Which expression is equivalent to startfraction (2 m n) superscript 4 baseline over 6 m superscript negative 3 baseline n superscript negative 2 baseline endfraction? assume m not-equals 0, n not-equals 0.

Answers

Answer 1

The equivalent expression of [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex] is [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex]

How to determine the equivalent expression?

The expression is given as:

[tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex]

Evaluate the expression on the numerator

[tex]\frac{16m^4n^4}{6m^{-3}n^{-2}}[/tex]

Divide 16 by 6

[tex]\frac{8m^4n^4}{3m^{-3}n^{-2}}[/tex]

Apply the law of indices

[tex]\frac{8m^7n^6}{3}[/tex]

Hence, the equivalent expression of [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex] is [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex]

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Related Questions

is the only plane shape in which every point on the figure is the exact same distance from the center.

Answers

The only plane shape in which every point on the figure is the exact same distance from the center is; The Circle

How to Identify a Circle?

There are different types of plane shapes such as Square, rectangle, Circle, Trapezoid, Parallelogram, Rhombus, Kite, Triangle e.t.c.

Now, Except for the circle and Triangle, every other listed plane shape above is a quadrilateral because they have 4 sides. Now, no quadrilateral has all its' sides equal from the center. Likewise, no triangle has all its' sides equal from the center.

The only plane shape with all its' sides equal from the center is the circle because the radius is equal all through.

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A bag contains hair ribbons for a spirit rally. The bag contains 8 black ribbons and 12 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that both Lila and Jessica select a black ribbon? Express your answer as a fraction in simplest form.

Answers

Answer:

[tex]\boxed{\sf \dfrac{14}{95}}[/tex]

Explanation:

Black ribbons = 8 ribbons

Green ribbons = 12 ribbons

Total ribbons: 12 + 8 = 20 ribbons

[tex]\sf Probability = \dfrac{Favorable \ Outcomes}{Total \ Possible \ Outcomes}[/tex]

For Lila:

[tex]\sf Lila \ picks \ black \ : \ \dfrac{8}{20}[/tex]

Left black ribbons: 8 - 1 = 7 black ribbons

Left total ribbons: 20 -1 = 19 total ribbons

For Jessica:

[tex]\sf Jessica \ picks \ black \ : \ \dfrac{7}{19}[/tex]

Probability that they both pick black ribbons:

[tex]\sf \rightarrow \dfrac{8}{20} \ x \ \dfrac{7}{19}[/tex]

[tex]\sf \rightarrow \dfrac{14}{95}[/tex]

Helpppp
I'll give 50 pts

Answers

Answer:

Step-by-step explanation:

Answer:

i agree with the other anwser!!

Step-by-step explanation:

To divide x3y by x4y, first divide y by y to get x3/x4. Which of these would you do next to solve?

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the division of x³y by x⁴y is equal to 1/x.

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.

The division of x³y by x⁴y can be done as,

x³y/x⁴y

= x⁽³⁻⁴⁾ y⁽¹⁻¹⁾

= x⁻¹

= 1/x

Hence, the solution of the division of x³y by x⁴y is equal to 1/x.

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Give the following number
in Base 5.
1310 = [?]5

Answers

Expand 13 as 10 + 3.

10 = 2×5, so

13 = 2×5 + 3×1

or

13 = 2×5¹ + 3×5⁰ = 23₅

A jar contains 3 green and 3 red
marbles, as shown.
Drag purple marbles to the jar to
create a situation in which the
probability of drawing a red
marble followed by another red
marble, with replacement, is 16

Answers

Answer:

1/2 this is the correct answer to the question

what's the answer for 3 ( x + 2) = 11+3x-5

Answers

Answer:

question is not correct

Step-by-step explanation:

3(x+2)=11+3x+5

3x+6=11+3x+5, once 3x is subjected from both sides it becomes unsolvable

Answer: Infinite solution

Step-by-step explanation: 3x + 6 = 11 + 3x - 5

                                             -3x

6 = 11 - 5

6 = 6

Question:
9x - 2 = 4x + 9

Answers

Answer:

Step-by-step explanation:

9x-2=4x+9

1. 9x-4x-2=4x-4x+9 always isolate a variable which means move 4x to the other side to get 9 by its self.

2. 5x-2+2=9+2

3. 5x=11

4. 5x/5=11/5 get x by itself.

5. x=2.2

check work.

9(2.2)-2=4(2.2)+9

17.8=17.8

Simplify the expression. Write your answer as a power.
4²*4³
The simplified expression is

Answers

Answer:

4^5

Step-by-step explanation:

When we are multiplying expressions with the same base, we add the exponents

a^b * a^c = a^(b+c)

4^2 * 4^3 = 4^(2+3) = 4^5

What is the interquartile range of the set of data this box-and-whisker plot represents?

Answers

The interquartile range = upper quartile - lower quartile = 18 - 15 = 3 (option A).

What is Interquartile Range (IQR)?

The interquartile range (IQR) of a data = upper quartile - lower quartile.

In the box-and-whisker plot given:

Upper quartile = 18Lower quartile = 15Interquartile range (IQR) = 18 - 15Interquartile range (IQR) = 3

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Ms. Garcia's garden is made up of 15 corn plants and 10 squash plants. What is the ratio of the number of corn plants to the number of squash plants in Ms. Garcia's garden?
options:
A. 1:3
b.2:3
c.3:2
d. 3:1

Answers

Answer: b) 2:3

Step-by-Step Explanation:

Corn Plants = 15
Squash Plants = 10

Ratio of Corn Plants to Squash Plants :-

= 10/15
= 2/3 (On dividing 10 & 15 by 5)

Ratio = 2:3

How to find LCM by factorization method ​

Answers

Answer:

1. Find the prime factorization of each number.

2. Write each number as a product of primes, matching primes vertically when possible.

3. Bring down the same numbers in each column and the remaining numbers in each column.

4. Multiply the factors to get the LCM.

for example the lcm of 24 and 36

= 24 = (2 × 2 × 2 × 3) = 2^3 × 3^1

 and 36 = (2 × 2 × 3 × 3) = 2^2 × 3^2

LCM(24, 36) = 2^2 × 3 × 2 × = 72

i hope my answer was helpful and please mark me as brainliest

Characterize the slope of the line in the graph.​

Answers

zero slope. all vertical lines have a 0 slope.

findin the measure of each angle (3x-13)° 5x -47

Answers

The measure of each angle is 43.25 and 46.75

How to determine the measure of each angle?

The attached image represents the missing piece in the question.

From the image, we can see that:

3x - 13 + 5x - 47 = 90 ---- complementary angles

Evaluate the like terms

8x = 150

Divide by 8

x = 18.75

Substitute x = 18.75 in the given angles

3x-13 = 3 * 18,75 - 13 = 43.25

5x -47 = 5 * 18.75 - 47 = 46.75

Hence, the measure of each angle is 43.25 and 46.75

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helppppppppppppppppppp!!!!!!!!

Answers

The answer is C.

Step-by-step explanation:

I can't explain but I literally just did this question and I got it right

Which number is a rational number?
square root of 15
2.438346835387
17.156
cube root of 85

Answers

17.156 is rational. Hope that helped.

A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample? 1.Assign the homework questions the numbers 1-10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded. 2.Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded. 3.Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
3. Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.​

Answers

The answer will be option D which is to Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9.

What is randomization?

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

Given that:-

A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded.

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Hence the answer will be option D which is to Assign the homework questions to the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9.

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How to find area of 1 ???

Answers

Answer: 1 What???

Step-by-step explanation:

Will someone help me solve this?
sally was given a standard deck of 52 cards she randomly chose 3 cards from the deck replacing the card befor each time. what is the probability of choosing an ace, a queen, and a six?

Answers

Since Sally replaces the card after each draw, there are 52 choices for each card that can be drawn.

In a standard deck of cards, there are 4 aces. Then the probability of drawing an ace is 4/52 = 1/13. The same reasoning applies to drawing a queen or a six. Then the probability of drawing an ace, queen, and six (in that particular order) is 1/13³.

But Sally can also draw these 3 specific cards in any order to end up with the same hand. There are 3! = 6 ways of doing so:

AQ6, A6Q, QA6, Q6A, 6AQ, 6QA

That is, 3 choices for the first card; 2 choices for the second; and 1 for the third, so a total of 3 • 2 • 1 = 3! = 6 hands.

Then the probability of getting a hand consisting of an ace, queen, and six is

3! • 1/13³ = 6/2197 ≈ 0.002731

estimate the perimeter and the area of the shaded figure to the nearest whole number

Answers

Answer:

See below ~

Step-by-step explanation:

Perimeter

2(6 + 8)2(14)28 units

Area

2(4 x 2) + 2(8)4(8)32 square units

Here are the driving scores of 40 new drivers. make a relative frequency table for their scores:
48, 67, 62, 74, 42, 62, 60, 75, 91, 88, 48, 60, 51, 63, 57, 85, 69, 75, 97, 72,
71, 79, 84, 65, 63, 73, 46, 55, 62, 72, 80, 55, 55, 56, 83, 80, 64, 72, 83, 92
in creating the table, you will need to make some choices about how to bin the data: how many bins,
and how wide the bins should be. you may also need to make some decisions about what to do with numbers that fall in the boundary between two bins in writing up your answers be clear about how you are making these choices there is more than one reasonable way to do it so you need to be clear about which decisions you are making.

Answers

The relative frequency table is:

Class         Frequency  Relative frequency

40 - 50         4                     0.1

50 - 60          6                     0.15

60 - 70           11                     0.18

70 - 80            9                     0.23

80 - 90              7                    0.18

90 - 100             3                   0.08

What is the relative frequency table?

The relative frequency measures how often a value appears relative to the sum of the total values. The class width is 10. The class width is the difference between the upper and lower boundary (e.g. 100 - 90).

Frequency is the number of times the numbers in the class interval appear in the data set. Relative frequency is the frequency of a class interval divided by the total frequency of the data set.

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can someone help me with this question

Answers

Answer:

the answer will be 1 7/3 I believe

Suppose 60% of a herd of cattle is infected with a particular disease. let p = the number of non diseased cattle in a sample of size 5. the distribution of y is

Answers

The distribution of y is [tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]

How to determine the distribution?

The given parameters are:

Probability of success, p = 60%

Sample size, n = 5

The distribution of y is represented as:

[tex]P(y) = ^nC_y * p^y * (1 - p)^{n-y}[/tex]

So, we have:

[tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]

Hence, the distribution of y is [tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]

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Please solve this for me

Answers

Answer: Trapezium

Detailed Explanation:

A quadrilateral in which only one pair of opposite sides are parallel is called a Trapezium. This is one of the basic properties of a Trapezium.

Help answer questions in photo!!

Answers

I think the answer might be B identify the initial amount

A gallon of milk cost 3.79. because of inflation, the price increases by 5% per year . write an equation that models the growth in the price of milk

Answers

The answer is of the question is 18.95

Find the 14th term of the geometric sequence 2, 6, 18,

Answers

Answer:

52

Step-by-step explanation:

question 2. write the product using exponents

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Given expression ,

[tex] \frac{1}{8} . \frac{1}{8} .y.y.y \\ [/tex]

this can also be written as ,

[tex] \frac{1}{8} \times \frac{1}{8} \times y \times y \times y \\ \\ \longrightarrow \: \frac{y {}^{3} }{64} [/tex]

hope helpful ~

what is the probability of drawing a king and a diamond from a standard deck of cards

Answers

Answer:

P(king or diamond) = P(king) + P(diamond) - P(king and diamond) P(king or diamond) = (4/52) + (13/52) - (1/52) P(king or diamond) = 16/52 Page 5 P(king or diamond) = 4/13.

If XYZ measures 55°, what is the measure of WZ?

a. 125°
B. 305
C. 55
D. 110°

Answers

i believe it’s D 110°
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