Which expressions are equivalent to 27^4/3?

Select the three correct answers.

A. 4^3

B. (27^1/3)^4

C. 3^1/4

D. 81

Answers

Answer 1

D) 81 is equivalent to 27^(4/3).

The expression 27^4/3 can be simplified using the rule that (a^m)^n = a^(m*n). Therefore, we can write,

27^(4/3) = (3^3)^(4/3)

Using the power of a power rule, we can simplify further,

(3^3)^(4/3) = 3^(3*4/3)

Simplifying the exponent, we get,

3^(4)

To check the other answer choices,

A. 4^3 is not equivalent to 27^4/3.

B. (27^1/3)^4 is equivalent to 27^(4/3), which we already simplified to 3^4. Therefore, this expression is also equivalent to 3^4.

C. 3^1/4 is not equivalent to 27^4/3.

D. 81 is equivalent to 3^(4).

Therefore, the expression 27^4/3 is equivalent to 3^4, which is answer choice D) 81.

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Related Questions

9 in. 14 in. Find the area of the triangle shown above. [?] square inches​

9 in. 14 in. Find the area of the triangle shown above. [?] square inches

Answers

Answer:

63

Step-by-step explanation:

9 x 14 = 126/2 = 63

PLEASE HELP 15 POINTS The sum of the measures
of seven out of ten angles
in a decagon is 1086°. If the
three remaining angles are
equal in measure, what is the
measure of each angle?

Answers

Answer:

118

Step-by-step explanation:

1440-1086= 354

354/3=118

The measure of each angle is 118 degrees

The given parameters are:

Shape: DecagonSeven angles add up to 1086The remaining three angles are congruent

The sum of interior angles of a decagon is 1440.

Let each of the remaining three angles be represented with x.

So, we have:

\(1086 + 3x = 1440\)

Collect like terms

\(3x = 1440 - 1086\)

\(3x = 354\)

Divide both sides by 3

\(x = 118\)

Hence, the measure of each angle is 118 degrees

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Grant is painting a rectangular board that has a width of 1/3 foot. he has enough paint to cover 3 square feet. if he is able to cover the whole board using all of his paint, what is the length of the board in ffet?

Answers

Answer:

The other length is 9 feet.

Step-by-step explanation:

Answer:

Assuming that the  purpose of the rest of the paint into to cover the rest ofe the board he would have 2 and 2/3 left

Step-by-step explanation:

How do I solve these types of questions? Any hints or help will be appreciated

How do I solve these types of questions? Any hints or help will be appreciated

Answers

Step-by-step explanation:

ATTACHED ARE THE SOLUTIONS !!!!

How do I solve these types of questions? Any hints or help will be appreciated
How do I solve these types of questions? Any hints or help will be appreciated
How do I solve these types of questions? Any hints or help will be appreciated

Step-by-step explanation:

a)=

y = 70 + 41 (exterior angle is equal to sum of its opposite interior angles)

so, y = 111°

Now,

y = x + 58° ((exterior angle is equal to sum of its opposite interior angles)

or. 111° - 58° = x

so, x = 53°

b)=

x = 180° - 127° (linear pair of x is corresponding to 127)

so, x = 53°

Now,

y = 83° (y is vertically opposite to angle that is corresponding to 83)

c)= x = 47° (alternate angles)

y = 47 + 32 (exterior angle is equal to sum of its opposite interior angles)

so, y = 79°

d)= other angle = 180-45-45 = 90

Using the formula:-

sinA/a = sinB/b = sinC/c

or, sin45/3 = sin45/y

or, 1/√2/3 = 1/√2/y

or, y = 3

Now,

sinC/c = sinA/a

or, sin90/x sin45/3

or, 1/x = 1/√2/3

or, 1/x = 1/3√2

so, x = 3/√2

Estimate 258 +631 Round each addend to the nearest hundred. Then find the sum of the rounded numbers.​

Answers

Answer:

900

Step-by-step explanation:

since 258 is over half of 250, the number will end up 300. 631 falls behind on being half so it'll be only 600. 300+600=900

Mathhhhhhhhhhhhhhhhhhhhhhhh Algebraaaaaaaa

Mathhhhhhhhhhhhhhhhhhhhhhhh Algebraaaaaaaa
Mathhhhhhhhhhhhhhhhhhhhhhhh Algebraaaaaaaa

Answers

Answer:

m=5/3

Step-by-step explanation:

Answer:

5/3 or 1 2/3

Step-by-step explanation:

First you subtract 4/3 from the left side. 23/6-4/3= 2 1/2

Then you multiply 2 on both sides, this simplifies the left side to be 3m and the right side 5.

Lastly, you divide by 3 to isolate the variable m.

And you get 5/3, which also equals 1 2/3

Suppose a three dimensional container has a volume of 19845 cubic inches. Calculate the volume of the container in cubic yards and round your answer to two decimal places.

Answers

Answer:

0.43 cubic yards

Explanation:

We know that 1 cubic yard is equivalent to 46656 cubic inches. So, we can convert 19845 cubic inches into cubic yards as:

\(19845\text{ cubic inches }\times\frac{1\text{ cubic yard}}{46656\text{ cubic inches}}=0.43\text{ cubic yards}\)

Therefore, the answer is 0.43 cubic yards

a recent poll showed what percentage of those between the ages of eight and eighteen could be classified as video game addicts?

Answers

The poll's results indicated that approximately 8.5% of individuals between the ages of eight and eighteen could be classified as video game addicts.

This percentage suggests that a significant number of young people are struggling with excessive video game use, which can have negative consequences for their mental and physical health, academic performance, and social relationships.

It's important to note that not all video game use is harmful or addictive. Many individuals enjoy playing video games in moderation, and some even use them as a way to connect with friends and family or improve their cognitive skills.

According to the pie chart the resulting percentage is 8.5%.

However, excessive video game use can lead to addiction, which can be challenging to overcome.

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a recent poll showed what percentage of those between the ages of eight and eighteen could be classified


Han's Errors
2
Han wanted to find the intercepts of the graph of the equation 10x+4y=20.
He decided to put the equation in slope-intercept form first. Here is his work:
10x + 4y = 20
4y = 20 – 10x
y = 5 - 10x
3
He concluded that the x-intercept is (12,0) and the y-intercept is (0,5).
4
what is his error?

Answers

Answer:

Han forgot to divide -10x by 4

Step-by-step explanation:

Han made a mistake when isolating y in the slope intercept equation.

When dividing both sides by 4, he only divided 20 by 4, and forgot to divide -10x by 4.

The equation in slope intercept form should have been y = -2.5x + 5

Using this, the x intercept should have been (2, 0) instead. He got the y intercept right, which is (0, 5)

So, the mistake he made was forgetting to divide -10x by 4

The error in the calculation made is that Han did not divide 10x by 4 to Obtain the correct slope - intercept relation :

From ; 4y = 20 - 10x

Divide both sides by 4 to isolate y :

y = 5 - 2.5x

Hence, the slope intercept equation is y = 5 - 2.5x

X - intercept :

Value of x ; when y = 0

0 = 5 - 2.5x

2.5x = 5

x = 5 / 2.5

x = 2

Hence, intercept = (2, 0)

Y - intercept :

Value of y when x = 0

y = 5 - 2.5(0)

y = 5 - 0

y = 5

y - intercept = (0, 5)

Therefore, the error made is failing to divide 10 by 4 in the slope intercept equation.

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Given that QM = 15 units, SM = 10 units, and RM = 18 units, what is the length of segment PM?

R

18

M

10

15

Q

OA 13 units

OB.

7 units

Ос.

8 units

OD

12 units

Answers

The length of segment PM would be 12 units

I won't proceed based on your circle's association with any specific segments; instead, I'll use the illustration below.

We can determine QM = 15, SM = 10, and RM = 18 from the image. We apply the formula for determining segment lengths when there are two chords in a circle to determine the length of segment PM.

Our equation QM = (SM)(RM) (PM)

We now enter the information and resolve: (10)(18) = (15)(x) (x)

(10)(18) = 180

(15)(x) = 15x

180 = 15x → 180 ÷ 15 = 12 & 15x ÷ 15 = x

x = 12

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I dont quite understand how to do this​

I dont quite understand how to do this

Answers

Answer:

10

Step-by-step explanation:

substitute -3 in for x

f(-3)=(-3)²+1=

9+1=10

(You can ignore the g(x) part - it has nothing to do with this question.)

please help me or dont

please help me or dont

Answers

Answer:

pentegan easy

Step-by-step explanation:

(c) calculate the p-value for h0: = 1.587, ha: ≠ 1.587; x = 1.605, = 0.23, n = 37.

Answers

To calculate the p-value for this hypothesis test, we first need to calculate the test statistic. The formula for the test statistic is:
t = (x - μ) / (s / √n). Where x is the sample mean, μ is the hypothesized population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.
Plugging in the given values, we get:
t = (1.605 - 1.587) / (0.23 / √37) = 0.74

Next, we need to find the p-value associated with this test statistic. Since this is a two-tailed test (ha: ≠ 1.587), we need to find the probability of getting a test statistic as extreme or more extreme than 0.74 in either direction. Using a t-distribution table or calculator with 36 degrees of freedom (n-1), we find that the probability of getting a t-value of 0.74 or more extreme is 0.2357. Since this is a two-tailed test, we double this probability to get the p-value:
p-value = 2 * 0.2357 = 0.4714
Therefore, the p-value for this hypothesis test is 0.4714. Since this p-value is greater than the usual significance level of 0.05, we do not reject the null hypothesis and conclude that there is not enough evidence to support the claim that the population mean is different from 1.587.

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A rectangular brick wall is 6 m wide and 1 m tall. Use Pythagoras' theorem to work out the distance between diagonally opposite corners. Give your answer in metres (m) to 1 d.p. 1m 6 m​

Answers

The distance between diagonally opposite corners of the rectangular brick wall is approximately 6.08 meters (m).

To find the distance between diagonally opposite corners of a rectangular brick wall, we can use Pythagoras' theorem. According to the theorem, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the two sides of the rectangle are the width (6 m) and the height (1 m). Let's consider the width as the base and the height as the height of a right-angled triangle formed within the rectangle.

Using Pythagoras' theorem, we have:

Hypotenuse^2 = Base^2 + Height^2

Hypotenuse^2 = 6^2 + 1^2

Hypotenuse^2 = 36 + 1

Hypotenuse^2 = 37

To find the length of the hypotenuse (distance between diagonally opposite corners), we take the square root of both sides:

Hypotenuse = √37

Calculating the square root of 37 using a calculator or rounding it to one decimal place, we get:

Hypotenuse ≈ 6.08 meters (m) (rounded to 1 decimal place)

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What is an
equation of the line that passes through the points (6,8) and (-3, 2)?

Answers

Find slope
(2-8)/(-3-6) = -6/-9 = 2/3
Y = 2/3x + b
8 = 2/3(6) + b, b = 4
Solution: y = 2/3x + 4

¿Qué relación hay entre una ecuación y una igualdad?

Answers

Respuesta:

que es una igualdad?

R// es la proposición de equivalencia existenten entre dos exprisiones algebraicas conectadas a através del signo = en la cual, ambas expresan el mismo valor .

¿Qué relación hay entre una ecuación y una igualda?

R// una ecuación solo cumple el igual para determinados valores de la variable; mientras que la igualdad la cumple siempre, sea el valor de la variable.

perdón solo eso se

What is the code in python to remove ' at the beginning and at the end and also remove the item at index 12?

Answers

To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.

To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().

Here's an example:

string = "'example string'"

stripped_string = string.strip("'")

After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.

To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.

Here's an example:

string_list = list(stripped_string)

string_list.pop(12)

result_string = ''.join(string_list)

After executing this code, the value of result_string will be the modified string with the item at index 12 removed.

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Apply distributive property:
-6(2x+5)=

Answers

Answer:

-12x-30

Step-by-step explanation:

First you Distribute -6 times 2x= -12x

Then you multiply -6 times 5=-30

So it is -12x-30

Answer:

-12x-30

Step-by-step explanation:

-6*2x+(-6*5)=-12x-30

WILL GIVE BRAINLIEST Help needed asap

WILL GIVE BRAINLIEST Help needed asap

Answers

Answer:

3rd option: The number of protons and neutrons

Step-by-step explanation:

Protons are positively charged

Neutrons are negatively charged

You can easily remember this by the P and N

For an object to be "neutral", the protons and neutrons have to be equal. If they are not equal it will be positively charged of negatively charged.

A dilation maps (6, 10) to (3,5). What are the coordinates of the image of (12, 4) under the same dilation?

Answers

Answer:

(6,2)

Step-by-step explanation:

sandeep, hee, sara, and mohammad play euchre with a standard deck consisting of 24 cards (a, k, q, j, 10 , and 9 from each of the four suits of a regular deck of playing cards). in how many ways can the deck be dealt so that each player receives 5 cards, with 4 cards left in the middle, one of which is turned face-up? the order of the 3 cards that are left face-down in the middle does not matter, but who receives a particular set of 5 cards (for example, sara or sandeep) does matter.

Answers

There are 23,311,945,600 possible ways to deal the cards to the four players and choose one card to be turned face-up in the middle.

We can calculate the number of ways to deal the cards to the four players and then multiply by the number of ways to choose which card is turned face-up in the middle.

First, there are 24 choose 5 ways to deal the first hand, since each player receives 5 cards. Then, there are 19 choose 5 ways to deal the second hand, since there are now 19 cards left. Similarly, there are 14 choose 5 ways to deal the third hand and 9 choose 5 ways to deal the fourth hand.

So, the number of ways to deal the cards to the four players is:

24 choose 5 * 19 choose 5 * 14 choose 5 * 9 choose 5 = (24! / (5! * 19!)) * (19! / (5! * 14!)) * (14! / (5! * 9!)) * (9! / (5! * 4!))

Now, we need to multiply this result by 4, since there are 4 possible cards to turn face-up in the middle. So, the final answer is:

4 * 24 choose 5 * 19 choose 5 * 14 choose 5 * 9 choose 5 = 4 * (24! / (5! * 19!)) * (19! / (5! * 14!)) * (14! / (5! * 9!)) * (9! / (5! * 4!)) = 4 * 5,827,986,400 = 23,311,945,600.

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On a number line 8.63 would be located... choose all answers that make the statement true

A) to the right of 8.66
B) between 8 and 9
C) between 8.62 and 8.64
D) to the left of 8.61

Answers

Answer:

b and c

Step-by-step explanation:

because they are correct

help please i need help help

help please i need help help

Answers

Answer: here is a picture of all of them I hope this helps :). This picture will clearly show the answers for 1 and 2

Step-by-step explanation:

help please i need help help

What is the remainder when (3x3 â€"" 2x2 4x â€"" 3) is divided by (x2 3x 3)?.

Answers

The remainder of the equation is \(\rm 28x+30\).

Given that,

When the equation \(\rm 3x^3-2x^2+4x-3\) is divided by \(\rm x^2+3x+3\).

We have to find,

The remainder of the equation?

According to the question,

The equation \(\rm 3x^3-2x^2+4x-3\) is divided by \(\rm x^2+3x+3\).

On the division of the polynomial, the remainder is,

\(\dfrac{\rm 3x^3-2x^2+4x-3}{\rm x^2+3x+3}\)

Factorize the equation to convert this into the simplest form,

\(\rm 3x^3-2x^2+4x-3\\\\3x^3-11x^2+9x^2+9x+28x-33x-33+30\\\\Taking \ the \ common \ terms \ and \ simplify\ the\ equation\\\\3x^3+9x^2+9x+11x^2+33x-33+28x+30\\\\3x(x^2+3x+3) - 11(x^2+3x+3) + 28x+30\\\\(3x+11) (x^2+3x+3) +28x +30\)

Now, the equation can be written as,

\(\rm = \dfrac{(3x+11) (x^2+3x+3) +28x +30}{ x^2+3x+3}\\\\= \dfrac{(3x+11) (x^2+3x+3) }{ x^2+3x+3} + \dfrac{28x +30}{ x^2+3x+3}\\\\= (3x+11) + \dfrac{28x +30}{ x^2+3x+3}\\\\\)

The relation between the divisor, remainder, and quotient is,

\(\rm = Quotient + \dfrac{Remainder}{Divisor}\)

On comparing with the equation,

The remainder becomes 28x +30.

Hence, The required remainder of the equation is \(\rm 28x+30\).

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Which of the following shows the true solution to the logarithmic equation below? log (x) log (x 5) = log (6 x 12).

Answers

Anti-log and log a + log b = log ab is used. Then the true solutions of the logarithmic equation are 4 and -3.

What is a logarithm?

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic equation is given below;

log (x) + log (x + 5) = log (6x + 12)

We know that log a + log b = log ab, then we have

log (x) + log (x + 5) = log (6x + 12)

          log (x)(x + 5) = log (6x + 12)

          log (x² + 5x) = log (6x + 12)

Take anti-log, then we have

   x² + 5x = 6x + 12

x² - x - 12 = 0

On factorizing, we have

           x² - x - 12 = 0

  x² - 4x +3x - 12 = 0

x (x - 4) + 3(x - 4) = 0

       (x - 4)(x + 3) = 0

                        x = 4, -3

Thus, the true solutions of the logarithmic equation are 4 and -3.

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Answer: true solutions of the logarithmic equation are 4 and -3.

Step-by-step explanation:

I took the edu pre-test  -22

Select the expression that has a value of 2.472.

A. 0.824 x 3
B. 8.24 x 3
C. 82.4 x 3
D. 824 x 3

Answers

Answer:

A. 0.824 x 3=2.472

Step-by-step explanation:

hope this helps

please show your work !!!!!!!!!!!!

please show your work !!!!!!!!!!!!

Answers

Answer:

\((3.4)\)

Step-by-step explanation:

Our equation is \(f(x)=-2(x-3)^2+4\) Now there are 2 ways you can do this, I'll show you the shortcutIf you have an equation like this, just take the value in parenthesis and equate it to zero\(x-3=0.x=3\) is the x of the vertexPut this back into the equation\(f(x)=-2(x-3)^2+4\\x=3\\f(3)=-2(3-3)^2+4\\f(3)=-2(0)^2+4=4\) this is the y

A teacher buys pizza for her class. There are 5 pizzas, each with 8 slices. If she has 25 students, how many slices of pizza does each student get?
Group of answer choices

Answers

There are 40 slices pratap and 25 kids. 40/25 is 1.6 meaning each student can only get one slice because not everybody could get two
I don’t even knowwww

what is the number one advantage of an experiment over an observational study?

Answers

The number one advantage of an experiment over an observational study is that an experiment allows for the manipulation of variables and the establishment of cause-and-effect relationships between variables.

In an experiment, researchers can control and manipulate the independent variable (the variable being tested) and observe the effects on the dependent variable (the variable being measured).

This level of control allows researchers to establish causal relationships between variables, which cannot be done in observational studies, where the researcher merely observes and measures the variables without intervening or manipulating them.

In other words, experiments allow researchers to determine whether a change in the independent variable causes a change in the dependent variable, which is crucial for making informed decisions in fields such as medicine, psychology, and social sciences.

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pls answer!!

In the figure below, ABC is similar to FED. Find the length of BC.

pls answer!!In the figure below, ABC is similar to FED. Find the length of BC.

Answers

Bc length should be equal to each other
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