Simplify each sum or difference. State any restrictions on the variables.
d-3 / 2d+1 + d-1 / 2d + 1

I need some help on this, how can I found the single power for this?

1) [tex](-5^{5})^{2}= 9765625[/tex]

2) [tex]\frac{12^{5} \times12^{7} }{-12^{4} } =-429981696[/tex]

Power is

An expression known as "power" denotes the process of repeatedly multiplying a value or integer.[tex]a^{n}[/tex] is often a power where n is the exponent and a is the base.

The amount of times a number has been multiplied by itself is shown by its exponent.

1) Given

[tex](-5^{5})^{2}\\\\[/tex]

Step1: [tex](-5^{5})=-3125[/tex]

Step2:[tex](-5^{5})^{2}=(-3125))^{2}=9765625[/tex]

This is how we will solve the power of [tex](-5^{5})^{2}\\\\[/tex]

2)Given

[tex]\frac{12^{5} \times12^{7} }{-12^{4} }[/tex]

Step1: [tex]12^{5} =248832[/tex]

Step2:[tex]12^{7} =35831808[/tex]

Step3:[tex]-12^{4} =-20736\\[/tex]

Step4: [tex]\frac{12^{5} \times12^{7} }{-12^{4} }=\frac{248831\times35831808}{-20736}[/tex]

Step5: [tex]\frac{12^{5} \times12^{7} }{-12^{4} } =-429981696[/tex]

This is how we will solve the power of [tex]\frac{12^{5} \times12^{7} }{-12^{4} }\\[/tex].

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Answer: 0

Step-by-step explanation:

The slope of the line y = -1/5 is zero because it is a horizontal line.

Parallel lines have the same slope, so the answer is also 0.

Answer:

18

4+7-2+9

11-2=9+9=18

Answer:

18

Step-by-step explanation:

Since according to PEMDAS, the value of when addition and subtraction is used is the same. Basically, in this equation you should do it in order. So, 4+7=11. Then 11-2 is 9. 9+9 is 18. So, the answer is 18.

Answer:

-3x - 7 is the answer

Step-by-step explanation:

your welcome

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[tex]\textcopyright ELIZA[/tex]

Answer:

x= 8, z= 118

Step-by-step explanation:

To find x, solve the equation with the one unknown x given by supplementary angles definition.

Supplementary angles sum up to 180° there for

8x +54 + 7x +6 = 180, group like terms

8x + 7x = 180 -54-6, combine like terms

15x = 120, divide both sides by 15

x = 8

To find z, solve for z the equation given by vertical angles definition.

Vertical angles are congruent there for

8x +54 = z, substitute x for 8

8·8 +54 = z, multiply then add

z = 118

Based on the definition of supplementary angles, x = 8; z = 118

Based on the definition of supplementary angles we have:

7x + 6 + 8x + 54 = 180

Solve for x

15x + 60 = 180

15x = 180 - 60

15x = 120

x = 120/15

x = 8

z = 8x + 54 (vertical angles)

Plug in the value of x

z = 8(8) + 54

z = 118

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you only have two answer choices but out off the two answer A is most correct.

After solving each system, 4y = 2x , 2x + y = (x/2) + 1 , the values of x and y are calculated to be 0.5 and 0.25 respectively.

The first equation, 4y = 2x is a linear equation whereas the second equation, 2x + y = (x/2) + 1 is considered a rational equation as it contains a fraction.

By rearranging the linear equation, the value of x can be found to be,

4y = 2x

x = 4y ÷ 2

x = 2y

Putting the calculated value of x in the rational equation,

2x + y = (x/2) + 1

2(2y) + y = (2y/2) + 1

4y + y = y + 1

Rearranging,

4y + y - y = 1

4y = 1

y = 1/4 = 0.25

To solve for x, put y = 0.25 in the linear equation as follows,

4y = 2x

4(0.25) = 2x

1 = 2x

x = 1/2 = 0.5

Thus the value of x and y in these systems are calculated to be 0.5 and 0.25 respectively.

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Answer:

7.2 × 10⁷ = 72,000,000

7.2 × 10⁴ = 72,000        

6.4 × 10⁷ = 64,000,000

6.4 × 10⁴ = 64,000        

*image*   = 64,000        

Step-by-step explanation:

Solve the equation.

( 8 × 10² ) ( 3.2 × 10⁵ )

          4 × 10³

Step 1: Solve the parenthesis

( 8 × 10² )      ( 3.2 × 10⁵ )

      ↓                     ↓

= (800)        = (320,000)

Step 2: Solve for the denominator

  4 × 10³  

      ↓

= 4,000

Step 3: Plug in the answers & solve

1.       ( 800 ) ( 320,000 )

2.               4,000

1.        800 × 320,000

                    ↓

         = 256,000,000

2.       256,000,000

                4,000

                    ↓

          256,000,000 ÷ 4,000

                    ↓

          =  64,000  

I hope this was helpful! (✿◠‿◠)

Have a blessed day!

Answer:

27:33

Step-by-step explanation:

turn the ratio into an equation by and add 6 to 9x to mae it equal to 11x and solve for x

The expression for the total number of seats in the center section is 12c² +29c - 8

From the question, we are to determine the expression for the total number of seats in the center section

From the given information,

The theater has a center seating section with 3c + 8 rows and 4c - 1 seats in each row

The number of seats in the center section is the product of 3c + 8 and 4c - 1

Thus,

Number of seats in the center section = (3c + 8)(4c -1)

Number of seats in the center section = 12c² - 3c + 32c - 8

Number of seats in the center section = 12c² +29c - 8

Hence, the expression for the total number of seats in the center section is 12c² +29c - 8

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After calculating the value of x in the all angle sum equation of ΔRST, we have come to find that m∠S = 38°.

An angle is a figure generated by two rays or lines that have a common terminal in Plane Geometry. The term "angle" is derived from the Latin word "angulus," which meaning "corner." The two rays are known as the sides of an angle, while the common terminus is known as the vertex.

The plane angle does not have to be in Euclidean space. Dihedral angles are created by the intersection of two planes in Euclidean or other space. An angle is identified by the symbol "∠". The angle measurement between the two beams can be represented by the Greek letter θ,α, β etc.

We have given that

m∠R = (x+17)°

m∠S = (2x−2)°

m∠T = (5x+5)°

We know all the angles of a triangle add upto 180°

m∠R + m∠S + m∠T = 180°

(x+17)° + (2x−2)° + (5x+5)° =180°

8x + 20 = 180°

8x = 160°

x = 160°/8

x = 20°

And therefore, m∠S = (2(20)−2)°

                                  = (40 - 2)°

                                  = 38°

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Answer: 63 ÷ (7-4) x 2=42

Step-by-step explanation:

Answer:

The answer is 42

Step-by-step explanation:

We can solve this by using Order of Operations

1. Solve whats inside the parentheses (7-4) =3

63÷3×2

2. Now solve from left to right

63÷3 =21

21 ×2= 42

And we get a final answer of 42.

Hope this helps!

Answer:

The length would have to be 9, and the width 1

Step-by-step explanation:

l*W 9*1=9

Answer:

[tex] \frac{1}{2} - \frac{2}{15} = \frac{15 - 4}{30} = \frac{11}{30} \\ \\ we \: \: have \: \: to \: \: add \: \: any \: number \: \: which \: \: \\ is \: greater \: \: than \: \frac{11}{30} [/tex]

After solving each system, 7x + 2y = -8, 8y = 4x , the values of x and y are calculated to be -1 and -1/2 respectively.

The given equations, 7x + 2y = -8, and 8y = 4x, are considered to be linear equations as the highest power of the variables in these equations is one.

By rearranging the second equation, the value of x can be found to be,

8y = 4x

x = 8y / 4

x = 2y

Putting the calculated value of x in the second equation,

7x + 2y = -8

7(2y) + 2y = -8

14y + 2y = -8

16y = -8

y = -8/16

y = -1/2

To solve for x, put the calculated value of y in the first equation,

7x + 2y = -8

7x + 2(-1/2) = -8

7x - 1 = -8

7x = -8 + 1

7x = -7

x = -7/7

x = -1

Thus the values of x and y in these systems are calculated to be -1 and -1/2 respectively.

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Answer: 1. x=−7+5y+4z,   y=7/5+x/5−4z/5,  z=7/4+x/4−5y/4

2. x=−1−10y−4z         y=−1/10−x/10−2z/5       z=−1/4−x/4−5y/2

3. x=−5−8y−4z          y=−5/8−x/8−z/2            z=−5/4−x/4−2y

Step-by-step explanation:

Answer:   4r2−8r+4

Step-by-step explanation:    

(4r−4)(r−1)

=(4r+−4)(r+−1)

=(4r)(r)+(4r)(−1)+(−4)(r)+(−4)(−1)

=4r2−4r−4r+4

=4r2−8r+4

Hope u get it  Correct <3

Answer:

[tex] \frac{ - 9}{21} [/tex]

then simplify

Step-by-step explanation:

Slope =

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Rise

(-2)-(7)=-9

Run

[tex]8 - ( - 13) = 21[/tex]

Answer: 3/-7

Step-by-step explanation:

y2-y1 over x2-x1 is slope. your parenthesis go in the order of (x,y)

8=x1 -2=y1 -13=x2 7=y2

7 - -2 = 9

-13 - 8 = -21

9/-21

simplify to get 3/-7

Answer:

First, take -5x then turn -5 to a positive 5 like so and add it to -6. So, -6+5= -1, so then take -1 + 4 which will equal 4 which is y.

Y=4

Solution of the literal equation 4y-5x=-6 for y is y = (5/4)x - (3/2).

A literal equation are equations which have two or more unknown variables in them. A literal equation can be solved by adding or subtracting or multiplying or divide by same numbers on both sides of the equation in order to get an expression for the required variable.

Given an literal equation 4y - 5x = -6

We need to solve this equation  for y , means separate y and make its coefficient 1

4y-5x =-6

Adding 5x both sides ⇒ 4y-5x+5x = -6 +5x

                                    ⇒ 4y = 5x-6

Divide both sides by 4 , we get

⇒4y/4 = (5x-6)/4

⇒ y = (5/4)x - (6/4)

⇒ y = (5/4)x - (3/2)

∴The solution for the variable y from the given literal equation  4y-5x=-6 is  y = (5/4)x - (3/2)

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Answer:

x = -6⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

point slope form:  y - y1 = m (x - x1), where m is slope and x1, y1 is a point the line passes through

here the slope m = 5, and the point x1,y1 = -3,6, so substituting the equation is:

y-6 = 5(x+3)

Step-by-step explanation:

A translation maps one triangle onto the other. Each pair of corresponding sides has the same measure, so they are congruent. △MNO ≅ △QRS by SSS.

What exactly do you mean by congruent?

Use the Distance Formula to find the lengths of.

MN , NO , OM

MN has end points M(4 , 7)  And N( 5, 4 )

MN = [tex]\sqrt{ (x_{2} - x_{1}^{2}+ ( y_{2} - y_{1} )^{2}[/tex]

      = [tex]= \sqrt{(1)^{2} + ( -3)^{2} }[/tex]

       [tex]= \sqrt{ 1 + 9 }[/tex]

         [tex]= \sqrt{10}[/tex]

NO has end points N(5, 4) and O(2, 3).

NO = √( 2 - 5 )² + ( 3- 4 )²

      = √( - 3)²  + ( -1)²

      = √ 9 + 1 = √10

OM has end points O(2, 3) and M(4,7)

OM = √( 4 - 2 )² + ( 7 - 3 )²

      = √ (2)²  + ( 4 )²

       = √20

Similarly, find the lengths of QR, RS , SQ

QR has end points Q(2, 5) and R(3, 2).

QR = √( 3 - 2)² + ( 2 - 5 )²

     = √(1)² + ( -3)²

     = √ 1 + 9

      = √10

RS has end points R(3, 2) and S(0, 1).

RS = √( 0- 3)² + ( 1 - 2 )²

     = √( -3)² + (-1)²

      = √9 + 1 = √10

SQ has end points S(0, 1) and Q(2, 5).

SQ = √ ( 2 - 0 )² + ( 5 - 1 )²

      = √ 4 + 16  = √20

So, MN ≅ QR , NO ≅ RS and OM ≅ SQ

A translation maps one triangle onto the other. Each pair of corresponding sides has the same measure, so they are congruent. △MNO ≅ △QRS by SSS.

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The given expression written in the simplest radical form is 3√5

From the question, we are to write the given expression in the simplest radical form

The given expression is 45^(1/2)

From one of the laws of indices, we have that

[tex]x^{y/n} = \sqrt[n]{x^{y} }[/tex]

Thus,

Applying this rule, the given expression can be written as

√45

Now, we will express the given radical expression in the simplest radical form

Expressing in simplest radical form

√45

= √(9 × 5)

= √9 × √5

= 3 × √5

= 3√5

Hence, the given expression written in the simplest radical form is 3√5

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The equation in slope-intercept form for the line that passes through (-0,7), parallel to y = 4x-19 is y = 4x + 7.

The slope intercept form of a line is:-

y = mx + b

Where:-

m represents the slope of a line

b represents the y-intercept of a line

x and y represent the ordered pairs (x,y) throughout a line

We are given the line y = 4x-19 is parallel to the line whose equation we have to find.

Hence,

slope of the line = 4 = slope of the given line

Also, (0,7) passes through the line,

Hence,

7 = 4*(0) + b

7 = 0 + b

b = 7

Hence, the equation of the line in slope intercept form is y = 4x + 7.

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Answer:

17.91!

Step-by-step explanation:

It would be, 17.91044776, so if you round it, you should get 17.91!

Hope this helps!!

Using substitution method, the solution of the given system of equations is  (-1, 2)

A system of equation can be solved using:

The given system of equations:

y - 3 = x  ............   (1)

4x + y = -2  .............. (2)

To use substitution method, we need to isolate y in equation (1). Add 3 to both sides:

y - 3 + 3 = x + 3

y = x + 3    ............... (3)

Substitute y = x + 3 into equation (2):

4x + y = -2

4x + x + 3 = -2

5x + 3 = -2

5x = -5

 x = -1

Substitute back x = -1 into equation (3)

y = x + 3

   = -1 + 3 = 2

Hence, the solution is (-1, 2)

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Answer:

Step-by-step explanation:

yes I will

Are you not doing school today

The next fraction in this sequence is 11/14

Given data

1/2, 4/7, 9/14, 5/7,.....

The sequence is an arithmetic sequence and the terms are gotten by successive addition of the common difference

first term + difference = 2nd term

1/2 + d = 4/7

d = 4/7 - 1/2

d = 1/14

finding the fifth term

4th term + difference = 5th term

5/7 + 1/14 = 5th term

5th term = 11/14

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Answer:

Step-by-step explanation:

Givens

Smallest odd number = 2x + 1   The one guarantees that the number is odd. The 2 in front of the x makes sure it is even to start with.

The larger odd number is 2x + 3.

Equation

2x + 1 + 3(2x + 3) = 330                    Remove the Brackets

2x + 1 + 6x + 9 = 330                       Combine

8x + 10 = 330                                  Subtract 10 from both sides.

8x +10-10 = 330 - 10                        Combine

8x= 320                                           Divide both sides by 8

x = 40

Answer

2x + 1 = 2*40 + 1 = 81

2x + 3 = 2*40 + 3 = 83