Which expression is equivalent to the given expression?
(4ab3
O 433
0-120³6³
O 4063
0-6433

Answers

Answer 1

Step-by-step explanation:

\( = {(4ab)}^{3} \)

\( = {4}^{3} \times {a}^{3} {b}^{3} \)

\( = 64 {a}^{3} {b}^{3} \)


Related Questions

Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?

Answers

Answer:

what are the options? But assuming he put the same amount in each sandwich he would put half a pound in each sandwich  

What number is
2/10
of 1% of 4,100?

Answers

Answer:

8.2

Step-by-step explanation:

4100*0.01=41

41*(2/10)=8.2

7 divided by $15.02. Round it by the nearest cent. QUICK!!

Answers

The answer would be 7/15.02= approximately 0.47

A circle has an area of 12.251 x pi cm^2
Calculate:
a its diameter
b its circumference

Answers

Answer:

A) 3.94

B) 12.40

Step-by-step explanation:

Refer to the work image. You also need the radius to calculate A and B.

A circle has an area of 12.251 x pi cm^2 Calculate:a its diameter b its circumference

Matemáticas resolver problemas

Matemticas resolver problemas

Answers

Sheena receives change of $7.55 after paying $20 bill.

How much is the change Sheena receives?

Information is graphically represented in a bar graph. To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (multiple bars that compare values in a category), and stacked bars can all be used to create bar graphs.

Therefore,

Sheena buys three items, one sandwich and two pretzels.

Given the rate of sandwich = $6.95

Rate of pretzels = $2.75 each

So rate of two pretzels = $2.75 x 2 = $5.5

Total amount paid = $20

To find the change she receives ,

Total payment paid - total amount of items

Total amount for items = $6.95 + $5.5

                                     = $12.45

Change receives = $20 - $12.45

                            = $7.55

Therefore the change Sheena receives is : $7.55.

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WHAT IS THE RECIPOCAL OF 6/5

Answers

Answer: 5/6

Step-by-step explanation:

The reciprocal of a number is 1 divided by that number. The reciprocal of 6/5 is 5/6.

Answer:

5/6

Step-by-step explanation:

Well to find a fraction's reciprocal all you need is to flop it like this

6/5 => 5/6

so 5 takes the place of 6 and 6 takes the place of 5

that's how 6/5 turns into 5/6

hence, the reciprocal is 5/6 .

Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.


Grocery Store Farmer's Market
8 tomatoes for $13.20 10 tomatoes for $17.50
4 cups of mozzarella cheese for $4.60 3 cups of mozzarella cheese for $3.30
12 eggs for $3.00 7 eggs for $1.40


Part A: Choose one of the food items offered at the grocery store and the farmer's market and determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)

Part B: Based on your answer in part A, which location offers a better deal? Explain

Answers

Part A: Grocery Store: unit price = $1.65 (Tomatoes)

Farmer's Market: unit price  = $1.75

Part B: Grocery Store offers a better deal because the unit price is less.

How to determine the unit price of the item at each location?

Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e.  $5 for one orange.

PART A:

Let's choose tomatoes

Grocery Store

8 tomatoes for $13.20

Unit price = $13.20/8 = $1.65

Farmer's Market

10 tomatoes for $17.50

Unit price = $17.50/10 = $1.75

Part B:

The location that offers a better deal is Grocery Store. This is because the unit price is less.

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Given 8 different toppings to choose from, how many 3-topping pizzas are possible?
24, 78, 56, or 336?

Answers

Answer:

Step-by-step explanation:

sd

GUESS THE SONGS NO CHEATING!!!!!!!!!!!! (IF YOU GUESS THEM ALL RIGHT ILL GIVE YOU BRAINLIEST)



SONG #1
In the hills is all we know (Hollywood)
Don't go through the front door (through the back)
It's lowkey at the night show (ooh)
So don't you open up that window (ooh)
Don't you let out that antidote, yeah

Song#2
My mama told me, "Boy, make a decision"
Right now I gotta keep a tunnel vision
I need me a lil' baby who gon' listen

Answers

Answer:

antidote and tunnel vision

Song 1 - Antidote by Travis
Song 2- tunnel vision by Kodak

A living room is 1,400 cubic meters. If there are 3.6 x 10' particles of dust per cubic meter, how many
particles of dust are there in the living room?
A) 5.04 x 102 particles
B) 5.46 x 1012 particles
C) 6.04 x 1013 particles
D) 6.44 x 1013 particles

Answers

Answer: 5.04x\(10^{4}\) particles

in your situation is choose : A

Step-by-step explanation:

the volume of the living room is 1,400\(m^{3}\), and there are 3.6 x \(10^{1}\) particles of dust / \(m^{3}\)

 

we will convert the room volume to scientific notation = 1.4 x \(10^{3}\)\(m^{3}\)

 

then, the total number of particles will be the product of the two numbers, which is 1.4 x \(10^{3}\)\(m^{3}\) times 3.6 x \(10^{1}\) particles/\(m^{3}\) = 5.04x\(10^{4}\) particles

Brody runs a farm stand that sells strawberries and grapes. Each pound of strawberries sells for $2.50 and each pound of grapes sells for $2. Brody made $160 from selling a total of 72 pounds of strawberries and grapes. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x,x, and the number of pounds of grapes sold, yy.

Answers

The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.

What is equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given that the selling price of strawberries each pound = $2.50,

The selling price of grapes each pound = $2

The total earning = $160

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,

x = y + 12 and 2.50x + 2y= 160

Solve the equation by substitution method;

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold is 32

the number of pounds of grapes sold is 20.

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Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?

Answers

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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1 Austin has found that both(13,17) and (24,61) are solutions to a system of linear equations how are the two lines related? explain

Answers

Considering that the graphs have two intersection points, the two lines are equal.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In a graph, the solution of two linear equations is the intersection of the two lines. Hence, if there are two solutions, as is the case in this problem, the two lines are equal.

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if my brother ate 5 cookies and their was 10 but my baby sister got 3 how much would their be?

Answers

Answer:

2 cookies

Step-by-step explanation:

If your brother ate 5 you would subtract 5 10-5=5

then your baby sister took 3 10-3=2

There is 2 left because you subtract 5 from 10 and that leave you with 5 and then you subtract three and get 2 and that’s your answer 2

RJ's recipe for cupcakes calls for sugar, flour, and milk in the ratio of 3:4:2. If a batch of
cupcakes contains 12 tablespoons of flour, how many tablespoons of sugar does it contain?
A) 9 tablespoons
B) 6 tablespoons
C) 10 tablespoons
D) 15 tablespoons

Answers

The answer is C 10 tablespoons
The answer is C 10 tablespoons

...............................................................

...............................................................

Answers

Answer:

a) 53.33 miles per hour

b) 1.7 pages per minute

c)2.25 $ per avocado

Step-by-step explanation:

a) 320/6 = 53.33333

b) 68/40 = 1.7

c) 27 /12 = 2.25

rewrite the expression 44 + 32 + 112 using the distributive property​

Answers

Answer:

4(11+8+28)

Step-by-step explanation:

44 + 32 + 112

4(11+8+28)

I found the GCF of all three numbers.

Hope this helps :)

If i purchase 25 candy bars priced at 3/$1.00,how much do I owe you

Answers

Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33

In 2005 an area vocational school had an enrollment of 325 men and 123 women. In 2006 there were 149 women. what was the percent increase of women students. The answer should be rounded to the nearest whole percent

Answers

The nearest Whole percent, the percent increase of women students is approximately 21%.

The percent increase of women students, we need to compare the number of women students in 2005 and 2006.

In 2005, the number of women students was 123.

In 2006, the number of women students was 149.

To find the increase, we subtract the initial value (2005) from the final value (2006):

Increase = Final Value - Initial Value

Increase = 149 - 123

Increase = 26

Next, we need to calculate the percent increase. The percent increase is given by the formula:

Percent Increase = (Increase / Initial Value) * 100

Plugging in the values:

Percent Increase = (26 / 123) * 100

Calculating the percent increase:

Percent Increase ≈ 21.14%

Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.

Therefore, the answer is 21%.

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If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of……

If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of

Answers

A. The displacement is the change in position, which is given by the change in the height, so:

i. [1,2] = -5.46 m/s

ii. [1,1.1) = -1.39 m/s

iii. [1,1.01) = -0.138 m/s

iv. [1,1.001) = -0.0138 m/s

How did we get these values?

(a) To find the average velocity over a time interval, we need to calculate the displacement during that time interval and divide it by the length of the interval. The displacement is the change in position, which is given by the change in the height, so:

i. [1,2]: Δs = y(2) - y(1) = [20(2) - 1.87(2)²] - [20(1) - 1.87(1)²] ≈ -5.46

Average velocity = Δs / Δt = -5.46 / (2 - 1) = -5.46 m/s

ii. [1,1.1): Δs = y(1.1) - y(1) = [20(1.1) - 1.87(1.1)²] - [20(1) - 1.87(1)²] ≈ -1.39

Average velocity = Δs / Δt = -1.39 / (1.1 - 1) = -1.39 m/s

iii. [1,1.01): Δs = y(1.01) - y(1) = [20(1.01) - 1.87(1.01)²] - [20(1) - 1.87(1)²] ≈ -0.138

Average velocity = Δs / Δt = -0.138 / (1.01 - 1) = -0.138 m/s

iv. [1,1.001): Δs = y(1.001) - y(1) = [20(1.001) - 1.87(1.001)²] - [20(1) - 1.87(1)²] ≈ -0.0138

Average velocity = Δs / Δt = -0.0138 / (1.001 - 1) = -0.0138 m/s

(b) The instantaneous velocity at t=1 is given by the derivative of the height function with respect to time, which is:

dy/dt = 20 - 3.74t

So the instantaneous velocity at t=1 is:

dy/dt(1) = 20 - 3.74(1) = 16.26 m/s (approximately)

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which expressions are equivalent to 4x

Answers

Answer:

2x+2x or 3x+1x

Step-by-step explanation:

Find the quotient and express the answer in scientific notation. 302 ÷ (9.1 x 10^4 )

Answers

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

How to find the quotient

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

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4 donuts cost 0.58 how much would 12 donuts cost

Answers

Answer:

1.74

Step-by-step explanation:

0.58*(12/4) = 0.58*3 = 1.74

Answer:

1.74

Step-by-step explanation:

Multiply 0.58 times 3 to get your answer.

The perimeter of a rectangular carpet is 94 yards. Its width is 19 yards.
How long is the carpet?
label required

Answers

Answer:

28 yards

Step-by-step explanation:

Perimeter=2(L)+2(W)

94=2(L)+2(19)

94=2(L)+38

-38       -38

56=2(L)

÷2  ÷2

28=L

In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram

Answers

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Find the volume of a right circular cone that has a height of 11.1 in and a base with a circumference of 17.6in.

Answers

Answer:

We are given that the circumference of the base of the cone is 17.6in.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

Since the base of the cone is a circle, we can use this formula to find the radius of the base:

C = 2πr

17.6 = 2πr

r = 17.6/(2π)

r ≈ 2.8

Now, we can use the formula for the volume of a cone to find the volume of the given cone:

V = (1/3)πr^2h

V = (1/3)π(2.8)^2(11.1)

V ≈ 71.3 cubic inches

Therefore, the volume of the right circular cone is approximately 71.3 cubic inches.

. Mira bought $300 of Freerange Wireless stock in
January of 1998. The value of the stock is expected
to increase by 7.5% per year. Use a graph to predict
the year the value of Mira's stock will reach $650.

Answers

To predict the year when the value of Mira's stock will reach $650, we can use the given information that the value of the stock is expected to increase by 7.5% per year. We can create a graph to visualize the growth of the stock value over time.

Let's assume that the x-axis represents the years starting from 1998 and the y-axis represents the value of the stock. We'll plot the initial value of $300 in January 1998 and then project the growth based on an annual increase of 7.5%.

Here's a rough representation of the graph:

```
| /
650| /
| /
| /
|/
|_________________
1998 1999
```

Based on this graph, it appears that the value of Mira's stock will reach $650 in the year 1999.

Please note that this is a simplified approximation based on the given growth rate and does not take into account factors such as market fluctuations or compounding. The actual year of reaching $650 may vary depending on various real-world factors.

The function D gives the day length, in minutes, of the nth day of the year in Juneau, Alaska. Which ONE of A, B, C, D, or E below gives a correct interpretation for the statement D'(10) = 3? A. On January 10, the day length increased by 3 minutes. B. On January 10, the day length is increasing at a rate of 3 minutes per day. C. On January 10, the day length is increasing at a rate of 3 days per minute. D. On January 3, the day length is increasing at a rate of 10 minutes per day. E. On January 3, the day length increased by 10 minutes.

Answers

The correct interpretation for the statement D'(10) = 3 is (e) On January 3, the day length increased by 10 minutes

How to interpret the function notation D(n)

From the question, we have the following parameters that can be used in our computation:

The function D represents the day length, in minutes, of the nth day of the year in Juneau, Alaska.

This means that

D = minutes

n = days

So, we have

Notation = D(n)

Also, from the question, we have

D'(10) = 3

This is the inverse of the function D(n)

So, the values of the parameters are

D(n) = 10

n = 3

This means that the number of days is 3 and the minute is 10

Hence, the interpretation of D'(10) = 3 is (e)On January 3, the day length increased by 10 minutes

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Curtis wants to save money for a trip overseas. Curtis invests $800 in an account that pays an interest rate of 6.25%.

How many years will it take for the account to reach $10,800? Round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

We can use the formula for compound interest to solve this problem:

A = P*(1 + r/n)^(n*t)

Where:

- A is the final amount

- P is the initial deposit

- r is the annual interest rate as a decimal

- n is the number of times the interest is compounded per year

- t is the number of years

In this case, we want to find t, so we can rearrange the formula:

t = log(A/P) / (n * log(1 + r/n))

Plugging in the values we know:

P = 800

r = 0.0625

A = 10,800

n = 1 (interest is compounded annually)

t = log(10800/800) / (1 * log(1 + 0.0625/1)) = 19.57

So it will take approximately 19.57 years for Curtis' account to reach $10,800. Rounded to the nearest hundredth, the answer is 19.57 years.

Molly's scout troop sold 148 boxes of cookies last month and 165 boxes this month. Find the percent of increase, rounded to the nearest tenth of a percent.

Answers

The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.

How is the percentage increase determined?

The percentage increase can be determined by finding the difference or the amount of increase in sales.

This difference is divided by the previous month's sales and multiplied by 100.

The total number of boxes of cookies Molly's Scout Troop sold last month = 148

The total number sold this month = 165

The increase = 17 (165 - 148)

Percentage increase = 11.5% (17 ÷ 148 x 100)

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