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Diano4ka-milaya [45]
3 years ago
10

Which of the following is the simplified form of the seventh root of x times the seventh root of x times the seventh root of x ?

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0
When multiplying numbers of the same base , we add the powers.
Example:
2^2 * 2^3 = 2^(2+3) = 2^5

For the givens:
The seventh root of x can be written as x^(1/7)
Now, we need to multiply x^(1/7) by x^(1/7) by x^(1/7)
These numbers have the same base which is "x", therefore, we will just add the power.
This means that:
x^(1/7) * x^(1/7) * x^(1/7) = x^(1/7 + 1/7 + 1/7) = x^(3/7)

Therefore, the correct choice is the first one: x^(3/7)

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Simplify the given expressions. express all answers with positive exponents. b^2/3 b^1/2
mixas84 [53]
I am assuming 33 is B^(2/3) times B^(1/2)
See the following image

6 0
3 years ago
There were 200,000 animals of a certain species in 1980. Since then,this number has decreased by 4.5% each year. Approximately h
g100num [7]

Answer: Approximately 25187 animals of this species will be left in 2025

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

y = b(1 - r)^x

Where

y represents the population of animals after x years.

x represents the number of years.

b represents the initial population of animals.

r represents rate of decay.

From the information given,

b = 200000

r = 4.5% = 4.5/100 = 0.045

x = 2025 - 1980 = 45 years

Therefore,

y = 200000(1 - 0.045)^45

y = 200000(0.955)^45

y = 25187

8 0
3 years ago
Read 2 more answers
Simplify the following by collecting like terms<br> 9x+x-4x
Mamont248 [21]

Answer:

9x + x - 4x = 6x

they're all like terms so we just add and subtract

5 0
3 years ago
What is the constant of proportionality of y to x?
AleksAgata [21]

<u>Answer:</u>

2.5

<u>Step-by-step explanation:</u>

We are given a graph with a positive slope where the value of y increases when the value of x increases.

For the given graph, we are to find the constant of proportionality of y to x which is the slope of the given line.

We know the formula of the slope = \frac{y_2-y_1} {x_2-x_1}

Substituting the given values in the formula:

\frac{15-10}{6-4} = \frac{5}{2} = 2.5

4 0
3 years ago
Read 2 more answers
Select the correct answer.
eduard

If 30 is half price, then what is full price?

You can set up this problem like this:

30 = x/2

OR

30 = (1/2)x

where x is the full price.

To solve, simply multiply each half by 2:

2(30) = 2((1/2)x)

<u>x = $60</u>

4 0
2 years ago
Read 2 more answers
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