Simplify as fully as possible
4x²y^4 × (3xy²)² / 2x²y×4xy^9

Answers

Answer 1

Answer:

The answer is ;

9x/2y^2

Step-by-step explanation:

Here, we want to simplify as far as possible

Let us take all the numbers one after the other

All numbers on numerator and denominator;

(4 * 9)/(2 * 4) = 9/2

All x

(x^2 * x^2)/(x^2 * x) = x

All y

(y^4 * y^4)/(y * y^9) = y^8/y^10 = 1/y^2

So the complete answer is;

9/2 * x * 1/y^2

= 9x/2y^2


Related Questions

What is the measure of Angle HEG?

Answers

Answer:

angle HEG = 12 degrees

Step-by-step explanation:

A line is 180 degrees. Since there is a right angle there, you know that angleHEG and 78 added together is 90degrees

x + 78 = 90         >> subtract 78 from both sides

x = 12

angle HEG = 12 degrees

Answer:

18 degrees

Step-by-step explanation:

There is a little box on the left that indicates both angles together make a 90 degree angle so you just have to do 90 - 78 to get the answer.

you deposit $500 in an account that pays 5% annual interest compound continuously what is the balance after 3 years

Answers

Answer:

So I= p x r/100 x t

= 500 x 5/100 x 3

= 25 x 3

$75 interest

Balnce will be $575

y = -3x - 5 ||| y = 9x + 7
A. (1,2)
B. (1,-2)
C. (-1,2)
D. (-1,-2)
E. No solution
F. Infinite solutions
PLEASE HELP ITS DUE TODAY

Answers

Answer:

d. (-1,-2)

Step-by-step explanation:

-3x-5=9x+7

-5=12x+7

-12=12x

-1=x

y=-3x-5

y=-3(-1)-5

y=3-5

y=-2

What is the range of the cluster in the scatter plot?

A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000

Answers

Answer:

b

Step-by-step explanation:

answer :


b


hope this helped

2x+3x+5=x+25 taking a math quiz

Answers

Answer: x=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x+5=x+25

Or,6x=30

Or,x=5

Hey guys ( or gals ) I have no idea what to do please help me.

Answers

Answer:

Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.

You would have to find a GCF (greatest common factor) and multiply it out of the radical.

ex.

[tex]\sqrt{6}[/tex] = 2 x 2 x 2

when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2

2[tex]\sqrt{2\\}[/tex]

so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.

[tex]\sqrt{11}[/tex]

is an irrational number, so it might fall into 3.3 if turned into a decimal.

Step-by-step explanation:

The population of an endangered bird was about 230,000 in 2001. The equation y= 200,000(0.75)^x describes the bird la population, let x represent the number of years since 2001. Using the equation, how many birds will there be in 2021?

Answers

Answer:

634

Step-by-step explanation:

The population of the birds in 2001 = 230000

From 2001 to 2021 = 20 years

Given:

y = 200000[tex](0.75)^{x}[/tex]

where x is the number of years since 2001.

The population of the birds after 20 can be determined by;

y = 200000[tex](0.75)^{20}[/tex]

  = 200000(3.171211939 x [tex]10^{-3}[/tex])

  = 634.2424

y = 634

Thus, there would be 634 endangered birds in 2021.

simplify if possible 3t+2g-t-3g

Answers

Answer:

2t-g

Step-by-step explanation:

Collect like terms

3t-t= 2t

2g-3g= -g

2t-g

4+1/4 x + 3 = 10 pls help me​

Answers

Answer:

= 1 2

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Add the numbers

Subtract  7  from both sides of the equation then Simplify

I don’t know how to do this can someone help?

Answers

Answer:

i think its B cause 4 was the radius

Step-by-step explanation:

Simplify the expression 5 to the power of 3 x 5 to the power of -5.

Answers

Answer:

5^-2

Step-by-step explanation:

5^3 * 5^-5

~Use exponent rule [ x^y * x^z = x^y+z ]

5^3+(-5)

~Simplify

5^-2

Best of Luck!

Help! Show work! Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.

Answers

Answer:

a= 8 and PQ= 28

Step-by-step explanation:

since triangle XYZ and triangle PQR are congruent, we will write the equation like this:

PQ=XY

3a+4= 5a—12

3a—5a= —12—4

—2a= —16

a= 8

SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ

PQ= 3a+4

PQ= 3(8)+4

PQ= 24+4

PQ= 28

An architect draws a plan for a wheelchair ramp on the plan, the ramp is 2cm high and 24cm long what might the dimensions of the actual ramp be (use equivalent ratios)

Answers

Answer:

[tex]Height = 30cm[/tex]

[tex]Length = 360cm[/tex]

Step-by-step explanation:

Given

Scale Measurement

[tex]Height = 2cm[/tex]

[tex]Length = 24cm[/tex]

Required

Determine the possible actual measurement

First, calculate the equivalent ratio.

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{24cm}{2cm}[/tex]

[tex]Ratio = 12[/tex]

To do this, we pick a scale factor.

Assume the scale factor is 15.

The actual measurement will be:

[tex]Height = 2cm * 15[/tex]

[tex]Height = 30cm[/tex]

[tex]Length = 24cm * 15[/tex]

[tex]Length = 360cm[/tex]

When the scale ratio is calculated, we have:

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{360cm}{30cm}[/tex]

[tex]Ratio = 12[/tex]

Note that both have the same equivalent ratios of 12.

So, whatever the scale ratio you use, the equivalent ratio will be the same

Is 15625/1000000 between -1 and 0??

Answers

Answer:

no

Step-by-step explanation:

It would be like 0.(something) meaning it would be more than 0

please help me with triangle angles. due today !

Answers

Answer:

12

Step-by-step explanation:

8x-1+3x+4+3x+9=180

14x+12=180

14x=180-12

x=168/14

x=12

Answer:

8x-1+3x+9+3x+4=180

8x+3x+3x=180+1-9-4

14x=168

x=12

Step-by-step explanation:

Simplify: 3x + 4y + 7x - 2y

Answers

Answer:

10x+2y

Step-by-step explanation:

combine like terms

Answer:

Step-by-step explanation:

3x + 4y + 7x - 2y=3x + 7x +4y - 2y

10x + 2y

The tip for excellent service in a restaurant is $25 for every $100 of the meal. What is the total bill (cost of meal plus tip) for a $75 meal?

A. $25

B. $93.75

C. $125

D. $100

Answers

the answer is B. 93.75

3(x-2)+1=

I have to turn this in, in 10 minutes. Help.

Answers

Answer:

3x-6+1

Step-by-step explanation:

I know algebraaaaaa

X= 3/5, 3x-6+1, 3x-5, 3x=5, x=3/5

Which number line represents the solutions to \X – 5| = 1?

Answers

Answer:

Second number line represents the [X-5]=1.

Step-by-step explanation:

Given : [X-5]=1 .

To find : Which number line represents the solutions to [X-5]=1.

Solution : We have given that [X-5]=1.

We can se the value x-5 is inside the modulus it may be positive or negative.

So, we will do it by both cases.

1) (x - 5) = 1

On adding by 5 both sides.

x = 1+5 = 6

x = 6.

2) if -(x-5) = 1

remove parenthesis

-x +5 = 1

On subtracting by 5 both side

-x = -4

On dividing by -1 both side

x = 4.

So , x = 4, 6.

Therefore , the second number line represents the [X-5]=1.

Which statements are true about the function f(x) = –|x| – 2? Check all that apply.

The parent function and this function open in the same direction.
The parent function and this function have the same range.
The parent function and this function have the same domain.
The range of the function is all real numbers less than or equal to –2.
The domain of the function is all real numbers greater than or equal to –2.
There are no values from the domain of the parent function that are also in the domain of this function.

Answers

Answer:

a c d f

Step-by-step explanation:

Answer:

its (c) and (d)

Step-by-step explanation:

what is the perimeter of nadia 's square

Answers

Answer:

Part A: 100

Part B: 625

Step-by-step explanation:

Part A equation: 25 x 4 = 100

Part B equation: 25 x 25 = 625

John's bank account had $1,320 at the end of November. In December, he bought $645 worth of
groceries and spent $225 on his mom's birthday present. Luckily, he earned $350 mowing lawns and $50
for good grades. How much money does John have at the end of December?

Answers

Answer:

850 but im not sure lol

Step-by-step explanation:

645 + 225 = 870

1,320 - 870 = 450

450 + 350 = 800

800 + 50 = 850


Write each of these ratios in their
simplest form.
A) 3:9 B) 12:36 C) 13:39 D) 71:213 E) 142:213 F) 38:57 G) 33:44 H) 31:42

Answers

Answer:

A) 3:9 => 1:3

B) 12:36 => 1:3

C) 13:39 => 1:3

D) 71:213 => 1:3

E) 142:213 => 2:3

F) 38:57 => 2:3

G) 33:44 => 3:4

H) 31:42 => 31:42 or 21:42 => 1:2

Step-by-step explanation:

The simplest form of the ratios are as follows:

A) 3:9

Dividing the ratio by 3

1:3

B) 12:36

Dividing the ratio by 12

1:3

C)13:39

Dividing the ratio by 13

1:3

D) 71:213

Dividing the ratio by 71

1:3

E) 142:213

Dividing the ratio by 71

2:3

F) 38:57

Dividing the ratio by 19

2:3

G) 33:44

Dividing the ratio by 11

3:4

H) 31:42

The ratio is already in simplest form as 31 and 42 don't have a common multiple.

Or it might be mistakenly typed 31 instead of 21

Then the simplest form will be:

21:42

1:2

Hence,

A) 3:9 => 1:2

B) 12:36 => 1:3

C) 13:39 => 1:3

D) 71:213 => 1:3

E) 142:213 => 2:3

F) 38:57 => 2:3

G) 33:44 => 3:4

H) 31:42 => 31:42 or 21:42 => 1:2

A farmer wants to fence in a square pasture for his sheep. The length of one side of the pasture is represented by ^2^3. What term represents the area of the pasture?

Answers

Answer:

4x^6

Step-by-step explanation:

Area of the square pasture = L² where:

L is the

length of one side of the pasture

Given

L = 2x³

Area of the pasture = (2x³)²

Area of the pasture =2x³•2x³

Area of the pasture = 4x^{3+3}

Area of the pasture = 4x^6

Hence the area of the pasture is 4x^6

Juan deposits $1,500 into a savings account that pays 4.5% interest compounded annually. If Juan makes no deposits or withdrawals, how much money will be in his savings account after 3 years?

Answers

Answer:

$1711.5

Step-by-step explanation:

Step one

given data

Principal = $1500

interest rate= 4.5% = 0.045

time = 3 years

Step two:

The compound interest expression is

[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]

15 * 15 is?
YYYYYYYYYYYYYYYYYYYYYYY

Answers

Answer:

225 I just checked tell me if you're right

Answer:

15*15 = 225

15*15 is the same as [tex]15^{2}[/tex]

if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.

no matter how ya do it, 15 *15 is 225

Step-by-step explanation:

2 3/8 x 3 3/4 divided by 2 2/3

Answers

Answer:

57/32

Step-by-step explanation:

171/32 divided by 2 2/3

Please please help please please ASAP please

Answers

Answer:

14.52

Step-by-step explanation:

With reference angle 32°

perpendicular (p) = 9

base (b) = x

Now

Tan 32° = p / b

0.62 = 9 / x

x = 9 / 0.62

x = 14.52


Divide 405 into the ratio of 3:12

Answers

405 divided by 15= 324 and 324 and 3x27=81 ; answer should be 324

if the product of two number is 10 and the sum is 7 ,then the longest of the two number is​

Answers

Answer:

5 units

Step-by-step explanation:

Step one:

Given data

Le the first number be x

and the second number be y

So

x*y= 10-----------------1

and

x+y= 7-----------------2

from eqn 1

x= 10/y

put x= 10/y in eqn 2

[tex]10/y+y= 7\\\\10/y= 7-y[/tex]

cross multiply we have

[tex]10=y(7-y)\\\\10=7y-y^2[/tex]

rearrange

[tex]y^2-7y+10=0[/tex]

the factors of the quadratic expression are

-5 and -2

[tex]y^2-5y-2y+10= 0\\\\y(y-5)-2(y-5) =0\\\\y-2=0\\\\y= 2\\\\y-5= 0\\\\y=5\\\\[/tex]

The longest side is 5 units

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