What is the simplified form of the following expression? Assume x not-equals 0. RootIndex 5 StartRoot StartFraction 10 x Over 3 x cubed EndFraction EndRoot

Answers

Answer 1
Answer:

Answer:

  \frac{\sqrt[5]{810x^3}}{3x}

Step-by-step explanation:

As a rule, the "simplified form" means there are no fractions under a radical.

  \sqrt[5]{(10x)/(3x^3)}=\sqrt[5]{(10x(3^4x^2))/(3x^3(3^4x^2))}=\sqrt[5]{(810x^3)/((3x)^5)}=\boxed{\frac{\sqrt[5]{810x^3}}{3x}}

Answer 2
Answer:

Answer:

D on Edge

Step By Step Explination:

I did the test


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Solve the logarithmic equation. be sure to reject any value that is not in the domain of the original logarithmic expressions. give the exact answer. log8(5x + 8) = log8(5x + 5)

Answers

this is the answer: false, because the domain is incorrect

What is the range of the function on the graph?O all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to 1
O all real numbers greater than or equal to 2

Answers

Answer:

4th Option: All real numbers greater than or equal to 2.

Step-by-step explanation:

Range is the set of y-values that can be outputted by function f(x).

We see here our range spans from 2 to infinity. Since 2 is a closed dot, we can include it in our range. Therefore our answer is All real numbers that are greater than or equal to 2.

[2, ∞)

Answer:all real numbers greater than or Equal to 2

Step-by-step explanation:

At a concert 2/5 of the people were men, there were 3 times as many women as children. If there were 45 more men than children, how many people were there at the concert.

Answers

Final answer:

In solving the question, we establish two equations based on the condition provided, including the ratios among men, women, and children. Solving the equation, we find out that there were 270 people at the concert.

Explanation:

This question relates to the mathematical concept of ratio and proportion as well as fraction.

According to the question, 2/5 of the attendees at the concert were men and men outnumbered children by 45. First, let's make the number of children, x. So, the number of men will be x + 45. Because 2/5 of the total attendees were men, set up the equation: 2/5 * Total = x + 45.

There were 3 times as many women as children, thus the number of women will be 3x. So, the total number of people in the concert is the sum of the men, women, and children, which is (x + 45) + 3x + x. Simplifying this, we get 5x + 45 = Total. Therefore, if we substitute (x + 45) for 2/5 of the total in our original equation, we have 2/5 * (5x + 45) = x + 45. Solving this equation, we get x = 45.

So, if we substitute x=45 into our total equation, we get Total = 5(45) + 45 = 270. Therefore, there were 270 people at the concert.

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This involves creating some equations.

First, these are what the letters I used stand for:

c = children

w = women

m = men

x = total population

Then, we must make an equation for each statement.

2/5x = m (2/5 of the people are men)

3c = w (there are 3 times as many women than children)

45+c = m (there are 45 more men than children)

Now, let's start plugging in our numbers:

x = all the men, women, and children

2/5(m+w+c) = m

2/5 (45+c +3c + c) = m     [Now simplify]

2/5 (45 + 5x) = m       [Now Distribute]

2/5(45) + (2/5)(5x) = m

2c + 18 = m    [Above we stated that there were the same amount as men as c +45]

2c + 18 = 45 +c     [Now set equal to c]

2c (-c) +18 = 45 +c (-c)

c+18 (-18) = 45 (-18)

c = 27

Now that we know that there was 27 children, we can plug 27 in for c in the other equations.

MEN = 27 + 45

WOMEN = 3(27)

CHILDREN = 27

Now add those three answers to find your total!

55.04 is what percent of 21.5

Answers

The number 55.04 is 256 % of 256 percentage of the number 21.5

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage be represented as A

Let the first number be represented as p

Now , the value of p = 55.04

Now , the second number is q = 21.5

Now , the percentage of the number 55.04 of 21.50 is given by

p = A % of 21.5

p = ( A / 100 ) x 21.5

Multiply by 100 on both sides , we get

5504 = 21.5A

Divide by 21.5 on both sides , we get

A = 5504 / 21.5

A = 256 %

Therefore , the value of A is 256 %

Hence , the percentage is 256 %

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256% is definitely the answer

Subtract 3 from 4/9 of 20

Answers

Answer:

5 8/9

Step-by-step explanation:

20*4/9=8 8/9

8 8/9–3=5 8/9

Harold spends 1/6 of the year on his aunts farm. He has done this for the last 8 years. What is the total amount of years, in simplest form , that Harold has spent on his aunts farm? Please explain to me step by step how this problem is solved! Thank you

Answers

First, multiply 1/6 times 8.  This gets you 8/6, which reduces to 4/3.  This means that she has spent 4/3 of a year on the farm.  Now if you'd like, you can simplify this to 1 1/3 years, depending on what your teacher wants.