What are the steps to (5xy^3)^2(xy)^4?

Answers

Answer 1

Answer:

25x^6 y^10

Step-by-step explanation:

Simply: (5xy^3)^2: 25x^2 y^6

25x^2 y^6 (xy)^4

Apply exponent rule: (a * b)^n = a^n b^n

(xy)^4 = x^4 y^4

25x^2 y^6 x^4 y^4

Simply: x^2 x^4: y^10

25x^6 y^6 y^4

Simply: y^6 y^4: y^10

25x^6 y^10


Related Questions

Please help ! Use 1st and 2nd differences to determine if the following table is linear, quadratic or neither.

Answers

Answer:

Quadratic

Step-by-step explanation:

anytime the Y values repeat in that fashion, it's going to be a parabola aka quadratic function

Help PLease this is another question

Answers

Answer:

A.

Step-by-step explanation:

The way the arrow faces, show whether the sign is greater or lesser

In Mona’s new video game she earns 30 points for each fish caught and 80 points for each octopus captured, but she loses 15 points every time she captures a crab. Which expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs? 95 (x y minus z) 110 (x y) minus 15 z 30 x 80 y minus 15 z 30 x 80 y minus 15 z.

Answers

The expression represents the total number of points Mona will earn if she catches x fish, y octopus, and z crabs is 30x + 80y - 15z.

What is an expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given to us

30 points for fish

80 points for Octopus

-15 points for crab

As it is given in the problem that Mona catches x number of fishes, y number of octopuses, and z number of cabs. therefore,

Points earned through fishes [tex]=x \times 30 = 30 x[/tex]

Points earned through Octopus [tex]=y \times 80 = 80 y[/tex]

Points earned through crabs[tex]=z \times -15= -15 z[/tex]

Total points earned by Mona in the video game

= Points earned through fishes, octopus, and crabs

[tex]=30x + 80 y -15z[/tex]

Hence, the expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs is 30x + 80y - 15z.

Learn more about Expression:

https://brainly.com/question/13947055

In an earlier lesson, we saw this graph that shows the percentage of all garbage in the U.S. that was recycled between 1991 and 2013.

1) Sketch a linear function that models the change in the percentage of garbage that was recycled between 1991 and 1995. For which years is the model good at predicting the percentage of garbage that is produced? For which years is it not as good?

2) Pick another time period to model with a sketch of a linear function. For which years is the model good at making predictions? For which years is it not very good?

Answers

Answer:

here we can use mathematics to make an equation but according to the questions rewarded marks we can only determine an sketch of best fit line

and not good in 1993 (predicted as graph is less accurate)

other period is 1995 to 2005

just somewhere you can see an line straight

If consumers always spend 15 percent of their income on food, then the income elasticity of demand for food is
O a. 0.15
O b. 1.00
O C. 1.15.
O d. 1.50.
O e. none of the above.

Answers

The income elasticity of demand for food is 1.

What is income elasticity of demand?

The income elasticity of demand measures how quantity demanded changes when income changes.

income elasticity of demand = percentage change in quantity demanded / percentage change

When income elasticity of demand is one, it means that the good has a constant demand regardless of changes in income.

To learn more about elasticity of demand, please check: https://brainly.com/question/18850846

what is area of ths shape

Answers

The area is 114 yards

Step-by-step explanation:

(10x9) + (4x6)

Answer:

3600

Step-by-step explanation:

multiply them all i believe im wrong tho i dont know

Can someone please help

Answers

Answer:

10.) If you buy all larger cans (aka the 7-gallon cans), you would have saved approx. $30.21

9.) Seth would need a score of 95% in order to average an 80%

Step-by-step explanation:

10.) It costs $15.50 per 5-gal. If you want to buy 45 gallons, it would cost you $139.50 if you bought 5-gallon cans.

It costs $17.00 per 7-gallon. If you want to buy 45 gallons, it would cost you $109.29 if you bought 7-gallon cans.

Now, let's compare prices. Buying 45 gallons worth of 7-gallon cans is less expensive by.... (139.50 - 109.29 = 30.21)

Therefore, you saved $30.21.

9.) An average is done by adding up all the numbers and dividing it by how many numbers you added it by. Let's write an equation to make things easier. So far, we don't know the score he needs to get on his fourth test so let's make it a variable x.

(82 + 68 + 75 + x) / 4 = 80

Let's solve for x.

(82 + 68 + 75 + x) / 4 = 80    *Multiply both sides by 4

82 + 68 + 75 + x = 320     *Add like terms

225 + x = 320    *Subtract 225 from boths to get x on one side

x = 95

Simplify 6 x − x + 5 y − 2 y

Answers

Answer:

5x + 3y

Step-by-step explanation:

6x − x + 5y − 2y

(6x − x) + (5y − 2y)

5x + 3y

Hope that helps!

Answer:

[tex]5x+3y[/tex]

Step-by-step explanation:

Given the following question:

[tex]6x-x+5y-2y[/tex]

In order to find the answer, we combine like terms by adding/subtracting terms with similar variables.

[tex]6x-x+5y-2y[/tex]
[tex]6x-x=5x[/tex]
[tex]5y-2y=3y[/tex]
[tex]5x+3y[/tex]

Hope this helps.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer: A

Step-by-step explanation:

There are 8 ticks until the whole number 1. It is on the 2nd tick. 2/8

Answer:

A. 2/8

Step-by-step explanation:

2/8 = 0.25

6/8 = 0.75

8/2 = 4

The only one that makes the most sense is 2/8 or 0.25

Look at the number lines in the pictures

Find the values of x and y. The diagram is not to scale.
A.) x=60, y=83
B.) x=83, y=60
C.) x=83, y=62
D.) x=42, y=60

Answers

Answer:

[B] x = 83, y = 60

Step-by-step explanation:

Find the value of x

we know that

[tex](x-3)=80[/tex]  -------> by corresponding angles, because the given lines are parallel

Solve for x

[tex](x-3)=80[/tex]

[tex]x=80+3[/tex]

[tex]x=83[/tex]

Find the value of y

we know that

[tex]x-3+42+(y-2)= 180[/tex]

substitute the value of x and solve for y

[tex]83-3+42+(y-2)= 180[/tex]

[tex]80+42-2+y=180[/tex]

[tex]120+y=180[/tex]

[tex]y=180-120[/tex]

[tex]y=60[/tex]

Therefore, the answer is [B] x = 83, y = 60

[RevyBreeze]

Please help me with this question

Answers

Answer:

the first option

because when x is increased by 50 and y is decreased by 50 the equation goes thus

x+ 50 + y - 50 = 600

and + 50 -50 = 0

therefore x + y = 600

How many solutions does the following equation have?
53 +8 – 7x = -4x +1
=
Choose 1 answer:
А
No solutions
B
Exactly one solution
С
Infinitely many solutions

Answers

Answer:

One solution

Step-by-step explanation:

So long as you don't have any term x² or to a power higher than 2, the equation will have 1 solution only.

If you solve the equation you end up with 20=x
So the answer is B, Exactly one solution

Isabel deposits $6,000 into an account that earns 1. 5% interest compounded monthly. Assuming no more deposits and no withdrawals are made, how much money is in the account after 4 years? Compound interest formula:mc002-1. Jpg t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years $6,360. 00 $6,370. 78 $7,180. 89 $10,892. 13.

Answers

There is $6,370. 78 money is in the account after 4 years.

Given

Isabel deposits $6,000 into an account that earns 1. 5% interest compounded monthly.

Compound interest

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

The amount after 4 years is calculate by following formula;

[tex]\rm V(t)= P(1+\dfrac{r}{n})^{nt}[/tex]

Where t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years.

Substitute all the values in the formula;

[tex]\rm V(t)=6,000\times (1+\dfrac{0.015}{12})^{12\times 4}\\\\V(t)=6,370.78[/tex]

Hence, there is $6,370. 78 money is in the account after 4 years.

To know more about compound interest click the link given below.

https://brainly.com/question/3068001

Answer:

it's b $6,370.78

Step-by-step explanation:

How many solutions are there? And what is the answers?

Answers

Answer:

x = 4 y = 3

Step-by-step explanation:

4 + 3 = 7

4 - 3 = 1

There is only one answer

in the computer lab there are 14 apple computers and 16 PC computers
approximately what percent of the computer are PCs

Answers

Answer:

14 + 16 = 20

16/20

= 80/100

80 %

Step-by-step explanation:

Answer:

Find the percentage of PCs

Total is 14+16=30 computers

PCs are 16

so, 16/20×100%= 80%

What is the answer to (-9x10^-14)x(-3x10^7)

Answers

Answer:

2.7×10−6

Step-by-step explanation:

I did this on a calculator I have no idea what the step by step is

WILL GIVE BRAINLY IF CORRECT!

Answers

10 3/4

Work:

105/4 is cooper if expanded

124/8 is other

210/8-124/8=86/8

10 3/4

Please like

First, convert these two mixed fractions into improper fractions.

You can do that by following these steps:

Multiply the outside number by the number in the denominator

Add the product to the number in the numerator

5[tex]\frac{1}{4}[/tex] = [tex]\frac{21}{4}[/tex]

3[tex]\frac{7}{8}[/tex] = [tex]\frac{31}{8}[/tex]

Now, convert these fractions so that they share the same denominator. 4 and 8 share the same factor of 8. Multiply the numerator and denominator of [tex]\frac{21}{4}[/tex] by 2 so that the denominator becomes 8.

[tex]\frac{21}{4}[/tex] = [tex]\frac{42}{8}[/tex]

Now find how many inches of string each person has by using multiplication:

Sophie has [tex]\frac{42}{8}[/tex] × 5 = [tex]\frac{210}{8}[/tex] inches total

Cooper has [tex]\frac{31}{8}[/tex] × 4 = [tex]\frac{124}{8}[/tex] inches total

To find how much more inches Sophie has, subtract the two fraction from each other:

[tex]\frac{210}{8} - \frac{124}{8}[/tex] = [tex]\frac{86}{8}[/tex]

Simplify the fraction:

Sophie has 10[tex]\frac{6}{8}[/tex] or 10[tex]\frac{3}{4}[/tex] more inches than Cooper

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:) ​

Answers

Answer:

uh

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

please help 20 pointsssss

Answers

Answer 6.25

Step by step explanation: pf toy want to find the perimeter or area of the square you got to multiply its length and its height 1 3/7 x 4 3/8=6.25 OR 6 1/4

The actual length of a table is 45 [tex]\frac{1}{2}[/tex] inches. Harriet estimates the length of the table and finds her percent error to be less than 4%.

What range of values represents Harriet's estimated length?

Enter your answers as decimals or mixed numbers in simplest form by filling in the boxes.

Give me answer ASP ( I will give the first person that's right all my points)

Answers

Answer: 43.68 and 47.32

Step-by-step explanation: I took the test

Solve the system of equations -x + 2y = –2 and 6x – y = -43 by combining
the equations.

Answers

Answer:

{x,y}={-8,-5}

Step-by-step explanation:

/ Solve equation [2] for the variable  y

 [2]    y = 6x + 43

// Plug this in for variable  y  in equation [1]

  [1]    -x + 2•(6x+43) = -2

  [1]    11x = -88

// Solve equation [1] for the variable  x

  [1]    11x = - 88

  [1]    x = - 8

// By now we know this much :

   x = -8

   y = 6x+43

// Use the  x  value to solve for  y

   y = 6(-8)+43 = -5

Solution :

{x,y} = {-8,-5}

hope this helps!

Work out the missing numbers:
a) 2.8 x ? = 3.92
b) ? x 1.7 = 2.21

Answers

Answer:

a) [tex]\sf x = 1.4[/tex]   b) [tex]\sf x = 1.3[/tex]

Let the missing numbers be x,

solving steps:

a)

[tex]\sf 2.8 * x = 3.92[/tex]

[tex]\sf x = \frac{3.92}{2.8}[/tex]

[tex]\sf x = 1.4[/tex]

b)

[tex]\sf x * 1.7= 2.21[/tex]

[tex]\sf x = \frac{2.21}{1.7}[/tex]

[tex]\sf x = 1.3[/tex]

(-3,-2) and (x,6); slope: -8/5

Answers

Answer:

[tex] slope = \frac{6 - ( - 2)}{x - ( - 3)} \\ \frac{ - 8}{5} = \frac{6 + 2}{x + 3} \\ - 8(x + 3) = 5(6 + 2) \\ - 8x - 24 = 5(8) \\ - 8x - 24 = 40 \\ - 8x = 40 + 24 \\ \frac{ - 8x}{ - 8} = \frac{64}{ - 8} \\ x = - 8[/tex]

I need help with number 12

Answers

Answer:

1. y = 3x - 5

2. y = -4x + 2

3. y = -3x - 4

4. y = -3x - 6

Step-by-step explanation:

These questions are pretty easy. The only thing you have to do, to turn the equation into slope intercept form, is to solve for y in each equation

All the equations are in standard form, and we need to rewrite them in slope intercept form, so here are the steps

For the first equation: -3y + 9x = 15

We solve for y in the equation

-3y + 9x = 15

1. Subtract 9x from each side to isolate y

-3y + 9x - 9x = 15 - 9x

2. Simplify

-3y = 15 - 9x

3. Divide each term by -3 to get y by itself.

-3y/-3 = 15/-3 -9x/-3

4. Simplify

y = 3x - 5

For the second equation, we do the same proces, we just solve for y
−4x − y + 2 = 0

Step 1: Add 4x to both sides.

−4x − y + 2 + 4x = 0 + 4x

−y + 2 = 4x

Step 2: Subtract 2 to both sides.

−y + 2 − 2 = 4x − 2

−y = 4x − 2

Step 3: Divide both sides by -1

-y/-1 = 4x/-1 -2/-1

y = -4x + 2

For the third equation, we do the same thing too

2y + 6x = -8

Step 1: Subtract 6x to both sides.

6x + 2y − 6x = −8 − 6x

Switch -8 and -6x

2y = −6x − 8

Step 2: Divide both sides by 2.

2y/2 = -6x/2 -8/2

y = -3x - 4

And for the last equation, we do the same thing we did in the second equation

-6 - 3x - y = 0

Step 1: Add 3x to both sides.

−3x − y − 6 + 3x = 0 + 3x

−y − 6 = 3x

Step 2: Add 6 to both sides.

−y − 6 + 6 = 3x + 6

−y = 3x + 6

Step 3: Divide both sides by -1.

-y/-1 = 3x/-1 + 6/-1

y = -3x - 6

What is the value of X?


A. 5

B. 2.5

C. 7.5

D. 10

Answers

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

2

what is the square root of 13?​

Answers

Answer:

[tex]\sqrt{13} = 3.605[/tex]

Complete the inequality for this graph. y < ?​

Answers

Answer:

y < 2

Step-by-step explanation:

we can see that the area below y - 2, is shaded. as the line is dotted we shall use " < " sign. go two upwards from origin and that's why our value of y is 2.

The horizontal dotted line is located at y = 2 and the colored area is below that line, so the solution would be less than 2.


Answer: y < 2

Plss someone helppp and explain if you can

Answers

Step-by-step explanation:

ab and dc are parallel lines and ad is a traversal

angle aef = angle edc (corresponding angles)

180-13x-57 = 5x-3

183-57 = 18x

126= 18x

x= 7

angle aef =180-13*7-57= 32

help me please, will give brainliest​

Answers

Step-by-step explanation:

Mark me as brilliant plzzz

When x=4

1. Substitute the x into the equation.

y=3(4)+10

2. Solve for y

y=3(4)+10

y=12+10

y=22

When x=5

1. Substitute the x into the equation.

y=3(5)+10

2. Solve for y

y=3(5)+10

y=15+10

y=25

When x=6

1. Substitute the x into the equation.

y=3(6)+10

2. Solve for y

y=3(6)+10

y=18+10

y=28

Please Help I'm Stuck with this

Answers

Answer:

a) 4 cm

b) 5 cm

Step-by-step explanation:

a) Area of a rectangle = width x length

From inspection, the width of this rectangle is 2 cm and the length is 8 cm

area of the rectangle = 2 x 8 = 16 cm²

A square has 4 sides of equal measure.

Let the side of a square = [tex]x[/tex]

Therefore, the area of a square = [tex]x \times x = x^2[/tex]

If the square has the same area as the rectangle, then

[tex]x^2=16[/tex]

Square root both sides:  [tex]x = \sqrt{16} =\pm4[/tex]

Since the length of a side cannot be negative, [tex]x=4[/tex] only

So the side length of the square = 4 cm

b) Perimeter of a rectangle = 2 x length + 2 x width

⇒ perimeter of the rectangle = (2 x 8) + (2 x 2) = 20 cm

Since the side lengths of a square are equal, and a side length = [tex]x[/tex]

Perimeter of a square = 4 x [tex]x[/tex] = 4[tex]x[/tex]

If a square has the same perimeter as the rectangle, then

[tex]4x=20[/tex]

Divide both sides by 4:  [tex]x=20 \div 4 = 5[/tex]

side length of this square = 5 cm

Answer:

a)4cm  b)5cm

Step-by-step explanation:

a)

[tex]Solution,\\\\Length(l)=8cm\\\\Breadth(b)=2cm\\\\Now,\\\\Area=l*b\\\\Area=8cm*2cm\\\\Area=16cm^{2}[/tex]

Area of the rectangle is 16cm².

When,

Area of the rectangle is equal to the area of the square then,

Area of square=16cm²

Now,

→Length=√Area

→Length=√16cm²

→Length=4cm


b)

[tex]Solution,\\\\Length(l)=8cm\\\\Breadth(b)=2cm\\\\Now,\\\\Perimeter=2(l+b)\\\\Perimeter=2(8cm+2cm)\\\\Perimeter=2(10cm)\\\\Perimeter=20cm[/tex]

The perimeter of rectangle=20cm

When,

The perimeter of the rectangle is equal to the perimeter of the square then,

The perimeter of square=20cm

Now,

Length=Perimeter/4

Length=20cm/4

Length=5cm

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