Write as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats
please write it out in long form. Thank you
25/6

Answer:

Step-by-step explanation:

a.  If two angles of one triangle are congruent to two angles of another triangle, then the triangle are similar.

The ORDER matters in the similarity statement. The same measures must go in the same order.

∧ABC ≈ ∧PQR  Angle-Angle Similarity Postulate

b.   Set up the ratios, then reduce to see if they all reduce to the same fraction.

3/18 ; 4/24 ; 5/30

1/6   ;  1/6  ; 1/6

1/6 = 1/6 = 1/6

The sides are proportional so the triangles are proportional.

∧  ABC ≈ ∧  DEF   Side-Side-Side Similarity Postulate

The number of cups of rice the restaurant would need for 20 cups of veggies is 5.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

The recipe calls for 1/4 cup of rice for every 1 cup of veggies.

Now,

1cup veggie = 1/4 cup rice

20cup veggies= 1/4 * 20 cup rice

=5

Therefore, by algebra the count of cups of rice will be 5.

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Answer:

7.836, 7.84, 7 17/20, 79/10

Step-by-step explanation:

79/10, 7 17/20, 7.84, 7.836

7.9, 7.85, 7.84, 7.836

so 7.836, 7.84, 7.85,7.9

Answer: The value of x from the diagram is 50 degrees.

Vertical angles are angles that meets at a point of intersection. From the given diagram 150 and 50+2x are vertical angles showing that they are equal to each other so:

50 + 2x = 150

2x = 150 - 50

2x = 100

Divide both sides by 2

2x/2 = 100/2

x = 50

Therefore the value of x from the diagram is 50 degrees.

Answer:

x = 50

Step-by-step explanation:

150 = 50 + 2x

100 = 2x

x = 50

A scatter plot would be the best type of plot to use to show the relationship between the price of Airbnb rentals and the room type.

A scatter plot shows the relationship between two variables by plotting each data point as a dot on the graph. In this case, the room type would be plotted on one axis and the price on the other axis, allowing you to see the distribution of prices for each room type.

By plotting the data in this way, you can see how one variable is related to another, and identify any patterns or trends in the data. This type of plot is particularly useful for exploring the relationship between two continuous variables.

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The correct question for the answer is

which plot would you use to plot prices of airbnb rentals as function of room type?

a) boxplot

b) scatter plot

c) bar plot

d) histogram

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The final answer will depend on the specific value of p.

Let's say we need to choose a number of strawberries. Then, using the binomial distribution formula, it is possible to determine the likelihood that there will be exactly 2 rotting strawberries among them:

P(exactly two spoiled strawberries) i= (n choose 2) * p^2 * (1-p)^(n-2)

where p is the probability of each strawberry being rotten.

By setting this to 2/35 and figuring out n, we get at:

2/35 = (n choose 2) * p^2 * (1-p)^(n-2)

2/35 = (n choose 2) * p^2 * (1-p)^(n-2)

(2/35) / p^2 = (n choose 2) * (1-p)^(n-2)

It should be noted that p's value is unknown and would need to be determined by estimation or historical data. The final answer will depend on the specific value of p.

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The unit cost of apples is found to be $5.5 per pound. So the cost of 7.9 pounds of apple will be 43.45.

Here we have to calculate the value of a pound of apple from the given data, and then should multiply the unit value to find the cost of the given weight.

Weight of apple that was purchased = 3.3 lbs.

Cost of 3.3 lbs. of apples = 18.15

Cost of a pound of apple = Cost of apples purchased/ weight of apples purchased

= 18.15/3.3 = 5.5.

So each pound of apple will cost $5.50.

Weight of apple to be purchased = 7.9 lbs.

Cost of the apples = Weight of apples × unit price

                               = 7.9 × 5.50 = 43.45.

So the cost of 7.9 pounds  of apple will be $43.45.

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Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

The nightly rate that will maximize the nightly revenue is $200. The maximum revenue is $39,000.

What is revenue?

Revenue in accounting refers to the total amount of money made from the sale of products and services that are essential to the company's core operations. Sales or turnover are other terms used to describe commercial revenue. Some businesses make money from royalties, interest, or other fees.

The number of rooms in the hotel is 250.

80% of the hotel room occupied.

The number of occupied rooms is 250 × 80% = 200.

The nightly rate is $190.

The total rent is 200 × $190 = $38,000.

If each $10 increase in the rate results in 5 fewer occupied rooms.

The new rent is $190+10 = $200.

The number of occupied rooms is (200 - 5) = 195

The total rent is  $200 × 195 = $39,000.

The maximum revenue is $39,000.

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The transformations to the graph of the parent function y = x² to the function f(x) = -(x + 1)² are given as follows:

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The changes to the parent function y = x² to create f(x) = -(x + 1)² are given as follows:

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Answer:

-3

Step-by-step explanation:

The answer to this question depends on several factors, including the speed of Mary's boat, the width of the river or body of water she is crossing, and any currents or winds that may affect her trajectory.

Distance is defined as the amount or extent of displacement between two points. It is critical to understand that the distance between two sites does not equal the distance traveled between them. The distance traveled is the entire length of the journey traveled between two places. Distance is the length of an object's path, whereas displacement is the distance between where the thing started and where it ended up. Distance is defined as the whole length of an object's true path. The displacement of an object between two locations is the smallest straight line distance between those positions, directed from one to the other.

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The sofa worth after two years is, $385,875.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Andrew spent $350,000 on a new couch. The sofa's worth falls exponentially at a pace of 5% every year.

Now, We know that;

The formula for calculating exponentially is,

⇒ f (x) = a (1 + r)ˣ

Where, The f(x) term represents the function.

The a variable stands for the beginning value of your data.

The r variable represents the growth rate.

The x variable is the time interval.

Hence, The sofa worth after two years is,

⇒ f (x) = a (1 + r)ˣ

⇒ f (x) = 350,000 (1 + 0.05)²

⇒ f (x) = 350,000 × 1.05²

⇒ f (x) = $385,875

Thus, The sofa worth after two years = $385,875.

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The difference in the variability in golf scores for players on the LPGA Tour and players on the PGA Tour can be calculated by subtracting the standard deviation for the LPGA Tour from the standard deviation for the PGA Tour.

The variability in golf scores for players on the LPGA Tour and the PGA Tour can be measured using the standard deviation. To calculate the standard deviation, the squared differences between each score and the mean score must be calculated and then averaged. Then, the square root of this average must be taken.

Formula:

Standard Deviation =√((x1–μ)2+(x2–μ)2+...+(xn–μ)2)/n

Where:

x1, x2, ..., xn are the individual observations

μ is the mean

n is the number of observations

In this case, the sample of tournament scores from LPGA events showed a standard deviation of strokes and the sample of tournament scores from the PGA Tour showed a standard deviation of strokes. The difference between the two standard deviations can then be calculated by subtracting the LPGA standard deviation from the PGA standard deviation.

Therefore, the difference in the variability in golf scores for players on the LPGA Tour and players on the PGA Tour can be calculated by subtracting the standard deviation for the LPGA Tour from the standard deviation for the PGA Tour.

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Complete question

Is there any difference in the variability in golf scores for players on the LPGA Tour (the women's professional golf tour) and players on the PGA Tour (the men's professional golf tour)?

The equation of a line that has a slope of -2 and y-intercept of -15 is y = -2x - 15.

In Mathematics, the slope-intercept form of a line can be calculated by using this mathematical expression:

y = mx + c

Where:

From the information provided above, we have the following slope and y-intercept on the line:

Y-intercept = -15

Slope, m = -2

Therefore, the required equation of line is given by:

y = mx + c

y = -2x + (-15)

y = -2x - 15

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Answer:

C

Step-by-step explanation:

a parameter is a number describing a whole population (e.g., population mean), while a (sample) statistic is a number describing a sample (e.g., sample mean).

so, everything involving all 700,000 people creates parameters.

therefore, C is correct.

The statement that best explains Savannah's mistake include the following: A. Savannah incorrectly compared hundredths to tenths. She should compare 35 hundredths to 40 hundredths.

In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:

Generally speaking, 0.35 is the same as 35 hundredths while 0.4 is the same as 40 hundredths or 4 tenths. Therefore, she incorrectly compared hundredths to tenths, instead of hundredths to hundredths.

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Complete Question:

Savannah uses models to compare two decimal numbers. She says 0.35 is greater than 0.4 because 35 > 4.Which of these explains Savannah's mistake?

Savannah incorrectly compared hundredths to tenths. She should compare 35 hundredths to 40 hundredths.

Savannah incorrectly compared tenths. She should compare 3 hundredths to 5 hundredths.

Savannah incorrectly shaded the models. She should shade one more tenth.

Savannah incorrectly counted the number of shaded parts in the models. She should compare 3 shaded parts to 4 shaded parts.

Answer:

you need 221.2 ml of the 64% and 5308.8ml of the 29%

Step-by-step explanation:

the formula is (% x v)=(% * v)+(% * v)

so

(0.3 * 5530)=(0.64 * x)+(0.29 * (5530-x))

simplify

1,659= 0.64x + 1,603.7 - 0.29x

1,659=0.35x + 1,603.7

subtract 1603.7 from both sides

55.3=0.25x

divide 0.25 from both sides

221.2=x

subtract

5530-221.2

The population of students in Baltimore will be 4329 in 5 years.

Exponential growth is a function that shows an increase within a population that occurs at the same rate over time.

Given that, the current student population of Baltimore is 2000, the population increases at a rate of 16.7% each year.

We need to find the student population in 5 years

To find the same, we will use, exponential growth model for the future population P(x) where x is in years, is given by,

A = P(1+r)ⁿ

Where,

A = final population

P = initial population

r = rate, n =time

A = 2000(1+0.167)⁵

A = 2000(1.167)⁵

A = 4328.967

A ≈ 4329

Hence, the population of students in Baltimore will be 4329 in 5 years.

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The possible endpoints are (-3, 6) and (8, -5).

The distance between two points of a line is given as:

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

We have,

The coordinates of the endpoints are (a, b) = [tex](x_1, y_1)[/tex] and (-3, -5) = [tex](x_2, y_x)[/tex].

The distance between the two endpoints is 11 units.

Now,

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

11 = [tex]\sqrt{(-3 - a)^2 + (-5 - b)^2}[/tex]

Squaring both sides.

11² = (-3 - a)² + (-5 - b)²

121 = (-3 - a)² + (-5 - b)²

If we take a = -3 and b = 6

121 = (-3 + 3)² + (-5 - 6)²

121 = 0 + (-11)²

121 = 121

or

If we take a = 8 and b = -5

121 = (-3 - 8)² + (-5 + 5)²

121 = (-11)² + 0

121 = 121

Thus,

(-3, 6) and (8, -5) are the possible endpoints.

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Answer:
8

Step-by-step explanatio

I saw it

The table shows the proportional relationship because all y over x ratios are equivalent to one third.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

x   18.6   54.3   58.8

y    6.2    18.1    19.6

Now, the rate of change

= 6.2/18.6

= 1/3

again the rate of change

= 18.1/ 54.3

= 1/3

As, the rate of change is constant.

So, the table shows because all y over x ratios are equivalent to one third.

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An expected 479,512 duplicates of the book have been offered to date. The principal month of delivery is 38,900 and addresses 8.1% of the absolute number of duplicates offered to date.

On the off chance that the quantity of duplicates sold in the main month of delivery is 38,900 and addresses 8.1% of the absolute number of duplicates offered to date, then, at that point, we can utilize this data to appraise the all out number of duplicates offered to date. To do as such, we partition the quantity of duplicates sold in the primary month by the rate portrayal:

38,900 ÷ 0.081 = 479,512

A book has sold 38,900 duplicates in its most memorable month of delivery. This is viewed as 8.1% of the absolute number of duplicates offered to date. To decide the absolute number of duplicates offered, we can utilize this data to appraise the quantity of duplicates offered to date. To do this, we take the quantity of duplicates sold in the main month and gap it by the rate portrayal of the primary month deals comparable to add up to deals. Partitioning 38,900 by 0.081 provides us with an expected absolute of 479,512 duplicates offered to date. This assessment expects that the pace of deals in the principal month is illustrative of the general deals pattern. In any case, minus any additional data about deals in ensuing months, this assessment ought to be taken with alert.

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Step-by-step explanation:

A total of 96 dogs and cats were taken to a veterinarian's office last week. The ratio of dogs to cats was 3:5.

3x + 5x = 96

8x = 96

8x/8 = 98/8

x = 12

The ratio is 3 to 5 so:

dogs = 12 * 3 = 36

cats = 12 * 5 = 60

Answer: There are 36 dogs and 60 cats.

When surveyed, the Nursing profession was chosen by the general public as the highest in integrity and ethics.

In order to help people recover from sickness and preserve their best health and quality of life, nurses focus on caring for patients and their families.

Because of their diverse areas of practice and methods of providing healthcare, nurses set themselves apart from other healthcare professionals. They are essential in promoting health, avoiding illness, and providing care for everyone, including those who are physically or psychologically ill or impaired.

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A predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

Thus, a predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.

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Answer:

It is true that the product of a complex number and its conjugate is a real number.

Step-by-step explanation:

You're welcome.

Answer:

True

Step-by-step explanation:

....this is how you 'rationalize' denominators that have complex numbers in them

True.

In a relation, each row of a table represents an ordered pair where the x-value is in the left column (also called the domain) and the y-value is in the right column (also called the range or codomain). The x-values represent the inputs to the relation, and the y-values represent the corresponding outputs.

A relation is a set of ordered pairs, where the first element of each pair comes from a set called the domain and the second element comes from a set called the range or codomain. In a table representing a relation, each row represents an ordered pair where the first element (the x-value) is from the domain and the second element (the y-value) is from the range or codomain.

For example, consider the relation R = {(1, 3), (2, 5), (3, 7)}. In a table representing R, the x column represents the first element of each ordered pair (i.e., the domain) and the y column represents the second element of each ordered pair (i.e., the range or codomain).

The first row of the table would be (1, 3), where 1 is the input (x-value) and 3 is the output (y-value) for the relation R. The second row of the table would be (2, 5), where 2 is the input (x-value) and 5 is the output (y-value) for the relation R. And so on for the rest of the rows in the table.

Therefore, each row of a table representing a relation does indeed represent an ordered pair, where the x column represents the input values and the y column represents the output values.

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Answer:

1. 8400 dollars

2. 56 months

Step-by-step explanation:

1. 10x150=1500

2. 1500+6900=8400

3. 8400/150=56