What is 6 ft 6 ft in inches?

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.

The length of 164 centimeter after conversion to feet is equivalent to 5.38 feet .

The Units such as centimeter , meter , feet , inches , feet , are used to measure the distance between the two points .

We have to convert the length of 164 cm to feet ;

For conversion , we multiply the given length in centimeter by the conversion factor ;

The conversion factor to convert the length is 0.0328 ;

So , on multiplication ,

We get ;

⇒ 164 centimeter = 164 × 0.0328 feet ;

⇒ 164 centimeter = 5.3792 feet ≈ 5.38 feet .

Therefore , 164 centimeter is approximately equal to 5.38 feet .

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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.​

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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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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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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The options that are not polynomials are:

A, B, C, and E.

A general polynomial on a variable x can be written as:

P(x) = aₙ*xⁿ + ... + a₁*x + a₀

The coefficients a are all real numbers, and all the exponents on the variable x must be integer numbers.

So:

We can't have square roots of the variable.

We can't have negative exponents on the variable.

With that in mind, the options that aren't polynomials are:

A: because there is an exponent of 2/3

B: There is an exponent of -3

C: there is an exponent of -2

E: There is an exponent of -2

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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

Answer:

6,16

Step-by-step explanation:

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.

The shape Miss Hodgman is describing a parallelogram.

A parallelogram is a two-dimensional flat shape with four sides. It has two pairs of opposite sides that are parallel and congruent, meaning they have the same length. Each pair of opposite sides is also parallel and has equal distance between them. The four interior angles of a parallelogram are all right angles or 90-degree angles.

The opposite angles of a parallelogram are also congruent, which means they have the same measure. The adjacent angles of a parallelogram are supplementary, which means they add up to 180 degrees. Therefore, each angle of a parallelogram measures 180 degrees divided by two, or 90 degrees.

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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

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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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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Answer:

Line Segment

Step-by-step explanation:

Answer:

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

Range = { 0, 1 , 3 , 8 }

If the recipe calls for 1 5/6 cups of flour, and Finn triples the recipe, he will need 3 times the amount of flour.

To find the total amount of flour Finn will need, we can first convert the mixed number 1 5/6 to an improper fraction:

Next, we can multiply this fraction by 3 to find the total amount of flour needed:

We can simplify this fraction by dividing both the numerator and the denominator by 3:

Therefore, Finn will need 11/2 cups of flour in total.

~ Zeph

So, the product of two irrational numbers may be rational or irrational, depending on the specific irrational numbers being multiplied.

A real number is said to be irrational if it cannot be expressed as the quotient of two integers, p/q, where p and q are both integers. The square root of two, for example, cannot be stated as an integer or a fraction.

No, that statement is not always correct.

In general, the product of two irrational numbers is not necessarily irrational. For example, consider the square roots of 2 and 8:

sqrt(2) * sqrt(8) = sqrt(2) * 2 * sqrt(2) = 2 * 2 = 4,

which is a rational number.

However, there are some cases where the product of two irrational numbers is irrational. For example, the product of the square root of 2 and the square root of 3 is irrational:

sqrt(2) * sqrt(3) = sqrt(6),

which is irrational.

So, the product of two irrational numbers may be rational or irrational, depending on the specific irrational numbers being multiplied.

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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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The required number of pallets used to build one step of the mansion is 1/8 of a pallet of pavers.

In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.

Given:

Total number of pallets used = 3/4,

Number of steps = 6

pallet used to build one step = [3/4] / 6 = 3 / 24

                                               = 1 / 8

As a result, 1/8 of a paver pallet is what is needed to construct one step of the palace.

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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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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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The indicated function values are If x = 0, then f(0) = 2,
If f(x) = 0, then x = - 1

To evaluate f(0), locate the point on the graph where x will be equal to '0' then find out the y-coordinate of that point where the value of f(0) will be equal to f(0).

Similarly, to find the x at f(x) = 0, take the y-coordinate as 0 and find the corresponding x - coordinate.  

Here we have

A graph that shows the function f(x)  

Given  x = 0  then f(0) will be equal to the y - coordinate at x = 1  

=> If x = 0 then f(0) = 2        

Given f(x) = 0 then x will be equal to the x - coordinate at y = 0

=> If f(x) = 0 then x = - 1    

Therefore,

The indicated function values are If x = 0, then f(0) = 2,
If f(x) = 0, then x = - 1

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Answer:

1. 2.25

2. -1

Step-by-step explanation:

right on edge

The surface area of the triangular prism is, 178 cm²

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangular prism is shown in figure.

Now, We know that;

The surface area of the triangular prism is,

⇒ S.A = 2B + ph

Where, B stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.

Here, We have;

Height = 3 cm

Area of Base is,

⇒ B = 11 × 4

       = 44 cm²

Perimeter of base is,

⇒ p = 2 (11 + 4)

      = 2 × 15

      = 30

Hence, The surface area of the triangular prism is,

⇒ S.A = 2B + ph

          = 2 × 44 + 30 × 3

          = 88 + 90

          = 178 cm²

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If x is a rational number, then x = ab and x³ = a³b³, so both x and x³ are rational numbers. Considering the objection to this statement, we conclude that if x is irrational, then x³ is also irrational number.

This question is in the form p → q. Based on the Definition of a rational number is a ∈ Z, b ∈ Z ≥0, and  (a ≠ b) then a/b

Irrational Number:

All irrational numbers are real numbers that are not rational numbers. That is, an irrational number cannot be expressed as a ratio of two integers. A line segment is also said to be incommensurable if the ratio of the lengths of the two segments is irrational. That means there is no common "scale". That is, it can be used to express the length of two given segments as an integer multiple of itself.

Proof by inverse:

Inverse (q → p)

¬q≡ x is rational, and ¬p≡ x³ is rational.

∀x ∈ R:(x2∉Q)⇒(x∉Q) .

Using the method of proof by contradiction, let's try to prove that

∃x ∈ R: (x2∉Q) ∧(x∈ Q).

If  x is irrational, then we can represent it the next way:

x= pq, p∈ Z, q ∈N.

Let's raise  x to the 2nd power:

x³= (pq)³ = p³q³.

But  p³ is an integer and q³ is natural:

m = p³∈Z, n= q³∈N.

So we can say that

x³ =mn, m∈ Z, q∈ N,

which means that  x³ is irrational by definition

If x is a rational number, then x = ab and x³ = a³b³, so both x and x³ are rational numbers.

Considering the objection to this statement, we conclude that if x is irrational, then x³ is also irrational.

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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:

[tex]2x^{2}[/tex] + [tex]2x[/tex] + [tex]2[/tex]

Step-by-step explanation:

1. In the expression: C - 3D, we plug in the values of C and D

2. So we get the expression: [tex](2x^{2} + 5x -1) - 3(x - 1)[/tex]

3. Then we simplify this even more: [tex](2x^{2} + 5x -1) - (3x + 1)[/tex] by multiplying 3 to the numbers in the parentheses

4. Now we can remove the parentheses: [tex]2x^{2} + 5x - 1 - 3x + 3[/tex]

5. Now we can put the like terms next to each other: [tex]2x^{2} + 5x - 3x + 3 - 1[/tex]

6. FINALLY we simplify: [tex]2x^{2} + 2x + 2[/tex]

Hope this helps! <3

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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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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