Simplify (y²z⁴)³ and explain answer

Answers

Answer 1

Answer:

y^6 z^12

Step-by-step explanation:

When the bases are the same that means that the powers on the inside can be multiplied by whatever is outside.

Hope this helps :)


Related Questions

In the past month, Raina rented 6 video games and 1 DVD. The rental price for each video game was $2.25 . The rental price for the DVD was $3.80 . What is the total amount that Raina spent on video game and DVD rentals in the past month?

Answers

Answer:

$17.30

Step-by-step explanation:

6 (video games) multiplied by $2.25 equals $13.50

or

(2.25 + 2.25 + 2.25 + 2.25 + 2.25 + 2.25) = 13.50

and

1 (DVD) is $3.80

$13.50 + $3.80 = $17.30

$17.30

solve the following equation and verify your answer.
[tex] \\ [/tex]
[tex] \huge \purple{ \frac{3x - 1}{5} - \frac{x}{7} = 3}[/tex]

Answers

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3

Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions

7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side

21x - 7 - 5x = 105

16x - 7 = 105 ( add 7 to both sides )

16x = 112 ( divide both sides by 16 )

x = 7

To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution

[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]

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

= [tex]\frac{20}{5}[/tex] - 1

= 4 - 1

= 3 = right side

Then x = 7 is the solution to the equation

Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression represents the total amount of money Mike earned for both weeks?


1.50x

1.50 x

1.05x

1.05 x

2.00x

2.00 x

2.05x

Answers

Answer:

1.05x I think

Lisa paint 3/8 of the room and Madison paint 1/5

how much more of the room did Lisa paint

Answers

Answer:

[tex]\huge\boxed{\frac7{40}\ more\ of\ the\ room}[/tex]

Step-by-step explanation:

To solve this problem, you need to find the common denominator.

To do this, simply multiply the first fraction by 5/5, and the second by 8/8 to get:

[tex]\frac15=\frac{1}{5}*\frac{8}{8} = \frac{1*8}{5*8} = \frac{8}{40}[/tex]

[tex]\frac38=\frac38*\frac55=\frac{3*5}{8*5}=\frac{15}{40}[/tex]

Thus, Lisa painted 7/40 more of the room than Madison.

Hope it helps :)

Can system of equations be linear and nonlinear

Answers

Systems of equations are linear

what is the solution
3x-1/4 = -5/11
(3x-1)11 = -5(4)
33x-11 = -20
+11 = +11
33x = - 9
33x/33 = -9/33
x = -3/11

Answers

Answer:

3x-1/4=-5/1111 (3x-1)=4 (5)33x-11=2033x=20+1133x=31x=31/33x=?


It costs $10 to rent a canoe and $5.50 to use the canoe for an hour. You have $21. Write an equation that represents the number h of hours you can rent the canoe.

Answers

Answer:

21 = 10 + 5.5h

Step-by-step explanation:

Total cost = initial cost + hourly cost

21 = 10 + hourly cost

hourly cost = 5.5 per hour, or 5.5 * h as we add 5.5 for each hour

21 = 10 + 5.5h

Answer:

Step-by-step explanation:

$10 + $5.50h ≤ $21

Let h stand for the hours the canoe is rented.

Fixed cost = $10, regardless of h.

$5.50h for the cost of n hours of rental.

Total cost = $10 + $5.50h

The total cannot exceed $21, legally.  

So we should write:

$10 + $5.50h ≤ $21  

If $10 + $5.50h ≥ $21  then ║║║║║║║

Please Help!!!!!! Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. On the fourth roll, he rolls his second "3”. Tom says that the die is loaded and that each outcome is not equally likely. Is Tom correct here? If you think Tom is incorrect, how many rolls should Tom make until he sees each number occurring about 1/6 of the time?

Answers

Answer:

I think he is correct.

Step-by-step explanation:

I think he is correct because when you roll a die, it is 10 to 1 for the die to get the number you want.

Tom says that the dices outcome is NOT equally likely. When actually the outcome is equally likely.

On dice no two number repeat twice. So in this case every time he rolls the die he has the same chance of getting 3 than he does any other number.

So Tom is incorrect.

And for how many times it will take Tom for all the numbers to occur is all by luck and chance.

But each number is equally likely to come.

Sheila has 11
1
2
pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1
1
4
pounds. How many containers does she need? Complete the explanation.

Containers are counted in
mixed
numbers, so she will need containers.

Answers

Answer:

She will need 10 containers

Step-by-step explanation:

Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.

I hope this helps have a great day :)

An air-conditioning and heating company has a fixed monthly cost of 4,000. Furthermore, each service call costs the company 25 .

Answers

all you need to do is 4000÷25=160

The linear equation in slope-intercept form is: y = 25x + 4000.

The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:

y = mx + b

m represents the slope of the line, which represents the cost per service call.

Since each service call costs the company $25, the slope (m) is 25.

b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.

Therefore, the linear equation in slope-intercept form is: y = 25x + 4000

Learn more about Linear Equation here:

https://brainly.com/question/32634451

#SPJ2

I need this points for algebra help please

Answers

Answer:

ur mom

Step-by-step explanation:

lol

which of the following is would most likely negatively affect a person’s net worth

Answers

Step-by-step explanation:

Net Worth

Your assets are anything of value that you own that can be converted into cash. Examples include investments, bank and brokerage accounts, retirement funds, real estate and personal property (vehicles, jewelry, and collectibles)—and, of course, cash itself. Intangibles such as your personal network are sometimes considered assets as well. Your liabilities, on the other hand, represent your debts, such as loans, mortgages, credit card debt, medical bills, and student loans. The difference between the total value of your assets and liabilities is your net worth.

Finley is making a pancake recipe
that calls for 3 cups of flour. He uses
13 cups of white flour and the rest will
be wheat flour. How many cups of
wheat flour will Finley need?

Answers

arkadaşım bilemiyorum

find the midpoint of the line segment joining the two points (-1,-1) and (-5,4)

Answers

Answer:

(-3, 1.5)

Step-by-step explanation:

equation: M = (x1+x2)/2 , (y1+y2)/2

So, plug it in.

(-1-5)/2 , (-1+4)/2

-3 , 1.5

so, x = -3 and y = 1.5

Nine cereal bars are shared equally by 4 students. How many does each student receive?

Answers

Answer:

each student gets 2 bars and a quarter of one (2.25 or 2 1/4)

Step-by-step explanation:

Davina travelled 500 miles in 7 days. What is the average
distance travelled each day?

Answers

71.42 and to be exact it’s 71 miles
71 is the answer
Answer:

71 miles

Step by step explanation:

500:7 and u will have the average distance travelled each day

PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Find the solution of the system of equations.

x-y=-3
-8x+y=45

Answers

Y=-6
X=-3
I hope it’s right

8) The height of a stack of CD cases is Proportional to the number of CDs in the stack. A stack of 6 CDs is 66mm high.* Find the unit rate**

a) How high is a stack of 10 CDs?


b) Write an equation that relates the height (y) of a stack of CDs and the number of CD cases(x) in the stack.

please help I will mark your answer as brainliest

Answers

Answer:

a) 110 mm

b) y = 11x

Step-by-step explanation:

The unit rate for  6 CD at 66 mm is

66mm / 6 CD  = 11 mm per CD

a) 10 CD's

66 mm      x mm

---------  = ------------

6 CD            10 CD

Using cross products

66 * 10 = 6x

660 = 6x

Divide by 6

660/6 = x

110 mm for 10 CD's

b)   y =  11 x

We use the rate and multiply by the number of cases to get the height

Help Please !! I Need To Have This Turned In By The Next Hour , Anybody Know It !?

Answers

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

Because lines are parallel you can use certain rules to determine the relationship of angle 1 & 2.

(A1 & A2 for short)

With the C shape within the parallel lines we can guarantee that the sum of A1 and A2 is equal to 180.

We can also assume A2 is less than 90° as the lines are parallel and the opposing, non parallel line is acute. With this knowledge and the C shape rule, A1 is therefore more than 90°.

Hope this helps

how to find parallelogram height with angles and side length

Answers

Answer:

h = a * sin α

Step-by-step explanation:

The easiest answer is utilizing Law of Sines: a / Sin A = b / Sin B = c /Sin C

a and ∠α : known

∠AEB = 90°

a / Sin 90° = h / Sin α   .. Sin 90° = 1

h = a * sin α

0.2343217 Is it rational or irrational

Answers

Irrational because it can not be written as a fraction

Will mark brainly!

What is the inverse of [tex]f(x)=\frac{2}{x-1} +6?[/tex]
[tex]f^{-1} (x)=\frac{2}{x-1} +6[/tex]
[tex]f^{-1} (x)=\frac{2}{x} +7[/tex]
[tex]f^{-1} (x)=\frac{2}{y-6} +1[/tex]
[tex]f^{-1} (x)=\frac{2}{x-6} +1[/tex]

Answers

Answer:

[tex] {f}^{ - 1} (x) = \frac{2}{x - 6} + 1[/tex]

Step-by-step explanation:

we will subistitute f(x) by y and solve the equation in order to get the value of x,

then we subistitute x by y and y by x and y=f^-1(x)

Enter the value of x + 27.
х
1
o
1x + 27)
67°

Answers

1) Commutative Property of addition and multiplication: (Commutative, x; Commutative, +) ... 24) -6 + 10 = 4 25) - 8 - 12 = 20 26) -8 +6= -2 27) -7 - 5= -12.

please help me i’m so lost Determine the lengths of AB and AC in the right triangle. You may give your answers in radical
form.

Answers

Answer:

see explanation

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6}{AB}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

AB = 12

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2 AC = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

AC = 6[tex]\sqrt{3}[/tex]

The scale model of a building is 8.5 inches tall. How tall is the actual building if the scale
used for the model is 1 inch = 150 feet?

Answers

Answer:

1,275

Step-by-step explanation:

Answer:

1275

Step-by-step explanation:

you do 8.5 multiplied by 150

what is the value of y if x = 4 ​

Answers

Answer:

5aaaaaaaaaaaaaaaaaaaaaaaa

A company makes 140 bags.
30 of the bags have buttons but no zips.
27 of the bags have zips but no buttons.
20 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

Answer: 41/75 or 54.67%

Step-by-step explanation:

Buttons --- yes,  zips --- yes = 45  (compute as 150 - 37 - 45 - 23)

Buttons --- yes,  zips --- no  = 37

Buttons --- no, zips --- yes = 45

Buttons --- no, zips --- no = 23

Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75

Find the area of each figure

Answers

Answer:

24

Step-by-step explanation:

12*4/2

It’s 24 since 12 x 4 = 48 than you divide it by 2

check whether the given fraction are equivalent
a) 7 /13 ,5/11

Answers

Answer:

No

Step-by-step explanation:

Not equivalent

7/13 ≠ 5/11

please help, thank you!

Answers

Answer:

x = 6

Step-by-step explanation:

45°+45°+m∆2 = 180°

m∆2 = 90°

; m∆2 = 16x-6

90 = 16x-6

96 = 16x

96/16 = x

6 = x

i see the other person already told u the answer so i want points don’t mind meee
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