Draw ∆-fractal matrices of sizes 2 × 2, 4 × 4, 8 × 8 and 16 × 16, and only mark the cells that are not guaranteed to be zeros leaving all other cells empty. Do the same for ∇-fractal matrices. (B) If X is an n × n ∆-fractal matrix and Y is an n × n standard matrix, what is the running time of the standard recursive algorithm for computing XY ?

Answer:

0.287671233 or 42/146

Step-by-step explanation:

It's not a clear photo, but I tried my best. Probablilty is just what they're looking for over the total amount.

So the amount of people traveling over 4km is 42 based on the graph.

And the total number of people is 146.

(I don't know if the last bar in the graph represents 10 or 20 people)

So 42/146 = 0.287671233

Forgive me if I'm wrong, but I couldn't see the image clearly.

Good luck!

Answer: 2 hours and 35 minutes. Aka 2:35

Step-by-step explanation: to find when it starts and ends, subtract 6:35pm by 9:10pm

So 9-6 is 3 and there is a problem when you do 10-35. 35 is bigger which means you have to take away an hour so the 3 becomes a 2 and then you add 60 onto the 10 even though the limit is 60 minutes because it equals an hour. So you now have 2 hours and 70 minutes - 35. Well that is 35 because 35+35 = 70 meaning the movie is 2 hours, 35minutes

The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :

z ≈ 244 + 20(x - 8) + 128(y - 2).

When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.

1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:

∂z/∂x = 2x + 4y

∂z/∂y = 4x + 6xy

At the point (x₀, y₀) = (8, 2), we substitute these values:

∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24

∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128

The linearized equation is given by:

z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)

Substituting the values, we get:

z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)

1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:

z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)

= z₀

Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.

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The wooden made triangle is that it is a Isosceles Right Angled Triangle

Triangle: A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

it is given that a piece of wood is cut into a triangle with sides that measure 17 cm , 17cm and 24cm the angles of the triangle measure 45 degrees, 45 degrees, and 90 degrees.

sides of the triangles=17 cm , 17cm and 24cm

two sides are equal so we can say it is an isosceles triangle

because isosceles triangle has two equal measured sides

if we get into the angles of that triangle they are 45 degrees, 45 degrees, and 90 degrees.

triangle with 90 degrees angle is called as right angled triangle

so we can finally conclude about the wooden made triangle is that it is a Isosceles Right Angled Triangle

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The triangle is made of wood and is an isosceles right triangle.

What does Triangle mean?

A triangle is a polygon that has three vertices and three edges. It is one of the fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Given that a piece of wood is carved into a triangle with sides that measure 17, 17, and 24, and angles that measure 45, 45, and 90 degrees, the triangle's dimensions are as follows.

triangles have sides of 17, 17, and 24 cm.

It is an isosceles triangle since its two sides are equal.

since an isosceles triangle has two sides with equal lengths

When it comes to that triangle's angles, they are 45, 45, and 90 degrees.

Right-angled triangles are triangles with an angle of 90 degrees.

Finally, we may say that the triangle is an isosceles right triangle because it is composed of wood.

|| ▼ Answer ▼ ||

The average rate of change per year from 1 to 5 is 8inches

Step-by-step explanation:

Given

\(h=t^{2}+2t+10\)

The average rate of change = \(\frac{h(5)-h(1)}{5-1}\)

Now h(5)

\(\boxed{h(5)=-5^{2}+2(5)+10 }\)

\(\boxed{h(5)=25+10+10}\)

\(\boxed{h(5)=45}\)

Now, h(1)

\(\boxed{h(1)=-1^{2}+2(1)+10}\)

\(\boxed{h(1)=1+2+10}\)

\(\boxed{h(1)=13}\)

\(\boxed{Average~change~rate=\frac{h(5)-h(1)}{5-1} }\)

\(\boxed{Average~change~rate=\frac{45-13}{5-1}=\frac{32}{4}=8 }\)

The final answer

The average rate of change per year from 1 to 5 is 8 inches

Hope this helps!

If you have any questions please ask.

Answer:

6

Step-by-step explanation:

Since S is the midpoint, the length of the two shorter sides are identical.

2(x + 5) = 7x + 5  Distribute the 2

2x + 10 = 7x + 5  Subtract 2x from both sides

10 = 5x + 5  Subtract 5 from both sides.

5 = 5x  Divide both sides by 5

x = 1

ST = x + 5

ST = 1 + 5

ST = 6

By assembled a direct proof that the product of two odd numbers is odd is proved.

To begin the proof, we start with the assumption that the product of two odd numbers is odd (block 1). We then use the distributive property to expand the product of two odd numbers (block 2), where n and m are odd numbers.

Next, we assume that nm is odd (block 3) and multiply the equations obtained from block 2 to get nm=(2k+1)(2q+1) (block 4), where k and q are integers.

From the definition of an odd integer, we know that any integer of the form 2n+1 is odd. Using this definition, we can conclude that nm is odd because it is expressed as the product of two odd numbers (block 5).

Thus, we can write n as 2k+1 and m as 2q+1 (block 7).

Finally, we substitute these expressions for n and m into the equation obtained from block 2 (nm=2k+1)(2q+1)) and simplify to get nm=4kq+2k+2q+1 (block 8).

We can then factor out a 2 from the first two terms to obtain nm=2(2kq+k+q)+1.

Since 2kq+k+q is an integer, we can see that nm is expressed in the form of an odd integer, which confirms that the product of two odd numbers is indeed odd.

Therefore, we have successfully proved the statement using the given building blocks.

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Answer:

t is less than 5

Step-by-step explanation:

Step-by-step explanation:

8-3 = 5,

3-5 = -2 = the x coordinate of B

-2-4 =-6,

-2-6 =-8 = the y coordinate of B

(-2,-8) is the point B

A is 5 to the right of the midpoint, so B is 5 to the left of the midpoint

A is 6 up from the midpoint so B is 6 down from the midpoint

Answer:

nc

Step-by-step explanation:

nc

In the word problem ,  there are 84 winning lines of 6 in a row.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

Here on each face of a cube, there would be 6 vertical rows , 6 horizontal rows  and 2 diagonal rows.

That is total of 14 rows per face.

A cube has 6 faces. Then

=> 6*14 = 84 lines.

Hence there are 84 winning lines of 6 in a row.

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Answer:

Rotate 180° about the origin, translate 2 units to the right

Answer:

IT'S D

Step-by-step explanation:

LOOK AT THE PATTERN AND YOU WILL UNDERSTAND.

Answer:

ii honestly think d

Step-by-step explanation:

This bond has a Current yield of 6.9 percent, a volume of 18, and a net change of negative one-eighth. The correct answer is (a)  101Three-fourths; $101,750.

The bond listing provided is a typical example of how Corporate bonds are displayed. The table consists of 5 columns with 1 row, where each column provides specific information about the bond.

The first column displays the name of the bond, which in this case is NYTel 7 and one-fourth 33, indicating that it is a bond issued by New York Telephone.

The second column shows the current yield of the bond, which is 6.9 percent.

The third column displays the volume of the bond, which is 18.

The fourth column provides the closing price of the bond, which is 101 and three-fourths.

Finally, the fifth column shows the net change of the bond, which is negative one-eighth.

To answer the question, we need to determine the closing price and dollar amount of the bond. According to the bond listing, the closing price of the bond is 101 and three-fourths. To calculate the dollar amount, we need to multiply the closing price by the face value of the bond. Assuming that the face value of the bond is $1,000, the dollar amount of the bond would be $101,750 (101.75 x 1000).

Therefore, the correct answer is (a) 101Three-fourths; $101,750. This bond has a current yield of 6.9 percent, a volume of 18, and a net change of negative one-eighth. Understanding how to read and interpret bond listings is crucial for investors who want to make informed investment decisions.

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Answer:

\(→ \frac{8 {a}^{( - 5) } {b}^{(4)} }{12 {a}^{( - 6)} {b}^{( - 2)} } = \frac{2 {a}^{(6 - 5)}{b}^{(4 + 2)} }{3} = \boxed{ \frac{2}{3}a {b}^{6} }✓ \\ \)

Answer:

She ran 7.5 laps

Step-by-step explanation:

Given that:

Total Distance Covered = d = 3 and 3/4 miles

that is: \(3\frac{3}{4} = \frac{15}{4}\ miles\)

Distance per mile = l = 1/2 miles

In order to find the number of laps, we have to simply divide the total distance covered by number of miles in one lap.

Let n be the number of laps then

\(Number\ of\ laps = \frac{Total\ distance}{Distance\ of\ one\ mile}\\n = \frac{d}{l}\\n = \frac{\frac{15}{4}}{\frac{1}{2}}\\Using\ \frac{\frac{a}{b}}{\frac{c}{d}} => \frac{a}{b} * \frac{d}{c}\\n = \frac{15}{4} * \frac{2}{1}\\n = \frac{30}{4}\\n = 7.5\ laps\)

Hence,

She ran 7.5 laps

Answer:

The answer is 4

Step-by-step explanation:

Remove the parentheses

55d + 35 + 15d = 315

Collect the like terms

70d + 35 = 315

Move the constant to the right

70d = 315 - 35

Subtract the numbers

70d = 280

d = 4

Answer:

12x + 7y

Step-by-step explanation:

First, we need to set up an expression. Since it says "sum" we will be using addition

(4x + 9y) & (8x – 2y)

              \/

(4x + 9y) + (8x – 2y)

Next, we can drop the () as there is nothing to distribute

4x + 9y + 8x – 2y

Last, combine the like terms for "simplest terms"

4x + 9y + 8x – 2y

              \/

         12x + 7y

- There is a 4x and a 8x, this becomes 12x

- There is a 9y and a -2y, this becomes 7y

Hope this helps, have a wonderful day!

The answer are (a)  the percent change in the population of the type of plant that is changing by a constant percent rate each year is -12.5% for the buttercups population. (b) the initial amount of money that Bree put in the savings account was $650.

A savings account is a type of bank account where individuals can deposit their money and earn interest on the balance. It is typically offered by banks and other financial institutions as a safe place to store money while earning a small amount of interest. Savings accounts are often used by individuals to save for short-term financial goals or to build an emergency fund.

(a)To determine the percent change in population for each type of plant, we can calculate the percent change from year to year using the following formula:

percent change = (new value - old value) / old value * 100

We can then look for the type of plant with a constant percent change each year.

Starting with the thistles population:

From year 1 to year 2, the percent change is: (317-271)/271*100 = 17%

From year 2 to year 3, the percent change is: (323-317)/317*100 = 1.89%

From year 3 to year 4, the percent change is: (348-323)/323*100 = 7.75%

Therefore, the thistles population is not changing by a constant percent rate each year.

Moving on to the buttercups population:

From year 1 to year 2, the percent change is: (448-512)/512*100 = -12.5%

From year 2 to year 3, the percent change is: (392-448)/448*100 = -12.5%

From year 3 to year 4, the percent change is: (343-392)/392*100 = -12.5%

Therefore, the buttercups population is changing by a constant percent rate of -12.5% each year.

Finally, looking at the blueberries population:

From year 1 to year 2, the percent change is: (309-326)/326*100 = -5.21%

From year 2 to year 3, the percent change is: (292-309)/309*100 = -5.50%

From year 3 to year 4, the percent change is: (299-292)/292*100 = 2.40%

Therefore, the blueberries population is not changing by a constant percent rate each year.

Thus, the percent change in the population of the type of plant that is changing by a constant percent rate each year is -12.5% for the buttercups population.

(b) To find the initial amount of money that Bree put in the savings account, we need to look for the value in the table that represents the amount of money after 0 years. From the table, we see that the amount of money in the savings account after 0 years is $650. Therefore, the initial amount of money that Bree put in the savings account was $650.

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The operationalization of the used constructs of the model is not typically considered a part of the theoretical aspects of a model. The correct option is (B).

Operationalization refers to the process of defining and measuring the variables or constructs in a study. It involves turning abstract concepts into observable and measurable variables.

On the other hand, the theoretical parts of a model typically include:

A. The hypotheses corresponding to the model: This refers to the specific statements or predictions derived from the theoretical framework of the model.

Hypotheses provide testable expectations about the relationships between variables in the model.

C. A logical explanation of the relationship within a model: This involves providing a theoretical rationale or logical explanation for the expected relationships between variables in the model.

It is the theoretical framework that underlies the model and helps in understanding the underlying mechanisms or processes.

D. A graphical representation of the model: Graphical representation, such as diagrams or visual models, can be used to depict the structure or relationships within a model. It helps in visualizing the connections between variables and understanding the overall framework.

Therefore, B. The operationalization of the used constructs of the model does not belong to the theoretical parts of a model.

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Answer:

first one =

\( {10}^{7} \)

second one =

\( {10}^{5} \)

Step-by-step explanation:

\( {10}^{2} \times {10}^{6} \times 10\)

\( {10}^{2 + 5} \)

\( {10}^{7} \)

\( {10}^{2 + 3} \)

\( {10}^{5} \)

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A moderately intense, wide peak in the 3200-3400 cm⁻¹ region is indicative of the presence of hydroxyl (-OH) functional groups.

Identification of Hydroxyl Functional Groups Using Infrared Spectroscopy

One specific region of the infrared spectrum that can provide valuable information is the 3200-3400 cm⁻¹ region. If an unknown compound displays a moderately intense, wide peak in this region, it is highly likely that it contains a hydroxyl (-OH) functional group.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.

The presence of hydroxyl groups can be further confirmed by looking for other characteristic peaks in the IR spectrum, such as a broad peak in the 1600-1700 cm⁻¹ region for the bending vibrations of the -OH bond. Overall, infrared spectroscopy can be an effective method for identifying hydroxyl functional groups in unknown compounds.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.  This is because the stretching vibration of the -OH bond falls in the range of 3200-3400 cm⁻¹ and the hydroxyl group is characterized by a broad, intense peak due to the high density of vibrational modes.

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Answer:

1/9 (2m - 16) = 1/3 (2m + 4)

expand

2/9m- 16/9 =2/3m +4/3

move m to other side

- 16/9 =2/3m (-2/9m) +4/3

simplify

- 16/9 =(6-2)/9m +4/3

- 16/9 =4/9m +4/3

move 4/3 to other side

- 16/9 -4/3 =4/9m

- 16/9 -12/9 =4/9m

-28/9 = 4/9m

multiply by 9

4m= -28

m= -7

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

x = 23 degress

Step-by-step explanation:

(x + 2) + 65 = 90

x + 2 = 25

x = 23 degress

Answer:

63 is this right?

Step-by-step explanation:

10 x 9 = 90

so 7 x 9 = 63

Answer:

60 minutes make an hour

Step-by-step explanation:

Because 1 hour = 60 minutes