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miv72 [106K]
3 years ago
9

Rewrite the expression with a rational exponent as a radical expression.

Mathematics
2 answers:
agasfer [191]3 years ago
7 0

Answer:

The correct answer is B. \sqrt[9]{3}

Step-by-step explanation:

The root of a number can be expressed as the number raised to the power whose exponent is a fractional number. The exponent number will be the inverse of the root index.

In this case, three to the two thirds power all raised to the one sixth power is expressed as:

(3^{\frac{2}{3} }) ^{\frac{1}{6}}

Power of a Power Property: This property states that the power of a power can be found by multiplying the exponents.

So, we multiply the exponents:

\frac{2}{3} \times \frac{1}{6}= \frac{1}{9}

The expression would be:

3^{\frac{1}{9} }

which as a radical expression is:

\sqrt[9]{3}

The four options are expressed as:

a) \sqrt[6]{3}

b) \sqrt[9]{3}

c) \sqrt[18]{3}

d) \sqrt[6]{3^3}

The correct answer is B.

STatiana [176]3 years ago
5 0

The answer should be B.

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(8.4x + 2.9) + (-3.7x + 5).
konstantin123 [22]

Answer:

10

Step-by-step explanation:

4 0
3 years ago
Describe the transformation that maps the pre image A to the image A'
Leya [2.2K]

Answer:

B) translated 6 units to the right then translated 9 units up

Step-by-step explanation:

Just use the graph to follow each translation until you get thee right answer, or you can count how many spaces are from the pre-image to the image. Just make sure to always use the same point.

4 0
3 years ago
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The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
Help I need help ASAP?!!? Thank<br> You:)
alekssr [168]

Answer:

i think its b

Step-by-step explanation:

4 0
3 years ago
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Jan and Wayne went to the store to buy some groceries. Jan bought 2 cans of corn beef hash and 3 cans of creamed chipped beef fo
olasank [31]
You can solve this by using the system of equations.
Jan - 4.95 = 2H + 3C
Wayne - 5.45 = 3H + 2C

Use elimination.
-3(2H + 3C = 4.95)
2(3H + 2C = 5.45)

Solve. And you'll get:
-6H + (-9C) = -14.85
6H + 4C = 10.9

Cross out -6H and 6H because they cancel out. And you're left with:
-9C = -14.85
4C = 10.9

Add -9C with 4C, and -14.85 with 10.9.
-5C = -3.95

Divide each side with -5.
C = $0.79

Now to figure out what H is, just substitute the C in one of the equations with 0.79.
5.45 = 3H + 2(0.79)
5.45 = 3H + 1.58
-1.58            -1.58
3.87 = 3H
3.87/3 = 3/3(H)
1.29 = H

Finished!
7 0
3 years ago
Read 2 more answers
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