Select the equivalent expression

(8^2/4^4)^3 = ?

A 8^2/4^4

B 8^6/4^12

C 8^2/4^12

D 8^6/4^4

Answers

Answer 1

So the right answer is of option B.

Hope this will help u..

Select The Equivalent Expression (8^2/4^4)^3 = ?A 8^2/4^4B 8^6/4^12C 8^2/4^12D 8^6/4^4
Answer 2

The equivalent expression of the given equation is option   [tex]\frac{8^6}{4^{12} }[/tex], option B is correct.

How can  equivalent expression be determined?

Every mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. For instance, the formula 4m + 5 has the terms 4m and 5 as well as m, the variable, all separated by the arithmetic sign +.

Given that

[tex](\frac{8^2}{4^4} )^{3}[/tex]

The numerator = [tex](8^{2} )^{3} = 8^{6}[/tex]

The denominator = [tex](4^{4} )^{3} = 4^{12}[/tex]

Then we can combine the expression as ;

[tex]\frac{8^6}{4^{12} }[/tex]

Therefore, option B is correct.

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Related Questions

All I need is the answer

Answers

Answer:

702

Step-by-step explanation:

Since the sales tax is 8%, David has to pay 0.08*650 extra for his cheese. 0.08*650=52, and adding this to the original price of $650 you get $702. Hope this helps!

Answer:

$702

Step-by-step explanation:

1.08 * 650 =

702

James is interested in the relationship between weather conditions and whether the downtown train runs on time. For a year, James records the weather each day as well as whether this train arrives on time or is delayed. Here are his results:
Weather condition On-time Delayed Total
Sunny 167167167 333 170170170
Cloudy 115115115 555 120120120
Rainy 404040 151515 555555
Snowy 888 121212 202020
Total 330330330 353535 365365365
Find the marginal distribution of arrival status in percentages.
Round to the nearest whole percent.
On-time:
\%%percent
Delayed:
\%%percent
Stuck?Use a hint.

Answers

Using proportions, it is found that the marginal distribution is:

90% of the flights were on time.10% of the flights were delayed.

---------------------------

In total, there were 170 + 120 + 55 + 20 = 365 flights.Of those, 167 + 115 + 40 + 8 = 330 on time. The percentage on time is:

[tex]P = \frac{330}{365} \times 100\% = 90\%[/tex]

90% on time, and the rest, that is, 100% - 90% = 10% were delayed, and the marginal distribution is described by these percentages.

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The marginal distribution of train arrival status shows that approximately 90% of the time the train is on-time and 10% of the time it is delayed. This is calculated by taking the frequency of each arrival status and expressing it as a percentage of the total number of days recorded by James.

James has been keeping track of the relationship between weather conditions and whether the downtown train runs on time.

To find the marginal distribution of train arrival status in percentages, we need to see the frequency of on-time and delayed trains irrespective of the weather conditions and then express these frequencies as a percentage of the total number of days recorded.

To calculate the on-time percentage:

Total on-time occurrences: 330Total recordings: 365On-time percentage = (Total on-time occurrences / Total recordings) x 100On-time percentage = (330 / 365) x 100 ≈ 90%

To calculate the delayed percentage:

Total delayed occurrences: 35Delayed percentage = (Total delayed occurrences / Total recordings) x 100Delayed percentage = (35 / 365) x 100 ≈ 10%

Therefore, the marginal distribution of arrival status is approximately 90% on-time and 10% delayed.

Help!!!!!

Two times the quantity of seven less than one-fourth of a number is equal to four more than one-third of the number. What is the number?

Answers

Answer:

Number =108

Step-by-step explanation:

2((1/4x)-7)=(1/3x)+4

Answer:

its 108!!

2(7) -1/4x = 4+1/3x

What is the perimeter of this tile 6 in and 2 in

Answers

Answer:

16 inches

Step-by-step explanation:

Perimeter of a rectangle is

P = 2(l+w)

   =2(6+2)

   =2(8)

   = 16 inches

Answer:

16 in

Step-by-step explanation:

Just multiply!

Which pair of figures appears to be congruent

Answers

Answer:

when they have equal sides and the exact shape and the same angle measures. they have tobe the same size.

Step-by-step explanation:

For example, when you have a square with sides 3 cm, then you compare it with the exact copy of the square. These squares are congruent. Two figures are congruent if and only if they have the exact same shape and the exact same size. If the corresponding sides of two figures with the same shape have the same length, then the two figures are congruent.

The figures that appear be congruent have all sides as equal and in the exact shape and can measure the same angles. They have the same size.

What are congruent?

The instruments is those figures and objects that have the same size and shape. The meaning of the work congruent is that they are identical to each other and in an agreement and harmony

As per the example, the square with the sides of 3 cm, then you can compare it with the exact copy of the square. These squares are then congruent.

Find out more ifirmation about the congruement.

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(4,-1)&(6,2) what is the slope

Answers

Answer:

[tex]m=\frac{3}{2}[/tex]

Step-by-step explanation:

Step 1:  Find the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2-(-1)}{6-4}[/tex]

[tex]m=\frac{3}{2}[/tex]

Answer:  [tex]m=\frac{3}{2}[/tex]

Square of which numbers are equal to 4?

Answers

The answer would be 2 because a square root has to be the same 2 numbers which is 2 for this example. 2x2=4. Hope this helps! If you have anymore questions please ask me. Stay Safe! And have a good day!

When 6 is added to a certain number, the result is 19. Determine the
number.​

Answers

Answer:

the answer is 13 hope that helps:)

Answer:

The number is 13

Step-by-step explanation

6 + x = 19

we can move the equation around to help us get our answer

19 - 6 = x

19 - 6 = 13

Your answer is 13 :)

what is 7% as a number?

Answers

Answer:

0.07

Step-by-step explanation:

Step 1:  Convert into a number

7% / 100

0.07

Answer: 0.07

The number seven 7 if that percentage is out of 100.

Complete the statements to find the measurements of ∠a and ∠b .

Answers

Answer:

∠a=80

∠b=50

Step-by-step explanation:

∠a and 100 are on a straight line. Therefore they are supplementary, and add to 180 degrees. So, we can say that:

∠a+100=180

To solve, subtract 100 from both sides. This will leave ∠a by itself.

∠a +100-100=180-100

∠a=80

The angles in a triangle must add to 180 degrees. Therefore,

∠a + ∠b + 50= 180

We know ∠a is 80, so we can substitute that in

80+ ∠b +50 =180

∠b+80+50=180

Combine like terms

∠b+(80+50)=180

∠b+130=180

To solve, subtract 130 from both sides. This will leave ∠b by itself.

∠b+130-130=180-130

∠b=50

Answer:

∠a = 80° and ∠b = 50°

Step-by-step explanation:

Look at angle a. Angle a and 100 both lie on the same line, which means they are supplementary and add up to 180. Then we can write: m∠a + 100 = 180. To solve this for a, we simply subtract 100 from both sides:

m∠a = 80°

Now, look at the triangle. All the angles in a triangle add up to 180, so we have the equation: m∠b + 80 + 50 = 180. Solve for b by subtracting 80 and 50 from both sides: m∠b = 50°.

Thus, ∠a = 80° and ∠b = 50°.

Explain in complete sentences how you graph in the equation y=3x-6.

PLS ANSWER DUE REALLY SOON TODAY!!!

Answers

Answer:

y=3x-6 x=2

Step-by-step explanation:

y=3x-6

/3 /3

1.= x

First of all take 3 values of x for example 1, 2 and 3.

Then do the calculations as follows:

y=3×1-6=-3

y=3×2-6=0

y=3×3-6=3

These values that we obtained you are gonna put in a table that's gonna look like this:

| x | 1 | 2 | 3 |

| y | -3 | 0 | 3 |

Then put the values in a chart, and build the graph.

I need help finding X in the equation

Answers

Answer:

x = 25

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal

4x+50 =150

Subtract 50 from each side

4x+50-50 = 150-50

4x = 100

Divide each side by 4

4x/4 = 100/4

x =25

Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

Step 1:  Make an equation

[tex]150 = 4x + 50[/tex]

Step 2:  Subtract 50 from both sides

[tex]150 - 50 = 4x + 50 - 50[/tex]

[tex]100 = 4x[/tex]

Step 3:  Divide both sides by 4

[tex]100 / 4 = 4x / 4[/tex]

[tex]25 = x[/tex]

Answer:  [tex]x = 25[/tex]

THIS NEEDS TO BE ANSWERED ASAP CHANCE FOR BRAINLIEST

Answers

Answer:

40

Step-by-step explanation:

Sally says, "If it's sunny, I will go to the park. When I go to the park, I go down the slide."

The next day is sunny.

What can you conclude? What law did you use to draw this conclusion?

Answers

Answer:

I can conclude that Sally went down the slide. I used deductive reasoning to get my answer. Sally said that if it was sunny, she would go to the park. She also said that if she does go to the park, she will go down the slide. Since Sally did go to the park, I know that she did go down the slide. Based on the information I have, I can use deductive reasoning to get to my answer.

Step-by-step explanation:

Final answer:

Based on Sally's conditions and the law of syllogism, since it's sunny, we can conclude Sally will go to the park and go down the slide.

Explanation:

From Sally's statements, since the next day is sunny, we can conclude that Sally will go to the park and go down the slide. This conclusion is based on the law of syllogism in logic, which allows us to link two related conditional statements. In this scenario, the first conditional statement is 'If it's sunny, I will go to the park', and the second is 'When I go to the park, I go down the slide'. As it's sunny, the law of syllogism lets us link these conditions to infer that Sally will indeed go down the slide at the park.

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assume the ratio of hand to foot 7:9 . If an artist draws a person with hands 35 inches long how long should the feet be to maintain the correct proportions ?

Answers

Answer:

45

Step-by-step explanation:

7x5=35

9x5=45

Answer:

Artist should draw persons feet in ratio of;  45inches : hands 35inches

we can multiply 7 x 10 = 70 and see that 35 is half this.

This means 9 x 10 = 90 and see that 45 is half this.

Making the ratio 35:45

Step-by-step explanation:

Why a mixed number is called "mixed" number what is mixed up here?


Because a whole number such as 1 or two is "mixed" with a fraction such as 1/2 , 1/4 , or 3/8ths.


Because numbers are all mixed up.


Because a fraction is added to a whole number.

Answers

Because a fraction is added to a whole number

Answer:

Because a fraction is added to a whole number

Step-by-step explanation:

Maryam needs to add 4 1/2 cups of flour to a recipe. She only has a 3/4 cup measure. How many scoops of flour does she need to add?

Answers

Answer:

15

Step-by-step explanation:

Determine if the set of ordered pairs represents a function. Explain why or why not. (2 points)
{(-4, 4), (-2, 2), (0, 0), (-3, -2)}

Answers

In order for a set of ordered pairs to be a function there can not be more than one x-value with a different y-value.

In this case, the set of ordered pairs: (-4, 4), (-2, 2), (0, 0), (-3, -2) is a function! There are no repeated x-values.

Hope this helped!

~Just a girl in love with Shawn Mendes

The points (0, 6) and (12, 5) fall on a particular line. What is its equation in slope-intercept
form?

Answers

we can write the equation of the line in slope-intercept form:

[tex]y =[/tex][tex](-1/12)x + 6[/tex]

To find the equation of a line in slope-intercept form ([tex]y = mx + b[/tex]), we need to determine the slope (m) and the y-intercept (b).

Given two points (0, 6) and (12, 5), we can calculate the slope (m) using the formula:

[tex]m = (y2 - y1) / (x2 - x1)[/tex]

Using the coordinates (0, 6) and (12, 5):

[tex]m = (5 - 6) / (12 - 0)[/tex]

[tex]= -1 / 12[/tex]

Now that we have the slope (m), we can substitute it into the slope-intercept form equation:

[tex]y = mx + b[/tex]

Using the coordinates (0, 6):

[tex]6 = (-1/12)(0) + b[/tex]

6 = b

Therefore, the y-intercept (b) is 6.

A slope-intercept equation is a linear equation written in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept. The slope (m) determines the steepness or direction of the line, while the y-intercept (b) is the point where the line intersects the y-axis. By using this equation, we can easily identify the relationship between the x and y coordinateson  the line, making it convenient for graphing, understanding the line's behavior, and predicting the value of y for a given x.

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HELP!!!! Need help with this!!

Answers

Answer:

11/14

Step-by-step explanation:

Their sum is 180 degrees. You set up an equation and get:

10x + 30 + 18x + 128 = 180

Combine Like Terms

28x + 158 = 180

28x = 22

x = 11/14

Political pollsters now make sure to conduct a percentage of their telephone interviews by calling mobile phones. This policy best addresses which potential source of bias? Some of the population may not have access to other types of phones. The survey only reaches individuals who volunteer to be interviewed. The policy helps individuals understanding the wording of survey questions. Some individuals contacted may choose to not participate.

Answers

Answer:

The answer is A

Step-by-step explanation:

Some of the population may not have access to other types of phones.

Final answer:

The policy of conducting a portion of surveys on mobile phones helps address the source of bias wherein some people may not have access to other types of phones. By including mobile phones, pollsters can have a more representative sample, reflecting the population more accurately. However, this does not guarantee participation or comprehension of survey questions.

Explanation:

The policy of political pollsters to conduct a percentage of their telephone interviews by calling mobile phones best addresses the source of bias that some of the population may not have access to other types of phones. This is reflective of a shift in communication behaviors wherein a significant percentage of the population exclusively uses mobile phones, especially among younger and middle-aged adults. This phenomenon could lead to a selection bias if only landline numbers were used, as the respondents would likely skew toward older individuals and those who are at home more often.

By integrating mobile phones in their survey methods, the pollsters are able to get a more representative sample that more accurately reflects the entire population. For instance, random-digit-dialing is a technique that allows pollsters to include respondents who have unlisted or mobile numbers. Similarly, geographically-based screenings can be employed to avoid regional bias.

However, it is important to note that including mobile phones in the survey does not address other kinds of bias. For instance, reaching out to potential respondents does not guarantee their participation, and it does not mean that the respondents would fully understand the wording of the survey questions. It only helps in achieving a more demographically reflective sample.

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Restaurants often slip takeout menus under Maura's apartment door. So far, Maura has collected 15 menus, including 3 for Chinese food. Considering this data, how many of the next 20 menus slipped under Maura's door should you expect to be from Chinese restaurants? menus

Answers

Based on the proportion of Chinese food menus Maura has already received (3 out of 15),we would expect her to receive approximately 4 Chinese food menus in the next batch of 20 menus.

To solve this, we look at the probability of Maura receiving a Chinese food menu by using the proportion of Chinese menus she has already received.

This initial probability is 3 out of 15, which simplifies to 1 out of 5. Therefore, we'd expect to receive the same proportion from the next set of menus.

To predict the number of Chinese food menus in the next 20, we multiply the total number of new menus by the probability of each being Chinese:

20 menus * (1/5 probability of Chinese) = 4 Chinese menus

Hansen's parents own a chocolate shop, and today he gets to help make the nut truffles.
Each truffle starts with one of 2 kinds of nuts and is dipped in one of 7 kinds of chocolate.
How many different nut truffles can they make?

Answers

They can make 14 different nut truffles.

The answer explains the calculation process to determine the number of different nut truffles that can be made, which is 14.

The number of different nut truffles that can be made is:

2 types of nuts x 7 types of chocolate = 14 different nut truffles

Which of the following is equivalent to x3−5x2−26x+120?
A x+4)(x2−6x+30)
B (x+3)(x2−8x+40)
C (x+6)(x2−4x+20)
D (x+5)(x2−10x+24)
Please help!

Answers

Answer:

D.

Step-by-step explanation:

Enter the answer to the problem below, using the correct number of
significant figures.
30.27 + 1.9 + 22.952

Answers

On solving the question 30.27 + 1.9 + 22.952 we get 55.1

Significant figures are important in calculations to maintain accuracy.

To add the numbers 30.27, 1.9, and 22.952:

Add the numbers: 30.27 + 1.9 + 22.952 = 55.122.

The number of significant figures in each of the given numbers is different. The answer should have the same number of decimal places as the number with the fewest decimal places, which in this case is 1.9. Thus, the answer should be rounded to 55.1

A rectangular pyramid and rectangular prism have the same base area and the same

height. What is true of their volumes?

A)The volume of the pyramid is three times the volume of the prism.

B)The volume of the pyramid is 1/3 the volume of the prism.

C)The volumes are the same.

D)The volume of the pyramid is 1/3 the volume of the prism.

Answers

Answer:

B)The volume of the pyramid is 1/3 the volume of prism

Step-by-step explanation:

We are given that

Bases of rectangular pyramid  and rectangular prism are same

Height of both  rectangular pyramid  and rectangular prism are same.

We know that

Volume of  rectangular pyramid =[tex]\frac{1}{3}bh[/tex]

Where b=Area of base

Volume of rectangular prism=[tex]bh[/tex]

Where b=Area of base

Volume of rectangular pyramid=[tex]\frac{1}{3}[/tex] volume of rectangular prism

Hence, the volume of pyramid is 1/3 times the volume of volume of rectangular prism.

Option  B is true.

answer

The volume of the pyramid is 1/3      the volume of the prism.

Step-by-step explanation:

Ms kaimal prints out address labels on 3 sheets of paper each sheet is entirely covered in labels each label takes up 1/12 of a sheet how many labels did she print

Answers

Answer:

Labels did she print is 36.

Step-by-step explanation:

Given : Ms kaimal prints out address labels on 3 sheets of paper each sheet is entirely covered in labels each label takes up [tex]\frac{1}{12}[/tex] of a sheet.

To find : How many labels did she print ?

Solution :

[tex]\frac{1}{12}[/tex] of a sheet takes up 1 label.

So, 1 of a sheet takes up  [tex]\frac{1}{\frac{1}{12}}[/tex] label.

1 of a sheet takes up 12 label.

Then, 3 of a sheet takes up  [tex]12\times 3[/tex] label.

 3 of a sheet takes up 36 label.

Therefore, Labels did she print is 36.

1/12* 1/3 is 36 labels basically 12x3

-20-7x=-2x+2 solve the equation

Answers

Answer:

-4.4

Step-by-step explanation:

In order to do this, we need to move the variables to one side, and the numerical values to the other.

-20-7x=-2x+2

We can do this by adding 7x to both sides first

-20=5x+2

Now we can subtract 2 from both sides.

-22=5x

Next, we can divide each side by 5.

x=-22/5

Then we simplify the fraction

x=-4.4

Answer:

x = -4.4

or

x = 22/-5

Step-by-step explanation:

-20-7x = -2x+2

-7x = -2x+20+2

2x-7x = 22

-5x = 22

x/-5 = 22/-5

x = -4.4

or

x = 22/-5

The formula for the volume of a cylinders to the formula forth
in both cases, you multiply the area of the base times the height
cylinder is related to the formula for the volume of a prim
The formula for the volume of a cylindesbe used to remember the form
e of a cylinder can be used to remember the formula for the
volume of a cone with the same radius and height and the volume of a spre
radius. The volume of a cone is the volume of the cylinder and the volume
is the volume of the cylinder
and height and the volume of a sphere with the same
lume of the cylinder and the volume of the sphere
Volume of a cylinder - Area of the base height
(mr)
T
'h
Volume of a cone
area of the base height
volume of a sphere - 1.
The height of
hall sphere is
another radius
sh
Reflect
1 How can you use the formula for the volume of a prism to remember the formula for the
volume of a cylinder? How is the formula for the volume of a cone related to the formula
for the volume of a cylinder?
indert. Cones, and she
Problems with

Answers

Answer:

Step-by-step explanation:

To use the formula for the volume of a prism to remember the formula for the volume of a cylinder, you can think of a cylinder as a prism with circular bases. The formula for the volume of a prism is given by multiplying the base area by the height. In the case of a cylinder, the base area is the area of a circle, which is πr² (where r is the radius), and the height is the height of the cylinder. Therefore, the formula for the volume of a cylinder becomes V = πr²h.

The formula for the volume of a cone is related to the formula for the volume of a cylinder because a cone can be thought of as a pyramid with a circular base. The formula for the volume of a cone is given by multiplying the base area (which is a circle) by the height and dividing by 3. Since the base area of a cone is πr² (where r is the radius), and the height of the cone is h, the formula for the volume of a cone becomes V = (1/3)πr²h. The volume of a cone is exactly one-third of the volume of a cylinder with the same base area and height.

It's important to note that the formulas for the volume of a cylinder, cone, and sphere are derived based on their geometric shapes and properties. Understanding these relationships and connections can help in remembering and applying the formulas correctly in problem-solving situations.

Final answer:

To remember the formula for the volume of a cylinder, think of it as a prism with circular bases. The formula is the area of the base times the height. The volume of a cone with the same radius and height is one-third of the volume of the cylinder.

Explanation:

To use the formula for the volume of a prism to remember the formula for the volume of a cylinder, you can think of a cylinder as a prism with circular bases. The formula for the volume of a prism is the area of the base times the height. Since the bases of a cylinder are circles, the formula becomes the area of the base (πr²) times the height (h). The formula for the volume of a cylinder is related to the formula for the volume of a cone because if you take a cone with the same radius and height as a cylinder, the volume of the cone will be one-third of the volume of the cylinder (Vcone = 1/3 * Vcylinder).

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21 and 22 are complementary angles. If mZ1 = 36", what is mZ2?
36°
54
144
72

Answers

Answer:

54°

Step-by-step explanation:

Complementary angles sum to 90°, thus

∠ Z2 = 90° - 36° = 54°

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