please explain how you got your answer

Write the expression as a monomial in its standard form:
25a^4*(3a^3)^2

Please Explain How You Got Your AnswerWrite The Expression As A Monomial In Its Standard Form: 25a^4*(3a^3)^2

Answers

Answer 1

9514 1404 393

Answer:

  [tex]225a^{10}[/tex]

Step-by-step explanation:

The rules of exponents apply:

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

  [tex]25a^4\cdot(3a^3)^2=25a^4\cdot3^2a^{2\cdot3}=25\cdot9a^4\cdot a^6\\\\=225a^{4+6}=\boxed{225a^{10}}[/tex]


Related Questions

494 is 152% of what number?

Answers

Answer:

747.84

Step-by-step explanation:

change the percent to a decimal 1.52 then multiply by 494

1.52×494=747.84

CREATE A SYSTEM OF EQUATIONS AND FIND THE SOLUTION TO 5y-40x=10 y+6x=0

Answers

Answer:

x = -1/7

y = 6/7

Step-by-step explanation:

factor a 5 out of the first equation to work with smaller numbers:

y - 8x = 2

let y = -6x (derived from the second equation)

substitute:  -6x - 8x = 2

-14x = 2

x = -2/14 or -1/7

find 'y':  y - 8(-1/7) = 2

             y + 8/7 = 14/7

              y = 6/7

Answer:

x = -1/7, y = 6/7

System: [tex]\left \{ {{5y-40x=10} \atop {y+6x=0}} \right.[/tex]

Step-by-step explanation:

The system of equations would be [tex]\left \{ {{5y-40x=10} \atop {y+6x=0}} \right.[/tex].

To find out what x and y are, choose one of the equation and solve for y. Then, substitute the result for y into the other equation.

5y - 40x = 10 (Add 40x to both sides)

5y = 40x + 10 (Divide both sides by 5)

y = 1/5(40x + 10) (Multiply 40x + 10 by 1/5)

y = 8x + 2 (Substitute this for y in the other equation.)

8x + 2 + 6x = 0 (Add 8x to 6x)

14x + 2 = 0 (Subtract 2 from both sides)

14x = -2 (Divide both sides by 14)

x = -1/7 (Substitute this for x in the y = 8x + 2)

y = 8(-1/7) + 2 (Multiply -1/7 by 8)

y = -8/7 + 2 (Convert 2 into 14/7; show as a single fraction)

y = (-8 + 14)/7 (Add -8 and 14)

y = 6/7 (The system is solved)

Thanks, 5star rating, brainliest, and 5 points.

Answers

Answer:

thanks...

Step-by-step explanation:

Did I get it correct?

Answers

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

Answer:

Yes. I assume yes they are proportional because you can see a pattern in the y and x's.

prime numbers have

less than 2 numbers
more than 2 factors
exactly 2 factors
less than or equal to 2 factors

Answers

Answer:

wfddďdrfrrttyyyytgghhghhu

how many coorinates are on a coordinate plane?
A. 1
B. 6
C. 4

Answers

Answer:

4

Step-by-step explanation:

if you're talking about quadrants on a coordinate plane then it is 4:)

coordinate planes are separated into four quadrants (qI,qII,qIII,qIV) shaped like a plus sign, 2 positive quadrants and 2 negative.

Answer:

4! They are called quadrants and quad means 4 <3

Step-by-step explanation:

answer this math question

Answers

Answer:

B) Vertically stretched by a factor of 3, shifted to the right by 1 unit, and shifted up 2 units.

Step-by-step explanation:

The basic transformations of a rational function as shown here can be modeled by:

[tex]f(x) = \frac{a}{b(x - h)} + k[/tex]

a = vertical stretch / compression.

b = horizontal stretch / compression.

h = horizontal shift.

k = vertical shift.

If there is a negative sign by a, then it is a vertical reflection.

If there is a negative sign by b, then it is a horizontal reflection.

_____________

As seen here, the transformations of

[tex]f(x) = 2 + \frac{3}{x–1} [/tex]

There is no b value because x - 1 is completely factored or it can just be thought of as 1. a or the vertical stretch is a factor of 3 because that is the numerator of the rational expression. There is a horizontal shift of 1 unit to the right because when x is subtracted by 1 in the rational expression, the root of x - 1 by itself is 1 greater than x. Lastly, there is a vertical shift up 2 units because that means all the values of the function will increase by 2 units which moves the whole function up 2.

solve for x and explain your answer

Answers

Step-by-step explanation:

(4x + 6) + (3x + 14) + 90= 180 sum of angles in an triangle theorem

7x + 20 = 90 Algebra

x=10 Algebra

I hope this helps!!!!

find the value of x in the triangle below​

Answers

Answer: 89

Step-by-step explanation:

A triangle always equal 180 degrees

so first add the measurements you know

50+41 = 91

now subtract 180 by that

180-91

and then that is your answer

89 degrees

√27 + √48 - √12 the correct answers for this please​

Answers

Answer:

5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

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

Simplifying the radicals

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[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]

[tex]\sqrt{12}[/tex] = [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

Then

[tex]\sqrt{27}[/tex] + [tex]\sqrt{48}[/tex] - [tex]\sqrt{12}[/tex]

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

= 5[tex]\sqrt{3}[/tex]

Answer:

[tex] \sqrt{27} + \sqrt{48} - \sqrt{12} \\ \sqrt{3 \times 3 \times 3} + \sqrt{2 \times 2 \times 2 \times 2 \times 3} - \sqrt{2 \times 2 \times 3} \\ 3 \sqrt{3} + 4 \sqrt{3} - 2 \sqrt{3} \\ 7 \sqrt{3} - 2 \sqrt{3} \\ \boxed{5 \sqrt{3}} [/tex]

5√3 is the right answer.

I need helppppppppppppppppppppppppppppppppppp what is 3000+3000 i will give you brainliest

Answers

Answer:

the correct answer is 6000

✧brainliest appreciated✧

whats 28*292 yo someone help

Answers

Answer:

The answer to 28 times 292 is 8,176

How many factors of 2020 have more than 3 factors? (As an example, 12 has 6 factors, namely 1, 2, 3, 4, 6, and 12.)

Answers

Answer:

[tex]10, 20, 202, 404, 505[/tex] and [tex]1010[/tex] has more than [tex]3[/tex] factors.

Step-by-step explanation:

Given: A number [tex]2020[/tex]

To find: How many factors of [tex]2020[/tex] have more than 3 factors?

Solution:

We have,

Factors of [tex]2020[/tex] are [tex]1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010[/tex]

Now, we have to find the number of factors that has more than [tex]3[/tex] factors. So, let us consider each factor of [tex]2020[/tex] one by one.

Factor of [tex]1: 1[/tex]

Factors of [tex]2: 1, 2[/tex]

Factors of [tex]4: 1, 2, 4[/tex]

Factors of [tex]5: 1, 5[/tex]    

Factors of [tex]10: 1, 2, 5, 10[/tex]

Factors of [tex]20: 1, 2,4, 5, 10, 20[/tex]

Factors of [tex]101: 1,101[/tex]

Factors of [tex]202: 1,2, 101, 202[/tex]

Factors of [tex]404: 1, 2, 4, 101, 202, 404[/tex]

Factors of [tex]505: 1, 5, 101, 505[/tex]

Factors of [tex]1010: 1, 2, 5, 10, 101, 202, 505, 1010[/tex]

Clearly, [tex]10, 20, 202, 404, 505[/tex] and [tex]1010[/tex] has more than [tex]3[/tex] factors.

Hence, [tex]10, 20, 202, 404, 505[/tex] and [tex]1010[/tex] has more than [tex]3[/tex] factors.

For any number n>1, is

(0.7 + 0.7i)n

a. Greater than 1?

b. Less than 1?

C. Equal to 1?

Answers

Using complex numbers, it is found that the correct option regarding the expression is:

a. Greater than 1.

What are complex numbers?

Complex numbers are numbers that have a real and an imaginary part, and are modeled by:

[tex]z = a + bi[/tex]

In which:

a is the real part.b is the imaginary part.

The magnitude of the number is:

[tex]|z| = \sqrt{a^2 + b^2}[/tex]

In this problem, the number is:

[tex](0.7 + 0.7i)n[/tex]

The smallest possible value is n = 4, hence:

[tex]z = 1.4 + 1.4i[/tex]

And the magnitude is:

[tex]\sqrt{1.4^2 + 1.4^2} = 1.98[/tex]

Which is greater than 1, hence option a is correct.

You can learn more about complex numbers at https://brainly.com/question/25572463

Answer: it’s b

Step-by-step explanation: the answer is .98 which is less than 1

Evaluate: 8+12 divided by 4-3 ???
please answer for Brainliest!!!!!!

Answers

Answer:

20

Step-by-step explanation:

(8+12)/(4-3)

20/1

20

Which type of symmetry does this figure have?

Answers

Answer:

reflection and rotation

Step-by-step explanation:

Rotational I’m pretty sure but go with your gut

Find the slope and y-intercept. Pleasee

Answers

Answer:

slope: -2

y-intercept: 6

Step-by-step explanation:

Answer:

[tex]slope=-2\\\\y-intercept=6[/tex]

Step-by-step explanation:

The slope is the change in the y-axis over the change in the x-axis. To find the slope, you need to move vertically from a given point. Once you are horizontal to another point, move over to it. Count the spaces between each:

Start at (0,6)Move down to (0,4). Since you moved down two spaces, use the value -2 to define the riseMove to the right to point (1,4). Since you moved to the right 1 space, use the value 1 to define the run.Insert the values into [tex]\frac{rise}{run}[/tex] → [tex]\frac{-2}{1}[/tex]Simplify → [tex]-2[/tex]

Therefore, the slope is -2.

The y-intercept is where [tex]x=0[/tex] and where the line crosses over the y-axis. The coordinate point where this happens is [tex](0,6)[/tex], so the y-intercept is 6.

:Done


Could someone help me it’s confusing me

Answers

answer to number 7 is 12.5 gallons

Answer:

x = 15

Step-by-step explanation:

If triangles are similar then they have a scale factor. That is the factor that is being multiplied to each of the sides to create a new set of sides.

We need to find the scale factor between Triangle ABC and Triangle DEF.

We can use Sides AC and DF to determine the scale factor.

It would be 27/9 = 3

So all the sides in triangle DEF are 3 times the length of those in triangle ABC

this means that the side with x cm is just 3 × 5 which is 15 cm.

HOPE YOU HAVE A NICE DAY! And hope you understood!

it says I need to find f(2)​

Answers

=2f it’s very simple good luck!

The figure below shows a rectangular prism and a cube:

A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 6 inches, the width is 5 over 6 inch, and its height is 1 and 2 over 6 inches. The cube has a side length of 1 over 6 inch.

How many such cubes are required to completely pack the prism without any gap or overlap?

Answers

Calculate the volume of each shape.

Volume of rectangle = 6 x 5/6 x 1 2/6 = 6 2/3 cubic inches.

Volume of cube = 1/6 x 1/6 x 1/6 = 1/216 cubic inch.

Now divide the volume of the rectangle by the volume of the cube:

6 2/3 / 1/216 = 1440

It will take 1.440 cubes to fill the rectangle.

Answer:

1,440

Step-by-step explanation:

a magazine contains twelve pages. you open up to a random page. what is the probability that the page number is nine or eleven​

Answers

Answer:

1/6

Step-by-step explanation:

2/12 can be simplified to 1/6

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

If there are 12 pages in a book, then there are 12 possible outcomes when one opens up a book. There are only two possibilities when a person opens up either 9 or 11. Probability is;

[tex]\frac{wanted-outcomes}{total-outcomes}[/tex]

Wanted-comes = 2

total-outcomes = 12

[tex]\frac{2}{12}\\\\=\frac{1}{6}[/tex]

The dot plot represents the scores of a group of students on an English test. If the dot
plot is converted to a box plot, the first quartile would be drawn at
, and the median would be drawn at

Answers

Answer:

the first quarter would be drawn before the median and the median would be drawn after the first quarter

Answer:

3,4

Step-by-step explanation:

Help please this is due very SOOON!!​

Answers

Answer:

3 and 1/3 pounds of seed

Step-by-step explanation:

1 bulk bluebonnet seed bag = 2/3 seeds

2/3 times 5 = 10/3

10/3 = 3.33333333333333333333333333333 (goes on forever)

or

10/3 = 3 1/3

If you know the area of a circle, how can you find its radius? Use the drop-down menus to explain your answer.

Answers

Answer:

down below

Step-by-step explanation:

the area of a circle is pi times radius times radius

in order to find the radius of a circle when you know the area, you need to do the area divided by 3.14. after you have done that, divide that number by 2

please give me brainliest!!

Answer:

Working backward

Step-by-step explanation:

Formula: A = πr²

All you have to do is work backwardly

If you have the area, replace the "A" with the area.

You can replace the π with "3.14"

Then divide the area by "3.14"

Then when you get your answer, divide your answer that you got by its square root --> √

Then when you do that....you get your radius....and from there on, you can check it by substituting.

Hope this helped!

Can someone help me with this??

Answers

Answer:

see explanation

Step-by-step explanation:

The domain D are the values of x, that is

D = { 3, 6, 12, 18 }

The range R are the values of y , that is

R = { 5, 7, 9, 10 }

The relationship is a function if each value of x in the domain maps to exactly one unique value of y in the range.

The relation is not a function as

6 → 5 and 6 → 10 ( that is 2 different values )

Domain ={3,6,12,18}
Range={5,7,9,10}
Function=No,because the x value repeats (6)

Hope this helps

Have a great day/night

what is 39% of 200?
i already know it’s 78, i just need a explanation of how i got it.

Answers

Answer:

200 x .39

Step-by-step explanation:

200 x .39= 78

Answer:

39 percent of 200 is the same as 39 per hundred of 200. We can therefore make the following equation:

39/100 = X/200

To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 200, and then finally divide the numerator by the denominator on the right side to get the answer.

39/100 = X/200

X/200 = 39/100

X*200/200 = 39*200/100

X = 7800/100

X = 78

The work above shows the long way to explain how to calculate 39 percent of 200 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula:

(Y * P)/100

In our problem "What is 39 percent of 200?", Y is 200 and P is 39:

(200 * 39)/100 = 78

And once again you see that the answer is 78.

Step-by-step explanation:

PLEASE HELP!!!!
5. Write the system of inequalities for the graph.

will mark brainliest and give you loads of points!!

Answers

The system of inequalities for the specific graph is

1. (one on top) y ≤ 1/2x + 6

2. (one on bottom) y > 1/2x -2

Hope this helped! :D

A triangle has sides with lengths of 9 feet, 13 feet, and 16 feet. Is it a right triangle?​

Answers

Step-by-step explanation:

no..................

What is BD?
A.10
B.12
C.13
D.14

Answers

Answer:

B.12

Step-by-step explanation:

I Hope This Helps :)

Answer:

B. 12

Step-by-step explanation:

Apply Pythagoras theorem in triangleCED where CD = 10 units!!

Find the slope from this equation -X-1=y ​

Answers

Answer:

-1

Step-by-step explanation:

Given the equation :

-x - 1 = y

From the general. Slope intercept equation :

y = mx + c

Where ;

m in mx = slope

Comparing the given equation with the general. Slope equation :

m in - x Wille the value of the slope ; that is the Coefficient of x

;

The Coefficient of x in the given equation is - 1

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