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umka2103 [35]
3 years ago
5

What is 1.08 to the power of

\frac{1}{5}" align="absmiddle" class="latex-formula">? Show your steps
Mathematics
2 answers:
lord [1]3 years ago
8 0

Answer:

1.01551

Step-by-step explanation:

1.08^1/5 = 1.01551

There's really no way of showing work for this problem unless you wanna convert 1/5 to a decimal and multiply that way.

I just did it on the calculator because most schools allow you to do exponents this way.

Vesna [10]3 years ago
6 0

Step-by-step explanation:

a^\frac{1}{n}=\sqrt[n]{a}\\\\1.08^\frac{1}{5}=\sqrt[5]{1.08}\qquad\text{convert the decimal to the fraction}\\\\=\sqrt[5]{\dfrac{108}{100}}=\sqrt[5]{\dfrac{108\cdot1000}{100\cdot1000}}=\sqrt[5]{\dfrac{108000}{100000}}=\dfrac{\sqrt[5]{108000}}{\sqrt[5]{100000}}=\dfrac{\sqrt[5]{108000}}{10}\\\\\text{You can use a calculator:}\\\\1.08^\frac{1}{5}=\sqrt[5]{1.08}\approx1.015511

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2x-1/4 + x/3 = 2<br> Solve the equation
Marta_Voda [28]

Answer:

below

Step-by-step explanation:

steps are shown above

7 0
3 years ago
2) Evaluate 9 X 364 – 9 X 125 – 9 X 39 without the use of your calculator
Brums [2.3K]

Answer:

<em>9*364 - 9*125 - 9*39 = 1,800</em>

Step-by-step explanation:

<em>Mental Calculation</em>

If we detect known patterns in the calculations, we could easily give their results without the use of calculators.

We are given the expression to evaluate:

9*364 - 9*125 - 9*39

The first thing to note is the 9 is a common factor of all terms, thus we take it out:

9*(364 - 125 - 39)

The negative numbers can be easily added

     125

+     39

------------

     164

Now our expression is much easier:

9*(364 - 164)

The subtraction of 364-164 is 200, thus the result of the operations is:

9*200. We only need to recall 9*2=18 and add two zeros to get 1,800, thus:

9*364 - 9*125 - 9*39 = 1,800

7 0
3 years ago
Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110% more
Andre45 [30]

Answer:

[ 11 - 10 ] / 10 x 100%

= 1 /10 x 100%

= 10%

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7 0
3 years ago
Determite weather the ordered pair is a solution of the linear equation x=y+1/2;(-5,-2)
Minchanka [31]

Answer:

(y+1/2  ; y)

Step-by-step explanation:

hello :  all  ordered pair is a solution of the linear equation x=y+1/2;(-5,-2) is :

(y+1/2  ; y)

(-5 ; -2) is not  solution because y = -2  but  -2+1/2 = -3/2 no -5

7 0
3 years ago
An ant looks up to the top of a building at an angle of elevation of 32°. Then, the ant walks an additional 88 feet from the edg
Naddik [55]
Tanα=h/x, tanß=h/(x+88)

solving both for x

x=h/tanα, x=h/tanß-88, since x=x

h/tanα=h/tanß-88

h/tanß-h/tanα=88

(htanα-htanß)/(tanα*tanß)=88

h(tanα-tanß)/(tanα*tanß)=88

h=88(tanα*tanß)/(tanα-tanß)

Since α=32 and ß=22...

h=88(tan32*tan22)/(tan32-tan22)

h≈85.3 feet


8 0
3 years ago
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