-A 10 kg iron plate contains 2000 I potential energy at a height. find out its heigt​

The average height for a 15-year-old male in the United States is roughly 5 feet, 7 inches, according to the Centers for Disease Control and Prevention (CDC) growth charts (170 cm). Some 15-year-old guys may be shorter or taller than usual.

Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.

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To complete a ratio table, we need to find the missing values that would make the ratios equivalent. 82   19    4:1     164  38    4:1  57   13.5  4:1

328  76    4:1   410  95    4:1

To complete the given ratio table, we need to find the missing values that would make the ratios equivalent. Ratios are used to compare two or more quantities and are expressed in the form of a fraction, with the numerator representing one quantity and the denominator representing another.

Starting with the first row of the table, we can see that the ratio of the first two values is 82:19. To find the missing value in this row, we need to determine what value multiplied by 19 would give us 82. Using basic algebra, we can set up the equation

19x = 82

And solve for x, which gives us

x = 82/19.

= 4.32

This value is approximately 4.32. Therefore, the missing value in the first row is 82:19:4.32.

Moving on to the second row, we can see that the ratio of the first two values is 164:38. Similar to the first row, we can find the missing value by determining what value multiplied by 38 would give us 164.

Solving the equation

38x = 164

x = 164/38,

= 4.32.

Therefore, the missing value in the second row is 164:38:4.32.

In the third row, only one value is given, which means we need to determine the other value that would make the ratio equivalent to the previous rows.

Since the missing value in the first two rows is 4.32, we can set up the equation

57: x = 82/19

And solve for x.

This gives us x = 57 * (82/19), which is approximately 244.42. Therefore, the ratio in the third row is 57:244.42.

In the fourth row, we can use the same approach as the previous rows to find the missing value. Setting up the equation

76x = 328

x = 328/76,

which is approximately 4.32. Therefore, the missing value in the fourth row is 328:76:4.32.

Finally, in the last row, we are asked to explain the process of completing a ratio table. To complete a ratio table, we need to determine the missing values that would make the ratios equivalent. This involves setting up equations based on the given ratios and solving for the missing values. Once we have found the missing values, we can add them to the table and ensure that the ratios are equivalent across all rows

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a) matrix is 4 x5 , null space is 3 dimensional then rank = 2. b) A is 6x7 matrix :  the column vectors with leading 1's of the row vectors forms a basis for column space. Maximum possible dimension for Col(A) = 6.

A matrix's rank is defined as the largest number of its characteristic equation columns (or rows). A matrix's rank is limited to a handful of its rows and columns.

A square matrix has columns (rows) that are only linearly independent if the matrix is not unique. To put it another way, any nonsingular matrix of order m has rank m. The symbol for a matrix A's rank is (A).

A null matrix has 0 rank. No non-zero rows or columns exist in a null matrix. There are no distinct rows or columns as a result. Hence, a null matrix has a rank of 0.

a) matrix is 4 x5 , null space is 3 dimensional then rank = 2

b) A is 6x7 matrix :  the column vectors with leading 1's of the row vectors forms a basis for column space.

Maximum possible dimension for Col(A) = 6

c) If null space = {0,0,0,0,0}, then

The for Ax= B, column vector B is the solution for the system.

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From the given data, we say a definite integral is improper if one endpoint is infinite, or if the integrand is infinite.

One endpoint is infinite, or if the integrand is infinite, the definite integral cannot be evaluated using the usual techniques. Instead, we must use the concept of a limit to find the value of the integral, if it exists. In the case where one endpoint is infinite, we take a limit as a variable approaches infinity. In the case where the integrand is infinite, we may need to split the integral into pieces or use some other method to deal with the singularity.

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Answer:

The area is one side times the other side

Make the other side x.

12x=42

x=42/12=3.5

The perimeter is 2x+2y where x and y are sides of the rectangle.

P= 2(3.5)+2(12)=7+24=31 inches

Hope this helps.

Answer: 3.5

Step-by-step explanation:

42/12 = 3.5

Reflection across x=3 is a transformation that involves reflecting a figure across a vertical line of symmetry at x=3.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.


This transformation produces a mirror image of the original figure. Reflection across x=3 can be represented in the form of a matrix equation,

A= [[-1, 0],
   [ 0, 1]]

This matrix equation demonstrates that the x coordinates of a point will be multiplied by -1, while the y coordinates will remain unchanged. This transformation is also known as a reflection over the y-axis.

Reflection across x=3 can be used to change the orientation of a figure in a 2-dimensional coordinate plane. For example, if a triangle is located at the position (2,4) and the coordinates need to be changed so the triangle is reflected across x=3, the coordinates would be transformed to (-2,4).

Reflection across x=3 can also be used to solve various types of mathematical problems. For example, if a problem asks for the coordinates of a point that is the reflection of a point across x=3, the coordinates of the reflected point can be calculated by multiplying the original x coordinate by -1 and leaving the y coordinate unchanged.

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Answer:

Domain = {2, -5, 5, -7 }

Range = { 0, 1 , 3 , 8 }

Answer:

1 pin = 473.17 ml

Step-by-step explanation:

1 pin = 473.17 ml

To convert pin to ml, you need to take the number of pin times 473.17.

Answer:

Total surface area of the prism = 333 cm².

Step-by-step explanation:

The total surface area of the prism is A = 420 cm²

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

The length of the prism L = 15 cm

Now , cross section of the prism is the trapezium ABCD

And , ∠DAB = ∠CDA = 90°

The measure of sides of the prism are

AB = 9 cm

DC = 6 cm

And , AD = 4 cm

Now , total surface area of prism is A = 2B + ph

On simplifying , we get

S₁ = ( 1/2 ) ( 6 + 9 ) ( 4 x 2 ) + ( 6 x 15 ) + ( 4 x 15 ) + ( 9 x 15 )

S₁ = 345 cm²

Now , the perpendicular CE to AB is drawn and

DC = AE = 6 cm

And , BE = AB - AE = 3 cm

BC² = CE² + BE²

On simplifying , we get

BC = 5 cm

S₂ = 5 x 15 = 75 cm²

So , the total surface area S = S₁ + S₂ = 420 cm²

Hence , the surface area of prism is S = 420 cm²

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The complete question is attached below :

The diagram shows a solid prism of length 15 cm. The cross section of the prism is the trapezium ABCD. Angle DAB = angle CDA = 90°. AB = 9 cm, DC = 6 cm and AD = 4 cm. Calculate the total surface area of the prism.​

domain is x

range is y

domain is time

range is distance

domain is between 0 & 170 seconds

range is 0 & 60 meters

meters per seconds is like

miles per hour so

this graph is about SPEED !

speed is usually indicated by the graph's

SLOPE !

The equivalent of 1/4 acre in square feet according to the relation between the two is 10,890.

Square feet and acre are the units which are representative of area covered by a land. The conversion of square feet and acre is simple and can be performed through simple formula -

1 acre is equal to 43, 560 square foot

So, using this relationship to find the square feet equivalent of 1/4 acre.

Area covered by 1/4 acre = amount of area covered in acre × equivalent of one acre in square foot

Area covered by 1/4 acre = 1/4 × 43, 560

Performing multiplication on Right Hand Side of the equation

Area covered by 1/4 acre = 10, 890 square feet

Hence, 10, 890 square feet is occupied by 1/4 acre.

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The minimum number of minutes that Lydia still needs to practice is 105 minutes to meet her coach's requirement.

To find the minimum number of minutes that Lydia still needs to practice, we first need to solve the inequality:

3.75 + h ≥ 5.5

Subtracting 3.75 from both sides, we get:

h ≥ 1.75

This means that Lydia still needs to practice for at least 1.75 hours to meet her coach's requirement of practicing for at least 5.5 hours per week.

To find the minimum number of minutes, we can multiply 1.75 by 60, since there are 60 minutes in an hour:

1.75 × 60 = 105 minutes

So, Lydia still needs minimum 105 minutes to practice.

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Answer:

I hope u understand my handwriting

Answer:

9 Paper Clips

Step-by-step explanation:

See picture below :)

Answer:

Line Segment

Step-by-step explanation:

Answer:

484ft

Step-by-step explanation:

Split the shape into different shapes like triangles and squares.

area of a triangle: [tex]A=\frac{ab}{2}[/tex]

Area of a square: A = l x w

sinθ = -0.9798 (rounded to two decimal places).

What is the Trigonometry ?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and the trigonometric functions that describe those relationships.

We can use the identity sin²θ + cos²θ = 1 to find sinθ, since we know cosθ:

sin²θ + cos²θ = 1

sin²θ + 0.2² = 1 (substituting cosθ = 0.2)

sin²θ = 0.96

Taking the square root of both sides, we get:

sinθ = ± 0.9798

Since θ is in the second quadrant, sinθ is negative.

Hence, sinθ = -0.9798 (rounded to two decimal places).

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The  Ivan ran a total distance of 550 meters and the Ivan's displacement was 150 meters to the east.

1. To calculate the distance, we need to add up all the distances Ivan ran, regardless of the direction.

Total distance = 300 m + 200 m + 50 m = 550 m

2. To calculate the displacement, we need to find the net change in Ivan's position, which takes into account both distance and direction.

We can start by drawing a diagram to represent Ivan's motion:

      <--- 300 m --->  <--- 200 m ---> <--- 50 m --->

              East              West             East

                (+)               (-)              (+)

Here, the arrows represent the direction of Ivan's motion, and the symbols (+) and (-) represent the direction of his displacement.

To find the displacement, we can add up the individual displacements:

Displacement = +300 m - 200 m + 50 m = +150 m

The positive sign indicates that Ivan ended up 150 meters east of his starting position.

So Ivan's displacement was 150 meters to the east.

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The coordinates of triangle A'B'C' after a translation of triangle ABC based on the transformation rule (x, y) → (x - 4, y + 3) are A' (-2, 7), B' (-2, 0), and C' (3, 0).

The coordinates of quadrilateral Q'R'S'T' after a translation based on the transformation rule are Q' (-2, 0), R' (4, 0), S' (-2, -8), and T' (-2, -8).

In Mathematics, the translation of a geometric figure to the right simply means subtracting a digit to the value on the x-coordinate (x-axis) of the pre-image of a function.

By translating the coordinate of triangle ABC to the left by 4 units and vertically upward by 3 units, the coordinates include the following:

(x, y)                               →                          (x - 4, y + 3)

Coordinate A = (2, 4)   →    Coordinate A' (2 - 4, 4 + 3) = (-2, 7).

Coordinate B = (2, -3)   →    Coordinate B' (2 - 4, -3 + 3) = (-2, 0).

Coordinate C = (7, -3)   →    Coordinate C' (7 - 4, -3 + 3) = (3, 0).

By translating the coordinate of quadrilateral QRST vertically downward by 4 units, the coordinates include the following:

(x, y)                               →                          (x, y - 4)

Coordinate Q = (-2, 4)   →    Coordinate Q' (-2, 4 - 4) = (-2, 0).

Coordinate R = (4, 4)   →    Coordinate R' (4, 4 - 4) = (4, 0).

Coordinate S = (-4, -4)   →    Coordinate S' (-4, -4 - 4) = (-2, -8).

Coordinate T = (-2, -4)   →    Coordinate T' (-2, -4 - 4) = (-2, -8).

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The value of x if lines m and n are parallel is 64 degrees

The missing information to answer this complete question is added as an attachment

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

Lines m and n are parallel lines

This means that

2x - 8 + 60 = 180 ---- by angles on a straight line theorem

Collect the like terms

2x = 180 - 60 + 8

Evaluate the like terms

2x = 128

Divide by 2

x = 64

Hence, the value of x is 64 degrees

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Answer:

9(x + 17) ≥ -23

Step-by-step explanation:

Let's start by breaking down the sentence:

"A number": We can represent this as a variable, say "x".

"The sum of a number and 17": This is x + 17.

"Nine times the sum of a number and 17": This is 9(x + 17).

"Is at least -23": This means the expression on the left-hand side of the inequality is greater than or equal to -23.

Putting it all together, we get the inequality:

9(x + 17) ≥ -23

A geometric progression is the sum of the terms of a geometric progression. The nth partial sum of a geometric sequence can be calculated from the first term a1 and the common quotient r as: Sn=a1(1−rn)1−r.

A geometric progression is a sequence of numbers formed by multiplying the common quotient 'r' by each of the preceding numbers. The first term in this series is a1. And the nth partial sum of the series, Sn is calculated by multiplying the first term a1 by the magnitude (1-rn) divided by (1-r).

This equation gives us the sum of the first n terms of a geometric progression. For example, if a1 = 2 and r = 2, then partial sum S3 of the first three terms in the series is 2*(1-2^3)/(1-2)= 2/1 = 2. In other words is the sum of the first three terms of series '2.' The subsumed equation is very useful tool for computing sum of any number of terms in a geometric series.

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We would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.

What is function ?

Function can be defined in which it relates an input to output.

To simplify f(x) + g(x) where f(x) = 3x + 2 and g(x) = 4x, we can simply add the two functions by adding their corresponding terms. Therefore, f(x) + g(x) = 3x + 2 + 4x = 7x + 2.

To simplify the function f(g(x)), we would first substitute g(x) into the expression for f(x) wherever x appears, giving f(g(x)) = 3(g(x)) + 2

Then, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.

Combining functions can be useful in many situations, such as in physics or engineering where multiple variables or parameters are involved in a single equation. It can also be useful in finance or economics where the behavior of multiple factors needs to be modeled in a single function.

Therefore, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.

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The result of the given expression of multiplication 4 x 2 is equal to 8.

Let us consider the expression of multiplication is represented by 'y' .

y = 4 x 2

We can solve above expression in two ways to get the result

1. Addition method.

2. Product method.

First method :

Addition method is explained as :

4 times 2 means :

Four is added two times

4 + 4 which is equal to 8.

or

2 + 2 + 2 + 2 = 8

Second method :

Product method :

Four times two means:

Fours two's are eight.

Therefore, the result value of the multiplication expression 4 x 2  is equal to 8.

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n = 10

Her sister is 7 years old subtract that from 31 gets you 24, then double 7 is 14 so subtract 14 from 24, and that gets you the value of 10 which equals 10

12 adults can go with the 9 kids, while ratio changes 3kids to 4 adults.

A ratio is a comparison between two or more quantities. It is usually expressed as two numbers separated by a colon.

For example, 2:3 is a ratio indicating two parts of a whole compared to three parts of the same whole. Ratios can also be used to compare different units, such as 5 miles to 8 kilometers. Ratios can provide a useful tool for comparing and contrasting different values.They can be used to compare sizes, proportions, costs, and more.

3 kids : 4 adults

9 kids : x adults

9x = 12*4

x = 12

Therefore, 12 adults can go with the 9 kids.

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Aristotle was the first to draw the conclusion that the Earth is round from actual data.

The first people to reach the empirically supported conclusion that the Earth was spherical were the ancient Greeks. In the sixth century BCE, Pythagoras originally put out the notion of a spherical Earth, which was further expanded by his disciples Parmenides and Plato. Yet in the fourth century BCE, the Greek philosopher Aristotle offered the strongest factual support for a spherical Earth.

Aristotle noted that the Moon experiences a bent shadow from the Earth during lunar eclipses. He understood that the Earth would have to be a sphere for this to happen. Aristotle also observed that the North Star's height fluctuates as one moves north or south, which could only be justified if the Earth were curved. Aristotle came to the conclusion that the Earth was a spherical based on these and other observations, which was a commonly held belief in the ancient world and has subsequently been supported by a wealth of data.

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The correlation coefficient for the data shown in the scatter plot is- 0.9.

The correlation coefficient is a measure of the strength of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. The correlation coefficient can be used to measure the strength of the linear correlation between two variables, as well as identify whether a relationship between two variables is positive or negative. It can also be used to compare the strength of different relationships between multiple variables.

The scatter plot shows a strong negative linear relationship between the two variables, indicating that as one variable increases, the other variable decreases. Therefore, the correlation coefficient is likely to be close to -1, making -0.9 the best estimate.

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No,Sarah would have 16 small stones and 14 large stones on the sixth day, since it's +4 small stones and +3 large stones per day. You must show your working if you want the marks. Best of luck!

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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First, we need to perform the calculation within the parentheses:

698347 + 2834619 = 3532966

Then, we can multiply the result by 3:

3532966 x 3 = 10598898

Therefore, 698347+2834619 times 3 is equal to 10598898.