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drek231 [11]
3 years ago
15

describe how to transform (^5 square root x^7)^3 into an expression with a rational exponent. make sure you respond with complet

e sentences
Mathematics
1 answer:
diamong [38]3 years ago
3 0

Answer:

x^\frac{21}{5}

Step-by-step explanation:

We are given an expression and we have to transform it into an expression with exponent.

5th root of x can be written as x^\frac{1}{5}

(\sqrt[5]{x^7})^3\\\\((x^7)^\frac{1}{5} )^3


The powers outside will be multiplied as: (x^a)^b = x^{ab}

(x^\frac{7}{5} )^3\\x^\frac{7*3}{5}\\x^\frac{21}{5}


where the exponent is \frac{21}{5} and it is a rational number by definition of rational numbers

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The cost of a fan is Rs 1,600. If Mrs. Khadka purchased it with 13% VAT, how muc did she pay for it? ​
erastova [34]

Answer:

Rs 1808

Step-by-step explanation:

Sp=Selling price

Mp=main price

  1. Sp=Mp+Mp*VAT
  2. Sp=Rs 1600+Rs 1600*13%
  3. Sp=Rs 1600+Rs 208
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8 0
2 years ago
Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the
Levart [38]

Answer: Choice A.)   88.2 < μ < 93.0

=============================================================

Explanation:

We have this given info:

  • n = 92 = sample size
  • xbar = 90.6 = sample mean
  • sigma = 8.9 = population standard deviation
  • C = 99% = confidence level

Because n > 30 and because we know sigma, this allows us to use the Z distribution (aka standard normal distribution).

At 99% confidence, the z critical value is roughly z = 2.576; use a reference sheet, table, or calculator to determine this.

The lower bound of the confidence interval (L) is roughly

L = xbar - z*sigma/sqrt(n)

L = 90.6 - 2.576*8.9/sqrt(92)

L = 88.209757568781

L = 88.2

The upper bound (U) of this confidence interval is roughly

U = xbar + z*sigma/sqrt(n)

U = 90.6 + 2.576*8.9/sqrt(92)

U = 92.990242431219

U = 93.0

Therefore, the confidence interval in the format (L, U) is approximately (88.2, 93.0)

When converted to L < μ < U format, then we get approximately 88.2 < μ < 93.0 which shows that the final answer is choice A.

We're 99% confident that the population mean mu is somewhere between 88.2 and 93.0

7 0
3 years ago
The slope of a line can be stated many ways if not put into simplest form.
dolphi86 [110]
Your answer is true , it can be stated by putting it into simplest form
8 0
3 years ago
What is 3divided by 1000 divided by5
Tanzania [10]
0.0006 would be your answer based on the order you put them in.
6 0
3 years ago
Solve the system of linear equations by substitution
elena-s [515]
There is the equal values method, so you can do:

x-4 = 4x-10 (remove x from both sides)
-4 = 3x -10 (add ten to both sides)
6 = 3x  (devide by 3x)
2 = x

Check: (by plugging it into the equation)
y = 2-4 and y = 8-10
y = -2 and y = -2
that's matches so it is correct...
 YOUR ANSWER IS:
(2, -2)

I hoped I helped sort things out, and have a great day!
7 0
3 years ago
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