What is the value of b in the equation

What Is The Value Of B In The Equation

Answers

Answer 1

Answer:

b = - 6

Step-by-step explanation:

Using the rules of exponents

[tex](a^{m}) ^{n}[/tex] ⇔ [tex]a^{mn}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Thus

[tex](y^{b}) ^{4}[/tex] = [tex]y^{4b}[/tex] = [tex]\frac{1}{y^{24} }[/tex] = [tex]y^{-24}[/tex], then equating the exponents

4b = - 24 ( divide both sides by 4 )

b = - 6


Related Questions

A customer was so happy with your service that they wanted to give you a 15% tip on the price of the car. If their car costs $43,780, how much would they pay you in tip?

Answers

Answer:

$6,567

Step-by-step explanation:

Multiply $43,780 by .15

6(2x - 4) = 12w
solve for x

Answers

Answer:

x = w + 2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Distributive Property

Step-by-step explanation:

Step 1: Write equation

6(2x - 4) = 12w

Step 2: Solve for x

Distribute 6:                                       12x - 24 = 12wSubtract 24 on both sides:               12x = 12w + 24Divide 12 on both sides:                    x = (12w + 24)/12Factor GCF:                                        x = 12(w + 2)/12Simplify:                                              x = w + 2

NEED HELP PLEASE WORTH 78 POINTS!!!

Answers

27.  1,3,5,15

28.  1,2,3,5,6,10,15,30

29.  1,2,3,6,9,18

30.  1,17

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

31.  30x30=900

32.  12x12x12x12= 20,736

33. 11x11x11= 1331

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Answer:

  27.  15 = 1×15 = 3×5

  28.  30 = 1×30 = 2×15 = 3×10 = 5×6

  29.  18 = 1×18 = 2×9 = 3×6

  30.  17 = 1×17

  31.  base: 30; power: 2; value: -900

  32.  base: 12; power: 4; value: 20,736

  33.  base: 11; power: 3; value: 1,331

Step-by-step explanation:

27-30: The factor pairs can be found by looking at the unique subsets of the set of prime factors. The product of the elements of each subset will be a divisor. The "empty" set can be considered to contain 1. When divisors are listed in numerical order, the factor pairs can be found by pairing factors from each end of the list, working toward the center. If the number is a perfect square, there will be an odd number of divisors, and the center number will be used twice

Examples:

  18 = 2×3×3 (prime factorization).

Subsets of these factors are  {}, {3}, {3}, {3,3}, {2}, {2,3}, {2,3}, {2,3,3}. Then the divisors are 1, 2, 3, 6, 9, 18. The factor pairs are 1×18, 2×9, 3×6.

  25 = 5×5 (prime factorization).

Unique subsets are {}, {5}, {5,5}. Divisors are 1, 5, 25. Factor pairs are 1×25, 5×5.

__

The purpose of an exponent is to indicate repeated multiplication. That is, just as 2×3 means 2+2+2 (repeated addition), the use of an exponent means repeated multiplication: 2³ means 2×2×2.

This idea can be extended to give several rules of exponents--rules for multiplication, division, powers, and roots. All of these rules derive from the basic idea of repeated multiplication.

The number that is repeatedly multiplied is called the base. The exponent is called the power.

In plain text, the caret (^) symbol is used to signify an exponent. If an exponent is other than a single number or variable, it must be enclosed in parentheses, so that there is no confusion regarding what the exponent consists of. (This is an "order of operations" issue, since exponentiation must happen before any other operation.) In typeset math expressions, an exponent is rendered in superscript text.

31. -30^2 = -900 . . . base is 30, power is 2. The minus sign is not part of the base. Again, this interpretation is based on the "order of operations".

32. 12^4 = 20,736 . . . base is 12, power is 4.

33. 11^3 = 1,331 . . . base is 11, power is 3

I don't know how to explain it

Answers

Answer:

Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

Step-by-step explanation:

Answer:

No, Sam was thinking was incorrect

Step-by-step explanation:

Sam's thinkin was incorrect when every time you add and negative to a negative it always become a positive number.

10 - (-6)

10 + 6 = 16

pls awnser tis question

Answers

Grade four is the answer

Answer:

It's grade 4! :)

Step-by-step explanation:

how do you find the domain and range of this graph?

Answers

Answer:

Domain: all real x values, Range: -4_<x_<infinity

Step-by-step explanation:

The Domain is the X values, and the range is the Y values

What is the first mistake that was made? - 10x + 14 - 2x = 2( -3x - 2)
-10x + 14 - 2x = -6x - 4
-10x - 2x + 14 = -6x - 4
-12x + 14 = -6x - 4
+6x. +6x
6x + 14 = - 4
- 14 - 14
6x = - 18
6 6x
X = -3

Answers

The first mistake was in the 6x + 14 = -4 Line as -12x + 6x is -6x and not 6x.

Miguel’s book has 331 pages. Kristen’s book has “n” fewer pages than Miguel’s book. Write an expression to represent the number of pages in Kristen’s book.

Answers

Answer:

331-n=x

Step-by-step explanation:

1. Consider the following system of equations.
x+y=5
2x-y=-2
The solution to the system of equations: (12,7)
Create a third equation that could be added to the system so that the solution does not change.

Answers

Answer:

x + 5 = 5

Step-by-step explanation:

Solution doesn't change as the x in the equation is 0 and the answer totals as 5 due to 5 plus 0 being 5

Evaluate y(-4) - 8x when x = 5, y = -1

Answers

Answer:

−36

Step-by-step explanation:

Use the distributive property to rewrite the following expression.
-(x - 3) - 2(-3x - 8)
Pls I need this last question

Answers

Answer:

-5x-19

Step-by-step explanation:

-(x-3) - 2(-3x-8)

-x+3 - 6x -16

-5x-19

1 mile divided by 2 laps =

Answers

The answer is 800 meters
1 mile is 1600 meters or four laps
So if you divide 1600 by 2 you get 800 meters

There are 4 laps in one mile, therefore, "1 mile divided by 2 laps" = 2.

What is division?

Division is the process of dividing a number by a given number.

Given, the statement "1 mile divided by 2 laps".

The statement written in mathematical form is:

(1 mile)/2 laps

There are 4 laps in one mile, therefore, substitute 1 mile = 4 laps into the above equation:
(4 laps)/2 laps

= 2

Hence, "1 mile divided by 2 laps" = 2.

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0.00105 in scientific notation

Answers

Answer:

1.05 × 10^-3

Step-by-step explanation:

The decimal number 0.00105 in scientific notation is  [tex]1.05 \times 10^{-3}.[/tex]

Scientific notation is a way to represent numbers that are either very large or very small.

It consists of two parts: the coefficient and the exponent.

The coefficient is a decimal number between 1 and 10, and the exponent indicates the power of 10 by which the coefficient is multiplied.

In the case of 0.00105, we can express it in scientific notation as [tex]1.05 \times 10^{-3}.[/tex]

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Which expression is equivalent to 4sin2(x) – 8sin2(StartFraction x Over 2 EndFraction)?

Answers

Answer:

A

Step-by-step explanation:

did it on edge

Answer:

A. 4(cos(x)-cos^2(x))

Step-by-step explanation:

Did the quiz on edge

I NEED HELP PLEASE HELP

Answers

I could help if i could but i also need help

PLEASE HELP ASAP!!!!!!!!!! YOU WILL GET BRAINLEST!!!!!!!!!!!!!!!!

The model represents an equation. What value of x makes the equation true?
A) 3/4
B) 9/2
C) −3/4
D) −9/2

Answers

Answer:

I am not completely sure I think it is A im not positive but I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

On the left, we have 7 -Xs and 7 1s. So, the left can be represented by the expression:

[tex]-7x+7[/tex]

On the right, we have 5 (positive) Xs and 16 1s. So, the right can be represented by the expression:

[tex]5x+16[/tex]

They are equal to each other. So:

[tex]-7x+7=5x+16[/tex]

Solve for x. Add 7x to both sides:

[tex]7=12x+16[/tex]

Subtract 16 from both sides:

[tex]-9=12x[/tex]

Divide both sides by 12:

[tex]x=-9/12[/tex]

Reduce:

[tex]x=-3/4[/tex]

So, our answer is C.

Find the value of the indicated angel. i’ll give u brainly please help.

Answers

Answer:

113 degrees

Step-by-step explanation:

In a sale a clothes shop reduces its price by 35% a shirt usually costs $36 how much after the sale?

Answers

Answer:

$23.40

Step-by-step explanation:

[tex]36(1 - .35) = 23.40[/tex]

The answer is $23.40

oranges were on sale for $0.45 per pound. Leo bought 12.6 pounds. which expression shows how to determine the total cost of oranges?

0. 12.6×0.45
0. 12.6-0.45
0. 12.6+0.45
0. 12.6÷0.45​

Answers

Answer:I believe it is A

Step-by-step explanation:

You would multiply bc it is a decimal

“A”is your answer for this question

What is the measure of angle A?

Answers

Answer: B. 15 degrees. Hope it helped you :) please mark as brainliest!

The length of the side of a regular nonagon is 7.86cm. Evaluate the perimeter of the nonagon.

Answers

Answer: 70.74

Step-by-step explanation:

A Nonagon has 9 equal sides, and each side of the given is 7.86

So 7.86 multiplied by 9 is 70.74

What is the equation of the linear function represented by the table?

x y
–5 14
–2 11
1 8
4 5
y = negative x + 9
y = negative x + 13
y = x + 13
y = x + 9

Answers

Answer:

Answer:

a y=  -x+9

Step-by-step explanation:

Answer:

A.) y = -x + 9





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

For the bake sale, connie baked 144 cookies. Esther bakes 49 more cookies than Connie.

Answers

Answer:

it is 198 i beleive

Step-by-step explanation: because there's 144 plus 49 so that makes 198

what is the slope of 3,2 -1,2​

Answers

Answer: m = 0

..........................

Triangle ABC is located on a coordinate plane. Angle C is at (1, 2). The triangle is rotated counterclockwise 90° about the origin. HOW DO I SOLVE THIS????

Answers

Answer:the answer is (-2,1)

Step-by-step explanation:

When rotating a point 90 degrees counterwise about the origin point (x,y) becomes (-y,x). So basically switch x and y and make y negative when rotating 90 degrees counterclockwise about the origin.

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

What is a triangle?

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC is located on a coordinate plane.

Angle C is at (1, 2).

This means that,

Angle C = (1, 2) is in the I Quadrant.

We have four Quadrant:

Quadrant I - The coordinates are in the form of (x, y)

Quadrant II - The coordinates are in the form of (x, -y)

Quadrant III - The coordinates are in the form of (-x, -y)

Quadrant IV - The coordinates are in the form of (-x, y)

If we rotate C = (1, 2) counterclockwise 90 degrees about the origin, the angle C will be in the IV quadrant.

So,

C = (1, 2) will become C = (-1, 2)

Thus,

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

Learn more about triangles here:

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Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.
Select ALL statements that MUST be true. *
A. Angle ABC is 60 degrees.
B. Angle AQA' is 60 degrees.
C. Points C and C' coincide.
D. Triangles ABC and A'B'C' are congruent.
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
G. Segment BQ is congruent to segment C'Q.
H.Segment AQ is congruent to segment A'Q.

Answers

Answer:

The correct options are;

D. Triangles ABC and A'B'C' are congruent

E. Angle ABC is congruent to angle A'B'C'

F. Segment BC is congruent to segment B'C'

H. Segment AQ is congruent to segment A'Q'

Step-by-step explanation:

The given information are;

The angle of rotation of triangle ABC = 60°

Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;

1) The length of the sides of the figure of the preimage and the image are congruent

Therefore;

BC ≅ B'C'

2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image

Therefore;

∠ABC ≅ ∠A'B'C'

3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation

Therefore;

Segment AQ ≅ A'Q'.

Choose the mixed number that is equivalent to this decimal 3.242424...

Answers

Answer:

3.24 = 3 6/25

Step-by-step explanation:

- Rewrite the decimal number as a fraction with 1 in the denominator.

- Multiply to remove 2 decimal places. Here, you multiply top and bottom by  100

- Find the Greatest Common Factor (GCF) of 324 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 4

- You should end up with that answer..

Simplify the expression
(7v^2 )(10u^3v^5)(8uv^3)

Answers

Answer:

[tex]560v^{10}u^{4}[/tex]

Step-by-step explanation:

Simplify the expression.

Help I need help with this question

Answers

Answer:

X = 208

Step-by-step explanation:

what is the equation of the line that passes through the point(3,-6) and has a slope of 0 ​

Answers

Answer:

y = 3 x − 3

Step-by-step explanation:

The equation for slope-intercept form is as follows:

To find  c , substitute  x = 3 ,  y= 6  and  m = 3  into the equation,6=3 (3 ) + c c= 6 − 9 c = − 3  Since we found  m = 3  and  c= − 3 , we can form the equation,  = 3 x− 3

:D

Answer:

y=-6

Step-by-step explanation:

I got it wrong and told me this was the answer! Im not good with math lol

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