Which sequence of transformations of Triangle 1 will show Triangle 1 is
congruent to Triangle 2?

OA. a reflection over the x-axis, followed by a reflection over the y-axis
OB. a translation 9 units downward, followed by a reflection over the x-axis
OC. a translation 3 units to the right, followed by a reflection over the x-axis
a reflection over the y-axis, followed by a vertical translation 6 units
downward
O D.
OE.
a 90° counterclockwise rotation about the origin, followed by a
reflection over the y-axis

Answer:

\(j = 7\)hope that helps!

The value which is the solution to the equation 42 ÷ j = 6 is; j =7

One variable equation:

According to the question;

To solve the equation; we can do Cross-product as follows;

j = 42/6

j = 7.

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Answer:

The equation to represent the amount earned, y, for x number of walks.

\(y = 4x\)

The graph of the function is attached below.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

\(y = mx+b\)

where m is the slope and b is the y-intercept

Given that Finn suggests that club members walk dogs for a fee. Thus, the y-intercept is 0. i.e. b = 0

Given that he proposes they offer 5 walks for $20 and 10 walks for $40 per dog.

Thus, the rate of change of function or slope = (40-20) / (10 - 5)

                                                                           =  20 / 5

                                                                            = 4 dollars per walk

so, rate of change = slope = m = 4

Now substitutng m = 4 and b = 0 in the slope-intercept form of the line equation

\(y = mx+b\)

\(y = 4x + 0\)

\(y = 4x\)

Therefore, the equation to represent the amount earned, y, for x number of walks.

\(y = 4x\)

The graph of the function is attached below.

To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

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The given series is ∑(n=1 to infinity) (n!)^(-9). The series converges only when the exponent, -9, is greater than -1. Thus, the series converges for all values of x such that x > -1.

1. To determine the convergence of the series, we need to consider the behavior of the general term, (n!)^(-9), as n approaches infinity. The factorial function grows rapidly with increasing n, causing the general term to approach zero as n tends to infinity. In order for the series to converge, the general term must approach zero as well.

2. Since the factorial function always yields positive values, taking its inverse power, (n!)^(-9), makes the general term approach zero faster. In other words, as n becomes larger, the term decreases rapidly. This suggests that the series will converge.

3. For a series to converge, the general term must approach zero. In this case, the exponent, -9, plays a crucial role. The exponent determines the rate at which the general term approaches zero. Since -9 is greater than -1, the general term approaches zero faster as n tends to infinity.

4. Thus, we can conclude that the series ∑(n=1 to infinity) (n!)^(-9) converges for all values of x such that x > -1. As long as x is greater than -1, the series will converge due to the rapid decrease of the general term.

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The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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In a group of 150 students, 20 are freshmen 30 are sophomores 49 are juniors and 51 are seniors if a student is randomly selected the probability that we select a sophomore before freshmen is 2.69%.

So the given data we get from the question is as follows,

  Total number of students, N = 150

  A number of freshmen students, F = 20

  The number of sophomore students, S = 30

  Number of junior students, J = 49

  Number of senior students, R = 51

              We need to find the probability of selecting a sophomore student before a freshman student. The probability that a sophomore student is selected first,

             P(S) = Number of sophomore students/Total number of students

                    = S/N

   Probability that a freshman student is selected after a sophomore student,

          P(F|S) = Number of freshman students left/Total number of students left

                    = F/N-1

    Where N-1 is used because one student has already been selected.

     The probability that a sophomore student is selected first and then a freshman student is selected,

       P(S∩F) = P(S) × P(F|S)

                   = S/N × F/N-1

      Therefore, the probability of selecting a sophomore student before a freshman student is:

       P(S∩F) = S/N × F/N-1P(S∩F)

                   = 30/150 × 20/149P(S∩

                   = 0.0269 or 2.69%

      Therefore, the probability of selecting a sophomore student before a freshman student is 0.0269 or 2.69%.

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According to the question (a) Not equivalent to any serial schedule, b) Equivalent to: r1(X); r2(X); r3(X); w3(X); w1(X) , (c) Not equivalent to any serial schedule. (d) Not equivalent to any serial schedule.

To determine whether each schedule is equivalent to some serial schedule, we need to check if there are any conflicting operations on the same data item.

(a) r3(X); r2(X); w3(X); r1(X); w1(X)

This schedule is not equivalent to any serial schedule because there is a conflict between w3(X) and r1(X). The write operation w3(X) occurs after r1(X), violating the order of operations in a serial schedule.

(b) r3(X); r2(X); r1(X); w3(X); w1(X)

This schedule is equivalent to the serial schedule: r1(X); r2(X); r3(X); w3(X); w1(X). There are no conflicting operations, and the order of operations is preserved.

(c) r1(X); r3(X); w1(X); r2(X); w3(X)

This schedule is not equivalent to any serial schedule because there is a conflict between w1(X) and r2(X). The write operation w1(X) occurs after r2(X), violating the order of operations in a serial schedule.

(d) r1(X); r3(X); w3(X); w1(X); r2(X)

This schedule is not equivalent to any serial schedule because there is a conflict between w3(X) and w1(X). The write operation w3(X) occurs after w1(X), violating the order of operations in a serial schedule.

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Answer:

Question 1 )

given ,

height of cylinder = 9 cm

diameter of cylinder = 10 cm

\(\dashrightarrow \: radius = \frac{10}{5} \: cm \\ \)

now ,

\(Volume \: of \: cylinder = \pi \: r {}^{2} h \\ \\ substitutng \: the \: values \: of \: h \: and \: r \: \\ \\ \dashrightarrow \: \pi \: \times (\frac{10}{2} ) {}^{2} \times 9 \\ \\ \dashrightarrow \: \pi \: \times 25 \times 9 \\ \\ \dashrightarrow \: 225\pi \: cm {}^{3} \)

therefore ,

option (C) is correct.

______________________________________

______________________________________

Question - 2 )

dimensions of the rectangular prism are 2 × 3 × 4

\(Lateral \: surface \: area = 2h(l + b) \\ \\ \dashrightarrow \: 2 \times 3(4 + 2) \\ \\ \dashrightarrow \: 6(6) \\ \\ \dashrightarrow \: 36 \: cm {}^{2} \)

hope helpful :D

The volume of the cylinder is 225 \(\rm cm^3\)  and the lateral surface area of the rectangular prism is 36 square cm.

It is given that the radius of the cylinder is 10 cm and height is 9 cm.

It is required to find the volume of the cylinder.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of a cylinder given by:

\(\rm V = \pi r^2 h\)

We have diameter = 10 cm

Radius r = 10/2 = 5 cm

and height h = 9 cm

Volume will be:

\(\rm V= \pi \times5^2 \times 9\)

V = 225π cubic cm

For the lateral surface area = 2h(l+b)

= 2×3(4+2)

= 36 square cm

Thus, the volume of the cylinder is 225 \(\rm cm^3\)  and the lateral surface area of the rectangular prism is 36 square cm.

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Answer:

Weight on Mars:  1,475.32 kg

Step-by-step explanation:

The formula is Weight on Mars= (Weight on Earth/9.81m/s2) * 3.711m/s2.

If a space rover has a mass of 3900 kg on Earth, the mass on Mars when it lands will be 3900kg.

Mass is a dimensionless quantity representing the amount of matter in a particle or object. The standard unit of mass in the International System (SI) is the kilogram.

Given,

The mass of a space rover is 3900 kg.

We need to check what is its mass in Mars.

The mass of space rover  in Mars will also be same 3900 kg because the mars is same quantity it wont change according to place or time, it remains constant. Where as weight would be changed.

The mass of the object is always constant, anywhere it is on the Earth or Moon or any other planet.

Hence, If a space rover has a mass of 3900 kg on Earth, the mass on Mars when it lands will be 3900kg.

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Answer:

The approximate area is A) 5.09cm²

Step-by-step explanation:

Area of a Circle = πr²

r = 1.8

Plug in our values

π(1.8cm²)

Evaluate the area of the entire circle

a = π(1.8cm²)

a = π(3.24cm)

a = 10.179cm²

Area of a sector, with the area of the circle of the sector being a = theta/360 * a

Evaluate the area of the sector

180/360*10.719cm²

0.5 * 10.179cm²

5.0895cm²

Round the value up

5.09cm²

Answer:

26

Step-by-step explanation:

If n means 9 then 26 is the correct answer because 9hr. - 1hr. = 8hr. x 3 = 24 rings + 2 rings = 26.

The cheapest price for ten (10) rolls would be = £25.50. That is option B.

The wallpapers are those designed paper materials that are used in decoration of a room.

The total number of wall paper that Salima needs to buy= 10 rolls.

A single roll of wallpaper = £9.20

A pack of 3 rolls= £25:50

That is 1 roll = X

make X the subject of formula;

£x = 25.50/3

£x = £8.5

A pack of 5 rolls = £43.05

That is 1 roll = X

make X the subject of formula;

£x = 43.05/3

£x = 14.35

Therefore, the cheapest price that can be used to buy 10 rolls would be = £25.50 because one roll would be = £8.5.

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Answer:

Pack of 3 rolls (total of £85.70

Step-by-step explanation:

25.5+25.5+25.5+9.20= £85.70

Answer: 52

Step-by-step explanation:

8x6+(12-4)÷2

Parenthesis' first

8x6+8÷2

multiplication next

48+8÷2

Division next

48+4

52

Answer:

-29/35

Step-by-step explanation:

x = 2 is the solution to the equation 5x - 2 = 8.

What is the logarithm?

A logarithm is a power to which a number must be raised in order to get some other number. For example, the base ten logarithms of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.

The change of base formula for logarithms allows us to change the base of a logarithm without changing the value of the logarithm.

The formula is: logb(x) = (logc(x)) / (logc(b))

To solve 5x - 2 = 8 using the change of base formula, we will first bring the equation to one side and get 2 = 5x - 8.

Then we will add 8 to both sides of the equation to get 2 + 8 = 5x, which gives us 10 = 5x.

Finally, we will divide both sides of the equation by 5 to get x = 2.

x = 2

Therefore, x = 2 is the solution to the equation 5x - 2 = 8.

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Answer:

second

Step-by-step explanation:

(2x-5)(3x+1) = 6x² +2x -15x -5 = 6x² -13x - 5

Answer:

Sorry you will have to clarify more on the width I do not under stand :/

Step-by-step explanation:

Answer: A=14

Step-by-step explanation: 1 foot = 12 inches so 30 feet = 20 inches which is 30 - 10 so 24 - 10= 14

A situation in which conclusions based upon aggregated crosstabulation are different from unaggregated crosstabulation is known as Simpson's paradox.

Simpson’s Paradox is an example of statistics that can be wrong. The paradox is defined as averages that can be silly and misleading. Sometimes they can be just plain baffling.

It is also called the Yule-Simpson effect which is an effect that occurs when the marginal association between two categorical variables is qualitatively different from the partial association between the same two variables after controlling for one or more other variables.

This result is often encountered in social science and medical science statistics and is particularly problematic when frequency data are unduly given causal interpretations.

It is a statistical phenomenon where an association between two variables in a population emerges or reverses when the population is divided into subpopulations.

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

Step-by-step explanation:

-2x + 3 = -x + 6

-x + 3 = 6

-x = 3

x = -3

y = 3 + 6

y = 9

(-3, 9)

Answer:

False

Step-by-step explanation:

A reflection does not change the shape of a figure.

For example, If you look into a mirror, you are looking at a reflection of yourself, but your face doesn't change into something else...! :)

Answer:

24

Step-by-step explanation:

If Vincent can answer 12 questions in one hour then that means in 2 he can get 24

The number of hardcover books is 24 and the number of the softcover book is 36.

Here we have to find the number of hardcover and softcover.

Here it is given that 60 books are there.

Let x be the number of hardcovers, so the number of software books is 60- x.

The weight of each hardcover is 26 ounces and of softcover is 12 ounces.

The total weight is 1056 ounces.

So we get:

26x + ( 60 -x) 12 = 1056

26x - 12x + 720 = 1056

14x = 336

x = 24

60-x = 60 -24 = 36

Therefore the number of hardcovers is 24 and the number of softcovers is 36.

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The complete question:

There are 60 books that are either hardcover or softcover. The hardcover books each weigh 26 ounces. The softcover books each weigh 12 ounces. The books weigh 1,056 ounces in all. Find the number of hardcover and softcover books are there.

Thomas is 49 years old.

What is equation?

Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

Given:

Huilan is 11 years older than Thomas.

The sum of their ages is 109.

We have to find the Thomas's age in years.

Let x be the Thomas age.

Then the age of Huilan is x + 11.

As the sum of their ages is 109.

⇒ x + (x + 11) = 109

         2x + 11 = 109

               2x = 98

                 x = 49

Hence, Thomas is 49 years old.

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Answer:

408

Step-by-step explanation:

First day: 30% of 1200 = 360

Second day:  360 + 20% of 360 = 360 + 72 = 432

First two days combined: 360 + 432 = 792

Third day: 1200 - 792 = 408

The complementary investments are discussed above.

Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time.

Investment requires a sacrifice of some present asset, such as time, money, or effort. In finance, the purpose of investing is to generate a return from the invested asset.

Given is complementary investment.

The Complementary Portfolio focuses on investments that are not within the mandate of an existing asset class but are deemed to be beneficial for the total fund.

Complementary assets can be divided into three groups -

Therefore, the complementary investments are discussed above.

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{QUESTION IN ENGLISH -

What are complementary investments and their characteristics?}

4.84 HP is the amount of work energy used.

Given info,

A helicopter is lifting an 800-pound unit at a rate of 200 feet per minute.

1 horsepower = 550 foot-pounds per second

⇒ 800 x 200 = 160,000 foot-pounds per minute

                      = 160,000/60 foot pounds per second.

Horsepower = 160,000/60 * 550 = 428/33

                                                       = 4.848 HP

Therefore, the horsepower of work energy used is 4.84 HP

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Answer:

1/2=2/4

Step-by-step explanation: