split by a transversal.

So, the pair of angle 2 and angle 3 is same side interior angle.

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a number multiplied by 6 and divided by five gives four more than a number

Answers

The expression represented by the statement is 6/5x = 4 + x

How to represent the mathematical statement as an expression?

From the question, the mathematical statement is given as

a number multiplied by 6 and divided by five gives four more than a number

Let the number be represented with x

So, we have the following representation

x multiplied by 6 and divided by five gives four more than x

The statement "gives" means equal to

So, we have

x multiplied by 6 and divided by five = four more than x

Rewrite multiplied by as *

So, we have

x * 6 and divided by five = four more than x

Rewrite divided by as /

So, we have

x * 6/5 = four more than x

"more than" as used here means addition

So, we have

x * 6/5 = 4 +  x

Lastly, we have

6/5x = 4 + x

Hence, the expression is 6/5x = 4 + x

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ı need help on this math assıgnment please on rationals

 need help on this math assgnment please on rationals

Answers

According to the information, we can infer that A. 1: Real, Rational, Integer, Whole, Natural, B. 5.1: Real, Rational, C. √(-142): Non-real, D. \(\pi\) (Pi): Irrational, Real, E. 2/3: Rational, Real, F. ∛(-27): Non-real, G. 0.671: Real, Rational, H. 3√7: Irrational, Real, I. 0: Real, Rational, Integer, Whole, Natural, J. -√16: Real, Rational.

What is the correct classification for each number?A. 1: It is a real number because it can be plotted on the number line. It is rational because it can be expressed as a fraction (1/1). It is an integer, whole number, and natural number as well.B. 5.1: It is a real number and rational because it can be expressed as a terminating decimal (5.1 = 51/10).C. √(-142): It is a non-real number because the square root of a negative number is not defined in the real number system.D. π (Pi): It is an irrational number because it cannot be expressed as a finite or repeating decimal. It is a real number.E. 2/3: It is a rational number because it can be expressed as a fraction. It is a real number.F. ∛(-27): It is a non-real number because the cubic root of a negative number is not defined in the real number system.G. 0.671: It is a real number and rational because it can be expressed as a decimal.H. 3√7: It is an irrational number because the cube root of 7 cannot be expressed as a fraction or terminating decimal. It is a real number.I. 0: It is a real number and rational because it can be expressed as a fraction (0/1). It is an integer, whole number, and natural number as well.J. -√16: It is a real number and rational because the square root of 16 is 4.

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 need help on this math assgnment please on rationals

An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1 3 yards of paper for one box and 5 6 yard of paper for the other box. The paper must be cut into pieces that are 1 6 yard long. How many pieces will the student cut to use for the gift boxes?

Answers

Answer:

25 pieces

Step-by-step explanation:

Given

\(Box_1 = 3\frac{1}{3}\)

\(Box_2 = \frac{5}{6}\)

\(Pieces = \frac{1}{6}\) yard

Required

Determine the number of pieces

First, we need to determine the total yards of paper

\(Total = Box_1 + Box_2\)

\(Total = 3\frac{1}{3} + \frac{5}{6}\)

\(Total = \frac{10}{3} + \frac{5}{6}\)

\(Total = \frac{20 + 5}{6}\)

\(Total = \frac{25}{6}\)

Divide by the size of the pieces to get the number of pieces

\(Number = Total/Pieces\)

\(Number = \frac{25}{6} / \frac{1}{6}\)

\(Number = \frac{25}{6} * \frac{6}{1}\)

\(Number = \frac{25}{1} * \frac{1}{1}\)

\(Number = 25\)


Find the value of the expression 12y - 2xy, when x = 5 and y = 10.

Answers

Answer: 20

12y - 2xy

Insert values into equation

12(10) - 2(5)(10)

120 - 2(50)

120 - 100

20

Answer:

12y-2xy

x=5, y=10

(12x10) -(2x5x10)

=120-100

=20

Step-by-step explanation:

1.first collect the information you have been given in the question to make answering of the question easy.

2.then substitute the x value (in this case 5) and the y value (10) into the expression 12y - 2xy on there respectful positions.

3.having done so, you can then multiply and thereafter subtract as the question requires you to do.

Note: only substitute the y and x values where y and x appear in the question.

Always start with multiplying, after substituting,before subtracting or adding.

Find the area of the parallelogram whose vertices are listed below. (-2, 0), (0, 3), (1, 3), (-1, 0).

Answers

The formula A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 is used to find the area of a parallelogram whose vertices are given. The vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0). The area of the parallelogram is 11/2 square units.

To find the area of a parallelogram whose vertices are given, we use the formula

A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 .

Here, ax and ay are the x and y coordinates of vertex A, bx and by are the x and y coordinates of vertex B, and cx and cy are the x and y coordinates of vertex C. Given the vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0).We will use the above formula to find the area of the parallelogram.

Area = |(-2(3)-0(1)+1(0)) + (0(0)-3(-1)+(-1)(-2))|/2

=|(-6+0+0)+ (0+3+2)|/2

=11/2 square units.

Hence, the area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

Therefore, the answer is: The area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

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Distribute to create an equivalent expression with the fewest symbols possible.
(1 - 25 +4h) - 5 =

Answers

Answer:

4h - 29

Step-by-step explanation:

\((1-25+4h)-5\\=(-24+4h)-5\\=(4h-24)-5\\=4h-24-5\\=4h-29\)

You could also write this solution as \(-29+4h\), but I just think \(4h-29\) looks nicer :)

HELP ME ASAP A die is rolled 8 times and you get 4, three times. What is the experimental probability of rolling a four?

Answers

Answer:

1/2 or 50%

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

The experimental probability is the ratio of actual outcomes and total outcomes:

P(Ex) = 4/8 = 1/2 or 50%

The generic metal A forms an insoluble salt AB(s) and a complex AC5(aq). The equilibrium concentrations in a solution of AC5 were found to be [A] = 0. 100 M, [C] = 0. 0360 M, and [AC5] = 0. 100 M. Determine the formation constant, Kf, of AC5. The solubility of AB(s) in a 1. 000-M solution of C(aq) is found to be 0. 131 M. What is the Ksp of AB?

Answers

The formation constant, Kf, of AC5 is approximately 2.78 x 10^7 M^-4. The Ksp of AB is approximately 2.22 x 10^-8.

Which of the following is a geometric sequence?

0, 2, 6, 12, 72, . . .
4, 9, 14, 19, 24, . . .
1, 3, 9, 27, 81,

Answers

Answer:

1, 3, 9, 27, 81, is a geometric sequence.

Step-by-step explanation:

A geometric sequence is basically a sequence of numbers that's multiplied by or divided one specific set number each time.

0, 2, 6, 12, 72, does not have a set number it is multiplied or divided by each time.

4, 9, 14, 19, 24, adds 5 each time, it doesn't multiply

Answer:

D - 1, 3, 9, 27, 81, . . .

Step-by-step explanation:








area \( A \) butsed as a functien of time, \( f \) (minutes). \[ A(t)= \] Msational Maieskit

Answers

The function \(\( A(t) \)\) represents the area, which varies over time \(\( t \)\). The specific form of the function \(\( A(t) \)\) is not provided in the question.

The question states that \(\( A(t) \)\) represents the area as a function of time, denoted by \(\( f \)\) measured in minutes. However, the specific mathematical expression for \(\( A(t) \)\) is not given, making it impossible to provide a precise answer.

In general, when dealing with functions that represent a changing quantity over time, various mathematical models can be used depending on the context. For example, if the area is growing or decaying at a constant rate, a linear function such as \(\( A(t) = mt + b \)\) could be applicable, where \(\( m \)\)represents the rate of change and \(\( b \)\) is an initial value. If the area follows a more complex pattern, nonlinear functions such as quadratic, exponential, or trigonometric functions might be involved.

Without further information about the specific behavior or context of the area function \(\( A(t) \)\), it is not possible to provide a definitive answer. Additional details or a specific form for \(\( A(t) \)\) would be needed to determine the relationship between the area and time.

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1 point 56. While riding a bicycle, a person travelled 5 blocks in 2 minutes. At this rate, how many blocks will the person travels in 16 minutes? Q​

Answers

the person will travel 40 blocks in 16 minutes

-2 1/2 x 6 1/2 x 12/39=

Answers

Answer:

-5

Step-by-step explanation:

\(-2\frac{1}{2}\cdot \:6\frac{1}{2}\cdot \:12/39\\2\frac{1}{2}\\2\frac{1}{2}=\frac{2\cdot 2+1}{2}\\\frac{5}{2}\\-\frac{5}{2}\cdot \:6\frac{1}{2}\cdot \:12/39\\6\frac{1}{2}\\= 6\frac{1}{2}=\frac{6\cdot 2+1}{2}\\(\frac{13}{2}-\frac{5}{2})\cdot \frac{13}{2}\cdot \:12/39\\-\frac{5}{2}\cdot \frac{13}{2}\\\frac{5}{2}\cdot \frac{13}{2}=\frac{5\cdot \:13}{2\cdot \:2}\\-\frac{5\cdot \:13}{2\cdot \:2}\\-\frac{65}{2\cdot \:2}\\-\frac{65}{4}\\\)

\(-\frac{65}{4}\cdot \:12\\=-\frac{65}{4}\cdot \frac{12}{1}\\\frac{65}{4}\cdot \frac{12}{1}=\frac{65\cdot \:12}{4\cdot \:1}\\\frac{65}{4}\cdot \frac{12}{1}=\frac{65\cdot \:12}{4\cdot \:1}\\-\frac{65\cdot \:12}{4}\\-65\cdot \:3\\= -195\\= -195/39\\-5\)

Parallelogram P Q R S is rotated about point Q 180 degrees to form parallelogram P prime Q prime R prime S prime. Parallelogram P prime Q prime R prime S prime is reflected across line of reflection l to form parallelogram P double-prime Q double-prime Q double-prime S double-prime. Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"? Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"?

Answers

The composition of transformations that maps figure PQRS to figure P"Q'R"S" is a rotation of 180 degrees about point Q, followed by a reflection across the line of reflection l.

In general, when applying multiple transformations to a figure, we need to perform them in a specific order to get the desired result. This order of transformations is known as the composition of transformations.

In this case, the rotation of 180 degrees about point Q followed by the reflection across line l can be written as a composition of transformations:

R = Rl ∘ RQ

where RQ is the rotation of 180 degrees about point Q and Rl is the reflection across line l.

The order of transformations matters, so Rl ∘ RQ is not the same as RQ ∘ Rl.

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Adrian and his children went into a grocery store and will buy apples and mangos. Each apple costs $2.25 and each mango costs $2. Adrian has a total of $25 to spend on apples and mangos. Write an inequality that would represent the possible values for the number of apples purchased, aa, and the number of mangos purchased, m.

Answers

The inequality which represents the given situation will be 2.25x + 2y ≤ 25.

What is inequality?

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Suppose the cost of an apple is x and the cost of one mango is y.

2.25x + 2y = total cost

2.25x + 2y ≤ 25

Hence "The inequality which represents the given situation will be 2.25x + 2y ≤ 25".

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For each example, determine the following:
D, the disease or outcome
E, the exposure
Study design: case report, ecological study, case series, cross-sectional, prospective cohort, retrospective cohort, case control
17.) As a part of a hypertension awareness program, volunteers at a weekend health fair in a shopping mall measured the blood pressure and determined smoking habits of 2000 people.
D=
E=
Study design=
18.) The average rate of dental cavities among children in 50 communities was compared with the average level of fluoride in the drinking water of those same communities.
D=
E=
Study design=
19.) The IQ scores and school performance of the 100 most-lead contaminated children and the 100 least-lead contaminated children were determined and compared in the 3rd, 6th and 9th grade.
D=
E=
Study design=
20.) Eight women between the ages of 25 and 45 who had undergone breast augmentation with silicone breast implants were reported to have developed severe autoimmune diseases within 2 to 4 years after surgery.
D=
E=
Study design=

Answers

17.) D= Hypertension
E= Smoking habits
Study design= Cross-sectional

18.) D= Dental cavities
E= Fluoride levels in drinking water
Study design= Ecological study

19.) D= IQ scores and school performance
E= Lead contamination levels
Study design= Case-control

20.) D= Severe autoimmune diseases
E= Silicone breast implants
Study design= Case series

What is indetail explaination to each part of the question?

17.) Hypertension awareness program, volunteers at a weekend health fair in a shopping mall note down blood pressure of determined smoking habits of 2000 people.
D= Hypertension
E= Smoking habits
Study design= Cross-sectional

18.) Average rate of dental cavities among children in 50 communities was anallysed with the average level of fluoride in the drinking water of those same communities.
D= Dental cavities
E= Fluoride levels in drinking water
Study design= Ecological study

19.) The IQ scores with school performance of the 100 most-lead effected children and the 100 least-lead effected children were determined and compared in the 3rd, 6th and 9th grade.
D= IQ scores and school performance
E= Lead contamination levels
Study design= Case-control

20.) Eight women between the ages of 25 and 45 who had breast augmentation with silicone breast implants in past were reported to have developed severe autoimmune diseases within 2 to 4 years after surgery.

D= Severe autoimmune diseases
E= Silicone breast implants
Study design= Case series

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