NPO and RPQ both share rays with QPO. Do NPO and RPQ have the same measure? How do you know?

Answer:

Composite functions

Step-by-step explanation:

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

947

Step-by-step explanation:

Answer:

For solving x         x= -24+y/4  For solving Y                y=−24−4x

Step-by-step explanation:

This is solving for x

Add y to both sides.

−4x=24+y

Divide both sides by -4

and the answer is

x= -24+y/4

THis is solving Y

Add 4x to both sides

−y=24+4x

Multiply both sides by -1

and the answer is  

y=−24−4x

The irrational number between 5,25 and 5,26 is 2.5135145:

The irrational number between 5,25 and 5,26

2.5135145...

The number is non-terminating and non-recurring. Hence, it is an irrational number.

A real number that cannot be expressed as a simple fraction is called an irrational number.

It is impossible to express in terms of a ratio.

If N is irrational, it is not equal to p/q, where p and q are integers and q is not equal to 0.

Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.

An irrational number is a real number that cannot be expressed as a fraction of two integers. In other words, it is a number that cannot be written as a simple fraction or a ratio of integers. Irrational numbers are decimal numbers that go on forever without repeating. Some famous examples of irrational numbers include pi (3.14159265...) and the square root of 2 (1.41421356...).

Irrational numbers have some interesting properties. For example, they are non-repeating and non-terminating, which means that their decimal expansions never repeat and never come to an end. This makes them difficult to work with, but also makes them important in mathematics and science. Irrational numbers are used in a variety of mathematical and scientific applications, including geometry, physics, and cryptography.

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The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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If Cynthia keeps up her pace, she will finish the 248-mile bike race in approximately 7.29 hours.

To determine how many hours Cynthia will finish the 248-mile bike race given her pace of 68 miles in 2 hours, follow these steps:

1. Calculate her speed by dividing the distance by the time:

speed = 68 miles / 2 hours

speed = 34 miles per hour.

2. Divide the total distance of the race (248 miles) by her speed (34 miles per hour) to find the time:

time = 248 miles / 34 miles per hour

time ≈ 7.29 hours.

Thus, we can state that if Cynthia keeps up her pace, she will finish the 248-mile bike race in approximately 7.29 hours.

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Answer:

Slope: \(-\frac{2}{5}\)

Y-intercept: 2

Step-by-step explanation:

We have to isolate y;

2x + 5y = 10

5y = -2x + 10

y = \(\frac{-2x + 10}{5}\)

y = \(-\frac{2}{5} x + 2\)

Hope this helps!

When we want to determine the goodness of fit in a linear regression model, we need to review R2 and the F statistic. Option D .

R2, or the coefficient of determination, is a measure of how well the linear regression model fits the data. It represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s). R2 ranges from 0 to 1, where 0 indicates no fit and 1 indicates a perfect fit.

The F statistic, on the other hand, tests whether the linear regression model as a whole is statistically significant. It compares the variation explained by the model to the variation that cannot be explained by the model. If the F statistic is greater than the critical value at a certain level of significance (e.g., 0.05), then we can reject the null hypothesis that the model is not significant.

Therefore, to determine the goodness of fit in a linear regression model, we need to review R2 to understand how well the model fits the data, and the F statistic to test the overall significance of the model. Other coefficients, such as B1 (slope) and the alpha test (test for significance of individual regression coefficients), may also be useful for understanding the model, but they are not the primary measures of goodness of fit.

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Answer:

The answer is -2

Step-by-step explanation:

When you subtract a negative with a negative, you change the problem to an addition by adding the negative number to a positive. -8--6 would look like -8+6.

The answer is On a coordinate plane, a line is lever and then curves upwards rapidly (D).

The graph that represents an exponential growth function is (d) on a coordinate plane, a line is level and then curves upwards rapidly.

Exponential functions are functions that are defined as \(y = ab^x\)

Where:

Assume that a has positive value, and the b is greater than 1.

Then it means that, the function is an exponential growth function.

An exponential growth function that has a positive initial value will start with a level line, then curve up

Hence, the graph that represents an exponential growth function is (d)

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The term that best describes this scenario is "self-fulfilling prophecy."

This is because a self-fulfilling prophecy occurs when an individual believes something to be true, and as a result, they act in ways that cause that belief to become reality. In this case, the individual's father had always told them that they had mechanical abilities, which led the individual to believe that they were good at fixing things.

However, when they tried to fix their bike for the first time and failed miserably, this experience could reinforce the belief that they are not good at mechanical tasks. This could lead to the individual avoiding mechanical tasks in the future, further reinforcing the belief that they are not good at them. Therefore, it is important to recognize self-fulfilling prophecies and try to break the cycle by challenging negative beliefs and trying new things to build confidence and competence.

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Answer:

no solution

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

0.3654 is the probability that the accident involved someone 45 or older given that the accident involved a driver with BAC over 0.08.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. In addition to being represented as percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.

The probability is a measure of how likely an event is to occur. It gauges the event's degree of certainty. P(E) = Number of Favorable Outcomes/Number of All Outcomes is the formula for probability.

Given that,

one of these 500 accidents was chosen at random.

the accident involved someone 45 or older

Thus, P ( 45 and over | driver with BAC over 0.08) = P (A | B)

P (A | B) = P (A∩B) / P(B)

or, P (A | B) = P ( 45 and over ∩ driver with BAC over 0.08) / P (driver with BAC over 0.08)

or, P (A | B) = 38 / 104

or, P (A | B) =  0.3654

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The complete question is as follows:

Answer: 4 ten-point questions and 15 four-point questions

Step-by-step explanation:

We will set up a system of equations to help us solve this question. Let x be ten-point questions and y be four-point questions.

         A test has 19 questions;

                   x + y = 19

         ... worth a total 100 points;

                   10x + 4y = 100

Now, we will solve by graphing. See attached. The point of intersection is our solution, where the lines cross each other.

         (4, 15), 4 ten-point questions and 15 four-point questions.

The sequence of numbers when X4 = 1 is 1, 0, 1, 0, 1.

An iterative process is a repetitive method in math that often begins with an initial figure that continues in a sequence. For the iterative process above, Xn+1 = (x) - xn

Assuming that x is a constant and we begin with x₀, we will have:

x₁ = x - x = 0

x₂ = x - 0 = x

x₃ = x - x = 0

x₄ = x - x₃ = x

If we say that x₄ = 1, this means that x is 1 and when we plug this into the iteration, we get the sequence, 1, 0, 1, 0, 1.

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Answer:

Según los datos brindados, la altura de la pirámide egipcia de Keops sería de:

Step-by-step explanation:

Para resolver el ejercicio, debes conocer la fórmula para calcular el volumen de una pirámide cuadrangular, el cual es el tipo de pirámide al cual pertenece la pirámide de Keops:

Donde:

Como queremos identificar la altura, despejamos esa variable de la ecuación, pero para simplificar un poco, vamos a escribir el volumen de la pirámide con la variable "v":

Y en esta ecuación que despejamos, procedemos a reemplazar los valores de volumen y base que nos dieron en el ejercicio:

Y realizamos las operaciones correspondientes:

Aproximamos el número al entero más cercano, por lo tanto, la altura de dicha pirámide con los datos dados sería de aproximadamente 146 metros.

Answer:

Point A reflected = 7, -8

Point B reflected = 2, -3

Step-by-step explanation:

Answer:

-30v + 5w + 5

Step-by-step explanation:

-5(6v - w - 1) =

Multiply -5 by each term inside the parentheses.

= -5 * 6v - (-5) * w - (-5) * (-1)

= -30v + 5w + 5

Answer:

C (the third one)

Step-by-step explanation:

The model to show the cost of the shirt is x+49.95=79.16. Therefore, the cost of shirt is $29.21.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Jeremy spent a total of $79.16 on a shirt and one pair of jeans.

Let the cost of shirt be x.

The jeans cost is $49.95

Now, the cost of shirt + the cost of jeans = Total cost

⇒ x+49.95=79.16

⇒ x=79.16-49.95

⇒ x=$29.21

Therefore, the cost of shirt is $29.21.

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Answer:

Step-by-step explanation:

The age of three sisters are consecutive integers meaning they are only one year apart.

E.g. sister 1 = x yrs old

Sister 2 = (x + 1) yrs old

Sister 3 = (x + 2) yrs old

They have a sum of 180 meaning if you add all 3 of their ages, you get a total of 180.

Sister 1 + sister 2 + sister 3 = 180

x + (x + 1) + (x + 2) = 180

So gather the like terms and you get:

3x + 3 = 180

Subtract 3 from both sides

3x = 180-3 = 177

Solve for x by dividing both sides by 3.

x = 177/3 = 59

So now we know what x is so you just plug it back into the equations at the beginning for the ages of each of the sisters.

Sister 1 = x = 59

Sister 2 = x + 1 = 59 + 1 = 60

Sister 3 = x + 2 = 59 + 2 = 61

The  Bayes's theorem help us to take an better prediction of even with the help of another occuring event.

Bayes' theorem, in probability hypothesis, a method for reexamining expectations considering important proof, otherwise called restrictive likelihood or opposite likelihood. The hypothesis was found among the papers of the English Presbyterian clergyman and mathematician Thomas Bayes and distributed after death in 1763.

Bayes' theorem expresses that the contingent likelihood of an occasion, in view of the event of another occasion, is equivalent to the probability of the subsequent occasion given the principal occasion duplicated by the likelihood of the main occasion.

This theorem gives us an idea to take better prediction of the event.

Option(a)  to help you make a better decision is correct answer.

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To solve this problem, we'll use the concept of the sampling distribution of the sample mean. Given that the average time to run a 5k is 30 minutes with a standard deviation of 3 minutes, we can assume that the distribution of the sample mean of 15 finishers will be approximately normally distributed.

The mean of the sampling distribution of the sample mean is the same as the population mean, which is 30 minutes.

The standard deviation of the sampling distribution of the sample mean, also known as the standard error, is given by the formula: standard deviation / sqrt(sample size).

In this case, the standard error is 3 minutes / sqrt(15) ≈ 0.775 minutes.

To find the probability that the average finishing time is faster than 29 minutes, we need to find the z-score corresponding to 29 minutes and then look up the corresponding probability in the standard normal distribution table (Z-table).

The z-score is calculated using the formula: (x - μ) / σ, where x is the value we want to find the probability for, μ is the population mean, and σ is the standard deviation.

For 29 minutes:

z = (29 - 30) / 0.775 ≈ -1.29

Now, we look up the probability corresponding to the z-score of -1.29 in the Z-table.

The probability that the average finishing time is faster than 29 minutes is approximately 0.099.

Therefore, the probability is approximately 0.099 or 9.9% (rounded to three decimal places).

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Answer:

STEM ___ LEAF

1 _______0_ 7 _ 9 _ 9

2_______0 _ 4 _ 4 _ 6

3_______0 _ 2 _ 5 _ 5

Step-by-step explanation:

Given the ordered version of the data:

10, 17, 19, 19, 20, 24, 24, 26, 30, 32, 35, 35

. The stem is the tens digit and leaf is the unit digit of each data.

STEM ___ LEAF

1 _______0_ 7 _ 9 _ 9

2_______0 _ 4 _ 4 _ 6

3_______0 _ 2 _ 5 _ 5

Since there isn't any option given, then the row could be any of row values above.

For the given coordinates, the equation of line is y = 1, The coordinates of foot of perpendicular will be (0, 5)

Assume that ax + by + c = 0. is a continuous line. If a perpendicular line is drawn from any point on the plane to the provided straight line, the intersection of the two lines is referred to as the foot of the matching perpendicular.

Because a perpendicular line is created from point P to the y-axis, the distance between its intersection with the x-z plane remains constant.

Given,

the points of line are - (1, 1) and (5, 5).

equation of line = (y - yo) = m (x - xo)

⇒ y - 1 = \(\frac{5 - 1}{5 - 1}\) (x - 1)

⇒ y = 1. is the equation of the line,

Let us consider the point (a,b) such that it is the foot of the perpendicular,

Now, as the line line joining the points (1,5) and (a,b) will be perpendicular to each other,

⇒ y - 1 = b - 5 / a - 1 (x - 1)

The slope of one line is the negative inverse of other line,

⇒ b - 5 / a -1 = 0

⇒ b = 5

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Answer:

49x^14

Step-by-step explanation: