What is the difference between the values of |–10| and |9| ?

The values of a, b and c when comparing ⁷√(6³) with  [tex]a^\frac{b}{c}[/tex]  are 6, 21 and 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

⁷√(6³)

Applying the law of exponents gives:

= √[(6³)⁷]

= √[6²¹]

[tex]=6^\frac{21}{2}[/tex]

Given the form [tex]a^\frac{b}{c}[/tex], the values of a, b and c are 6, 21 and 2

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All the answers to the given questions are mentioned below -

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given are six graphs as shown in the image.

The equation of graph [1] -

m = (- 2 - 4)/(2 - 0)

m = -6/2

m = -3

Equation : y = -3x + 4

The equation of graph [2] -

m = (0 + 1)/(2.5 - 0)

m = 1/2.5

m = 10/25

m = 2/5

Equation : y = 2x/5 - 1

The equation of graph [3] -

Equation : y = 4

The equation of graph [4] -

Equation : x = 2

[1] : 2x - y = - 7

y = 2x + 7

[2] : 5x + 3y = 12

3y = -5x + 12

y = -5x/2 + 4

[3] : x - y = 1

y = x - 1

[4] : x - 3y = - 15

3y = x + 15

y = x/3 + 5

[5] : 8x - 10y = 20

8x - 20 = 10y

y = 4x/5 - 2

[6] : 14x + 6y = 36

6y = -14x + 36

y = -7x/3 + 6

Therefore, all the answers to the given questions are mentioned above.

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[REFER TO IMAGE FOR QUESTION]

a. The terms are

b. The domain of the function is given as 1 ≤ x ≤ 4. The graph is a discrete graph

The term in the linear function m = 200 − 50v interpreted as

200 = money set aside for buying video games

50 = cost per video game

v = number pf video games

m = total amount spent on video games

The number refers to all the possible input values, this value as regard this context is when the money left for video game is finished.

the input value is v, the domain is solved as follows

200 - 50v = 0

50v = 200

v = 200/50

v = 4

The maximum number is 4 while the minimum is just above 0 or from 1 hence the domain is

1 ≤ x ≤ 4

the graph is attached

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Answer:

x = 15

Step-by-step explanation:

8x + 9 and 51 are same- side interior angles and sum to 180° , then

8x + 9 + 51 = 180

8x + 60 = 180 ( subtract 60 from both sides )

8x = 120 ( divide both sides by 8 )

x = 15

yeah bc the answer is 4 yrs

Answer:

3.5 years

Step-by-step explanation:

The value of line JK in the triangle is 25.2

Trigonometry is the branch concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec).

In the right-angled triangle JLM, LM is the hypotenuse, JM is the adjacent and JL is the opposite to angle M

therefore JM = √(LM)^2- (JL)^2

JM = √87^2- 60^2

JM = √3968

JM = 63

sinM= LJ/LM

sinM= 60/87

sinM=0.69

M=sin^-0.69

M= 43.6

angle M is bisected into two

M/2= 43.6/2= 21.8

in Triangle JLM

sin21.8= JK/63

Jk= sin21.8×63

JK= 25.2

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The correct option regarding the correlation coefficient is that A. I can’t be confident at all; this is about as close to a random guess as you can get.

The correlation coefficient is a statistical measure of the strength of a two-variable linear relationship. Its values can range between -1 and 1. A correlation coefficient of -1 denotes a perfect negative, or inverse, correlation, in which values in one series rise while those in the other fall, and vice versa.

A coefficient of one indicates that there is a perfect positive correlation, or a direct relationship. A correlation coefficient of 0 indicates that no linear relationship exists. In science and finance, correlation coefficients are used to assess the degree of association between two variables, factors, or data sets.

In this case, the fat that the person gets 0 implies that it's probably a random guess. In conclusion, the correct option is A.

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There is 19958400 Number of permutations can be made using all letters.

What is permutation?

The term "permutation" describes a mathematical calculation that counts all possible arrangements of a given set. The term "permutation" simply refers to the variety of possible arrangements or orders. The arrangement's order matters in permutations.

Given Word is TRANSFORMED.

Total Number of letters = 11

Number of times Letter T repeating = 1

Number of times Letter R repeating = 2

Number of times Letter A repeating = 1

Number of times Letter N repeating = 1

Number of times Letter S repeating = 1

Number of times Letter F repeating = 1

Number of times Letter O repeating = 1

Number of times Letter R repeating = 1

Number of times Letter M repeating = 1

Number of times Letter E repeating = 1

Number of times Letter D repeating = 1

Number of permutations that can be made using all letters

= 11!/(1! * 2! * 1! * 1! * 1! * 1! * 1! * 1!) = 39916800/(2*2*2) = 39916800/2 =

19958400

Thus, there is 19958400 Number of permutations can be made using all letters.

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The table is completed as follows using the double-declining-balance method of depreciation:

Year Cost   Accumulated  Book Value  Depreciation Accumulated  Book

                   Depreciation        B.O.Y         Expense     Depreciation  Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000          $0           $30,000         $12,000         $12,000  $18,000

2   $30,000    $12,000          $18,000         $7,200           $19,200  $10,800

3   $30,000   $19,200          $10,800           $4,320          $23,520   $6,480

The double-declining-balance approach is what?

The double-declining-balance method is one of the depreciation techniques in use, however it adds additional costs in the first years of an asset's life.

In this depreciation method, the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2, is twice.

At the conclusion of each year, the leftover balance for the depreciation charge is adjusted using the double rate.

The difference between the closing balance from the previous year and the residual value is used to determine the depreciation charge for the most recent year.

Auto  = $30,000

Estimated useful life = 5 years

Residual = $800

Depreciable amount = $30,000 - $800 = 29,200

Straight-line depreciation rate = 100/5 = 20%

Double-declining depreciation rate =20% x 2 = 40%

Depreciation Expense:

1st year = 30,000 x 40/100 = 12,000

2nd year = 18,000 x 40/100 = 7,200

3rd year = 10,800 x 40/100 = 4,320

4th year = 6,480 x 40/100 = 2,592

5th year = 3,888 x 40/100 = 1,555

Year Cost   Accumulated  Book Value  Depreciation Accumulated Book

                   Depreciation        B.O.Y         Expense      Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000          $0           $30,000         $12,000         $12,000  $18,000

2   $30,000    $12,000          $18,000         $7,200           $19,200  $10,800

3   $30,000   $19,200          $10,800           $4,320          $23,520   $6,480

4   $30,000  $23,520          $6,480           $2,592           $26,112   $3,888

5  $30,000  $26,112            $3,888          $1555           $27,667     $2,332

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Answer:

46.6 m/sec.

Step-by-step explanation:

Answer: area = 697.5 area

the Answer: A

Step-by-step explanation:

The true statement about this system 2x - y = 0 and 5x + 3y = 22 is

The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given are two equations 2x - y = 0 and 5x + 3y = 22.

The ordered pair (7, 19) is not a solution to this system as these two equations do not intersect each other at (7, 19).

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Answer:

the answers are 2 choices

1- The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.

2- The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

Step-by-step explanation:

i took the k12 test and got these as the answers correctly

Answer:

a number that is at least as large as 8.9

Step-by-step explanation:

the line under the greater than sign makes it equal to or greater than

As per the given equation, the distance between the two towns is 128 miles.

Equation:

Equation defined as the mathematical statement that is made up of two expressions connected by an equal sign.

Given,

A delivery truck drove 32 miles per hour. It took 4 hours to travel between two towns.

Here we need to find the distance between the two towns.

Here we know that, the equation

d=rt,

where

d is distance,

r is rate, and

t is fine.

Through the given question we have identified that the value of r (rate) is 32 miles per hour and the value of t (fine) is 4 hours.

So, the distance is,

d = 32 * 4

d = 128.

Therefore, the distance between the two towns is 128 mile.

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Answer:

False.

Step-by-step explanation:

E = mc² shows the relationship between mass and energy.

Answer:

93.13

Step-by-step explanation:

   8 9 10                 This is to show the work

 99.00

-   5.87

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

  93.13        

If it reaches 250 bus stop shelters per month, then only the country can achieve their goal of 12000 bus stop shelters in 48 months.

Given,

The number of bus stop shelters a Country should built = 12,000

Time period for achieving the goal = 48 months

The average bus stop shelters the country can build in a month = more than 215

We have to explain that if they follow the above given format, will they achieve the goal in 48 months.

We can find it by using division operation;

Lets see;

Number of bus stop shelters they should build in one month = 12000/48 = 250

Here,

They are building more than 215 bus stop shelters per month.

If it reaches 250 bus stop shelters per month, then only the country can achieve their goal of 12000 bus stop shelters in 48 months.

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The value of ∠C: 121°

What is Triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane.

Given this,

There is an ABC triangle.

m∠A = (x + 6)°

m∠B = (3x - 15)°

m∠C = (5x + 36)°

The size of C must be determined.

Having said that,

A triangle's total number of angles equals 180 degrees.

As a result, we can say,

∠(A) + ∠(B) + ∠(C) = 180

(x + 6)° + (3x - 15)° + (5x + 36)° = 180°

(x + 3x + 5x) + (6 - 15 + 36) = 180°

9x + 27 = 180°.

9x = 180 - 27

9x = 153 degrees

x = 153/9 degrees

17 = x.

Hence,

The ∠C  is expressed as

∠C = 5x + 36

= 5*17 + 36

= 85 + 36

∠C = 121.

Thus, ∠C = 121.

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Begining with the third term, each term of the sequence is the sum of the preceding two.

Answer:

£56.16

Step-by-step explanation:

do 2 divided by 18.72 which is 9.36 then do 9.36×6 which is 56.16

The order of cards on number line are in main body.

What is number line?

In elementary arithmetic, number line could be a image of a graduated line that is visual illustration of the important numbers. each purpose of range|variety} line is assumed to correspond to a true number, and each complex number to a degree.

Main body:

According to question we need to arrange numbers in ascending order ,

so the order will be as

-31/ 3 = -11.33

-10

-9/8 = -1.125

0

1/4 = 0.25

1

9/8 = 1.125

8

hence the order is as  -31/3< -10< -9/8 < 0< 1/4 < 1 < 9/8< 8

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The sum of four digits numbers constructed by the digits 1, 2, 3, and 4 is 10

The sum of the digits is achieved by adding the digits

The sum will be same no matter how the numbers are placed and as long as the numbers are not repeated.

The property that is useful here is the commutative property of addition

adding the digits

= 1 + 2 + 3 + 4

= 10

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The picture is right here

The time taken for the rocket to reach its maximum height according to information given is; 2.25 seconds.

The maximum height reached by the toy rocket is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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y=5/3x -2

slope: 5/3

y-intercept: (0,-2)

1) The equivalent fraction is 27/8, so the correct option is A.

2) The value of the exponent in the right side must be y = 2, the correct option is C.

1) First we want to find an equivalent fraction to (2/3)^(-3)

Remember that a negative exponent means that we nee to take te inverse, we can write:

(2/3)^(-3) = (3/2)^3

Now we can just distribute the exponent along the numerator and denominator.

(3/2)^3 = (3^3)/(2^3) = 27/8

The correct option is A.

2) How to find the value of y?

Here we have the equation:

(3^3)^2/9^2 = 3^y

If we move the denominator to the right side, we can write:

(3^3)^2 = 9^2*3^y

Now, remember that:

9 = 3^2

Then we can write the right side as:

(9^2)*3^y = (3^2)^2*3^y = 3^(2*2)*3^y = 3^(4 + y)

Replacing that in the original equation we get:

(3^3)^2 = 3^(4 + y)

The exponent in the left side can be rewritten as:

(3^3)^2 = 3^(3*2) = 3^6

The the equation becomes:

3^6 = 3^(y + 4)

This is only true if:

6 = y + 4

6 - 4  =y

2 = y

The correct option is C.

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Answer:

250.

Step-by-step explanation:

First we need to round to the nearest 100:

120 rounded to the nearest 100 is 100.

230 rounded to the nearest 100 is 200.

455 rounded to the nearest 100 is 500.

175 rounded to the nearest 100 is 200.

So, we have the numbers 100, 200, 500, and 200.

To find the average of numbers, we need to add them up and divide the number we get by how many numbers we added:

100 + 200 + 500 + 200 = 1,000

Since we added 4 numbers, we divide by 4:

1,000 divided by 4 = 250.

We don't round to the nearest 100 for 250 because the question said to only round for the original numbers. But, if i am wrong somehow, 250 rounded is 300.

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