A 23-inch candle burns down in 11 hours. At what rate does the candle burn, in inches per hour?

a and d and ehxgfhsy eyehe74vd surge

Answer:

Volume V = 18.735 m3

Step-by-step explanation:

hope this helps

Answer:

K' (-1,10)

L'(0,4)

M'(2,2)

Step-by-step explanation:

To use the mapping rule, substitute x and y with the original values

The coordinates of K are x=-4, and y=5.

Using the mapping rule, x of K' = -4+3 = -1

Using the mapping rule y of K' = 2x5=10

So K' is at the coordinate (-1,10)

The coordinates of L are x =-3, and y =2.

Using the mapping rule, x of L' = -3+3=0

Using the mapping rule y of L' = 2x2=4

So L' is at the coordinate (0,4)

The coorindates of M are x=-1 and y=1

Using the mapping rule, x of M' = -1+3=2

Using the mapping rule, y of M' = 2x1 = 2

So M' is at the coordinate (2,2).

The triangle is not a right triangle according to Pythagorean's theorem.

In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the length of sides of a right-angled triangle.

In order for the segments connecting the given points to form a right-angled triangle, its side lengths must satisfy the Pythagorean's theorem:

a² + b² = c²

10² + (4√19)² = 14²

100 + 304 = 196

404 = 196 (False).

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The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

Answer:

A

Step-by-step explanation:

Sub in the point given, (3, 1), and check if the equation holds true

7(3) - 8(1) = 13

21 - 8 = 13

13 = 13

The equation held true, therefore, the point (3, 1) is a solution

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Jim stopped reading at 8:05, after reading for 1 hour and 2 minutes when we started at 6:45.

In time problems, we need to know the relations between seconds, minutes, hours, and days.

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds.

We are informed that Jim starts reading at 6:45.

He reads for 1 hour and 20 minutes.

We add this time to the time he starts reading to find the time when Jim stops reading.

First we add hours, 6 + 1 = 7 hours.

Now we add minutes, 45 + 20 = 65 minutes. But we know 60 minutes = 1 hour, so we can say 65 minutes = 1 hour and 5 minutes.

So when we calculate the total time, we get,

Jim stopped reading at 7 + 1:05 = 8:05.

∴ Jim stopped reading at 8:05, after reading for 1 hour and 20 minutes when we started at 6:45.

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The answer of the given question based on the circle is , Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.

Circumference is distance around edge of  circular object. It is same as  perimeter of  circle. The circumference of a circle can be calculated using the radius of the circle, which is half the diameter.

The circumference of  circle with diameter d is given :

C = πd

Using the given diameter of 14 feet, the circumference of the original garden is:

C1 = πd1 = (22/7) * 14 = 44 feet

When the diameter is doubled to 28 feet, the circumference of the new garden is:

C2 = πd2 = (22/7) * 28 = 88 feet

To find how much more fencing Henry needs to purchase to enclose the new garden, we need to subtract the original circumference from the new circumference:

C2 - C1 = 88 - 44 = 44 feet

Therefore, Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.

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If y steel have any question i am waiting for your massage(comment. Or pv)

Answer:

2/11 - chance that you will get a blue marble

3/11- chance that you will get a white marble

Answer:

what are the rods? Are they the same ones as used in the diagram

Step-by-step explanation:

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer:

1 Tenths = 10 Hundredths

10.74 - 10.60 = 0.14

0.14 = 14 hundredths

Thus, you need 10 ones, 6 tenths and 14 hundredths to make 10.74.

Answer:

The third one is the correct answer!

Because:

No more no less.

Hope this helped!

Answer:

Step-by-step explanation:

The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.

The value of x is approximately 10.6. So, the correct answer is B. 10.6

To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.

Using the sine function, we have:

sin(45 degrees) = x / 15

To solve for x, we can rearrange the equation:

\(x = 15 \times sin(45 degrees)\)

Using the exact value of sin(45 degrees) (which is √2 / 2), we have:

\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)

x = 7.5√2

Therefore, the correct answer is B. 10.6.

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Answer:

C. complementary

Michel-Eugène Chevreul discovered that placing complementary colors next to each other can create the greatest contrast and vibrancy in color perception. This is because complementary colors are located opposite each other on the color wheel and, when placed side by side, they enhance each other and create a strong visual impact. For example, placing yellow next to violet or blue next to orange can create a dynamic and eye-catching effect. In contrast, placing tertiary colors (colors made by mixing primary and secondary colors) or arbitrary colors next to each other may not create as much contrast or visual interest. Overall, understanding color theory and the relationships between different colors can be helpful for creating visually appealing designs, artworks, or other color-based projects.

The missing value of the probability distribution is 0.05.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

X     :   0         1           2        3        4

P(X) :   0.30   0.25   0.25   0.15     ?

A discrete probability distribution function has two characteristics:

P(X = 4) = 1 - (0.30 + 0.25 + 0.25 + 0.15)

Apply the addition operation,

P(X = 4) = 1 - 0.95

Apply the subtraction operation to get

P(X = 4) = 0.05

Therefore, the missing value of the probability distribution is 0.05.

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Answer:

135 billion, or 135,000,000,000

Step-by-step explanation:

The 4 in 134 represents the number of billions.  Since the next digit (6) is greater than 5, we must round up, obtaining

135 billion, or 135,000,000,000

When we round off the given number to the billions place, we get -  135,000,000,000.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number.

Given is a number as 134,642,358,000

For rounding of the number to the billions place, first we will have to find the digit representing the billions place. The digit 4 represent the billions place. So we have to round up till digit 4. We can write the rounded number as -  135,000,000,000

Therefore, when we round off the given number to the billions place, we get -  135,000,000,000.

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Answer:

168 inches which is also 14 feet

The sum must be greater than the longest side, not equal to it. The shorter two sides cannot angle up to form a triangle if they are precisely the same. When the sum of the two shortest sides equals the length of the longest side, it does not work.

The Triangle Inequality Theorem is simply a more formal way of expressing what we have just observed.

We discovered that the two short sides, which represent the sum of the two shortest sides, must be longer than the longest side in order for the theorem to hold.

The Triangle Inequality Theorem can be expressed in a variety of ways. It can also be said that any two sides of a triangle must have lengths that are greater than the length of the third side. The two shortest sides must be longer than the longest side when they are joined end to end in order for them to be able to tilt up to create a triangle.

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The the coefficient of variation for set a is 15.7% and the coefficient of variation for set b is 22.3%.

The formula for calculating the coefficient of variation is:

CV = (standard deviation / mean) x 100%

where standard deviation is a measure of the spread of the data around the mean. The CV expresses the standard deviation as a percentage of the mean.

To calculate the CV for set a, we first need to find the mean and standard deviation of the data set. The mean can be calculated by adding all the values and dividing by the number of values.

Mean = (3.97 + 3.47 + 3.99 + 4.30 + 3.16 + 3.07 + 4.24 + 2.94 + 3.56 + 3.43 + 3.06 + 3.34 + 4.35 + 3.57) / 14 = 3.65

The standard deviation can be calculated using a calculator or a spreadsheet software such as Microsoft Excel. For this set, the standard deviation is 0.574.

CV = (0.574 / 3.65) x 100% = 15.7%

To calculate the CV for set b, we need to first remove the dollar sign from each value and then find the mean and standard deviation.

Mean = ($24,800 + $30,000 + $22,300 + $20,400 + $19,000 + $32,200 + $23,000 + $23,000 + $24,000 + $27,200 + $34,900) / 11 = $25,727.27

The standard deviation can be calculated using a calculator or spreadsheet software. For this set, the standard deviation is $5,746.38.

CV = ($5,746.38 / $25,727.27) x 100% = 22.3%

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The 50th term of the arithemetic sequence 40, 36, 32, 28, 24, .. will be - 156 which is the correct answer to this question.

Here In this question, we need to find the 50th term of this sequence and for that, we have to find the common difference in the values.

Here we can notice that each term is getting smaller by 4 so the common difference here is -4.

Equation used :

an = a1 + (n - 1) * d

where

Given :

a1 = 40

d = -4

n = 50

Putting these values into the formula :

a50 = 40 + (50 - 1) × (-4)

On simplifying by the BODMAS rule,

a50 = 40 + 49 × (-4)

a50 = 40 - 196

a50 = -156

Hence -156 is the 50th term of this arithmetic sequence.

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Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)