The expression (3x^7)^4 is equivalent to cx^n.What is the value of c?

Answers

Answer 1

Answer: It’s 81

Step-by-step explanation:

I think it’s 81 because u use the distributive property (xy)^a=x^a y^a

and in the situation you change it into 3^4(x^7)^4 and u simplify 3^4 and get 81 and then just multiply 7 and 4 and your answer is 81x^28. 81 is c in the equation

Answer 2

We want to find an equivalent expression to  (3x^7)^4 of the form cx^n, and we want to find the value of c.

The equivalent expression is:

[tex]81*x^{28}[/tex]

So the value of c is:

c = 81.

First, we need to remember two properties of exponents.

The exponents are distributive under multiplications.

And we know that:

[tex](a^n)^m = a^{n*m}[/tex]

Using these two properties, we can rewrite:

[tex](3x^7)^4 = (3^4)*(x^{7*4}) = 81*x^{28}[/tex]

So the equivalent expression is:

[tex]81*x^{28}[/tex]

Then we have c = 81.

If you want to learn more, you can read:

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Related Questions

I need help please help with this question I will give brainliest this is a major grade so no joking around please

Answers

Answer:

A

Step-by-step explanation:

The transformation that describes reflection over the x-axis is (x,-y)

one-third of a number, n, minus 7
ALGEBRAIC EXPRESSION
ASAP ASAP ASAP

Answers

Answer:

[tex] \frac{n}{3} - 7[/tex]

Step-by-step explanation:

The comma is important here, otherwise "one third of a number n minus 7" is

[tex] \frac{n - 7}{3} [/tex]

The algebraic expression represents “one-third of a number, n, minus 7

” could be; 1/3n - 7.

What is an expression?

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like , subtraction, addition, multiplication, and division.

The Numbers constants, variables, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols.

We are given that “one-third of a number, n, minus 7”

Therefore, the number n and 7 then it can be written as

1/3n - 7

The algebraic expression represents the statement is 1/3n - 7.

To know more about an expression follow;

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If an object has a mass of 450 kg and is moving at 15 m/s, What is that object's momentum?

Answers

[tex]p=mv=450\mathrm{kg}\cdot15\mathrm{\frac{m}{s}}=6750\mathrm{\frac{kgm}{s}}[/tex].

Hope this helps.

PLEASE PLEASE HELP ME!!

Answers

Answer:

C. BC ≅ EC

hopes this helps :)

Answer:

Line AC is congruent to line DC (top answer)

Step-by-step explanation:

If a point is a midpoint of a line, then each half of the line (AC and DC in this case) is equal

dawn had 1/5 gallon of juice to divide evenly between 2 friends.How much juice should each friend receive?

Answers

Answer:

7.5 if 1/5 is 15. if not, its 0.6

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

you have to break the fraction into 1/3 so the 2 friends can evenly get that

if its wrong look at someone else

PLEASE HELP

Write an equation to represent the following description. Use pencil and paper. Describe a​ real-world situation the equation could represent.
Eight more than four times a number is 28.
Choose the correct answer below.
A. 4x - 8 = 28
B. 8x + 4 = 28
C. 4x + 8 = 28
D. 8x - 4 = 28
E. 4(x+8) = 28

Answers

Answer:

Step-by-step explanation:

Eight more means add 8

Four times an unknown number is 4x

‘Is’ 28 means equal to 28

4x+8=28

can you please help me??

Answers

15 minutes

1 hour divided by 4 is 15

hope that helped

Edward deposited ​$8500 into a savings account 4 years ago. The simple interest rate is 5​%. How much money did he earn in​ interest?

Answers

Step-by-step explanation:

bun the end of the yeah job. intend him dnd neer

t he held orlick knife David kamp jacory danforth Jackie renfrow quill lss Michael Kaepernick post Darvish Davydenko Comstock decision Nintendo Kuznetsov victory

I need this asap ty:p
Which of the following equations are equations of a direct variation? Choose all that apply.
(a) x=−2y
(b) x+2y=12
(c) 3x−2y=0
(d) 5x^2+y=0
(e) y =0.3x +1.6
(f) y−2=x

Answers

Answer:

(a) x = -2y

(c) 3x - 2y = 0

Step-by-step explanation:

You can tell if an equation is a direct variation equation if it can be written in the format y = kx.

Note that there is no addition and subtraction in this equation.

Let's put these equations in the form y = kx.

(a) x = -2y

y = x/-2 → y = -1/2x This is equivalent to multiplying x by -1/2, so this is an example of direct variation.

(b) x + 2y = 12

2y = 12 - x y = 6 - 1/2x This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is NOT an example of direct variation.

(c) 3x - 2y = 0

-2y = -3x y = 3/2x This follows the format of y = kx, so it is an example of direct variation.

(d) 5x² + y = 0

y = -5x²This is not in the form of y = kx, so it is NOT an example of direct variation.

(e) y = 0.3x + 1.6

1.6 is being added to 0.3x, so it is NOT an example of direct variation.

(f) y - 2 = x

y = x + 2 2 is being added to x, so it is NOT an example of direct variation.

The following equations are examples of direct variation:

x = -2y 3x - 2y = 0

Answer:

(a) x = -2y

(c) 3x - 2y = 0

Step-by-step explanation:

You can tell if an equation is a direct variation equation if it can be written in the format y = kx.

Note that there is no addition and subtraction in this equation.

Let's put these equations in the form y = kx.

(a) x = -2y

y = x/-2 → y = -1/2x

This is equivalent to multiplying x by -1/2, so this is an example of direct variation.

(b) x + 2y = 12

2y = 12 - x

y = 6 - 1/2x

This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is NOT an example of direct variation.

(c) 3x - 2y = 0

-2y = -3x

y = 3/2x

This follows the format of y = kx, so it is an example of direct variation.

(d) 5x² + y = 0

y = -5x²

This is not in the form of y = kx, so it is NOT an example of direct variation.

(e) y = 0.3x + 1.6

1.6 is being added to 0.3x, so it is NOT an example of direct variation.

(f) y - 2 = x

y = x + 2

2 is being added to x, so it is NOT an example of direct variation.

The following equations are examples of direct variation:

x = -2y

3x - 2y = 0

A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 412cm. The prism is filled with cubes that have edge lengths of 12 cm. How many cubes are needed to fill the rectangular prism? Enter your answer in the box. To fill the rectangular prism, how many cubes are needed to fill the rectangular prism?

Answers

Answer:

618

Step-by-step explanation:

1st step: 6 x 3 x 412

2nd step: 7416 / 12

Final Answer: 618

Hope this helped!

Answer:

It's 648!

Step-by-step explanation:

Your welcome! I took the test! The other persons wrong sry! Have a great week! Happy almost easter! Spring is here! Have a great spring break!

Find the value of X below

Answers

52° is your answer

Hope it helps

Which graph represents f(x) = 6 cos (4pix)

Answers

Look at the picture below!!

If this helped mark me brainliest pls!!

A bottle of shampoo costs $4 at a store. It is on sale for 25% off, and the sales tax in 5.5%. What is the sales price of the shampoo?
please ACTUALLY HELP>DONT JUST SPAM >IM BEGGING U>I WORKED HARD FOR THESE POINTS>

Answers

Answer:

1.22 dollars after sales tax

Answer:

4

Step-by-step explanation:

that is the answer

HELP PLEASEEEE

Tammy has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Which equation can be used to determine the length and the width of the rug?

A.
21 = 4w^2

B.
21 = w^2 + 4w

C.
21 = w^2 – 4w

D.
21 = w^2 + 4

Answers

Answer:

D

Step-by-step explanation:

The equation to determine the length and width of the rug is 21 = w² + 4w.

What is Rectangle?

A rectangle is a four sided figure with opposite sides are equal .

Area of a rectangle = Length x width

Given that A rectangular rug with an area of 21 square feet.

The rug is 4 feet longer than it is wide.

Let 'l " be the length of the rug and 'w' be the width of the rug

Length is 4 feet longer than its width

l = w + 4

Area is 21 square feet.

Area = l x w

21 = (w + 4)w

21 = w² + 4w

The equation to determine the length and width of the rug is 21 = w² + 4w.

So width is 3 ft

Length = w +4

length = 3+4= 7 feet

Thus Length of the rug is 7 feet

Length of rug = 7 feet

width of the rug = 4 feet

Learn more information about ' Area of rectangle ' here;

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If your phone cord is wrapped up in a rectangle that is 2x1 feet, how far can it reach?

Answers

Answer:

6 feet

Step-by-step explanation:

You are basically finding the perimeter of this rectangle.

2+2+1+1 = 6

please help!
both questions

Answers

a)
f(2x)+g(3x-9)

2fx+g(3x)+g•-9

2fx+3gx+g•-9

Answer:2fz+3gz-9g



Below are four cube roots. The cube root of a number is the factor we multiply by itself three times to get that number. For each cube root below, state between which two numbers does the cube root lie.

∛5

∛23

∛81

∛99

Your answer:

Answers

Cube root of 5= 1.71 so between 1 and 2
Cube root of 23= 2.84 so between 2 and 3
Cube root of 81= 4.33 so between 4 and 5
Cube root of 99= 4.63 so between 4 and 5

Members of a baseball team raised $1141.75 to go to a tournament. They rented a bus
for $880.50 and budgeted $23.75 per player for meals. Determine the number of
players the team can bring to the tournament.

Answers

Answer:11 players

Step-by-step explanation:

Which choice is equivalent to the expression below? √27 - √12 + √48
A. 29√3
B. 9√3
c. 21√3
D. 5√3

Answers

Answer:

D

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying each radical

[tex]\sqrt{27}[/tex]

= [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

[tex]\sqrt{12}[/tex]

= [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

[tex]\sqrt{48}[/tex]

= [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

Then

3[tex]\sqrt{3}[/tex] - 2[tex]\sqrt{3}[/tex] + 4[tex]\sqrt{3}[/tex]

= 5[tex]\sqrt{3}[/tex] → D

4.
The table shows values for a linear function
X=-2,-1,2,3
f(x)=-3,-1,5,7

Answers

What do you want to do? A graph?

loooooook below answer number 1234 am giving brainliest

Answers

Answer: for number 1 - answer is 84.7

number 2 - answer is 24

number 3- answer is 47.5

number 4 - answer is 6.5

Step-by-step explanation:

1: 84.7

2: 24

3: 47.5

4: 6.5

answer for brainliest

Answers

Answer:

A = 452.16

Step-by-step explanation:

A = 1/4 x 3.14 x d^2

Answer:

75.36

Step-by-step explanation:

did math

Does anyone know what the answer is?​

Answers

21 I think. 21/14=12/8

According to the graph, what is the solution (ordered pair) of this system of equations?​

Answers

Answers:

(2, -3) and (3, -3)

==================================================

Work Shown:

Since f(x) = -3, we'll replace f(x) with -3 and solve for x

f(x) = x^2 - 5x + 3

-3 = x^2 - 5x + 3 .... f(x) replaced with -3

0 = x^2 - 5x + 3 + 3 ... adding 3 to both sides

0 = x^2 - 5x + 6

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0 .... factor; you can also apply the quadratic formula

x-3=0 or x-2=0

x = 3 or x = 2

So that explains where that '2' comes from when they listed (2, ?)

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

To find what replaces the question mark, we will plug x = 2 into the function

f(x) = x^2 - 5x + 3

f(2) = 2^2 - 5(2) + 3

f(2) = 4 - 10 + 3

f(2) = -3

We could have skipped this portion and said that the solution is (2,-3) but plugging x = 2 into the function to get the output y = -3 helps confirm that x = 2 is one of the x solutions.

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

Let's do the same for x = 3

f(x) = x^2 - 5x + 3

f(3) = 3^2 - 5(3) + 3

f(3) = 9 - 15 + 3

f(3) = -3

We end up with the same output, so x = 3 is confirmed as well.

The graph below visually helps reinforce these confirmations. Each solution  is an intersection between the two curves.

Answer:

cool

Step-by-step explanation:

I'm not sure I'm just getting points

A grocery store sells 5 lemons in a bag for $2.00 what is the unit cost of each lemon in the bag?

Answers

Answer:

$2.00/5= 0.4

so 40 cents

Step-by-step explanation:

Answer:

$0.40

Step-by-step explanation:

There were some zombies in the kitchen, however, the lunch lady was able to eliminate 5 zombies. There are now 12 zombies in the kitchen. How many zombies were in kitchen before the lunch lady took care of a few? J K L 60 8 17​

Answers

Answer is 17.
There were 17, before the lunch lady... killed... 5. Leaving us with12.

Your welcome :))

PLZ HELP ME

Which expression is a factor of 16x^2-81

I will mark brainliest



A: 8x-9


B: 4x-9


C:8x-81


D: 4x-81

Answers

Answer:

B- 4x-9

Step-by-step explanation:

that's the answer


[tex](m{}^{2})(m {}^{?}) = m {}^{5} [/tex]
What is the answer for - ?

Answers

Answer:

5/2

Step-by-step explanation:

[tex](m^{2})(m^{?}) = m^{5}\\ m^{2*?} = m^{5}\\m^{2*5/2} = m^{5}\\(m^{2})(m^{5/2}) = m^{5}[/tex]

The Park family was traveling to Disney World on vacation. They drove 487.5 miles in 7.5 hours. At this rate, how many miles did the Park family drive per
hour?

Answers

They drove 65 miles per hour

john picks numbers at random. 10 5 5 3 7 9. what is the probability he picked an even number?

Answers

Answer:

1/6 probability

Step-by-step explanation:

He only got one even number out of 6 attempts, so its a one in six 1/6.

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