write the recurring decimal 51.674 as a recurring decimal using dot nation

Dan's average speed score for the season is -1.

What is the arithmetic operations?

Arithmetic operations are mathematical operations that involve manipulating numbers to perform calculations. The four basic arithmetic operations are addition, subtraction, multiplication, and division.

To find Dan's average speed score for the season, we need to add up all his scores and divide by the total number of scores. We can do this as follows:

-1 + (-3) + 1 + (-1) + (-2) + 0 = -6

Dan's total score for the season is -6. To find his average score, we need to divide this total by the number of scores, which is 6 in this case:

-6 / 6 = -1

Hence, Dan's average speed score for the season is -1.

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Answer:

120 because 20 x 6 = 120 when u take of sunday it will be 6 days

Step-by-step explanation:

Answer:

area = 16

Step by step

Answer:

A. 62 units

Step-by-step explanation:

To find the perimeter of the rectangle, you have to use the Pythagorean theorem.

a^2 + b^2 = c^2 - Formula

24^2 + b^2 = 25^2 - Plug in values

576 + b^2 = 625 - Simplify

b^2 = 49 - Isolate the variable

b = 7 - Solve

After finding the height, find the perimeter.

P = 2b + 2h

P = 2(24) + 2(7)

P = 48 + 14

P = 62 units

222 people were influenced by brand.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To determine how many people were influenced by brand, we need to add up the number of people who said "brand" as one of their influencing factors. However, we need to be careful not to double-count those who selected multiple factors.

Let's start by creating a diagram of the data:

         | Color | Size | Brand | Total

Only      |   5   |  8   |   16  |   29

Color/Size|  20   |  0   |   42  |   62

Size/Brand|   0   |  53  |   42  |   95

All Three |   0   |  0   |  102  |  102

None      |  20   |  20  |   20  |   60

Total     |  45   |  81  |  222  |  348

From this table, we can see that 222 people said that brand influenced their choice of cell phone.

Therefore, 222 people were influenced by brand.

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The positive solution is t = 8.

A quadratic equation is a polynomial which has variables in which one has the highest power of 2.

Considering the question, let the unknown number be represented by t. So that;

16 is subtracted from the square of a number = t^2 - 16;

the result is 6 times the number = 6t

So that;

t^2 - 16 = 6t

t^2 - 6t - 16 = 0

t^2 + 2t - 8t - 16 = 0

(t^2 + 2t)(-8t - 16) = 0

t(t + 2)-8(t + 2)

So that

(t + 2)(t - 8) =0

t + 2 = 0 or t - 8 = 0

t = -2 or t = 8

Thus the positive solution is t = 8.

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The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

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Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

The number of touchdowns scored by this professional football team could be: C. 10.

In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

In order to determine the number of points scored by the defense of this professional football team, we would use the following mathematical expression:

Number of points = 24/100 × 242

Number of points = 0.24 × 242

Number of points = 58.08

For the number of touchdowns, we have:

Number of touchdowns = 58.08/6

Number of touchdowns = 9.68 touchdowns.

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Answer:

The decoded message is: "Steve Jobs".

Step-by-step explanation:

The given code is a sequence of binary digits, which represents the ASCII code of a message in binary form. To decode the message, we need to convert each 8-bit binary sequence into its corresponding ASCII character.

1010011 1110100 1100101 1110110 1100101 0100000 1001010 1101111 1100010 1110011

To decode this message, we split it into 8-bit sequences:

01010011 --> 'S'

01110100 --> 't'

01100101 --> 'e'

01110110 --> 'v'

01100101 --> 'e'

00100000 --> ' '

01001010 --> 'J'

01101111 --> 'o'

01100010 --> 'b'

01110011 --> 's'

Therefore, the decoded message is: "Steve Jobs".

Answer:

The decoded message is: "Steve Jobs"

Step-by-step explanation:

Converting the binary code to ASCII, we get:

01010011 = S

1110100 = t

1100101 = e

1110110 = v

1100101 = e

0100000 = (space)

1001010 = J

1101111 = o

1100010 = b

1110011 = s

So the decoded message is: "Steve Jobs"

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

Here are the steps to decode the given binary code:

Break the binary code into groups of 8 digits, as each group represents a single ASCII character.

Convert each group of 8 digits into its corresponding ASCII character using a binary-to-text converter or an ASCII code chart.

Write down the decoded ASCII characters in the order in which they appear in the original binary code.

Let's follow these steps to decode the given binary code:

The given binary code is: 1010011 1110100 1100101 1110110 1100101 0100000 1001010 1101111 1100010 1110011

We break this binary code into groups of 8 digits:

1010011 = 53

1110100 = 74

1100101 = 65

1110110 = 76

1100101 = 65

0100000 = 32

1001010 = 74

1101111 = 111

1100010 = 98

1110011 = 115

We convert each group of 8 digits into its corresponding ASCII character using an ASCII code chart:

53 = S

74 = t

65 = e

76 = v

65 = e

32 = (space)

74 = J

111 = o

98 = b

115 = s

We write down the decoded ASCII characters in the order in which they appear in the original binary code:

Decoded message: "Steve Jobs"

ASCII mean?

ASCII stands for American Standard Code for Information Interchange. It is a character encoding standard that assigns unique numeric codes to represent text characters. The ASCII standard includes codes for uppercase and lowercase letters, digits, punctuation marks, and various other symbols. Each ASCII character is represented by a unique 7-bit binary code, allowing computers and other devices to communicate and display text in a consistent manner. The ASCII standard was first published in 1963 and has since been expanded and updated to include additional characters and support for different languages.

Answer:??? Bio?

Step-by-step explanation:give a good expample

Answer:

No, rhombuses are not necessarily rectangles. While both shapes are quadrilaterals with opposite sides parallel, there is an additional requirement for a rectangle that is not present in a rhombus. Specifically, a rectangle must have all interior angles measuring 90 degrees, while a rhombus can have any angle between 0 and 180 degrees.

On the other hand, all rectangles are parallelograms, while not all parallelograms are rectangles. Similarly, all squares are both rhombuses and rectangles, but not all rhombuses or rectangles are squares. In summary, a rhombus is a quadrilateral with four equal sides, while a rectangle is a quadrilateral with four right angles. While there is some overlap between the definitions, they are not equivalent.

Answer:

Rhombuses are not rectangles

Step-by-step explanation:

This is because rhombuses do not have 4 right angles.

A square would be a rectangle because its a quadrilateral with 4 right angles

while a rectangle wouldn't be a square because it doesn't have 4 equal sides

A rhombus is a quadrilateral that has 4 equal sides but doesn't have 4 right angles, making it not a rectangle

The values in the table using the expression (time=2 × no. of pages) will be 0.5, 5 and 8.5.

In mathematics, an expression is a combination of numbers, variables, and operations that can be evaluated to produce a value.

Expressions can be simple or complex, and can involve arithmetic, algebraic, or logical operations. Some examples of expressions include:

In each of these examples, the expression consists of one or more terms that are combined using operations such as addition, subtraction, multiplication, division, or exponentiation.

Now,

As given pages = 8 and time= 16 minutes

this can be deduced by expression Time=2 × no. of pages

Then for time= 1,10 and 17 minutes

no. of pages will be 1/2,10/2 and 17/2.

Hence, the table will be:

Pages           8       0.5         5        8.5

Minutes      16        1           10       17

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Answer:

look in the comments give me a minute please and thank you

Answer:

12:8

Step-by-step explanation:

3:2

12:x

12÷3=4

2×4=8

12:8

The remaining feet long is A. 3 7/12 feet long

How to determine this

Kelsey has a board of 6 1/3 feet long

When he uses 2.75 feet

To calculate the remaining feet

= 6 1/3 - 2.75 feet long

By converting 2.75 to fraction

2.75 = 2 3/4

= 11/4

6 1/3 = 19/3

So, 19/3 - 11/4

= 43/12

= 3 7/12

Therefore, the remaining piece is 3 7/12 feet long

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it will take approximately 1.30 loads of trash from the garbage truck to fill the 40-foot by 9-foot by an 8-foot storage container. However, since you can't have a partial load, you would need to round up to 2 loads to completely fill the container.

what is an algebraic expression?

An algebraic expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that can be simplified and evaluated.

To determine the number of loads of trash from the garbage truck that will fill a 40-foot by 9-foot by 8-foot storage container, we need to compare the volume of the container to the volume of the garbage truck's back.

The volume of the garbage truck's back is:

V_garbage_truck = length x width x height

V_garbage_truck = 23 ft x 8 ft x 12 ft

V_garbage_truck = 2,208 cubic feet

The volume of the storage container is:

V_container = length x width x height

V_container = 40 ft x 9 ft x 8 ft

V_container = 2,880 cubic feet

To find out how many loads of trash from the garbage truck will fill the storage container, we need to divide the volume of the container by the volume of the garbage truck's back:

Number of loads = V_container / V_garbage_truck

Number of loads = 2,880 cubic feet / 2,208 cubic feet

Number of loads ≈ 1.30 loads

Therefore, it will take approximately 1.30 loads of trash from the garbage truck to fill the 40-foot by 9-foot by an 8-foot storage container. However, since you can't have a partial load, you would need to round up to 2 loads to completely fill the container.

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The volume of the top part of the pyramid is 13.4% of the total volume.

The amount of mass that a material has in relation to its volume is measured by its density. By dividing the substance's mass by volume, it is determined. Density is calculated as follows: density = mass/volume

A fundamental idea in physics, density is utilised in many branches of research and engineering, including the construction of effective engines and turbines, calculating the buoyancy of objects in fluids, and forecasting the behaviour of materials under stress.

Given that, average density of the entire pyramid is 4.7g/cm3 and that the bottom part has a mass of 972.8g.

The density is given as:

density = mass/volume

Substituting the value we have:

4.7g/cm3 = 972.8g/volume

volume = 207.23 cubic cm.

For the top part, density of 2.9g/cm3 and a mass of 92.8g. :

density = mass/volume

2.9g/cm3 = 92.8g/volume

volume = 32 cubic cm.

The percent of the top part with respect to total volume is:

percentage = (volume of top part / total volume) x 100

total volume = volume of top part + volume of bottom part

total volume = 32 cm3 + 207.23 cm3

total volume = 239.23 cm3

percentage = (32 cm3 / 239.23 cm3) x 100

percentage = 13.4%

Therefore, the volume of the top part of the pyramid is 13.4% of the total volume.

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The probability of exactly 5 out of the next 10 children getting Huntington's disease is 0.2461, and the probability of exactly 7 getting the disease is 0.1172.

What is the probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

This problem can be solved using the probability , where we have a fixed number of trials (10 children) and a fixed probability of success (one-in-two chance of getting the disease).

The probability of getting exactly k successes in n trials, each with probability p of success, is given by the binomial probability formula:

P(k) = (n choose k) * [tex]p^k * (1-p)^{(n-k)[/tex]

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items out of a set of n.

For this problem, we have n = 10, p = 1/2 (since the children have a one-in-two chance of getting the disease), and we want to find P(5) and P(7).

P(5) = (10 choose 5) * ([tex]1/2)^5 * (1/2)^{(10-5)} = 0.2461[/tex] (rounded to four decimal places)

P(7) = (10 choose 7) * [tex](1/2)^7 * (1/2)^{(10-7)} = 0.1172[/tex] (rounded to four decimal places)

Hence, The probability of exactly 5 out of the next 10 children getting Huntington's disease is 0.2461, and the probability of exactly 7 getting the disease is 0.1172.

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Answer:

n = -24/7

Step-by-step explanation:

3 -7n = 27

-7n = 24         Subtract 3 from both sides

n = -24/7        Divided by -7 both sides

So, the answer is n = -24/7

Answer:

Below

Step-by-step explanation:

Subtract 3 from both sides of the equation THEN divide both sides of the equation by  - 7

Answer: variable Y, coefficient 11, Constant 4.5

Step-by-step explanation:

variable: Y

coefficient: 11

Constant: 4.5

The symmetry of the functions are

In mathematics, the symmetry of a function refers to the property that the function remains unchanged under a certain transformation

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

Graph 1

Under any transformation, the function would not remain the same when transformed

Graph 2

This function is a circle equation and it would remain the same when reflected or rotated across the axes and the origin

Graph 3

This function would only remain the same when reflected across the x-axis

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Answer:

x = ± √((y + 2)/4)

Step-by-step explanation:

To find the inverse of a function, we need to solve for x in terms of y.

Steps to find the inverse of y = 4x^2 - 2:

Replace y with x and x with y:

x = 4y^2 - 2

Solve for y:

x + 2 = 4y^2

(x + 2)/4 = y^2

± √((x + 2)/4) = y

Note that we have a ± sign because the square root of a positive number can have two values, one positive and one negative.

Therefore, the inverse of y = 4x^2 - 2 is:

x = ± √((y + 2)/4)

Answer:

y=±([tex]\sqrt{x+2}/2[/tex])

Step-by-step explanation:

48

The line of best fit has the following equation

y = 3.2x + 25

Since the x-values are 20 and 35, we must enter these values into the equation and subtract them to determine the difference in the y-values:

y(20) - y(35) = (3.220 + 25) - (3.235 + 25)

y(20) - y(35) = (64 + 25) - (112 + 25)

y(20) - y(35) = 89 - 137

y(20) - y(35) = -48

For x-values of 20 and 35, 48 is the most logical prediction for the difference in y-values.

Thus, Option (A) 48 is the correct answer.

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Answer:

-5x^2-20x

Step-by-step explanation:

The measure of side AC of the right triangle is 7.2 units.

The figure in the image is the of a right triangle.

To solve for the measure of side AC, we use trigonometric ratio.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Tangent = Opposite / Adjacent

tan( A ) = BC / AC

Plug in the values and solve for side AC.

tan( 51° ) = 8.9 / AC

AC = 8.9 / tan( 51° )

AC = 8.9 / 1.234897

AC = 7.2

Therefore, side AC has a value of 7.2 units.

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The equivalent expression value when {a} = 2, {b} = -3, {c} = -1 is 19.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the algebraic expression as -

ab² - c³

For {a} = 2, {b} = -3, {c} = -1, we can evaluate the algebraic expression as -

ab² - c³

2(-3)² - (- 1)³

2 x 9 - (- 1)

18 + 1

19

Therefore, the equivalent expression value when {a} = 2, {b} = -3, {c} = -1 is 19.

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{Question in english -

Find the value of the expression if a =2, b= -3 and c=-1 ; ab2 -c3}

Answer:

The area of the garden is 78.5 square feet.

Step-by-step explanation:

Answer:

10000 meters

Step-by-step explanation:

1 kilometer=1000 meters

therefore 10 kilometers = 10×1000 = 10000meters

Answer:

74

Step-by-step explanation:

-6 (-5 - 4) - 4(-3 - 2)

30 + 24 + 12 + 8 = 74