Which postulate proves that the triangles below are similar?
SSS
AA
SAS
These triangles are not similar

The largest value of x that satisfies the inequality is approximately -1.8639.

To find the largest possible value of x that satisfies the inequality 1/(x + 2)⁶ > 1,000,000, we can start by rearranging the inequality:

1/(x + 2)⁶ > 1,000,000

Taking the reciprocal of both sides:

(x + 2)⁶ < 1/1,000,000

Now, let's take the sixth root of both sides:

x + 2 < (1/1,000,000)\(}^{1/6\)

Calculating the right side:

x + 2 < 0.1361

Subtracting 2 from both sides:

x < 0.1361 - 2

x < -1.8639

Therefore, the largest value of x that satisfies the inequality is approximately -1.8639.

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In 2D, tt can be extended on other side to any length you deserve. But if you talk of sub tangent, then it has particular length.

In 3D, on the surface talking of size of tangent plane it has no particular size. It can be extended on either side to any extent you desire.

In 2D:

At a particular point P(h,k) to a curve y=f(y). Tangent vector is given by equation y(k) = f(h,k)*(x-k) which is unique for that point on the curve. Taking of length a tangent has no particular length. It can be extended on other side to any length you deserve. But if you talk of sub tangent, then it has particular length.

In 3D:

As a particular point P(h,k,1) to a surface f(x,y,z) = 0. Tangent plain is given by equation F(x)(x-h)+F(y)(y-k)+F(z)(z.1)=0 which is unique. For that point on the surface talking of size of tangent plane it has no particular size. It can be extended on either side to any extent you desire.

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Answer:

- Seeds per flower

- Visits per flower

Step-by-step explanation:

Species that make a larger volume of nectar also have a higher number of seeds per flower and a higher number of visits per flower

Answer:

Step-by-step explanation:

Y-axis is the line of symmetry as it divides the figure into two equal parts

Answer:

Approximately 58 pieces can be cut in 35 minutes.

Step-by-step explanation:

Jason is cutting 25 firewood pieces in 15 minutes

Therefore, per minute rate of cutting firewood will be,

Rate = \(\frac{\text{Amount of firewood to be cut}}{\text{Time taken}}\)

        = \(\frac{25}{15}\)

        = \(\frac{5}{3}\) pieces per minute

By this rate amount of firewood that can be cut = Rate × Time taken

= \(\frac{5}{3}\times 35\)

= 58.33

≈ 58 pieces of firewood

Therefore, approximately 58 pieces can be cut in 35 minutes.

The correct statement regarding the together rate is given as follows:

A. The total time, in hours, it would take Jenna to address the 1800 envelopes alone is given by 1800/(x + 10).

The together rate is given by the sum of each separate rate, thus the sum given in the problem on the image represents the total time it takes for them to address all the envelopes.

Jenna can address 10 more envelopes per hour than Kyle, hence:

The number 1800 represents the total number of cards, hence from this and from the bullet points, statement A is correct.

The problem is given by the image shown at the end of the answer.

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The Solution:

Given the function:

Required:

To determine the domain and the range of the function.

Below is the graph of the function:

Step 1:

The domain of the function is:

Step 2:

The range of the function is:

Therefore, the correct answer is :

The equation y= -3/2x + 4 pass through the points (0,4) and (-8,16) because the points satisfied the line.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The equation is:

y= -3/2x + 4

Plug (0,4)

4 = 4 (true)

Plug (-8, 16)

16 = 12 + 4 = 16 (true)

Thus, the equation y= -3/2x + 4 passes through the points (0,4) and (-8,16) because the points satisfied the line.

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Answer:

Step-by-step explanation:

https://answer.ya.guru/questions/6481809-which-number-line-correctly-represents-the-irrational-numbers.html

Answer:

i dont know because you didnt give number but is one -17 is so its that

Step-by-step explanation:

The statement ''the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n.'' is false because the symbol "μ ˆ p" does not represent the proportion of a sample of size n.

In statistical notation, the symbol "μ ˆ p" typically represents the sample proportion, which is an estimate of the population proportion. The sample proportion is obtained by dividing the number of occurrences of a specific event in the sample by the sample size.

On the other hand, the population proportion, denoted by "p," represents the proportion of the entire population that exhibits a certain characteristic or has a specific attribute.

The symbol "μ ˆ p" could be a typographical error or a confusion between different symbols used in statistics. The correct symbol to represent the sample proportion is usually denoted as "p ˆ" or "p-hat." The symbol "μ" typically represents the population mean.

Therefore, it is incorrect to state that "μ ˆ p" represents the proportion of a sample of size n.

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Answer:

b

Step-by-step explanation:

Answer:

e. 7.2 > 7

f. -7.2 < -7

Step-by-step explanation:

Refer to number line

Answer:

\(\mathrm {\dfrac{1}{5} \; or\; 0.2 \; in \; decimal}\)

Step-by-step explanation:

We are asked to find \(\dfrac{6.4}{34}\)

Multiply numerator and denominator by 10 to convert them to whole numbers

\(\dfrac{6.8}{34} = \dfrac{6.8 \times 10}{34 \times 10} = \dfrac{68}{34 \times 10}\\\\= \dfrac{68}{34} \times \dfrac{1}{10}\\\\= 2 \times \dfrac{1}{10}\\\\= \dfrac{2}{10}\\\\= \dfrac{1}{5}\\\\= 0.2\)

Answer:

alternate exterior

The speed at which the gap between the two vehicles is narrowing is 154.4 km/h.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. what kinds of values and units

Let's say you go to the store to buy six apples.

You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.

We are aware of the quantity of apples and the amount of money in the aforesaid problem.

According to our question-

D^2 = (x^2 + y^2) + z^2

2*D*dD/dt  =  2*x*dx/dt  + 2*y*dy/dt  + 0 (since z is constant)

D^2 =  c^2 + z^2 = (x^2 + y^2) + z^2  =  10^2 + 15^2 + 2^2  = 100 + 225 + 4  = 329

= 2800/sqrt(329) = 154.4 km/hr

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We will select the third row from the pascal triangle to expand the binomial expression   (22³ + 3y²)²  which is equal to

                     (22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴

We know that when we need to expand the expression (a + b)² we select the coefficients from the row of triangle beginning with 1,2 which is (1,2,1).

And when we write the expansion we note that with each new term we decrease the power of a and increase the power of b.

Thus the expansion can be written as

    (a + b)² = 1a² + 2ab + 1b²

which we normally write as

     (a + b)² = a² + 2ab + b²          (1)

According to the question we have been the expression as

(22³ + 3y²)² which is equal to the above expression where,

              a = 22³   and   b = 3y²

Putting the required values in equation (1) we get

      (22³ + 3y²)² =   (22³)² + 2(22³)(3y²) + (3y²)²

                         = 22⁶ + 63888y² + 9y⁴

Hence we will select the third row from the pascal triangle to expand the binomial expression   (22³ + 3y²)²  which is equal to

                     (22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴

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Answer:

Step-by-step explanation:

Simplify

Answer:

Step-by-step explanation:

9(2x + 1) - 2(3 - x)  -----expand

9(2x) + 9(1)  -  2(3) - 2(-x)

18x + 9 - 6 + 2x ------ combine similar

20x + 3

The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

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Some potential advantages that can be associated with a 100% capitalist structure:

- Employment Opportunities:

- Potential for Higher Income:

- Individual Freedom and Entrepreneurship:
- Incentives for Hard Work and Efficiency:

- Economic Mobility and Opportunity for Advancement:

We have,
In a 100% capitalist structure, the advantages offered to workers can vary depending on the specific circumstances and practices within the capitalist system.

However, there are some potential advantages that can be associated with such a structure:

- Employment Opportunities:

A capitalist system often provides a wide range of job opportunities as businesses compete and expand.

This can create more employment options for workers, increasing their chances of finding suitable employment.

- Potential for Higher Income:

In a capitalist system, workers have the potential to earn higher incomes based on factors such as their skills, productivity, and market demand for their services.

Increased competition can lead to higher wages and better compensation packages for workers.

- Individual Freedom and Entrepreneurship:

Capitalism promotes individual freedom, allowing workers to choose their occupations and pursue entrepreneurial ventures.

This can provide opportunities for personal growth, creativity, and innovation.

Incentives for Hard Work and Efficiency:

In a capitalist system, workers may have incentives to work harder and increase their productivity since their earnings and success can be tied to their performance.

This can create an environment that rewards hard work and efficiency.

Economic Mobility and Opportunity for Advancement:

Capitalism can provide opportunities for workers to improve their socioeconomic status through advancement within their careers or by starting their own businesses.

This mobility allows individuals to strive for upward social and economic mobility.

Thus,

It is important to note that the advantages and outcomes of a capitalist system can vary depending on factors such as government regulations, labor laws, social safety nets, and market conditions.

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The probability that X is greater than 145.28 is approximately 0.0465.

Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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Answer:

  (b)  ∠DFE ≅ ∠DFG

Step-by-step explanation:

You want to know what additional information is required to show ∆DEF ≅ ∆DGF by SAS, given FE≅FG.

The SAS congruence postulate requires pairs of corresponding sides be congruent, along with the angle between those sides.

We know that FD is congruent to itself, and we are given FE≅FG. The angles between these sides are ∠DFE and ∠DFG.

To make use of the SAS congruence postulate, we need to know that ...

  ∠DFE ≅ ∠DFG, choice B

<95141404393>

Answer:

no, because the number is not repeating

Step-by-step explanation:

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answers:

25.  b.   9, 40, 41

26.  c.   14, 19, 24

========================================

Explanation for problem 25

We use the converse of the pythagorean theorem.

If a^2+b^2 = c^2 is a true equation, then we have a right triangle with sides a,b,c where c is the longest side.

For part (a) we have a = 9, b = 41, c = 41

Then,

a^2+b^2 = c^2

9^2+41^2 = 41^2

1762 = 1681

The two sides aren't the same value at the end, so we have a false equation when (a,b,c) = (9,41,41). These three sides do NOT form a right triangle.

Repeat these steps for parts (b) through (d)

You should find that part (b) does lead to a true equation

a^2+b^2 = c^2

9^2+40^2 = 41^2

1681 = 1681

Therefore, a right triangle occurs when (a,b,c) = (9,40,41).

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

Explanation for problem 26

We'll use the same idea as the previous problem. This time we're looking for non-right triangles.

Choice (a) can be ruled out because 3^2+4^2 = 5^2 leads to 25 = 25. Same goes for choice (d). That has been scaled up by 10.

Choice (b) gives 21^2+28^2=35^2 which boils down to 1225 = 1225, so this is ruled out as well.

Choice (c) on the other hand gives:

a^2+b^2 = c^2

14^2+19^2 = 24^2

557 = 576

Showing that a triangle with sides 14,19,24 is not a right triangle.

Answer:

535 students passed and 107 students failed

Step-by-step explanation:

Create a system of equations where p is the number of students who passed and f is the number of students who failed:

p + f = 642

p = 5f

Solve by substitution by plugging in 5f as p into the first equation, then solving for f:

p + f = 642

5f + f = 642

6f = 642

f = 107

So, 107 students failed.

Find how many students passed by multiplying this by 5:

107(5)

= 535

535 students passed and 107 students failed.

Answer:

Yes

Step-by-step explanation:

A function would be f(x), a output for each x input.

The slope intercept form is y - mx + b! *keep this in mind*

If you graph this as well, it would be easier to see if its a function too. If the line crosses through it once, it is indeed a function. If it doesn't, it isn't

Hope this helps

Answer:

c

Step-by-step explanation:

y goes up by 4, so the each step is by 4, so that is the slope, which is the number before x, and then you subtract 4 to find the y-intercept, and 3-4=-1

Answer:

d.

Step-by-step explanation:

Because it increased and it also went up by 20%

The paper left over after making one circular card will be 255.80 centimeters².

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr² where 'r' is the radius of the circle

A teacher is making a circular placemat out of a square piece of paper with a side length of 14.5 centimeters

The diameter of each circular placemat is the same length as the side length of the paper.

The paper left over after making one circular card will be :

⇒ Area of square piece of paper - Area of circular placemat

⇒  (length of square piece)² + π × diameter of circular placemat

⇒ (14.5)² + π × 14.5 = 210.25 + 14.25π

⇒ 255.80 centimeters²

Thus, the paper left over after making one circular card will be 255.80 centimeters².

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