Mike has a right rectangular shipping carton with a volume of 31. 605 cubic meters. The height of the shipping carton is 2. 1 meters, and the width is 3. 5 meters. What is the length of Mike's shipping carton? Enter your answer as a decimal in the box

Answer:

It depends what the school looks like on the map. The school is a quadrilateral if it has 4 sides. The school is a parallelogram if it has at least 1 pair of parallel sides.

Answer:

yes 1/6 is a rational number.

Answer:

WHAT

Step-by-step explanation:

Answer: 7\(\sqrt{2}\)

Step-by-step explanation: Khan Academy

Answer:

1

Step-by-step explanation:

An equilateral triangle is a triangle with all three sides of equal length, so there's only one option, a triangle with all three sides 7 centimeters.

Answer: M (6,7)

Step-by-step explanation:

YES

Answer:

i dont know

Step-by-step explanation:

sorry

The roots of the given equation is real and equal.

Given , 5\(x^{2} \\\) - 10x+ k=0

The quadratic equation is b² - 4ac = 0

Here, a= 5, b= -10, c= k

substitute in b² - 4ac = 0

(-10)² - 4 * 5* k =0

100 - 20k =0 , let this be equation (1)

100 = 20k

k = \(\frac{100}{20}\)

k = 5.

now, substitute  k= 5 in equation (1)

100 -20k = 0

100 - 20*5 = 0

100 - 100 = 0

Therefore, the given equation is real and equal .

The correct question is 5x² - 10x + k =0

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Answer:

A x=1.5y i think

Step-by-step explanation:

The focus is on the concept of decomposing the rectangle and demonstrating the distributive property rather than the specific measurements of the rectangles.

To demonstrate the distributive property, you can decompose each rectangle into smaller rectangles in two or three different ways. Here are the steps to do so:

1. Start with a rectangle of any size. This will be the original rectangle that we will decompose.

2. Choose one side of the rectangle and mentally divide it into two segments. This represents the first factor in the distributive property.

3. Divide the rectangle into two smaller rectangles along the line you created in step 2. Each smaller rectangle represents one of the two terms in the distributive property.

4. Repeat steps 2 and 3, but this time divide the other side of the rectangle into two segments. Again, create two smaller rectangles representing the two terms in the distributive property.

5. You have now decomposed the original rectangle into two different sets of smaller rectangles, representing two different ways of applying the distributive property.

If you want to demonstrate the distributive property using three decompositions, you can follow a similar process but divide both sides of the rectangle into three segments instead of two. This will result in three different sets of smaller rectangles, showing three different ways of applying the distributive property.

By visually decomposing the rectangles in multiple ways, you can clearly see how the distributive property allows you to break down a larger rectangle into smaller parts, which can then be multiplied separately and added together.

It is important to note that the specific sizes and dimensions of the rectangles will vary based on the values chosen for the factors in the distributive property. The focus is on the concept of decomposing the rectangle and demonstrating the distributive property rather than the specific measurements of the rectangles.

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Answer:

its 18 and 20

Step-by-step explanation:

Answer:

18 & 20

Step-by-step explanation:

Forming the equation,

→ x + (x + 2) = 38

→ 2x + 2 = 38

Now the value of x will be,

→ 2x + 2 = 38

→ 2x = 38 - 2

→ x = 36/2

→ [ x = 18 ]

Then the required integers are,

→ x = 18

→ x + 2 = 18 + 2 = 20

Hence, the integers are 18, 20.

In rectangular backyard , 54 yards of fencing will michael need .

What is rectangle?

Dimensions = 22 * 16 yard

               fencing length = 22 + 2( 16 )

                                         = 22 + 32 = 54 yards

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Answer:

$4.16

Step-by-step explanation:

To find out how much 8 ounces of frozen yogurt costs if each ounce costs $0.52, we can use an equation that looks like this:

Therefore, for 8 ounces of yogurt is will cost $4.16.

The range and the vertex is   4 ≤ y < [infinity] and  (5, 4).

To find the vertex, we can take the derivative of the function and set it equal to 0:

y' = |x − 5|' = 0

=> x − 5 = 0

=>  x = 5

Then, we can plug x = 5 into the original equation to find the y-value at the vertex:  

y = |x − 5| = |5 − 5| = |0| = 0

So, the vertex of y = |x − 5| is (5, 4).

To find the range, we need to consider the range of the absolute value function. The range of the absolute value function is:

−[infinity] < y < [infinity]. So, the range of y = |x − 5| is also −[infinity] < y < [infinity] (or 4 ≤ y < [infinity]).

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The simplified complex expression of (10 - 6i)/(6 + 5i) is (30 + 14i)/61

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

(10 - 6i)/(6 + 5i)

Using the above as a guide, we have the following:

Start by rationalizing the expression

So, we have the following representation

(10 - 6i)/(6 + 5i) = (10 - 6i)/(6 + 5i) * (6 - 5i)/(6 - 5i)

Evaluate the products of the numerator

This gives

(10 - 6i)/(6 + 5i) = (60 -30 + 50i - 36i)/(6 + 5i) * 1/(6 - 5i)

Evaluate the products of the denominator

This gives

(10 - 6i)/(6 + 5i) = (60 -30 + 50i - 36i)/(30 +25)

Evaluate the like terms

(10 - 6i)/(6 + 5i) = (30 + 14i)/61

So, we have

(10 - 6i)/(6 + 5i) = (30 + 14i)/61

Hence, the solution is (30 + 14i)/61

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Triangle EFG was transformed to create triangle E'F'G' with identical side lengths and angle measures, and the second triangle is rotated to the right. the transformation is a c. rotation. Therefore, option c. rotation is correct.

Rotation is the change that took place. A figure is transformed by a rotation in which the centre of rotation is moved from one side to the other. Triangle EFG was in this instance rotated to the right, or around a point to the left of the triangle.

The two triangles are said to be congruent if their side lengths and angle measurements are the same. As a result, they are capable of being changed into one another by a series of translations, rotations, and reflections.

A transformation known as a translation involves moving a figure while maintaining its original size and shape. Stretching is a transformation that increases a figure's size while maintaining its shape. A transformation that flips a figure over a line is called a reflection.

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Answer: c. rotation is correct.

Step-by-step explanation:

Answer:

The scale factor is  

Is a reduction

Step-by-step explanation:

we know that

The scale factor is the ratio of the corresponding side of resulting triangle by the corresponding side of the first triangle

Let

z-----> the scale factor

x------> the corresponding side of resulting triangle

y------> the corresponding side of the first triangle

so

In this problem we have

substitute

The scale factor is less than one

therefore

Is a reduction

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

Top Left= 40yd²

Top Right= 441yd²

Bottom Left= 21ft²

Bottom Right= 105ft²

Step-by-step explanation:

Top left- 10×4= 40

Top right- 21×21= 441

Bottom right- 7×3= 21

Bottom left- 15×7=105

They found that those who had been treated with Procellera healed almost twice as fast is d. retrospective study.

A retrospective study is a type of research that looks back at past events or data to draw conclusions.

In this case, the researchers looked back at the records of 38 patients who had been treated for acute or chronic wounds between 2010 and 2012 to see if those who had been treated with Procellera healed faster than those who had not.

A randomized experiment would involve randomly assigning participants to different treatment groups and comparing the results. A matched experiment would involve matching participants based on certain characteristics and then comparing the results of different treatments.

A survey would involve asking participants questions about their experiences or opinions. A prospective study would involve following participants over a period of time and collecting data as events occur.

In this case, the researchers were looking back at past data, so the correct answer is a retrospective study.

Hence Option d is correct.

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The excel statement to estimate the test average of these 4 grades is -

An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.

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Answer:

Without additional information or a diagram, it is not possible to accurately determine the value of m/Y.

Consider a rectangular box with dimensions length (L), width (W), and height (H).The method of Lagrange multipliers can be used to find the maximum volume of a rectangular box with its diagonal length fixed at l.

Consider a rectangular box with dimensions length (L), width (W), and height (H). We want to maximize the volume of the box, V = LWH, subject to the constraint that the diagonal length is fixed at l.

To apply the method of Lagrange multipliers, we introduce a Lagrange multiplier λ and form the following function:

F(L, W, H, λ) = LWH + λ(D² - L² - W² - H²),

where D is the fixed diagonal length, and the term λ(D² - L² - W² - H²) is the constraint equation.

We then take partial derivatives of F with respect to L, W, H, and λ, and set them equal to zero to find critical points. Solving these equations, we obtain:

∂F/∂L = WH - 2λL = 0,

∂F/∂W = LH - 2λW = 0,

∂F/∂H = LW - 2λH = 0,

∂F/∂λ = D² - L² - W² - H² = 0.From equations (1)-(3), we find that WH = 2λL, LH = 2λW, and LW = 2λH. Dividing these equations, we get (WH)/(LW) = L/H, (LH)/(LW) = W/H, and (LW)/(LH) = W/L. Simplifying, we have L = W = H, which means the dimensions of the box are all equal.

Substituting L = W = H into equation (4), we have 3L² = D², or L = W = H = D/√3.

Therefore, the maximum volume of the rectangular box is                        (D/√3)³ = D³/√27.

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I'll answer problem 9 to get you started

===============================================

Explanation:

We will plug x = 7 into each equation or inequality given to us. Then we determine if we get a true statement or not.

----------------

Let's start with choice (1)

x + 3 > 6

7 + 3 > 6 .... x is replaced with 7

10 > 6

Since 10 is larger than 6, this makes the last inequality true. Therefore, the first inequality is true when x = 7. So we can rule out choice (1) since we are looking for a false statement.

----------------

Move onto choice (2)

3x-1 = 2x+3

3*7-1 = 2*7+3 ... replace every x with 7

21-1 = 14+3

20 = 17

This is false since we don't get the same number on each side. Therefore, choice (2) is the final answer.

----------------

Since we found the answer, we can stop here. But let's keep going to check the others.

choice (3)

2(x+1) = x+9

2*(7+1) = 7+9 ... plug in x = 7

2*(8) = 16

16 = 16

We get the same thing on both sides, so the equation is true. We can rule out choice (3).

-----------------

Now onto choice (4)

\(-2x + 10 \le 0\\\\-2*7 + 10 \le 0\\\\-14 + 10 \le 0\\\\-4 \le 0\\\\\)

This is true since -4 is to the left of 0 on the number line, which makes -4 smaller than 0. We can rule out choice (4).

The given identity sin(x+ y) - sin (x- y) = 2 cos x sin y  has been verified

The identity is

sin(x+ y) - sin (x- y) = 2 cos x sin y

Here we have to use the trigonometric function

Consider the right hand side of the equation

We know

sin (x+ y) = sin x cos y + cos x sin y

sin (x-y) = sin x cos y - cos x sin y

Then

sin(x+ y) - sin (x- y) = sin x cos y + cos x sin y - (sin x cos y - cos x sin y)

= sin x cos y + cos x sin y - sin x cos y + cos x sin y

Eliminate the terms

= cos x sin y + cos x sin y

= 2 cos x sin y

Hence, the given identity sin(x+ y) - sin (x- y) = 2 cos x sin y  has been verified

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The equation of the line in standard form that satisfies the provided conditions is 6x - y = -2.

To obtain the equation of a line in standard form that satisfies the provided conditions, we'll first convert the provided equations into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

1. We have the equation:

  6x - y = 5

  Subtract 6x from both sides:

  -y = -6x + 5

  Multiply through by -1 to isolate y:

  y = 6x - 5

  From this equation, we can see that the slope is 6.

2. We have the equation:

  4y - 9x = 8

  Add 9x to both sides:

  4y = 9x + 8

  Divide through by 4 to isolate y:

  y = (9/4)x + 2

  From this equation, we can see that the y-intercept is 2.

Now, we have the slope (m = 6) and the y-intercept (b = 2).

We can substitute these values into the standard form equation of a line, which is Ax + By = C, to obtain the equation in standard form.

Using the slope-intercept form equation (y = mx + b), we can rewrite it as -mx + y = b.

Rearranging, we get mx - y = -b.

Substituting the provided values:

6x - y = -(2)

Multiplying through by -1 to make the leading coefficient positive, we have:

-6x + y = 2

Now, rearranging the terms to obtain the standard form Ax + By = C, we get:

6x - y = -2

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Answer:

64

hope it helps

Answer:  1.95

Step-by-step explanation:

Luis is Harry's height minus 0.25m, which means Harry is Luis' height plus 0.25m.

Luis + 0.25 = Harry

1.7 + 0.25 = 1.95 m

Base 2 representation, a normal number is one in which the most significant bit of the significand is zero is True.

In binary representation, a normal number is one in which the most significant bit of the significant is \(1,\)followed by a sequence of other bits that represent the fractional part of the number. However, since the most significant bit of the significant is always \(1\) in normalized binary floating-point numbers, the leading bit is often implied and not explicitly stored in memory. Therefore, a normal number can be represented by a binary sequence that starts with \(1\) followed by some fractional bits

A Binary Number System is the simplest form of number system that uses only two digits that is \(0\)(zero) and\(1\)(one). It is also called as base 2 numeral system. This number is mostly used in computer architecture and electronic devices. Examples of Binary Number System: \(01, 101, 1110, 10011, 1011101\), and so on..

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Answer:

a = 26.241

b = 47.448

Step-by-step explanation: