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Helen [10]
3 years ago
8

Simplify the cubed root of six over the fourth root of six

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
8 0

Answer:

six raised to the one twelfth power

Step-by-step explanation:

The cubed root of 6/the fourth root of 6 equals (6^1/3)/(6^1/4)

6^((1/3)-(1/4))

6^((4-3)/12)

6^1/12

Maurinko [17]3 years ago
7 0

Answer:

six raised to the one twelfth power

Step-by-step explanation:

The problem ask to simplify this expression:

\frac{\sqrt[3]{6} }{\sqrt[4]{6} }

In order to do it, we can consider the following propierties:

\sqrt[y]{a^x} =a^{\frac{x}{y}}\\ \\a^{-n}=\frac{1}{a^n}\\\\x^y x^z=x^{y+z}

Using the first propierty, we can rewrite the expression as:

\frac{6^{\frac{1}{3} } }{6^{\frac{1}{4} } }

Now, let's use the second propierty:

6^{\frac{1}{3} } 6^{-\frac{1}{4} }

Finally, using the third propierty:

6^{\frac{1}{3} } 6^{-\frac{1}{4} }=6^{\frac{1}{3} - \frac{1}{4} }=6^{\frac{1}{12}}

Therefore the answer is six raised to the one twelfth power

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Step-by-step explanation:

3 0
3 years ago
If 0° ≤ θ ≤ 90° and cosθ = 11/15 , what is the value of sin (90° - θ)?
igor_vitrenko [27]
11/15=0.7333
cos^{-1}(0.7333) =42.83342
sin(90-47.166572) = 0.7333

first, find the numeric value for 11/15
second to find theta, simply do the <em>inverse</em> cos (which is cos^-1) of the first answer.
now you know theta, just do the sin of 90 - theta and that's it!

since you know whatr cos(theta) is, you just take the inverse cos of that number to get theta and 'reverse' cos, essentially. you are just solving for theta, by reversing the cos function with cos^-1
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7 0
3 years ago
Read 2 more answers
Translate the sentence into an equation. Five more than the product of a number and 9 is equal to 6
kap26 [50]
The first thing we will do for this case is to define the following variable:
 x = real number.
 We then have the following sentence:
 "Five more than the product of a number and 9 is equal to 6"
 The equation sought is:
 9x + 5 = 6
 Answer:
 
An equation for the sentence is:
 
9x + 5 = 6
6 0
3 years ago
Round 47.219 to the nearest tenth.​
saveliy_v [14]

Answer:

47.2

Step-by-step explanation:

7 0
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Sofia is working two summer jobs, making $12 per hour babysitting and making $8 per hour clearing tables. In a given week, she c
Mamont248 [21]

The possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2, 3 hours

<em><u>Solution:</u></em>

Amount earned in babysitting = $ 12 per hour

Amount earned in clearing tables = $ 8 per hour

In a given week, she can work a maximum of 17 total hours and must earn a minimum of $180

Sofia worked 14 hours babysitting

Therefore,

Amount earned at babysitting = 14 x 12 = 168

Thus, Sofia earned $ 168 at babysitting

Sofia must earn a minimum of $ 180

Remaining amount to be earned = 180 - 168 = 12

Thus, Sofia must earn $ 12 from clearing tables

Amount earned in clearing tables = $ 8 per hour

So, she must work for atleast 1.5 hours to get $ 12 from clearing tables

She can work a maximum of 17 total hours and Sofia worked 14 hours babysitting

Remaining is 17 - 14 = 3 hours

Thus possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2 hours or 3 hours

3 0
3 years ago
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