A. Are points A, C, and E coplanar?

B.Name the three lines:

c. Name three coffinear points:

d. What is the intersection of line AB and line CD?

The required sum of digits is 16 which is not divisible by 3, so 26,341 is not divisible by 3.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
To determine if 26,341 is divisible by 3, we can add up the digits of the number and see if the result is divisible by 3.

2 + 6 + 3 + 4 + 1 = 16

16 is not divisible by 3, so 26,341 is not divisible by 3.

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Answer:

≈ 106.5 feet

Step-by-step explanation:

Let's start by drawing a picture of the situation. Imagine a kite flying in the air, with a string attached to it that is pulled taut (pulled tight so there's no slack). The string is 86 feet long. We want to know how high the kite is in the air, and we know that the angle of elevation of the kite is 53 degrees.

Now, the angle of elevation is the angle between the horizontal (the ground) and the line of sight from the observer (you) to the object (the kite). In this case, you are looking up at the kite, so the line of sight is the string that connects the kite to the ground.

To find the height of the kite, we need to use trigonometry. Specifically, we'll use the tangent function, which relates the opposite side of a right triangle (in this case, the height of the kite) to the adjacent side (in this case, the length of the string) and the angle of elevation.The formula for the tangent function is:

tan(theta) = opposite/adjacent

Where theta is the angle of elevation, opposite is the height of the kite, and adjacent is the length of the string.

We know that the angle of elevation is 53 degrees, and the length of the string is 86 feet. So we can plug those values into the formula and solve for the height of the kite:

tan(53) = opposite/86

opposite = 86 * tan(53)

         ≈ 106.5

So the height of the kite is approximately 106.5 feet.

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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Answer:

Here is how to write and graph an inequality for the budget problem:

Let x be the number of large boxes and y be the number of small boxes. The total cost of the boxes must be less than or equal to the budget of $500. So, we can write the inequality as:

65x + 35y ≤ 500

To graph this inequality, we need to find the boundary line and the shaded region. The boundary line is the equation that we get when we replace the inequality sign with an equal sign, which is:

65x + 35y = 500

To graph this line, we need to find two points on it. We can do this by plugging in some values for x or y and solving for the other variable. For example, if x = 0, then y = 500/35 = 14.29. If y = 0, then x = 500/65 = 7.69. So, two points on the line are (0, 14.29) and (7.69, 0). We can plot these points on a coordinate plane and draw a solid line through them, since the inequality includes the equal sign.

To find the shaded region, we need to test a point that is not on the line and see if it satisfies the inequality. For example, we can test the point (0, 0), which is the origin. Plugging in x = 0 and y = 0 into the inequality, we get:

65(0) + 35(0) ≤ 500

0 ≤ 500

This is true, so the point (0, 0) is a solution to the inequality. This means that the shaded region is the area that includes the point (0, 0) and is below the line.

If Renaldo buys 6 small gift boxes, then y = 6. To find how many large gift boxes he can afford, we need to plug in y = 6 into the inequality and solve for x. We get:

65x + 35(6) ≤ 500

65x + 210 ≤ 500

65x ≤ 290

x ≤ 290/65

x ≤ 4.46

This means that Renaldo can buy at most 4 large gift boxes if he buys 6 small gift boxes. However, since x has to be a whole number, the largest possible value for x is 4. So, Renaldo can buy 4 large gift boxes and 6 small gift boxes and still stay within his budget.

I hope this helps!

Step-by-step explanation:

Answer:9√2

Step-by-step explanation:

you divide 1134 and 7 in square root and it equals sqrt(162)

Then you simplify by taking out numbers out of the square root.

Dana cuts a block of Colby cheese into 9 equal pieces. She serves 6 pieces when the party starts, which is 2/3 of the block. She saves 3 pieces to serve later, leaving 1/3 of the block remaining.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. The number below the line is called the denominator.

Dana cuts a block of Colby cheese into 9 equal pieces. This means that each piece is 1/9th of the block of Colby cheese.

Dana serves 6 pieces of the cheese when the party starts. So the total amount of cheese that she serves is 6 times the size of each piece, which is:

6 pieces x (1/9th of the block) = 6/9 or 2/3 of the block.

Therefore, Dana serves 2/3 of the block of Colby cheese when the party starts.

She saves 3 pieces to serve later, which means that there are still 3/9 or 1/3 of the block of Colby cheese left.

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The average rate of change of candle height from time 45 minutes to time 109 minutes is -1 inch per 64 minutes.

The average rate of change is a measure of how quickly one quantity changes relative to another. It is calculated by dividing the difference between two values by the difference in time between those two values. It is a useful metric when trying to understand the speed at which a given quantity is changing over time.

For example, To calculate the average rate of change in the number of students enrolled in a particular school over the course of 5 years. In year 1, the school had 200 students enrolled and in year 5 it had 350 students enrolled. To calculate the average rate of change, one would divide the difference between the two values (150 students) by the difference in time between them (4 years):

Average rate of change = (350-200) / (5-1) = 150 / 4 = 37.5

This means that, on average, the school's enrollment increased by 37.5 students each year.

The table showing the height of a pyramid candle as it burns can be calculated by dividing the change in height (2 inches) by the change in time (64 minutes).

Change in height = 2 inches

Change in time = 64 minutes

Average rate of change = (2 inches) / (64 minutes) = -1 inch per 64 minutes

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Answer:

Part A:

To determine whether a linear or exponential function can be used to describe the value of each house after a fixed number of years, we need to examine the change in the value of the houses over time. If the change is constant, a linear function can be used. If the change is proportional to the current value, an exponential function can be used.

Looking at the data in the table, we can see that the value of House 1 is increasing by a relatively constant amount each year, whereas the value of House 2 is increasing by a proportional amount. Therefore, a linear function can be used to describe the value of House 1, and an exponential function can be used to describe the value of House 2.

Part B:

For House 1, we can use the formula y = mx + b, where y is the value of the house in dollars, x is the number of years, m is the slope or rate of increase, and b is the initial value. Using the data from the table, we can find the slope and initial value:

m = (264240.79 - 253960) / 2 = 5140.395

b = 253960

So the function to describe the value of House 1 after x years is:

y = 5140.395x + 253960

For House 2, we can use the formula y = ab^x, where y is the value of the house in dollars, x is the number of years, a is the initial value, and b is the growth factor. Using the data from the table, we can find the initial value and growth factor:

a = 256000

b = (270000 / 256000)^(1/3) = 1.02905

So the function to describe the value of House 2 after x years is:

y = 256000(1.02905)^x

Part C:

To determine which house will have the greatest value in 45 years, we can plug in x = 45 into the functions we found in Part B and compare the results. Using a calculator, we get:

House 1: y = 5140.395(45) + 253960 = 472 339.25

House 2: y = 256000(1.02905)^45 = 798 825.85

Therefore, House 2 will have a significantly higher value after 45 years.

Step-by-step explanation:

y = √(x+1)-3

[tex]Graph {y = sqrt(x+1)-3 [-10, 10, -5, 5]}[/tex]

Graph is a diagram that is used to represent data or information. It is a visual representation of data in the form of points, lines, bars, and other shapes. Graphs can be used to show relationships between different quantities, to compare data, and to show changes over time. Graphs are useful for quickly conveying information in an easy-to-understand visual format. They are especially useful for displaying complex data in an intuitive way.

For example, A bar graph can be used to compare the average monthly temperature of five different cities. The x-axis would show the five cities, while the y-axis would show the temperature. Bars would be drawn to represent the temperature of each city. This would make it easy to visually compare the temperatures of the different cities.

The graph of y = √(x+1)-3 is shown above.

To get three points to graph, let's work through the following examples:

When x = 0, y = √(0+1)-3 = 0-3 = -3

When x = 4, y = √(4+1)-3 = 2-3 = -1

When x = 8, y = √(8+1)-3 = 3-3 = 0

Therefore, the three points to graph are (0,-3), (4,-1), and (8, 0).

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The nominal GDP in 2012 is $3,450.00.

The GDP deflator is a price index that measures the average price level of goods and services produced in an economy. It is calculated as the ratio of nominal GDP to real GDP, multiplied by 100.

Nominal GDP (Gross Domestic Product) is a measure of the total value of all goods and services produced within a country's borders during a given period of time, usually a year, using current market prices

To use the GDP deflator formula to answer the question, we need to rearrange the formula and solve for nominal GDP:

Nominal GDP = Real GDP × (GDP deflator / 100)

Plugging in the given values, we get:

Nominal GDP = $2,300.00 × (150.00 / 100) = $3,450.00

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The given question is incomplete, the complete question is:

: The GDP deflator formula can be used in a variety of ways. Use it to answer the questions that follow. Round final answers to two decimal places, as needed. Real GDP $2300.00 GDP deflator 150.00 .what is the nominal GDP in 2012 ?

The cross-section from any side in a square prism is always square.

A cross-section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces. Cutting an object into slices creates many parallel cross-sections.

Cross-section of a square prism :-

The cross-section of a square prism is a square. Since a square prism has its faces shaped in square and all the edges of the square prism are equal in length.

Therefore, when we cut the cube by a plane, we get a square shape.

Hence, the cross-section from any side in a square prism is always square.

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Answer:

a

Step-by-step explanation:

Answer:

1. 24, use similar triangles

2. A , C , D

Step-by-step explanation:

Answer:Using sine law, the value of k in the triangle KLM to the nearest tenth is 2.0 inches.

How to use sine law to find sides of a triangle?

Using sine law,

k / sin K = m / sin M

Therefore,

k = ?

K = 21 degrees

M = 180 - 21 - 88 = 71 degrees

m = 5.3 inches

Hence,

k / sin 21 = 5.3 / sin 71°

cross multiply

5.3 sin 21 = k sin 71°

5.3 × 0.35836794954 = 0.94551857559k

1.89935013259 / 0.94551857559 = k

k = 2.00846113168

k = 2.0 inches

Step-by-step explanation:

The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.

This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).

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Answer:

The probability that the damaged thing came from B is .04/,19 = .2105 or 21.05% of the damaged goods come from company B.

Step-by-step explanation:

Answer:

Choice (C) 6

Step-by-step explanation:

We know that Norman is currently 12 years old, and in 6 years he will be twice the age of Michael.  Using the two numbers, we can divide 12 by 2 and evaluate.

[tex]\frac{12}{2}=6[/tex]

So Michael is 6 years old.

As per the conversion, the weight of 40 pounds is equivalent to a weight of 18.14 kilograms.

Converting measurements can sometimes be a tricky task, especially when we need to convert from one unit to another. One common conversion that we often encounter is the conversion of pounds to kilograms. In this guide, we will explain step by step how to convert 40 pounds into kilograms.

First, we need to understand the basic unit of measurement for both pounds and kilograms. Pounds are a unit of measurement commonly used in the United States and the United Kingdom to measure weight. Kilograms, on the other hand, are the standard unit of measurement for weight in the International System of Units (SI).

To convert 40 pounds to kilograms, we need to use the following formula:

1 pound = 0.45359237 kilograms

Using this formula, we can calculate the equivalent weight in kilograms for 40 pounds. We simply multiply 40 by 0.45359237 to get:

40 x 0.45359237 = 18.14374948 kilograms

So, 40 pounds is equivalent to 18.14374948 kilograms (rounded off to the nearest hundredth) we get 18.14 kilograms.

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The domain is all real values and the range is y <= 3

From the question, we have the following parameters that can be used in our computation:

The graph

The domian is the set of the input values

In this case, the graph has no restriction on its input

So, we have

Domain = all set of real values

For the range, we have

Maximum y value = 3

So, we have

Range: y <= 3

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Answer:

388

Step-by-step explanation:

There will be 388 sixth graders because you just have to do 425 minus 37 if your not sure how to do it just line the numbers up for the tenths to the hundreds

Therefore , the solution of the given problem of domain comes out to be The range is {-10, 2, 3, 4, 5, 6, 7} and The domain is {-10, -6, 2, 3, 4, 5, 6, 7, 10}

The domain of a function is the range of possible arguments that it can accept. The cross of the an f-like functional is represented by these numbers (x). The range of potential values to which a function can be applied is known as its domain. The value that the procedure returns after inserting the x value is part of this set. An equation for a function is Y = f, where y and x are predictor variables (x). When a given value of x can produce a single value of y, a parameter is said to be in the scope of a function.

Here,

To determine if the relation is a function, we need to check if each input value (the "x" value) corresponds to exactly one output value (the "y" value).

Looking at the relation {10, 2, -10, 2, 6, 4, 5, 3, -6, 7}, we can see that the input value 2 corresponds to two different output values, 2 and 4. Therefore, the relation is not a function.

To find the domain, we simply list all the input values in the relation. The domain is:

{-10, -6, 2, 3, 4, 5, 6, 7, 10}

To find the range, we list all the output values in the relation.

The range is:

{-10, 2, 3, 4, 5, 6, 7}

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For the probability distribution of a discrete random variable x, the sum of the probabilities of all values of x must be: equal to 1. The Option C is correct.

The sum of the probabilities of all values of a discrete random variable x must be equal to 1 because, by definition, the probability distribution of a random variable represents the probabilities of all possible outcomes of an experiment, and the sum of the probabilities of all possible outcomes must be equal to 1.

In other words, the probability distribution of a discrete random variable specifies the likelihood of each possible value that the random variable can take on, and the total probability of all possible outcomes must add up to 1, since the outcome of the experiment must be one of the possible values of the random variable.

Mathematically, this can be expressed as:

∑P(x) = 1 where P(x) is the probability of the random variable x taking on a particular value. This equation ensures that the total probability of all possible outcomes is equal to 1, which is a fundamental principle of probability theory.

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The antiderivative of ln x is (1/2)(ln x)^2 + C, where C is any constant. The natural logarithm function ln x is defined only for positive x, so the antiderivative is also defined only for positive x.

The antiderivative (also called the indefinite integral) of ln x is a function that, when differentiated, gives ln x. The symbol for the antiderivative is ∫ln x dx.

To find the antiderivative of ln x, we can use integration by substitution. We start by rewriting ln x as 1 times ln x, and then we use the substitution u = ln x. This means that du/dx = 1/x, or dx = x du.

Substituting these expressions into the integral gives:

∫ln x dx = ∫1 ln x dx = ∫u du

Now we can integrate u with respect to itself:

∫u du = (1/2)u^2 + C

Substituting back u = ln x, we get:

∫ln x dx = (1/2)(ln x)^2 + C

where C is the constant of integration.

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The value of the expression is 1/c - 5

Note that algebraic expressions are described as expressions that are composed of terms, variables, coefficients, factors and constants.

From the information given, we have that;

c/ c² - 7c + 10 - (2/ c² - 7c + 10)

Find the lowest common factors

c - 2/  c² - 7c + 10

solve the quadratic equation

c - 2/ c² - 5c - 2c + 10

Factor the expression, we get;

c- 2/c(c - 5) - 2(c - 5)

Factor the terms

c-2/(c-2)(c-5)

Divide the values

1/c - 5

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To find the values of the standard normal random variable z for the given probabilities, we can use a standard normal distribution table or calculator. A. P(z≤z0)=0.6997, z0=0.52. B. P(−z0≤z≤z0)=0.8026, z0=1.29. C. P(−z0≤z≤0)=0.4702, z0=-0.63. D. P(−1<z<z0)=0.159, z0=0.49

A. P(z≤z0)=0.6997

To find the value of z0 such that P(z≤z0) = 0.6997, we can use a standard normal distribution table or calculator. Looking up the value, we get z0 ≈ 0.52.

B. P(−z0≤z≤z0)=0.8026

To find the value of z0 such that P(−z0≤z≤z0) = 0.8026, we can use the symmetry property of the standard normal distribution. Since the probability is split equally on both sides of the mean, we can find the z-score that corresponds to a probability of (1-0.8026)/2 = 0.0987 on the left tail. Looking up this value, we get z ≈ -1.29. Therefore, z0 ≈ 1.29.

C. P(−z0≤z≤0)=0.4702

To find the value of z0 such that P(−z0≤z≤0) = 0.4702, we can use the symmetry property again. Since the probability is split equally on both sides of the mean, we can find the z-score that corresponds to a probability of (1-0.4702)/2 = 0.2649 on the right tail. Looking up this value, we get z ≈ 0.63. Therefore, z0 ≈ -0.63.

D. P(−1<z<z0)=0.159

To find the value of z0 such that P(−1<z<z0) = 0.159, we can subtract the probability of the left tail (P(z<-1)) from the total probability (0.159 + P(z<-1) = 1). Looking up the value of P(z<-1) in a standard normal distribution table, we get 0.1587. Therefore, the probability of the right tail (P(z<z0)) is 1 - 0.159 - 0.1587 = 0.6823. Looking up the z-score that corresponds to this probability, we get z0 ≈ 0.49.

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Answer:

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Using the fact that the figures are similar, we will get z = 4.

We know that the two figures are similar, then the correspondent quotients between sides must be equal.

That means that we can write the equation:

10/15 = z/6

And we can solve that equation for z, we will get:

z = 6*(10/15) = 4

That is the value of z.

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The usual sign for greater than and less than is "<", the pointed side is always towards the smaller quantity.

When we compare two quantities in mathematics we us the sign"<".

Now, let us say that there are two quantities a and b, and a is greater than b. So, we can write the relation as, a > b. So, we see that b is less than as a and a is greater than b.

Now, to remember this, the pointed side of the sign will be always towards the quantity that is smaller.

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The instrument used to measure the air taken in by and expelled from the lungs is called a spirometer. It measures lung volumes and capacities.

Which are important indicators of lung function and respiratory health. Spirometry is a common test used to diagnose and monitor respiratory diseases such as asthma, chronic obstructive pulmonary disease (COPD), and pulmonary fibrosis.

air that a person inhales and exhales. It measures several lung volumes and capacities, including:

Tidal Volume (TV): This is the amount of air that is inhaled or exhaled during normal breathing.

Inspiratory Reserve Volume (IRV): This is the additional amount of air that can be inhaled after a normal inhalation.

Expiratory Reserve Volume (ERV): This is the additional amount of air that can be exhaled after a normal exhalation.

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