The coordinates of the vertices of △PQR are P (0, 1), Q (0, 0),
and R (−2, 0). Draw the triangle and its image △P′Q′R′ after a 180°
clockwise rotation about the origin. What are the coordinates of the
vertices of △P′Q′R′?

In terms of asymptotic growth from largest to smallest, the sorted order of the given functions would be as follows:

1.\(n^n\)

2.52!

3.\(n^2log(n^2)\)

4.\(n^{(3.14)\)

5.\(n^{(1/3)\)

6.\(3log(n^9)\)

7.n

1.The function \(n^n\)grows the fastest as the exponent is proportional to the input size n.

2.52! (factorial) grows rapidly but not as fast as \(n^n\).

3.\(n^2log(n^2)\) has a higher growth rate than the remaining functions due to the logarithmic term.

4.\(n^{(3.14)\)has a higher growth rate than \(n^{(1/3)\) but lower than \(n^2log(n^2)\).

5.\(n^{(1/3)\) grows slower than \(n^{(3.14)\) but faster than \(3log(n^9)\).

6.\(3log(n^9)\) grows slower than \(n^{(1/3)\) but faster than n.

7.n has the slowest growth rate among the given functions.

Note: The growth rates are based on the Big O notation, which provides an upper bound on the function's growth rate.

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Answer:

x = 17/2 or 8.5

Step-by-step explanation:

Here is your problem:

2x = 10 + 7

First we are going to add 7 to both sides.

2x = 10 + 7

+7         +7

Second, we are going to simplify.

2x = 17 (because 10+7 is 17)

Lastly, we are going to divide both sides by 2.

2x = 17

/2     /2

Your answer will be:

x = 17/2 OR 8.5

The probability that monofilament cables will be discovered during the next ten years and that both discoveries will occur within the next twenty years are, respectively, 0.811 and 0.833.

X = time taken to discover Negative gravity

Y = time taken to discover Monofilament Cables

X follow exponential distribution with mean = 10

Y follow exponential distribution with mean = 6

a)P(Y < y) = 1- e^(-y/mean)

 P(Y < 10)

= 1 - e^(-10/6)

= 0.8111

The probability monofilament cables will be discovered within the next 10 years is 0.8111

b)P(X <20 ,Y < 20)= P(X < 20)P(Y < 20)

= (1 - e^(-20/10)) (1 - e^(-20/6))

= 0.8338

The probability both discoveries will take place within the next 20 years

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The rationale underlying the use of projective personality tests, such as the Rorschach test and the thematic apperception test, is that they reveal the subjects' personalities by eliciting responses to vague, ambiguous stimuli.

The rationale underlying the use of projective personality tests, such as the Rorschach test and the Thematic Apperception Test, is that they can reveal a person's unconscious thoughts, feelings, and motivations. These tests use vague and ambiguous stimuli, such as inkblots or pictures, and ask the person to describe what they see or make up a story about the stimuli. The person's responses are believed to reflect their underlying personality traits and psychological conflicts.

The theory is that when faced with ambiguous stimuli, people project their own thoughts, feelings, and motivations onto the stimuli, revealing their unconscious processes.

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When a research hypothesis does not predict the direction of a relationship, the test is typically two-tailed.

A two-tailed hypothesis is used when there is no specific prediction about

the direction of the relationship between variables.

It simply states that there is a relationship between the variables being

studied, but does not specify whether the relationship will be positive or

negative.

In contrast, a one-tailed hypothesis predicts the direction of the

relationship (i.e. positive or negative) and is used when there is a clear

expectation about the direction of the effect. A direct positive hypothesis

predicts a positive relationship between variables.

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In the context of measurement, accuracy and precision refer to two related but distinct concepts. Accuracy is the degree to which a measurement is close to the true value of what is being measured, while precision is the degree to which repeated measurements of the same quantity are close to each other.

The uncertainty of a measurement refers to the degree of doubt or lack of confidence in the result obtained from a measuring instrument. It is typically represented by an interval around the measured value that indicates the range within which the true value is likely to lie.

The accuracy of a measuring device is related to its ability to provide measurements that are close to the true value. If a measuring device is highly accurate, then its measurements will be close to the true value, and the uncertainty associated with those measurements will be relatively small. On the other hand, if a measuring device is not very accurate, then its measurements may be far from the true value, and the uncertainty associated with those measurements will be relatively large.

The precision of a measuring device is related to its ability to provide measurements that are close to each other when measuring the same quantity repeatedly. A measuring device that is highly precise will give measurements that are very close to each other, and the uncertainty associated with those measurements will be relatively small. Conversely, a measuring device that is not very precise will give measurements that are far apart, and the uncertainty associated with those measurements will be relatively large.

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The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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Answer:

108 mm^3

Step-by-step explanation:

the formula for a right rectangular pyramid is lwh/3, so if you multiply 6, 6, and 9, you'll get 324

324/3=108

The area of the model on the right is given by 96 sq cm

The correct answer option is option D.

A model represents a real object on a drawing paper.

Given that the model is triangular in shape, the model on the right is 2 times the model on the left.

Therefore, area of model on the left = area of model on the left × 2².

Area of model on the left = 24 × 4

Area of model on the left = 96 square cm.

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The value of h variable in the missing angle is; h = 22.4°

There are three interior angles in a triangle, when these three interior angles are added together, they give a sum of 180 degrees according to the triangles sum theorem.

Triangle UVW is sketched in the diagram attached attached, where:

m∠WUV = 36°

m∠UVW = (5h − 64)°

m∠AWB = (5h − 16)°.

m∠AWB = m∠VWU = (5h − 16)° [congruent angles]

m∠WUV + m∠UVW + m∠VWU = 180° [triangle sum theorem]

Substitute the relevant values to get;

36 + 5h − 64 + 5h − 16 = 180

Combine like terms to get;

10h - 44 = 180

10h = 180 + 44

10h = 224

10h/10 = 224/10

h = 22.4

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Answer:

The answer is 22.4

Step-by-step explanation: I got it right on my test.

Answer:

  about 0.6903

Step-by-step explanation:

You want the probability that 70 or more of 110 incoming freshmen will graduate in 4 years if the probability that one will do so is 0.654.

A suitable calculator can evaluate the binomial CDF for you. the probability that 69 or fewer will graduate is about 0.31, so the probability that 70 or more will graduate is about 0.69.

p(X ≥ 70) ≈ 0.6903

<95141404393>

Answer:

(4.5, 9.5) OR (9/2, 19/2)

Step-by-step explanation:

To find the midpoint of two points you must add the coordinates and divide by 2.

4+5= 9 /2 = 4.5

9+10= 19/2 = 9.6

(4.5,9.5) or (9/2,19/2)

Answer:

the value of y=6..................

The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.

(x/3) + 5 - 5 ≥ 1/6 - 5

x/3 ≥ -29/6

Multiply both sides by 3.

3(x/3) ≥ 3(-29/6)

x ≥ -29/2

To check, let x = -29/2

x = -29/2 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

(-29/2)/3 + 5 ≥ 1/6

1/6 ≥ 1/6

let x = -14,

x = -14 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

-14/3 + 5 ≥ 1/6

1/3 ≥ 1/6

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The equations to an equivalent equation with a perfect square on one side are below: x² + 8x = 2 ⇒ (x + 4)² = 18, x² + 10x = -13 ⇒  (x + 5)² = 12, x² - 14x = 5  ⇒ (x - 7)² = 54, x² + 2x = 0  ⇒ (x + 1)² = 1, x² + 4x -5 = 0  ⇒ (x + 2)² = 9 and x² -20x = -9  ⇒ (x - 10)² = 91.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

According to the given question, the required solution would be as:

x² + 8x = 2

x² + 2 × 4 × x = 2

Add both sides 16 in the above equation,

x² + 2 × 4 × x + 16 = 2 + 16

x² + 2 × 4 × x + 4² = 2 + 16

As per the formula : (a + b)² = a² + 2 × a × b + b²

(x + 4)² = 18

x² + 8x = 2 ⇒ (x + 4)² = 18

Evaluation each equation similarly, then we get

x² + 10x = -13 ⇒  (x + 5)² = 12

x² - 14x = 5  ⇒ (x - 7)² = 54

x² + 2x = 0  ⇒ (x + 1)² = 1

x² + 4x -5 = 0  ⇒ (x + 2)² = 9

x² -20x = -9  ⇒ (x - 10)² = 91

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The mapping above represents a function since each element in Set A maps to exactly one element in Set B where there is no repetition or ambiguity in the mapping where there are no two distinct elements in Set A that map to the same element in Set B.

Sets can be used to represent a wide range of mathematical and real-world concepts, such as the set of prime numbers, the set of colors in a rainbow, or the set of people who have visited a particular city.

Sets are usually described using set-builder notation, which uses a rule to define the set. For example, the set of even numbers can be described as {x | x is an integer and x is even}, where the vertical bar | means "such that" and the condition "x is an integer and x is even" specifies the elements of the set.

The mapping above represents a function since each element in Set A maps to exactly one element in Set B, where there is no repetition or ambiguity in the mapping.

To fill in the blanks:

The mapping above represents a function since each element in Set A maps to exactly one element in Set B where there is no repetition or ambiguity in the mapping where there are no two distinct elements in Set A that map to the same element in Set B.

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Answer:

3.2768 feet

Step-by-step explanation:

The situation can be model by h(x)=8*(4/5)^(n-1). For the 5th jump, n=5. The height will be 8*(4/5)^4=3.2768

Answer:

98-45/17=3.11

Step-by-step explanation:

Thanks for the points

Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation:

Answer:

13. Bestie literally 9+4

Answer:When solving a question like "What number is 4 less than 9?", take a close look at what it is really asking.

You have the number 9 and you are looking for a number that is 4 less than 9. In other words, if you have 9 and take away 4, then how many do you have?

You guessed it! This is a subtraction problem. 9 is the minuend and 4 is subtrahend and the answer we are looking for is the difference.

Therefore, to solve "What number is 4 less than 9?", you subtract 4 from 9 like so:

9 - 4 = 5

Step-by-step explanation:

f(×)=-0,5x+2

8(×)= -5x+3

8×= -5x+3

8-5x+3

3x+3

x6

The nearest tenth as required, the point of intersection expressed as (0.2, 2.1).

To solve the system of equations,  to find the points where the two functions intersect, which means the x-values where f(x) equals g(x). Let's proceed with the solution:

f(x) = -0.5x + 2

g(x) = -5x + 3

Set f(x) equal to g(x):

-0.5x + 2 = -5x + 3

Now, let's solve for x:

Add 0.5x to both sides to eliminate the term with x on the left side:

2 = -4.5x + 3

Subtract 3 from both sides:

-1 = -4.5x

Now, divide by -4.5 to isolate x:

x = -1 / -4.5

x ≈ 0.2222

Now that we have the x-value of the point of intersection, let's find the corresponding y-value by plugging x back into either f(x) or g(x). Let's use f(x):

f(x) = -0.5x + 2

f(0.2222) = -0.5(0.2222) + 2

f(0.2222) ≈ 2.1111

So, the point of intersection is approximately (0.2222, 2.1111).

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The equation of line that is parallel to y = -4 and passes through the point (3,7) is y = 7

Since the line we want to find is parallel to y = -4, it has the same slope as y = -4, which is 0 (since the line is horizontal).

Now we can use the point-slope form of the equation of a line to find the equation of the line passing through the point (3,7) with slope 0

y - y1 = m(x - x1)

where (x1, y1) is the given point, and m is the slope.

Plugging in the values, we get

y - 7 = 0(x - 3)

Simplifying, we get

y - 7 = 0

y = 7

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What is the equation of a line that is parallel to y = -4 and passes through the point (3,7)?

The correct inequality that represents the given scenario is, x + 4 ≤ 16. Hence option A is true.

Used the concept of inequality,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that,

Joanne volunteers 4 hours more per week than Richard does.

In a given week, they do not volunteer for more than a combined total of 16 hours.

Let x be the number of hours that Richard volunteers.

Then the correct inequality is,

x + 4 ≤ 16

Therefore, option A is true.,

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Answer:

100 times more

Step-by-step explanation:

if you multiply 7,000,000 by 1000 you get 7,000,000,000

Step-by-step explanation:

Notice the vertex and focus have the same y coordinate so this means we will have sideways parabola.

Equation of a sideways parabola is

\((y - k) {}^{2} = 4p(x - h)\)

Since the vertex is (0,0), we can get rid of h and k.

\( {y}^{2} = 4px\)

Next Section: Value of P:

The value of P is the displacement between the focus and vertex.

So we do

\(p = x _{focus} - x _{vertex}\)

\( p = - 6 - 0\)

\(p = - 6\)

\( {y}^{2} = 4( - 6)x\)

\( {y}^{2} = - 24x\)

or

\( - \frac{ {y}^{2} }{24} = x\)

Answer:

21

Step-by-step explanation:

Please give me brainliest

Answer:

you need 2 people to answer so here you go

Step-by-step explanation:

Answer:

k = \(\frac{11}{4}\)

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 2

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3k, 6) and (x₂, y₂ ) = (k, - 5)

m = \(\frac{-5-6}{k-3k}\) = \(\frac{-11}{-2k}\) = \(\frac{11}{2k}\) = 2 ( multiply both sides by 2k )

4k = 11 ( divide both sides by 4 )

k = \(\frac{11}{4}\)

Answer:

k= 11

4 because when you find the opposite pro bioniomals with mc² and you add 45 + 3 - 6 / -5

Answer:

The answer is a).

Step-by-step explanation:

$42.51 + $4.25 = $46.76