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2 years ago

What is 8 square root of 6 in exponential form

Mathematics

2 answers:

Elena-2011 [213]2 years ago

7 0

Answer: $8$ · $6^\frac{1}{2}$

Step-by-step explanation:

$8\sqrt{6}$

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

$\sqrt[2]{6}^1 =6^\frac{1}{2}$

Answer: $8$ · $6^\frac{1}{2}$

vovikov84 [41]2 years ago

3 0

Its $8^1\cdot6^{1/2}$ .

Hope this helps.

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2 years ago

Solve: In 2x + In 2 = 0<br> DONE

pychu [463]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

We can use some logarithmic rules to solve this easily.

<em>Note: Ln means $Log_e$ </em>

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Now, lets start with the equation:

$ln(2x) + ln(2) = 0\\ln(2x) = -ln(2)$

Writing left side with logarithmic base e, we have:

$Log_{e}(2x) = -ln(2)$

We can now use the property shown below to make this into exponential form:

$Log_{a}b=x\\means\\a^x=b$

So, we write:

$Log_{e}(2x) = -ln(2)\\e^{-ln(2)}=2x$

We recognize another property of exponentials:

$a^{bc}=(a^{b})^{c}$

So, we write:

$e^{-ln(2)}=2x\\(e^{ln(2)})^{-1}=2x$

Also, another property of natural logarithms is:

$e^{(ln(a))}=a$

Now, we simplify:

$(e^{ln(2)})^{-1}=2x\\(2)^{-1}=2x\\\frac{1}{2}=2x\\x=\frac{\frac{1}{2}}{2}\\x=\frac{1}{4}$

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7 0

2 years ago

In a random sample of 8 people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.4 minutes. A 90

konstantin123 [22]

Answer:

Margin of Error = 5.4088 ;

Confidence interval = (30.1 ; 40.9)

Interval estimate are almost the same

Step-by-step explanation:

Given that :

Population standard deviation, σ = 9.3

Sample size, n = 8

Xbar = 35.5

Confidence level = 90%

The confidence interval:

Xbar ± Margin of error

Margin of Error = Zcritical * σ/sqrt(n)

Zcritical at 90% = 1.645

Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088

Confidence interval :

Xbar ± Margin of error

35.5 ± 5.4088

Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1

Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9

(30.1 ; 40.9)

T distribution =. (30.5 ; 40.5)

Normal distribution = (30.1, 40.9)

4 0

2 years ago

Resuelve el siguiente ejercicio:

exis [7]

Answer:

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Cuanto recibiré de cambio 76 $

Step-by-step explanation:

Mis compras son:

1 lápiz 3,50 $

2 plumas 7,90 $

1Libreta 12,60 $

Lo que quiere decir que compre:

3,50 + 7,90 + 12,60 = 24 $

Si cancelo mis compras con un billete de 100 $ me tienen que dar vuelto por:

100 $ - 24 $ = 76 $

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2 years ago