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bezimeni [28]
2 years ago
10

Rewrite in simplest radical form x 5/6 x 1/6

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
3 0

Answer:

x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}

Step-by-step explanation:

Given

x^{\frac{5}{6}}/x^{\frac{1}{6}}

Required

Rewrite in simplest radical form

Using laws of indices:

a^m/a^n = a^{m-n}

This implies that

x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5}{6} - \frac{1}{6}}

Solve Exponents

x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5 - 1}{6} }

x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{4}{6} }

Simplify exponent to lowest fraction

x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{2}{3} }

Using laws of indices:

a^{\frac{m}{n}} = \sqrt[n]{a^m}

This implies that

x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}

This is as far as the expression can be simplified

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76% of undergrads in The College

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.76 x .45 = 34.2% of all undergrads are males in The College

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Using four or more complete sentences, contrast race and ethnicity and provide an example of each.
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Answer:

Race and Ethnicity are considered to be social constructs that enable humans to be grouped or categorized. They are sometimes used interchangeably but most argue that they are different and give them different definitions.

Race is generally used to refer to people that have the same physical characteristics such as skin color or the same texture of hair for instance Black and White/Caucasian.

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2 years ago
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The function f is continuous son the interval [2, 10] with some of its values given in the table below. Use a right Riemann Sum
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The 4 subintervals are given: [2, 4], [4, 7], [7, 9], and [9, 10].

Each subinterval has length: 4 - 2 = 2, 7 - 4 = 3, 9 - 7 = 2, and 10 - 9 = 1.

Over each subinterval, we take the value of the function at the right endpoint: 3, 8, 15, and 18.

Then the integral is approximately

\displaystyle\int_2^{10}f(x)\,\mathrm dx\approx3\cdot2+8\cdot3+15\cdot2+18\cdot1=78

so 78.0 is the correct answer.

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2 years ago
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Alley bought 1 pound of potatoes costing $4 from a local grocery store last week. Her final bill included an additional sales ta
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A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence? f(x) = 24(Three-hal
Ede4ka [16]

Answer:

f(x)=16\, (\frac{3}{2} )^{x-1}

Step-by-step explanation:

Since we are given the common ratio (3/2), all we need to find to define the geometric sequence, is its multiplicative factor (a) that corresponds to the first term of the sequence - remember that all consecutive terms will be generated by multiplying this first value repeatedly by the common ratio (3/2) as shown below:  

f(1)=a\\f(2)=a\,*\,(\frac{3}{2} )\\f(3)=a\,*\,(\frac{3}{2} )^2\\f(4)=a\,*\,(\frac{3}{2} )^3\\f(5)=a\,*\,(\frac{3}{2} )^4

Since we are given the information that f(5)=81 we can use this to find the value of the first term:

f(5)=\,a\,*\,(\frac{3}{2} )^4\\81=\,a\,*(\frac{81}{16} )\\a\,*\,81=\,81\.*\,16\\a\,=\,16

Notice as well that the first term doesn't contain the common ratio, the second term contains the common ration (3/2) to the power one, the third one contains the common ratio to the power two, the fourth one contains it to the power three, and so forth. So the exponent at which the common ratio appears is always one unit less than the order (x) of the term in question. This concept helps us finalize the expression for the sequence's formula:

f(x)=16\,*\,(\frac{3}{2} )^{x-1}

6 0
2 years ago
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